WhaletechAI/Absorb-1B-Dataset · Datasets at Hugging Face

input_ids listlengths 1.02k 1.02k	attention_mask listlengths 1.02k 1.02k
[ 0, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 314, 11333, 311, 3176, 275, 575, 3119, 273, 1950, 18, 4868, 782, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 268, 397, 575, 68, 768, 19, 2892, 1293, 226, 314, 778, 397, 275, 782, 353, 508, 1392, 1877, 7057, 6043, 20, 14586, 27127, 204, 305, 407, 575, 68, 768, 204, 268, 456, 20501, 8252, 744, 2982, 1308, 1429, 782, 311, 1225, 440, 431, 204, 204, 461, 636, 68, 4649, 68, 768, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 3893, 496, 490, 353, 437, 1534, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 575, 677, 537, 448, 437, 1534, 19, 204, 264, 320, 204, 264, 314, 11333, 311, 3176, 275, 575, 3119, 273, 1097, 1534, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 456, 20501, 8252, 744, 2982, 2064, 273, 1097, 1534, 431, 204, 204, 461, 32724, 68, 13378, 68, 17780, 13, 492, 31, 394, 17, 5752, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 17761, 275, 537, 1068, 974, 275, 21752, 8384, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 1068, 322, 325, 330, 334, 1068, 311, 14251, 19, 204, 268, 5752, 322, 339, 330, 334, 5752, 700, 348, 275, 21752, 8384, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 8079, 1068, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 8079, 2724, 204, 264, 8079, 68, 492, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 1943, 292, 275, 537, 1068, 204, 264, 348, 1125, 292, 1068, 31, 204, 268, 314, 778, 397, 275, 1943, 353, 437, 8123, 204, 268, 397, 1125, 19, 20368, 1293, 204, 305, 314, 4347, 275, 8123, 311, 732, 1609, 523, 275, 1322, 302, 275, 1943, 204, 305, 8123, 289, 548, 32977, 24308, 68, 48304, 397, 1125, 19, 31651, 374, 902, 9060, 23529, 24308, 68, 48304, 204, 3123, 305, 314, 888, 275, 1112, 302, 275, 1943, 292, 275, 8123, 204, 305, 1112, 289, 8123, 19, 998, 13, 2441, 14, 204, 3123, 305, 314, 888, 275, 8079, 1112, 974, 275, 21752, 8384, 2089, 204, 305, 8079, 68, 998, 289, 322, 998, 465, 5752, 14, 1564, 1245, 13, 15252, 14, 204, 3123, 305, 314, 5230, 275, 8079, 1943, 311, 275, 458, 204, 305, 8079, 68, 492, 19, 1223, 13, 15252, 64, 16452, 68, 998, 694, 204, 268, 902, 31, 204, 305, 314, 828, 275, 1943, 353, 508, 437, 8123, 17, 6283, 490, 448, 353, 204, 305, 8079, 68, 492, 19, 1223, 13, 2441, 14, 204, 615, 264, 314, 9828, 275, 8079, 2724, 1025, 273, 782, 329, 407, 204, 264, 407, 13080, 1541, 13, 16452, 68, 492, 14, 204, 204, 461, 32724, 68, 13378, 68, 20480, 13, 16452, 68, 492, 31, 394, 17, 5752, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 19498, 275, 537, 1068, 974, 275, 21752, 8384, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 8079, 68, 492, 322, 325, 330, 334, 1068, 311, 15194, 19, 204, 268, 5752, 322, 339, 330, 334, 5752, 700, 348, 275, 21752, 8384, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 12225, 1068, 19, 204, 264, 320, 204, 264, 314, 334, 22455, 1352, 353, 275, 1729, 448, 11255, 17, 1101, 440, 273, 2917, 5752, 204, 264, 407, 32724, 68, 13378, 68, 17780, 13, 16452, 68, 492, 17, 338, 8115, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 311, 4490, 275, 21752, 8384, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1068, 311, 14251, 497, 275, 575, 204, 264, 1068, 289, 636, 68, 5198, 68, 4868, 68, 1031, 499, 2101, 1068, 311, 14251, 31, 2810, 204, 615, 264, 314, 763, 275, 5752, 700, 497, 275, 575, 204, 264, 5752, 289, 636, 68, 4649, 68, 768, 499, 2101, 5752, 322, 4649, 14, 311, 732, 31, 2810, 204, 615, 264, 314, 17761, 275, 1068, 974, 275, 21752, 8384, 204, 264, 8079, 68, 492, 289, 32724, 68, 13378, 68, 17780, 13, 492, 17, 5752, 14, 204, 615, 264, 314, 1198, 275, 8079, 1068, 204, 264, 456, 13, 75, 7, 42677, 1068, 974, 21752, 8384, 31, 463, 16452, 68, 492, 743, 204, 615, 264, 314, 19498, 275, 1068, 974, 275, 21752, 8384, 204, 264, 12225, 68, 492, 289, 32724, 68, 13378, 68, 20480, 13, 16452, 68, 492, 17, 5752, 14, 204, 615, 264, 314, 1198, 275, 12225, 1068, 204, 264, 456, 13, 75, 7, 47019, 1068, 974, 21752, 8384, 31, 463, 29203, 68, 492, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 12202, 532, 9124, 17, 14484, 204, 204, 676, 13985, 13, 8927, 330, 204, 264, 320, 204, 264, 11663, 1034, 850, 348, 11619, 19, 204, 204, 264, 1058, 850, 8913, 275, 2399, 1216, 496, 32065, 275, 3214, 302, 275, 3372, 19, 204, 264, 25712, 22704, 3288, 275, 2824, 2758, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 17666, 275, 3372, 1279, 204, 268, 1879, 204, 204, 264, 1642, 9017, 204, 264, 436, 7324, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 28656, 275, 3372, 348, 5156, 19, 204, 204, 268, 1058, 1216, 353, 13379, 311, 444, 7306, 560, 12939, 22704, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 264, 1642, 9017, 204, 264, 436, 4490, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18155, 275, 667, 2661, 302, 275, 3372, 19, 204, 204, 268, 1058, 1216, 353, 13379, 311, 444, 7306, 560, 12939, 22704, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 264, 1642, 9017, 204, 264, 436, 2423, 504, 13, 327, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10622, 1440, 275, 3372, 1877, 5156, 19, 204, 204, 268, 1058, 1216, 353, 13379, 311, 444, 7306, 560, 12939, 22704, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 264, 436, 1523, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 3372, 19, 204, 204, 268, 1058, 1216, 8913, 275, 2399, 348, 275, 3372, 17, 14101, 275, 7324, 17, 4490, 17, 329, 2423, 504, 2986, 292, 1767, 19, 204, 268, 320, 204, 268, 456, 499, 19250, 275, 3372, 7862, 204, 268, 370, 19, 14665, 374, 204, 268, 370, 19, 4118, 374, 204, 268, 370, 19, 43657, 374, 204, 268, 456, 499, 19442, 7868, 1280, 204, 204, 204, 676, 1594, 18055, 19442, 13, 19442, 330, 204, 264, 320, 204, 264, 25712, 5581, 302, 275, 3372, 348, 424, 5539, 19, 204, 264, 320, 204, 204, 264, 436, 7324, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5434, 21359, 275, 424, 348, 5539, 1279, 204, 268, 456, 499, 5434, 46299, 424, 7862, 204, 204, 264, 436, 4490, 13, 327, 14, 393, 443, 31, 204, 268, 320, 1560, 3851, 275, 424, 1279, 204, 268, 456, 499, 18055, 424, 7862, 204, 204, 264, 436, 2423, 504, 13, 327, 14, 393, 443, 31, 204, 268, 320, 12222, 1440, 275, 424, 5539, 1279, 204, 268, 456, 499, 12222, 4616, 424, 5539, 7862, 204, 204, 204, 676, 13985, 14350, 31, 204, 264, 320, 204, 264, 5297, 7029, 348, 4141, 329, 4436, 11619, 19, 204, 264, 320, 204, 204, 264, 436, 838, 68, 10992, 13, 327, 17, 3372, 68, 932, 31, 394, 14, 393, 13985, 31, 204, 268, 320, 204, 268, 2605, 437, 1014, 302, 275, 1713, 3372, 19, 204, 204, 268, 457, 31, 204, 268, 3372, 68, 932, 322, 325, 330, 334, 1187, 302, 3372, 311, 838, 19, 204, 204, 268, 475, 31, 204, 268, 13985, 31, 1346, 1014, 302, 275, 1713, 3372, 19, 204, 268, 320, 204, 268, 397, 3372, 68, 932, 564, 388, 481, 68, 13892, 559, 204, 305, 407, 1594, 18055, 19442, 374, 204, 268, 902, 31, 204, 305, 980, 987, 499, 15204, 3372, 1187, 431, 204, 204, 264, 436, 1523, 68, 10992, 13, 327, 17, 3372, 31, 13985, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 1713, 3372, 19, 204, 204, 268, 457, 31, 204, 268, 3372, 322, 19442, 330, 334, 3372, 311, 1523, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 3372, 19, 1777, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 436, 667, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3338, 1216, 496, 6944, 275, 3372, 19, 204, 268, 320, 204, 268, 3372, 289, 370, 19, 1510, 68, 10992, 499, 481, 68, 13892, 431, 204, 268, 370, 19, 1777, 68, 10992, 13, 10992, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 11894, 289, 13985, 14350, 374, 204, 264, 11894, 19, 660, 374, 204, 0, 13084, 1583, 273, 19664, 1608, 874, 887, 3509, 42150, 36, 204, 204, 38, 6871, 1608, 353, 273, 16537, 496, 3192, 887, 3509, 435, 41, 42150, 2404, 273, 6871, 869, 887, 6587, 19, 7616, 3469, 302, 275, 6871, 4504, 273, 2220, 2945, 292, 571, 41, 2817, 19, 334, 887, 42150, 529, 1376, 311, 1640, 275, 1019, 348, 848, 2945, 17, 11439, 275, 6871, 1608, 311, 2304, 273, 2945, 311, 273, 700, 19, 204, 204, 673, 6871, 1608, 5018, 273, 571, 41, 40786, 2450, 348, 8813, 2404, 490, 353, 275, 1901, 2323, 2501, 311, 636, 275, 2945, 497, 275, 15558, 1007, 1273, 872, 3480, 311, 1672, 275, 1964, 2304, 4558, 19, 334, 571, 41, 40786, 2450, 353, 1376, 311, 3822, 928, 3469, 302, 275, 6871, 311, 1672, 497, 329, 275, 2992, 311, 732, 348, 8813, 19, 204, 204, 673, 17428, 302, 974, 273, 6871, 1608, 440, 887, 3509, 42150, 2255, 31, 204, 204, 15, 32920, 311, 3288, 974, 4449, 12526, 15875, 496, 353, 18972, 348, 435, 41, 2388, 204, 15, 9178, 2821, 311, 949, 275, 3469, 329, 2992, 311, 1672, 497, 204, 15, 5134, 1828, 25519, 17, 9504, 1429, 25519, 1741, 1336, 3332, 275, 13303, 302, 275, 6871, 204, 204, 11892, 17, 904, 16453, 571, 41, 7687, 521, 27108, 618, 444, 1376, 17, 1101, 1250, 1741, 4426, 1182, 3700, 2821, 521, 874, 1182, 25519, 19, 334, 6871, 1608, 677, 12116, 329, 9208, 1895, 490, 273, 7458, 3508, 348, 1910, 7177, 19, 204, 204, 5399, 677, 273, 1660, 18, 1424, 18, 2290, 11414, 302, 1662, 273, 6871, 1608, 5994, 31, 204, 204, 22, 19, 332, 571, 41, 40786, 2450, 353, 1376, 311, 3822, 275, 2945, 497, 275, 15558, 1007, 19, 204, 23, 19, 334, 2945, 353, 1376, 311, 3822, 928, 3469, 302, 275, 6871, 311, 1672, 497, 19, 204, 24, 19, 334, 2992, 529, 3392, 311, 1672, 497, 275, 4285, 3469, 19, 204, 25, 19, 334, 700, 353, 8781, 497, 275, 6871, 1608, 974, 275, 3392, 2992, 19, 204, 26, 19, 334, 8781, 700, 353, 1376, 311, 3822, 275, 2423, 722, 17, 1702, 448, 275, 1848, 521, 11527, 302, 273, 6729, 19, 204, 204, 26212, 17, 275, 6871, 1608, 677, 732, 302, 887, 3509, 42150, 329, 273, 571, 41, 40786, 2450, 6876, 490, 311, 18540, 329, 13055, 2304, 7505, 311, 1019, 17, 4461, 490, 273, 10652, 5910, 348, 1910, 7177, 292, 5431, 17028, 329, 904, 2357, 19, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 33236, 204, 531, 1907, 19, 2918, 19, 11348, 532, 24368, 68, 14539, 448, 906, 204, 531, 2617, 5010, 68, 13722, 19, 2574, 68, 13722, 532, 5336, 38089, 16251, 7700, 204, 531, 1804, 532, 1804, 204, 204, 676, 16949, 13, 36862, 330, 204, 264, 320, 204, 264, 5336, 2221, 570, 440, 1692, 448, 275, 4408, 4634, 19, 204, 204, 264, 1532, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 7540, 560, 275, 575, 19, 204, 268, 1692, 322, 325, 330, 334, 1692, 1995, 302, 275, 575, 19, 204, 264, 320, 204, 264, 2143, 68, 14338, 289, 5336, 38089, 16251, 7700, 374, 204, 204, 264, 2143, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 394, 289, 1094, 19, 2580, 13, 204, 268, 13414, 2574, 2008, 204, 268, 846, 68, 1205, 34, 9333, 17, 204, 268, 1340, 68, 492, 15265, 10888, 19, 7669, 2724, 521, 14645, 19, 33375, 17, 3258, 329, 1642, 20, 17311, 16, 23228, 45404, 1698, 19, 2008, 204, 268, 10519, 3603, 2574, 68, 14338, 648, 204, 268, 908, 68, 6051, 2508, 204, 305, 379, 5271, 597, 19861, 38, 575, 440, 496, 2143, 2861, 2560, 41646, 204, 268, 4752, 204, 264, 1179, 204, 204, 264, 1692, 31, 394, 289, 1094, 19, 15478, 21273, 2302, 1995, 2008, 4247, 34, 1975, 17, 2220, 34, 1021, 14, 204, 204, 264, 36427, 68, 18194, 289, 379, 2302, 12, 204, 264, 39331, 68, 18194, 289, 379, 2302, 12, 204, 264, 43700, 68, 24907, 289, 2470, 2574, 839, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 16949, 570, 19, 204, 268, 320, 204, 268, 3958, 748, 578, 289, 379, 10475, 68, 6520, 68, 9534, 12, 204, 204, 676, 9258, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 437, 1650, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1650, 19, 204, 268, 12214, 68, 1011, 68, 359, 322, 325, 330, 334, 7265, 8406, 1222, 302, 275, 1650, 19, 204, 268, 740, 68, 4046, 68, 359, 322, 325, 330, 334, 1736, 6993, 1222, 302, 275, 1650, 19, 204, 268, 740, 68, 27646, 322, 325, 330, 334, 1736, 29016, 1222, 302, 275, 1650, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9333, 14, 204, 264, 12214, 68, 1011, 68, 359, 31, 394, 289, 1094, 19, 7320, 374, 204, 264, 740, 68, 4046, 68, 359, 31, 394, 289, 1094, 19, 7320, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 740, 68, 27646, 31, 394, 289, 1094, 19, 7320, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 9258, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 25991, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 35592, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 575, 677, 13016, 311, 437, 1650, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 27703, 330, 334, 575, 1415, 36999, 311, 275, 1650, 19, 204, 268, 740, 322, 6948, 330, 334, 1650, 496, 275, 575, 36999, 311, 19, 204, 264, 320, 204, 264, 575, 31, 16949, 289, 1094, 19, 4483, 13, 27703, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 34130, 534, 204, 264, 740, 31, 9258, 289, 1094, 19, 4483, 13, 6948, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 36112, 534, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 35592, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 34130, 12, 204, 268, 2220, 68, 18356, 289, 2448, 816, 491, 379, 748, 534, 204, 204, 676, 29089, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 6280, 322, 74, 19, 76, 19, 46113, 17, 23720, 789, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 6280, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9333, 17, 2220, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 29089, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 34432, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 25521, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 6374, 322, 22, 18, 26, 14, 348, 437, 1650, 523, 273, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 2279, 68, 26, 322, 339, 330, 334, 542, 302, 720, 18, 12113, 10161, 19, 204, 268, 2279, 68, 25, 322, 339, 330, 334, 542, 302, 681, 18, 12113, 10161, 19, 204, 268, 2279, 68, 24, 322, 339, 330, 334, 542, 302, 571, 18, 12113, 10161, 19, 204, 268, 2279, 68, 23, 322, 339, 330, 334, 542, 302, 435, 18, 12113, 10161, 19, 204, 268, 2279, 68, 22, 322, 339, 330, 334, 542, 302, 368, 18, 12113, 10161, 19, 204, 264, 320, 204, 264, 2279, 68, 26, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 25, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 24, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 23, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 22, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 949, 68, 5670, 68, 6124, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 888, 275, 2480, 6374, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 2480, 6374, 19, 204, 268, 320, 204, 268, 1113, 68, 12216, 289, 370, 19, 2224, 68, 26, 465, 370, 19, 2224, 68, 25, 465, 370, 19, 2224, 68, 24, 465, 370, 19, 2224, 68, 23, 465, 370, 19, 2224, 68, 22, 204, 268, 397, 1113, 68, 12216, 564, 500, 31, 204, 305, 407, 500, 204, 268, 407, 322, 327, 19, 2224, 68, 26, 540, 720, 465, 370, 19, 2224, 68, 25, 540, 681, 465, 370, 19, 2224, 68, 24, 540, 571, 465, 370, 19, 2224, 68, 23, 540, 435, 465, 370, 19, 2224, 68, 22, 540, 368, 14, 802, 1113, 68, 12216, 204, 204, 676, 18852, 989, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 3155, 424, 348, 437, 1650, 523, 273, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 740, 322, 6948, 330, 334, 1650, 19, 204, 268, 6280, 322, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27775, 330, 334, 6280, 19, 204, 268, 6374, 322, 23728, 330, 334, 6374, 19, 204, 268, 1395, 68, 672, 322, 2664, 330, 334, 1489, 302, 275, 1673, 1395, 19, 204, 264, 320, 204, 264, 740, 31, 9258, 289, 1094, 19, 4483, 13, 6948, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 6956, 68, 481, 534, 204, 264, 6280, 31, 29089, 289, 1094, 19, 4483, 13, 27775, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 6956, 68, 481, 534, 204, 264, 6374, 31, 25521, 289, 1094, 19, 20748, 13, 23728, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 6956, 68, 481, 534, 204, 264, 1395, 68, 672, 31, 1804, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 18852, 989, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 6956, 68, 481, 12, 204, 268, 2220, 68, 18356, 289, 2448, 748, 491, 379, 10202, 534, 204, 204, 676, 22578, 989, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 8916, 424, 348, 437, 1650, 523, 273, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 740, 322, 6948, 330, 334, 1650, 19, 204, 268, 6280, 322, 27775, 330, 334, 6280, 19, 204, 268, 6374, 322, 23728, 330, 334, 6374, 19, 204, 268, 1395, 68, 672, 322, 2664, 330, 334, 1489, 302, 275, 1673, 1395, 19, 204, 268, 1673, 68, 2045, 68, 748, 322, 2664, 330, 334, 1489, 302, 275, 1673, 1650, 1395, 19, 204, 268, 1673, 68, 2045, 68, 481, 322, 2664, 330, 334, 1489, 302, 275, 1673, 424, 1395, 19, 204, 264, 320, 204, 264, 740, 31, 9258, 289, 1094, 19, 4483, 13, 6948, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 24899, 68, 481, 534, 204, 264, 6280, 31, 29089, 289, 1094, 19, 4483, 13, 27775, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 24899, 68, 481, 534, 204, 264, 6374, 31, 25521, 289, 1094, 19, 20748, 13, 23728, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 24899, 68, 481, 534, 204, 264, 1395, 68, 672, 31, 1804, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 14, 204, 264, 1673, 68, 2045, 68, 748, 31, 1804, 289, 1094, 19, 6602, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 1673, 68, 2045, 68, 481, 31, 1804, 289, 1094, 19, 6602, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 22578, 989, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 24899, 68, 481, 12, 204, 268, 2220, 68, 18356, 289, 2448, 748, 491, 379, 10202, 534, 204, 0, 531, 3022, 68, 7522, 19, 4280, 532, 35003, 204, 531, 3022, 68, 7522, 19, 1935, 532, 4899, 204, 531, 3022, 68, 7522, 532, 1714, 204, 531, 2617, 1618, 532, 9582, 204, 531, 2617, 12873, 532, 9582, 5449, 204, 204, 676, 9582, 3244, 13, 17368, 330, 204, 264, 320, 204, 264, 1426, 4559, 329, 6379, 2164, 348, 4240, 19, 204, 264, 320, 204, 204, 264, 436, 636, 13, 327, 17, 824, 31, 726, 14, 393, 4899, 31, 204, 268, 320, 204, 268, 1426, 4559, 2164, 348, 4240, 19, 204, 204, 268, 475, 31, 204, 305, 4899, 31, 332, 22646, 458, 302, 4240, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1472, 542, 497, 275, 1484, 2072, 204, 268, 1472, 68, 1190, 289, 824, 19, 5016, 19, 505, 611, 2225, 68, 1625, 491, 443, 14, 204, 822, 268, 314, 4491, 830, 4240, 292, 9267, 1552, 302, 690, 204, 268, 4240, 289, 9582, 19, 2856, 19, 668, 1528, 1115, 68, 1424, 6905, 834, 534, 204, 822, 268, 314, 43042, 275, 4240, 1609, 523, 275, 1917, 1472, 542, 204, 268, 407, 370, 806, 45919, 68, 7577, 13, 7577, 17, 1472, 68, 1190, 14, 204, 204, 264, 436, 1722, 13, 327, 17, 824, 31, 726, 14, 393, 4899, 31, 204, 268, 320, 204, 268, 1426, 6379, 2164, 348, 4240, 19, 204, 204, 268, 475, 31, 204, 305, 4899, 31, 332, 22646, 458, 302, 4240, 4932, 560, 2851, 329, 18783, 1870, 19, 204, 268, 320, 204, 268, 314, 763, 275, 18783, 1870, 329, 2851, 588, 497, 275, 824, 424, 204, 268, 18783, 68, 2201, 289, 824, 19, 481, 19, 505, 611, 2201, 534, 204, 268, 2851, 68, 417, 289, 824, 19, 481, 19, 505, 611, 3924, 534, 204, 822, 268, 314, 4863, 4240, 1609, 523, 275, 18783, 1870, 329, 2851, 588, 204, 268, 4240, 289, 370, 806, 2741, 68, 7577, 13, 29684, 68, 2201, 17, 2851, 68, 417, 14, 204, 822, 268, 314, 828, 275, 18783, 1870, 353, 2872, 17, 407, 437, 908, 958, 204, 268, 397, 4240, 353, 443, 31, 204, 305, 407, 4899, 6758, 718, 597, 379, 1962, 18783, 1870, 7984, 1714, 34, 1835, 19, 6654, 68, 6386, 68, 18933, 68, 14411, 14, 204, 822, 268, 314, 763, 275, 1472, 542, 497, 275, 1484, 2072, 204, 268, 1472, 68, 1190, 289, 824, 19, 5016, 19, 505, 611, 2225, 68, 1625, 491, 443, 14, 204, 822, 268, 314, 43042, 275, 4240, 1609, 523, 275, 1917, 1472, 542, 204, 268, 407, 370, 806, 45919, 68, 7577, 13, 7577, 17, 1472, 68, 1190, 14, 204, 204, 264, 436, 906, 2741, 68, 7577, 13, 327, 17, 18783, 68, 2201, 31, 394, 17, 2851, 68, 417, 31, 394, 14, 393, 726, 31, 204, 268, 320, 204, 268, 4863, 4240, 1609, 523, 275, 18783, 1870, 329, 2851, 588, 19, 204, 204, 268, 457, 31, 204, 305, 18783, 68, 2201, 322, 325, 330, 334, 18783, 1870, 311, 2081, 560, 19, 204, 305, 2851, 68, 417, 322, 325, 330, 334, 2851, 588, 311, 2081, 560, 19, 204, 204, 268, 475, 31, 204, 305, 726, 31, 334, 4932, 4240, 19, 204, 268, 320, 204, 268, 314, 4863, 4240, 1609, 523, 275, 18783, 1870, 329, 2851, 588, 204, 268, 397, 18783, 68, 2201, 564, 379, 1676, 23, 597, 204, 305, 397, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2851, 68, 417, 564, 379, 668, 597, 204, 485, 407, 9582, 19, 2856, 19, 668, 1528, 1115, 68, 1424, 6905, 834, 534, 204, 305, 902, 31, 204, 485, 407, 9582, 19, 2856, 19, 2741, 13, 1676, 23, 34, 3924, 68, 417, 789, 1115, 68, 1424, 6905, 834, 534, 204, 268, 1677, 18783, 68, 2201, 564, 379, 1676, 24, 597, 204, 305, 407, 9582, 19, 2856, 19, 2741, 13, 1676, 24, 34, 3924, 68, 417, 789, 1115, 68, 1424, 6905, 834, 534, 204, 268, 902, 31, 204, 305, 314, 828, 275, 18783, 1870, 353, 2872, 17, 407, 443, 204, 305, 407, 443, 204, 204, 264, 436, 906, 45919, 68, 7577, 13, 327, 17, 4240, 31, 726, 17, 1472, 68, 1190, 31, 394, 14, 393, 4899, 31, 204, 268, 320, 204, 268, 43042, 4240, 1609, 523, 275, 1917, 1472, 542, 19, 204, 204, 268, 457, 31, 204, 305, 4240, 322, 1386, 330, 334, 4240, 311, 31935, 19, 204, 305, 1472, 68, 1190, 322, 325, 330, 334, 1472, 542, 311, 31935, 560, 19, 204, 204, 268, 475, 31, 204, 305, 4899, 31, 334, 22646, 4240, 19, 204, 268, 320, 204, 268, 314, 828, 275, 1472, 542, 353, 1917, 17, 31935, 275, 4240, 204, 268, 397, 1472, 68, 1190, 353, 508, 443, 31, 204, 305, 1472, 68, 1190, 289, 421, 13, 2225, 68, 1190, 14, 338, 368, 204, 305, 4240, 289, 4240, 64, 2225, 68, 1190, 15, 1909, 24082, 2225, 68, 1190, 16, 22, 8787, 1909, 66, 204, 268, 902, 31, 204, 305, 314, 828, 275, 1472, 542, 353, 508, 1917, 17, 407, 275, 1043, 720, 4240, 204, 305, 4240, 289, 4240, 2022, 26, 66, 204, 822, 268, 314, 16454, 275, 4240, 204, 268, 6317, 289, 9582, 5449, 13, 7577, 17, 1910, 34, 1021, 14, 204, 822, 268, 314, 455, 275, 22646, 4240, 204, 268, 407, 4899, 13, 9692, 19, 481, 14, 204, 0, 22534, 460, 17164, 20071, 2773, 12836, 4134, 1951, 44947, 24430, 5928, 22009, 1773, 3049, 990, 7407, 25707, 4302, 259, 12431, 1001, 204, 1951, 44947, 24430, 5928, 22009, 1773, 3049, 990, 7407, 25707, 4302, 259, 12431, 37220, 38848, 404, 1407, 651, 78, 38286, 10412, 28642, 25, 2903, 2314, 2544, 15244, 40059, 14281, 7407, 25707, 4302, 259, 12431, 1001, 13164, 6796, 1638, 1951, 44947, 4302, 259, 12431, 22534, 32293, 13491, 408, 33699, 2353, 19, 28, 38230, 408, 2014, 10493, 23136, 31196, 4515, 5784, 9980, 568, 6385, 1689, 7340, 20621, 22009, 6841, 10220, 7407, 25707, 4302, 259, 12431, 1001, 2499, 4660, 7221, 30409, 25722, 4294, 5552, 13261, 725, 41589, 460, 17164, 38232, 26266, 725, 21887, 29097, 14965, 6463, 1227, 20356, 39138, 725, 10451, 2338, 28368, 22534, 12164, 13261, 408, 2499, 1189, 11167, 3733, 921, 22432, 2860, 4499, 17341, 5718, 408, 11860, 33168, 24986, 10844, 2065, 28570, 2339, 107, 33372, 568, 204, 990, 7407, 25707, 4302, 259, 12431, 1001, 1254, 1951, 44947, 460, 990, 38232, 7342, 1001, 1189, 4587, 9884, 3602, 408, 3571, 7764, 16904, 8167, 4179, 18264, 11408, 16309, 2677, 50, 865, 267, 13543, 21477, 2653, 4587, 32048, 408, 15588, 22015, 1773, 2499, 17164, 38232, 2065, 7221, 32636, 460, 24986, 10844, 2065, 25722, 13261, 6543, 35852, 1984, 2499, 19109, 31630, 1189, 4741, 7421, 460, 40334, 26266, 10400, 29475, 16484, 1227, 11928, 4427, 108, 40395, 5031, 1638, 6841, 13491, 408, 3359, 2815, 14965, 6463, 1227, 20356, 34013, 15341, 4574, 5335, 5579, 408, 3675, 11167, 3733, 19511, 1281, 100, 7251, 38232, 6010, 5584, 1191, 7893, 7566, 24072, 460, 24986, 25722, 10844, 568, 204, 2253, 28642, 8131, 1565, 1191, 35829, 2065, 6445, 5284, 14794, 7407, 4276, 38232, 408, 5385, 15313, 990, 7407, 25707, 4302, 259, 12431, 1001, 460, 11247, 9980, 408, 8695, 17168, 40323, 2704, 5958, 15444, 17576, 2704, 725, 9938, 10269, 115, 15385, 17103, 5958, 14253, 2455, 15385, 17103, 1227, 10603, 24038, 12030, 19406, 18543, 10884, 14965, 4294, 5552, 13261, 408, 17168, 38232, 725, 1490, 6553, 4788, 3031, 2065, 21701, 408, 25408, 7402, 7617, 12660, 2433, 5295, 1427, 113, 11308, 1116, 408, 22346, 23286, 8794, 1524, 7893, 8330, 2253, 12547, 568, 204, 10380, 21887, 1764, 14965, 6463, 39138, 1227, 20356, 34013, 2499, 35520, 40059, 408, 8695, 20356, 34013, 27731, 2188, 12899, 5727, 2682, 10, 36075, 854, 5840, 2148, 1899, 21948, 4302, 259, 12431, 22534, 408, 8695, 7782, 29097, 5840, 2148, 9398, 1951, 44947, 460, 43654, 34602, 6463, 725, 1764, 34151, 3393, 20959, 12397, 44947, 921, 1773, 6463, 1955, 408, 1189, 11167, 3733, 1776, 11860, 24072, 12644, 24986, 1227, 20356, 5768, 568, 12506, 129, 12506, 246, 921, 29475, 16484, 6564, 14947, 4788, 3031, 4268, 2414, 23204, 1227, 20356, 34013, 408, 21224, 9754, 2065, 12094, 460, 4771, 6543, 3411, 22784, 408, 12523, 5881, 5584, 460, 41370, 24986, 10844, 568, 204, 4484, 9884, 7296, 1432, 13049, 2677, 53, 779, 17536, 2653, 921, 13440, 44951, 37874, 460, 22395, 19233, 3293, 11095, 5201, 2499, 1899, 21948, 990, 7407, 25707, 4302, 259, 12431, 6681, 6463, 1189, 1951, 44947, 12523, 460, 53, 779, 17536, 4146, 7712, 2815, 8494, 5349, 7649, 1227, 9855, 7649, 1955, 45185, 12966, 408, 2499, 8626, 3152, 11007, 5873, 5873, 460, 12660, 1565, 40815, 2065, 34540, 3058, 11618, 6463, 33556, 51, 5700, 1886, 19560, 11341, 37874, 39206, 7388, 19865, 6463, 4268, 3984, 5201, 408, 11746, 25552, 21054, 11618, 25722, 29307, 408, 11007, 2778, 19511, 990, 7407, 25707, 4302, 259, 12431, 1001, 5201, 3733, 2366, 7413, 45185, 57, 2961, 103, 3058, 1951, 44947, 921, 1773, 2791, 3640, 5928, 6463, 51, 1678, 594, 5385, 19560, 990, 7407, 25707, 4302, 259, 12431, 1001, 17639, 32603, 990, 51, 1678, 594, 44760, 323, 1001, 460, 24430, 6463, 19582, 408, 12523, 21082, 5201, 2065, 26741, 6364, 32876, 460, 10844, 9560, 3058, 2253, 1254, 4587, 4484, 26509, 43853, 2065, 33894, 1846, 2253, 10968, 22838, 15764, 10928, 8428, 35466, 39138, 26092, 365, 365, 408, 27241, 12523, 28368, 1254, 990, 7407, 25707, 4302, 259, 12431, 1001, 1189, 9884, 41484, 4907, 2093, 7720, 19784, 3708, 408, 1189, 11007, 31820, 8028, 3401, 14965, 460, 33894, 1846, 1398, 4660, 8376, 5768, 2065, 40815, 568, 204, 921, 20356, 5949, 408, 5253, 41933, 12232, 26085, 4872, 1442, 2541, 825, 27241, 22828, 41368, 1951, 44947, 568, 11007, 921, 22534, 15699, 20937, 921, 7764, 47238, 5201, 4348, 8494, 408, 7566, 1262, 28570, 3058, 2253, 7566, 17288, 7764, 12397, 44947, 38387, 6463, 24013, 5196, 44436, 2677, 57, 15227, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3300, 270, 10412, 27241, 37874, 10218, 5840, 1764, 19582, 5201, 57, 15227, 15725, 9257, 408, 2034, 3357, 921, 49102, 1191, 12523, 27843, 20356, 10844, 408, 1189, 11007, 1776, 11860, 27082, 460, 7282, 46790, 41370, 568, 46363, 19689, 11167, 1951, 44947, 460, 27730, 408, 831, 43388, 5651, 1367, 10844, 43635, 7342, 38232, 568, 0, 1449, 1814, 1168, 10061, 3881, 322, 80, 39, 14, 311, 469, 1073, 1156, 94, 1921, 322, 62, 78, 39, 659, 572, 732, 275, 5818, 2089, 31, 204, 204, 62, 78, 39, 289, 724, 39, 610, 3861, 802, 10696, 67, 29, 204, 204, 11142, 31, 204, 18, 368, 10061, 11403, 322, 80, 39, 14, 353, 1936, 311, 3861, 3154, 204, 18, 368, 469, 1073, 1156, 94, 356, 322, 62, 78, 39, 14, 353, 1936, 311, 10696, 67, 29, 3154, 204, 204, 6702, 368, 31, 2208, 10061, 3881, 311, 3154, 204, 28, 724, 39, 289, 1168, 610, 3861, 289, 45651, 3154, 204, 204, 6702, 435, 31, 2208, 3154, 311, 469, 1073, 1156, 94, 1921, 204, 62, 78, 39, 289, 45651, 802, 10696, 67, 29, 204, 34, 45651, 802, 322, 12958, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 14, 204, 34, 45651, 802, 7219, 7946, 47055, 28421, 34235, 4734, 37373, 46205, 32683, 204, 34, 45651, 610, 500, 19, 15307, 23587, 29, 4343, 2132, 7788, 1258, 4656, 2188, 4343, 5645, 4553, 204, 34, 500, 19, 15307, 3145, 8369, 3276, 31276, 4023, 47471, 26730, 4462, 2500, 1358, 78, 39, 204, 204, 4356, 17, 1168, 10061, 3881, 353, 1936, 311, 500, 19, 15307, 3145, 8369, 3276, 31276, 4023, 47471, 26730, 4462, 2500, 469, 1073, 1156, 94, 1921, 19, 716, 204, 7108, 31, 334, 722, 353, 16522, 2258, 311, 2846, 4048, 4738, 19, 716, 204, 11892, 17, 872, 618, 732, 275, 2631, 6057, 2089, 311, 1814, 497, 10061, 3881, 311, 469, 1073, 1156, 94, 1921, 31, 204, 34, 62, 1073, 1156, 94, 356, 289, 332, 23, 540, 500, 19, 15307, 23587, 29, 4343, 2132, 7788, 1258, 4656, 2188, 4343, 5645, 4553, 204, 11142, 332, 23, 353, 275, 2092, 1174, 275, 700, 292, 10061, 3881, 19, 0, 647, 1804, 204, 531, 1907, 19, 21530, 532, 18039, 204, 204, 8, 968, 273, 3683, 348, 717, 4801, 204, 676, 2991, 18015, 18104, 13, 18104, 330, 204, 264, 320, 204, 264, 15718, 1330, 273, 717, 4801, 353, 1966, 19, 204, 204, 264, 457, 31, 204, 268, 2851, 322, 325, 330, 334, 2851, 302, 275, 4801, 19, 204, 268, 1489, 322, 2664, 19, 672, 330, 334, 1489, 302, 275, 4801, 19, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 264, 320, 204, 264, 9530, 68, 1038, 289, 3134, 3924, 528, 388, 672, 528, 388, 9931, 1339, 204, 204, 8, 968, 273, 3683, 348, 8143, 4801, 204, 676, 6117, 18015, 18104, 13, 18104, 330, 204, 264, 320, 204, 264, 15718, 1330, 437, 4801, 353, 8143, 19, 204, 204, 264, 457, 31, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 264, 320, 204, 264, 9530, 68, 1038, 289, 3134, 9931, 1339, 204, 204, 8, 1165, 1265, 31, 204, 461, 4801, 68, 5903, 68, 4075, 13, 9931, 17, 2851, 31, 394, 17, 1489, 31, 1804, 19, 672, 14, 393, 443, 31, 204, 264, 320, 204, 264, 33439, 741, 348, 275, 717, 4801, 3683, 19, 204, 204, 264, 457, 31, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 268, 2851, 322, 325, 330, 334, 2851, 302, 275, 4801, 19, 204, 268, 1489, 322, 2664, 19, 672, 330, 334, 1489, 302, 275, 4801, 19, 204, 264, 320, 204, 264, 314, 1426, 275, 717, 4801, 3683, 204, 264, 456, 13, 75, 7, 6001, 4801, 1966, 31, 463, 3924, 98, 523, 463, 672, 743, 204, 204, 461, 4801, 68, 16677, 68, 4075, 13, 9931, 14, 393, 443, 31, 204, 264, 320, 204, 264, 33439, 741, 348, 275, 8143, 4801, 3683, 19, 204, 204, 264, 457, 31, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 264, 320, 204, 264, 314, 1426, 275, 8143, 4801, 3683, 204, 264, 456, 499, 18015, 8143, 431, 204, 204, 8, 6370, 275, 4713, 3263, 311, 275, 8432, 204, 1957, 68, 9360, 68, 6073, 289, 2991, 18015, 18104, 374, 204, 2756, 68, 9360, 68, 6073, 289, 6117, 18015, 18104, 374, 204, 204, 1957, 68, 9360, 68, 6073, 19, 2933, 13, 9360, 68, 5903, 68, 4075, 14, 204, 2756, 68, 9360, 68, 6073, 19, 2933, 13, 9360, 68, 16677, 68, 4075, 14, 204, 204, 8, 1165, 1265, 31, 204, 676, 17188, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2851, 31, 394, 17, 1489, 31, 1804, 19, 672, 14, 393, 443, 31, 204, 268, 370, 19, 3924, 289, 2851, 204, 268, 370, 19, 672, 289, 1489, 204, 204, 264, 436, 838, 13, 327, 14, 393, 443, 31, 204, 268, 314, 2878, 275, 717, 4801, 3683, 204, 268, 717, 68, 9360, 68, 6073, 19, 3345, 13, 9931, 34, 327, 17, 2851, 34, 327, 19, 3924, 17, 1489, 34, 327, 19, 672, 14, 204, 204, 264, 436, 4032, 13, 327, 14, 393, 443, 31, 204, 268, 314, 2878, 275, 8143, 4801, 3683, 204, 268, 4032, 68, 9360, 68, 6073, 19, 3345, 13, 9931, 34, 327, 14, 204, 204, 8, 666, 437, 4801, 329, 2566, 275, 8432, 204, 9360, 289, 17188, 499, 5063, 8953, 528, 1804, 19, 672, 19, 10388, 1447, 204, 9360, 19, 1510, 374, 204, 9360, 19, 2756, 374, 204, 0, 461, 949, 68, 11591, 68, 522, 68, 7434, 68, 5518, 68, 14816, 13, 8586, 22, 31, 458, 64, 339, 648, 7093, 23, 31, 458, 64, 339, 694, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 6716, 302, 970, 2282, 6946, 19, 204, 204, 264, 457, 31, 204, 268, 7093, 22, 322, 655, 64, 339, 1037, 334, 1043, 2282, 1348, 19, 204, 268, 7093, 23, 322, 655, 64, 339, 1037, 334, 1350, 2282, 1348, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 6716, 302, 275, 970, 6946, 19, 204, 264, 320, 204, 264, 314, 1426, 3428, 2910, 1273, 1051, 521, 1855, 6946, 529, 1392, 204, 264, 397, 508, 7093, 22, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 2731, 329, 3885, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 2731, 329, 3885, 497, 275, 575, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 542, 302, 2731, 329, 3885, 31, 6165, 1590, 1447, 204, 264, 407, 771, 68, 3076, 17, 771, 68, 5729, 204, 204, 461, 1151, 68, 1944, 68, 5729, 13, 920, 68, 5729, 31, 421, 17, 771, 68, 3076, 31, 421, 14, 393, 783, 64, 1218, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 275, 3885, 497, 275, 575, 329, 2584, 437, 7576, 458, 2355, 302, 275, 1582, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 5729, 322, 339, 330, 334, 542, 302, 3885, 292, 275, 1582, 19, 204, 268, 771, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 292, 275, 1582, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1218, 64, 339, 2440, 1346, 7576, 458, 2355, 302, 275, 1582, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1582, 204, 264, 1582, 289, 26302, 348, 906, 292, 933, 13, 920, 68, 3076, 2395, 204, 615, 264, 314, 1606, 275, 3885, 497, 275, 575, 329, 16836, 275, 1582, 204, 264, 348, 906, 292, 933, 13, 920, 68, 5729, 330, 204, 268, 944, 22, 17, 944, 23, 289, 2304, 13, 339, 17, 537, 13, 75, 7, 2101, 3428, 463, 45343, 22, 98, 322, 1241, 22, 944, 23, 330, 6165, 1590, 1447, 204, 268, 314, 14312, 944, 3265, 311, 500, 18, 6070, 204, 268, 1582, 64, 1241, 22, 18, 22, 1664, 1223, 13, 1241, 23, 18, 22, 14, 204, 615, 264, 407, 1582, 204, 204, 461, 1151, 68, 1530, 68, 409, 68, 3076, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4143, 275, 1012, 329, 1136, 2731, 497, 275, 575, 329, 2584, 1475, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1012, 329, 1136, 2731, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 1012, 329, 1136, 2731, 497, 275, 575, 204, 264, 1012, 17, 1136, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 1012, 329, 1136, 2731, 31, 6165, 1590, 1447, 204, 264, 314, 14312, 944, 3265, 311, 500, 18, 6070, 204, 264, 407, 1012, 18, 22, 17, 1136, 18, 22, 204, 204, 461, 8468, 68, 3174, 13, 1944, 31, 783, 64, 1218, 64, 339, 4395, 1012, 31, 421, 17, 1136, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 9715, 273, 15715, 18, 2922, 1813, 9164, 302, 275, 1582, 329, 2584, 275, 8468, 1759, 497, 275, 1012, 944, 311, 275, 1136, 944, 19, 204, 204, 264, 457, 31, 204, 268, 1582, 322, 1218, 64, 1218, 64, 339, 3795, 1346, 7576, 458, 2355, 302, 275, 1582, 19, 204, 268, 1012, 322, 339, 330, 334, 1012, 944, 19, 204, 268, 1136, 322, 339, 330, 334, 1136, 944, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 8468, 1759, 497, 275, 1012, 944, 311, 275, 1136, 944, 19, 204, 264, 320, 204, 264, 314, 977, 273, 2769, 348, 19040, 17, 1174, 275, 1012, 944, 329, 1163, 1759, 204, 264, 2769, 289, 7826, 19748, 1530, 17, 500, 7971, 204, 615, 264, 314, 977, 273, 4371, 758, 311, 3550, 3234, 302, 4371, 2731, 204, 264, 4371, 289, 758, 374, 204, 615, 264, 314, 977, 273, 5324, 955, 311, 1640, 275, 8468, 1759, 311, 848, 944, 204, 264, 5324, 289, 463, 1241, 31, 818, 611, 3643, 534, 348, 944, 292, 933, 13, 1796, 13, 1944, 39403, 204, 264, 5324, 64, 1530, 66, 289, 500, 204, 615, 264, 1335, 2769, 31, 204, 268, 314, 29276, 275, 1682, 944, 329, 1163, 1759, 204, 268, 944, 17, 1759, 289, 2769, 19, 17387, 374, 204, 822, 268, 314, 828, 275, 944, 353, 275, 1136, 944, 17, 407, 1163, 1759, 204, 268, 397, 944, 564, 1136, 31, 204, 305, 407, 1759, 204, 822, 268, 314, 5979, 275, 944, 448, 4371, 204, 268, 4371, 19, 826, 13, 1241, 14, 204, 822, 268, 314, 34236, 830, 28178, 7343, 302, 275, 944, 204, 268, 348, 6199, 292, 1582, 64, 1241, 744, 204, 305, 397, 6199, 508, 292, 4371, 31, 204, 485, 314, 1716, 275, 1759, 311, 275, 6199, 397, 273, 14276, 832, 353, 1193, 204, 485, 5324, 64, 9431, 66, 289, 1006, 13, 9854, 64, 9431, 648, 1759, 465, 368, 14, 204, 485, 2769, 19, 1223, 1802, 9431, 17, 1759, 465, 368, 602, 204, 615, 264, 314, 828, 1422, 353, 1236, 832, 311, 275, 1136, 944, 17, 407, 338, 22, 204, 264, 407, 338, 22, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 275, 1582, 1483, 17, 16510, 19040, 17, 329, 5538, 275, 8468, 1759, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 1582, 1483, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 289, 1151, 68, 1944, 68, 1270, 374, 204, 264, 1582, 289, 1151, 68, 1944, 68, 5729, 13, 920, 68, 5729, 17, 771, 68, 3076, 14, 204, 264, 1012, 17, 1136, 289, 1151, 68, 1530, 68, 409, 68, 3076, 374, 204, 615, 264, 314, 3055, 19040, 329, 456, 275, 8468, 1759, 204, 264, 722, 289, 8468, 68, 3174, 13, 1944, 17, 1012, 17, 1136, 14, 204, 264, 456, 13, 75, 7, 673, 8468, 1759, 497, 944, 463, 1530, 16, 22, 98, 311, 944, 463, 409, 16, 22, 98, 353, 31, 463, 1300, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 5420, 7861, 275, 379, 10940, 12, 1242, 292, 275, 379, 47389, 12, 329, 379, 6620, 87, 68, 47389, 12, 1094, 204, 633, 2512, 3749, 329, 4247, 1019, 17, 329, 3416, 275, 5991, 1445, 311, 379, 2936, 20, 48985, 1320, 12, 329, 379, 2936, 20, 6620, 87, 68, 48985, 1320, 12, 8866, 19, 204, 315, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 1716, 2021, 1625, 32226, 16119, 1186, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 5307, 275, 379, 10940, 12, 1242, 292, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 379, 47389, 12, 329, 379, 6620, 87, 68, 47389, 12, 1094, 19, 204, 204, 264, 1058, 5420, 6876, 275, 379, 10940, 12, 1242, 311, 444, 3749, 329, 4247, 17, 329, 3416, 275, 5991, 1445, 204, 264, 311, 379, 2936, 20, 48985, 1320, 12, 329, 379, 2936, 20, 6620, 87, 68, 48985, 1320, 12, 8866, 19, 204, 264, 320, 204, 204, 264, 6127, 289, 551, 204, 268, 314, 21618, 523, 275, 3090, 5420, 204, 268, 2448, 74, 68, 4679, 557, 491, 379, 1207, 27, 68, 4881, 68, 8131, 21, 45015, 68, 2051, 29, 2008, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 1716, 275, 379, 10940, 12, 1242, 292, 275, 379, 47389, 12, 570, 204, 268, 6447, 19, 20636, 13, 204, 305, 570, 68, 417, 833, 47389, 491, 204, 305, 588, 833, 10940, 491, 204, 305, 1242, 34, 1618, 19, 12043, 13, 204, 485, 4247, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 4247, 204, 485, 3749, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 3749, 204, 485, 5991, 68, 633, 833, 2936, 20, 48985, 1320, 12, 226, 314, 1359, 275, 5991, 1445, 204, 305, 5334, 204, 268, 5334, 204, 268, 314, 1716, 275, 379, 10940, 12, 1242, 292, 275, 379, 6620, 87, 68, 47389, 12, 570, 204, 268, 6447, 19, 20636, 13, 204, 305, 570, 68, 417, 833, 6620, 87, 68, 47389, 491, 204, 305, 588, 833, 10940, 491, 204, 305, 1242, 34, 1618, 19, 12043, 13, 204, 485, 4247, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 4247, 204, 485, 3749, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 3749, 204, 485, 5991, 68, 633, 833, 2936, 20, 6620, 87, 68, 48985, 1320, 12, 226, 314, 1359, 275, 5991, 1445, 204, 305, 5334, 204, 268, 5334, 204, 264, 2437, 204, 0, 5191, 571, 2317, 15966, 329, 16473, 204, 4167, 18471, 292, 3099, 302, 5194, 353, 273, 10652, 2501, 348, 2459, 311, 2931, 1017, 12750, 5956, 19, 30417, 353, 275, 722, 302, 273, 1561, 508, 5096, 311, 2906, 275, 1137, 19, 828, 1880, 529, 29812, 685, 17, 275, 2323, 8474, 353, 311, 732, 275, 1561, 1250, 9003, 874, 292, 2481, 17, 2842, 1225, 22274, 19, 1058, 353, 348, 2459, 1415, 4030, 275, 1698, 832, 311, 4037, 9695, 353, 311, 810, 22274, 19, 3846, 311, 1698, 810, 22274, 440, 275, 1729, 1561, 17, 974, 275, 1729, 5107, 17, 1698, 11337, 311, 7443, 19, 204, 1449, 1340, 2459, 2906, 275, 1137, 302, 1225, 17, 1017, 1561, 869, 311, 444, 719, 29725, 17, 754, 490, 884, 88, 14359, 348, 2459, 311, 7253, 523, 4141, 437, 14179, 348, 496, 1561, 19, 592, 808, 1322, 17, 572, 884, 272, 7595, 1698, 630, 275, 308, 3677, 1250, 874, 329, 9793, 275, 33453, 11316, 17, 928, 17, 560, 1540, 17, 353, 33453, 490, 1609, 523, 275, 5981, 302, 1017, 850, 7049, 19, 204, 5681, 1017, 8523, 375, 529, 16398, 560, 2086, 2459, 618, 2281, 12356, 2075, 13168, 1519, 311, 444, 12098, 292, 17, 3220, 521, 636, 14119, 302, 19, 10677, 22459, 273, 4153, 7211, 302, 7365, 496, 7894, 2459, 3472, 1182, 6639, 329, 2202, 7443, 2404, 1250, 2379, 1273, 830, 302, 275, 13168, 529, 19, 3433, 874, 273, 2481, 311, 4481, 2589, 2875, 1051, 302, 275, 13168, 496, 1895, 7211, 329, 1895, 732, 302, 426, 4187, 7365, 560, 275, 1682, 2086, 275, 4960, 1120, 3074, 19, 10677, 2106, 3658, 848, 3747, 560, 508, 5701, 311, 2909, 348, 13168, 521, 13896, 37785, 1465, 1273, 1250, 884, 272, 37289, 19, 204, 2920, 311, 2765, 2886, 1214, 1656, 204, 2920, 872, 618, 1340, 448, 273, 2260, 353, 560, 14644, 1214, 1656, 33453, 808, 308, 3677, 440, 275, 5544, 19035, 329, 2909, 1025, 1214, 3346, 7365, 1561, 329, 3020, 1662, 872, 618, 3120, 1429, 302, 275, 11362, 3237, 19, 204, 7374, 275, 34532, 13499, 1212, 6492, 37046, 204, 5009, 884, 358, 2842, 1966, 273, 11676, 348, 1273, 872, 3480, 311, 1307, 292, 1214, 3307, 17, 329, 872, 884, 272, 1425, 1182, 9136, 302, 275, 2327, 11231, 311, 444, 2707, 10998, 82, 2547, 19, 9419, 490, 884, 88, 690, 311, 1020, 273, 2501, 311, 1895, 496, 11676, 2317, 329, 1214, 18828, 12750, 1978, 2317, 13029, 19, 204, 673, 2765, 2501, 311, 25919, 1702, 437, 48347, 353, 311, 838, 273, 1561, 496, 884, 88, 15836, 329, 7784, 311, 4185, 872, 19, 334, 896, 353, 311, 1225, 1043, 523, 275, 1561, 17, 1675, 311, 770, 275, 1225, 19, 334, 18643, 1901, 2459, 1895, 353, 7493, 46096, 292, 329, 8205, 275, 1225, 329, 2900, 8993, 1465, 275, 2765, 2501, 311, 770, 490, 292, 275, 5094, 521, 25583, 273, 2501, 311, 9291, 523, 1913, 302, 830, 1017, 1225, 830, 275, 690, 19, 204, 27398, 273, 1561, 17, 1901, 1880, 33753, 1283, 2545, 10178, 523, 1913, 302, 5337, 322, 4995, 5701, 273, 3106, 4308, 17, 308, 3677, 329, 830, 1017, 1225, 10689, 14, 311, 2545, 8944, 322, 70, 22275, 94, 4308, 17, 20004, 336, 308, 3677, 17, 329, 273, 4542, 4520, 15133, 789, 5424, 273, 1561, 1422, 529, 6430, 311, 444, 2666, 1330, 5337, 636, 566, 16494, 17, 1101, 872, 884, 272, 5096, 311, 2906, 273, 16599, 35081, 2900, 13896, 275, 7443, 19, 332, 4382, 1561, 353, 275, 896, 311, 8205, 2590, 292, 3859, 329, 24764, 1901, 302, 275, 7443, 3610, 440, 2545, 273, 2384, 19, 204, 673, 904, 896, 353, 311, 2909, 630, 4141, 273, 1561, 1273, 275, 20004, 322, 1538, 1763, 31, 1214, 308, 3677, 17, 1214, 7506, 17, 1214, 36897, 17, 1214, 18735, 17, 6623, 6268, 13297, 88, 440, 2075, 872, 1519, 311, 770, 329, 2075, 11237, 311, 11616, 16428, 19, 8278, 884, 88, 437, 1763, 496, 28370, 275, 917, 31, 204, 10215, 292, 12758, 382, 867, 4636, 440, 273, 2384, 1415, 867, 1340, 28862, 940, 39532, 19, 1547, 867, 9402, 1101, 566, 2080, 13168, 20004, 336, 292, 1704, 308, 3677, 497, 275, 7830, 302, 275, 3859, 1324, 17, 329, 1250, 33626, 884, 89, 2842, 275, 850, 38864, 19, 2474, 2080, 2641, 41609, 329, 3299, 17580, 15133, 279, 1777, 3408, 292, 1283, 275, 23252, 329, 292, 275, 5533, 302, 1704, 45846, 19, 7953, 6757, 6183, 490, 867, 1236, 732, 17, 329, 3522, 566, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 867, 5202, 3094, 9695, 17, 1250, 1824, 3850, 9999, 19, 334, 1698, 1844, 867, 496, 566, 867, 2234, 29812, 685, 1169, 834, 566, 2080, 311, 1020, 5805, 329, 275, 1870, 302, 7443, 867, 4145, 311, 636, 311, 3850, 19, 204, 2310, 15575, 630, 2075, 566, 2080, 329, 2075, 566, 867, 9221, 311, 25919, 329, 572, 13503, 496, 566, 1698, 4331, 311, 770, 5544, 5337, 440, 1169, 6285, 302, 4960, 566, 867, 38978, 19, 2474, 2080, 311, 770, 490, 448, 17580, 17, 3638, 490, 1818, 1025, 275, 4799, 17, 3220, 17, 510, 17, 521, 636, 14119, 302, 490, 19, 2416, 34497, 275, 5107, 566, 4331, 311, 3074, 17, 566, 1966, 273, 308, 3677, 440, 5544, 19035, 329, 15993, 848, 4622, 440, 275, 2086, 19, 2474, 3756, 7845, 11084, 3106, 685, 1704, 308, 3677, 830, 630, 5602, 19, 13472, 566, 2249, 1704, 1561, 1225, 348, 273, 3747, 17, 329, 2075, 566, 1193, 867, 496, 566, 867, 16428, 16622, 685, 1704, 45846, 329, 850, 8523, 375, 2404, 566, 2080, 275, 7048, 496, 566, 7051, 11076, 884, 89, 1519, 1910, 302, 275, 13168, 292, 1422, 19, 1547, 867, 273, 7353, 4193, 16194, 17, 329, 2219, 8735, 5287, 322, 416, 2181, 5287, 14, 566, 3848, 1376, 275, 1561, 311, 3550, 523, 1913, 302, 1704, 1225, 19, 204, 673, 4960, 353, 275, 4793, 3821, 19, 334, 872, 353, 275, 3508, 917, 19, 4253, 275, 29816, 329, 5107, 529, 275, 4147, 302, 275, 1561, 19, 204, 4063, 490, 884, 88, 1214, 3638, 311, 838, 1214, 3346, 1561, 19, 334, 1043, 1085, 353, 311, 636, 4199, 523, 2075, 872, 3480, 311, 25919, 19, 5512, 490, 884, 88, 523, 275, 9819, 1085, 302, 4141, 273, 1352, 496, 37180, 28862, 5178, 872, 497, 1214, 4145, 917, 329, 4793, 11231, 311, 1214, 2423, 1351, 322, 15589, 24764, 1901, 302, 275, 22275, 789, 204, 3728, 884, 88, 9003, 4636, 36, 322, 1834, 4658, 872, 4382, 22641, 523, 2075, 872, 618, 2270, 523, 6268, 204, 3728, 884, 88, 7845, 9003, 4636, 36, 322, 1834, 4658, 872, 4382, 22641, 523, 275, 9901, 872, 1519, 6268, 204, 22197, 16361, 31, 4347, 275, 917, 872, 874, 311, 1895, 275, 6646, 311, 770, 5805, 440, 275, 4793, 7186, 322, 286, 1120, 11430, 275, 5568, 302, 9901, 872, 1519, 14, 204, 16938, 981, 31, 37888, 2075, 872, 874, 311, 770, 440, 8523, 375, 17, 11466, 17, 19035, 17, 903, 27259, 521, 18000, 872, 1519, 311, 34497, 275, 2086, 872, 1519, 311, 3074, 19, 0, 676, 4534, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 22934, 4201, 458, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 700, 31, 1169, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 944, 440, 273, 800, 700, 19, 204, 822, 268, 457, 31, 204, 305, 700, 322, 1933, 330, 334, 700, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 876, 289, 700, 204, 268, 370, 19, 2715, 289, 443, 204, 204, 676, 387, 17177, 25671, 31, 204, 264, 320, 5272, 273, 22934, 4201, 458, 1279, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 1392, 22934, 4201, 458, 19, 204, 268, 320, 204, 268, 370, 19, 1885, 289, 443, 204, 268, 370, 19, 3809, 289, 443, 204, 268, 370, 19, 835, 289, 500, 204, 204, 264, 436, 881, 68, 1885, 13, 327, 17, 944, 31, 4534, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 944, 311, 275, 1526, 302, 275, 458, 19, 204, 822, 268, 457, 31, 204, 305, 944, 322, 2533, 330, 334, 944, 311, 881, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 758, 275, 1526, 329, 10239, 311, 275, 717, 944, 204, 268, 397, 370, 19, 1885, 353, 443, 31, 204, 305, 370, 19, 1885, 289, 944, 204, 305, 370, 19, 3809, 289, 944, 204, 268, 314, 9444, 17, 881, 275, 717, 944, 311, 275, 1526, 302, 275, 458, 204, 268, 902, 31, 204, 305, 944, 19, 2715, 289, 370, 19, 1885, 204, 305, 370, 19, 1885, 289, 944, 204, 268, 370, 19, 835, 1412, 368, 204, 204, 264, 436, 881, 68, 3809, 13, 327, 17, 944, 31, 4534, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 944, 311, 275, 10239, 302, 275, 458, 19, 204, 822, 268, 457, 31, 204, 305, 944, 322, 2533, 330, 334, 944, 311, 881, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 758, 275, 1526, 329, 10239, 311, 275, 717, 944, 204, 268, 397, 370, 19, 3809, 353, 443, 31, 204, 305, 370, 19, 1885, 289, 944, 204, 305, 370, 19, 3809, 289, 944, 204, 268, 314, 9444, 17, 881, 275, 717, 944, 311, 275, 10239, 302, 275, 458, 204, 268, 902, 31, 204, 305, 370, 19, 3809, 19, 2715, 289, 944, 204, 305, 370, 19, 3809, 289, 944, 204, 268, 370, 19, 835, 1412, 368, 204, 204, 264, 436, 3142, 68, 1885, 13, 327, 14, 393, 4534, 31, 204, 268, 320, 204, 268, 8847, 275, 944, 630, 275, 1526, 302, 275, 458, 19, 204, 822, 268, 475, 31, 204, 305, 4534, 31, 334, 5748, 944, 17, 521, 443, 397, 275, 458, 353, 1392, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 407, 443, 204, 268, 397, 370, 19, 1885, 353, 443, 31, 204, 305, 407, 443, 204, 268, 314, 9444, 17, 3142, 275, 944, 630, 275, 1526, 302, 275, 458, 204, 268, 902, 31, 204, 305, 5748, 68, 1241, 289, 370, 19, 1885, 204, 305, 370, 19, 1885, 289, 370, 19, 1885, 19, 2715, 204, 305, 314, 828, 275, 458, 353, 3303, 1392, 17, 758, 275, 10239, 311, 443, 204, 305, 397, 370, 19, 1885, 353, 443, 31, 204, 485, 370, 19, 3809, 289, 443, 204, 305, 370, 19, 835, 4922, 368, 204, 305, 407, 5748, 68, 1241, 204, 204, 264, 436, 3142, 68, 3809, 13, 327, 14, 393, 4534, 31, 204, 268, 320, 204, 268, 8847, 275, 944, 630, 275, 10239, 302, 275, 458, 19, 204, 822, 268, 475, 31, 204, 305, 4534, 31, 334, 5748, 944, 17, 521, 443, 397, 275, 458, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 353, 1392, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 407, 443, 204, 268, 397, 370, 19, 3809, 353, 443, 31, 204, 305, 407, 443, 204, 268, 314, 9444, 17, 3142, 275, 944, 630, 275, 10239, 302, 275, 458, 204, 268, 902, 31, 204, 305, 314, 828, 275, 458, 1698, 869, 1051, 944, 17, 3142, 275, 1526, 329, 10239, 204, 305, 397, 370, 19, 1885, 564, 370, 19, 3809, 31, 204, 485, 5748, 68, 1241, 289, 370, 19, 1885, 204, 485, 370, 19, 1885, 289, 443, 204, 485, 370, 19, 3809, 289, 443, 204, 305, 314, 9444, 17, 1020, 275, 1350, 18, 633, 18, 2391, 944, 329, 3142, 275, 10239, 204, 305, 902, 31, 204, 485, 790, 289, 370, 19, 1885, 204, 485, 1335, 790, 19, 2715, 2167, 370, 19, 3809, 31, 204, 895, 790, 289, 790, 19, 2715, 204, 485, 5748, 68, 1241, 289, 370, 19, 3809, 204, 485, 790, 19, 2715, 289, 443, 204, 485, 370, 19, 3809, 289, 790, 204, 305, 370, 19, 835, 4922, 368, 204, 305, 407, 5748, 68, 1241, 204, 204, 264, 436, 456, 68, 655, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 4201, 458, 19, 204, 268, 320, 204, 268, 790, 289, 370, 19, 1885, 204, 268, 1335, 790, 353, 508, 443, 31, 204, 305, 456, 13, 1976, 19, 876, 17, 1136, 1022, 2810, 204, 305, 790, 289, 790, 19, 2715, 204, 268, 456, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 717, 22934, 4201, 458, 204, 264, 4201, 68, 655, 289, 387, 17177, 25671, 374, 204, 615, 264, 314, 1255, 2731, 311, 275, 458, 204, 264, 348, 296, 292, 933, 13, 22, 17, 931, 330, 204, 268, 4201, 68, 655, 19, 826, 68, 1885, 13, 2533, 13, 78, 602, 204, 615, 264, 314, 1198, 275, 4201, 458, 204, 264, 456, 499, 32194, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 615, 264, 314, 1255, 273, 717, 944, 311, 275, 1526, 302, 275, 458, 204, 264, 4201, 68, 655, 19, 826, 68, 1885, 13, 2533, 499, 81, 365, 84, 3687, 204, 615, 264, 314, 1198, 275, 2908, 4201, 458, 204, 264, 456, 499, 10510, 23767, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 615, 264, 314, 3182, 275, 944, 630, 275, 1526, 302, 275, 458, 204, 264, 5748, 68, 1241, 289, 4201, 68, 655, 19, 3956, 68, 1885, 374, 204, 264, 456, 499, 36032, 4534, 2180, 5748, 68, 1241, 19, 876, 397, 5748, 68, 1241, 902, 443, 14, 204, 615, 264, 314, 1198, 275, 2908, 4201, 458, 204, 264, 456, 499, 10510, 23767, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 615, 264, 314, 3182, 275, 944, 630, 275, 10239, 302, 275, 458, 204, 264, 5748, 68, 1241, 289, 4201, 68, 655, 19, 3956, 68, 3809, 374, 204, 264, 456, 499, 36032, 4534, 2180, 5748, 68, 1241, 19, 876, 397, 5748, 68, 1241, 902, 443, 14, 204, 615, 264, 314, 1198, 275, 2908, 4201, 458, 204, 264, 456, 499, 10510, 23767, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 14225, 275, 800, 2231, 31, 716, 204, 8515, 1209, 11775, 22, 18, 23, 1134, 23, 2422, 24, 14040, 1003, 98, 338, 688, 1209, 96, 23, 2422, 26, 9844, 18, 22, 13, 29, 14040, 22, 7836, 204, 204, 6702, 368, 31, 8730, 275, 7145, 329, 5081, 302, 848, 4628, 19, 204, 204, 8515, 1209, 11775, 24, 36711, 27, 16, 1003, 98, 338, 688, 1209, 11775, 1003, 36711, 29, 16, 22, 7836, 204, 204, 6702, 435, 31, 14207, 5620, 275, 18604, 19, 204, 204, 8515, 1209, 11775, 24, 1134, 25, 98, 338, 688, 1209, 11775, 1003, 36711, 28, 7836, 204, 204, 6702, 571, 31, 8730, 275, 1350, 4628, 560, 8631, 273, 2917, 560, 273, 2917, 17, 928, 1563, 292, 273, 2140, 19, 204, 204, 8515, 1209, 11775, 24, 1134, 25, 98, 338, 688, 1209, 96, 1003, 1134, 28, 7836, 204, 204, 6702, 681, 31, 1752, 273, 2323, 5081, 348, 275, 970, 6249, 19, 334, 3406, 2323, 3536, 302, 681, 329, 1168, 353, 4662, 19, 204, 204, 8515, 1209, 11775, 24, 688, 2760, 1168, 1134, 25, 688, 2760, 1168, 98, 338, 688, 1209, 96, 1003, 688, 2760, 681, 1134, 28, 688, 2760, 681, 7836, 204, 204, 8515, 1209, 11775, 3699, 1134, 4023, 98, 338, 688, 1209, 96, 2169, 1134, 4023, 7836, 204, 204, 6702, 720, 31, 9587, 275, 6249, 19, 204, 204, 8515, 1209, 11775, 3699, 338, 2846, 1134, 4023, 7836, 204, 204, 8515, 1209, 11775, 10128, 1134, 4023, 7836, 204, 204, 6702, 887, 31, 2208, 275, 20254, 4628, 311, 273, 9493, 542, 19, 204, 204, 3266, 18, 23, 65, 1209, 96, 26, 1134, 4023, 7836, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 11775, 23, 65, 1209, 96, 26, 1134, 4023, 10512, 0, 531, 1498, 532, 1061, 17, 1884, 204, 647, 47955, 448, 406, 204, 204, 461, 2037, 68, 14188, 68, 12420, 68, 12144, 13, 204, 264, 1112, 31, 421, 17, 716, 264, 1184, 68, 644, 31, 394, 17, 716, 264, 1184, 31, 1061, 17, 716, 264, 1012, 68, 438, 31, 421, 17, 716, 264, 7582, 68, 932, 31, 394, 289, 379, 39752, 491, 716, 264, 717, 31, 1109, 289, 1078, 17, 716, 264, 5025, 31, 1109, 289, 959, 17, 716, 264, 2296, 5417, 31, 1109, 289, 1078, 204, 14, 393, 1884, 64, 2107, 17, 394, 17, 1061, 744, 204, 264, 320, 204, 264, 10616, 437, 7582, 12070, 8320, 292, 16303, 13981, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1112, 322, 339, 330, 334, 1112, 302, 275, 7582, 1184, 19, 204, 264, 338, 1184, 68, 644, 322, 325, 330, 334, 896, 302, 275, 7582, 1184, 19, 204, 264, 338, 1184, 322, 1665, 330, 334, 7582, 1184, 424, 19, 204, 264, 338, 1012, 68, 438, 322, 339, 330, 334, 1012, 2523, 302, 275, 7582, 1184, 19, 204, 264, 338, 7582, 68, 932, 322, 325, 17, 1448, 330, 334, 1187, 302, 7582, 322, 2305, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 379, 39752, 3930, 204, 264, 338, 717, 322, 2107, 17, 1448, 330, 2266, 275, 7582, 1184, 353, 717, 322, 2305, 31, 1078, 789, 204, 264, 338, 5025, 322, 2107, 17, 1448, 330, 2266, 311, 2255, 5025, 322, 2305, 31, 959, 789, 204, 264, 338, 2296, 5417, 322, 2107, 17, 1448, 330, 2266, 311, 2296, 5417, 275, 7582, 322, 2305, 31, 1078, 789, 204, 204, 264, 475, 31, 204, 264, 338, 1884, 64, 2107, 17, 394, 17, 1061, 744, 332, 927, 1174, 273, 8051, 5850, 1978, 17, 275, 588, 302, 275, 7582, 1184, 17, 329, 275, 2908, 7582, 1184, 424, 19, 204, 264, 320, 204, 204, 264, 314, 968, 3454, 348, 11192, 886, 204, 264, 8719, 68, 10310, 61, 68, 9572, 289, 500, 19, 1511, 204, 264, 8438, 68, 10310, 61, 68, 9572, 289, 368, 19, 21, 204, 204, 264, 314, 666, 273, 717, 7582, 1184, 955, 204, 264, 717, 68, 1271, 289, 2552, 3949, 597, 500, 19, 21, 98, 204, 204, 264, 314, 3740, 275, 7582, 1800, 204, 264, 9455, 68, 998, 289, 1112, 465, 368, 204, 264, 7582, 68, 1676, 17, 1824, 17, 1629, 289, 406, 19, 3786, 1802, 22, 17, 435, 17, 435, 602, 204, 264, 7582, 68, 1676, 19, 17133, 13, 75, 1954, 14188, 68, 932, 98, 14153, 31981, 12751, 68, 998, 743, 204, 204, 264, 314, 763, 275, 588, 302, 275, 7582, 1184, 204, 264, 1068, 68, 1676, 289, 379, 2687, 12, 204, 264, 397, 717, 31, 204, 268, 1068, 68, 1676, 1412, 379, 322, 28773, 1185, 12386, 23465, 15795, 204, 264, 588, 289, 1824, 19, 492, 68, 768, 13, 204, 268, 1068, 68, 1676, 17, 716, 268, 700, 34, 1271, 68, 644, 17, 716, 268, 896, 34, 75, 4705, 14188, 68, 932, 6803, 417, 1859, 998, 2867, 204, 264, 1179, 204, 204, 264, 314, 763, 275, 1690, 302, 275, 7582, 1184, 204, 264, 1690, 289, 1629, 19, 1190, 68, 768, 13, 204, 268, 283, 12, 21305, 491, 716, 268, 700, 34, 1271, 736, 3949, 2043, 716, 268, 896, 34, 75, 4705, 14188, 68, 932, 6803, 3949, 1859, 998, 2867, 204, 264, 1179, 204, 264, 717, 68, 1271, 736, 3949, 839, 289, 1690, 204, 204, 264, 314, 3740, 2914, 348, 5025, 17, 1136, 2523, 17, 329, 21872, 204, 264, 2914, 289, 406, 19, 3786, 13, 25, 14, 204, 264, 1682, 68, 6772, 68, 6182, 289, 500, 204, 264, 397, 5025, 31, 204, 268, 2255, 68, 10924, 289, 2914, 64, 2715, 68, 6772, 68, 6182, 1664, 26355, 13, 204, 305, 283, 12, 27845, 22919, 716, 305, 700, 21383, 10924, 12, 292, 1184, 659, 716, 305, 896, 34, 75, 4705, 14188, 68, 932, 6803, 10203, 68, 10924, 1859, 998, 2867, 204, 268, 1179, 204, 268, 1682, 68, 6772, 68, 6182, 1412, 368, 204, 268, 397, 2255, 68, 10924, 31, 204, 305, 1540, 68, 10924, 289, 1184, 19, 505, 611, 10924, 491, 8719, 68, 10310, 61, 68, 9572, 14, 204, 305, 717, 68, 1271, 736, 10924, 839, 289, 2914, 64, 2715, 68, 6772, 68, 6182, 1664, 20290, 13, 204, 485, 283, 12, 27845, 12430, 491, 716, 485, 700, 34, 2305, 68, 10924, 540, 1607, 17, 716, 485, 1006, 68, 876, 34, 21, 19, 21, 17, 716, 485, 846, 68, 876, 34, 5605, 68, 10310, 61, 68, 9572, 540, 1607, 17, 716, 485, 1660, 34, 22, 19, 21, 17, 716, 485, 896, 34, 75, 4705, 14188, 68, 932, 6803, 10924, 68, 1949, 1859, 998, 2867, 204, 305, 1179, 802, 1607, 19, 21, 204, 204, 264, 314, 3168, 322, 5243, 302, 275, 1576, 6786, 275, 1729, 14, 204, 204, 264, 407, 959, 17, 588, 17, 717, 68, 1271, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1184, 289, 2552, 3949, 597, 3861, 19, 21, 17, 379, 10924, 597, 500, 19, 1511, 98, 204, 264, 1978, 17, 588, 17, 717, 68, 1271, 289, 2037, 68, 14188, 68, 12420, 68, 12144, 13, 21, 17, 379, 1271, 22, 491, 1184, 17, 2019, 14, 204, 264, 456, 13, 75, 7, 14734, 31, 463, 5937, 1522, 4014, 31, 463, 417, 1522, 2991, 9342, 31, 463, 1957, 68, 1271, 743, 204, 0, 647, 2010, 448, 645, 204, 647, 1127, 204, 647, 6032, 448, 1774, 204, 647, 8729, 204, 531, 4378, 532, 29087, 448, 1513, 204, 531, 10271, 532, 3207, 204, 531, 8775, 532, 1800, 68, 1608, 68, 3978, 204, 531, 8775, 532, 17574, 68, 2918, 448, 2015, 68, 3978, 204, 647, 690, 204, 204, 461, 1137, 68, 809, 13, 546, 68, 633, 68, 23710, 31, 394, 14, 393, 1774, 19, 5963, 31, 204, 264, 320, 204, 264, 1385, 273, 17657, 12105, 1582, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 832, 68, 633, 68, 23710, 322, 325, 330, 2621, 311, 275, 7974, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1774, 19, 5963, 31, 9387, 12105, 1582, 19, 204, 264, 320, 204, 264, 7151, 68, 1944, 289, 1774, 19, 5963, 374, 204, 264, 440, 7151, 68, 1944, 19, 402, 68, 2305, 1293, 204, 268, 18057, 68, 1944, 68, 461, 289, 1774, 19, 5963, 7146, 374, 204, 268, 440, 1774, 19, 76, 553, 19, 44, 2597, 13, 546, 68, 633, 68, 23710, 17, 379, 6952, 534, 448, 44131, 31, 204, 305, 11948, 68, 1944, 289, 44131, 19, 976, 374, 204, 305, 18057, 68, 1944, 68, 461, 19, 19353, 7374, 4269, 13, 15148, 68, 1944, 14, 204, 305, 1774, 19, 647, 68, 1944, 68, 461, 13, 478, 68, 1944, 68, 461, 17, 588, 11456, 204, 264, 407, 7151, 68, 1944, 204, 204, 461, 1137, 68, 1676, 68, 1608, 13, 546, 68, 633, 68, 2185, 31, 394, 17, 771, 68, 3191, 31, 421, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 273, 1800, 2304, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 832, 68, 633, 68, 2185, 322, 325, 330, 2621, 311, 275, 1800, 2304, 510, 19, 204, 268, 771, 68, 3191, 322, 339, 330, 3239, 302, 4364, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 8953, 1112, 955, 19, 204, 264, 320, 204, 264, 1800, 68, 1608, 289, 1800, 68, 1608, 68, 3978, 19, 986, 68, 1676, 1608, 13, 546, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 633, 68, 2185, 14, 204, 264, 5981, 289, 1800, 68, 1608, 68, 3978, 19, 6470, 68, 1676, 68, 1608, 68, 633, 68, 7983, 13, 1676, 68, 1608, 17, 846, 68, 920, 68, 3191, 34, 920, 68, 3191, 17, 732, 68, 2994, 68, 417, 34, 1021, 14, 204, 264, 2851, 68, 998, 289, 1800, 68, 1608, 68, 3978, 19, 1510, 68, 3924, 68, 998, 13, 7983, 14, 204, 264, 407, 2851, 68, 998, 204, 204, 461, 1137, 68, 935, 68, 10247, 68, 5770, 68, 643, 13, 935, 31, 3207, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 10271, 3207, 726, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 2355, 302, 275, 752, 19, 204, 264, 320, 204, 264, 322, 449, 68, 2435, 17, 2904, 68, 2757, 14, 289, 752, 19, 835, 204, 264, 407, 645, 19, 643, 13, 935, 19, 505, 481, 13725, 6358, 1802, 449, 68, 2757, 17, 2904, 68, 2435, 17, 571, 8093, 7532, 13, 1123, 19, 9283, 29, 14, 204, 204, 461, 4522, 68, 2856, 13, 12355, 68, 1944, 31, 1774, 19, 5963, 17, 752, 68, 546, 31, 394, 17, 2851, 68, 998, 31, 1135, 14, 393, 818, 31, 204, 264, 320, 204, 264, 9557, 2828, 292, 437, 752, 974, 273, 678, 18, 7245, 570, 19, 204, 204, 264, 457, 31, 204, 268, 7151, 68, 1944, 322, 2987, 19, 5963, 330, 9387, 12105, 1582, 19, 204, 268, 752, 68, 546, 322, 325, 330, 2621, 311, 275, 752, 510, 19, 204, 268, 2851, 68, 998, 322, 873, 330, 8953, 1112, 955, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 39425, 690, 292, 3331, 19, 204, 264, 320, 204, 264, 314, 763, 10013, 497, 275, 1582, 204, 264, 440, 7151, 68, 1944, 19, 402, 68, 2305, 1293, 204, 268, 752, 68, 3116, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 935, 68, 3116, 31, 21, 534, 204, 268, 7151, 68, 7040, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 7040, 31, 21, 534, 204, 268, 7151, 68, 4319, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 4319, 31, 21, 534, 204, 268, 7151, 68, 3191, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 3191, 31, 21, 534, 204, 268, 771, 68, 24381, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 920, 68, 24381, 31, 21, 534, 204, 204, 264, 314, 1385, 752, 329, 1814, 311, 2010, 1348, 204, 264, 752, 289, 3207, 19, 3664, 13, 935, 68, 546, 14, 204, 264, 752, 68, 1123, 289, 1137, 68, 935, 68, 10247, 68, 5770, 68, 643, 13, 935, 14, 204, 264, 752, 68, 1123, 68, 32423, 289, 645, 19, 11185, 68, 10840, 13, 935, 68, 1123, 17, 3138, 34, 21, 14, 204, 204, 264, 314, 666, 273, 2067, 329, 1523, 275, 7151, 204, 264, 440, 1774, 19, 5191, 13, 1944, 34, 12355, 68, 1944, 14, 448, 9897, 31, 204, 268, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 268, 322, 7040, 17, 3703, 17, 4364, 17, 771, 14, 289, 9897, 19, 1777, 13, 204, 305, 551, 12355, 68, 7040, 17, 7151, 68, 4319, 17, 7151, 68, 3191, 17, 771, 68, 24381, 648, 204, 305, 4182, 68, 873, 2508, 935, 68, 3116, 31, 752, 68, 1123, 68, 32423, 98, 204, 268, 1179, 204, 268, 318, 15743, 68, 834, 289, 690, 19, 834, 374, 338, 1012, 68, 834, 204, 204, 268, 314, 12626, 275, 19078, 204, 268, 2015, 68, 3978, 19, 34627, 68, 7040, 68, 416, 68, 2185, 68, 271, 68, 935, 68, 643, 13, 204, 305, 752, 68, 1123, 17, 204, 305, 645, 19, 16916, 13, 7040, 659, 204, 305, 645, 19, 16916, 13, 3191, 789, 7532, 13, 1123, 19, 339, 2177, 659, 204, 305, 645, 19, 16916, 13, 4319, 659, 204, 305, 2851, 68, 998, 17, 204, 305, 732, 68, 13651, 68, 5099, 34, 1021, 17, 204, 305, 1007, 68, 22208, 34, 24, 14, 204, 204, 268, 314, 3025, 275, 919, 752, 204, 268, 919, 68, 546, 289, 1127, 19, 546, 19, 1541, 611, 2826, 491, 1127, 19, 546, 19, 11498, 13, 935, 68, 546, 602, 204, 268, 1513, 19, 449, 2360, 13, 1420, 68, 546, 17, 752, 68, 1123, 14, 204, 204, 268, 407, 318, 15743, 68, 834, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 6408, 204, 264, 832, 68, 633, 68, 23710, 289, 379, 546, 68, 633, 68, 23710, 12, 204, 264, 832, 68, 633, 68, 2185, 289, 379, 546, 68, 633, 68, 2185, 12, 204, 264, 771, 68, 3191, 289, 4950, 204, 264, 832, 68, 633, 68, 804, 68, 2936, 68, 1217, 289, 379, 546, 68, 633, 68, 804, 68, 2936, 68, 1217, 12, 204, 204, 264, 314, 1385, 570, 329, 1800, 2304, 204, 264, 7151, 68, 1944, 289, 1137, 68, 809, 13, 546, 68, 633, 68, 23710, 14, 204, 264, 2851, 68, 998, 289, 1137, 68, 1676, 68, 1608, 13, 546, 68, 633, 68, 2185, 17, 771, 68, 3191, 14, 204, 204, 264, 314, 763, 683, 752, 3630, 204, 264, 683, 68, 935, 68, 3880, 289, 8729, 19, 10944, 13, 865, 19, 546, 19, 1541, 13, 546, 68, 633, 68, 804, 68, 2936, 68, 1217, 17, 33840, 5684, 3063, 204, 204, 264, 314, 2466, 726, 7151, 523, 848, 752, 204, 264, 12849, 68, 2760, 289, 1306, 204, 264, 348, 752, 68, 546, 292, 683, 68, 935, 68, 3880, 31, 204, 268, 12849, 68, 834, 289, 4522, 68, 2856, 13, 12355, 68, 1944, 17, 752, 68, 546, 17, 2851, 68, 998, 14, 204, 268, 12849, 68, 2760, 19, 1223, 13, 20361, 68, 834, 14, 204, 204, 264, 314, 1198, 1563, 204, 264, 456, 499, 3103, 13179, 348, 848, 2023, 289, 14761, 2478, 13, 20361, 68, 2760, 602, 204, 264, 456, 499, 20900, 302, 2907, 353, 2087, 3331, 20, 1669, 2948, 2478, 13, 1123, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3037, 13, 20361, 68, 2760, 64, 22, 5853, 3694, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 658, 44457, 302, 273, 8639, 11036, 204, 204, 38, 7032, 348, 273, 2450, 2817, 686, 59, 9, 353, 273, 16034, 758, 302, 5302, 496, 26644, 686, 59, 2176, 6703, 4089, 6235, 17, 490, 353, 273, 758, 302, 5302, 496, 353, 22071, 6403, 329, 26644, 686, 59, 2176, 204, 204, 1449, 1356, 397, 273, 758, 302, 5302, 4840, 273, 7032, 17, 572, 1519, 311, 6767, 970, 4042, 31, 204, 204, 22, 19, 930, 6446, 27994, 1416, 334, 758, 302, 5302, 353, 22071, 6403, 17, 5268, 496, 11077, 302, 275, 5302, 618, 444, 8286, 448, 273, 3542, 5660, 302, 275, 5261, 19, 204, 23, 19, 930, 26963, 1240, 1416, 334, 758, 302, 5302, 26644, 686, 59, 2543, 5268, 496, 2589, 2450, 292, 686, 59, 9, 618, 444, 8286, 448, 273, 3542, 5660, 302, 275, 5302, 292, 275, 758, 19, 204, 204, 1380, 9134, 204, 204, 22, 19, 592, 1743, 8711, 96, 55, 8611, 24, 2543, 275, 758, 1743, 1735, 65, 3164, 6411, 96, 11265, 98, 368, 4727, 21, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 22, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 21, 4727, 22, 65, 409, 96, 11265, 2277, 1633, 24935, 353, 273, 7032, 2404, 490, 353, 22071, 6403, 329, 26644, 1743, 8711, 96, 55, 8611, 24, 2176, 204, 23, 19, 334, 758, 25626, 93, 67, 23, 17, 610, 17, 368, 24935, 353, 273, 7032, 348, 275, 2450, 2817, 302, 15866, 292, 686, 93, 9, 440, 2318, 5692, 5701, 5746, 630, 1901, 686, 23, 2176, 204, 204, 658, 22198, 302, 273, 8639, 11036, 204, 204, 673, 5117, 302, 273, 2450, 2817, 686, 59, 2543, 13772, 560, 1743, 2230, 13, 59, 9852, 353, 275, 542, 302, 5302, 292, 273, 7032, 348, 686, 59, 2176, 12320, 7032, 348, 686, 59, 9, 869, 275, 1729, 542, 302, 5302, 19, 204, 204, 15, 334, 5117, 302, 1743, 8711, 96, 55, 8611, 83, 9, 353, 686, 83, 2176, 204, 15, 334, 5117, 302, 275, 2450, 2817, 302, 15866, 292, 686, 93, 9, 440, 2318, 5692, 5701, 5746, 630, 1901, 686, 23, 9, 353, 686, 24, 2176, 204, 15, 332, 2450, 2817, 496, 9995, 302, 1698, 275, 2962, 2450, 869, 5117, 686, 21, 2176, 204, 204, 658, 30414, 204, 204, 22, 19, 930, 39, 13450, 348, 1743, 8711, 96, 43, 8611, 25, 9, 1416, 332, 7032, 348, 1743, 8711, 96, 43, 8611, 25, 9, 353, 1743, 1735, 65, 3164, 6411, 96, 11265, 98, 368, 4727, 21, 4727, 21, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 22, 4727, 21, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 21, 4727, 22, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 21, 4727, 21, 4727, 22, 65, 409, 96, 11265, 2277, 1633, 36411, 204, 23, 19, 930, 39, 13450, 348, 1743, 8711, 96, 55, 5609, 23, 65, 2760, 435, 1617, 1416, 332, 7032, 348, 1743, 8711, 96, 55, 5609, 23, 65, 2760, 435, 1617, 353, 1743, 1735, 65, 3164, 6411, 96, 11265, 98, 368, 11, 21, 4727, 21, 11, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 11, 22, 4727, 21, 11, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 11, 21, 4727, 22, 11, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 11, 21, 4727, 21, 11, 22, 65, 409, 96, 11265, 2277, 1633, 36411, 204, 24, 19, 930, 25641, 302, 275, 2450, 2817, 302, 15866, 292, 686, 93, 9, 440, 2318, 5692, 5701, 5746, 630, 1901, 686, 24, 9, 1416, 334, 5117, 353, 686, 25, 2543, 440, 273, 7032, 800, 560, 25626, 93, 67, 24, 17, 610, 67, 23, 17, 610, 17, 368, 36411, 0, 647, 24394, 43959, 204, 647, 1127, 204, 647, 304, 204, 647, 9688, 204, 647, 4845, 204, 647, 2454, 204, 647, 15481, 204, 647, 30537, 204, 647, 7124, 19, 1443, 204, 204, 461, 353, 68, 5207, 24, 374, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 790, 4847, 2585, 353, 571, 521, 5092, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 790, 4847, 2585, 353, 571, 521, 5092, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 407, 2454, 19, 2256, 68, 1270, 19, 11393, 564, 571, 204, 204, 461, 3106, 68, 398, 13, 14231, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8414, 719, 275, 6610, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 6610, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6610, 1445, 19, 204, 264, 320, 204, 264, 314, 3182, 275, 6610, 1445, 397, 490, 2560, 204, 264, 397, 1127, 19, 546, 19, 16249, 13, 14231, 68, 546, 330, 204, 268, 9688, 19, 23304, 13, 14231, 68, 546, 14, 204, 204, 461, 2811, 68, 13258, 68, 12024, 13, 13258, 68, 12024, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3055, 11008, 3731, 19, 204, 204, 264, 457, 31, 204, 268, 11008, 68, 12024, 322, 655, 330, 332, 458, 302, 11008, 3731, 311, 2811, 19, 204, 264, 320, 204, 264, 314, 666, 273, 6610, 1445, 204, 264, 6610, 68, 546, 289, 15481, 19, 10751, 73, 3294, 374, 204, 615, 264, 314, 666, 273, 11008, 510, 204, 264, 1235, 68, 2029, 289, 1127, 19, 546, 19, 1541, 13, 14231, 68, 546, 17, 388, 13258, 68, 12024, 19, 2141, 431, 204, 615, 264, 314, 3400, 11008, 3731, 311, 275, 510, 204, 264, 440, 1451, 13, 2141, 68, 2029, 17, 388, 92, 431, 448, 1235, 553, 31, 204, 268, 1235, 553, 19, 2206, 499, 10184, 34572, 30446, 12815, 720, 19, 473, 65, 83, 431, 204, 822, 268, 348, 2652, 292, 11008, 68, 12024, 31, 204, 305, 1235, 553, 19, 2206, 13, 75, 1954, 3573, 736, 644, 24743, 83, 96, 3573, 736, 876, 24743, 83, 65, 83, 431, 204, 615, 264, 314, 4390, 275, 11008, 510, 204, 264, 1352, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 4845, 19, 20033, 13, 75, 7, 2141, 532, 463, 2141, 68, 2029, 743, 204, 264, 1352, 19, 34616, 374, 204, 615, 264, 314, 778, 397, 275, 532, 867, 2707, 204, 264, 397, 1352, 19, 25220, 2167, 500, 31, 204, 268, 980, 1319, 499, 3504, 311, 2811, 11008, 2557, 5397, 204, 204, 461, 16485, 68, 647, 68, 48161, 68, 1538, 68, 26063, 374, 393, 443, 31, 204, 264, 320, 204, 264, 20786, 275, 532, 33095, 348, 18273, 19, 204, 264, 320, 204, 264, 314, 968, 275, 3630, 311, 275, 6545, 1087, 19, 11092, 329, 813, 15513, 19, 9948, 1860, 204, 264, 832, 68, 633, 68, 4881, 1087, 68, 11092, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 4969, 1166, 8346, 2375, 2869, 388, 17094, 18273, 528, 388, 18510, 528, 388, 38385, 528, 388, 4881, 1087, 19, 11092, 431, 204, 264, 832, 68, 633, 68, 703, 15513, 68, 9948, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 4969, 1166, 8346, 2375, 2869, 388, 17094, 18273, 528, 388, 703, 15513, 19, 9948, 431, 204, 615, 264, 314, 968, 275, 4578, 302, 275, 6545, 1087, 19, 11092, 329, 813, 15513, 19, 9948, 1860, 204, 264, 6545, 1087, 68, 11092, 289, 320, 204, 264, 3166, 2334, 3777, 19, 11757, 10447, 1963, 38618, 19, 703, 15513, 19, 4563, 20, 278, 18, 3322, 20, 19827, 20, 2101, 13075, 68, 21981, 348, 1182, 3986, 19, 204, 264, 45310, 499, 17246, 19, 1087, 19, 2029, 528, 388, 703, 15513, 19, 9948, 27340, 204, 264, 45310, 499, 17246, 19, 1087, 19, 1073, 721, 562, 68, 876, 528, 500, 5224, 204, 264, 320, 204, 615, 264, 813, 15513, 68, 9948, 289, 320, 204, 264, 3166, 20786, 1255, 18, 2527, 30656, 9101, 204, 264, 4199, 53, 3484, 499, 13753, 19, 2391, 3543, 11223, 27340, 204, 204, 264, 3166, 12647, 2964, 2248, 379, 24846, 1214, 7705, 12, 523, 1043, 1523, 204, 264, 45310, 499, 6964, 19, 40400, 19, 24, 19, 823, 938, 528, 3597, 5224, 204, 204, 264, 3166, 12647, 2964, 2248, 44040, 6001, 523, 1043, 1523, 1877, 2589, 1395, 204, 264, 45310, 499, 6964, 19, 37322, 19, 30535, 68, 24422, 19, 82, 9787, 19287, 12286, 27340, 204, 204, 264, 3166, 20786, 1540, 5214, 1356, 204, 264, 45310, 499, 6964, 19, 14436, 19, 2555, 13313, 26876, 528, 7463, 5224, 204, 204, 264, 3166, 12647, 2964, 4566, 311, 6348, 275, 23469, 7677, 204, 264, 45310, 499, 16652, 19, 20822, 14344, 43, 12089, 528, 7463, 5224, 204, 204, 264, 3166, 6648, 578, 7677, 9101, 204, 264, 7373, 53, 3484, 499, 16652, 19, 25209, 68, 1270, 3520, 68, 1538, 68, 607, 32785, 68, 11202, 528, 3597, 5224, 204, 264, 4199, 53, 3484, 499, 16652, 19, 2045, 19, 805, 27340, 204, 204, 264, 3166, 20786, 830, 424, 5991, 322, 29733, 8573, 329, 472, 24928, 14, 204, 264, 7373, 53, 3484, 499, 481, 38201, 19, 7641, 19, 481, 34011, 27964, 528, 7463, 5224, 204, 204, 264, 3166, 20786, 22631, 26702, 204, 264, 7373, 53, 3484, 499, 9747, 14132, 19, 46206, 38166, 19, 10782, 528, 7463, 5224, 204, 264, 35727, 19, 3191, 1166, 37, 703, 15513, 19, 4563, 20, 9747, 14132, 20, 46206, 18, 38166, 32, 22, 6925, 505, 5619, 13, 4654, 19940, 19, 19773, 19, 853, 3225, 321, 823, 43215, 789, 10414, 11443, 88, 289, 7463, 32, 204, 264, 320, 204, 615, 264, 314, 3400, 275, 4578, 311, 275, 1860, 204, 264, 440, 1451, 13, 546, 68, 633, 68, 4881, 1087, 68, 11092, 17, 388, 92, 431, 448, 6545, 1087, 31, 204, 268, 6545, 1087, 19, 2206, 13, 492, 15290, 19, 42636, 13, 4881, 1087, 68, 11092, 602, 204, 822, 264, 440, 1451, 13, 546, 68, 633, 68, 703, 15513, 68, 9948, 17, 388, 92, 431, 448, 813, 15513, 31, 204, 268, 813, 15513, 19, 2206, 13, 492, 15290, 19, 42636, 13, 703, 15513, 68, 9948, 602, 204, 204, 461, 3686, 68, 26063, 68, 7237, 68, 805, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4491, 275, 18273, 4065, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 18273, 4065, 1274, 19, 204, 264, 320, 204, 264, 1779, 289, 388, 3189, 1963, 4537, 19, 703, 15513, 19, 4563, 20, 278, 18, 3322, 20, 26063, 20, 668, 11291, 204, 264, 2679, 289, 388, 3189, 1963, 7237, 9371, 865, 34, 5450, 2562, 9371, 12084, 34, 1497, 18, 1599, 7, 204, 615, 264, 810, 31, 204, 268, 314, 4491, 275, 2966, 1666, 302, 275, 1472, 204, 268, 424, 289, 7124, 19, 1443, 19, 21526, 13, 805, 789, 976, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 463, 805, 2829, 463, 74, 743, 204, 615, 264, 314, 12210, 275, 424, 397, 3600, 204, 264, 397, 353, 68, 5207, 24, 1293, 204, 268, 424, 289, 424, 19, 5286, 499, 3102, 18, 29, 431, 204, 615, 264, 314, 6994, 348, 275, 4065, 1977, 204, 264, 2216, 289, 304, 19, 1803, 13, 4745, 17, 424, 14, 204, 264, 397, 508, 2216, 31, 204, 268, 980, 1319, 499, 3504, 311, 22848, 275, 4065, 1977, 348, 18273, 5397, 204, 615, 264, 407, 2216, 19, 2207, 13, 21, 14, 204, 204, 461, 3686, 68, 1241, 11092, 68, 7237, 68, 805, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4491, 275, 4534, 19, 11092, 4065, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4534, 19, 11092, 4065, 1274, 19, 204, 264, 320, 204, 264, 1779, 289, 388, 3189, 1963, 1241, 11092, 19, 4563, 20, 5249, 20, 12142, 18, 11891, 271, 7, 204, 264, 2679, 289, 28525, 1241, 18, 91, 19, 4406, 93, 2562, 19, 1015, 78, 13287, 12, 204, 615, 264, 810, 31, 204, 268, 314, 4491, 275, 2966, 1666, 302, 275, 1472, 204, 268, 424, 289, 7124, 19, 1443, 19, 21526, 13, 805, 789, 976, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 463, 805, 2829, 463, 74, 743, 204, 615, 264, 314, 12210, 275, 424, 397, 3600, 204, 264, 397, 353, 68, 5207, 24, 1293, 204, 268, 424, 289, 424, 19, 5286, 499, 3102, 18, 29, 431, 204, 615, 264, 314, 6994, 348, 275, 4065, 1977, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 2216, 289, 304, 19, 1803, 13, 4745, 17, 424, 14, 204, 264, 397, 508, 2216, 31, 204, 268, 980, 1319, 499, 3504, 311, 22848, 275, 4065, 1977, 348, 4534, 31504, 5397, 204, 615, 264, 407, 1779, 465, 34635, 465, 2216, 19, 2207, 13, 22, 14, 204, 204, 461, 3686, 68, 9502, 68, 7237, 68, 805, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4491, 275, 8680, 4065, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 8680, 4065, 1274, 19, 204, 264, 320, 204, 264, 1779, 289, 388, 3189, 1963, 9502, 18, 721, 82, 19, 1453, 20, 7237, 20, 5450, 7, 204, 264, 2679, 289, 388, 3189, 1963, 8750, 19, 1453, 9371, 18463, 19, 4406, 2562, 18, 3395, 19, 14385, 7, 204, 615, 264, 810, 31, 204, 268, 314, 4491, 275, 2966, 1666, 302, 275, 1472, 204, 268, 424, 289, 7124, 19, 1443, 19, 21526, 13, 805, 789, 976, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 463, 805, 2829, 463, 74, 743, 204, 615, 264, 314, 12210, 275, 424, 397, 3600, 204, 264, 397, 353, 68, 5207, 24, 1293, 204, 268, 424, 289, 424, 19, 5286, 499, 3102, 18, 29, 431, 204, 615, 264, 314, 6994, 348, 275, 4065, 1977, 204, 264, 2216, 289, 304, 19, 1803, 13, 4745, 17, 424, 14, 204, 264, 397, 508, 2216, 31, 204, 268, 980, 1319, 499, 3504, 311, 22848, 275, 4065, 1977, 348, 8680, 5397, 204, 615, 264, 407, 2216, 19, 2207, 13, 21, 14, 204, 204, 461, 4065, 68, 553, 13, 805, 31, 394, 17, 2049, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8467, 273, 510, 497, 273, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 4065, 497, 19, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 2106, 275, 510, 448, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 8467, 275, 510, 204, 268, 7124, 19, 1443, 19, 805, 16988, 13, 805, 17, 2049, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 4065, 463, 805, 2829, 463, 74, 743, 204, 204, 461, 6348, 68, 6964, 13, 8346, 31, 394, 17, 2049, 31, 394, 17, 6348, 68, 6052, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 16634, 273, 5214, 19, 204, 204, 264, 457, 31, 204, 268, 2548, 322, 325, 330, 334, 2548, 311, 6348, 19, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 6348, 497, 19, 204, 268, 6348, 68, 6052, 322, 325, 330, 334, 6348, 1906, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2049, 10045, 440, 2617, 1015, 78, 204, 264, 397, 2049, 19, 9641, 11837, 1015, 78, 6471, 204, 268, 456, 499, 53, 38664, 36221, 31, 828, 275, 2631, 15175, 8290, 27425, 17, 9626, 3692, 962, 1933, 896, 35, 311, 1895, 490, 21704, 719, 1280, 204, 268, 2049, 289, 283, 7, 1015, 46729, 979, 19, 14385, 802, 78, 463, 2029, 98, 802, 37031, 7, 204, 615, 264, 314, 16634, 275, 5214, 204, 264, 1352, 289, 4845, 19, 20033, 13, 75, 1954, 2029, 98, 463, 9310, 68, 6052, 743, 204, 264, 1352, 19, 34616, 374, 204, 615, 264, 314, 778, 397, 275, 15175, 867, 2707, 204, 264, 397, 1352, 19, 25220, 2167, 500, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 6348, 463, 8346, 23214, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 6610, 1445, 204, 264, 6610, 68, 546, 289, 15481, 19, 10751, 73, 3294, 374, 204, 615, 264, 314, 6676, 275, 18752, 741, 204, 264, 24394, 43959, 19, 4216, 13, 3605, 31, 3106, 68, 398, 13, 14231, 68, 546, 602, 204, 615, 264, 314, 968, 275, 11008, 3731, 204, 264, 11008, 68, 12024, 289, 551, 204, 268, 314, 1255, 11008, 3731, 3237, 204, 264, 2437, 204, 615, 264, 314, 3055, 275, 11008, 3731, 204, 264, 2811, 68, 13258, 68, 12024, 13, 13258, 68, 12024, 14, 204, 615, 264, 314, 968, 275, 8052, 311, 6348, 204, 264, 8052, 289, 463, 204, 268, 388, 10082, 559, 463, 204, 305, 388, 805, 559, 388, 1942, 1963, 13381, 19, 9888, 19, 1453, 20, 10082, 20, 9310, 20, 12142, 20, 10082, 68, 44408, 19, 14385, 528, 204, 305, 388, 9310, 68, 6052, 559, 6040, 42478, 802, 9310, 7, 204, 268, 4752, 204, 268, 388, 26063, 559, 463, 204, 305, 388, 805, 559, 3686, 68, 26063, 68, 7237, 68, 805, 2144, 204, 305, 388, 9310, 68, 6052, 559, 7031, 1015, 7, 204, 268, 4752, 204, 268, 388, 1241, 11092, 559, 463, 204, 305, 388, 805, 559, 3686, 68, 1241, 11092, 68, 7237, 68, 805, 2144, 204, 305, 388, 9310, 68, 6052, 559, 3026, 204, 268, 4752, 204, 268, 388, 9502, 559, 463, 204, 305, 388, 805, 559, 3686, 68, 9502, 68, 7237, 68, 805, 2144, 204, 305, 388, 9310, 68, 6052, 559, 6040, 1815, 1334, 3316, 802, 4203, 14324, 34, 44960, 27143, 7, 204, 268, 4752, 204, 268, 388, 21206, 5535, 1162, 559, 463, 204, 305, 388, 805, 559, 388, 1942, 1963, 3112, 1538, 340, 19, 26897, 3823, 19, 4563, 20, 76, 20, 6499, 20, 21206, 5535, 1162, 20, 21206, 5535, 1162, 18, 3539, 2890, 20, 22, 19, 24, 19, 1511, 20, 35229, 16060, 1162, 18, 22, 19, 24, 19, 1511, 18, 54, 29, 18, 5450, 2562, 18, 31220, 19, 14385, 528, 204, 305, 388, 9310, 68, 6052, 559, 6040, 1815, 1334, 3316, 802, 4887, 21451, 8346, 2375, 10, 4727, 35229, 16060, 1162, 7, 204, 268, 1211, 204, 264, 1211, 204, 615, 264, 314, 16634, 275, 8052, 204, 264, 348, 2548, 17, 2557, 292, 8052, 19, 1996, 1293, 204, 268, 314, 8467, 275, 43104, 204, 268, 2049, 289, 1127, 19, 546, 19, 1541, 13, 14231, 68, 546, 17, 283, 1954, 8346, 6803, 5666, 431, 204, 268, 4065, 68, 553, 13, 3282, 1166, 805, 2869, 2049, 14, 204, 822, 268, 314, 16634, 275, 2548, 204, 268, 6348, 68, 6964, 13, 8346, 17, 2049, 17, 2557, 1166, 9310, 68, 6052, 3808, 204, 822, 268, 314, 20786, 275, 532, 33095, 348, 18273, 204, 268, 397, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2548, 564, 388, 26063, 559, 204, 305, 16485, 68, 647, 68, 48161, 68, 1538, 68, 26063, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 768, 68, 531, 68, 816, 13, 4202, 31, 394, 289, 11070, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 273, 782, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 1243, 311, 437, 1392, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 537, 782, 497, 275, 575, 19, 204, 264, 320, 204, 264, 407, 537, 13, 4202, 14, 204, 204, 461, 3106, 68, 1031, 13, 88, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8847, 1950, 18, 33557, 2724, 497, 273, 782, 329, 16381, 490, 311, 9236, 19, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5872, 782, 19, 204, 264, 320, 204, 264, 314, 3182, 1950, 18, 33557, 2724, 329, 1814, 311, 9236, 204, 264, 407, 9434, 1541, 13, 72, 19, 3006, 374, 348, 279, 292, 297, 397, 279, 19, 20368, 1447, 204, 204, 461, 353, 68, 11782, 13, 88, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 800, 782, 353, 273, 8877, 17, 24450, 1950, 18, 33557, 2724, 329, 8442, 1698, 275, 40607, 2724, 292, 273, 1322, 18, 20586, 11621, 19, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 782, 353, 273, 8877, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 8414, 275, 782, 204, 264, 5872, 68, 88, 289, 3106, 68, 1031, 13, 88, 14, 204, 264, 314, 778, 397, 275, 5872, 782, 353, 1936, 311, 1163, 4036, 204, 264, 407, 5872, 68, 88, 564, 5872, 68, 88, 12658, 22, 66, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 4143, 275, 542, 302, 683, 2910, 17, 5377, 848, 537, 782, 311, 3020, 397, 490, 677, 273, 8877, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 683, 2910, 204, 264, 771, 68, 804, 68, 3871, 289, 421, 13, 976, 68, 768, 68, 531, 68, 816, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 615, 264, 314, 1861, 1048, 848, 683, 1322, 204, 264, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 268, 314, 1606, 275, 537, 782, 204, 268, 297, 289, 1151, 68, 768, 68, 531, 68, 816, 499, 2101, 273, 782, 31, 2810, 204, 268, 314, 778, 397, 275, 782, 353, 273, 8877, 204, 268, 397, 353, 68, 11782, 13, 88, 330, 204, 305, 456, 499, 12950, 17, 275, 782, 353, 273, 8877, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 3882, 17, 275, 782, 353, 508, 273, 8877, 1280, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 1061, 17, 783, 204, 531, 8632, 532, 8204, 204, 531, 5920, 532, 8909, 204, 531, 8775, 532, 636, 68, 13050, 68, 834, 204, 204, 37, 6611, 204, 676, 14354, 31, 204, 264, 320, 5272, 273, 2023, 1279, 204, 264, 5576, 31, 394, 204, 264, 14334, 31, 818, 204, 264, 4521, 31, 818, 204, 264, 4577, 1949, 31, 818, 204, 204, 676, 12740, 31, 204, 264, 320, 5272, 273, 2769, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 330, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 1920, 289, 1306, 204, 204, 264, 436, 881, 13, 327, 17, 2023, 31, 14354, 330, 204, 268, 320, 25548, 273, 2023, 311, 275, 2769, 1279, 204, 268, 370, 19, 1920, 19, 1223, 13, 1669, 14, 204, 204, 264, 436, 33673, 13, 327, 17, 771, 68, 7022, 31, 421, 330, 204, 268, 320, 21440, 1405, 6710, 497, 275, 2769, 1279, 204, 268, 370, 19, 1920, 289, 370, 19, 1920, 64, 920, 68, 7022, 5853, 204, 204, 264, 436, 18544, 13, 327, 330, 204, 268, 320, 21440, 1405, 830, 6710, 497, 275, 2769, 1279, 204, 268, 370, 19, 1920, 289, 1306, 204, 204, 264, 436, 8959, 13, 327, 17, 3101, 31, 1109, 289, 1078, 14, 393, 394, 31, 204, 268, 320, 6185, 48923, 275, 2769, 1279, 204, 268, 2342, 289, 283, 7, 9860, 463, 327, 19, 417, 2829, 463, 1796, 13, 327, 19, 1920, 4150, 6710, 7, 204, 268, 397, 3101, 31, 204, 305, 2342, 1412, 7805, 83, 2948, 1541, 13, 75, 7, 226, 338, 14354, 463, 78, 2829, 14334, 2508, 1669, 19, 20505, 1522, 4521, 2508, 1669, 19, 5192, 1522, 4577, 1949, 2508, 1669, 19, 3395, 1949, 2495, 348, 296, 17, 2023, 292, 3209, 13, 327, 19, 1920, 602, 204, 268, 407, 2342, 204, 204, 676, 9939, 5070, 31, 204, 264, 320, 5272, 275, 11006, 1279, 204, 264, 8438, 68, 24455, 68, 2956, 289, 368, 68, 1207, 68, 1207, 226, 314, 37256, 1302, 292, 33836, 204, 264, 8719, 68, 4586, 9249, 68, 7043, 289, 368, 204, 204, 264, 436, 589, 924, 889, 327, 17, 27111, 31, 783, 64, 9860, 648, 21136, 31, 421, 17, 10488, 68, 834, 31, 421, 289, 8719, 68, 4586, 9249, 68, 7043, 330, 204, 268, 320, 204, 268, 1865, 275, 11006, 19, 204, 204, 268, 457, 31, 204, 268, 338, 27111, 322, 1218, 64, 9860, 1037, 783, 302, 27111, 19, 204, 268, 338, 21136, 322, 339, 330, 14354, 88, 841, 1350, 19, 204, 268, 338, 10488, 68, 834, 322, 339, 330, 47399, 690, 19, 1243, 311, 368, 19, 204, 268, 320, 204, 268, 370, 19, 32190, 289, 27111, 204, 268, 370, 19, 23183, 289, 21136, 204, 268, 370, 19, 2391, 68, 1011, 68, 2760, 289, 551, 21, 66, 540, 1245, 13, 32190, 14, 226, 314, 3682, 302, 275, 7830, 302, 275, 1673, 2023, 11474, 204, 268, 370, 19, 10768, 68, 1920, 68, 873, 289, 463, 86, 19, 417, 31, 296, 348, 296, 17, 3259, 292, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3209, 13, 32190, 4150, 204, 268, 370, 19, 360, 68, 29662, 289, 551, 1975, 66, 540, 1245, 13, 32190, 14, 204, 268, 370, 19, 20156, 289, 1078, 204, 268, 370, 19, 1530, 68, 1011, 289, 338, 22, 204, 268, 370, 19, 13050, 68, 834, 289, 10488, 68, 834, 204, 268, 370, 19, 505, 68, 834, 289, 636, 68, 13050, 68, 834, 13, 13050, 68, 834, 14, 204, 204, 264, 436, 32271, 13, 327, 17, 3986, 31, 1109, 289, 1078, 17, 771, 68, 7022, 31, 421, 289, 500, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 24173, 275, 6710, 292, 275, 27111, 23691, 1048, 690, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3986, 322, 2107, 330, 828, 959, 17, 1698, 2584, 275, 1301, 84, 42, 2900, 10974, 275, 6710, 19, 1243, 311, 1078, 19, 204, 268, 338, 771, 68, 7022, 322, 339, 330, 3239, 302, 6710, 311, 1370, 19, 1243, 311, 500, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1061, 31, 6881, 18, 4995, 1563, 19, 204, 268, 320, 204, 268, 314, 977, 1563, 955, 204, 268, 1563, 289, 8909, 13, 873, 14, 204, 204, 268, 314, 888, 2023, 13460, 204, 268, 2023, 68, 16027, 289, 368, 802, 370, 19, 23183, 204, 204, 268, 314, 1861, 1048, 848, 2769, 204, 268, 348, 2769, 292, 370, 19, 32190, 31, 204, 305, 314, 977, 2769, 5047, 204, 305, 2480, 68, 1949, 289, 500, 204, 305, 1113, 68, 272, 6437, 299, 68, 834, 289, 500, 204, 305, 1113, 68, 272, 6437, 299, 68, 6316, 289, 500, 204, 305, 1113, 68, 8875, 289, 500, 204, 305, 1113, 68, 7022, 289, 500, 204, 305, 2023, 68, 998, 289, 500, 204, 204, 305, 314, 763, 275, 1673, 1370, 690, 348, 275, 790, 2769, 204, 305, 1673, 68, 1011, 68, 834, 289, 370, 19, 2391, 68, 1011, 68, 2760, 64, 327, 19, 10768, 68, 1920, 68, 873, 64, 1920, 19, 417, 2629, 204, 204, 305, 314, 1861, 1048, 848, 2023, 292, 275, 2769, 204, 305, 348, 2023, 292, 2769, 19, 1920, 31, 204, 485, 314, 888, 304, 6437, 299, 690, 204, 485, 304, 6437, 299, 68, 834, 289, 2023, 19, 20505, 338, 1673, 68, 1011, 68, 834, 204, 204, 485, 314, 778, 348, 304, 6437, 299, 1643, 204, 485, 397, 304, 6437, 299, 68, 834, 1323, 500, 31, 204, 895, 314, 13403, 4533, 311, 275, 7830, 302, 275, 10974, 2023, 204, 895, 1673, 68, 1011, 68, 834, 289, 2023, 19, 20505, 204, 895, 1113, 68, 272, 6437, 299, 68, 834, 1412, 304, 6437, 299, 68, 834, 204, 895, 1113, 68, 272, 6437, 299, 68, 6316, 1412, 368, 204, 204, 485, 314, 1716, 2769, 5047, 204, 485, 1113, 68, 8875, 1412, 1673, 68, 1011, 68, 834, 338, 2023, 19, 5192, 204, 485, 2480, 68, 1949, 1412, 2023, 19, 3395, 1949, 204, 485, 1113, 68, 7022, 1412, 368, 204, 204, 485, 314, 13403, 4533, 311, 275, 1136, 302, 275, 10974, 2023, 204, 485, 1673, 68, 1011, 68, 834, 1412, 2023, 68, 16027, 204, 204, 485, 314, 7415, 2023, 1112, 204, 485, 2023, 68, 998, 1412, 368, 204, 204, 485, 314, 778, 397, 572, 9314, 7486, 275, 6736, 542, 302, 6710, 204, 485, 397, 2023, 68, 998, 564, 771, 68, 7022, 329, 771, 68, 7022, 1323, 500, 31, 204, 895, 2280, 204, 204, 305, 314, 778, 397, 1169, 6710, 1466, 11474, 204, 305, 397, 1113, 68, 7022, 564, 500, 31, 204, 485, 1563, 64, 1920, 19, 417, 66, 289, 500, 204, 485, 3524, 204, 204, 305, 314, 888, 329, 1640, 2769, 5047, 204, 305, 1563, 64, 1920, 19, 417, 66, 289, 463, 204, 485, 388, 2609, 68, 272, 6437, 299, 68, 6316, 559, 1113, 68, 272, 6437, 299, 68, 6316, 17, 204, 485, 388, 2609, 68, 272, 6437, 299, 68, 834, 559, 4672, 13, 2609, 68, 272, 6437, 299, 68, 834, 17, 887, 659, 204, 485, 388, 2609, 68, 8875, 559, 4672, 13, 2609, 68, 8875, 17, 887, 659, 204, 485, 388, 5670, 68, 1949, 559, 2480, 68, 1949, 802, 1113, 68, 7022, 17, 204, 485, 388, 2609, 68, 7022, 559, 1113, 68, 7022, 204, 305, 1211, 204, 204, 305, 314, 778, 397, 572, 1856, 1395, 275, 11006, 1259, 204, 305, 397, 508, 3986, 31, 204, 485, 314, 1716, 275, 1673, 1370, 690, 348, 275, 790, 2769, 204, 485, 370, 19, 2391, 68, 1011, 68, 2760, 64, 327, 19, 10768, 68, 1920, 68, 873, 64, 1920, 19, 417, 2629, 289, 1673, 68, 1011, 68, 834, 204, 204, 485, 314, 29276, 6710, 204, 485, 397, 771, 68, 7022, 1323, 500, 31, 204, 895, 2769, 19, 32250, 13, 1669, 68, 998, 14, 204, 485, 902, 31, 204, 895, 2769, 19, 17208, 374, 204, 204, 268, 407, 1135, 13, 2826, 14, 204, 204, 264, 436, 1012, 13, 327, 17, 11979, 31, 421, 289, 500, 330, 204, 268, 320, 204, 268, 29634, 675, 275, 10974, 1352, 19, 204, 204, 268, 457, 31, 204, 268, 338, 11979, 322, 339, 330, 5730, 299, 690, 19, 1243, 311, 500, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1012, 690, 204, 268, 1012, 68, 834, 289, 370, 19, 505, 68, 834, 374, 465, 11979, 540, 370, 19, 13050, 68, 834, 204, 204, 268, 314, 1716, 275, 1673, 1370, 2666, 329, 1012, 1370, 690, 204, 268, 370, 19, 2391, 68, 1011, 68, 2760, 289, 551, 1530, 68, 834, 66, 540, 1245, 13, 327, 19, 32190, 14, 204, 268, 370, 19, 1530, 68, 1011, 289, 1012, 68, 834, 204, 204, 264, 436, 7137, 13, 327, 17, 6710, 31, 783, 64, 1126, 1037, 204, 268, 320, 204, 268, 39171, 6710, 19, 204, 204, 268, 457, 31, 204, 268, 338, 6710, 322, 1218, 64, 1126, 1037, 783, 302, 6710, 19, 204, 268, 320, 204, 268, 314, 1861, 1048, 848, 2023, 204, 268, 348, 2023, 292, 6710, 31, 204, 305, 314, 763, 275, 2769, 1112, 348, 275, 2023, 677, 5576, 204, 305, 2769, 68, 998, 289, 370, 19, 10768, 68, 1920, 68, 873, 19, 505, 13, 1669, 19, 10768, 14, 204, 204, 305, 314, 778, 397, 275, 2769, 1112, 353, 1097, 204, 305, 397, 2381, 13, 1920, 68, 998, 17, 421, 330, 204, 485, 314, 1255, 275, 2023, 311, 275, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3310, 2769, 204, 485, 370, 19, 32190, 64, 1920, 68, 998, 1664, 826, 13, 1669, 14, 204, 204, 264, 436, 8959, 13, 327, 17, 3101, 31, 1109, 289, 1078, 14, 393, 394, 31, 204, 268, 320, 204, 268, 5285, 48923, 275, 11006, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3101, 322, 2107, 330, 828, 959, 17, 2584, 273, 10660, 2342, 19, 1243, 311, 1078, 19, 204, 204, 268, 475, 31, 204, 268, 338, 394, 31, 12616, 302, 275, 11006, 19, 204, 268, 320, 204, 268, 314, 977, 2342, 204, 268, 2342, 289, 283, 7, 39748, 31, 688, 83, 23183, 289, 463, 327, 19, 23183, 1522, 13460, 289, 463, 22, 802, 370, 19, 23183, 4567, 24, 75, 1522, 1012, 68, 834, 289, 463, 327, 19, 1530, 68, 1011, 4567, 24, 75, 2277, 83, 26627, 680, 29027, 204, 204, 268, 314, 1861, 1048, 848, 2769, 204, 268, 348, 2769, 292, 370, 19, 32190, 31, 204, 305, 314, 5230, 275, 2769, 2342, 311, 275, 11006, 2342, 204, 305, 2342, 1412, 283, 7979, 83, 96, 1920, 19, 24715, 13, 5022, 16678, 204, 204, 268, 407, 2342, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 27111, 204, 264, 2769, 22, 289, 12740, 499, 9860, 368, 431, 204, 264, 2769, 23, 289, 12740, 499, 9860, 435, 431, 204, 204, 264, 314, 666, 6710, 204, 264, 2023, 22, 289, 14354, 499, 9860, 368, 528, 500, 19, 21, 17, 500, 19, 21, 17, 3861, 14, 204, 264, 2023, 23, 289, 14354, 499, 9860, 368, 528, 500, 19, 22, 17, 500, 19, 22, 17, 3861, 14, 204, 264, 2023, 24, 289, 14354, 499, 9860, 435, 528, 500, 19, 21, 17, 500, 19, 21, 17, 3861, 14, 204, 264, 2023, 25, 289, 14354, 499, 9860, 435, 528, 500, 19, 22, 17, 500, 19, 22, 17, 3861, 14, 204, 204, 264, 314, 1255, 6710, 311, 27111, 204, 264, 2769, 22, 19, 826, 13, 1669, 22, 14, 204, 264, 2769, 22, 19, 826, 13, 1669, 23, 14, 204, 264, 2769, 23, 19, 826, 13, 1669, 24, 14, 204, 264, 2769, 23, 19, 826, 13, 1669, 25, 14, 204, 204, 264, 314, 666, 11006, 204, 264, 11006, 289, 9939, 5070, 1568, 1920, 22, 17, 2769, 23, 648, 2468, 14, 204, 204, 264, 314, 4055, 32271, 204, 264, 11006, 19, 1530, 374, 204, 204, 264, 314, 12154, 6710, 204, 264, 11006, 19, 18330, 1568, 1669, 22, 17, 2023, 23, 17, 2023, 24, 17, 2023, 25, 694, 204, 204, 264, 314, 8406, 6710, 204, 264, 1563, 289, 11006, 19, 48262, 374, 204, 204, 264, 314, 1198, 1563, 204, 264, 456, 13, 2826, 14, 204, 204, 264, 314, 22427, 11006, 204, 264, 456, 13, 16380, 19, 24715, 13, 5022, 34, 1021, 602, 204, 0, 647, 1034, 2562, 204, 647, 1875, 204, 647, 690, 204, 647, 12348, 204, 647, 2164, 204, 204, 676, 6547, 1449, 26413, 15750, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 1814, 1068, 311, 7856, 974, 275, 1504, 350, 10492, 78, 1893, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 3923, 68, 805, 1164, 394, 204, 268, 334, 1274, 302, 275, 1504, 350, 10492, 78, 1893, 19, 204, 264, 3923, 68, 644, 1164, 394, 204, 268, 334, 1893, 896, 348, 5888, 19, 204, 264, 740, 68, 359, 1164, 394, 204, 268, 334, 1650, 1222, 348, 5888, 19, 204, 264, 919, 68, 553, 1164, 394, 204, 268, 334, 832, 311, 275, 919, 4466, 510, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3923, 68, 805, 31, 394, 17, 3923, 68, 644, 31, 394, 17, 740, 68, 359, 31, 394, 17, 919, 68, 553, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 6547, 1449, 26413, 15750, 19, 204, 204, 268, 1164, 2394, 3923, 68, 805, 31, 334, 1274, 302, 275, 1504, 350, 10492, 78, 1893, 19, 204, 268, 1164, 2394, 3923, 68, 644, 31, 334, 1893, 896, 348, 5888, 19, 204, 268, 1164, 2394, 740, 68, 359, 31, 334, 1650, 1222, 348, 5888, 19, 204, 268, 1164, 2394, 919, 68, 553, 31, 334, 832, 311, 275, 919, 4466, 510, 19, 204, 268, 320, 204, 268, 370, 19, 2005, 68, 805, 289, 3923, 68, 805, 204, 268, 370, 19, 2005, 68, 644, 289, 3923, 68, 644, 204, 268, 370, 19, 748, 68, 359, 289, 740, 68, 359, 204, 268, 370, 19, 1420, 68, 553, 289, 919, 68, 553, 204, 204, 264, 436, 906, 8596, 68, 6891, 68, 1087, 13, 327, 17, 1068, 31, 394, 17, 10802, 68, 417, 31, 394, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 24197, 275, 4466, 1586, 348, 275, 1893, 824, 19, 204, 204, 268, 1164, 2394, 1068, 31, 334, 1068, 311, 1814, 311, 7856, 19, 204, 268, 1164, 2394, 10802, 68, 417, 31, 334, 588, 302, 275, 10802, 311, 732, 19, 204, 268, 1164, 3309, 31, 332, 955, 1174, 275, 4466, 1586, 19, 204, 268, 320, 204, 268, 314, 968, 275, 4466, 1586, 2072, 204, 268, 954, 289, 463, 204, 305, 388, 2854, 75, 559, 388, 6891, 20, 49, 1845, 32, 1949, 34, 1845, 1207, 528, 226, 314, 16985, 1883, 204, 305, 388, 70, 347, 559, 388, 81, 341, 528, 226, 314, 16985, 4051, 204, 305, 388, 8019, 68, 417, 559, 10802, 68, 417, 17, 226, 314, 31515, 588, 204, 305, 388, 5195, 559, 388, 1719, 528, 226, 314, 25003, 2969, 204, 305, 388, 6811, 559, 388, 6074, 528, 226, 314, 25003, 3351, 204, 305, 388, 21740, 559, 388, 1719, 528, 226, 314, 25003, 14298, 204, 305, 388, 2693, 68, 932, 559, 388, 30187, 739, 7, 226, 314, 11252, 1187, 204, 268, 1211, 204, 268, 407, 954, 204, 204, 264, 436, 906, 4776, 68, 21709, 13, 327, 17, 6941, 68, 71, 2562, 325, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 275, 15442, 348, 275, 1893, 824, 19, 204, 204, 268, 1164, 2394, 6941, 68, 71, 2562, 325, 31, 334, 1034, 2562, 18, 9904, 3918, 782, 19, 204, 268, 1164, 3309, 31, 334, 4489, 15442, 19, 204, 268, 320, 204, 268, 314, 763, 275, 790, 4521, 204, 268, 690, 68, 1520, 289, 394, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 339, 13, 834, 19, 834, 5887, 204, 268, 314, 2069, 275, 15442, 204, 268, 15442, 289, 322, 327, 19, 2005, 68, 644, 465, 690, 68, 1520, 465, 6941, 68, 71, 2562, 325, 789, 4170, 611, 3102, 29, 534, 204, 268, 15442, 68, 7648, 26, 289, 12348, 19, 7648, 26, 13, 21709, 789, 18927, 374, 204, 268, 407, 15442, 68, 7648, 26, 204, 204, 264, 436, 906, 3345, 68, 1443, 13, 327, 17, 1068, 31, 394, 17, 954, 31, 1135, 14, 393, 2164, 19, 2628, 31, 204, 268, 320, 204, 268, 10863, 275, 3426, 824, 311, 275, 1504, 350, 10492, 78, 1893, 19, 204, 204, 268, 1164, 2394, 1068, 31, 334, 1068, 311, 1814, 311, 7856, 19, 204, 268, 1164, 2394, 954, 31, 334, 4466, 1586, 19, 204, 268, 1164, 3309, 31, 334, 958, 497, 275, 1893, 19, 204, 268, 320, 204, 268, 314, 2208, 275, 954, 311, 273, 2084, 782, 204, 268, 6941, 68, 325, 289, 1875, 19, 7362, 13, 1087, 14, 204, 268, 314, 13519, 275, 2084, 782, 311, 17847, 18, 29, 204, 268, 6941, 68, 3102, 29, 289, 6941, 68, 325, 19, 4170, 611, 3102, 29, 534, 204, 268, 314, 3301, 2562, 18, 4170, 275, 17847, 18, 29, 782, 204, 268, 6941, 68, 71, 2562, 289, 1034, 2562, 19, 71, 2562, 4170, 13, 2394, 68, 3102, 29, 14, 204, 268, 314, 12210, 275, 1034, 2562, 3154, 311, 273, 782, 204, 268, 6941, 68, 71, 2562, 325, 289, 6941, 68, 71, 2562, 19, 5286, 611, 3102, 29, 534, 204, 204, 268, 314, 2069, 275, 15442, 204, 268, 15442, 289, 370, 806, 4776, 68, 21709, 13, 2394, 68, 71, 2562, 325, 14, 204, 204, 268, 314, 5128, 275, 1893, 824, 3496, 204, 268, 3496, 289, 463, 204, 305, 388, 61, 18, 3543, 359, 559, 370, 19, 748, 68, 359, 17, 204, 305, 388, 61, 18, 6739, 3103, 559, 394, 13, 339, 13, 834, 19, 834, 47423, 204, 305, 388, 61, 18, 26190, 559, 6941, 68, 71, 2562, 325, 17, 204, 305, 388, 61, 18, 5995, 7279, 559, 15442, 204, 268, 1211, 204, 204, 268, 314, 2878, 275, 1893, 824, 204, 268, 958, 289, 2164, 19, 2288, 13, 327, 19, 2005, 68, 805, 17, 424, 10703, 492, 559, 1068, 1522, 3496, 34, 5093, 14, 204, 268, 407, 958, 204, 204, 264, 436, 1814, 13, 327, 17, 1068, 31, 394, 17, 10802, 68, 417, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 8109, 275, 1068, 311, 7856, 974, 275, 1504, 350, 10492, 78, 1893, 19, 204, 204, 268, 1164, 2394, 1068, 31, 334, 1068, 311, 1814, 311, 7856, 19, 204, 268, 1164, 2394, 10802, 68, 417, 31, 334, 588, 302, 275, 10802, 311, 732, 19, 204, 268, 1164, 3309, 31, 334, 832, 311, 275, 919, 4466, 510, 521, 437, 908, 943, 19, 204, 268, 320, 204, 268, 314, 5128, 275, 4466, 1586, 204, 268, 954, 289, 370, 806, 8596, 68, 6891, 68, 1087, 13, 492, 17, 10802, 68, 417, 14, 204, 268, 314, 2878, 275, 1893, 824, 204, 268, 958, 289, 370, 806, 3345, 68, 1443, 13, 492, 17, 954, 14, 204, 204, 268, 314, 778, 275, 958, 1714, 1576, 204, 268, 397, 958, 19, 1835, 68, 1181, 564, 2031, 31, 204, 305, 314, 778, 275, 958, 1666, 1187, 204, 305, 958, 68, 1885, 289, 958, 19, 5093, 736, 8334, 18, 2191, 839, 204, 305, 397, 958, 68, 1885, 564, 388, 6891, 20, 22174, 559, 204, 485, 314, 3025, 275, 4466, 311, 273, 510, 204, 485, 440, 1451, 13, 327, 19, 1420, 68, 553, 17, 379, 9220, 534, 448, 685, 68, 553, 31, 204, 895, 685, 68, 553, 19, 2206, 13, 1935, 19, 2387, 14, 204, 485, 407, 283, 7, 8116, 510, 31, 463, 327, 19, 1420, 68, 553, 2495, 204, 305, 902, 31, 204, 485, 407, 958, 19, 492, 204, 268, 902, 31, 204, 305, 407, 283, 7, 596, 463, 1935, 19, 1835, 68, 1181, 2829, 463, 1935, 19, 492, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 15171, 289, 6547, 1449, 26413, 15750, 13, 204, 268, 3923, 68, 805, 1022, 1942, 1963, 2005, 19, 29731, 43392, 19, 12246, 20, 91, 22, 20, 3823, 20, 91, 22, 20, 30424, 528, 204, 268, 3923, 68, 644, 1022, 5049, 75, 2188, 897, 70, 26, 75, 47257, 71, 1258, 5235, 4343, 22, 74, 1845, 7326, 3701, 5845, 7298, 528, 204, 268, 740, 68, 359, 1022, 26, 73, 29, 3787, 2985, 73, 528, 204, 268, 919, 68, 553, 44670, 1420, 19, 324, 24, 7, 204, 264, 1179, 204, 264, 456, 13, 18228, 19, 6470, 499, 5975, 17, 2688, 14876, 388, 93, 68, 30644, 441, 41391, 3687, 204, 0, 647, 3805, 448, 1246, 204, 531, 4277, 532, 6835, 204, 531, 4277, 19, 3995, 68, 7419, 532, 361, 11604, 204, 531, 4277, 19, 5618, 68, 809, 532, 16848, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 4277, 19, 5878, 532, 3666, 68, 2224, 204, 204, 461, 1137, 68, 1460, 365, 68, 26560, 640, 68, 41430, 68, 2182, 13, 805, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 275, 8149, 365, 20576, 34034, 1485, 497, 275, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 302, 275, 1485, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 334, 3271, 1485, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 1485, 497, 275, 800, 1274, 204, 268, 424, 289, 1246, 19, 976, 68, 2039, 13, 805, 17, 716, 14820, 1987, 4980, 5434, 1705, 24415, 491, 379, 44, 2429, 17232, 491, 379, 46747, 38507, 491, 379, 13263, 266, 4167, 19087, 491, 716, 20772, 379, 43444, 16569, 491, 379, 41375, 491, 379, 5876, 9808, 47872, 35015, 9199, 491, 379, 14167, 491, 379, 45759, 2378, 204, 268, 407, 424, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1485, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 1485, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 838, 68, 23563, 68, 11180, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 809, 374, 393, 16848, 31, 204, 264, 320, 204, 264, 666, 273, 43337, 15210, 570, 19, 204, 204, 264, 475, 31, 204, 264, 16848, 31, 334, 1966, 570, 19, 204, 264, 320, 204, 264, 314, 666, 273, 43337, 15210, 570, 440, 1540, 2072, 204, 264, 407, 16848, 13, 1129, 68, 2062, 34, 5758, 14, 204, 204, 461, 2694, 68, 2226, 13, 481, 31, 1246, 19, 1362, 17, 570, 31, 16848, 17, 771, 68, 2226, 31, 421, 14, 393, 361, 11604, 31, 204, 264, 320, 204, 264, 5988, 275, 1901, 3287, 2048, 974, 18302, 13696, 47939, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 2600, 19, 1362, 330, 334, 1485, 19, 204, 264, 570, 322, 36169, 330, 334, 570, 311, 732, 348, 2648, 7101, 19, 204, 264, 771, 68, 2226, 322, 339, 330, 334, 542, 302, 2048, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 361, 11604, 31, 334, 361, 11604, 726, 440, 275, 4285, 2048, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 1485, 1025, 2048, 329, 1029, 204, 264, 2048, 289, 424, 19, 5613, 611, 45759, 491, 3138, 34, 22, 789, 1309, 204, 264, 1029, 289, 424, 736, 45759, 3750, 1309, 204, 615, 264, 314, 666, 437, 361, 11604, 726, 440, 275, 800, 570, 329, 542, 302, 2048, 204, 264, 468, 2970, 289, 361, 11604, 13, 809, 17, 771, 68, 2226, 14, 204, 615, 264, 314, 10083, 275, 361, 11604, 726, 311, 275, 1485, 204, 264, 468, 2970, 19, 2714, 13, 2226, 17, 1029, 14, 204, 615, 264, 407, 468, 2970, 204, 204, 461, 3953, 68, 809, 13, 481, 31, 1246, 19, 1362, 17, 570, 31, 16848, 17, 771, 68, 2226, 31, 421, 14, 393, 818, 31, 204, 264, 320, 204, 264, 4938, 275, 5956, 302, 275, 570, 974, 275, 4285, 2048, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 2600, 19, 1362, 330, 334, 1485, 19, 204, 264, 570, 322, 36169, 330, 334, 570, 311, 3953, 19, 204, 264, 771, 68, 2226, 322, 339, 330, 334, 542, 302, 2048, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 3666, 302, 275, 570, 19, 204, 264, 320, 204, 264, 314, 5988, 275, 1901, 3287, 2048, 204, 264, 468, 2970, 289, 2694, 68, 2226, 13, 481, 17, 570, 17, 771, 68, 2226, 14, 204, 615, 264, 314, 763, 275, 4285, 2048, 204, 264, 4285, 68, 2226, 289, 424, 19, 5613, 611, 45759, 491, 3138, 34, 22, 789, 8751, 3460, 468, 2970, 19, 6815, 68, 1664, 1309, 204, 264, 1029, 289, 424, 736, 45759, 3750, 1309, 204, 615, 264, 314, 3736, 275, 1485, 1025, 1737, 329, 2907, 3416, 204, 264, 1504, 68, 1219, 17, 1504, 68, 804, 17, 469, 68, 1219, 17, 469, 68, 804, 289, 951, 68, 804, 68, 1590, 13, 9227, 68, 2226, 17, 1029, 17, 683, 68, 835, 34, 21, 19, 23, 17, 1400, 68, 1512, 34, 5820, 14, 204, 615, 264, 314, 2672, 275, 570, 974, 275, 4285, 2048, 204, 264, 570, 19, 2714, 13, 61, 68, 1219, 17, 469, 68, 1219, 14, 204, 615, 264, 314, 3867, 3705, 974, 275, 6020, 570, 204, 264, 3705, 289, 570, 19, 4396, 13, 61, 68, 804, 14, 204, 615, 264, 314, 4938, 275, 5956, 302, 275, 570, 204, 264, 3666, 289, 3666, 68, 2224, 13, 94, 68, 804, 17, 3705, 14, 204, 615, 264, 407, 3666, 204, 204, 461, 667, 1293, 204, 264, 1779, 289, 388, 3189, 1963, 14616, 19, 1154, 19, 46945, 19, 15515, 20, 1368, 20, 10391, 18, 6859, 18, 31762, 20, 1460, 365, 18, 26560, 640, 18, 41430, 20, 1460, 365, 18, 26560, 640, 18, 41430, 19, 481, 7, 204, 264, 424, 289, 1137, 68, 1460, 365, 68, 26560, 640, 68, 41430, 68, 2182, 13, 805, 14, 204, 264, 397, 424, 353, 508, 443, 31, 204, 268, 570, 289, 838, 68, 23563, 68, 11180, 68, 809, 374, 204, 268, 771, 68, 2226, 289, 571, 204, 268, 468, 2970, 289, 2694, 68, 2226, 13, 481, 17, 570, 17, 771, 68, 2226, 14, 204, 268, 456, 499, 31450, 2048, 2180, 424, 19, 5613, 611, 45759, 491, 3138, 34, 22, 789, 3786, 64, 87, 2970, 19, 6815, 68, 694, 204, 822, 268, 314, 4938, 275, 5956, 302, 275, 570, 204, 268, 3666, 289, 3953, 68, 809, 13, 481, 17, 570, 17, 771, 68, 2226, 14, 204, 268, 456, 499, 1655, 3666, 2180, 3666, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 10915, 8213, 5815, 2233, 302, 26204, 17043, 6863, 311, 970, 2666, 1163, 6635, 3522, 11347, 311, 5288, 686, 22, 19, 28, 11002, 292, 7672, 302, 571, 41, 9095, 4009, 348, 1085, 5627, 19, 7054, 884, 88, 5575, 311, 273, 2556, 6193, 560, 47750, 12735, 595, 2981, 6376, 9825, 675, 19, 334, 12735, 13808, 496, 560, 12568, 17, 1085, 4461, 1120, 42184, 5074, 2847, 302, 275, 1085, 17043, 7561, 884, 88, 686, 27, 19, 30, 11002, 292, 12918, 19, 204, 40029, 437, 2931, 292, 26204, 17043, 8402, 1182, 17043, 17, 329, 8499, 17, 2941, 311, 275, 548, 19, 56, 19, 36, 14580, 17, 329, 508, 523, 273, 3403, 3948, 1812, 292, 275, 17043, 10845, 19, 37850, 329, 4009, 2927, 497, 26204, 17043, 6332, 529, 2202, 15434, 311, 6626, 17, 329, 8405, 1895, 4009, 1182, 2264, 24369, 440, 26918, 3576, 2927, 292, 25804, 292, 14109, 521, 904, 3576, 302, 275, 2688, 19, 1765, 548, 19, 56, 19, 9757, 17, 275, 3576, 529, 1425, 7758, 523, 548, 19, 56, 19, 8006, 17, 329, 8405, 4006, 884, 89, 874, 311, 444, 41225, 497, 40282, 348, 12364, 19, 0, 647, 1127, 204, 204, 461, 636, 68, 492, 68, 17025, 13, 2100, 31, 394, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 475, 273, 458, 302, 2617, 3039, 13067, 292, 275, 1713, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 322, 325, 330, 334, 1445, 311, 1813, 348, 2617, 3039, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 2617, 3039, 13067, 292, 275, 1445, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1445, 2560, 204, 264, 397, 508, 1127, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 546, 19, 4332, 13, 2100, 330, 204, 268, 980, 3180, 13, 75, 7, 13788, 3318, 2100, 2867, 1583, 508, 1337, 431, 204, 204, 264, 314, 763, 273, 458, 302, 2617, 3039, 13067, 292, 275, 1445, 204, 264, 407, 551, 865, 19, 546, 19, 1541, 13, 2100, 17, 2049, 14, 348, 2049, 292, 1127, 19, 8970, 13, 2100, 14, 397, 2049, 19, 9641, 11837, 3039, 14094, 204, 204, 204, 461, 16346, 68, 2375, 13, 1420, 68, 2029, 31, 394, 17, 537, 68, 17025, 31, 458, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 46658, 275, 4578, 302, 275, 537, 1860, 1025, 275, 919, 510, 19, 204, 204, 264, 457, 31, 204, 268, 919, 68, 2029, 322, 325, 330, 334, 2049, 302, 275, 919, 510, 19, 204, 268, 537, 68, 17025, 322, 655, 64, 325, 1037, 332, 458, 302, 13067, 311, 16346, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 1169, 302, 275, 537, 1860, 770, 508, 1337, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 919, 510, 292, 6283, 2291, 204, 268, 440, 1451, 13, 1420, 68, 2029, 17, 388, 70, 528, 4051, 1022, 3102, 18, 29, 431, 448, 20735, 31, 204, 305, 314, 1861, 1048, 848, 537, 510, 204, 305, 348, 2049, 292, 537, 68, 17025, 31, 204, 485, 314, 778, 397, 275, 510, 2560, 204, 485, 397, 508, 1127, 19, 546, 19, 4332, 13, 2029, 330, 204, 895, 980, 3180, 13, 75, 7, 2597, 3318, 2029, 2867, 1583, 508, 1337, 431, 204, 204, 485, 314, 3594, 275, 537, 510, 329, 1151, 1163, 4578, 204, 485, 440, 1451, 13, 2029, 17, 388, 87, 528, 4051, 1022, 3102, 18, 29, 431, 448, 37064, 31, 204, 895, 314, 3400, 275, 4578, 311, 275, 919, 510, 204, 895, 20735, 19, 2206, 13, 37002, 19, 976, 1447, 204, 264, 827, 3180, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 9918, 275, 1445, 329, 919, 2049, 204, 264, 1445, 289, 388, 481, 7, 204, 264, 919, 68, 2029, 289, 388, 768, 19, 3039, 7, 204, 204, 264, 810, 31, 204, 268, 314, 763, 275, 458, 302, 2617, 3039, 13067, 292, 275, 1445, 204, 268, 24238, 68, 17025, 289, 636, 68, 492, 68, 17025, 13, 2100, 14, 204, 204, 268, 314, 778, 397, 1169, 1860, 1466, 1193, 204, 268, 397, 508, 24238, 68, 17025, 31, 204, 305, 456, 13, 75, 7, 3882, 2617, 3039, 1860, 1193, 292, 1445, 3318, 2100, 15049, 204, 305, 407, 204, 204, 268, 314, 14364, 275, 1860, 204, 268, 16346, 68, 2375, 13, 1420, 68, 2029, 17, 24238, 68, 17025, 14, 204, 268, 456, 13, 75, 7, 20962, 15499, 4073, 311, 3318, 1420, 68, 2029, 15049, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 8685, 204, 647, 8632, 204, 647, 1361, 204, 531, 1498, 532, 332, 5940, 578, 17, 5006, 204, 204, 8, 977, 275, 2082, 204, 761, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 37, 481, 3191, 19, 6611, 13, 24244, 34, 1021, 17, 1552, 34, 1021, 14, 204, 676, 28475, 33363, 9261, 31, 204, 264, 320, 204, 264, 2646, 273, 4948, 33363, 7063, 440, 437, 4470, 741, 19, 204, 204, 264, 1532, 31, 204, 268, 7794, 322, 339, 330, 334, 7794, 302, 275, 7063, 19, 204, 268, 4470, 68, 2539, 322, 9261, 31959, 332, 5940, 578, 64, 1386, 3795, 334, 4470, 741, 311, 4490, 19, 204, 264, 320, 204, 264, 7794, 31, 421, 204, 264, 4470, 68, 2539, 31, 5006, 31959, 332, 5940, 578, 64, 1386, 2629, 289, 8632, 19, 1993, 13, 15828, 34, 1975, 14, 204, 204, 676, 20276, 9860, 31, 204, 264, 320, 204, 264, 332, 7373, 2769, 496, 6876, 4948, 33363, 3073, 311, 273, 7373, 19, 204, 204, 264, 334, 8784, 302, 808, 850, 353, 311, 3326, 3073, 311, 273, 7373, 329, 5190, 7794, 311, 4153, 11234, 19, 204, 264, 2416, 732, 490, 17, 838, 273, 7373, 329, 11234, 31, 204, 0, 21874, 408, 6510, 24618, 3169, 19698, 22039, 8566, 11910, 27297, 6804, 110, 46201, 13445, 2112, 10982, 16, 40478, 34372, 5182, 25598, 8566, 3560, 2065, 3784, 9163, 3456, 568, 204, 24919, 19070, 1565, 1258, 2903, 5639, 2544, 408, 6804, 110, 46201, 13445, 2112, 28473, 8297, 10265, 725, 6128, 5159, 725, 5265, 9780, 24, 1377, 2112, 28473, 2831, 408, 776, 104, 1191, 2677, 921, 15679, 12547, 6804, 110, 46201, 13445, 2112, 2575, 28473, 460, 39670, 37718, 2638, 408, 6653, 6142, 2014, 5115, 3571, 5368, 3362, 4068, 408, 17473, 990, 2112, 4079, 3169, 5115, 7342, 6681, 24573, 990, 5368, 2575, 8709, 1001, 17172, 2526, 23455, 23, 1377, 8709, 2338, 8330, 4404, 22, 1377, 8709, 4079, 2112, 568, 22, 1377, 44299, 19888, 3784, 24902, 408, 28, 1377, 33204, 47835, 568, 30525, 43731, 4049, 1377, 27309, 725, 5091, 1377, 10577, 725, 9032, 1377, 10990, 2677, 7333, 2898, 1377, 23806, 10990, 408, 8695, 1689, 1189, 5873, 11905, 10990, 10412, 36228, 1377, 14151, 7925, 28013, 725, 1003, 2562, 1377, 34651, 17429, 568, 204, 6804, 110, 46201, 13445, 38771, 7047, 47835, 2677, 6233, 17718, 11736, 44470, 19888, 6577, 11104, 2653, 204, 6804, 110, 46201, 13445, 5381, 10265, 8846, 2831, 2677, 5368, 11736, 9163, 8846, 2831, 408, 40451, 990, 6245, 2615, 31269, 1001, 460, 4239, 3883, 8846, 2831, 2653, 204, 6804, 110, 46201, 13445, 15659, 1764, 922, 250, 2455, 6653, 47835, 2677, 6233, 1458, 4667, 6660, 30608, 19430, 43275, 11104, 408, 5368, 2112, 11736, 9163, 3235, 8255, 2653, 204, 6804, 110, 46201, 13445, 8297, 15079, 4172, 27962, 14791, 41, 2677, 5851, 6076, 6804, 110, 46201, 13445, 8297, 15079, 16540, 18678, 2831, 2653, 204, 776, 104, 1191, 27962, 4172, 6653, 30206, 5851, 3028, 4500, 17481, 8627, 30206, 2677, 40451, 17675, 4172, 6653, 4241, 22395, 460, 25975, 6653, 2831, 2653, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 39610, 6510, 24618, 3169, 11910, 9125, 24057, 6510, 24618, 3169, 22039, 408, 854, 40763, 9531, 5646, 11308, 5778, 19698, 1227, 8566, 6689, 4660, 3248, 408, 23169, 12094, 7657, 1227, 5778, 8566, 21596, 408, 6510, 24618, 3169, 22039, 3560, 921, 28189, 5038, 2386, 6764, 942, 6631, 1227, 9850, 23847, 568, 204, 6510, 24618, 3169, 22039, 2093, 15313, 2426, 7594, 5778, 8566, 408, 11572, 8612, 5778, 8566, 6883, 7624, 408, 2278, 22039, 8566, 725, 1902, 4828, 8566, 725, 33885, 5778, 8566, 725, 1432, 4530, 1971, 5778, 1251, 13464, 725, 1432, 4530, 1971, 5778, 8566, 725, 3140, 42110, 6689, 17062, 568, 204, 6510, 24618, 3169, 22039, 23187, 11273, 6658, 19908, 5778, 6689, 854, 22424, 11273, 6658, 3235, 10211, 408, 10366, 10120, 460, 6390, 5038, 17572, 408, 6390, 22039, 8566, 6689, 408, 2657, 1189, 4772, 4079, 725, 4231, 4079, 2338, 3359, 40355, 8055, 12552, 4660, 1689, 5097, 17096, 1432, 4530, 12644, 8566, 6689, 408, 1189, 12552, 3500, 23101, 4660, 5778, 20396, 1227, 19493, 568, 204, 6510, 24618, 3169, 22039, 408, 2570, 18709, 5778, 1971, 6883, 9061, 1227, 10700, 3456, 3248, 4134, 0, 647, 1127, 204, 647, 1875, 204, 531, 5217, 37277, 532, 24952, 204, 647, 2010, 448, 645, 204, 647, 304, 204, 531, 15972, 4575, 532, 44588, 204, 531, 1437, 19, 2918, 19, 481, 532, 8641, 204, 647, 1437, 204, 204, 461, 1137, 68, 39613, 68, 2375, 13, 2100, 68, 546, 31, 394, 289, 11360, 1775, 534, 393, 458, 31, 204, 264, 320, 204, 264, 1385, 12301, 1860, 497, 275, 1713, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 322, 325, 330, 334, 1445, 832, 1174, 12301, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 12301, 510, 3630, 19, 204, 264, 320, 204, 264, 314, 763, 273, 458, 302, 1860, 292, 275, 1445, 204, 264, 1860, 289, 1127, 19, 8970, 13, 2100, 68, 546, 14, 204, 615, 264, 314, 4863, 685, 7887, 329, 1860, 496, 4006, 2964, 918, 388, 89, 651, 7, 521, 874, 388, 17505, 7, 292, 1017, 588, 204, 264, 12301, 68, 2375, 289, 551, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 14, 348, 510, 292, 1860, 716, 12764, 397, 1127, 19, 546, 19, 13226, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 602, 329, 388, 89, 651, 7, 292, 510, 329, 388, 17505, 7, 508, 292, 510, 66, 204, 615, 264, 407, 12301, 68, 2375, 204, 204, 461, 1137, 68, 39613, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 1385, 12301, 424, 497, 273, 2084, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 12301, 21046, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 2084, 424, 497, 275, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 4051, 833, 3102, 18, 29, 534, 448, 7248, 31, 204, 305, 12301, 68, 574, 289, 1875, 19, 986, 13, 3228, 14, 204, 305, 407, 12301, 68, 574, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 10318, 2084, 31, 463, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 204, 461, 3106, 68, 39613, 13, 39613, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8414, 273, 12301, 560, 7057, 2872, 2159, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 322, 325, 330, 334, 12301, 311, 3106, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5872, 12301, 19, 204, 264, 320, 204, 264, 314, 968, 273, 4217, 2231, 2679, 311, 2216, 2872, 2724, 204, 264, 4090, 289, 304, 19, 7354, 13, 90, 18380, 21, 18, 30, 70, 18, 17530, 18, 63, 2458, 32, 4015, 4002, 3812, 4134, 990, 1001, 11069, 884, 37, 8, 24136, 104, 10, 5013, 11, 11720, 2677, 2653, 10400, 16, 13359, 13345, 96, 16258, 3058, 34418, 408, 568, 11, 18889, 725, 97, 31, 1984, 23842, 204, 615, 264, 314, 4546, 2872, 2724, 440, 437, 1392, 782, 204, 264, 407, 304, 19, 1509, 13, 8362, 17, 8897, 12301, 14, 204, 204, 461, 7324, 68, 39613, 68, 481, 13, 39613, 68, 2375, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 8254, 12301, 424, 560, 4644, 329, 16622, 25376, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 2375, 322, 655, 330, 332, 458, 302, 12301, 510, 3630, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 5872, 25376, 19, 204, 264, 320, 204, 264, 12301, 68, 655, 289, 1306, 204, 264, 348, 510, 68, 546, 292, 12301, 68, 2375, 31, 204, 268, 12301, 68, 574, 289, 1137, 68, 39613, 68, 481, 13, 553, 68, 546, 14, 204, 268, 348, 12301, 68, 3643, 292, 12301, 68, 574, 31, 204, 305, 12301, 68, 31759, 289, 12301, 68, 3643, 736, 35270, 839, 204, 305, 12301, 289, 13080, 1541, 13, 5614, 68, 39613, 13, 6814, 14, 348, 4094, 292, 12301, 68, 31759, 14, 204, 305, 12301, 68, 655, 19, 1223, 13, 39613, 14, 204, 264, 407, 12301, 68, 655, 204, 204, 461, 9293, 68, 633, 68, 3847, 30107, 13, 39613, 68, 655, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 2208, 9293, 9619, 311, 10341, 9619, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 655, 322, 655, 330, 332, 458, 302, 25376, 292, 9293, 9619, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 25376, 292, 10341, 9619, 19, 204, 264, 320, 204, 264, 15171, 289, 44588, 611, 16306, 18, 77, 640, 534, 204, 264, 407, 551, 18228, 19, 6470, 13, 39613, 14, 348, 12301, 292, 12301, 68, 655, 66, 204, 204, 461, 7324, 68, 7021, 13, 39613, 68, 655, 31, 458, 14, 393, 24952, 31, 204, 264, 320, 204, 264, 8254, 273, 7494, 497, 273, 458, 302, 25376, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 655, 322, 655, 330, 332, 458, 302, 25376, 19, 204, 204, 264, 475, 31, 204, 268, 24952, 31, 332, 7494, 726, 19, 204, 264, 320, 204, 264, 5636, 289, 24952, 374, 204, 264, 348, 12301, 292, 12301, 68, 655, 31, 204, 268, 348, 1943, 292, 12301, 31, 204, 305, 5636, 19, 826, 13, 6391, 14, 204, 264, 5636, 19, 3751, 68, 7021, 374, 204, 264, 407, 5636, 204, 204, 461, 1142, 68, 633, 68, 3443, 13, 39613, 68, 655, 31, 458, 17, 5636, 31, 24952, 17, 846, 68, 1796, 31, 421, 289, 5074, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2208, 25376, 311, 1112, 6161, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 655, 322, 655, 330, 332, 458, 302, 25376, 19, 204, 268, 5636, 322, 38617, 330, 332, 7494, 726, 19, 204, 268, 846, 68, 1796, 322, 339, 330, 334, 1646, 1277, 302, 273, 12301, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 1112, 6161, 19, 204, 264, 320, 204, 264, 951, 68, 481, 289, 1306, 204, 264, 348, 12301, 292, 12301, 68, 655, 31, 204, 268, 314, 17221, 521, 27418, 275, 12301, 311, 275, 1646, 1277, 204, 268, 397, 1245, 13, 39613, 14, 1323, 846, 68, 1796, 31, 204, 305, 12301, 289, 12301, 2022, 1129, 68, 1796, 66, 204, 268, 902, 31, 204, 305, 12301, 1412, 379, 379, 540, 322, 1129, 68, 1796, 338, 1245, 13, 39613, 602, 204, 822, 268, 314, 2208, 275, 12301, 311, 273, 458, 302, 3265, 204, 268, 771, 68, 655, 289, 551, 7021, 19, 633, 68, 998, 13, 6391, 14, 348, 1943, 292, 12301, 66, 204, 268, 951, 68, 481, 19, 1223, 13, 920, 68, 655, 14, 204, 264, 407, 645, 19, 643, 13, 1219, 68, 481, 14, 204, 204, 461, 667, 1293, 204, 264, 314, 1385, 12301, 1860, 204, 264, 12301, 68, 2375, 289, 1137, 68, 39613, 68, 2375, 374, 204, 615, 264, 314, 8254, 12301, 424, 204, 264, 12301, 68, 655, 289, 7324, 68, 39613, 68, 481, 13, 39613, 68, 2375, 14, 204, 615, 264, 314, 2208, 9293, 9619, 311, 10341, 9619, 204, 264, 12301, 68, 655, 289, 9293, 68, 633, 68, 3847, 30107, 13, 39613, 68, 655, 14, 204, 615, 264, 314, 8254, 7494, 204, 264, 5636, 289, 7324, 68, 7021, 13, 39613, 68, 655, 14, 204, 615, 264, 314, 2208, 25376, 311, 1112, 6161, 204, 264, 6849, 68, 7671, 289, 1142, 68, 633, 68, 3443, 13, 39613, 68, 655, 17, 5636, 14, 204, 615, 264, 407, 6849, 68, 7671, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 6849, 68, 7671, 289, 667, 374, 204, 264, 456, 13, 3443, 68, 7671, 14, 204, 0, 658, 12082, 348, 15386, 11917, 31395, 204, 204, 673, 2089, 311, 949, 275, 11504, 16903, 329, 5500, 437, 3315, 372, 1613, 7049, 353, 31, 204, 204, 5145, 281, 430, 6322, 289, 16216, 610, 296, 610, 322, 22, 465, 296, 2246, 83, 802, 5796, 22, 465, 296, 2246, 83, 338, 368, 14, 204, 204, 3663, 31, 204, 18, 296, 289, 3205, 2233, 841, 6322, 3155, 204, 18, 300, 289, 542, 302, 16903, 204, 18, 16216, 289, 9758, 1690, 302, 275, 11504, 204, 204, 1380, 1165, 15591, 204, 204, 3070, 273, 2327, 18, 4994, 686, 2051, 11504, 440, 435, 2847, 9433, 3205, 31, 204, 204, 22, 19, 888, 275, 9433, 6322, 31, 204, 22708, 289, 1607, 610, 500, 19, 5559, 610, 322, 22, 465, 500, 19, 5559, 2246, 24, 802, 5796, 22, 465, 500, 19, 5559, 2246, 24, 338, 368, 14, 204, 34, 1607, 610, 500, 19, 5559, 610, 368, 19, 7788, 1258, 802, 500, 19, 7788, 1258, 204, 34, 9131, 19, 6996, 204, 204, 23, 19, 888, 275, 3205, 348, 275, 1043, 6322, 31, 204, 9, 2051, 19, 473, 610, 500, 19, 5559, 289, 686, 23, 19, 473, 3205, 19, 204, 204, 24, 19, 888, 275, 9758, 10872, 292, 275, 1043, 6322, 31, 204, 9, 5091, 19, 6996, 338, 686, 23, 289, 686, 2177, 19, 6996, 204, 204, 25, 19, 888, 275, 717, 27883, 3188, 31, 204, 9, 2051, 338, 686, 2177, 19, 6996, 289, 686, 5645, 19, 2177, 204, 204, 1380, 13325, 37308, 15386, 40092, 204, 204, 673, 6639, 3205, 2233, 618, 444, 3392, 974, 275, 2631, 3214, 31, 204, 204, 22, 19, 4347, 275, 11504, 1690, 17, 11504, 3155, 17, 329, 23849, 3205, 2233, 19, 204, 23, 19, 888, 275, 9433, 6322, 974, 275, 2089, 4166, 19, 204, 24, 19, 888, 275, 1113, 3205, 10872, 1048, 275, 11504, 3155, 19, 204, 25, 19, 888, 275, 6639, 3205, 2233, 974, 275, 7599, 2233, 302, 407, 322, 9481, 55, 14, 741, 19, 204, 204, 1380, 1165, 31, 15386, 22117, 523, 20811, 31395, 20074, 204, 204, 18, 31395, 1690, 31, 686, 2051, 204, 18, 31395, 3155, 31, 571, 5869, 204, 18, 43013, 1082, 3205, 2233, 31, 435, 10, 841, 2699, 204, 18, 35013, 6322, 31, 686, 5091, 19, 6996, 204, 18, 37308, 3205, 2233, 31, 435, 10, 841, 2699, 204, 204, 1380, 1165, 31, 15386, 39540, 2691, 336, 1434, 24950, 497, 20811, 31395, 20074, 204, 204, 18, 31395, 1690, 31, 686, 2051, 204, 18, 31395, 3155, 31, 571, 5869, 204, 18, 43013, 1082, 3205, 2233, 31, 435, 10, 841, 2699, 204, 18, 35013, 6322, 31, 686, 3268, 19, 3268, 322, 6593, 9758, 14, 204, 18, 20074, 42176, 19692, 31, 686, 4957, 19, 5007, 14584, 25, 19, 6257, 3205, 353, 26021, 497, 2171, 11504, 1690, 14, 204, 18, 37308, 3205, 2233, 31, 435, 19, 7085, 10, 841, 2699, 204, 204, 1380, 1165, 31, 964, 640, 440, 2001, 624, 1070, 16720, 2083, 204, 204, 18, 31395, 1690, 31, 686, 2051, 204, 18, 31395, 3155, 31, 571, 5869, 204, 18, 43013, 1082, 3205, 2233, 31, 435, 10, 841, 2699, 204, 18, 35013, 6322, 31, 686, 5091, 19, 6996, 204, 18, 565, 10287, 270, 19722, 686, 1511, 523, 7666, 17, 348, 2970, 9212, 435, 10, 3205, 841, 2699, 204, 18, 37308, 9433, 6322, 31, 686, 4049, 19, 2132, 14584, 5091, 19, 6996, 465, 686, 21, 19, 1719, 8287, 7582, 14, 204, 18, 37308, 3205, 2233, 31, 681, 19, 24, 10, 841, 2699, 322, 29479, 974, 43299, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14, 0, 647, 9456, 204, 531, 4714, 68, 20399, 19, 5000, 532, 4086, 2177, 204, 531, 8605, 68, 20399, 19, 5000, 532, 26133, 29590, 17, 26133, 204, 531, 29440, 93, 68, 20399, 19, 5000, 532, 29809, 17880, 8713, 17, 29809, 17880, 204, 531, 29440, 93, 68, 20399, 19, 5000, 532, 33949, 204, 531, 5722, 68, 20399, 19, 5000, 532, 3207, 204, 531, 2044, 68, 20379, 532, 46051, 36384, 204, 531, 3702, 68, 12499, 19, 19663, 68, 8895, 532, 313, 49, 5948, 204, 647, 1774, 204, 647, 2044, 23, 204, 647, 11055, 204, 647, 2821, 204, 204, 676, 313, 49, 16093, 31, 204, 264, 320, 204, 264, 29809, 13386, 42388, 850, 19, 204, 204, 264, 1058, 850, 353, 7029, 348, 28305, 10935, 14495, 329, 22771, 275, 8462, 24931, 311, 275, 10935, 3702, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 313, 49, 16093, 850, 19, 204, 204, 268, 977, 275, 16087, 944, 17, 27467, 17, 36095, 17, 329, 904, 2558, 19, 204, 268, 320, 204, 268, 9456, 19, 924, 68, 1241, 611, 19663, 68, 13635, 534, 204, 204, 268, 314, 4861, 204, 268, 370, 19, 15486, 68, 9763, 68, 12300, 289, 571, 204, 204, 268, 314, 977, 2558, 204, 268, 370, 19, 3473, 289, 443, 204, 268, 370, 19, 8844, 68, 935, 289, 443, 204, 268, 370, 19, 19097, 289, 443, 204, 268, 370, 19, 14071, 289, 1306, 204, 268, 370, 19, 4753, 68, 935, 289, 1078, 204, 204, 268, 314, 666, 27467, 204, 268, 370, 19, 3473, 68, 27417, 289, 9456, 19, 27586, 4195, 1976, 68, 3473, 491, 26133, 29590, 17, 370, 19, 3473, 68, 6197, 14, 204, 268, 370, 19, 41212, 68, 27417, 289, 9456, 19, 27586, 4195, 772, 68, 41212, 491, 33949, 17, 370, 19, 41212, 68, 6197, 14, 204, 268, 370, 19, 22337, 68, 27417, 289, 9456, 19, 27586, 4195, 11735, 20, 22337, 68, 14071, 491, 29809, 17880, 8713, 17, 370, 19, 22337, 68, 6197, 14, 204, 268, 370, 19, 935, 68, 27417, 289, 9456, 19, 27586, 4195, 935, 68, 2640, 491, 3207, 17, 370, 19, 935, 68, 6197, 14, 204, 204, 268, 314, 1385, 1586, 204, 268, 954, 68, 1031, 289, 9456, 19, 505, 68, 2394, 6343, 22337, 68, 3676, 68, 1087, 431, 204, 268, 370, 19, 1087, 289, 11055, 19, 986, 13, 1087, 68, 1031, 14, 204, 204, 268, 314, 666, 11804, 204, 268, 370, 19, 48558, 68, 747, 68, 3676, 68, 3819, 289, 9456, 19, 18988, 4195, 22337, 68, 30410, 491, 4086, 2177, 17, 2769, 68, 835, 34, 22, 14, 204, 204, 268, 314, 977, 904, 2558, 204, 268, 370, 19, 20379, 289, 46051, 36384, 374, 204, 268, 370, 19, 3676, 68, 8895, 289, 313, 49, 5948, 374, 204, 268, 370, 19, 19339, 289, 1774, 19, 11557, 25164, 374, 204, 268, 370, 19, 1512, 289, 29809, 17880, 19, 32567, 204, 268, 370, 19, 2391, 68, 1512, 289, 29809, 17880, 19, 32567, 204, 268, 370, 19, 2391, 68, 29418, 289, 338, 22, 204, 268, 370, 19, 1512, 68, 765, 289, 500, 204, 204, 264, 436, 11139, 68, 6197, 13, 327, 17, 11139, 31, 26133, 29590, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 11139, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 11139, 322, 32078, 29590, 330, 334, 790, 11139, 302, 275, 5654, 19, 204, 268, 320, 204, 268, 370, 19, 3473, 289, 11139, 204, 204, 264, 436, 35655, 68, 6197, 13, 327, 17, 19168, 31, 33949, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 35655, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 19168, 322, 49, 2351, 330, 334, 35655, 302, 275, 19168, 19, 204, 268, 320, 204, 268, 370, 19, 19097, 289, 19168, 204, 204, 264, 436, 10935, 68, 6197, 13, 327, 17, 10935, 68, 3676, 68, 643, 31, 29809, 17880, 8713, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 10935, 3702, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 10935, 68, 3676, 68, 643, 322, 43386, 17880, 8713, 330, 334, 10935, 3702, 1348, 19, 204, 268, 320, 204, 268, 370, 19, 14071, 289, 10935, 68, 3676, 68, 643, 19, 14071, 204, 204, 264, 436, 752, 68, 6197, 13, 327, 17, 752, 31, 3207, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 752, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 752, 322, 3873, 330, 334, 4812, 752, 19, 204, 268, 320, 204, 268, 370, 19, 4753, 68, 935, 289, 959, 204, 268, 370, 19, 8844, 68, 935, 289, 752, 204, 268, 3702, 68, 29418, 17, 1259, 289, 370, 19, 1616, 68, 22337, 68, 14071, 374, 204, 204, 268, 314, 15657, 25860, 4720, 14495, 630, 4812, 3133, 204, 268, 397, 370, 19, 1512, 2167, 1259, 31, 204, 305, 370, 19, 1512, 68, 765, 289, 500, 204, 305, 370, 19, 1512, 289, 1259, 204, 268, 1677, 370, 19, 1512, 68, 765, 3721, 370, 19, 15486, 68, 9763, 68, 12300, 31, 204, 305, 370, 19, 2391, 68, 1512, 289, 370, 19, 1512, 204, 305, 3702, 68, 29418, 289, 3702, 68, 29418, 397, 1259, 292, 551, 43386, 17880, 19, 12021, 17, 29809, 17880, 19, 33400, 66, 902, 338, 22, 204, 305, 370, 19, 2391, 68, 29418, 289, 3702, 68, 29418, 204, 305, 370, 19, 48558, 68, 747, 68, 3676, 68, 3819, 19, 12521, 13, 6594, 2177, 13, 3676, 68, 29418, 602, 204, 268, 902, 31, 204, 305, 370, 19, 48558, 68, 747, 68, 3676, 68, 3819, 19, 12521, 13, 6594, 2177, 13, 327, 19, 2391, 68, 29418, 602, 204, 268, 370, 19, 1512, 68, 765, 1412, 368, 204, 204, 264, 436, 636, 68, 19764, 68, 30410, 13, 327, 17, 11139, 31, 26133, 17, 35655, 31, 458, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 8462, 24931, 311, 275, 800, 11139, 19, 204, 204, 268, 457, 31, 204, 305, 11139, 322, 32078, 330, 334, 11139, 311, 1020, 275, 8462, 24931, 311, 19, 204, 305, 35655, 322, 655, 330, 334, 458, 302, 35655, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1112, 302, 275, 8462, 24931, 19, 204, 268, 320, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 314, 888, 275, 1759, 1283, 275, 11139, 329, 848, 24931, 204, 268, 5324, 289, 551, 327, 19, 3446, 68, 3174, 13, 3473, 17, 24931, 19, 3473, 19, 3473, 14, 348, 24931, 292, 35655, 66, 204, 268, 314, 455, 275, 1112, 302, 275, 8462, 24931, 204, 268, 407, 5324, 19, 998, 13, 885, 13, 9854, 602, 204, 204, 264, 436, 636, 68, 19764, 68, 998, 13, 327, 17, 2147, 68, 3473, 31, 26133, 17, 44986, 68, 3473, 68, 655, 31, 458, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 8462, 1112, 311, 275, 800, 11139, 19, 204, 204, 268, 457, 31, 204, 305, 2147, 68, 3473, 322, 32078, 330, 334, 11139, 311, 1020, 275, 8462, 1112, 311, 19, 204, 305, 44986, 68, 3473, 68, 655, 322, 655, 330, 334, 458, 302, 10935, 3702, 25803, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1112, 302, 275, 8462, 10935, 3702, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1759, 1283, 275, 2147, 11139, 329, 848, 10935, 3702, 11139, 204, 268, 5324, 289, 551, 327, 19, 3446, 68, 3174, 13, 5365, 68, 3473, 17, 44986, 68, 3473, 19, 3473, 19, 3473, 14, 348, 44986, 68, 3473, 292, 44986, 68, 3473, 68, 655, 66, 204, 268, 314, 455, 275, 1112, 302, 275, 8462, 10935, 3702, 204, 268, 407, 5324, 19, 998, 13, 885, 13, 9854, 602, 204, 204, 264, 436, 949, 68, 3174, 13, 327, 17, 11139, 22, 31, 26133, 17, 11139, 23, 31, 26133, 14, 393, 818, 31, 204, 268, 320, 204, 268, 888, 275, 1759, 1283, 970, 25803, 19, 204, 204, 268, 457, 31, 204, 305, 11139, 22, 322, 32078, 330, 334, 1043, 11139, 19, 204, 305, 11139, 23, 322, 32078, 330, 334, 1350, 11139, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1759, 1283, 275, 970, 25803, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1759, 974, 275, 10781, 1759, 2089, 204, 268, 407, 2821, 19, 25702, 13, 3473, 22, 19, 1932, 19, 93, 338, 11139, 23, 19, 1932, 19, 93, 17, 11139, 22, 19, 1932, 19, 94, 338, 11139, 23, 19, 1932, 19, 94, 14, 204, 204, 264, 436, 636, 68, 3676, 68, 1512, 13, 327, 17, 3702, 31, 29809, 17880, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 1259, 302, 275, 800, 10935, 3702, 19, 204, 204, 268, 457, 31, 204, 305, 3702, 322, 43386, 17880, 330, 334, 10935, 3702, 311, 636, 275, 1259, 302, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1259, 302, 275, 10935, 3702, 19, 204, 268, 320, 204, 268, 397, 508, 370, 19, 4753, 68, 935, 31, 204, 305, 407, 1078, 204, 268, 2044, 68, 935, 289, 370, 19, 20379, 19, 3371, 5000, 68, 633, 68, 4869, 23, 13, 327, 19, 8844, 68, 935, 17, 388, 38976, 29, 431, 204, 268, 407, 370, 19, 3676, 68, 8895, 19, 505, 68, 12499, 13, 4869, 68, 935, 14, 204, 204, 264, 436, 1900, 68, 3676, 13, 327, 17, 610, 31, 818, 17, 469, 31, 818, 17, 1264, 31, 818, 14, 393, 29809, 17880, 31, 204, 268, 320, 204, 268, 2069, 273, 10935, 3702, 440, 275, 800, 1502, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 996, 330, 334, 610, 18, 3936, 302, 275, 10935, 3702, 19, 204, 305, 469, 322, 996, 330, 334, 469, 18, 3936, 302, 275, 10935, 3702, 19, 204, 305, 1264, 322, 996, 330, 334, 1264, 18, 3936, 302, 275, 10935, 3702, 19, 204, 204, 268, 475, 31, 204, 305, 29809, 17880, 31, 334, 4489, 10935, 3702, 19, 204, 268, 320, 204, 268, 3702, 289, 29809, 17880, 374, 204, 268, 3702, 19, 3473, 289, 26133, 29590, 374, 204, 268, 3702, 19, 3473, 19, 3473, 19, 1932, 19, 93, 289, 610, 204, 268, 3702, 19, 3473, 19, 3473, 19, 1932, 19, 94, 289, 469, 204, 268, 3702, 19, 3473, 19, 3473, 19, 1932, 19, 95, 289, 1264, 204, 268, 407, 3702, 204, 204, 264, 436, 1352, 68, 22337, 68, 14071, 13, 327, 14, 393, 927, 31, 204, 268, 320, 204, 268, 3325, 10935, 14495, 329, 407, 275, 8462, 24931, 329, 1259, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 8462, 24931, 329, 275, 1259, 302, 275, 10935, 3702, 19, 204, 268, 320, 204, 268, 3702, 289, 443, 204, 268, 3506, 68, 1054, 68, 5864, 289, 370, 19, 1087, 736, 5029, 68, 1054, 68, 5864, 839, 204, 268, 397, 370, 19, 3473, 329, 370, 19, 19097, 31, 204, 305, 3702, 68, 1932, 289, 370, 19, 505, 68, 19764, 68, 998, 13, 327, 19, 3473, 19, 3473, 17, 370, 19, 14071, 14, 204, 305, 3702, 68, 29418, 289, 370, 19, 505, 68, 19764, 68, 30410, 13, 327, 19, 14071, 64, 3676, 68, 1932, 1664, 3473, 19, 3473, 17, 370, 19, 19097, 19, 41212, 14, 204, 305, 2238, 289, 551, 327, 19, 4776, 68, 3676, 13, 1075, 64, 21, 648, 1050, 64, 22, 648, 500, 6268, 348, 1050, 292, 3506, 68, 1054, 68, 5864, 66, 204, 305, 1007, 68, 29418, 289, 370, 19, 505, 68, 19764, 68, 30410, 13, 2604, 64, 3676, 68, 1932, 1664, 3473, 19, 3473, 17, 370, 19, 19097, 19, 41212, 14, 204, 305, 1259, 289, 370, 19, 14071, 64, 3676, 68, 1932, 1664, 1512, 226, 314, 370, 19, 505, 68, 3676, 68, 1512, 13, 327, 19, 14071, 64, 3676, 68, 1932, 694, 204, 305, 407, 1007, 68, 29418, 17, 1259, 204, 268, 407, 338, 22, 17, 29809, 17880, 19, 32567, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 810, 31, 204, 268, 313, 49, 16093, 374, 204, 264, 827, 9456, 19, 2267, 1815, 1537, 7143, 2940, 31, 204, 268, 9456, 19, 48155, 611, 19230, 508, 1012, 10935, 944, 5901, 204, 0, 676, 9730, 31, 204, 264, 320, 204, 264, 2646, 273, 3886, 440, 273, 588, 329, 273, 458, 302, 9700, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 3886, 19, 204, 268, 9700, 322, 655, 330, 332, 458, 302, 9700, 292, 275, 3886, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 9730, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 3886, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 16532, 289, 1306, 204, 204, 264, 436, 881, 68, 8804, 13, 327, 17, 4703, 31, 379, 11926, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 437, 4703, 311, 275, 3886, 19, 204, 204, 268, 457, 31, 204, 305, 4703, 322, 11926, 330, 334, 4703, 311, 881, 19, 204, 268, 320, 204, 268, 370, 19, 16532, 19, 1223, 13, 8804, 14, 204, 204, 264, 436, 456, 68, 4810, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 3886, 3695, 17, 2864, 1163, 588, 329, 9700, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 17871, 4014, 31, 463, 327, 19, 417, 743, 204, 268, 456, 499, 46901, 7092, 2212, 204, 268, 348, 4703, 292, 370, 19, 16532, 31, 204, 305, 4703, 19, 2102, 68, 4810, 374, 204, 204, 204, 676, 6909, 31, 204, 264, 320, 204, 264, 2646, 273, 1874, 440, 273, 588, 329, 2523, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1874, 19, 204, 268, 2523, 322, 339, 330, 334, 2523, 302, 275, 1874, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 2523, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 6909, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 1874, 19, 204, 305, 2523, 322, 339, 330, 334, 2523, 302, 275, 1874, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 438, 289, 2523, 204, 204, 264, 436, 456, 68, 4810, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 1874, 677, 3695, 17, 2864, 1017, 588, 329, 2523, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 417, 1522, 13995, 31, 463, 327, 19, 438, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 3886, 329, 1429, 9700, 17, 329, 5538, 1017, 3695, 19, 204, 264, 320, 204, 264, 314, 666, 273, 3886, 204, 264, 3886, 289, 9730, 499, 16226, 9730, 431, 204, 204, 264, 314, 666, 1429, 9700, 204, 264, 4703, 22, 289, 6909, 499, 6192, 7358, 528, 2468, 14, 204, 264, 4703, 23, 289, 6909, 499, 14993, 7358, 528, 2019, 14, 204, 204, 264, 314, 1255, 9700, 311, 275, 3886, 204, 264, 3886, 19, 826, 68, 8804, 13, 8804, 22, 14, 204, 264, 3886, 19, 826, 68, 8804, 13, 8804, 23, 14, 204, 204, 264, 314, 1198, 3886, 3695, 204, 264, 3886, 19, 2102, 68, 4810, 374, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 16850, 8339, 302, 29633, 30403, 1164, 37364, 302, 29633, 30403, 11261, 4839, 17, 9300, 12535, 1226, 18457, 1622, 3837, 884, 88, 2439, 545, 24194, 12206, 31, 2935, 5814, 5805, 1622, 3027, 545, 1001, 36, 1164, 12535, 1226, 18457, 1622, 3837, 884, 88, 2439, 545, 24194, 12206, 31, 2935, 5814, 5805, 1622, 3027, 545, 1001, 36, 3899, 9419, 31, 3400, 1873, 630, 3406, 720, 6016, 302, 29633, 329, 11955, 18, 49, 4059, 5337, 1164, 3899, 9419, 31, 3400, 1873, 630, 3406, 720, 6016, 302, 29633, 329, 11955, 18, 49, 4059, 5337, 41301, 618, 444, 6167, 1025, 29633, 521, 11955, 18, 49, 4059, 6, 1164, 41301, 618, 444, 6167, 1025, 29633, 521, 11955, 18, 49, 4059, 6, 4087, 17, 2075, 353, 273, 7497, 7936, 36, 1164, 4087, 17, 2075, 353, 273, 7497, 7936, 36, 2935, 353, 275, 2712, 1283, 273, 4968, 329, 273, 11118, 36, 204, 3728, 5814, 830, 275, 5337, 292, 872, 1622, 35713, 1001, 1837, 7497, 36, 204, 3728, 770, 830, 7497, 5337, 874, 292, 2323, 36, 3065, 529, 887, 10569, 302, 29633, 30403, 1164, 3065, 529, 887, 10569, 302, 29633, 30403, 29633, 5337, 529, 2927, 719, 302, 36398, 367, 204, 49, 4059, 5337, 5961, 329, 732, 36398, 367, 204, 49, 4059, 5337, 22145, 24138, 329, 36398, 68, 204, 49, 4059, 5337, 36398, 5606, 204, 49, 4059, 5337, 22145, 15030, 204, 49, 4059, 5337, 22145, 367, 311, 1017, 1964, 4207, 2796, 3437, 2390, 33895, 2284, 8649, 3899, 32111, 7051, 5360, 36, 1164, 3899, 32111, 7051, 5360, 36, 3899, 32111, 7051, 5360, 36, 1164, 3899, 32111, 7051, 5360, 36, 15229, 5297, 5912, 1164, 15229, 5297, 5912, 1974, 275, 6338, 440, 830, 275, 887, 10569, 311, 3020, 397, 275, 5337, 496, 572, 10869, 1873, 2518, 529, 6327, 7497, 521, 1950, 35713, 19, 204, 15406, 275, 588, 302, 275, 726, 521, 13230, 292, 1824, 18, 4659, 1837, 204, 5995, 275, 6591, 1683, 848, 13305, 15229, 5297, 5912, 1164, 15229, 5297, 5912, 12322, 1605, 5337, 7497, 521, 1950, 35713, 36, 1164, 12322, 1605, 5337, 7497, 521, 1950, 35713, 36, 33893, 1164, 33893, 4456, 273, 7157, 311, 1173, 848, 302, 275, 887, 10569, 302, 7497, 5337, 19, 9076, 311, 47034, 15259, 2001, 310, 1430, 11274, 270, 31, 1164, 9076, 311, 47034, 15259, 2001, 310, 1430, 11274, 270, 31, 1058, 14756, 867, 1376, 292, 273, 9542, 9116, 275, 887, 10569, 302, 7497, 5337, 17, 448, 275, 7830, 302, 273, 2350, 523, 16031, 6980, 19, 334, 1419, 12535, 1226, 18457, 2752, 867, 1376, 448, 273, 1622, 8572, 1001, 311, 636, 2459, 12912, 19, 334, 970, 2388, 302, 6415, 322, 389, 5751, 17, 1051, 508, 14, 1466, 1376, 311, 6548, 1662, 6415, 618, 1622, 1766, 3582, 334, 2423, 2752, 928, 5913, 33125, 302, 273, 8372, 302, 1792, 7497, 329, 1950, 18, 35713, 5337, 867, 1376, 448, 273, 850, 4801, 17, 1273, 2459, 9002, 497, 275, 2752, 3855, 275, 5337, 1466, 7497, 521, 508, 19, 334, 21020, 1466, 1376, 311, 1340, 2459, 3126, 808, 9542, 292, 275, 2085, 302, 5658, 5194, 302, 34609, 19, 334, 44528, 45896, 311, 16811, 19889, 1483, 1466, 1376, 448, 273, 1085, 302, 275, 20938, 17, 754, 382, 2549, 4566, 2459, 2075, 1250, 6183, 4230, 3891, 1682, 2518, 39759, 275, 1142, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17, 521, 275, 1682, 1870, 302, 275, 6338, 19, 0, 647, 1127, 204, 531, 752, 1678, 19, 25619, 532, 12206, 5379, 25619, 204, 204, 461, 3219, 68, 4814, 68, 1386, 68, 13635, 13, 12762, 68, 546, 31, 394, 14, 393, 12206, 5379, 25619, 31, 204, 264, 320, 204, 264, 16927, 273, 2752, 726, 10780, 440, 275, 445, 4732, 5480, 570, 19, 204, 204, 264, 457, 31, 204, 264, 5156, 68, 546, 322, 325, 330, 334, 790, 4636, 1445, 19, 204, 204, 264, 475, 31, 204, 264, 12206, 5379, 25619, 31, 334, 12770, 10780, 19, 204, 264, 320, 204, 264, 314, 977, 275, 2752, 726, 10780, 204, 264, 10780, 289, 12206, 5379, 25619, 374, 204, 615, 264, 314, 1359, 275, 570, 1187, 311, 445, 4732, 5480, 204, 264, 10780, 19, 574, 1655, 2191, 5039, 4100, 4732, 5480, 374, 204, 615, 264, 314, 1359, 275, 570, 832, 204, 264, 570, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 12762, 68, 546, 17, 388, 27575, 20, 17014, 1719, 68, 24789, 68, 6222, 68, 91, 23, 19, 22, 19, 21, 19, 77, 26, 431, 204, 264, 10780, 19, 574, 1655, 4203, 13, 809, 68, 546, 14, 204, 615, 264, 314, 1385, 275, 570, 204, 264, 10780, 19, 986, 1655, 374, 204, 615, 264, 407, 10780, 204, 204, 461, 1352, 68, 4814, 68, 1669, 13, 1669, 68, 1190, 31, 421, 17, 919, 68, 643, 31, 458, 17, 919, 68, 765, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9506, 273, 2875, 2023, 302, 275, 2752, 17, 9095, 919, 329, 21852, 311, 275, 6591, 458, 19, 204, 204, 264, 457, 31, 204, 264, 2023, 68, 1190, 322, 339, 330, 334, 790, 2023, 542, 19, 204, 264, 919, 68, 643, 322, 655, 330, 334, 919, 1348, 348, 848, 726, 19, 204, 264, 919, 68, 765, 322, 339, 330, 334, 919, 1040, 348, 2220, 2828, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 2023, 542, 204, 264, 456, 13, 75, 7, 18055, 14354, 463, 1669, 68, 1190, 743, 204, 615, 264, 314, 1198, 275, 919, 348, 848, 726, 204, 264, 456, 499, 8116, 348, 848, 726, 1164, 6277, 919, 68, 643, 14, 204, 615, 264, 314, 1198, 275, 919, 1040, 348, 2220, 2828, 204, 264, 456, 499, 8116, 1040, 348, 2220, 2828, 1164, 6277, 919, 68, 765, 14, 204, 615, 264, 314, 1198, 273, 11161, 204, 264, 456, 499, 2118, 1028, 6627, 14047, 332, 41855, 1584, 338, 38164, 431, 204, 204, 461, 4522, 68, 2856, 68, 266, 68, 4814, 13, 13635, 31, 12206, 5379, 25619, 17, 5156, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 30964, 2828, 292, 275, 2752, 974, 275, 12770, 10780, 19, 204, 204, 264, 457, 31, 204, 264, 10780, 322, 9501, 5379, 25619, 330, 334, 12770, 10780, 19, 204, 264, 5156, 68, 546, 322, 325, 330, 334, 790, 4636, 1445, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 832, 311, 275, 919, 2752, 19, 204, 264, 320, 204, 264, 314, 968, 2363, 2828, 311, 4522, 204, 264, 2363, 68, 2856, 289, 10780, 19, 9005, 32932, 13, 45642, 68, 5689, 34, 1021, 17, 26989, 68, 9514, 34, 1021, 14, 204, 615, 264, 314, 968, 275, 537, 329, 919, 2752, 3630, 204, 264, 537, 68, 4814, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 12762, 68, 546, 17, 388, 481, 20, 747, 68, 7706, 14000, 19, 26068, 431, 204, 264, 919, 68, 4814, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 12762, 68, 546, 17, 388, 2826, 20, 9514, 68, 5689, 68, 14779, 431, 204, 615, 264, 314, 9557, 2363, 2828, 497, 275, 2752, 204, 264, 2752, 68, 546, 289, 10780, 19, 11283, 9005, 32932, 7374, 9501, 13, 204, 268, 2363, 68, 2856, 34, 5010, 68, 2856, 17, 204, 268, 537, 68, 553, 68, 546, 34, 768, 68, 4814, 68, 546, 17, 204, 268, 919, 68, 553, 68, 546, 34, 1420, 68, 4814, 68, 546, 17, 204, 268, 6710, 68, 558, 68, 4397, 34, 23, 17, 716, 268, 711, 68, 10404, 34, 1021, 17, 204, 268, 841, 68, 1669, 68, 2539, 34, 1616, 68, 4814, 68, 1669, 204, 264, 1179, 204, 615, 264, 407, 2752, 68, 546, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 3416, 719, 275, 2752, 726, 10780, 329, 45717, 2828, 292, 275, 2752, 19, 204, 264, 320, 204, 264, 314, 763, 275, 790, 4636, 1445, 204, 264, 5156, 68, 546, 289, 1127, 19, 14702, 374, 204, 615, 264, 314, 1359, 719, 275, 2752, 726, 10780, 204, 264, 10780, 289, 3219, 68, 4814, 68, 1386, 68, 13635, 13, 12762, 68, 546, 14, 204, 615, 264, 314, 9557, 2828, 292, 275, 2752, 204, 264, 2752, 68, 546, 289, 4522, 68, 2856, 68, 266, 68, 4814, 13, 13635, 17, 5156, 68, 546, 14, 204, 615, 264, 314, 1198, 275, 919, 2752, 832, 204, 264, 456, 499, 8116, 12206, 2621, 2180, 2752, 68, 546, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 22, 19, 14341, 41743, 12322, 472, 494, 517, 322, 416, 313, 7229, 29548, 14, 18238, 3117, 353, 283, 494, 517, 329, 48865, 4037, 1194, 3117, 496, 1742, 16017, 336, 521, 3714, 83, 292, 497, 11342, 302, 6172, 5501, 19, 26689, 872, 618, 2964, 18385, 275, 2712, 1283, 2249, 46621, 19899, 27846, 329, 2249, 46621, 19899, 1673, 3747, 17, 9381, 18, 17477, 1588, 17, 329, 39875, 292, 12686, 36, 3665, 618, 19, 204, 7002, 11370, 3117, 36, 1547, 36403, 6397, 4440, 19, 204, 23, 19, 14341, 41743, 12322, 34051, 281, 322, 416, 313, 7229, 29548, 14, 3837, 1631, 444, 3252, 31, 6434, 391, 25635, 11337, 311, 3114, 33725, 19, 4168, 1583, 273, 401, 8078, 4308, 5506, 2765, 36, 4168, 872, 9314, 3891, 292, 497, 685, 302, 275, 32134, 10546, 19, 45649, 17985, 292, 7751, 48865, 2765, 1330, 872, 21653, 2964, 21650, 1169, 292, 1233, 521, 931, 5869, 582, 5515, 5256, 348, 1163, 18385, 311, 444, 273, 13844, 22260, 4843, 496, 353, 24479, 2444, 934, 7175, 440, 496, 1043, 28397, 302, 275, 7751, 19, 38143, 22561, 3210, 10682, 7751, 3483, 17, 440, 830, 275, 355, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19461, 344, 329, 6465, 27616, 496, 814, 24079, 490, 19, 204, 24, 19, 14341, 41743, 33797, 16033, 28457, 16770, 33274, 32424, 11342, 302, 6172, 1429, 3117, 353, 41225, 36, 7054, 11337, 311, 273, 5348, 8318, 27050, 348, 273, 5680, 35856, 302, 32489, 19, 13792, 348, 14724, 1415, 1696, 13510, 329, 15836, 9104, 11845, 329, 2796, 732, 311, 14792, 1214, 3117, 677, 8543, 5800, 19, 204, 25, 19, 14341, 41743, 8689, 8347, 11418, 11036, 2343, 21242, 1368, 416, 673, 8543, 2717, 302, 1273, 872, 3117, 7336, 497, 353, 16599, 1194, 1163, 388, 28930, 27050, 3343, 4596, 19423, 8836, 15859, 329, 7514, 14392, 311, 1273, 872, 5794, 17, 872, 1340, 6618, 4935, 1368, 416, 329, 5970, 2817, 292, 1214, 1864, 19, 204, 26, 19, 14341, 41743, 26505, 2178, 11554, 21696, 673, 14645, 3214, 1422, 529, 1283, 1214, 3117, 677, 2139, 329, 1214, 1435, 275, 2202, 9151, 1422, 353, 302, 26163, 19, 11240, 17, 1330, 872, 2379, 1273, 1214, 3117, 7336, 497, 329, 1415, 18300, 490, 17, 872, 2379, 273, 6273, 1182, 1465, 496, 3117, 19, 11982, 275, 318, 19, 42521, 19806, 292, 12984, 714, 292, 12250, 382, 16084, 275, 12984, 714, 292, 2745, 42142, 867, 7399, 2404, 382, 16084, 490, 867, 15859, 292, 16414, 342, 11151, 560, 273, 23910, 382, 16084, 17, 329, 17, 448, 30708, 17, 496, 490, 11076, 2964, 3891, 497, 12654, 43742, 11151, 1273, 275, 19806, 867, 19, 322, 673, 6121, 1784, 874, 10365, 292, 4036, 4440, 31, 397, 275, 19806, 2080, 1742, 292, 16414, 342, 11151, 5976, 17, 382, 1784, 874, 3556, 311, 15437, 496, 35856, 302, 44808, 329, 38863, 1873, 275, 47484, 19501, 204, 27, 19, 14341, 41743, 20881, 8800, 14341, 42249, 39778, 10811, 440, 3221, 14724, 17, 41862, 17, 329, 1838, 360, 640, 329, 22561, 18, 29828, 2893, 5721, 1288, 329, 19004, 830, 29261, 3671, 311, 2941, 17, 4636, 311, 2270, 1214, 3221, 11257, 5976, 302, 2545, 38978, 1048, 311, 273, 33818, 292, 3161, 3226, 17, 1259, 17, 521, 3477, 19, 4682, 275, 3117, 6315, 1924, 14645, 8650, 17, 1182, 302, 275, 5132, 872, 13133, 20733, 311, 636, 311, 275, 1880, 9104, 490, 19, 204, 1449, 1895, 275, 16933, 3221, 7591, 5800, 440, 1214, 3117, 9307, 17, 9605, 685, 25498, 1415, 2761, 1017, 7809, 273, 9843, 19881, 329, 6296, 4361, 16760, 292, 1017, 6160, 19, 204, 28, 19, 14341, 41743, 26505, 2178, 13702, 3159, 18238, 8836, 838, 3114, 8372, 302, 8836, 2755, 19, 24128, 375, 1415, 1523, 5698, 18, 15288, 16700, 8052, 322, 40, 4688, 88, 659, 11327, 630, 14724, 12, 18431, 17, 329, 1308, 3221, 19004, 874, 275, 7549, 329, 275, 2886, 348, 17863, 1182, 3003, 302, 6626, 329, 25214, 19, 26689, 25755, 94, 92, 1224, 17, 15438, 45936, 17, 329, 480, 5536, 5166, 1286, 5976, 302, 388, 3990, 20996, 3343, 204, 29, 19, 14341, 41743, 666, 18284, 41328, 299, 1273, 1214, 3117, 353, 497, 21443, 872, 311, 275, 1880, 1415, 980, 329, 3437, 490, 19, 13472, 302, 5701, 273, 2875, 3633, 582, 633, 273, 5348, 2234, 13242, 582, 16804, 2390, 5406, 7369, 311, 1182, 3117, 6651, 31, 44071, 630, 275, 14724, 12, 6223, 17, 275, 3221, 21819, 10555, 17, 1214, 10551, 1101, 3298, 17, 275, 401, 18, 760, 496, 29595, 3221, 12207, 17, 273, 3221, 48584, 5733, 496, 622, 26872, 13214, 19, 204, 42, 1070, 22561, 36, 1547, 21443, 872, 311, 273, 5658, 2688, 19, 0, 10020, 14171, 30030, 460, 6111, 6613, 16076, 6677, 16174, 7221, 5562, 12030, 23932, 3049, 4856, 1390, 408, 13444, 32107, 5562, 12030, 3988, 22217, 460, 36009, 26636, 1776, 408, 4762, 11329, 2844, 14858, 5335, 9081, 408, 43898, 5626, 1111, 7782, 8552, 19165, 725, 17394, 12030, 460, 25281, 568, 204, 11746, 36009, 8552, 19165, 28207, 14515, 831, 43781, 7997, 5196, 18118, 2677, 13440, 26636, 10126, 3004, 37709, 5562, 8181, 10412, 32107, 460, 26636, 1776, 29105, 5626, 1111, 20287, 460, 7997, 5196, 1227, 18583, 5196, 568, 204, 28388, 23806, 831, 1390, 13901, 2299, 408, 5921, 23073, 4348, 9784, 408, 2405, 3841, 3079, 24736, 408, 4615, 6744, 2853, 2853, 41591, 568, 204, 36626, 2999, 5196, 460, 2857, 27638, 14183, 226, 10952, 6677, 9756, 3684, 40340, 408, 21343, 30193, 29785, 408, 31272, 12625, 10020, 2174, 5873, 3139, 226, 11107, 408, 22501, 921, 12568, 30193, 725, 7267, 30193, 725, 11215, 30193, 3283, 3183, 36626, 32107, 5562, 12030, 23932, 3049, 4856, 460, 25281, 408, 7059, 7238, 2894, 921, 12568, 30193, 5562, 12030, 12030, 13901, 25746, 9594, 4640, 7764, 25746, 3362, 408, 17576, 1670, 11152, 41921, 3304, 5335, 5579, 17576, 460, 36009, 26636, 568, 204, 44312, 388, 226, 5335, 5579, 17576, 388, 226, 5002, 5562, 12030, 3784, 408, 18824, 20421, 12999, 5264, 23932, 4856, 1390, 1670, 2299, 32566, 460, 32107, 26636, 7388, 6589, 5159, 6613, 6969, 14183, 226, 3169, 19874, 8892, 40340, 408, 15289, 41824, 34083, 11553, 460, 22530, 44813, 568, 204, 3169, 19874, 8892, 40340, 13797, 30193, 887, 226, 2903, 5773, 226, 2544, 29785, 408, 854, 8662, 1390, 24165, 1638, 43190, 8088, 41921, 3304, 17576, 480, 312, 95, 226, 5335, 5579, 725, 1946, 2386, 2615, 13901, 17576, 13298, 226, 5335, 5579, 725, 2638, 2615, 13901, 5335, 5579, 17576, 39020, 3546, 408, 5958, 9025, 13440, 26636, 2857, 42775, 3380, 3032, 111, 9238, 408, 9827, 2894, 47729, 2386, 17576, 4005, 366, 441, 18603, 36009, 26636, 568, 204, 5890, 4044, 28901, 5335, 5579, 17576, 408, 1603, 36009, 26636, 460, 2006, 32620, 3784, 408, 9189, 17437, 3464, 7678, 27042, 39642, 568, 204, 26334, 32868, 2402, 16553, 2494, 2494, 408, 2498, 4805, 4846, 42810, 7764, 1251, 9006, 4856, 35356, 15355, 1822, 5522, 17096, 3784, 21224, 408, 2094, 6299, 31217, 568, 204, 3169, 19874, 8892, 40340, 2905, 226, 11107, 3878, 1565, 408, 49006, 5264, 7509, 4856, 17394, 12030, 1390, 17576, 1670, 1946, 2386, 5335, 5579, 17576, 1227, 1946, 2638, 2615, 13901, 5335, 5579, 17576, 568, 204, 6079, 22501, 921, 26456, 3362, 2853, 1984, 204, 7, 226, 8780, 26636, 2657, 17576, 5335, 5579, 408, 5282, 26636, 10368, 2657, 4134, 42874, 2891, 24165, 568, 7, 204, 3169, 19874, 8892, 40340, 460, 26170, 408, 11597, 13265, 6079, 387, 2020, 70, 226, 34320, 34320, 568, 831, 4684, 2999, 3788, 2564, 28399, 6079, 408, 26036, 17718, 40340, 17615, 4518, 1251, 568, 204, 11152, 18721, 18721, 854, 21517, 4684, 5485, 23050, 408, 921, 12723, 7544, 23352, 7228, 40897, 26456, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3362, 7512, 4239, 21097, 1946, 39389, 1984, 204, 34320, 34320, 5335, 11107, 6776, 12030, 13901, 408, 36094, 1764, 10990, 16670, 17928, 17678, 568, 1641, 226, 11107, 1398, 408, 5643, 22238, 10536, 4730, 408, 25460, 21342, 1524, 32107, 408, 1258, 226, 11107, 6776, 36781, 16904, 48192, 12030, 27946, 23150, 3169, 3178, 14183, 226, 5776, 9216, 11587, 21161, 17678, 568, 204, 5776, 9216, 11587, 21161, 4241, 39918, 2894, 16904, 48192, 12030, 26636, 408, 13210, 13457, 1811, 2989, 226, 3183, 7221, 16302, 460, 17624, 6613, 41717, 18251, 40340, 408, 1227, 17888, 5264, 23932, 4856, 1390, 36626, 2999, 5196, 460, 2857, 27638, 14183, 226, 10952, 6677, 9756, 3684, 40340, 408, 204, 32748, 27946, 1254, 17678, 14787, 11624, 6076, 408, 5659, 26636, 4197, 5173, 7780, 3774, 4409, 408, 4821, 2386, 20587, 31738, 408, 30496, 2386, 9893, 1670, 1822, 30061, 21826, 408, 854, 21517, 17746, 9406, 568, 204, 4015, 1527, 408, 5562, 3411, 5282, 7409, 4002, 40760, 11264, 5562, 12030, 460, 13850, 3362, 3013, 2494, 16314, 8356, 1811, 408, 5562, 12030, 6583, 3606, 13901, 45094, 3380, 29022, 8807, 15967, 408, 2299, 1926, 18370, 9107, 30911, 1871, 408, 11436, 2494, 34918, 32566, 11618, 568, 204, 27946, 2065, 26636, 30542, 388, 226, 2738, 5629, 2738, 13816, 388, 408, 26636, 30542, 11567, 408, 6371, 4268, 4747, 1227, 18816, 24553, 568, 204, 1565, 15130, 460, 34320, 34320, 408, 2675, 2382, 1970, 9398, 1111, 13688, 5932, 3362, 568, 6079, 921, 26456, 3362, 22501, 2853, 408, 48771, 3994, 26329, 942, 10019, 408, 3038, 6445, 7678, 8285, 2098, 2822, 10211, 12821, 460, 2098, 3031, 1116, 568, 204, 2300, 725, 26, 226, 11107, 14081, 1251, 1116, 408, 11292, 29699, 6371, 20247, 568, 204, 20247, 460, 32566, 41499, 408, 30099, 2773, 23632, 2065, 10135, 13375, 460, 17678, 568, 204, 3064, 1991, 254, 39116, 460, 17576, 4499, 32868, 408, 1524, 3064, 4265, 22129, 25746, 3362, 8088, 27930, 11152, 5335, 5579, 17576, 408, 34320, 34320, 3429, 12067, 2905, 226, 11107, 35018, 2564, 3774, 1822, 2006, 34918, 11796, 408, 32577, 10536, 21937, 568, 6079, 921, 26456, 3362, 2853, 1984, 204, 7, 23807, 1438, 26311, 2564, 2411, 25460, 408, 3038, 35151, 19446, 2402, 38470, 1527, 3994, 568, 7, 204, 6079, 5227, 5335, 5579, 17576, 46668, 39671, 17678, 408, 5216, 5522, 5216, 1390, 408, 5216, 47468, 5216, 17437, 408, 921, 6049, 32868, 13047, 3362, 2402, 5238, 248, 460, 35628, 8331, 408, 10272, 3183, 25746, 3362, 24022, 408, 1886, 13987, 8383, 17236, 13956, 8085, 10904, 8088, 2014, 8706, 21826, 408, 7527, 249, 7527, 249, 776, 238, 776, 238, 12816, 568, 204, 16626, 408, 22, 226, 6377, 14478, 18603, 6908, 235, 2382, 34467, 26006, 408, 3183, 3183, 2402, 4035, 6523, 4640, 9065, 8088, 21826, 408, 2949, 2729, 14269, 38203, 568, 2300, 226, 11107, 3878, 1565, 921, 8892, 22655, 7388, 5264, 7509, 4856, 1390, 9850, 8088, 11152, 5335, 5579, 17576, 1946, 408, 6079, 24554, 6807, 3028, 13309, 238, 3152, 408, 36626, 2999, 5196, 568, 204, 5643, 44290, 3183, 34083, 33183, 408, 32748, 1421, 109, 3203, 241, 460, 5335, 5579, 17576, 28388, 23806, 44813, 408, 47811, 10272, 5562, 12030, 26636, 460, 8915, 408, 8695, 30524, 13440, 460, 32908, 1401, 3455, 47403, 568, 204, 32908, 1401, 3455, 47403, 460, 5335, 5579, 17576, 408, 35703, 6076, 13901, 20767, 831, 8807, 568, 204, 8131, 30193, 1398, 408, 2218, 1227, 18824, 38940, 36620, 12030, 13901, 15306, 29426, 48192, 12030, 11254, 460, 34320, 34320, 5284, 1111, 1999, 568, 204, 26406, 10236, 32868, 408, 26562, 1946, 2638, 2615, 13901, 5335, 5579, 17576, 568, 204, 31200, 25473, 31200, 408, 25731, 4987, 5002, 20469, 1111, 568, 204, 11448, 408, 22143, 7617, 13797, 30193, 1670, 19166, 34467, 26006, 408, 10282, 45094, 30556, 3464, 2638, 12166, 408, 13507, 7386, 15877, 34320, 34320, 408, 11691, 3079, 2807, 5629, 21244, 460, 39096, 39096, 44813, 568, 204, 34320, 34320, 28241, 942, 3283, 3879, 21244, 408, 8695, 41329, 3028, 13265, 313, 4732, 18603, 14902, 40340, 40340, 408, 13987, 36781, 6079, 3601, 13901, 2299, 17678, 568, 204, 6079, 11597, 4264, 313, 4732, 226, 4795, 1390, 8612, 2174, 3131, 460, 3069, 253, 2455, 408, 8075, 21244, 2455, 854, 6079, 2570, 23274, 10019, 568, 204, 11746, 14902, 40340, 40340, 408, 34320, 34320, 9189, 41329, 14966, 6642, 10603, 1227, 41329, 15385, 2766, 11114, 18021, 568, 204, 1438, 3879, 3028, 13265, 480, 6495, 18603, 11114, 18021, 43753, 408, 854, 6079, 921, 12568, 30193, 7221, 22698, 23932, 3049, 4856, 8088, 24165, 3283, 5579, 7814, 17576, 1946, 408, 30497, 19642, 15097, 7573, 4264, 21517, 46086, 568, 204, 16626, 408, 17678, 1227, 5928, 2402, 42383, 831, 42080, 3419, 10092, 1398, 408, 16107, 460, 34320, 34320, 17013, 17165, 18207, 42135, 9107, 14650, 568, 204, 32107, 23932, 3049, 4856, 1390, 408, 6079, 3468, 17576, 3283, 5579, 7814, 408, 5851, 921, 36777, 5335, 5579, 17576, 1191, 5238, 248, 13956, 568, 204, 9678, 23932, 4856, 1390, 36698, 8088, 11152, 5335, 5579, 17576, 408, 5612, 1524, 39673, 4821, 6347, 3684, 6111, 10106, 27638, 6908, 233, 1227, 10952, 6677, 9756, 3684, 40340, 9238, 568, 204, 26, 226, 2903, 1398, 408, 34320, 34320, 21141, 1227, 48827, 30719, 27946, 5776, 9216, 11587, 21161, 1789, 3031, 15780, 2203, 117, 568, 204, 34575, 2853, 408, 32107, 48192, 12030, 408, 9555, 7296, 12326, 2382, 5562, 1776, 1689, 408, 27946, 7059, 2822, 2807, 2822, 12135, 610, 568, 7872, 19874, 7796, 3684, 388, 226, 7872, 17983, 388, 18603, 12812, 5340, 10260, 408, 40550, 3079, 24736, 1550, 40150, 568, 204, 2402, 9884, 14708, 12723, 1456, 2999, 5196, 408, 3283, 12999, 5264, 23932, 4856, 25281, 408, 12190, 12999, 9678, 23932, 4856, 25281, 408, 44160, 7238, 2894, 921, 11254, 3362, 47729, 2638, 2615, 13901, 5335, 5579, 17576, 465, 226, 1946, 2638, 2615, 13901, 3283, 5579, 17576, 465, 226, 1946, 2638, 17576, 4004, 5579, 19935, 48192, 12030, 26636, 568, 204, 5335, 5579, 17576, 2382, 5562, 4499, 1524, 5335, 5579, 17576, 49060, 460, 3028, 1926, 408, 34320, 34320, 2853, 408, 7872, 19874, 7796, 3684, 28010, 19880, 6079, 408, 13987, 42114, 12744, 1390, 13901, 23362, 1390, 2299, 14062, 408, 8824, 1002, 15615, 568, 204, 2253, 7872, 17983, 921, 12723, 7544, 23352, 7228, 40897, 460, 26456, 3362, 1886, 8075, 408, 34320, 34320, 854, 2218, 2675, 1189, 2356, 47001, 37491, 460, 25456, 408, 6371, 8270, 33484, 568, 204, 2218, 2778, 23316, 408, 2675, 3131, 2174, 34320, 34320, 921, 42360, 14708, 12723, 30000, 12148, 568, 204, 10282, 7712, 1111, 19880, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7413, 27946, 408, 23582, 854, 26836, 11798, 1990, 2849, 408, 2498, 5643, 43968, 11808, 460, 11436, 408, 34320, 34320, 921, 17888, 460, 5264, 23932, 4856, 1390, 408, 8552, 19165, 3362, 7617, 942, 5238, 248, 13956, 6817, 11952, 408, 10961, 40550, 7, 226, 46981, 388, 1111, 1550, 40150, 568, 204, 11448, 6079, 24257, 10476, 1390, 408, 921, 17394, 12030, 32577, 11152, 5335, 5579, 17576, 2677, 23009, 20394, 942, 6817, 11952, 5238, 248, 13956, 10412, 10747, 10984, 7756, 18583, 5196, 568, 204, 5238, 248, 13956, 2494, 1550, 408, 22363, 3419, 13150, 10088, 408, 2314, 226, 11107, 15416, 408, 8241, 5335, 5579, 17576, 460, 34320, 34320, 408, 17452, 32441, 568, 204, 2253, 5562, 12030, 36534, 3380, 29022, 8807, 15967, 460, 13901, 1390, 11618, 408, 1227, 32164, 26636, 1776, 1189, 2356, 17271, 41231, 460, 17437, 29235, 408, 1886, 19275, 2433, 13769, 13665, 242, 6039, 231, 568, 204, 19279, 42360, 14708, 12723, 1456, 408, 30416, 16076, 3380, 5282, 1776, 4565, 2684, 122, 3841, 1527, 4134, 204, 5851, 26752, 44432, 2449, 4134, 1572, 1251, 8325, 31861, 13251, 47281, 9157, 20345, 16309, 8466, 1604, 256, 6511, 1111, 30697, 10023, 1001, 204, 33532, 4136, 29084, 47525, 3064, 9594, 11563, 2112, 3812, 5843, 6677, 12175, 1002, 5873, 1111, 4134, 204, 26781, 39671, 1971, 15877, 24165, 9477, 3523, 1550, 9385, 408, 9467, 1689, 1773, 25175, 11751, 5673, 15444, 3675, 20661, 11436, 1341, 100, 4129, 568, 204, 0, 17707, 1872, 18920, 204, 204, 31676, 273, 14654, 292, 2817, 19, 828, 273, 2955, 353, 20835, 630, 1051, 1136, 17, 275, 14654, 1120, 1855, 11774, 329, 13541, 19, 334, 5657, 3459, 1465, 275, 14654, 677, 3466, 302, 3284, 17, 1335, 275, 3466, 302, 3284, 5398, 6315, 292, 273, 7619, 19, 204, 204, 1449, 3822, 275, 5816, 302, 5657, 329, 7619, 17, 572, 1519, 311, 38629, 275, 8348, 2955, 2450, 1025, 970, 4550, 31, 204, 204, 22, 19, 332, 4781, 496, 11669, 1924, 275, 3466, 302, 3284, 322, 7206, 14, 302, 275, 14654, 17, 928, 8095, 4281, 1872, 5816, 19, 204, 23, 19, 332, 4781, 10066, 311, 275, 27247, 17, 928, 8095, 5657, 19, 204, 204, 673, 4781, 1924, 275, 27247, 6401, 275, 4281, 1872, 5816, 17, 1335, 275, 904, 4781, 2666, 275, 1759, 311, 275, 27247, 6401, 275, 15942, 496, 8095, 5657, 19, 204, 204, 3070, 1763, 17, 2506, 273, 22251, 2070, 440, 273, 3284, 302, 435, 5279, 329, 273, 1277, 302, 931, 6166, 17, 440, 273, 1656, 322, 25, 5279, 14, 630, 848, 1136, 19, 334, 2955, 20835, 523, 275, 6745, 72, 7176, 1784, 444, 275, 1066, 302, 275, 3093, 31, 435, 76, 465, 681, 76, 465, 681, 76, 19, 204, 204, 3719, 275, 22251, 2070, 6401, 36449, 329, 7036, 311, 11774, 17, 275, 2955, 523, 275, 6745, 72, 7176, 1784, 2652, 19, 1765, 1014, 17, 397, 1051, 12890, 28635, 435, 5279, 17, 275, 12218, 2955, 523, 275, 6745, 72, 7176, 1784, 444, 435, 465, 435, 465, 435, 17, 329, 275, 25067, 2955, 322, 28256, 14, 1784, 444, 435, 19, 204, 204, 673, 7619, 2955, 618, 444, 3392, 448, 275, 5422, 2955, 13576, 275, 25067, 5353, 17, 928, 9329, 275, 12218, 2955, 19, 592, 275, 1322, 302, 437, 36449, 2955, 17, 275, 7619, 2955, 1784, 508, 444, 2962, 17, 448, 275, 2955, 353, 508, 12218, 19, 0, 461, 1900, 68, 5457, 68, 48181, 13, 5231, 68, 3485, 31, 421, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 6071, 275, 2510, 2355, 302, 886, 497, 368, 311, 275, 800, 3482, 2689, 19, 204, 204, 264, 457, 31, 204, 268, 3482, 68, 3485, 322, 339, 330, 334, 3482, 2689, 302, 275, 933, 302, 886, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 2510, 16685, 448, 3157, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 311, 1900, 2510, 16685, 204, 264, 2510, 68, 48181, 289, 551, 3539, 13, 1976, 68, 1190, 5604, 23, 5853, 348, 790, 68, 1190, 292, 933, 13, 22, 17, 3482, 68, 3485, 465, 368, 2395, 204, 264, 407, 2510, 68, 48181, 204, 204, 461, 456, 68, 5457, 68, 48181, 13, 5457, 68, 48181, 31, 458, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2510, 16685, 19, 204, 204, 264, 457, 31, 204, 268, 2510, 68, 48181, 322, 655, 64, 325, 1037, 332, 458, 302, 2510, 16685, 448, 3157, 19, 204, 264, 320, 204, 264, 314, 1974, 5157, 311, 16346, 2510, 16685, 440, 5685, 204, 264, 456, 611, 3759, 1541, 13, 5457, 68, 48181, 602, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 4143, 275, 542, 302, 683, 2910, 329, 275, 3482, 2689, 348, 848, 683, 1322, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 542, 302, 683, 2910, 329, 275, 3482, 2689, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 771, 68, 804, 68, 3871, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 305, 397, 771, 68, 804, 68, 3871, 2186, 500, 31, 204, 485, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 485, 3524, 204, 305, 2280, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 615, 264, 3482, 68, 12456, 289, 1306, 204, 264, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 3482, 68, 3485, 289, 421, 13, 768, 499, 2101, 275, 3482, 2689, 31, 4091, 204, 485, 397, 3482, 68, 3485, 2186, 500, 31, 204, 895, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 895, 3524, 204, 485, 3482, 68, 12456, 19, 1223, 13, 5231, 68, 3485, 14, 204, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 615, 264, 407, 771, 68, 804, 68, 3871, 17, 3482, 68, 12456, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4143, 275, 542, 302, 683, 2910, 329, 275, 3482, 2689, 348, 848, 683, 1322, 17, 716, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 12015, 275, 2510, 2355, 302, 886, 292, 275, 800, 933, 17, 716, 264, 329, 5538, 275, 2510, 16685, 19, 204, 264, 320, 204, 264, 771, 68, 804, 68, 3871, 17, 3482, 68, 12456, 289, 636, 68, 816, 68, 768, 374, 204, 264, 348, 296, 17, 3482, 68, 3485, 292, 3209, 13, 5231, 68, 12456, 17, 1012, 34, 22, 330, 204, 268, 456, 13, 75, 7, 2346, 11846, 463, 78, 18594, 204, 268, 2510, 68, 48181, 289, 1900, 68, 5457, 68, 48181, 13, 5231, 68, 3485, 14, 204, 268, 456, 68, 5457, 68, 48181, 13, 5457, 68, 48181, 14, 204, 268, 456, 374, 226, 314, 17970, 1007, 348, 4037, 12996, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 2935, 353, 273, 42784, 36, 204, 204, 38, 9770, 353, 273, 1007, 496, 26023, 273, 5825, 630, 1698, 1051, 917, 19, 1547, 677, 508, 1085, 302, 275, 5825, 17, 1101, 6216, 2842, 26023, 490, 19, 2416, 3126, 808, 3773, 17, 2506, 8374, 273, 1007, 497, 1169, 904, 917, 523, 275, 5825, 19, 1058, 1007, 1784, 4260, 4393, 275, 5825, 322, 403, 490, 677, 4166, 275, 917, 523, 275, 5825, 14, 521, 508, 11108, 490, 630, 830, 322, 403, 490, 677, 5084, 275, 917, 523, 275, 5825, 789, 204, 204, 658, 11449, 353, 275, 42784, 6581, 36, 204, 204, 673, 9770, 353, 2220, 2404, 490, 677, 275, 1698, 1007, 496, 618, 11108, 273, 5825, 630, 2842, 1051, 917, 19, 1058, 31870, 5814, 490, 11897, 292, 8605, 329, 17098, 19, 1765, 1014, 17, 292, 17098, 17, 12701, 529, 3667, 3392, 974, 275, 9770, 1007, 17, 448, 490, 4954, 1440, 1662, 273, 741, 3731, 630, 273, 4539, 917, 19, 204, 204, 658, 12819, 275, 42784, 6088, 204, 204, 1449, 1020, 275, 9770, 917, 17, 872, 618, 732, 275, 5442, 302, 273, 741, 19, 334, 5442, 10335, 1662, 273, 741, 3731, 630, 273, 2824, 917, 17, 329, 275, 9770, 1007, 353, 275, 2765, 2501, 311, 8603, 808, 2652, 19, 4596, 6432, 275, 5442, 302, 273, 741, 630, 273, 4539, 917, 17, 872, 618, 3822, 275, 9770, 1007, 19, 204, 204, 658, 3970, 16361, 14614, 37396, 698, 204, 204, 18, 332, 9770, 26023, 273, 5825, 630, 1698, 1051, 917, 19, 204, 18, 1547, 353, 508, 1085, 302, 275, 5825, 19, 204, 18, 334, 9770, 353, 2220, 348, 848, 917, 523, 275, 5825, 19, 204, 18, 1547, 677, 6456, 292, 8605, 329, 17098, 17, 6469, 348, 8397, 12701, 19, 204, 204, 658, 30333, 88, 204, 204, 1380, 2935, 353, 6581, 14614, 275, 42784, 27134, 36, 204, 204, 673, 9770, 353, 2220, 2404, 490, 26023, 273, 5825, 630, 2842, 1051, 917, 17, 4461, 490, 14636, 292, 8605, 329, 17098, 19, 204, 204, 1380, 2935, 16274, 388, 57, 20979, 630, 273, 6088, 7, 9664, 36, 204, 204, 3837, 3210, 273, 1007, 496, 26023, 273, 5825, 630, 273, 2824, 917, 17, 508, 21900, 490, 521, 27176, 490, 630, 1169, 904, 917, 19, 204, 204, 1380, 2026, 3899, 3665, 1752, 275, 42784, 6088, 36, 204, 204, 5009, 1020, 275, 9770, 917, 560, 974, 275, 5442, 302, 273, 741, 630, 273, 2824, 917, 17, 928, 7894, 8603, 275, 2652, 292, 275, 741, 630, 496, 917, 19, 204, 204, 1380, 2935, 16274, 42784, 9664, 292, 20869, 36, 204, 204, 38, 9770, 353, 273, 1007, 496, 26023, 273, 5825, 630, 1051, 917, 2900, 21900, 490, 17, 10974, 273, 6793, 4263, 292, 5384, 14299, 329, 3263, 292, 8605, 329, 17098, 19, 0, 22009, 6829, 5186, 42080, 4574, 25722, 23362, 226, 24136, 104, 39141, 19, 473, 226, 7420, 5485, 1984, 61, 37543, 204, 3169, 3632, 24136, 104, 6996, 13359, 46382, 226, 14252, 252, 3788, 226, 5110, 41774, 2152, 226, 24136, 104, 6996, 19, 473, 226, 7420, 5485, 1984, 38, 2314, 1909, 204, 41653, 2098, 6112, 226, 31802, 6281, 5727, 2324, 12623, 226, 20814, 22938, 2152, 226, 24136, 104, 29378, 19, 473, 226, 7420, 5485, 1984, 38, 1845, 7298, 204, 22, 725, 8780, 6642, 25722, 2638, 8706, 408, 4587, 3602, 27489, 408, 12646, 4532, 3541, 1432, 3796, 1189, 4035, 4532, 42504, 408, 6371, 942, 3622, 568, 204, 23, 725, 5801, 3774, 7720, 3622, 3419, 12646, 408, 1438, 3151, 28199, 10513, 8760, 5463, 1390, 7814, 3774, 36080, 568, 204, 24, 725, 17565, 15124, 14269, 46523, 408, 18974, 13380, 6371, 27489, 408, 26143, 19185, 2065, 26771, 17565, 460, 23072, 1886, 14269, 7763, 5637, 568, 204, 25, 725, 22477, 2321, 8746, 23823, 408, 3675, 1438, 3151, 28199, 5463, 13011, 3183, 226, 11026, 46934, 27489, 568, 204, 26, 725, 3500, 1505, 37440, 921, 17613, 2366, 12646, 600, 256, 408, 12646, 600, 256, 460, 21938, 5949, 1955, 6553, 3491, 6371, 37440, 568, 204, 27, 725, 3500, 1505, 2174, 408, 27727, 19193, 600, 256, 408, 1946, 2110, 28138, 568, 13150, 4532, 408, 4532, 4304, 1227, 40148, 4304, 7678, 4906, 47425, 1999, 3407, 568, 204, 28, 725, 23072, 6281, 4465, 12350, 408, 12924, 15916, 15706, 8437, 408, 8324, 235, 35136, 3602, 45242, 568, 204, 27292, 1984, 2675, 18649, 11308, 12646, 568, 38827, 12744, 12722, 8188, 568, 204, 0, 24013, 8010, 17220, 3593, 109, 24608, 3152, 46888, 14081, 25522, 38470, 4250, 13035, 8188, 11620, 408, 921, 2366, 3500, 24013, 8010, 17220, 3593, 109, 20076, 1345, 4239, 48898, 24608, 1946, 921, 13397, 23078, 408, 921, 24608, 39212, 9878, 408, 6444, 2034, 2615, 1345, 3064, 6553, 6791, 4499, 1579, 2791, 6444, 408, 27636, 17220, 3593, 109, 12054, 460, 8010, 5186, 1456, 32684, 460, 4232, 29105, 3013, 17220, 14525, 9784, 408, 10852, 24608, 1524, 12054, 16873, 21220, 3464, 13397, 33325, 32, 204, 25767, 5227, 24608, 5844, 17220, 3593, 109, 4224, 1899, 10020, 13250, 5844, 22640, 2321, 3362, 21210, 13397, 1377, 11152, 12502, 408, 14525, 3451, 126, 1227, 11413, 22822, 15699, 1111, 408, 25767, 15699, 47285, 14322, 4760, 5759, 29539, 1111, 568, 8957, 4788, 26260, 17220, 3593, 109, 1367, 2110, 24013, 8010, 15703, 9158, 1111, 408, 6445, 32483, 41713, 4692, 8957, 4788, 408, 2499, 24608, 27930, 17220, 3593, 109, 1262, 22640, 2321, 21331, 8188, 2321, 13358, 1811, 15113, 1970, 3152, 24013, 8010, 1111, 568, 204, 17220, 3593, 109, 48898, 14515, 4477, 12298, 6899, 226, 3601, 3601, 8684, 7282, 408, 25767, 4762, 34381, 5227, 17220, 3593, 109, 18609, 2110, 408, 2570, 4076, 1345, 27227, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1579, 4004, 14808, 568, 831, 4021, 3879, 460, 17220, 3593, 109, 4224, 16154, 3362, 48898, 24608, 8728, 1456, 45034, 9065, 408, 3362, 6760, 38357, 31217, 24608, 9057, 408, 31217, 9014, 2174, 3131, 460, 24013, 8010, 408, 40428, 12722, 5428, 2673, 104, 30046, 568, 204, 22, 725, 17220, 3593, 109, 24460, 3601, 4477, 12298, 2823, 18609, 2110, 408, 18259, 1946, 4224, 1899, 16154, 1191, 2823, 2235, 21855, 22640, 2321, 408, 40022, 3407, 6224, 1227, 30269, 5349, 12791, 2110, 23, 11259, 408, 47285, 9065, 19658, 2739, 22640, 2321, 3362, 13397, 4228, 17220, 3593, 109, 22640, 9057, 408, 18259, 568, 204, 23, 725, 17220, 3593, 109, 18259, 1946, 4239, 2369, 128, 27769, 12054, 21916, 1789, 408, 25767, 1262, 12674, 29281, 21085, 1227, 4747, 6377, 44302, 10947, 1227, 20741, 6076, 408, 13443, 921, 17220, 3593, 109, 460, 12054, 408, 4762, 2369, 128, 27769, 568, 204, 24, 725, 16154, 1191, 13956, 1899, 7191, 12577, 5351, 12791, 4228, 6245, 9673, 1579, 4250, 408, 33036, 17220, 3593, 109, 1946, 41615, 9830, 1390, 9830, 2455, 408, 24608, 1524, 17220, 3593, 109, 12054, 14187, 46787, 44994, 1398, 47285, 1670, 1634, 104, 5351, 408, 4762, 4224, 1899, 22640, 2321, 2860, 22640, 2321, 3362, 13397, 23078, 22, 12502, 39981, 568, 204, 25, 725, 47285, 9065, 13397, 5844, 17220, 3593, 109, 4224, 1899, 25450, 45057, 460, 26027, 16154, 3362, 408, 6553, 6791, 2110, 17048, 568, 17048, 17220, 3593, 109, 20076, 5227, 30269, 5349, 725, 1251, 47123, 44885, 18997, 725, 40986, 5759, 6107, 725, 4747, 18157, 13871, 725, 18005, 725, 6245, 8562, 9098, 725, 6377, 6224, 725, 1401, 15789, 30045, 5351, 725, 30045, 5351, 725, 8562, 5351, 725, 8766, 19749, 28736, 9098, 725, 4518, 5759, 11318, 15547, 4786, 237, 30045, 1227, 8562, 5351, 10947, 1227, 1579, 3407, 27817, 408, 3445, 1262, 568, 204, 26, 725, 17220, 3593, 109, 17048, 1909, 11259, 23136, 23702, 9830, 2455, 408, 13956, 1899, 3407, 27817, 13150, 23181, 40638, 17048, 24667, 11259, 408, 7769, 232, 6444, 3152, 16154, 568, 204, 0, 647, 8159, 19, 35159, 448, 406, 204, 531, 8159, 532, 800, 204, 531, 273, 15227, 19, 17632, 532, 8703, 17, 490, 74, 204, 204, 461, 838, 68, 768, 68, 1309, 13, 481, 31, 406, 19, 989, 5379, 17, 3806, 31, 458, 64, 325, 694, 393, 1135, 64, 325, 17, 1109, 744, 204, 264, 320, 204, 264, 666, 273, 955, 302, 537, 1019, 348, 275, 800, 3806, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 268, 3806, 322, 655, 64, 325, 1037, 783, 302, 537, 1987, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 64, 325, 17, 1109, 744, 6881, 302, 537, 1019, 19, 204, 264, 320, 204, 264, 314, 666, 273, 955, 302, 537, 1019, 560, 8374, 710, 4340, 640, 497, 275, 424, 726, 204, 264, 407, 463, 768, 68, 417, 31, 424, 19, 3320, 13, 274, 19, 702, 4340, 640, 1447, 348, 537, 68, 417, 292, 3806, 98, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 416, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 9273, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 9273, 2231, 204, 264, 27295, 289, 537, 68, 93, 2343, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 329, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 276, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 9636, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 9636, 2231, 204, 264, 27295, 289, 537, 68, 93, 1152, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 521, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 22633, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 14177, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 14177, 2231, 204, 264, 27295, 289, 537, 68, 93, 11030, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 11030, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 11642, 68, 6211, 13, 481, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 14144, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 14144, 2231, 204, 264, 27295, 289, 537, 68, 93, 564, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 564, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 35672, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 10600, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 10600, 2231, 204, 264, 27295, 289, 537, 68, 93, 19, 35672, 13, 768, 68, 94, 14, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 5796, 1551, 537, 68, 93, 13, 768, 68, 1309, 602, 521, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 33446, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 11829, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 437, 537, 8703, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 615, 264, 314, 666, 437, 11829, 2231, 204, 264, 27295, 289, 12351, 768, 68, 93, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 537, 68, 93, 13, 768, 68, 1309, 14, 564, 322, 1551, 27295, 13, 768, 68, 1309, 602, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 704, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 397, 18, 26440, 18, 24070, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 264, 537, 68, 95, 289, 8703, 611, 768, 68, 95, 534, 204, 615, 264, 314, 666, 437, 397, 18, 26440, 18, 24070, 2231, 204, 264, 27295, 289, 490, 74, 13, 768, 68, 93, 17, 537, 68, 94, 17, 537, 68, 95, 14, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 27295, 13, 768, 68, 1309, 14, 564, 322, 768, 68, 1309, 736, 768, 68, 94, 839, 397, 537, 68, 1309, 736, 768, 68, 93, 839, 902, 537, 68, 1309, 736, 768, 68, 95, 2378, 204, 204, 461, 683, 68, 2004, 68, 1420, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 440, 68, 1420, 1216, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 264, 537, 68, 95, 289, 8703, 611, 768, 68, 95, 534, 204, 615, 264, 314, 666, 437, 397, 18, 26440, 18, 24070, 2231, 440, 919, 204, 264, 27295, 289, 490, 74, 13, 768, 68, 93, 17, 537, 68, 94, 17, 537, 68, 95, 789, 2004, 68, 1420, 611, 15377, 534, 204, 615, 264, 314, 4416, 496, 275, 2231, 869, 275, 1812, 919, 204, 264, 2136, 27295, 19, 2004, 68, 1420, 611, 15377, 534, 204, 204, 461, 683, 68, 4074, 68, 274, 3423, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 3678, 16984, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 9636, 2231, 204, 264, 27295, 22, 289, 537, 68, 93, 1152, 537, 68, 94, 204, 615, 264, 314, 666, 273, 6246, 18, 33843, 2231, 440, 275, 1729, 919, 204, 264, 27295, 23, 289, 322, 10489, 17632, 22, 789, 2004, 68, 1420, 13, 17632, 22, 19, 1420, 14, 204, 615, 264, 314, 4416, 496, 275, 7277, 874, 275, 1729, 3678, 204, 264, 2136, 3678, 13, 17632, 23, 14, 564, 3678, 13, 17632, 22, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 2004, 68, 1420, 374, 204, 264, 683, 68, 4074, 68, 274, 3423, 374, 204, 0, 676, 2541, 9268, 31, 204, 264, 320, 204, 264, 2646, 273, 24847, 440, 4163, 588, 17, 1848, 17, 1302, 17, 329, 2297, 19, 204, 204, 264, 1532, 31, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 588, 322, 325, 330, 334, 588, 302, 275, 24847, 19, 204, 268, 1848, 322, 325, 330, 334, 1848, 302, 275, 24847, 19, 204, 268, 1302, 322, 339, 330, 334, 1302, 302, 275, 24847, 19, 204, 268, 2297, 322, 996, 330, 334, 2297, 302, 275, 24847, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 1848, 31, 394, 17, 1302, 31, 421, 17, 2297, 31, 818, 330, 204, 268, 320, 204, 268, 1865, 273, 2541, 9268, 726, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 24847, 19, 204, 305, 1848, 322, 325, 330, 334, 1848, 302, 275, 24847, 19, 204, 305, 1302, 322, 339, 330, 334, 1302, 302, 275, 24847, 19, 204, 305, 2297, 322, 996, 330, 334, 2297, 302, 275, 24847, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2640, 289, 1848, 204, 268, 370, 19, 835, 289, 1302, 204, 268, 370, 19, 2895, 289, 2297, 204, 204, 264, 436, 636, 68, 4810, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 3695, 302, 275, 24847, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 417, 743, 204, 305, 456, 13, 75, 7, 6580, 31, 463, 327, 19, 2640, 743, 204, 305, 456, 13, 75, 7, 8654, 31, 463, 327, 19, 835, 743, 204, 305, 456, 13, 75, 7, 12998, 31, 9838, 327, 19, 2895, 4567, 23, 75, 743, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 676, 2541, 9268, 12909, 31, 204, 264, 320, 204, 264, 2646, 273, 24847, 1640, 440, 273, 3599, 302, 23377, 19, 204, 204, 264, 1532, 31, 204, 268, 23377, 322, 655, 64, 4872, 9268, 1037, 332, 458, 302, 2541, 9268, 2828, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 2541, 9268, 12909, 726, 19, 204, 268, 320, 204, 268, 370, 19, 823, 8918, 289, 1306, 204, 204, 264, 436, 881, 68, 40677, 13, 327, 17, 24847, 31, 2541, 9268, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 24847, 311, 275, 1640, 19, 204, 204, 268, 457, 31, 204, 305, 24847, 322, 4872, 9268, 330, 334, 24847, 311, 881, 19, 204, 268, 320, 204, 268, 370, 19, 823, 8918, 19, 1223, 13, 40677, 14, 204, 204, 264, 436, 636, 68, 2609, 68, 2895, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3989, 275, 1113, 2297, 302, 830, 23377, 292, 275, 1640, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1113, 2297, 302, 830, 23377, 19, 204, 268, 320, 204, 268, 407, 1066, 13, 40677, 19, 2895, 348, 24847, 292, 370, 19, 823, 8918, 14, 204, 204, 264, 436, 1688, 68, 823, 8918, 68, 1424, 68, 2895, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 14967, 275, 23377, 292, 275, 1640, 560, 2297, 19, 204, 268, 320, 204, 268, 370, 19, 823, 8918, 19, 2975, 13, 644, 34, 3605, 24847, 31, 24847, 19, 2895, 14, 204, 204, 264, 436, 1813, 68, 823, 8918, 13, 327, 17, 588, 31, 394, 289, 443, 17, 1848, 31, 394, 289, 443, 14, 393, 458, 64, 4872, 9268, 744, 204, 268, 320, 204, 268, 20139, 348, 23377, 560, 588, 521, 1848, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 17, 1448, 330, 334, 588, 302, 275, 24847, 311, 1813, 348, 19, 1243, 311, 443, 19, 204, 305, 1848, 322, 325, 17, 1448, 330, 334, 1848, 302, 275, 24847, 311, 1813, 348, 19, 1243, 311, 443, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 4872, 9268, 744, 332, 458, 302, 23377, 496, 2216, 275, 1813, 10939, 19, 204, 268, 320, 204, 268, 407, 551, 40677, 348, 24847, 292, 370, 19, 823, 8918, 397, 322, 417, 353, 443, 521, 24847, 19, 417, 564, 588, 14, 329, 322, 2640, 353, 443, 521, 24847, 19, 2640, 564, 1848, 2395, 204, 204, 264, 436, 456, 68, 823, 8918, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 3695, 302, 830, 23377, 292, 275, 1640, 19, 204, 268, 320, 204, 268, 348, 296, 17, 24847, 292, 3209, 13, 327, 19, 823, 8918, 17, 1012, 34, 22, 330, 204, 305, 456, 13, 75, 7, 4872, 9268, 463, 78, 18594, 204, 305, 24847, 19, 505, 68, 4810, 374, 204, 305, 456, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 24847, 1640, 204, 264, 1640, 289, 2541, 9268, 12909, 374, 204, 204, 264, 314, 666, 23377, 204, 264, 297, 656, 8203, 289, 2541, 9268, 499, 56, 656, 8203, 528, 388, 20298, 528, 1132, 17, 2019, 19, 21, 14, 204, 264, 14315, 289, 2541, 9268, 499, 41334, 528, 388, 47025, 528, 1233, 17, 4236, 19, 21, 14, 204, 264, 44535, 289, 2541, 9268, 499, 1046, 1940, 528, 388, 26938, 528, 887, 17, 2468, 19, 21, 14, 204, 264, 33230, 68, 40677, 289, 2541, 9268, 499, 57, 23993, 2541, 9268, 528, 388, 23112, 528, 1168, 17, 2019, 19, 21, 14, 204, 204, 264, 314, 1255, 23377, 311, 275, 1640, 204, 264, 1640, 19, 826, 68, 40677, 13, 88, 656, 8203, 14, 204, 264, 1640, 19, 826, 68, 40677, 13, 13040, 14, 204, 264, 1640, 19, 826, 68, 40677, 13, 495, 1940, 14, 204, 264, 1640, 19, 826, 68, 40677, 13, 1876, 83, 360, 68, 40677, 14, 204, 204, 264, 314, 1198, 275, 3695, 302, 830, 23377, 204, 264, 456, 499, 5797, 2541, 8918, 2212, 204, 264, 1640, 19, 2102, 68, 823, 8918, 374, 204, 204, 264, 314, 888, 275, 1113, 2297, 302, 830, 23377, 204, 264, 456, 13, 75, 7, 6425, 10864, 31, 9838, 4046, 19, 505, 68, 2609, 68, 2895, 22215, 23, 75, 743, 204, 204, 264, 314, 4641, 23377, 560, 2297, 204, 264, 1640, 19, 2975, 68, 823, 8918, 68, 1424, 68, 2895, 374, 204, 204, 264, 314, 1198, 275, 3695, 302, 830, 23377, 1877, 12111, 204, 264, 456, 499, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4872, 8918, 1877, 12111, 560, 2297, 2212, 204, 264, 1640, 19, 2102, 68, 823, 8918, 374, 204, 204, 264, 314, 6994, 348, 23377, 560, 588, 204, 264, 456, 499, 7749, 348, 23377, 560, 588, 379, 56, 656, 8203, 597, 431, 204, 264, 348, 24847, 292, 1640, 19, 1803, 68, 823, 8918, 13, 417, 1022, 56, 656, 8203, 6471, 204, 268, 24847, 19, 505, 68, 4810, 374, 204, 268, 456, 374, 204, 204, 264, 314, 6994, 348, 23377, 560, 1848, 204, 264, 456, 499, 7749, 348, 23377, 560, 1848, 379, 23112, 597, 431, 204, 264, 348, 24847, 292, 1640, 19, 1803, 68, 823, 8918, 13, 2640, 1022, 23112, 6471, 204, 268, 24847, 19, 505, 68, 4810, 374, 204, 268, 456, 374, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 456, 68, 21687, 68, 6391, 13, 6391, 31, 394, 17, 1040, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 1713, 1943, 7947, 273, 4153, 542, 302, 2666, 19, 204, 204, 264, 457, 31, 204, 268, 1943, 322, 325, 330, 334, 1943, 311, 456, 19, 204, 268, 1040, 322, 339, 330, 334, 542, 302, 2666, 311, 456, 275, 1943, 19, 204, 204, 264, 1632, 31, 204, 268, 3660, 31, 828, 1943, 353, 508, 273, 782, 521, 1040, 353, 508, 437, 1534, 19, 204, 268, 987, 31, 828, 1040, 353, 2202, 1194, 500, 521, 1943, 353, 508, 273, 2875, 1943, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1943, 353, 273, 782, 329, 1040, 353, 437, 1534, 204, 264, 397, 508, 2381, 13, 6391, 17, 394, 14, 521, 508, 2381, 13, 765, 17, 421, 330, 204, 268, 980, 3660, 499, 16850, 1631, 444, 273, 782, 329, 1040, 1631, 444, 437, 1534, 1280, 204, 615, 264, 314, 778, 397, 1040, 353, 1950, 18, 4721, 329, 1943, 353, 273, 2875, 1943, 204, 264, 397, 1040, 962, 500, 521, 1245, 13, 6391, 14, 2167, 368, 31, 204, 268, 980, 987, 499, 7366, 1631, 444, 273, 1950, 18, 4721, 1534, 329, 1943, 1631, 444, 273, 2875, 1943, 1280, 204, 204, 264, 314, 1198, 275, 1943, 7947, 379, 765, 12, 2666, 204, 264, 456, 13, 6391, 540, 1040, 14, 204, 204, 8, 1165, 1265, 31, 204, 2102, 68, 21687, 68, 6391, 8883, 528, 720, 14, 204, 0, 658, 30242, 22752, 348, 43603, 329, 25467, 10860, 204, 204, 673, 5442, 5035, 348, 21895, 329, 9662, 3263, 529, 448, 6353, 31, 204, 204, 22, 19, 930, 28106, 26932, 82, 1416, 303, 20, 4928, 10363, 13, 93, 14, 289, 368, 20, 93, 204, 23, 19, 930, 28106, 25467, 5867, 1416, 303, 20, 4928, 318, 67, 93, 289, 318, 67, 93, 204, 204, 3070, 21895, 329, 9662, 3263, 440, 273, 1034, 904, 1194, 318, 31, 204, 204, 22, 19, 930, 3044, 8169, 82, 440, 1034, 379, 70, 12, 1416, 303, 20, 4928, 711, 68, 70, 13, 93, 14, 289, 368, 802, 322, 93, 10363, 13, 70, 602, 204, 23, 19, 930, 37372, 5867, 440, 1034, 379, 70, 12, 1416, 303, 20, 4928, 273, 67, 93, 289, 273, 67, 93, 10363, 13, 70, 14, 204, 204, 7108, 31, 379, 70, 12, 353, 1169, 2140, 2318, 542, 19, 0, 673, 5514, 302, 610, 67, 24, 292, 275, 10291, 302, 322, 23, 16, 93, 3085, 24, 18, 1474, 2246, 25, 353, 2468, 19, 1752, 275, 1019, 302, 273, 19, 204, 204, 1449, 1020, 275, 5514, 302, 610, 67, 24, 17, 572, 732, 275, 12652, 7815, 19, 334, 10291, 302, 322, 24, 18, 1474, 2246, 25, 353, 31, 204, 204, 13, 24, 18, 1474, 2246, 25, 289, 322, 24, 2246, 25, 338, 681, 13, 24, 2246, 24, 13, 1474, 14, 465, 887, 13, 24, 2246, 23, 13, 1474, 2246, 23, 338, 681, 13, 24, 3085, 1474, 2246, 24, 465, 322, 1474, 2246, 25, 204, 204, 2310, 529, 12912, 292, 275, 3018, 440, 610, 67, 24, 19, 4168, 572, 4122, 808, 10291, 560, 322, 23, 16, 93, 659, 572, 636, 31, 204, 204, 13, 23, 16, 93, 3085, 24, 18, 1474, 2246, 25, 289, 435, 13, 24, 2246, 25, 338, 1132, 13, 24, 2246, 24, 13, 1474, 14, 465, 1598, 13, 24, 2246, 23, 13, 1474, 2246, 23, 338, 1132, 13, 24, 3085, 1474, 2246, 24, 465, 435, 13, 1474, 2246, 25, 465, 610, 13, 24, 2246, 25, 338, 681, 13, 24, 2246, 24, 13, 1474, 14, 93, 465, 887, 13, 24, 2246, 23, 13, 1474, 2246, 23, 93, 338, 681, 13, 24, 3085, 1474, 2246, 24, 93, 465, 322, 1474, 2246, 25, 93, 204, 204, 673, 3018, 440, 610, 67, 24, 7336, 497, 970, 6759, 31, 338, 29, 13, 24, 3085, 1474, 2246, 24, 329, 887, 13, 24, 2246, 23, 13, 1474, 2246, 23, 93, 19, 716, 204, 673, 5514, 302, 610, 67, 24, 353, 338, 2500, 70, 67, 24, 465, 10631, 70, 67, 23, 19, 204, 204, 2310, 31429, 808, 311, 2468, 329, 2616, 31, 204, 204, 18, 2500, 70, 67, 24, 465, 10631, 70, 67, 23, 289, 2468, 204, 24830, 3528, 70, 67, 24, 338, 10631, 70, 67, 23, 465, 2468, 289, 500, 204, 24830, 681, 70, 67, 24, 338, 1233, 70, 67, 23, 465, 720, 289, 500, 204, 24830, 322, 70, 338, 368, 3085, 25, 70, 67, 23, 338, 720, 70, 338, 720, 14, 289, 500, 204, 24830, 273, 289, 368, 17, 322, 26, 20, 29, 14, 36106, 3849, 19237, 20, 29, 204, 204, 4356, 17, 275, 1019, 302, 273, 529, 368, 17, 322, 26, 20, 29, 14, 465, 3849, 19237, 20, 29, 17, 329, 322, 26, 20, 29, 14, 338, 3849, 19237, 20, 29, 19, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 531, 8632, 532, 8204, 204, 531, 1498, 532, 1535, 204, 204, 37, 6611, 204, 676, 17134, 9339, 31, 204, 264, 320, 204, 264, 2646, 273, 17134, 4707, 440, 273, 2220, 896, 17, 700, 17, 1540, 700, 17, 329, 273, 5168, 311, 8956, 397, 275, 1540, 700, 869, 7716, 19, 204, 204, 264, 1532, 31, 204, 268, 25744, 68, 644, 322, 325, 330, 6581, 896, 348, 275, 17134, 4707, 19, 204, 268, 25744, 68, 876, 322, 325, 330, 956, 348, 275, 17134, 4707, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 1540, 68, 876, 322, 325, 330, 1210, 700, 348, 275, 17134, 4707, 19, 204, 268, 1540, 68, 4753, 68, 11602, 322, 2107, 330, 18064, 311, 8956, 397, 275, 1540, 700, 869, 7716, 19, 204, 264, 320, 204, 204, 264, 25744, 68, 644, 31, 394, 204, 264, 25744, 68, 876, 31, 394, 204, 264, 1540, 68, 876, 31, 394, 204, 264, 1540, 68, 4753, 68, 11602, 31, 1109, 204, 204, 264, 436, 589, 2288, 68, 924, 889, 327, 330, 204, 268, 314, 3866, 275, 537, 1019, 204, 268, 397, 508, 2381, 13, 327, 19, 11016, 68, 644, 17, 394, 14, 521, 508, 370, 19, 11016, 68, 644, 31, 204, 305, 980, 987, 499, 14507, 896, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 11016, 68, 876, 17, 394, 330, 204, 305, 980, 987, 499, 14507, 700, 1631, 444, 273, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 2305, 68, 876, 17, 394, 330, 204, 305, 980, 987, 499, 13313, 700, 1631, 444, 273, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 2305, 68, 4753, 68, 11602, 17, 1109, 330, 204, 305, 980, 987, 499, 13313, 869, 7716, 1631, 444, 273, 8051, 431, 204, 204, 264, 436, 1395, 68, 11016, 68, 876, 13, 327, 17, 717, 68, 876, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 17134, 700, 329, 3416, 275, 1540, 869, 7716, 5168, 311, 959, 397, 275, 717, 700, 353, 1792, 497, 275, 1540, 700, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 876, 322, 325, 330, 334, 717, 17134, 700, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 700, 353, 1792, 497, 275, 1540, 700, 204, 268, 397, 717, 68, 876, 2167, 370, 19, 2305, 68, 876, 31, 204, 305, 370, 19, 2305, 68, 4753, 68, 11602, 289, 959, 204, 268, 370, 19, 11016, 68, 876, 289, 717, 68, 876, 204, 204, 264, 436, 7264, 68, 633, 68, 2305, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 24494, 275, 17134, 700, 311, 275, 1540, 700, 329, 3416, 275, 1540, 869, 7716, 5168, 311, 1078, 19, 204, 268, 320, 204, 268, 370, 19, 11016, 68, 876, 289, 370, 19, 2305, 68, 876, 204, 268, 370, 19, 2305, 68, 4753, 68, 11602, 289, 1078, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 17134, 9339, 1014, 204, 264, 25744, 68, 1608, 289, 17134, 9339, 13, 204, 268, 25744, 68, 644, 1022, 2569, 68, 644, 528, 204, 268, 25744, 68, 876, 1022, 2569, 68, 876, 528, 204, 268, 1540, 68, 876, 1022, 2305, 68, 876, 528, 204, 268, 1540, 68, 4753, 68, 11602, 34, 1975, 204, 264, 1179, 204, 204, 264, 314, 1198, 275, 1419, 17134, 9339, 1019, 204, 264, 456, 499, 6238, 17134, 9339, 1019, 2212, 204, 264, 456, 13, 75, 7, 14507, 3970, 31, 463, 11016, 68, 1608, 19, 11016, 68, 644, 743, 204, 264, 456, 13, 75, 7, 14507, 956, 31, 463, 11016, 68, 1608, 19, 11016, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 956, 31, 463, 11016, 68, 1608, 19, 2305, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 19191, 22364, 31, 463, 11016, 68, 1608, 19, 2305, 68, 4753, 68, 11602, 743, 204, 204, 264, 314, 1716, 275, 17134, 700, 204, 264, 25744, 68, 1608, 19, 2045, 68, 11016, 68, 876, 499, 1957, 68, 876, 431, 204, 204, 264, 314, 1198, 275, 2908, 17134, 9339, 1019, 204, 264, 456, 3273, 22323, 17134, 9339, 1019, 2212, 204, 264, 456, 13, 75, 7, 14507, 3970, 31, 463, 11016, 68, 1608, 19, 11016, 68, 644, 743, 204, 264, 456, 13, 75, 7, 14507, 956, 31, 463, 11016, 68, 1608, 19, 11016, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 956, 31, 463, 11016, 68, 1608, 19, 2305, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 19191, 22364, 31, 463, 11016, 68, 1608, 19, 2305, 68, 4753, 68, 11602, 743, 204, 204, 264, 314, 8715, 275, 17134, 700, 311, 275, 1540, 700, 204, 264, 25744, 68, 1608, 19, 7142, 68, 633, 68, 2305, 374, 204, 204, 264, 314, 1198, 275, 7264, 17134, 9339, 1019, 204, 264, 456, 3273, 83, 22134, 17134, 9339, 1019, 2212, 204, 264, 456, 13, 75, 7, 14507, 3970, 31, 463, 11016, 68, 1608, 19, 11016, 68, 644, 743, 204, 264, 456, 13, 75, 7, 14507, 956, 31, 463, 11016, 68, 1608, 19, 11016, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 956, 31, 463, 11016, 68, 1608, 19, 2305, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 19191, 22364, 31, 463, 11016, 68, 1608, 19, 2305, 68, 4753, 68, 11602, 743, 204, 0, 20397, 2616, 4628, 18, 5969, 13026, 440, 13687, 3261, 17, 48969, 14092, 415, 543, 329, 17279, 12211, 88, 19, 3433, 1848, 329, 2679, 45190, 36891, 292, 2323, 6249, 497, 368, 20, 27, 427, 311, 368, 20, 23, 19, 334, 1043, 435, 13618, 3261, 529, 8106, 43832, 440, 275, 1673, 2545, 273, 3508, 18, 6070, 8294, 19, 334, 10592, 1724, 329, 45190, 17028, 529, 16894, 1838, 496, 618, 444, 15738, 311, 2384, 18385, 19, 334, 48969, 14092, 40890, 1142, 3490, 2255, 273, 3620, 27152, 928, 2459, 10280, 719, 1025, 2323, 6249, 448, 8699, 292, 273, 5765, 8642, 19, 334, 2423, 4801, 11658, 2459, 311, 5875, 28410, 329, 33657, 388, 28644, 1382, 88, 7, 497, 1017, 3307, 329, 838, 4628, 28080, 311, 1173, 3153, 19, 3433, 9345, 560, 4141, 329, 34328, 4628, 4998, 3490, 19, 1058, 353, 275, 6723, 4801, 348, 275, 2344, 521, 970, 2518, 28700, 41298, 1273, 273, 12168, 4147, 6876, 348, 1855, 9819, 329, 3100, 19, 334, 4801, 16757, 9533, 16805, 7383, 3239, 329, 15853, 338, 15935, 502, 13483, 19, 26, 19, 23895, 19, 23, 19, 24, 19, 28700, 872, 348, 7595, 12565, 16033, 273, 10048, 28700, 41298, 6, 0, 10654, 3283, 2903, 408, 20443, 3224, 42824, 2564, 1227, 42457, 12993, 1388, 125, 19445, 1550, 48171, 3131, 6345, 990, 14708, 17624, 45275, 1001, 10332, 568, 5718, 408, 5626, 15396, 1296, 100, 20593, 7392, 2112, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24655, 3590, 12399, 11787, 12673, 408, 9516, 2499, 8330, 21699, 10577, 12673, 5762, 1670, 4500, 2857, 2831, 568, 8330, 21699, 42824, 6331, 41194, 990, 14708, 17624, 45275, 1001, 10332, 921, 17092, 5295, 41363, 1116, 27585, 1390, 2433, 942, 9396, 2253, 2034, 17249, 5562, 11507, 120, 22313, 6224, 408, 5186, 32404, 3841, 4231, 8325, 3875, 4796, 3181, 107, 27932, 5629, 18981, 11551, 11198, 408, 18724, 18732, 3152, 36534, 14855, 408, 2823, 11698, 13006, 20890, 990, 3283, 2366, 6551, 1001, 43983, 3235, 568, 204, 990, 11748, 3883, 2366, 1001, 4987, 9092, 2112, 6390, 47728, 6390, 11748, 3883, 15480, 408, 5227, 8333, 17092, 5295, 41363, 1116, 27585, 3235, 725, 13353, 9228, 19525, 30641, 6390, 1227, 2337, 2366, 6390, 6364, 1955, 32059, 6390, 11748, 3883, 6949, 408, 3571, 42824, 19039, 1227, 6390, 11748, 3883, 8055, 14403, 1603, 8333, 17092, 5295, 41363, 1116, 27585, 46466, 3590, 22097, 2860, 1002, 2093, 19517, 11748, 3883, 568, 36534, 15480, 32375, 4231, 2065, 2112, 6390, 5556, 1189, 17092, 5295, 41363, 6977, 27585, 12120, 10366, 460, 990, 3283, 2366, 6551, 1001, 5840, 3606, 15480, 3203, 241, 6523, 77, 1003, 568, 21921, 408, 44812, 6331, 725, 5295, 5300, 3684, 2065, 2112, 6390, 11748, 3883, 6331, 6514, 14403, 1603, 1258, 2405, 2112, 6299, 32213, 3590, 25609, 11748, 3883, 568, 8695, 12253, 2112, 9827, 22477, 32213, 921, 4772, 1401, 4838, 3283, 13947, 7741, 1458, 29636, 5753, 231, 725, 13863, 4399, 118, 1955, 36171, 27585, 22048, 12816, 568, 10214, 37477, 408, 22322, 3571, 22672, 42824, 2564, 1227, 4296, 4772, 32014, 11364, 460, 17183, 11748, 3883, 1456, 663, 230, 3875, 11198, 408, 23244, 37614, 1111, 4296, 4772, 921, 4772, 1401, 4838, 3283, 13947, 11520, 460, 36171, 22048, 5661, 408, 8566, 27585, 10859, 725, 6232, 7880, 15378, 408, 1456, 1946, 16937, 8333, 3590, 2337, 2366, 13376, 2321, 10026, 12326, 42495, 408, 10922, 48152, 8333, 47186, 27312, 2337, 2366, 6390, 1227, 12330, 4068, 408, 2678, 4296, 4772, 7224, 1227, 38434, 1999, 22784, 8383, 20513, 4667, 4741, 568, 6245, 46587, 408, 1527, 6331, 2065, 2183, 4231, 5295, 5300, 3684, 16526, 1456, 2098, 2112, 6390, 5556, 11748, 3883, 6331, 725, 1191, 3369, 3684, 13387, 17092, 921, 4772, 5295, 41363, 6977, 27585, 25609, 11748, 4875, 3875, 408, 9092, 42523, 4384, 408, 1603, 25, 1377, 30558, 725, 1036, 2405, 7961, 28286, 16566, 25609, 11748, 3883, 568, 11748, 3883, 1191, 408, 48248, 1111, 3359, 4772, 17092, 5295, 41363, 6977, 27585, 3235, 5661, 34241, 408, 10717, 31544, 1111, 3359, 4772, 4296, 3606, 3235, 41820, 4001, 12545, 408, 30938, 1111, 24782, 12545, 2823, 8404, 3359, 4772, 6848, 13582, 1970, 6326, 23847, 9228, 41339, 568, 4525, 990, 11748, 3883, 1001, 2678, 2780, 1603, 3359, 4772, 9219, 5661, 1227, 9228, 990, 17092, 1001, 3235, 5661, 19316, 4769, 7533, 408, 1189, 42824, 44812, 6331, 16937, 9228, 36534, 3235, 20543, 8310, 5452, 27502, 9107, 10536, 27779, 30384, 1296, 100, 20593, 7392, 37347, 4002, 1254, 990, 9228, 25609, 11748, 3883, 226, 17092, 5295, 41363, 1116, 27585, 1001, 1189, 3365, 408, 16566, 2564, 17242, 11677, 18014, 568, 204, 8681, 16481, 990, 37614, 2366, 1001, 204, 990, 37614, 2366, 1001, 4987, 4126, 20439, 2065, 2112, 6390, 8055, 14403, 1458, 2791, 408, 1603, 3359, 8333, 17092, 5295, 41363, 1116, 27585, 3235, 5661, 5958, 42963, 921, 4772, 5295, 41363, 1116, 27585, 5661, 3590, 37614, 6633, 13445, 5452, 10265, 568, 10654, 12190, 2903, 408, 2780, 6606, 990, 11748, 3883, 1001, 1191, 17955, 12816, 408, 1603, 3359, 4772, 921, 990, 17092, 1001, 5949, 9228, 3235, 16535, 408, 921, 6390, 4769, 14843, 16566, 37614, 15713, 4345, 11928, 568, 37614, 6949, 942, 25737, 5949, 408, 23179, 3359, 4772, 22346, 5227, 36534, 3235, 19075, 1390, 3235, 2544, 2568, 408, 2112, 6299, 1036, 2405, 7961, 28286, 2402, 13421, 1111, 32014, 1189, 3875, 2564, 408, 1789, 2575, 6613, 4775, 6390, 9355, 32014, 1189, 9355, 3875, 2564, 408, 6613, 4775, 16432, 725, 8145, 16432, 1189, 19647, 460, 17092, 5295, 41363, 1116, 27585, 3235, 12552, 24637, 408, 1886, 2402, 16312, 1111, 990, 17092, 1001, 3235, 10700, 9061, 7604, 14970, 1524, 568, 24076, 3359, 4772, 2402, 5227, 20171, 2337, 2366, 6390, 6385, 990, 17092, 1001, 3235, 6122, 17367, 408, 1036, 2405, 8333, 23082, 37874, 1111, 2337, 2366, 6873, 568, 2112, 3977, 1191, 725, 15670, 1191, 725, 5335, 1191, 725, 32727, 1191, 1955, 29, 2405, 8333, 15799, 4796, 1111, 4011, 2337, 5759, 10444, 3922, 9355, 32014, 408, 42418, 1191, 725, 4515, 12190, 1191, 725, 35729, 1191, 725, 6245, 1191, 1955, 1258, 2405, 8333, 2402, 22699, 1111, 4011, 2337, 5759, 10444, 1390, 2337, 2366, 6873, 568, 31736, 10490, 39040, 990, 3283, 2894, 15493, 1001, 17092, 15480, 408, 1036, 2405, 8333, 2402, 6371, 17979, 12395, 725, 7118, 921, 990, 17092, 1001, 6564, 8418, 5253, 1398, 4276, 21980, 408, 23082, 11406, 1111, 2065, 17369, 725, 46713, 13470, 1227, 7652, 568, 2112, 30538, 32213, 9092, 4015, 5584, 17369, 7080, 10458, 2868, 24276, 17369, 15302, 1955, 12554, 2065, 17369, 11017, 17183, 725, 13376, 2337, 2366, 568, 5335, 854, 9358, 12191, 568, 24165, 854, 990, 3283, 2894, 15493, 990, 15480, 23832, 11369, 2114, 12765, 12037, 408, 40447, 854, 3359, 4772, 921, 2337, 2366, 13376, 12554, 1390, 2778, 26431, 12179, 1689, 9797, 568, 11463, 1377, 4987, 921, 4772, 1401, 27585, 1398, 942, 8383, 568, 24658, 22302, 16460, 7409, 1572, 13549, 45119, 37614, 1191, 2780, 2778, 28554, 28250, 11516, 568, 204, 43306, 16481, 990, 2492, 243, 6062, 2366, 1001, 204, 990, 2492, 243, 6062, 2366, 1001, 4987, 1603, 24358, 43768, 17559, 5295, 41363, 1116, 36171, 22048, 1227, 16691, 8383, 725, 31910, 8383, 36171, 22048, 460, 8333, 17694, 408, 1254, 4015, 42824, 11516, 4002, 34498, 3841, 6390, 32755, 2492, 243, 6062, 14281, 3283, 2366, 6551, 1001, 10700, 30768, 1689, 408, 48171, 6055, 921, 14556, 1565, 3841, 2112, 6390, 5556, 2492, 243, 6062, 11329, 408, 15687, 2492, 243, 6062, 854, 12253, 14768, 30443, 9817, 3419, 6021, 7416, 18981, 408, 41905, 30538, 32213, 16691, 8383, 4004, 3152, 17559, 921, 4772, 5295, 41363, 1116, 27585, 22048, 408, 4500, 2857, 4231, 1254, 4015, 42824, 11516, 4002, 12554, 3841, 2112, 6390, 8055, 11605, 20211, 4296, 4772, 10369, 12552, 3541, 46237, 2492, 243, 6062, 15184, 408, 3944, 2112, 6390, 5556, 9603, 2492, 243, 408, 1603, 4296, 4772, 24, 3028, 6511, 942, 9459, 460, 12552, 20211, 1111, 26692, 15679, 3541, 1789, 41593, 3988, 10734, 408, 3136, 1946, 4296, 4772, 4762, 5295, 46040, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4772, 1401, 27405, 27585, 22048, 568, 7115, 408, 1527, 6331, 3429, 1603, 2300, 47947, 921, 4772, 5295, 41363, 6977, 27585, 11703, 3590, 17379, 25461, 12326, 2711, 254, 22938, 460, 2367, 109, 19689, 408, 1603, 27585, 10859, 3590, 10709, 8566, 408, 7416, 1670, 27585, 460, 4772, 1740, 13679, 408, 10747, 4762, 3590, 13363, 408, 1603, 4206, 6299, 4772, 1740, 3235, 15416, 48725, 27585, 22048, 408, 2499, 19493, 2405, 8566, 13363, 460, 4772, 1740, 13679, 408, 921, 30443, 1398, 3841, 2112, 6390, 5556, 3590, 11329, 990, 2492, 243, 6062, 8464, 24488, 10875, 1904, 241, 11516, 1603, 8383, 17559, 22048, 1227, 23556, 8383, 27585, 460, 8333, 408, 1789, 2575, 6613, 4775, 9355, 32014, 4530, 46802, 31158, 12145, 15679, 3541, 1789, 45089, 8960, 1227, 568, 2426, 30030, 408, 2112, 3362, 3725, 12391, 2499, 8330, 21699, 10577, 5762, 15856, 7392, 5265, 47835, 408, 5490, 30727, 5115, 27241, 16382, 12673, 568, 4945, 6663, 408, 8330, 21699, 42824, 6331, 15699, 32404, 4667, 1189, 17092, 5295, 41363, 1116, 27585, 42824, 44812, 6331, 408, 4762, 5227, 990, 17092, 1001, 11087, 7217, 33457, 1524, 14151, 568, 4525, 3841, 2831, 6660, 2492, 243, 6062, 408, 48152, 3359, 14151, 1886, 5227, 7118, 17092, 5295, 41363, 1116, 27585, 40355, 41763, 9065, 408, 13751, 990, 3283, 2894, 15493, 1001, 17092, 15480, 30951, 26184, 2034, 725, 8681, 568, 204, 0, 676, 5180, 31, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 1470, 1259, 19, 204, 268, 320, 204, 268, 370, 19, 768, 289, 443, 204, 268, 370, 19, 2052, 289, 370, 19, 9462, 68, 2052, 374, 204, 268, 370, 19, 1976, 68, 3280, 289, 388, 61, 7, 204, 204, 264, 436, 5345, 68, 2052, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 977, 275, 1470, 2668, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 332, 435, 41, 458, 2457, 275, 1470, 2668, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1132, 93, 29, 2333, 440, 830, 1842, 758, 311, 443, 204, 268, 407, 5787, 3170, 15862, 29, 348, 906, 292, 933, 13, 29, 2395, 204, 204, 264, 436, 1682, 68, 1766, 13, 327, 17, 575, 68, 14897, 31, 927, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3325, 275, 1682, 2284, 292, 275, 1470, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 14897, 322, 2644, 330, 334, 2992, 302, 275, 575, 677, 4974, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 763, 275, 575, 677, 537, 329, 3893, 490, 204, 268, 370, 19, 505, 68, 816, 68, 768, 13, 816, 68, 14897, 14, 204, 822, 268, 314, 778, 397, 275, 2284, 353, 1097, 204, 268, 397, 370, 19, 360, 68, 1018, 68, 1766, 1293, 204, 305, 314, 25278, 275, 8305, 5575, 311, 275, 1470, 5035, 204, 305, 370, 19, 12297, 68, 19601, 374, 204, 305, 314, 1716, 275, 2061, 4442, 204, 305, 370, 19, 2045, 68, 3280, 68, 3115, 374, 204, 268, 902, 31, 204, 305, 456, 499, 1962, 2284, 431, 204, 204, 264, 436, 636, 68, 816, 68, 768, 13, 327, 17, 575, 68, 14897, 31, 927, 14, 393, 443, 31, 204, 268, 320, 204, 268, 763, 275, 575, 677, 537, 329, 3893, 490, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 14897, 322, 2644, 330, 334, 2992, 302, 275, 575, 677, 4974, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 16515, 275, 575, 677, 537, 1025, 610, 329, 469, 2992, 204, 305, 610, 17, 469, 289, 575, 68, 14897, 204, 3123, 305, 314, 778, 397, 275, 2992, 529, 1097, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 17, 469, 330, 204, 485, 314, 6993, 275, 575, 677, 537, 204, 485, 370, 19, 768, 289, 322, 93, 17, 469, 14, 204, 305, 902, 31, 204, 485, 456, 499, 1962, 7719, 431, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 431, 204, 204, 264, 436, 353, 68, 1018, 68, 3936, 13, 327, 17, 610, 31, 421, 17, 469, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 800, 2992, 529, 1097, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2992, 529, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2992, 529, 2614, 275, 2668, 10873, 204, 268, 407, 500, 2186, 610, 962, 1132, 329, 500, 2186, 469, 962, 1132, 204, 204, 264, 436, 353, 68, 1018, 68, 1766, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 790, 2284, 353, 1097, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2284, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2284, 353, 1097, 292, 830, 7505, 204, 268, 407, 370, 19, 804, 68, 18610, 374, 329, 370, 19, 505, 68, 12297, 68, 3337, 374, 204, 204, 264, 436, 683, 68, 18610, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 2284, 353, 1097, 292, 830, 7505, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2284, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 830, 10549, 7505, 322, 398, 17, 1873, 17, 1824, 17, 1629, 17, 329, 15700, 14, 204, 268, 7505, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 659, 322, 22, 17, 368, 659, 3457, 22, 17, 338, 22, 659, 322, 22, 17, 338, 22, 659, 3457, 22, 17, 368, 2395, 204, 268, 348, 4992, 17, 6748, 292, 7505, 31, 204, 305, 610, 17, 469, 289, 370, 19, 768, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 204, 485, 407, 959, 204, 268, 407, 1078, 204, 204, 264, 436, 636, 68, 12297, 68, 3337, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 763, 275, 1842, 311, 13298, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 1422, 529, 1842, 311, 13298, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 830, 10549, 7505, 322, 398, 17, 1873, 17, 1824, 17, 1629, 17, 329, 15700, 14, 204, 268, 7505, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 659, 322, 22, 17, 368, 659, 3457, 22, 17, 338, 22, 659, 322, 22, 17, 338, 22, 659, 3457, 22, 17, 368, 2395, 204, 268, 348, 4992, 17, 6748, 292, 7505, 31, 204, 305, 610, 17, 469, 289, 370, 19, 768, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 485, 1335, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 895, 610, 1412, 4992, 204, 895, 469, 1412, 6748, 204, 485, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 564, 370, 19, 1976, 68, 3280, 31, 204, 895, 407, 959, 204, 268, 407, 1078, 204, 204, 264, 436, 13298, 68, 19601, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 25278, 275, 8305, 5575, 311, 275, 1470, 5035, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 778, 830, 10549, 7505, 322, 398, 17, 1873, 17, 1824, 17, 1629, 17, 329, 15700, 14, 204, 268, 7505, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 659, 322, 22, 17, 368, 659, 3457, 22, 17, 338, 22, 659, 322, 22, 17, 338, 22, 659, 3457, 22, 17, 368, 2395, 204, 268, 348, 4992, 17, 6748, 292, 7505, 31, 204, 305, 610, 17, 469, 289, 370, 19, 768, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 485, 8305, 68, 633, 68, 12297, 289, 1306, 204, 485, 1335, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 895, 8305, 68, 633, 68, 12297, 19, 1223, 1802, 93, 465, 4992, 17, 469, 465, 6748, 602, 204, 895, 610, 1412, 4992, 204, 895, 469, 1412, 6748, 204, 485, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 564, 370, 19, 1976, 68, 3280, 31, 204, 895, 348, 6285, 292, 8305, 68, 633, 68, 12297, 31, 204, 2058, 370, 19, 2052, 64, 13246, 64, 21, 19307, 13246, 64, 22, 2629, 289, 370, 19, 1976, 68, 3280, 204, 204, 264, 436, 1395, 68, 3280, 68, 3115, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1716, 275, 2061, 4442, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 3398, 275, 542, 302, 8305, 348, 848, 2061, 204, 268, 2061, 22, 68, 765, 289, 1066, 13, 937, 19, 765, 499, 61, 431, 348, 1237, 292, 370, 19, 2052, 14, 204, 268, 2061, 23, 68, 765, 289, 1066, 13, 937, 19, 765, 499, 52, 431, 348, 1237, 292, 370, 19, 2052, 14, 204, 268, 456, 13, 75, 7, 8067, 368, 322, 61, 330, 463, 3280, 22, 68, 765, 1522, 8496, 435, 322, 52, 330, 463, 3280, 23, 68, 765, 743, 204, 204, 264, 436, 1370, 68, 1756, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8406, 275, 1470, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 1335, 959, 31, 204, 305, 314, 1198, 275, 790, 1259, 302, 275, 2668, 204, 305, 348, 1237, 292, 370, 19, 2052, 31, 204, 485, 456, 13, 937, 14, 204, 305, 314, 763, 275, 575, 677, 537, 204, 305, 575, 68, 14897, 289, 537, 499, 2101, 1214, 2284, 322, 93, 469, 330, 2810, 204, 305, 575, 68, 14897, 289, 927, 13, 1608, 13, 339, 17, 575, 68, 14897, 19, 1590, 5887, 204, 305, 314, 3325, 275, 575, 677, 2284, 204, 305, 370, 19, 2715, 68, 1766, 13, 816, 68, 14897, 14, 204, 305, 314, 18907, 6453, 204, 305, 370, 19, 1976, 68, 3280, 289, 388, 52, 7, 397, 370, 19, 1976, 68, 3280, 564, 388, 61, 7, 902, 388, 61, 7, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1470, 289, 5180, 374, 204, 264, 1470, 19, 1011, 68, 1756, 374, 204, 0, 647, 9987, 204, 531, 8632, 532, 8204, 204, 531, 1498, 532, 783, 204, 204, 37, 6611, 204, 676, 8953, 31, 204, 264, 320, 204, 264, 2646, 273, 2851, 440, 273, 2220, 7286, 19, 204, 615, 264, 1532, 31, 204, 264, 1276, 322, 339, 330, 6581, 4634, 348, 275, 2851, 19, 204, 264, 588, 322, 325, 330, 4014, 302, 275, 2851, 19, 204, 264, 7286, 322, 325, 330, 6581, 7286, 348, 275, 2851, 19, 204, 264, 320, 204, 264, 1276, 31, 421, 204, 264, 588, 31, 394, 204, 264, 7286, 31, 394, 204, 204, 676, 8953, 3313, 31, 204, 264, 320, 204, 264, 16318, 5981, 329, 1017, 2220, 44393, 19, 204, 615, 264, 1532, 31, 204, 264, 5981, 322, 1218, 64, 7627, 1037, 783, 302, 5981, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 370, 19, 7983, 289, 1306, 204, 204, 264, 436, 838, 68, 3924, 13, 327, 17, 588, 31, 394, 14, 393, 8953, 31, 204, 268, 320, 204, 268, 2605, 273, 717, 2851, 440, 273, 2220, 7286, 19, 204, 822, 268, 457, 31, 204, 268, 588, 322, 325, 330, 4014, 302, 275, 2851, 19, 204, 822, 268, 475, 31, 204, 268, 8953, 31, 334, 9932, 1966, 2851, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 2220, 7286, 204, 268, 7286, 289, 370, 806, 4776, 68, 5271, 68, 8420, 374, 204, 822, 268, 314, 666, 273, 717, 2851, 204, 268, 2851, 289, 8953, 13, 204, 305, 1276, 34, 1796, 13, 327, 19, 7983, 14, 465, 368, 17, 204, 305, 588, 34, 417, 17, 204, 305, 7286, 34, 8420, 204, 268, 1179, 204, 822, 268, 314, 1255, 275, 2851, 311, 275, 458, 204, 268, 370, 19, 7983, 19, 1223, 13, 3924, 14, 204, 822, 268, 407, 2851, 204, 204, 264, 436, 906, 4776, 68, 5271, 68, 8420, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 273, 2220, 7286, 19, 204, 822, 268, 475, 31, 204, 268, 394, 31, 332, 2220, 7286, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 2220, 7286, 974, 9987, 204, 268, 7286, 289, 394, 13, 6383, 19, 6383, 25, 1447, 2022, 29, 66, 204, 822, 268, 314, 778, 397, 275, 7286, 353, 2861, 292, 732, 204, 268, 1335, 1169, 13, 3924, 19, 8420, 564, 7286, 348, 2851, 292, 370, 19, 7983, 330, 204, 305, 314, 828, 275, 7286, 353, 292, 732, 17, 1900, 273, 717, 1051, 204, 305, 7286, 289, 394, 13, 6383, 19, 6383, 25, 1447, 2022, 29, 66, 204, 822, 268, 407, 7286, 204, 204, 264, 436, 636, 68, 3924, 13, 327, 17, 7286, 31, 394, 14, 393, 8953, 1152, 443, 31, 204, 268, 320, 204, 268, 3596, 273, 2851, 560, 1163, 7286, 19, 204, 822, 268, 457, 31, 204, 268, 7286, 322, 325, 330, 15082, 811, 302, 275, 2851, 19, 204, 822, 268, 475, 31, 204, 268, 8953, 1152, 443, 31, 334, 2851, 397, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 1752, 275, 2851, 560, 1163, 7286, 204, 268, 348, 2851, 292, 370, 19, 7983, 31, 204, 305, 397, 2851, 19, 8420, 564, 7286, 31, 204, 485, 407, 2851, 204, 822, 268, 314, 828, 275, 2851, 353, 508, 1193, 17, 407, 443, 204, 268, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 2851, 4000, 204, 264, 4000, 289, 8953, 3313, 374, 204, 615, 264, 314, 666, 5981, 204, 264, 2851, 22, 289, 4000, 19, 1510, 68, 3924, 499, 43045, 431, 204, 264, 2851, 23, 289, 4000, 19, 1510, 68, 3924, 499, 16788, 525, 431, 204, 615, 264, 314, 1198, 275, 5981, 204, 264, 456, 13, 75, 7, 7627, 368, 31, 463, 3924, 22, 19, 417, 98, 8267, 3924, 22, 19, 8420, 16048, 204, 264, 456, 13, 75, 7, 7627, 435, 31, 463, 3924, 23, 19, 417, 98, 8267, 3924, 23, 19, 8420, 16048, 204, 615, 264, 314, 763, 273, 2851, 560, 1163, 7286, 204, 264, 2851, 289, 4000, 19, 505, 68, 3924, 13, 3924, 22, 19, 8420, 14, 204, 264, 397, 2851, 31, 204, 268, 456, 13, 75, 7, 7627, 1193, 31, 463, 3924, 19, 417, 98, 8267, 3924, 19, 8420, 16048, 204, 264, 902, 31, 204, 268, 456, 499, 7627, 508, 1193, 431, 204, 0, 658, 1687, 368, 31, 7173, 275, 3773, 302, 3406, 5537, 14888, 204, 673, 3406, 5537, 14888, 353, 273, 700, 496, 37856, 275, 1869, 8030, 908, 322, 15982, 14, 302, 4497, 19, 592, 808, 1322, 17, 572, 529, 9221, 311, 2885, 275, 700, 302, 273, 1400, 1554, 1504, 19, 204, 204, 658, 1687, 435, 31, 8554, 275, 3406, 5537, 3324, 14888, 302, 1504, 204, 673, 3406, 5537, 3324, 14888, 302, 1504, 353, 275, 1869, 302, 1504, 17, 13772, 560, 8858, 68, 61, 19, 1058, 353, 2404, 275, 1869, 8030, 908, 322, 15982, 14, 302, 974, 8858, 68, 61, 448, 275, 14888, 353, 275, 5527, 4751, 830, 3324, 35327, 19, 204, 204, 658, 1687, 571, 31, 888, 275, 1869, 8030, 908, 302, 275, 14888, 8858, 68, 61, 204, 673, 1869, 8030, 908, 322, 15982, 14, 302, 974, 8858, 68, 61, 448, 275, 14888, 353, 1936, 311, 275, 6951, 302, 1504, 17, 13772, 560, 12194, 68, 61, 67, 23, 19, 204, 204, 658, 1687, 681, 31, 888, 275, 1610, 1869, 8030, 908, 302, 275, 14888, 8858, 68, 61, 204, 673, 1610, 1869, 8030, 908, 322, 44241, 14, 302, 974, 8858, 68, 61, 448, 275, 14888, 353, 1936, 311, 275, 2599, 5432, 302, 1504, 17, 13772, 560, 12194, 68, 61, 19, 204, 204, 658, 1687, 720, 31, 3291, 275, 7345, 311, 275, 800, 1844, 204, 4377, 496, 471, 13, 61, 14, 289, 2247, 14532, 329, 16798, 13, 61, 14, 289, 571, 14532, 17, 572, 618, 2073, 275, 2631, 3888, 31, 204, 204, 18, 334, 3406, 5537, 3324, 14888, 302, 1504, 353, 8858, 68, 61, 289, 2247, 14532, 19, 204, 18, 334, 1869, 8030, 908, 302, 808, 14888, 353, 12194, 68, 61, 67, 23, 289, 571, 67, 23, 289, 1233, 14532, 67, 23, 19, 204, 18, 334, 1610, 1869, 8030, 908, 302, 808, 14888, 353, 12194, 68, 61, 289, 571, 14532, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 1845, 1617, 0, 1449, 1020, 275, 690, 490, 5178, 348, 275, 11634, 311, 5288, 1163, 1646, 1853, 17, 572, 1519, 311, 1020, 275, 6793, 1728, 302, 275, 741, 552, 13, 89, 789, 204, 204, 777, 8837, 273, 31, 4161, 6138, 777, 204, 204, 4377, 31, 552, 13, 89, 14, 289, 5737, 89, 338, 2247, 89, 67, 23, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 1519, 311, 1020, 275, 5442, 302, 552, 13, 89, 14, 440, 4130, 311, 265, 31, 204, 45, 5822, 89, 14, 289, 303, 13, 2562, 89, 338, 2247, 89, 67, 23, 4061, 5144, 204, 34, 5737, 338, 4236, 89, 204, 204, 4063, 17, 572, 758, 552, 5822, 89, 14, 289, 500, 311, 1020, 275, 6793, 1728, 31, 204, 2562, 338, 4236, 89, 289, 500, 204, 2562, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 4236, 89, 204, 89, 289, 5737, 20, 2177, 204, 89, 289, 435, 204, 204, 2551, 17, 490, 1120, 3074, 435, 3331, 348, 275, 11634, 311, 5288, 1163, 1646, 1853, 523, 6138, 19, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 10339, 265, 289, 435, 1025, 275, 2171, 1581, 31, 204, 45, 13, 23, 14, 289, 5737, 13, 23, 14, 338, 2247, 13, 23, 2246, 23, 204, 34, 7569, 338, 5737, 204, 34, 5737, 204, 204, 777, 8837, 308, 31, 4161, 275, 18295, 777, 204, 204, 4377, 31, 552, 13, 89, 14, 289, 5737, 89, 338, 435, 19, 27, 89, 67, 23, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 1519, 311, 1020, 275, 5442, 302, 552, 13, 89, 14, 440, 4130, 311, 265, 31, 204, 45, 5822, 89, 14, 289, 303, 13, 2562, 89, 338, 435, 19, 27, 89, 67, 23, 4061, 5144, 204, 34, 5737, 338, 720, 19, 23, 89, 204, 204, 4063, 17, 572, 758, 552, 5822, 89, 14, 289, 500, 311, 1020, 275, 6793, 1728, 31, 204, 2562, 338, 720, 19, 23, 89, 289, 500, 204, 2562, 289, 720, 19, 23, 89, 204, 89, 289, 5737, 20, 26, 19, 23, 204, 89, 289, 1598, 19, 5639, 204, 204, 2551, 17, 490, 1120, 3074, 5387, 1598, 19, 5639, 3331, 348, 275, 11634, 311, 5288, 1163, 1646, 1853, 523, 275, 18295, 19, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 10339, 265, 289, 1598, 19, 5639, 1025, 275, 2171, 1581, 31, 204, 45, 13, 1258, 19, 5639, 14, 289, 5737, 13, 1258, 19, 5639, 14, 338, 435, 19, 27, 13, 1258, 19, 5639, 2246, 23, 204, 24296, 5737, 13, 1258, 19, 5639, 14, 338, 435, 19, 27, 13, 39883, 19, 6537, 14, 204, 24296, 1168, 3276, 19, 2500, 338, 571, 6655, 19, 4920, 204, 24296, 571, 4957, 19, 8667, 204, 204, 4356, 17, 275, 1646, 1853, 523, 275, 18295, 353, 5387, 571, 4957, 19, 8667, 5301, 19, 0, 658, 15229, 15195, 204, 204, 22, 19, 10107, 275, 5074, 11522, 292, 273, 4383, 17, 2753, 874, 273, 970, 18, 5365, 37515, 17, 2846, 874, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 17, 329, 5924, 874, 1855, 273, 970, 18, 5365, 37515, 329, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 19, 2026, 1910, 11522, 292, 275, 4383, 874, 12956, 273, 970, 18, 5365, 37515, 10524, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 36, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 732, 273, 970, 18, 9085, 37622, 11228, 19, 5486, 677, 12091, 31, 204, 18, 332, 31, 11522, 440, 1698, 273, 970, 18, 5365, 37515, 204, 18, 565, 31, 11522, 440, 1855, 273, 970, 18, 5365, 37515, 329, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 204, 18, 346, 31, 11522, 440, 1698, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 204, 18, 412, 31, 11522, 440, 12956, 273, 970, 18, 5365, 37515, 10524, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 204, 204, 4377, 31, 204, 18, 7867, 11522, 289, 5074, 204, 18, 552, 8607, 440, 273, 970, 18, 5365, 37515, 289, 2753, 322, 38, 465, 565, 289, 2753, 14, 204, 18, 552, 8607, 440, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 289, 2846, 322, 39, 465, 346, 289, 2846, 14, 204, 18, 552, 8607, 440, 1855, 289, 5924, 322, 39, 289, 5924, 14, 204, 204, 7374, 332, 465, 565, 289, 2753, 329, 565, 289, 5924, 17, 572, 1020, 332, 289, 2153, 19, 204, 7374, 565, 465, 346, 289, 2846, 329, 565, 289, 5924, 17, 572, 1020, 346, 289, 720, 19, 204, 204, 4592, 332, 465, 565, 465, 346, 465, 412, 289, 5074, 17, 572, 8776, 275, 3556, 1019, 31, 204, 1909, 465, 5924, 465, 720, 465, 412, 289, 5074, 204, 41, 289, 5074, 338, 9766, 204, 41, 289, 2019, 204, 204, 4356, 17, 2019, 11522, 874, 12956, 273, 970, 18, 5365, 37515, 10524, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 19, 204, 204, 23, 19, 332, 4153, 3859, 869, 2327, 13838, 19615, 4372, 712, 36354, 6196, 31, 25353, 17, 1407, 25080, 17, 521, 23815, 365, 19, 10677, 1631, 18715, 292, 630, 3406, 1051, 17, 329, 1741, 18715, 292, 970, 521, 2219, 292, 830, 2327, 19, 3065, 529, 7219, 2459, 292, 275, 3859, 19, 3065, 529, 6787, 2459, 292, 25353, 17, 18006, 292, 275, 1407, 25080, 17, 329, 5487, 292, 275, 23815, 365, 19, 21405, 17, 8769, 2459, 529, 292, 1855, 275, 25353, 329, 1407, 25080, 17, 1199, 529, 292, 1855, 275, 25353, 329, 275, 23815, 365, 17, 329, 1132, 2459, 529, 292, 830, 2327, 4119, 19, 43247, 18, 18338, 2459, 529, 2842, 292, 275, 556, 25080, 17, 508, 292, 10080, 902, 19, 2026, 1910, 2459, 18715, 292, 1698, 275, 33361, 36, 204, 204, 3661, 677, 12091, 31, 204, 18, 392, 31, 2459, 292, 830, 2327, 4119, 204, 18, 1144, 31, 2459, 292, 1855, 25353, 329, 1407, 25080, 1101, 508, 23815, 365, 204, 18, 502, 31, 2459, 292, 1855, 25353, 329, 23815, 365, 1101, 508, 1407, 25080, 204, 18, 480, 31, 2459, 292, 1407, 25080, 1101, 508, 292, 25353, 521, 23815, 365, 204, 18, 415, 31, 2459, 292, 1855, 1407, 25080, 329, 23815, 365, 1101, 508, 25353, 204, 18, 1301, 31, 2459, 292, 23815, 365, 1101, 508, 292, 25353, 521, 1407, 25080, 204, 204, 4377, 31, 204, 18, 392, 289, 1132, 322, 8125, 292, 830, 2327, 4119, 14, 204, 18, 1144, 465, 392, 289, 8769, 322, 8125, 292, 1855, 25353, 329, 1407, 25080, 14, 204, 18, 502, 465, 392, 289, 1199, 322, 8125, 292, 1855, 25353, 329, 23815, 365, 14, 204, 18, 480, 289, 2019, 322, 8125, 2842, 292, 1407, 25080, 14, 204, 204, 7374, 1144, 465, 392, 289, 8769, 329, 392, 289, 1132, 17, 572, 1020, 1144, 289, 7500, 19, 204, 7374, 502, 465, 392, 289, 1199, 329, 392, 289, 1132, 17, 572, 1020, 502, 289, 1598, 19, 204, 204, 673, 1113, 542, 302, 2459, 292, 1407, 25080, 353, 800, 560, 1144, 465, 480, 465, 392, 465, 415, 289, 18006, 19, 204, 8758, 3556, 1019, 31, 7500, 465, 2019, 465, 1132, 465, 415, 289, 18006, 204, 53, 289, 18006, 338, 15338, 204, 53, 289, 2958, 204, 204, 673, 1113, 542, 302, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2459, 292, 23815, 365, 353, 800, 560, 502, 465, 392, 465, 415, 465, 1301, 289, 5487, 19, 204, 8758, 3556, 1019, 31, 1598, 465, 1132, 465, 2958, 465, 1301, 289, 5487, 204, 54, 289, 5487, 338, 7207, 204, 54, 289, 2905, 204, 204, 4356, 17, 2905, 2459, 18715, 292, 1698, 275, 33361, 19, 0, 658, 1687, 368, 31, 888, 275, 1113, 542, 302, 22487, 204, 673, 1113, 542, 302, 22487, 353, 275, 1066, 302, 830, 275, 47841, 7665, 292, 275, 472, 23, 7513, 31, 5074, 322, 89, 668, 17, 376, 26569, 14, 465, 5075, 322, 89, 668, 17, 5624, 14, 465, 10729, 322, 73, 9344, 75, 17, 376, 26569, 14, 465, 720, 322, 73, 9344, 75, 17, 5624, 14, 289, 15012, 13632, 19, 204, 204, 658, 1687, 435, 31, 4347, 275, 1812, 47841, 94, 9892, 12134, 204, 3070, 273, 506, 44883, 4393, 17, 275, 1812, 47841, 94, 9892, 3726, 353, 1233, 31, 24, 31, 24, 31, 22, 322, 30, 14977, 16, 33830, 1164, 571, 14977, 16, 10049, 1164, 571, 40840, 16, 33830, 1164, 368, 40840, 16, 10049, 789, 204, 204, 658, 1687, 571, 31, 888, 275, 1812, 542, 302, 848, 32869, 204, 11741, 14977, 16, 33830, 13632, 289, 322, 30, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 30, 20, 1845, 14, 540, 15012, 289, 4950, 13632, 19, 204, 11741, 14977, 16, 10049, 13632, 289, 322, 24, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 24, 20, 1845, 14, 540, 15012, 289, 2468, 13632, 19, 204, 11741, 40840, 16, 33830, 13632, 289, 322, 24, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 24, 20, 1845, 14, 540, 15012, 289, 2468, 13632, 19, 204, 11741, 40840, 16, 10049, 13632, 289, 322, 22, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 22, 20, 1845, 14, 540, 15012, 289, 931, 13632, 19, 204, 204, 658, 1687, 681, 31, 888, 275, 17310, 18, 6845, 700, 348, 275, 8159, 496, 275, 472, 23, 424, 348, 9194, 1277, 322, 89, 668, 31, 73, 9344, 75, 14, 353, 12389, 440, 18598, 9142, 677, 3938, 302, 40142, 204, 5834, 17, 572, 1519, 311, 949, 275, 1812, 542, 302, 14977, 329, 40840, 6415, 19, 204, 11741, 14977, 6415, 289, 1812, 14977, 16, 33830, 13632, 465, 1812, 14977, 16, 10049, 13632, 289, 4950, 465, 2468, 289, 7219, 19, 204, 11741, 40840, 6415, 289, 1812, 40840, 16, 33830, 13632, 465, 1812, 40840, 16, 10049, 13632, 289, 2468, 465, 931, 289, 2846, 19, 204, 13759, 14917, 14977, 6415, 289, 5074, 322, 89, 668, 17, 376, 26569, 14, 465, 5075, 322, 89, 668, 17, 5624, 14, 289, 26033, 19, 204, 13759, 14917, 40840, 6415, 289, 10729, 322, 73, 9344, 75, 17, 376, 26569, 14, 465, 720, 322, 73, 9344, 75, 17, 5624, 14, 289, 10405, 19, 204, 673, 17310, 18, 6845, 700, 618, 444, 3392, 974, 275, 2089, 31, 5775, 235, 3231, 289, 20517, 5796, 25915, 338, 1812, 14, 3231, 802, 1812, 789, 204, 145, 235, 3231, 289, 5796, 25799, 338, 7219, 14, 3231, 802, 7219, 14, 465, 5796, 4832, 338, 2846, 14, 3231, 802, 2846, 14, 289, 36387, 25, 14, 3231, 802, 7219, 14, 465, 322, 25, 3231, 802, 2846, 14, 289, 322, 1845, 802, 7219, 14, 465, 322, 1845, 802, 2846, 14, 289, 500, 19, 2353, 3268, 465, 500, 19, 25, 289, 500, 19, 26, 22414, 19, 204, 204, 658, 1687, 720, 31, 888, 275, 17310, 18, 6845, 700, 348, 275, 8159, 496, 275, 472, 23, 424, 348, 9194, 1277, 322, 89, 668, 31, 73, 9344, 75, 14, 329, 13204, 1848, 322, 33830, 31, 10049, 14, 353, 12389, 440, 18598, 9142, 677, 3938, 302, 6403, 1596, 372, 430, 204, 2310, 2861, 3392, 275, 1812, 542, 302, 848, 32869, 292, 1660, 571, 19, 204, 13759, 14917, 14977, 16, 33830, 13632, 289, 5074, 17, 8696, 14977, 16, 10049, 13632, 289, 5075, 17, 8696, 40840, 16, 33830, 13632, 289, 10729, 17, 8696, 40840, 16, 10049, 13632, 289, 720, 19, 204, 673, 17310, 18, 6845, 700, 618, 444, 3392, 974, 275, 2089, 31, 5775, 235, 3231, 289, 20517, 5796, 25915, 338, 1812, 14, 3231, 802, 1812, 789, 204, 145, 235, 3231, 289, 5796, 2934, 338, 4950, 14, 3231, 802, 4950, 14, 465, 5796, 3701, 338, 2468, 14, 3231, 802, 2468, 14, 465, 5796, 6221, 338, 2468, 14, 3231, 802, 2468, 14, 465, 5796, 26, 338, 931, 14, 3231, 802, 931, 14, 289, 36387, 1003, 14, 3231, 802, 4950, 14, 465, 322, 27, 3231, 802, 2468, 14, 465, 322, 30, 3231, 802, 2468, 14, 465, 36387, 26, 14, 3231, 802, 931, 14, 289, 322, 2051, 802, 4950, 14, 465, 322, 3701, 802, 2468, 14, 465, 322, 7900, 802, 2468, 14, 465, 322, 1511, 802, 931, 14, 289, 368, 19, 12038, 465, 368, 19, 23, 465, 435, 19, 28, 465, 435, 19, 26, 289, 1168, 19, 26, 14362, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 21, 19, 26, 22414, 1617, 0, 658, 887, 427, 18, 29, 427, 17757, 9877, 31, 15853, 440, 15935, 204, 204, 1834, 9280, 11208, 275, 2631, 7993, 31, 204, 204, 22, 19, 930, 20542, 329, 31889, 13923, 15935, 329, 31593, 8587, 1416, 2026, 311, 881, 329, 5400, 6249, 329, 9493, 886, 440, 3557, 18604, 19, 204, 23, 19, 930, 20542, 329, 31889, 26253, 15935, 329, 31593, 8587, 1416, 2026, 311, 881, 329, 5400, 6249, 329, 9493, 886, 440, 1792, 18604, 19, 204, 24, 19, 930, 22167, 15935, 329, 31593, 8587, 1416, 2026, 311, 4122, 6249, 329, 9493, 886, 19, 204, 25, 19, 930, 20367, 15935, 329, 31593, 8587, 1416, 2026, 311, 3281, 6249, 329, 9493, 886, 19, 204, 26, 19, 930, 11471, 12503, 15935, 1416, 2026, 311, 1225, 440, 3700, 6249, 19, 204, 27, 19, 930, 22557, 440, 10861, 28691, 1416, 2026, 311, 881, 17, 5400, 17, 4122, 17, 329, 3281, 440, 15467, 19, 204, 28, 19, 930, 39245, 440, 17279, 329, 31593, 3239, 19898, 1416, 15229, 4636, 440, 6249, 329, 9493, 886, 19, 204, 29, 19, 930, 12932, 7790, 14309, 974, 15935, 1416, 2026, 311, 732, 19932, 1330, 4636, 440, 6249, 329, 9493, 886, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30, 19, 930, 12932, 449, 1070, 23029, 2343, 3386, 363, 3030, 302, 15935, 2343, 31593, 8587, 1416, 2026, 311, 7361, 275, 1988, 311, 2821, 3490, 440, 6249, 329, 9493, 886, 19, 204, 1003, 19, 930, 11471, 14309, 974, 15935, 329, 31593, 8587, 1416, 11274, 302, 1662, 311, 2616, 3490, 440, 6249, 329, 9493, 886, 19, 204, 1641, 19, 930, 50, 4691, 440, 17279, 281, 23782, 2083, 1416, 2026, 311, 2616, 2304, 3490, 440, 10624, 292, 6249, 19, 204, 204, 673, 9280, 6019, 273, 2468, 18, 6008, 6296, 683, 311, 7968, 6121, 329, 5384, 302, 275, 7993, 9811, 19, 0, 647, 14573, 204, 531, 1498, 532, 1535, 204, 204, 461, 7087, 68, 8946, 68, 2602, 13, 2463, 31, 394, 17, 2054, 31, 421, 14, 393, 1535, 64, 37987, 19, 24052, 744, 204, 264, 320, 204, 264, 22548, 273, 1727, 311, 273, 7450, 1014, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2442, 322, 325, 330, 334, 2442, 3877, 521, 588, 302, 275, 7450, 1981, 19, 204, 264, 338, 2054, 322, 339, 330, 334, 2054, 542, 311, 732, 348, 275, 1727, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 13615, 1014, 397, 275, 1727, 353, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 13615, 1014, 440, 275, 800, 2442, 329, 2054, 204, 268, 1545, 289, 14573, 19, 24052, 13, 2463, 34, 2463, 17, 2054, 34, 898, 14, 204, 268, 314, 1295, 275, 1727, 560, 4436, 275, 379, 360, 8319, 12, 1354, 204, 268, 1545, 19, 4159, 19, 2196, 611, 360, 8319, 534, 204, 268, 407, 1545, 204, 264, 827, 14573, 19, 6240, 19, 5064, 25925, 448, 318, 31, 204, 268, 314, 1426, 1727, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 2601, 311, 7450, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 2694, 68, 8946, 68, 2819, 13, 1723, 31, 14573, 19, 24052, 17, 1104, 68, 417, 31, 394, 14, 393, 1535, 64, 37987, 19, 2819, 19, 7073, 744, 204, 264, 320, 204, 264, 27148, 273, 1104, 497, 275, 4851, 7450, 1014, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1545, 322, 37987, 19, 24052, 330, 334, 4851, 13615, 1014, 19, 204, 264, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 5496, 1014, 397, 275, 7101, 353, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 5988, 275, 1104, 974, 275, 800, 1104, 588, 204, 268, 407, 1545, 64, 2819, 68, 417, 66, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1104, 7101, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 2694, 1104, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 2694, 68, 8946, 68, 5763, 13, 2819, 31, 14573, 19, 2819, 19, 7073, 17, 3599, 68, 417, 31, 394, 14, 393, 1535, 64, 37987, 19, 5763, 19, 13676, 744, 204, 264, 320, 204, 264, 27148, 273, 3599, 497, 275, 4285, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1104, 322, 37987, 19, 2819, 19, 7073, 330, 334, 4285, 5496, 1014, 19, 204, 264, 338, 3599, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3599, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 19417, 1014, 397, 275, 7101, 353, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 5988, 275, 3599, 974, 275, 800, 3599, 588, 204, 268, 407, 1104, 64, 5763, 68, 417, 66, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 3599, 7101, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 2694, 3599, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 3142, 68, 668, 68, 12295, 68, 531, 68, 5763, 13, 5763, 31, 14573, 19, 5763, 19, 13676, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 8847, 830, 6973, 497, 275, 4285, 3599, 19, 204, 204, 264, 457, 31, 204, 264, 338, 3599, 322, 37987, 19, 5763, 19, 13676, 330, 334, 4285, 19417, 1014, 19, 204, 204, 264, 475, 31, 204, 264, 338, 959, 397, 275, 2661, 353, 2707, 17, 2130, 1078, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3182, 830, 6973, 497, 275, 3599, 974, 275, 4032, 68, 13054, 1216, 204, 268, 3599, 19, 2756, 68, 13054, 34136, 204, 268, 407, 959, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 3243, 12844, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 3142, 6973, 31, 463, 74, 743, 204, 268, 407, 1078, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 7450, 1727, 2072, 204, 264, 2442, 289, 379, 29938, 19, 1845, 19, 21, 19, 2825, 12, 204, 264, 2054, 289, 1233, 4966, 29, 204, 264, 1104, 68, 417, 289, 379, 10517, 493, 12, 204, 264, 3599, 68, 417, 289, 379, 10071, 12, 204, 204, 264, 314, 9050, 273, 1727, 311, 275, 7450, 1014, 204, 264, 1545, 289, 7087, 68, 8946, 68, 2602, 13, 2463, 17, 2054, 14, 204, 264, 397, 1545, 31, 204, 268, 314, 5988, 275, 1104, 329, 3599, 204, 268, 1104, 289, 2694, 68, 8946, 68, 2819, 13, 1723, 17, 1104, 68, 417, 14, 204, 268, 397, 1104, 31, 204, 305, 3599, 289, 2694, 68, 8946, 68, 5763, 13, 2819, 17, 3599, 68, 417, 14, 204, 305, 397, 3599, 31, 204, 485, 314, 3182, 830, 6973, 497, 275, 3599, 204, 485, 397, 3142, 68, 668, 68, 12295, 68, 531, 68, 5763, 13, 5763, 330, 204, 895, 456, 499, 5797, 6973, 5748, 4073, 431, 204, 485, 902, 31, 204, 895, 456, 499, 3504, 311, 3142, 6973, 431, 204, 305, 902, 31, 204, 485, 456, 499, 3504, 311, 2694, 3599, 431, 204, 268, 902, 31, 204, 305, 456, 499, 3504, 311, 2694, 1104, 431, 204, 268, 314, 5706, 275, 7450, 1545, 204, 268, 1545, 19, 3529, 374, 204, 264, 902, 31, 204, 268, 456, 499, 3504, 311, 2601, 311, 7450, 431, 204, 204, 403, 589, 417, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 21574, 6713, 35009, 226, 47520, 9760, 408, 42829, 9760, 408, 23496, 9760, 408, 5784, 2436, 24460, 6522, 725, 24937, 19600, 24460, 6522, 725, 9620, 4758, 2815, 24460, 6522, 408, 6281, 4924, 16670, 22342, 408, 22965, 33924, 16670, 22342, 408, 9195, 22342, 2114, 408, 26326, 408, 7403, 2321, 4562, 408, 37854, 408, 14337, 29193, 4562, 408, 9057, 4402, 4562, 408, 4402, 21161, 2148, 408, 12054, 41458, 4562, 408, 32534, 41458, 4562, 408, 35130, 41458, 408, 24066, 8208, 12744, 3058, 11032, 21424, 725, 12709, 26326, 725, 9734, 27921, 725, 34376, 27921, 408, 4250, 25656, 11338, 725, 4250, 40073, 30462, 725, 3883, 4250, 30462, 408, 29908, 23056, 408, 42304, 2148, 408, 9195, 15898, 25383, 408, 34634, 16412, 725, 9195, 45439, 408, 38469, 16412, 408, 6226, 9107, 21630, 4562, 725, 19193, 2739, 2738, 8350, 725, 48352, 30462, 725, 7169, 2134, 2968, 2642, 725, 8275, 13573, 7217, 3429, 6522, 1955, 568, 204, 29908, 2338, 32332, 20633, 2006, 226, 13749, 4499, 11679, 11338, 408, 42304, 42895, 408, 4224, 4250, 14669, 408, 21793, 2359, 408, 22603, 408, 10000, 5057, 408, 15865, 2148, 408, 37685, 23056, 408, 13865, 9352, 4384, 408, 4250, 30699, 408, 14650, 4402, 4562, 408, 6969, 24460, 16161, 725, 3429, 6969, 16161, 3058, 32332, 20633, 2006, 47520, 725, 42829, 725, 23496, 1227, 27472, 4499, 1955, 568, 204, 20064, 2338, 7447, 2654, 226, 7333, 2321, 4562, 408, 1432, 11494, 2654, 23056, 408, 47520, 3476, 2034, 725, 5548, 16791, 17399, 2564, 408, 8255, 13630, 6658, 1955, 568, 204, 18244, 18840, 226, 2575, 10020, 2148, 725, 13099, 3841, 47520, 725, 3716, 3841, 47520, 725, 4758, 43918, 3491, 8360, 17902, 725, 23047, 8208, 9760, 725, 1725, 260, 12078, 2114, 408, 2321, 6730, 2114, 1955, 568, 204, 3079, 1843, 42563, 226, 2949, 4741, 26326, 725, 7403, 2321, 4562, 725, 9438, 14650, 16161, 725, 7897, 1971, 30462, 725, 9195, 11338, 2114, 725, 8612, 2034, 1674, 9760, 1955, 568, 204, 10822, 6770, 7782, 4136, 6233, 6770, 2677, 5709, 17172, 8612, 5038, 6770, 2677, 47, 40, 725, 20463, 725, 40, 47, 10412, 9189, 25612, 332, 9155, 412, 1143, 565, 56, 408, 47, 39, 1955, 7221, 34196, 6770, 408, 12994, 42359, 6631, 7624, 16312, 23006, 12644, 4438, 6770, 16412, 7371, 568, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 1400, 204, 204, 461, 1900, 68, 2017, 68, 481, 68, 2160, 13, 920, 68, 2160, 31, 421, 17, 1006, 68, 876, 31, 421, 17, 846, 68, 876, 31, 421, 14, 393, 458, 64, 2644, 64, 339, 17, 421, 2440, 204, 264, 320, 204, 264, 2069, 273, 458, 302, 424, 1728, 440, 1400, 469, 18, 1309, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 2160, 322, 339, 330, 334, 542, 302, 424, 1728, 311, 1900, 19, 204, 268, 1006, 68, 876, 322, 339, 330, 334, 2311, 469, 18, 876, 19, 204, 268, 846, 68, 876, 322, 339, 330, 334, 1646, 469, 18, 876, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 2644, 64, 339, 17, 421, 2440, 332, 458, 302, 424, 1728, 19, 204, 264, 320, 204, 264, 314, 2069, 610, 18, 1309, 448, 273, 933, 302, 886, 497, 500, 311, 771, 68, 2160, 338, 368, 204, 264, 314, 329, 469, 18, 1309, 448, 1400, 1892, 1283, 1006, 68, 876, 329, 846, 68, 876, 204, 264, 407, 6229, 78, 17, 1400, 19, 5574, 13, 885, 68, 876, 17, 846, 68, 876, 602, 348, 296, 292, 933, 13, 920, 68, 2160, 2395, 204, 204, 461, 1807, 68, 481, 68, 2160, 13, 481, 68, 2160, 31, 458, 64, 2644, 64, 339, 17, 421, 4395, 1724, 31, 394, 289, 388, 10300, 1594, 16361, 431, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 424, 1728, 448, 273, 11250, 1807, 329, 273, 1007, 1807, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 2160, 322, 655, 64, 2644, 64, 339, 17, 421, 3795, 334, 424, 1728, 311, 1807, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 1807, 19, 1243, 311, 388, 10300, 1594, 16361, 2948, 204, 264, 320, 204, 264, 314, 21374, 610, 329, 469, 1019, 497, 275, 424, 1728, 204, 264, 610, 68, 1309, 17, 469, 68, 1309, 289, 4337, 4934, 481, 68, 2160, 14, 204, 204, 264, 314, 666, 275, 1807, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 1003, 17, 887, 602, 204, 264, 1513, 19, 10129, 13, 93, 68, 1309, 17, 469, 68, 1309, 17, 1848, 833, 8683, 491, 1800, 833, 35116, 3045, 534, 204, 264, 1513, 19, 1657, 13, 93, 68, 1309, 17, 469, 68, 1309, 17, 1848, 833, 6267, 491, 1800, 833, 9576, 3045, 534, 204, 204, 264, 314, 1255, 1724, 329, 1769, 204, 264, 1513, 19, 1778, 13, 1778, 14, 204, 264, 1513, 19, 7246, 611, 61, 18, 3399, 534, 204, 264, 1513, 19, 7127, 611, 62, 18, 3399, 534, 204, 204, 264, 314, 1255, 12092, 204, 264, 1513, 19, 9042, 374, 204, 204, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 1900, 329, 1807, 1400, 424, 1728, 19, 204, 264, 320, 204, 264, 314, 968, 2072, 204, 264, 771, 68, 2160, 289, 931, 204, 264, 1006, 68, 876, 289, 1199, 204, 264, 846, 68, 876, 289, 2846, 204, 204, 264, 314, 2069, 424, 1728, 204, 264, 424, 68, 2160, 289, 1900, 68, 2017, 68, 481, 68, 2160, 13, 920, 68, 2160, 17, 1006, 68, 876, 17, 846, 68, 876, 14, 204, 204, 264, 314, 3045, 424, 1728, 204, 264, 1807, 68, 481, 68, 2160, 13, 481, 68, 2160, 17, 1724, 1022, 10300, 1594, 16361, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 38, 1481, 275, 2688, 440, 18429, 46978, 204, 50, 10960, 404, 280, 15921, 347, 874, 1742, 5202, 3060, 23124, 21932, 2077, 4362, 21280, 275, 2688, 884, 12337, 19, 1785, 874, 10547, 1742, 7595, 630, 34206, 1838, 17, 329, 874, 21944, 1792, 3942, 302, 16166, 19, 4496, 2077, 29584, 270, 651, 448, 28609, 275, 2804, 20918, 317, 46539, 974, 1698, 17090, 329, 1792, 15738, 7081, 2842, 2090, 2077, 5166, 34969, 651, 19, 1547, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7117, 273, 6273, 302, 10879, 17, 329, 13972, 275, 2804, 2390, 1922, 329, 7724, 401, 18, 48066, 19, 204, 2310, 874, 1425, 1742, 7595, 630, 1792, 8725, 17, 497, 3332, 275, 2688, 329, 3100, 275, 5427, 19, 334, 2804, 1466, 4382, 630, 19811, 275, 9464, 5168, 6, 204, 8390, 2804, 10342, 292, 13453, 302, 1475, 497, 3332, 275, 2688, 19, 3433, 25623, 16337, 275, 13453, 1882, 801, 690, 329, 7535, 1475, 311, 275, 300, 3614, 836, 1680, 5682, 292, 275, 11510, 19, 204, 3837, 884, 88, 4382, 311, 3020, 275, 2804, 874, 22986, 1818, 1025, 275, 11510, 17, 329, 874, 273, 2318, 21960, 348, 3100, 19, 12320, 2124, 717, 7186, 529, 11188, 17, 329, 275, 2804, 8336, 311, 23912, 1475, 19, 3433, 874, 273, 4382, 35834, 348, 508, 17330, 1330, 273, 717, 801, 270, 662, 869, 1742, 4481, 523, 275, 21409, 19, 334, 2284, 578, 8123, 869, 1742, 11311, 685, 273, 6273, 329, 353, 3060, 7458, 32, 275, 2804, 529, 43925, 3100, 275, 4669, 14126, 292, 5589, 17, 329, 15620, 311, 717, 7494, 2589, 2344, 19, 204, 673, 2804, 8336, 11375, 292, 5589, 17, 329, 572, 6296, 11375, 2589, 2344, 19, 334, 2804, 7051, 10582, 39314, 2077, 2821, 7186, 329, 4636, 440, 886, 19, 204, 673, 2804, 292, 801, 2928, 280, 529, 3100, 6833, 95, 311, 1340, 848, 904, 329, 572, 529, 3100, 1662, 311, 1225, 4430, 329, 6635, 19, 1058, 353, 4382, 348, 9218, 4361, 6173, 17, 329, 490, 353, 23548, 311, 3020, 275, 10212, 2804, 14644, 275, 17465, 2804, 292, 275, 850, 19, 204, 33098, 353, 11311, 329, 275, 2804, 529, 22802, 5202, 27098, 1465, 18751, 5217, 29965, 19, 1785, 874, 1742, 27682, 2077, 18751, 12843, 7829, 348, 2077, 18751, 2248, 19, 15601, 1882, 2077, 26412, 4801, 13852, 572, 6911, 18751, 19615, 329, 46851, 311, 636, 7829, 348, 275, 1043, 302, 11157, 19, 334, 2804, 1675, 9453, 523, 311, 1895, 273, 2871, 311, 1640, 1017, 4583, 48343, 19, 23975, 329, 46851, 529, 273, 4382, 2501, 348, 2804, 311, 2390, 25861, 329, 273, 2501, 348, 1475, 311, 10647, 1792, 7186, 19, 204, 7020, 11157, 6982, 451, 17, 572, 618, 3524, 275, 2804, 884, 88, 3100, 14193, 329, 1012, 311, 10647, 2077, 18751, 275, 2283, 19615, 17, 46851, 329, 904, 9819, 329, 11975, 6196, 19, 0, 647, 1875, 204, 647, 1127, 204, 647, 30537, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 647, 6835, 204, 204, 8, 4861, 204, 38139, 4380, 289, 40989, 204, 37, 266, 664, 30736, 96, 10936, 8478, 28823, 8679, 17, 204, 1724, 2508, 7874, 273, 42595, 302, 2695, 7405, 40875, 20049, 516, 36, 332, 2991, 9954, 348, 3594, 6030, 6009, 12375, 299, 1522, 204, 2799, 2508, 57, 44095, 502, 20299, 533, 23163, 329, 16367, 30289, 329, 313, 2881, 290, 1144, 5617, 329, 26177, 1282, 39357, 11704, 36621, 1522, 204, 2016, 1778, 2508, 7460, 37277, 1522, 204, 1324, 2508, 8679, 98, 204, 98, 204, 315, 204, 204, 25809, 289, 30537, 19, 42636, 13, 204, 264, 40989, 204, 10936, 8478, 28823, 19961, 311, 14561, 3793, 292, 11772, 2717, 18, 6452, 299, 17, 426, 8165, 273, 17540, 5384, 302, 1855, 275, 4711, 204, 13, 2004, 4005, 1275, 10942, 34760, 448, 437, 1451, 2016, 17, 1425, 1917, 440, 275, 1485, 14, 329, 275, 3269, 490, 353, 8286, 292, 19, 592, 204, 1819, 8365, 17, 490, 3192, 3888, 496, 4426, 8534, 18, 2290, 16018, 17, 732, 302, 4916, 2323, 329, 2323, 25165, 6121, 17, 204, 416, 11031, 1068, 6459, 19, 204, 10936, 8478, 28823, 353, 273, 717, 5568, 302, 2717, 18, 6452, 299, 1485, 32154, 1877, 1451, 2016, 26156, 348, 35073, 3651, 5384, 302, 204, 70, 3397, 19, 204, 315, 204, 14, 204, 3778, 289, 388, 3189, 1963, 88, 24, 18, 354, 18, 9965, 18, 23, 19, 36366, 19, 1453, 20, 1678, 23, 18, 15697, 20, 481, 20, 10936, 8478, 28823, 18, 59, 22, 18, 56, 738, 8679, 19, 5714, 7, 204, 204, 204, 676, 3594, 8478, 28823, 2108, 13, 8271, 19, 12201, 2108, 330, 204, 264, 320, 12201, 2108, 348, 3594, 8478, 28823, 1485, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 424, 68, 1217, 31, 394, 17, 930, 2251, 330, 204, 268, 320, 12413, 275, 38314, 2108, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 1217, 322, 325, 330, 12985, 348, 275, 800, 1485, 588, 19, 204, 305, 930, 2251, 31, 14839, 1906, 348, 29685, 311, 2234, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 2256, 34, 8271, 19, 11223, 499, 22, 19, 21, 19, 21, 528, 27945, 930, 2251, 14, 204, 268, 370, 19, 481, 68, 1217, 289, 424, 68, 1217, 204, 204, 204, 676, 3594, 8478, 28823, 13, 8271, 19, 6574, 17996, 12201, 330, 204, 264, 320, 10936, 8478, 28823, 1485, 1279, 204, 204, 264, 35547, 289, 6835, 19, 11223, 499, 21, 19, 22, 19, 21, 431, 204, 264, 27860, 3884, 9118, 68, 9926, 56, 289, 551, 204, 268, 3594, 8478, 28823, 2108, 13, 204, 305, 588, 1022, 660, 528, 204, 305, 2342, 34, 492, 15290, 19, 42636, 13, 204, 485, 320, 204, 485, 1547, 9995, 302, 720, 17, 4957, 28, 3536, 18, 4352, 20482, 18, 2201, 6218, 3888, 322, 25, 17, 4957, 28, 951, 17, 5106, 7801, 17, 5106, 683, 659, 204, 485, 928, 18793, 275, 5384, 302, 273, 2637, 1622, 2154, 1001, 302, 368, 17, 38053, 6836, 6218, 10942, 329, 275, 1650, 302, 1605, 10942, 311, 11695, 204, 485, 13026, 19, 1765, 1737, 17, 275, 1485, 6019, 273, 4707, 497, 848, 2717, 311, 275, 6836, 6218, 3718, 490, 867, 7784, 311, 204, 485, 18793, 19, 12375, 299, 3594, 8478, 28823, 3888, 6481, 4916, 9055, 2323, 6121, 17, 508, 13782, 292, 275, 2016, 19, 334, 3888, 17, 204, 485, 560, 3440, 17, 529, 21827, 34177, 560, 1855, 273, 14052, 18, 6070, 3372, 329, 273, 1142, 401, 18, 17738, 3372, 19, 39195, 5829, 204, 485, 7222, 41706, 7940, 3332, 2753, 10, 523, 3594, 8478, 28823, 17, 12637, 273, 3403, 10602, 311, 275, 19218, 10, 3666, 302, 28905, 18, 8938, 19, 204, 485, 320, 204, 305, 5334, 204, 305, 424, 68, 1217, 1022, 8952, 528, 204, 268, 5334, 204, 268, 3594, 8478, 28823, 2108, 13, 204, 305, 588, 1022, 16684, 528, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3664, 2154, 19050, 528, 3404, 1022, 1219, 431, 204, 264, 456, 13, 2182, 14, 204, 0, 676, 6109, 24660, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 456, 3157, 440, 1448, 24299, 19, 204, 204, 264, 1532, 31, 204, 268, 7929, 322, 325, 330, 334, 7929, 311, 444, 27396, 311, 275, 537, 782, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 7929, 31, 394, 289, 8930, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 6109, 24660, 440, 273, 800, 7929, 19, 204, 204, 268, 457, 31, 204, 305, 7929, 322, 325, 330, 334, 7929, 311, 444, 27396, 311, 275, 537, 782, 19, 1243, 311, 437, 1392, 782, 19, 204, 268, 320, 204, 268, 370, 19, 10301, 289, 7929, 204, 204, 264, 436, 456, 68, 1031, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 537, 782, 204, 268, 456, 13, 768, 68, 1031, 14, 204, 204, 264, 436, 456, 68, 1031, 68, 2004, 68, 10301, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 537, 782, 329, 45410, 275, 7929, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 537, 782, 440, 275, 7929, 204, 268, 456, 13, 75, 1954, 768, 68, 1031, 98, 463, 327, 19, 10301, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12938, 275, 1265, 302, 275, 6109, 24660, 850, 19, 204, 264, 320, 204, 264, 314, 666, 273, 6109, 24660, 1014, 440, 275, 7929, 379, 39246, 12, 204, 264, 19439, 289, 6109, 24660, 611, 39246, 534, 204, 615, 264, 314, 1198, 275, 537, 782, 379, 13493, 12, 204, 264, 19439, 19, 2102, 68, 1031, 611, 13493, 534, 204, 615, 264, 314, 1198, 275, 537, 782, 379, 13493, 12, 440, 275, 7929, 379, 39246, 12, 204, 264, 19439, 19, 2102, 68, 1031, 68, 2004, 68, 10301, 611, 13493, 534, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 3730, 7598, 31482, 34754, 22852, 20026, 10454, 3812, 7530, 942, 3941, 26509, 16517, 6677, 2235, 568, 19956, 15453, 5159, 2638, 4828, 22852, 20026, 4286, 7756, 31482, 408, 14513, 1111, 2879, 12298, 19534, 32562, 6677, 6523, 408, 7228, 2544, 30510, 12869, 2879, 10314, 26456, 1398, 21224, 1111, 1822, 2729, 3248, 408, 1603, 4518, 4500, 1764, 19956, 15453, 5159, 460, 4821, 6347, 16566, 17928, 3380, 408, 2778, 13376, 1111, 4136, 9438, 8058, 460, 5552, 1579, 568, 16517, 6677, 2235, 18876, 22852, 20026, 460, 4106, 2455, 408, 29705, 22852, 20026, 921, 16309, 19689, 3841, 16517, 6677, 2235, 39400, 3357, 11356, 408, 16517, 2235, 6677, 31006, 12869, 408, 3167, 4015, 43504, 15630, 3903, 4002, 29968, 408, 41611, 23073, 1116, 1734, 121, 40656, 1456, 25460, 6908, 120, 8293, 568, 204, 16517, 6677, 2235, 3730, 7598, 4136, 2098, 13578, 1111, 4134, 23, 2903, 2300, 2544, 14510, 408, 16517, 6677, 2235, 46465, 42762, 1227, 23050, 1776, 1458, 23462, 34295, 12397, 9477, 33852, 408, 6079, 6663, 8356, 3031, 9157, 17808, 10886, 4136, 2098, 13578, 1227, 23050, 30108, 19916, 226, 21389, 20421, 28156, 9238, 408, 16517, 6677, 2235, 2778, 3293, 2568, 10484, 1390, 2822, 2433, 4138, 990, 8464, 26196, 408, 10272, 15453, 5159, 42762, 4265, 4747, 4747, 3591, 124, 5629, 16517, 6677, 2235, 831, 4286, 408, 1970, 9620, 5002, 1951, 9477, 33852, 408, 1970, 18260, 1456, 11409, 9163, 22852, 20026, 408, 11409, 11808, 11632, 12812, 39475, 408, 11409, 17808, 41611, 23073, 1116, 1734, 121, 40656, 35142, 2174, 1990, 568, 204, 3878, 17165, 408, 22501, 1024, 255, 3013, 19956, 19874, 1367, 15453, 5159, 28388, 460, 35741, 408, 11563, 34849, 1111, 4134, 2218, 4987, 1929, 1565, 4462, 11107, 23217, 19956, 2638, 4828, 18892, 25038, 8481, 568, 8829, 3036, 408, 6385, 12812, 23117, 408, 24592, 48303, 3994, 8552, 18850, 460, 12812, 39475, 408, 18892, 25038, 8481, 2499, 3994, 11563, 34849, 460, 28874, 3656, 921, 1111, 23, 2903, 2300, 2544, 2729, 1116, 4197, 1438, 2773, 568, 18892, 25038, 8481, 4525, 2382, 1527, 13507, 1764, 26135, 12235, 21141, 408, 7413, 23117, 39475, 6225, 45955, 2730, 568, 29705, 408, 18892, 25038, 8481, 1227, 5564, 3178, 8914, 27556, 460, 4906, 5727, 6225, 1524, 2849, 408, 18892, 25038, 8481, 1886, 21141, 3994, 1970, 3136, 11563, 34849, 568, 204, 18892, 25038, 8481, 8356, 3031, 408, 1622, 27570, 1254, 3994, 14041, 16229, 31006, 1773, 11066, 5788, 27556, 408, 10282, 20916, 33365, 1251, 408, 3038, 9536, 1527, 2675, 10364, 1970, 3500, 13934, 4740, 5429, 568, 13284, 23117, 2402, 3730, 37568, 27556, 1191, 408, 3038, 20572, 7813, 2278, 2766, 2405, 3730, 408, 5299, 23060, 10886, 11107, 2642, 3725, 10904, 18892, 3833, 4126, 2299, 4348, 5873, 3276, 11259, 31738, 408, 1527, 30640, 2461, 105, 1111, 568, 1527, 12510, 1111, 408, 35994, 1527, 10222, 31499, 2174, 408, 3038, 4126, 2382, 1527, 13507, 1764, 33495, 6663, 568, 1527, 2675, 23734, 408, 2766, 7965, 5227, 3994, 11583, 15020, 14322, 408, 844, 258, 3357, 37568, 45094, 6744, 10886, 3464, 11978, 6540, 204, 18892, 25038, 8481, 13814, 1565, 20588, 14513, 19956, 15453, 5159, 408, 3463, 2034, 24792, 12321, 3774, 28069, 1003, 5485, 5340, 3513, 241, 408, 42836, 20224, 3699, 4298, 16, 2898, 1377, 4828, 12630, 408, 24795, 19956, 4821, 23726, 2411, 1111, 2300, 1565, 5428, 6278, 14365, 25281, 725, 1909, 22530, 14365, 25281, 408, 1845, 1565, 2218, 24795, 19534, 2324, 4079, 5552, 1579, 408, 2823, 4348, 1899, 7388, 12049, 29, 3476, 408, 2891, 20588, 19956, 3733, 2299, 1603, 16270, 23109, 5840, 6677, 17247, 460, 31738, 1191, 408, 2218, 4348, 1899, 831, 14198, 25670, 460, 9487, 48599, 568, 18892, 25038, 8481, 10529, 1638, 10214, 1565, 27, 2903, 19278, 21141, 11563, 34849, 408, 1946, 4882, 1670, 3463, 2034, 9993, 5062, 39109, 25038, 3598, 13332, 4821, 1227, 5564, 3178, 8914, 4821, 568, 204, 19956, 15453, 5159, 16639, 2499, 1579, 8562, 4293, 127, 4293, 127, 1111, 4134, 19956, 15453, 5159, 1390, 20588, 990, 4348, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8552, 1505, 1001, 29360, 4828, 20026, 31319, 9603, 1689, 5788, 4821, 1111, 408, 30510, 10654, 22, 20539, 8547, 27556, 3240, 5727, 408, 6765, 17394, 3774, 460, 2218, 14037, 22707, 8056, 23521, 42045, 4298, 408, 1002, 46843, 1926, 1764, 568, 3167, 4172, 2386, 12235, 18014, 408, 8185, 22501, 854, 7388, 12049, 33129, 53, 40149, 408, 4136, 1191, 5253, 1191, 12298, 19534, 6510, 2359, 6722, 10286, 20026, 31319, 9603, 1689, 568, 6462, 3476, 4821, 31273, 20026, 31319, 9603, 1689, 408, 6385, 30538, 2638, 4828, 408, 1191, 5253, 1191, 45773, 19534, 2860, 1191, 12298, 19534, 1432, 2499, 2218, 3131, 1579, 33568, 4239, 22538, 26840, 568, 0, 2920, 311, 888, 275, 11756, 302, 346, 578, 348, 273, 571, 18, 29579, 21021, 204, 204, 1449, 949, 275, 1302, 302, 275, 19263, 348, 273, 571, 18, 12217, 7130, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 21153, 275, 19265, 1385, 9881, 322, 15652, 40, 12541, 888, 275, 472, 15901, 560, 9137, 275, 7130, 677, 2347, 6374, 560, 368, 19, 1511, 329, 1675, 8631, 275, 722, 560, 275, 6264, 19, 204, 204, 262, 12082, 31, 472, 15901, 289, 322, 17882, 25521, 610, 368, 19, 1511, 14, 802, 25795, 204, 204, 262, 1165, 31, 1765, 273, 571, 18, 12217, 7130, 440, 273, 2347, 6374, 302, 931, 31067, 329, 273, 6264, 302, 5953, 59, 17, 275, 472, 15901, 1784, 444, 31, 204, 262, 472, 15901, 289, 322, 1003, 31067, 610, 368, 19, 1511, 14, 802, 5953, 59, 289, 7207, 19, 1511, 332, 18789, 204, 204, 23, 19, 930, 11479, 275, 14623, 14258, 18, 17076, 281, 7806, 302, 275, 346, 578, 1416, 1974, 275, 790, 18, 5365, 17883, 5960, 1435, 348, 275, 1187, 302, 19263, 872, 7188, 974, 311, 1020, 275, 2311, 4393, 18, 26991, 1864, 1945, 311, 7918, 275, 1713, 790, 19, 204, 204, 262, 1165, 31, 828, 275, 472, 15901, 353, 7207, 19, 1511, 332, 18789, 329, 872, 7188, 974, 273, 17423, 19263, 17, 275, 2311, 4393, 18, 26991, 1864, 1945, 348, 275, 19263, 1784, 444, 681, 649, 3231, 19, 204, 204, 24, 19, 930, 11479, 275, 25795, 9738, 1416, 1974, 275, 1581, 628, 5613, 289, 322, 46, 610, 361, 14, 802, 3861, 17, 1273, 382, 353, 275, 790, 292, 332, 18789, 329, 361, 353, 275, 6795, 302, 275, 19263, 292, 14560, 1015, 19, 9251, 275, 6264, 5790, 1583, 508, 15464, 571, 10, 302, 275, 1113, 6264, 19, 204, 204, 25, 19, 930, 10894, 275, 1736, 22799, 316, 346, 578, 11756, 1416, 1974, 275, 5630, 1917, 292, 275, 5946, 20049, 8756, 311, 2694, 275, 19263, 1302, 1609, 523, 275, 3392, 2311, 4393, 18, 26991, 1864, 329, 1646, 6264, 5790, 19, 204, 204, 3609, 2631, 1605, 3214, 17, 872, 618, 4897, 496, 872, 874, 275, 1706, 19263, 1302, 348, 1214, 571, 18, 12217, 7130, 15175, 19, 0, 673, 1917, 1068, 1583, 508, 918, 273, 2824, 2821, 1844, 311, 444, 9900, 19, 3355, 17, 490, 6644, 311, 444, 273, 16715, 521, 7506, 1465, 273, 14756, 523, 542, 5194, 348, 273, 1233, 427, 18, 5280, 850, 19, 716, 204, 3719, 572, 1466, 311, 1967, 329, 838, 273, 1844, 1609, 523, 275, 1483, 800, 17, 1051, 2237, 2717, 2549, 444, 31, 204, 204, 3728, 353, 275, 2712, 1283, 4193, 886, 329, 4835, 886, 36, 204, 204, 4706, 31, 204, 28106, 886, 529, 1376, 348, 11375, 329, 1012, 497, 368, 322, 22, 17, 435, 17, 571, 17, 681, 17, 3168, 789, 30036, 886, 17, 523, 275, 904, 1922, 17, 2255, 2962, 292, 4998, 311, 275, 4193, 886, 322, 21, 17, 368, 17, 435, 17, 571, 17, 681, 17, 3168, 789, 716, 204, 12129, 2237, 2717, 2549, 444, 31, 204, 204, 3728, 529, 275, 10569, 302, 8793, 329, 19141, 886, 36, 204, 204, 4706, 31, 204, 39830, 886, 618, 444, 8286, 448, 1892, 521, 6249, 329, 1741, 874, 15979, 15467, 19, 3433, 618, 13441, 311, 1182, 1194, 1051, 6980, 1627, 19, 13756, 15742, 886, 17, 5862, 17, 874, 4048, 1019, 496, 3524, 24061, 2900, 273, 2679, 329, 770, 508, 2255, 1892, 521, 6249, 19, 1346, 1763, 302, 437, 19141, 542, 353, 3724, 19, 0, 531, 1804, 532, 1804, 17, 8351, 204, 531, 1498, 532, 783, 204, 531, 9987, 532, 12532, 204, 204, 531, 7249, 68, 1803, 19, 1234, 19, 772, 19, 19124, 19, 3823, 532, 3678, 68, 5404, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 4022, 19, 8614, 4186, 10478, 12385, 532, 31764, 10478, 12385, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 32699, 19, 1443, 19, 10478, 5725, 532, 10385, 5725, 204, 531, 2617, 772, 19, 3295, 3313, 532, 3301, 3313, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 4108, 19, 16624, 2940, 532, 11490, 2940, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 32699, 19, 1935, 19, 3295, 2628, 532, 3301, 2628, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 32699, 19, 1935, 19, 596, 532, 7252, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 32699, 19, 1935, 19, 10478, 19573, 532, 10385, 19573, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 481, 19, 481, 19, 10478, 989, 532, 10385, 989, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 481, 19, 4108, 19, 13789, 48803, 532, 17551, 48803, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 2754, 19, 46, 10478, 23654, 532, 382, 10478, 23654, 204, 204, 204, 676, 10385, 23654, 13, 3295, 3313, 17, 382, 10478, 23654, 330, 204, 264, 320, 204, 264, 332, 2624, 10663, 7029, 348, 11696, 8499, 329, 6886, 2805, 19, 204, 264, 320, 204, 204, 264, 436, 636, 68, 2715, 68, 4022, 13, 327, 17, 15796, 68, 359, 31, 12532, 17, 2755, 68, 16652, 31, 783, 64, 325, 694, 393, 10385, 19573, 31, 204, 268, 320, 204, 268, 4071, 275, 1682, 2755, 2624, 348, 275, 800, 15796, 1222, 329, 2755, 19299, 19, 204, 204, 268, 457, 31, 204, 305, 15796, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 15796, 19, 204, 305, 2755, 68, 16652, 322, 1218, 64, 325, 1037, 334, 458, 302, 2755, 19299, 19, 204, 204, 268, 475, 31, 204, 305, 10385, 19573, 31, 334, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1682, 2755, 2624, 1483, 19, 204, 268, 320, 204, 268, 314, 977, 275, 958, 726, 204, 268, 958, 289, 10385, 19573, 374, 204, 204, 268, 314, 4055, 273, 1104, 4391, 204, 268, 370, 19, 3348, 19, 1530, 68, 7305, 374, 204, 268, 810, 31, 204, 305, 314, 6676, 275, 15796, 2428, 204, 305, 370, 806, 4216, 68, 20163, 68, 2960, 13, 20163, 68, 359, 14, 204, 204, 305, 314, 763, 275, 1682, 4476, 2624, 204, 305, 2624, 289, 370, 806, 505, 68, 2715, 68, 8382, 68, 4022, 13, 6772, 68, 16652, 14, 204, 204, 305, 314, 20276, 275, 2624, 204, 305, 370, 806, 1278, 68, 4022, 13, 4022, 19, 4022, 68, 359, 14, 204, 204, 305, 314, 1716, 275, 958, 440, 275, 2624, 1483, 204, 305, 958, 289, 10385, 19573, 13, 8614, 4186, 10478, 12385, 13, 4022, 19, 4022, 68, 359, 17, 2624, 19, 932, 17, 2624, 19, 2170, 17, 2624, 19, 11202, 68, 932, 602, 204, 204, 268, 827, 17551, 48803, 448, 508, 68, 10213, 68, 4108, 31, 204, 305, 314, 1426, 275, 508, 1193, 2710, 204, 305, 370, 806, 4103, 68, 1551, 68, 10213, 68, 4108, 13, 1551, 68, 10213, 68, 4108, 17, 958, 14, 204, 268, 827, 11490, 2940, 448, 4802, 68, 4108, 31, 204, 305, 314, 1426, 275, 4802, 2710, 204, 305, 370, 806, 4103, 68, 5234, 68, 4108, 13, 5234, 68, 4108, 17, 958, 14, 204, 268, 827, 1319, 448, 2710, 31, 204, 305, 314, 1426, 275, 7843, 2710, 204, 305, 370, 806, 4103, 68, 15662, 68, 4108, 13, 4108, 17, 958, 14, 204, 204, 268, 407, 958, 204, 204, 264, 436, 9345, 68, 4022, 13, 327, 17, 15796, 68, 359, 31, 12532, 17, 722, 31, 10385, 5725, 14, 393, 3301, 2628, 31, 204, 268, 320, 204, 268, 10480, 14255, 275, 2624, 440, 275, 800, 722, 19, 204, 204, 268, 457, 31, 204, 305, 15796, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 15796, 19, 204, 305, 722, 322, 10478, 5725, 330, 334, 722, 302, 275, 2624, 19, 204, 204, 268, 475, 31, 204, 305, 3301, 2628, 31, 334, 958, 5850, 3855, 275, 2624, 867, 10689, 4073, 19, 204, 268, 320, 204, 268, 314, 977, 275, 958, 726, 204, 268, 958, 289, 3301, 2628, 374, 204, 204, 268, 314, 4055, 273, 1104, 4391, 204, 268, 370, 19, 3348, 19, 1530, 68, 7305, 374, 204, 268, 810, 31, 204, 305, 314, 6676, 275, 15796, 2428, 204, 305, 370, 806, 4216, 68, 20163, 68, 2960, 13, 20163, 68, 359, 14, 204, 204, 305, 314, 40683, 275, 2624, 204, 305, 370, 19, 8827, 19, 19604, 68, 4022, 13, 1300, 19, 4022, 68, 359, 17, 15796, 68, 359, 14, 204, 204, 305, 314, 3325, 275, 2624, 722, 204, 305, 370, 806, 1616, 68, 4022, 68, 1300, 13, 1300, 14, 204, 204, 305, 314, 1716, 275, 958, 440, 1978, 204, 305, 958, 289, 3301, 2628, 13, 1021, 14, 204, 204, 268, 827, 17551, 48803, 448, 508, 68, 10213, 68, 4108, 31, 204, 305, 314, 1426, 275, 508, 1193, 2710, 204, 305, 370, 806, 4103, 68, 1551, 68, 10213, 68, 4108, 13, 1551, 68, 10213, 68, 4108, 17, 958, 14, 204, 268, 827, 11490, 2940, 448, 4802, 68, 4108, 31, 204, 305, 314, 1426, 275, 4802, 2710, 204, 305, 370, 806, 4103, 68, 5234, 68, 4108, 13, 5234, 68, 4108, 17, 958, 14, 204, 268, 827, 1319, 448, 2710, 31, 204, 305, 314, 1426, 275, 7843, 2710, 204, 305, 370, 806, 4103, 68, 15662, 68, 4108, 13, 4108, 17, 958, 14, 204, 204, 268, 407, 958, 204, 204, 264, 436, 906, 4216, 68, 20163, 68, 2960, 13, 327, 17, 15796, 68, 359, 31, 12532, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19795, 273, 2428, 497, 275, 15796, 440, 275, 800, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 15796, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 15796, 19, 204, 268, 320, 204, 268, 314, 6676, 275, 15796, 2428, 204, 268, 370, 19, 3348, 19, 20163, 68, 574, 1528, 4216, 68, 2960, 13, 20163, 68, 359, 14, 204, 204, 264, 436, 906, 505, 68, 2715, 68, 8382, 68, 4022, 13, 327, 17, 2755, 68, 16652, 31, 783, 64, 325, 694, 393, 10385, 989, 31, 204, 268, 320, 204, 268, 4071, 275, 1682, 4476, 2624, 497, 275, 458, 302, 2755, 19299, 19, 204, 204, 268, 457, 31, 204, 305, 2755, 68, 16652, 322, 1218, 64, 325, 1037, 334, 458, 302, 2755, 19299, 19, 204, 204, 268, 475, 31, 204, 305, 10385, 989, 31, 334, 1682, 4476, 2624, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1682, 4476, 2624, 204, 268, 407, 370, 19, 3348, 19, 4022, 68, 574, 1528, 505, 68, 2715, 68, 8382, 68, 266, 68, 11202, 68, 655, 13, 6772, 68, 16652, 14, 204, 204, 264, 436, 906, 1278, 68, 4022, 13, 327, 17, 2624, 68, 359, 31, 12532, 14, 393, 443, 31, 204, 268, 320, 204, 268, 964, 8099, 275, 2624, 440, 275, 800, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 2624, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 2624, 19, 204, 268, 320, 204, 268, 314, 20276, 275, 2624, 204, 268, 370, 19, 3348, 19, 4022, 68, 574, 1528, 1278, 13, 4022, 68, 359, 14, 204, 268, 370, 19, 3348, 19, 2360, 374, 204, 268, 370, 19, 3348, 19, 4827, 374, 204, 204, 264, 436, 906, 1616, 68, 4022, 68, 1300, 13, 327, 17, 722, 31, 10385, 5725, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9506, 275, 2624, 722, 19, 204, 204, 268, 457, 31, 204, 305, 722, 322, 10478, 5725, 330, 334, 722, 302, 275, 2624, 19, 204, 268, 320, 204, 268, 314, 3325, 848, 2624, 292, 275, 722, 204, 268, 348, 2624, 292, 722, 19, 4022, 68, 655, 31, 204, 305, 314, 2069, 273, 2220, 3678, 348, 275, 2624, 1029, 204, 305, 2220, 68, 4074, 289, 3678, 68, 5404, 1528, 4776, 68, 2170, 68, 4074, 13, 4022, 19, 2170, 14, 204, 204, 305, 810, 31, 204, 485, 314, 763, 275, 4449, 2624, 560, 3678, 204, 485, 4449, 68, 4022, 289, 370, 19, 3348, 19, 4022, 68, 574, 1528, 505, 68, 1424, 68, 4074, 13, 5271, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4074, 14, 204, 204, 485, 314, 778, 397, 275, 2624, 353, 23391, 329, 869, 18498, 204, 485, 30621, 68, 672, 289, 4449, 68, 4022, 19, 672, 68, 15612, 465, 8351, 13, 4936, 34, 28, 14, 204, 485, 397, 30621, 68, 672, 962, 1804, 19, 1520, 374, 329, 4449, 68, 4022, 19, 24041, 31, 204, 895, 314, 1628, 1278, 275, 2624, 204, 895, 370, 19, 3348, 19, 4022, 68, 574, 1528, 48465, 13, 14028, 68, 4022, 19, 4022, 68, 359, 14, 204, 305, 827, 17551, 48803, 31, 204, 485, 314, 666, 273, 717, 2624, 397, 490, 1583, 508, 1337, 204, 485, 717, 68, 4022, 289, 10385, 989, 13, 4022, 19, 4022, 68, 932, 17, 2624, 19, 2170, 17, 1078, 17, 2624, 19, 20163, 68, 359, 17, 2624, 19, 11202, 68, 932, 14, 204, 485, 370, 19, 3348, 19, 4022, 68, 574, 1528, 826, 13, 1957, 68, 4022, 14, 204, 204, 268, 314, 3025, 329, 5791, 275, 3731, 204, 268, 370, 19, 3348, 19, 2360, 374, 204, 268, 370, 19, 3348, 19, 4827, 374, 204, 204, 264, 436, 906, 4103, 68, 1551, 68, 10213, 68, 4108, 13, 327, 17, 2710, 31, 17551, 48803, 17, 958, 31, 3301, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 508, 1193, 2710, 19, 204, 204, 268, 457, 31, 204, 305, 2710, 322, 13789, 48803, 330, 334, 508, 1193, 2710, 19, 204, 305, 958, 322, 3295, 2628, 330, 334, 958, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 32166, 275, 4391, 204, 268, 370, 19, 3348, 19, 19398, 374, 204, 204, 268, 314, 1716, 275, 958, 440, 275, 908, 204, 268, 958, 19, 574, 68, 718, 13, 596, 611, 5379, 2995, 491, 9485, 17, 2710, 19, 1454, 602, 204, 204, 264, 436, 906, 4103, 68, 5234, 68, 4108, 13, 327, 17, 2710, 31, 11490, 2940, 17, 958, 31, 3301, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 4802, 2710, 19, 204, 204, 268, 457, 31, 204, 305, 2710, 322, 16624, 2940, 330, 334, 4802, 2710, 19, 204, 305, 958, 322, 3295, 2628, 330, 334, 958, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 32166, 275, 4391, 204, 268, 370, 19, 3348, 19, 19398, 374, 204, 204, 268, 314, 1716, 275, 958, 440, 275, 908, 204, 268, 958, 19, 574, 68, 718, 13, 596, 499, 23450, 40187, 528, 5106, 17, 2710, 19, 1454, 602, 204, 268, 456, 13, 4108, 14, 204, 204, 264, 436, 906, 4103, 68, 15662, 68, 4108, 13, 327, 17, 2710, 31, 1319, 17, 958, 31, 3301, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 7843, 2710, 19, 204, 204, 268, 457, 31, 204, 305, 2710, 322, 2940, 330, 334, 7843, 2710, 19, 204, 305, 958, 322, 3295, 2628, 330, 334, 958, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 32166, 275, 4391, 204, 268, 370, 19, 3348, 19, 19398, 374, 204, 204, 268, 314, 1716, 275, 958, 440, 275, 908, 204, 268, 958, 19, 574, 68, 718, 13, 596, 499, 23450, 40187, 528, 5106, 17, 2710, 3925, 325, 367, 5887, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 204, 461, 1137, 68, 935, 13, 553, 68, 546, 31, 394, 14, 393, 645, 19, 766, 1152, 443, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 1152, 443, 31, 334, 3271, 752, 17, 521, 443, 397, 275, 510, 353, 508, 1193, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1151, 275, 752, 497, 275, 510, 204, 268, 407, 1513, 19, 10465, 13, 553, 68, 546, 14, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 596, 31, 3207, 510, 3318, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 443, 204, 204, 461, 838, 68, 7208, 13, 935, 31, 645, 19, 766, 14, 393, 927, 64, 14480, 19, 11600, 17, 1513, 19, 16571, 744, 204, 264, 320, 204, 264, 666, 273, 717, 4368, 440, 275, 1729, 7857, 3726, 448, 275, 752, 19, 204, 204, 264, 457, 31, 204, 264, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 732, 348, 275, 4368, 1302, 19, 204, 204, 264, 475, 31, 204, 264, 927, 64, 14480, 19, 11600, 17, 1513, 19, 16571, 744, 334, 1966, 4368, 329, 1163, 8648, 19, 204, 264, 320, 204, 264, 314, 1986, 275, 1853, 329, 2198, 302, 275, 752, 204, 264, 1853, 17, 2198, 17, 906, 289, 752, 19, 1827, 204, 615, 264, 314, 888, 275, 4368, 1302, 1609, 523, 275, 752, 5150, 204, 264, 4368, 68, 835, 289, 322, 2435, 802, 1607, 17, 1853, 802, 1607, 14, 204, 615, 264, 314, 666, 273, 717, 4368, 440, 275, 3392, 1302, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 11390, 34, 7208, 68, 835, 14, 204, 615, 264, 314, 8174, 2258, 275, 3138, 204, 264, 1711, 19, 3399, 611, 3008, 534, 204, 615, 264, 407, 2836, 17, 1711, 204, 204, 461, 2106, 68, 7208, 13, 601, 31, 1513, 19, 11600, 17, 1711, 31, 1513, 19, 16571, 17, 752, 31, 645, 19, 766, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 275, 4368, 311, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 2836, 322, 14480, 19, 11600, 330, 334, 4368, 311, 2106, 19, 204, 264, 1711, 322, 14480, 19, 16571, 330, 334, 8648, 302, 275, 4368, 19, 204, 264, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 2037, 292, 275, 4368, 19, 204, 264, 919, 68, 553, 322, 325, 330, 334, 832, 311, 2106, 275, 4368, 19, 204, 264, 320, 204, 264, 314, 3740, 275, 752, 523, 275, 8648, 204, 264, 1711, 19, 8122, 13, 935, 14, 204, 615, 264, 314, 3025, 275, 4368, 311, 275, 1713, 510, 204, 264, 1513, 19, 12273, 13, 1420, 68, 553, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 314, 968, 275, 537, 329, 919, 510, 3630, 204, 264, 752, 68, 553, 289, 379, 22, 19, 4955, 12, 204, 264, 919, 68, 553, 289, 379, 1510, 19, 4955, 12, 204, 615, 264, 314, 1385, 275, 752, 497, 275, 510, 204, 264, 752, 289, 1137, 68, 935, 13, 935, 68, 553, 14, 204, 615, 264, 314, 778, 397, 275, 752, 867, 3271, 4073, 204, 264, 397, 752, 353, 508, 443, 31, 204, 268, 314, 666, 273, 717, 4368, 329, 8648, 348, 275, 752, 204, 268, 2836, 17, 1711, 289, 838, 68, 7208, 13, 935, 14, 204, 822, 268, 314, 3025, 275, 4368, 311, 275, 919, 510, 204, 268, 2106, 68, 7208, 13, 601, 17, 1711, 17, 752, 17, 919, 68, 553, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 777, 32156, 31, 43368, 329, 34653, 7802, 15210, 28449, 777, 204, 204, 777, 38481, 4626, 2416, 2390, 17, 3953, 17, 329, 3120, 308, 19286, 329, 34055, 3542, 6058, 1094, 311, 2885, 275, 5025, 12130, 700, 302, 7155, 10293, 11773, 1609, 523, 1017, 10569, 19, 204, 204, 777, 34264, 4626, 204, 204, 22, 19, 42293, 8928, 31, 2415, 5301, 302, 8224, 2817, 204, 23, 19, 12022, 1044, 31, 542, 302, 25771, 292, 275, 5343, 204, 24, 19, 9200, 87, 2083, 31, 542, 302, 4943, 1105, 87, 2083, 204, 25, 19, 13995, 31, 2523, 302, 275, 5343, 322, 12193, 14, 204, 26, 19, 3242, 20423, 4545, 31, 5025, 12130, 700, 322, 427, 36211, 302, 14532, 14, 204, 204, 777, 40915, 4626, 204, 204, 1380, 565, 19286, 7802, 15210, 204, 204, 22, 19, 930, 43, 5600, 8928, 9790, 19, 3242, 20423, 4545, 4626, 204, 203, 15, 5128, 273, 11250, 1807, 440, 42293, 8928, 448, 275, 6403, 1554, 329, 3242, 20423, 4545, 448, 275, 10742, 1554, 19, 204, 203, 15, 6461, 275, 308, 19286, 3542, 6058, 1581, 329, 468, 67, 23, 292, 275, 1582, 19, 204, 203, 15, 10006, 15168, 397, 1422, 353, 273, 3542, 3633, 1283, 275, 970, 2558, 19, 204, 23, 19, 930, 14167, 9790, 19, 3242, 20423, 4545, 4626, 204, 203, 15, 5128, 273, 11250, 1807, 440, 13995, 448, 275, 6403, 1554, 329, 3242, 20423, 4545, 448, 275, 10742, 1554, 19, 204, 203, 15, 6461, 275, 308, 19286, 3542, 6058, 1581, 329, 468, 67, 23, 292, 275, 1582, 19, 204, 203, 15, 10006, 15168, 397, 1422, 353, 273, 3542, 3633, 1283, 275, 970, 2558, 19, 204, 204, 1380, 15210, 11865, 204, 204, 22, 19, 930, 43, 5600, 8928, 329, 3242, 20423, 4545, 4626, 204, 203, 15, 1974, 6057, 677, 11865, 23026, 53, 934, 311, 7575, 273, 6058, 4249, 19, 204, 203, 15, 4347, 397, 42293, 8928, 353, 273, 4883, 14888, 302, 3242, 20423, 4545, 19, 204, 23, 19, 930, 14167, 329, 3242, 20423, 4545, 4626, 204, 203, 15, 1974, 6057, 677, 11865, 23026, 53, 934, 311, 7575, 273, 6058, 4249, 19, 204, 203, 15, 4347, 397, 13995, 353, 273, 4883, 14888, 302, 3242, 20423, 4545, 19, 204, 204, 1380, 17914, 15210, 3746, 204, 204, 22, 19, 930, 18984, 3746, 4626, 204, 203, 15, 1974, 6057, 677, 11865, 23026, 53, 934, 311, 7575, 273, 6058, 4249, 440, 3242, 20423, 4545, 448, 275, 10742, 1554, 329, 42293, 8928, 17, 12022, 1044, 17, 9200, 87, 2083, 17, 329, 13995, 448, 6403, 2558, 19, 204, 203, 15, 4347, 275, 8926, 4185, 468, 67, 23, 329, 14201, 468, 67, 23, 19, 204, 23, 19, 930, 9650, 25329, 2680, 511, 1854, 4626, 204, 203, 15, 8554, 275, 4883, 35327, 630, 11181, 289, 500, 19, 4779, 19, 204, 203, 15, 4347, 928, 35327, 618, 444, 26239, 19, 204, 24, 19, 930, 12222, 3746, 4626, 204, 203, 15, 1974, 1698, 42293, 8928, 329, 12022, 1044, 448, 35327, 19, 204, 203, 15, 4347, 275, 2423, 570, 1581, 19, 204, 204, 1380, 27097, 204, 204, 22, 19, 930, 5039, 20423, 956, 15591, 4626, 204, 203, 15, 1974, 275, 2423, 570, 311, 949, 275, 28500, 700, 302, 273, 7155, 10293, 5343, 440, 273, 8224, 1864, 302, 571, 4589, 5223, 19, 9732, 2458, 435, 25771, 17, 329, 5082, 2153, 2181, 8518, 19, 204, 203, 15, 8139, 275, 3392, 28500, 700, 440, 275, 700, 292, 275, 1104, 19, 204, 204, 777, 12222, 3746, 13288, 4626, 204, 5039, 20423, 4545, 289, 19685, 19, 30, 465, 500, 19, 4635, 610, 42293, 8928, 465, 15066, 19, 5091, 610, 12022, 1044, 204, 204, 777, 5063, 15591, 4626, 204, 3070, 273, 7155, 10293, 5343, 440, 273, 8224, 1864, 302, 571, 4589, 5223, 19, 9732, 19, 329, 435, 25771, 31, 204, 5039, 20423, 4545, 289, 19685, 19, 30, 465, 500, 19, 4635, 610, 571, 4589, 465, 15066, 19, 5091, 610, 435, 204, 34, 19685, 19, 30, 465, 1233, 1003, 465, 32650, 19, 6996, 204, 34, 27116, 23, 19, 8667, 204, 204, 7108, 31, 1058, 4183, 18479, 496, 275, 2423, 570, 1581, 353, 1706, 329, 496, 275, 1019, 529, 292, 275, 1706, 4099, 322, 427, 36211, 302, 14532, 789, 0, 647, 1127, 204, 647, 4845, 204, 647, 2821, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 29248, 68, 16273, 448, 24377, 204, 204, 647, 1895, 601, 23, 448, 309, 204, 647, 717, 601, 448, 23985, 716, 204, 647, 2281, 448, 306, 204, 647, 7009, 23, 448, 273, 204, 204, 461, 1356, 68, 7270, 13, 553, 68, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 778, 397, 275, 510, 588, 3192, 379, 7270, 2625, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 379, 71, 12, 397, 379, 7270, 12, 353, 1193, 17, 379, 87, 12, 2130, 19, 204, 264, 320, 204, 264, 407, 379, 71, 12, 397, 379, 7270, 12, 292, 510, 68, 417, 902, 379, 87, 12, 204, 204, 461, 838, 68, 2100, 13, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 666, 273, 1445, 397, 490, 1583, 508, 1337, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 1445, 19, 204, 264, 320, 204, 264, 397, 508, 1127, 19, 546, 19, 16249, 13, 546, 330, 204, 268, 1127, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 13986, 13, 546, 14, 204, 204, 461, 9831, 68, 16707, 271, 68, 16273, 13, 204, 264, 510, 68, 546, 31, 394, 17, 716, 264, 510, 68, 1217, 31, 394, 17, 716, 264, 3101, 68, 553, 68, 417, 31, 394, 17, 716, 264, 2281, 68, 481, 31, 1109, 289, 959, 17, 716, 264, 7009, 68, 481, 31, 1109, 289, 959, 17, 716, 264, 1895, 68, 33299, 31, 1109, 289, 959, 17, 716, 264, 44993, 31, 1109, 289, 959, 17, 716, 264, 12359, 6054, 31, 1109, 289, 959, 17, 716, 264, 8136, 971, 31, 1109, 289, 1078, 17, 716, 264, 771, 68, 2604, 31, 421, 289, 931, 777, 28, 17, 716, 264, 846, 68, 2604, 31, 421, 289, 931, 777, 29, 17, 716, 264, 1136, 68, 834, 31, 421, 289, 931, 777, 1258, 17, 204, 264, 1934, 31, 818, 289, 48085, 17, 716, 264, 10879, 31, 818, 289, 435, 15, 1003, 777, 18, 29, 17, 716, 264, 303, 4977, 68, 93, 6620, 31, 818, 289, 571, 19, 27, 15, 1003, 777, 18, 1003, 17, 716, 264, 37151, 68, 93, 6620, 31, 818, 289, 571, 19, 27, 15, 1003, 777, 2422, 1003, 659, 204, 264, 724, 68, 285, 2138, 31, 818, 289, 21920, 17, 716, 264, 724, 68, 22310, 31, 818, 289, 10850, 17, 716, 264, 12260, 68, 26597, 31, 818, 289, 1132, 1909, 17, 716, 264, 468, 31, 818, 289, 931, 17, 204, 264, 23478, 31, 818, 289, 1132, 19, 30, 540, 931, 777, 2422, 2353, 659, 716, 264, 300, 31, 818, 289, 368, 19, 24, 17, 716, 264, 724, 68, 3512, 31, 818, 289, 368, 17, 716, 264, 724, 68, 75, 2320, 31, 818, 289, 368, 17, 716, 264, 724, 68, 1847, 31, 818, 289, 2031, 1207, 17, 204, 264, 4611, 1949, 31, 818, 289, 368, 17, 716, 264, 13268, 31, 818, 289, 720, 2177, 17, 716, 264, 16127, 68, 14887, 87, 31, 818, 289, 500, 19, 26, 17, 716, 264, 15649, 68, 1205, 31, 818, 289, 5074, 17, 716, 264, 4671, 68, 1796, 31, 818, 289, 571, 13971, 17, 716, 264, 23803, 31, 818, 289, 368, 19, 25, 17, 716, 264, 9373, 68, 3115, 31, 818, 289, 368, 17, 716, 264, 17192, 31, 818, 289, 500, 19, 22, 17, 716, 264, 300, 68, 11747, 5152, 31, 818, 289, 368, 17, 716, 264, 8227, 68, 834, 31, 818, 289, 1168, 3145, 17, 716, 264, 1877, 68, 24390, 31, 818, 289, 500, 17, 716, 264, 1552, 31, 421, 289, 435, 17, 716, 264, 2291, 31, 394, 289, 388, 89, 23, 528, 716, 264, 357, 1123, 34710, 31, 818, 289, 1199, 17, 716, 264, 771, 68, 11060, 31, 421, 289, 30493, 17, 716, 264, 15649, 68, 11060, 31, 421, 289, 10923, 17, 716, 264, 6505, 31, 421, 289, 571, 17, 716, 264, 10168, 31, 421, 289, 500, 17, 716, 264, 20108, 22, 31, 818, 289, 500, 17, 716, 264, 284, 3011, 68, 21974, 31, 818, 289, 1607, 17, 716, 264, 690, 68, 2290, 31, 818, 289, 2031, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 7877, 329, 7009, 29248, 8200, 424, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 268, 510, 68, 1217, 322, 325, 330, 334, 1445, 302, 275, 510, 19, 204, 268, 3101, 68, 553, 68, 417, 322, 325, 330, 334, 3101, 588, 302, 275, 510, 19, 204, 268, 2281, 68, 481, 322, 2107, 17, 1448, 330, 2266, 311, 2281, 424, 19, 1243, 311, 959, 19, 204, 268, 7009, 68, 481, 322, 2107, 17, 1448, 330, 2266, 311, 7009, 424, 19, 1243, 311, 959, 19, 204, 268, 1895, 68, 33299, 322, 2107, 17, 1448, 330, 2266, 311, 1895, 11057, 19, 1243, 311, 959, 19, 204, 268, 44993, 322, 2107, 17, 1448, 330, 2266, 311, 732, 44993, 19, 1243, 311, 959, 19, 204, 268, 12359, 6054, 322, 2107, 17, 1448, 330, 2266, 311, 732, 12359, 6054, 19, 1243, 311, 959, 19, 204, 268, 8136, 971, 322, 2107, 17, 1448, 330, 2266, 311, 732, 8136, 971, 19, 1243, 311, 1078, 19, 204, 268, 771, 68, 2604, 322, 339, 17, 1448, 330, 334, 542, 302, 2238, 19, 1243, 311, 931, 777, 28, 19, 204, 268, 846, 68, 2604, 322, 339, 17, 1448, 330, 334, 1646, 542, 302, 2238, 19, 1243, 311, 931, 777, 29, 19, 204, 268, 1136, 68, 834, 322, 339, 17, 1448, 330, 334, 1136, 690, 19, 1243, 311, 931, 777, 1258, 19, 204, 268, 1934, 322, 996, 17, 1448, 330, 334, 3312, 19, 1243, 311, 48085, 19, 204, 268, 10879, 322, 996, 17, 1448, 330, 334, 10879, 19, 1243, 311, 435, 15, 1003, 777, 18, 29, 19, 204, 268, 303, 4977, 68, 93, 6620, 322, 996, 17, 1448, 330, 334, 303, 4977, 4393, 4446, 19, 1243, 311, 571, 19, 27, 15, 1003, 777, 18, 1003, 19, 204, 268, 37151, 68, 93, 6620, 322, 996, 17, 1448, 330, 334, 37151, 4393, 4446, 19, 1243, 311, 571, 19, 27, 15, 1003, 777, 2422, 1003, 789, 204, 268, 724, 68, 285, 2138, 322, 996, 17, 1448, 330, 334, 355, 2138, 2233, 19, 1243, 311, 21920, 19, 204, 268, 724, 68, 22310, 322, 996, 17, 1448, 330, 334, 16075, 2233, 19, 1243, 311, 10850, 19, 204, 268, 12260, 68, 26597, 322, 996, 17, 1448, 330, 334, 18848, 13268, 19, 1243, 311, 1132, 1909, 19, 204, 268, 468, 322, 996, 17, 1448, 330, 334, 3441, 19, 1243, 311, 931, 19, 204, 268, 23478, 322, 996, 17, 1448, 330, 334, 23478, 19, 1243, 311, 1132, 19, 30, 540, 931, 777, 2422, 2353, 789, 204, 268, 300, 322, 996, 17, 1448, 330, 334, 29850, 1112, 19, 1243, 311, 368, 19, 24, 19, 204, 268, 724, 68, 3512, 322, 996, 17, 1448, 330, 334, 3312, 2233, 19, 1243, 311, 368, 19, 204, 268, 724, 68, 75, 2320, 322, 996, 17, 1448, 330, 334, 283, 2320, 2233, 19, 1243, 311, 368, 19, 204, 268, 724, 68, 1847, 322, 996, 17, 1448, 330, 334, 1102, 2233, 19, 1243, 311, 2031, 1207, 19, 204, 268, 4611, 1949, 322, 996, 17, 1448, 330, 334, 19312, 2233, 19, 1243, 311, 368, 19, 204, 268, 13268, 322, 996, 17, 1448, 330, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 334, 13268, 19, 1243, 311, 720, 2177, 19, 204, 268, 16127, 68, 14887, 87, 322, 996, 17, 1448, 330, 334, 16127, 2347, 19, 1243, 311, 500, 19, 26, 19, 204, 268, 15649, 68, 1205, 322, 996, 17, 1448, 330, 334, 15649, 1277, 19, 1243, 311, 5074, 19, 204, 268, 4671, 68, 1796, 322, 996, 17, 1448, 330, 334, 18243, 1277, 19, 1243, 311, 571, 13971, 19, 204, 268, 23803, 322, 996, 17, 1448, 330, 334, 8247, 32987, 19, 1243, 311, 368, 19, 25, 19, 204, 268, 9373, 68, 3115, 322, 996, 17, 1448, 330, 334, 9373, 4442, 19, 1243, 311, 368, 19, 204, 268, 17192, 322, 996, 17, 1448, 330, 334, 17192, 19, 1243, 311, 500, 19, 22, 19, 204, 268, 300, 68, 11747, 5152, 322, 996, 17, 1448, 330, 334, 542, 302, 33144, 5152, 19, 1243, 311, 368, 19, 204, 268, 8227, 68, 834, 322, 996, 17, 1448, 330, 334, 8227, 690, 19, 1243, 311, 1168, 3145, 19, 204, 268, 1877, 68, 24390, 322, 996, 17, 1448, 330, 334, 1877, 15649, 19, 1243, 311, 500, 19, 204, 268, 1552, 322, 339, 17, 1448, 330, 334, 1552, 19, 1243, 311, 435, 19, 204, 268, 2291, 322, 325, 17, 1448, 330, 334, 2291, 19, 1243, 311, 388, 89, 23, 2948, 204, 268, 357, 1123, 34710, 322, 996, 17, 1448, 330, 334, 357, 1123, 34710, 19, 1243, 311, 1199, 19, 204, 268, 771, 68, 11060, 322, 339, 17, 1448, 330, 334, 542, 302, 11466, 19, 1243, 311, 30493, 19, 204, 268, 15649, 68, 11060, 322, 339, 17, 1448, 330, 334, 542, 302, 15649, 11466, 19, 1243, 311, 10923, 19, 204, 268, 6505, 322, 339, 17, 1448, 330, 334, 542, 302, 6505, 19, 1243, 311, 571, 19, 204, 268, 10168, 322, 339, 17, 1448, 330, 334, 1767, 19, 1243, 311, 500, 19, 204, 268, 20108, 22, 322, 996, 17, 1448, 330, 334, 20108, 22, 19, 1243, 311, 500, 19, 204, 268, 284, 3011, 68, 21974, 322, 996, 17, 1448, 330, 334, 284, 3011, 17181, 19, 1243, 311, 1607, 19, 204, 268, 690, 68, 2290, 322, 996, 17, 1448, 330, 334, 690, 1660, 19, 1243, 311, 2031, 19, 204, 264, 320, 204, 264, 314, 666, 7887, 204, 264, 838, 68, 2100, 13, 553, 68, 546, 14, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 20525, 989, 3687, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 23321, 981, 3687, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 20525, 989, 528, 510, 68, 1217, 602, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 23321, 981, 528, 510, 68, 1217, 602, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 20525, 989, 528, 510, 68, 1217, 17, 3101, 68, 553, 68, 417, 602, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 23321, 981, 528, 510, 68, 1217, 17, 3101, 68, 553, 68, 417, 602, 204, 204, 264, 314, 3400, 424, 204, 264, 397, 2281, 68, 481, 31, 204, 268, 306, 19, 2206, 13, 204, 305, 510, 68, 546, 17, 716, 305, 510, 68, 1217, 17, 716, 305, 3101, 68, 553, 68, 417, 17, 716, 305, 12359, 6054, 17, 716, 305, 44993, 17, 716, 305, 8136, 971, 17, 716, 305, 771, 68, 2604, 17, 716, 305, 846, 68, 2604, 17, 716, 305, 1136, 68, 834, 17, 716, 305, 1934, 17, 716, 305, 10879, 17, 716, 305, 303, 4977, 68, 93, 6620, 17, 716, 305, 37151, 68, 93, 6620, 17, 716, 305, 724, 68, 285, 2138, 17, 716, 305, 724, 68, 75, 2320, 17, 716, 305, 724, 68, 1847, 17, 716, 305, 724, 68, 22310, 17, 716, 305, 724, 68, 3512, 17, 716, 305, 12260, 68, 26597, 17, 716, 305, 468, 17, 716, 305, 23478, 17, 716, 305, 300, 17, 716, 305, 4611, 1949, 17, 716, 305, 13268, 17, 716, 305, 16127, 68, 14887, 87, 17, 716, 305, 15649, 68, 1205, 17, 716, 305, 4671, 68, 1796, 17, 716, 305, 23803, 17, 716, 305, 9373, 68, 3115, 17, 716, 305, 17192, 17, 716, 305, 300, 68, 11747, 5152, 17, 716, 305, 8227, 68, 834, 17, 716, 305, 1877, 68, 24390, 17, 716, 305, 690, 68, 2290, 17, 716, 305, 6505, 17, 716, 305, 10168, 17, 716, 305, 20108, 22, 204, 268, 1179, 204, 204, 264, 314, 12589, 424, 204, 264, 397, 7009, 68, 481, 31, 204, 268, 273, 19, 24498, 13, 204, 305, 510, 68, 546, 17, 716, 305, 510, 68, 1217, 17, 716, 305, 3101, 68, 553, 68, 417, 17, 716, 305, 771, 68, 2604, 17, 716, 305, 1552, 17, 716, 305, 2291, 17, 716, 305, 357, 1123, 34710, 17, 716, 305, 771, 68, 11060, 17, 716, 305, 15649, 68, 11060, 17, 716, 305, 6505, 17, 716, 305, 1895, 68, 33299, 17, 716, 305, 309, 19, 5934, 70, 601, 17, 716, 305, 8136, 971, 17, 716, 305, 284, 3011, 68, 21974, 17, 716, 305, 4611, 1949, 204, 268, 1179, 204, 204, 264, 314, 3867, 11057, 204, 264, 397, 1895, 68, 33299, 31, 204, 268, 314, 1255, 1576, 311, 1895, 11057, 3237, 204, 268, 1879, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 510, 68, 546, 289, 388, 546, 20, 633, 20, 553, 7, 204, 264, 510, 68, 1217, 289, 388, 2100, 7, 204, 264, 3101, 68, 553, 68, 417, 289, 388, 553, 68, 417, 7, 204, 264, 9831, 68, 16707, 271, 68, 16273, 13, 553, 68, 546, 17, 510, 68, 1217, 17, 3101, 68, 553, 68, 417, 14, 204, 0, 531, 5920, 532, 7664, 204, 204, 461, 1040, 68, 1982, 342, 2527, 13, 88, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 36365, 496, 618, 444, 7196, 497, 275, 800, 782, 19, 204, 204, 264, 334, 782, 1856, 918, 275, 2724, 379, 39, 491, 379, 38, 491, 379, 49, 491, 379, 52, 491, 329, 379, 51, 2625, 204, 264, 7616, 20878, 6481, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 368, 379, 39, 491, 368, 379, 38, 491, 435, 379, 49, 677, 17, 435, 379, 52, 677, 17, 329, 368, 379, 51, 2625, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 36365, 496, 618, 444, 7196, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1945, 4442, 348, 848, 1943, 204, 264, 1945, 68, 3115, 289, 2552, 39, 597, 368, 17, 379, 38, 597, 368, 17, 379, 49, 597, 435, 17, 379, 52, 597, 435, 17, 379, 51, 597, 368, 98, 204, 204, 264, 314, 3398, 275, 7428, 302, 848, 1943, 292, 275, 782, 204, 264, 1125, 68, 3115, 289, 7664, 13, 72, 348, 279, 292, 297, 397, 279, 292, 1945, 68, 3115, 14, 204, 204, 264, 314, 888, 275, 1646, 542, 302, 36365, 496, 618, 444, 7196, 204, 264, 314, 560, 8631, 275, 1040, 302, 848, 1943, 560, 275, 1945, 1040, 204, 264, 314, 329, 6432, 275, 2311, 302, 1605, 1019, 204, 264, 20878, 68, 765, 289, 1006, 13, 204, 268, 1125, 68, 3115, 19, 505, 13, 2441, 17, 500, 14, 3166, 1945, 68, 3115, 64, 2441, 66, 204, 268, 348, 1125, 292, 1945, 68, 3115, 204, 264, 1179, 204, 204, 264, 407, 20878, 68, 765, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 537, 68, 325, 289, 379, 11595, 52, 4755, 49, 4859, 23000, 49, 5709, 19005, 12, 204, 264, 456, 13, 765, 68, 1982, 342, 2527, 13, 768, 68, 325, 602, 204, 0, 461, 456, 68, 21687, 68, 2626, 13, 2626, 68, 1205, 31, 421, 17, 19312, 68, 765, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 1767, 302, 886, 497, 500, 311, 1767, 68, 1205, 18, 22, 17, 7947, 19312, 68, 765, 2666, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 1767, 311, 444, 9425, 19, 204, 268, 19312, 68, 765, 322, 339, 330, 334, 542, 302, 2666, 311, 9437, 275, 1767, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1974, 273, 10756, 3546, 311, 9437, 275, 1767, 204, 264, 348, 906, 292, 933, 13, 7331, 12104, 68, 765, 330, 204, 268, 314, 1198, 275, 1767, 497, 500, 311, 1767, 68, 1205, 18, 22, 204, 268, 348, 542, 292, 933, 13, 2626, 68, 1205, 330, 204, 305, 456, 13, 1190, 14, 204, 204, 8, 1165, 1265, 31, 204, 2102, 68, 21687, 68, 2626, 13, 26, 17, 720, 14, 204, 0, 647, 1875, 204, 647, 1034, 2562, 204, 531, 26392, 19, 31213, 532, 17660, 204, 204, 461, 3142, 68, 5331, 4434, 28, 68, 12798, 13, 18785, 68, 1031, 31, 3154, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 3182, 34412, 8451, 8, 28, 5204, 497, 273, 7480, 782, 19, 204, 204, 264, 1164, 2394, 12329, 68, 1031, 31, 334, 12329, 7480, 782, 204, 264, 1164, 3309, 31, 334, 794, 18785, 7480, 782, 204, 264, 320, 204, 264, 314, 3182, 275, 34412, 8451, 8, 28, 5204, 497, 275, 7480, 782, 204, 264, 407, 12329, 68, 1031, 9128, 18785, 68, 1031, 3327, 22, 2629, 204, 204, 461, 15194, 68, 481, 13, 16452, 68, 481, 31, 3154, 17, 896, 31, 3154, 17, 5520, 68, 3828, 31, 3154, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 19498, 424, 974, 17660, 292, 346, 10294, 2291, 19, 204, 204, 264, 1164, 2394, 8079, 68, 481, 31, 334, 8079, 424, 204, 264, 1164, 2394, 896, 31, 334, 11255, 896, 204, 264, 1164, 2394, 5520, 68, 3828, 31, 334, 7934, 2450, 204, 264, 1164, 3309, 31, 334, 12225, 424, 204, 264, 320, 204, 264, 314, 666, 437, 17660, 8384, 726, 292, 346, 10294, 2291, 204, 264, 8384, 289, 17660, 19, 1957, 13, 644, 17, 17660, 19, 7847, 68, 46435, 17, 5520, 68, 3828, 14, 204, 264, 314, 19498, 275, 424, 204, 264, 407, 8384, 19, 20480, 13, 16452, 68, 481, 14, 204, 204, 461, 2252, 68, 1775, 68, 481, 13, 1775, 68, 481, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 2735, 2084, 424, 497, 273, 782, 19, 204, 204, 264, 1164, 2394, 1875, 68, 481, 31, 334, 2084, 424, 448, 273, 782, 204, 264, 1164, 3309, 31, 334, 3634, 2084, 424, 448, 273, 955, 204, 264, 320, 204, 264, 314, 2735, 275, 2084, 424, 204, 264, 407, 1875, 19, 5569, 13, 1775, 68, 481, 14, 204, 204, 461, 15194, 68, 1989, 13, 16452, 68, 1989, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 19498, 273, 1482, 19, 204, 204, 264, 1164, 2394, 8079, 68, 1989, 31, 334, 8079, 1482, 204, 264, 1164, 3309, 31, 334, 12225, 1482, 3678, 204, 264, 320, 204, 264, 314, 968, 275, 11255, 896, 329, 7934, 2450, 204, 264, 11255, 68, 644, 289, 308, 8761, 93, 3222, 65, 93, 5559, 65, 93, 7432, 65, 93, 6257, 65, 93, 4779, 65, 93, 7788, 65, 93, 8265, 65, 93, 7085, 65, 89, 65, 83, 65, 93, 21, 71, 65, 93, 21, 72, 65, 87, 65, 93, 21, 74, 65, 93, 21, 75, 65, 93, 1003, 12, 688, 204, 14019, 308, 8761, 93, 1641, 65, 93, 1258, 65, 93, 2353, 65, 93, 2300, 65, 93, 1909, 65, 93, 1845, 65, 93, 2314, 65, 93, 2132, 65, 93, 1794, 65, 93, 22, 70, 65, 93, 22, 71, 65, 93, 22, 72, 65, 93, 22, 73, 65, 93, 22, 74, 65, 93, 22, 75, 379, 204, 264, 7934, 68, 3828, 289, 308, 8761, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 12, 688, 204, 4511, 308, 8761, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 12, 204, 615, 264, 810, 31, 204, 268, 314, 3301, 2562, 10318, 275, 8079, 1482, 204, 268, 8079, 68, 481, 289, 1034, 2562, 19, 71, 2562, 5286, 13, 16452, 68, 1989, 14, 204, 822, 268, 314, 19498, 275, 424, 204, 268, 12225, 68, 481, 289, 15194, 68, 481, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 16452, 68, 481, 17, 11255, 68, 644, 17, 7934, 68, 3828, 14, 204, 822, 268, 314, 3182, 275, 34412, 8451, 8, 28, 5204, 204, 268, 794, 18785, 68, 481, 289, 3142, 68, 5331, 4434, 28, 68, 12798, 13, 29203, 68, 481, 14, 204, 822, 268, 314, 12210, 275, 794, 18785, 424, 311, 273, 782, 204, 268, 1875, 68, 481, 289, 794, 18785, 68, 481, 19, 5286, 611, 3102, 18, 29, 534, 204, 822, 268, 314, 2735, 275, 2084, 424, 204, 268, 1482, 68, 481, 289, 2252, 68, 1775, 68, 481, 13, 1775, 68, 481, 14, 204, 822, 268, 314, 455, 275, 12225, 1482, 3678, 204, 268, 407, 1482, 68, 481, 1166, 784, 9256, 20604, 1339, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 8079, 68, 1989, 289, 388, 7941, 68, 16452, 68, 1989, 7, 204, 264, 12225, 68, 1989, 68, 4074, 289, 15194, 68, 1989, 13, 16452, 68, 1989, 14, 204, 264, 456, 13, 75, 7, 47019, 1482, 3678, 31, 463, 29203, 68, 1989, 68, 4074, 743, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 315, 204, 1834, 2413, 3192, 275, 1104, 4557, 348, 275, 575, 1747, 1561, 19, 204, 315, 204, 204, 531, 589, 8991, 367, 532, 15185, 68, 17625, 204, 531, 1804, 532, 1804, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 1479, 19, 1618, 19, 15581, 532, 41143, 204, 204, 676, 19723, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4985, 302, 275, 1561, 19, 204, 264, 320, 204, 264, 850, 19723, 2191, 31, 204, 268, 320, 204, 268, 5782, 348, 4985, 3003, 19, 204, 268, 320, 204, 268, 38384, 37790, 13799, 289, 500, 204, 268, 6250, 22008, 289, 368, 204, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 5333, 68, 3631, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 7157, 289, 1094, 19, 12043, 13, 8436, 34, 1021, 17, 5991, 68, 633, 833, 4531, 68, 2936, 534, 204, 264, 3783, 68, 1190, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 3226, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 9505, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 9624, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 3618, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 4985, 68, 932, 289, 1094, 19, 6368, 13, 2305, 34, 16187, 2191, 19, 18056, 37790, 13799, 14, 204, 264, 575, 289, 1094, 19, 20748, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 816, 19, 2574, 98, 338, 463, 327, 19, 5033, 68, 932, 2495, 204, 204, 676, 11814, 3251, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 8008, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1036, 14, 204, 264, 542, 68, 522, 68, 4280, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 676, 11262, 7839, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 677, 3680, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 542, 68, 522, 68, 19458, 68, 11039, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 16928, 11717, 463, 327, 19, 359, 2495, 204, 204, 676, 20147, 7839, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 7572, 677, 3680, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 542, 68, 522, 68, 19458, 68, 15466, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 24008, 11717, 463, 327, 19, 359, 2495, 204, 204, 676, 11262, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 4985, 289, 1094, 19, 20748, 13, 16187, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 3680, 289, 1094, 19, 20748, 13, 16928, 7839, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 16928, 463, 327, 19, 5033, 19, 816, 19, 2574, 2495, 204, 204, 676, 20147, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 7572, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 4985, 289, 1094, 19, 20748, 13, 16187, 17, 523, 68, 2756, 34, 5206, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14, 204, 264, 3680, 289, 1094, 19, 20748, 13, 24008, 7839, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 24008, 463, 327, 19, 5033, 19, 816, 19, 2574, 2495, 204, 204, 676, 7543, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1781, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 1489, 289, 1094, 19, 12860, 374, 204, 264, 1714, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 14, 204, 264, 4703, 68, 4531, 289, 1094, 19, 4483, 13, 16928, 7839, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 7572, 289, 1094, 19, 4483, 13, 24008, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 7289, 463, 327, 19, 359, 98, 338, 463, 327, 19, 1835, 2495, 204, 204, 676, 11262, 25544, 3251, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 677, 8008, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 2233, 289, 1094, 19, 18315, 13, 2305, 34, 21, 14, 204, 264, 2297, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 4703, 289, 1094, 19, 4483, 13, 16928, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 8008, 289, 1094, 19, 4483, 13, 25544, 3251, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 2220, 68, 18356, 289, 2448, 8804, 491, 379, 20380, 3251, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 8804, 19, 5033, 19, 816, 19, 2574, 98, 338, 463, 327, 19, 20380, 3251, 19, 417, 2495, 204, 204, 676, 14096, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4391, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 2297, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 1489, 289, 1094, 19, 12860, 13, 2305, 34, 2664, 19, 1520, 14, 204, 264, 4703, 289, 1094, 19, 4483, 13, 16928, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 7572, 289, 1094, 19, 4483, 13, 24008, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 14456, 463, 327, 19, 359, 98, 338, 463, 327, 19, 2895, 2495, 204, 0, 673, 3466, 302, 3284, 322, 7206, 14, 302, 273, 1874, 353, 8978, 8441, 630, 521, 13844, 4166, 275, 300, 629, 81, 292, 4757, 17, 329, 5084, 275, 300, 629, 81, 17, 14392, 311, 275, 373, 4110, 17, 292, 4598, 19, 204, 204, 5681, 970, 6453, 40255, 17, 275, 5422, 2955, 523, 848, 2061, 1882, 275, 11478, 353, 10501, 1936, 311, 275, 2955, 20835, 523, 3850, 560, 275, 904, 2061, 19, 334, 3466, 302, 3284, 302, 275, 2061, 40273, 292, 275, 2945, 302, 808, 2955, 17, 12511, 273, 2652, 292, 3581, 19, 6917, 275, 11478, 17, 275, 12186, 2955, 15539, 14255, 17, 329, 275, 15367, 5816, 353, 3913, 311, 275, 1066, 302, 830, 904, 6971, 11877, 523, 275, 2061, 19, 828, 808, 1066, 353, 2637, 17, 275, 3581, 302, 275, 27247, 302, 275, 2061, 29261, 10501, 3324, 19, 204, 204, 1449, 1020, 275, 3466, 302, 3284, 302, 437, 726, 17, 572, 618, 732, 275, 2631, 1216, 31, 204, 204, 15, 828, 437, 726, 353, 6300, 630, 273, 2852, 5104, 5084, 1163, 3466, 302, 3284, 521, 29256, 497, 273, 2852, 5104, 4166, 1163, 3466, 302, 3284, 17, 490, 1120, 444, 12218, 329, 1120, 508, 1012, 311, 11774, 19, 204, 15, 334, 3466, 302, 3284, 353, 5971, 17, 1101, 508, 4501, 17, 8441, 2614, 275, 726, 5398, 19, 204, 15, 828, 437, 726, 869, 3576, 496, 618, 2284, 440, 4130, 311, 848, 904, 17, 275, 2852, 302, 275, 3466, 302, 3284, 8788, 523, 275, 4738, 302, 275, 3576, 19, 204, 204, 837, 275, 1322, 302, 273, 11478, 17, 8454, 11531, 618, 444, 1376, 311, 2885, 275, 5914, 302, 275, 3466, 302, 3284, 302, 848, 2061, 2842, 1877, 275, 11478, 19, 4596, 8910, 12462, 677, 435, 307, 3938, 311, 437, 11586, 726, 17, 572, 618, 2885, 275, 5914, 302, 275, 3466, 302, 3284, 17, 928, 353, 275, 4398, 917, 348, 275, 726, 19, 0, 3728, 353, 275, 4794, 6871, 496, 618, 4185, 1025, 273, 265, 301, 27590, 36, 204, 204, 1449, 1020, 275, 2073, 17, 2249, 677, 1043, 3126, 275, 3633, 1283, 273, 2415, 329, 273, 6871, 19, 334, 4794, 2415, 496, 618, 4185, 1025, 273, 2350, 6871, 353, 3556, 448, 27996, 361, 398, 864, 677, 19664, 19, 334, 1653, 1277, 302, 808, 2415, 618, 444, 3392, 448, 6353, 31, 204, 204, 673, 13303, 302, 275, 2415, 529, 368, 20, 25, 302, 275, 1759, 497, 275, 8937, 302, 275, 6871, 19, 226, 204, 4931, 275, 12027, 7815, 17, 275, 1653, 1277, 302, 275, 2415, 353, 5900, 1802, 24, 20, 25, 2246, 23, 465, 322, 24, 20, 25, 2246, 23, 14, 289, 5900, 13, 30, 20, 1845, 465, 1233, 20, 1845, 14, 289, 5900, 13, 2132, 20, 1845, 14, 289, 571, 20, 25, 540, 5900, 13, 23, 789, 204, 204, 673, 1864, 302, 808, 2415, 353, 322, 24, 20, 25, 540, 5900, 13, 23, 16429, 23, 289, 1233, 20, 1845, 540, 435, 289, 1233, 20, 29, 19, 204, 204, 4063, 17, 311, 1020, 275, 4794, 6871, 496, 618, 4185, 1025, 273, 265, 301, 27590, 17, 572, 1519, 311, 4303, 504, 808, 3773, 311, 5092, 5150, 19, 334, 2073, 618, 444, 1193, 560, 26495, 275, 11316, 302, 27996, 361, 398, 864, 677, 19664, 311, 3420, 5150, 19, 204, 204, 13127, 311, 275, 9592, 8375, 4446, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 348, 27996, 361, 398, 864, 677, 19664, 17, 275, 4794, 6871, 496, 618, 4185, 292, 273, 265, 301, 27590, 869, 273, 1653, 1277, 302, 368, 18406, 23, 540, 7408, 24, 20, 23, 465, 3849, 23, 20, 23, 465, 368, 20, 23, 14, 1101, 1182, 12361, 348, 808, 1844, 329, 292, 273, 10341, 798, 353, 31, 226, 204, 2662, 1277, 289, 7408, 24, 20, 23, 465, 3849, 23, 20, 23, 465, 368, 20, 23, 14, 802, 3849, 23, 289, 7408, 23, 465, 3849, 23, 4061, 23, 716, 204, 4237, 17, 275, 2641, 2073, 353, 1182, 3700, 329, 5628, 11772, 6542, 7345, 19, 334, 1653, 1277, 302, 275, 4794, 6871, 496, 618, 4185, 292, 273, 265, 301, 27590, 353, 5387, 368, 18406, 23, 540, 7408, 23, 465, 3849, 23, 789, 0, 8, 1094, 20, 8315, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 13331, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4943, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 4943, 677, 588, 19, 204, 268, 3783, 68, 1190, 322, 325, 330, 334, 4943, 677, 3783, 542, 19, 204, 268, 1995, 322, 325, 330, 334, 4943, 677, 1995, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 264, 3783, 68, 1190, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1036, 14, 226, 314, 11328, 974, 273, 38030, 1186, 348, 4037, 3587, 204, 264, 1995, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 226, 314, 29702, 846, 1277, 348, 8426, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1094, 20, 38936, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 15053, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 11636, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 11636, 677, 588, 19, 204, 268, 2806, 68, 1190, 322, 325, 330, 334, 11636, 677, 2806, 542, 19, 204, 268, 2342, 322, 325, 330, 334, 11636, 677, 2342, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 204, 264, 2806, 68, 1190, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 226, 314, 34717, 379, 6190, 12, 311, 379, 3889, 68, 1190, 12, 348, 20040, 204, 264, 2342, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 226, 314, 34717, 379, 8968, 12, 311, 379, 2749, 12, 348, 20040, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1094, 20, 1115, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 2617, 8315, 532, 13331, 204, 531, 2617, 38936, 532, 15053, 204, 531, 1804, 532, 1804, 204, 204, 676, 5868, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 1552, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 1552, 677, 588, 19, 204, 268, 5247, 68, 834, 322, 2664, 330, 334, 1552, 677, 5247, 690, 19, 204, 268, 4943, 322, 17813, 330, 334, 4943, 1415, 2927, 275, 1552, 19, 204, 268, 24202, 322, 13243, 330, 334, 24202, 292, 275, 1552, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 204, 264, 5247, 68, 834, 31, 1804, 289, 1094, 19, 6602, 13, 2305, 34, 2664, 19, 1520, 14, 204, 264, 4943, 31, 13331, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 30270, 17, 3232, 68, 417, 833, 4783, 534, 204, 264, 24202, 31, 379, 11641, 13139, 12, 289, 1094, 19, 13243, 13, 11641, 13139, 17, 1924, 833, 8477, 11641, 13139, 534, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 5868, 11641, 13139, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 11636, 292, 437, 1552, 19, 204, 204, 264, 1532, 31, 204, 268, 1552, 322, 8477, 330, 334, 1552, 496, 275, 11636, 11038, 311, 19, 204, 268, 11636, 322, 11641, 13139, 330, 334, 11636, 5398, 19, 204, 268, 4474, 322, 339, 330, 334, 4474, 302, 275, 11636, 292, 275, 1552, 19, 204, 264, 320, 204, 264, 1552, 31, 5868, 289, 1094, 19, 4483, 13, 8477, 17, 523, 68, 2756, 34, 1618, 19, 30270, 14, 204, 264, 11636, 31, 15053, 289, 1094, 19, 4483, 13, 11641, 13139, 17, 523, 68, 2756, 34, 1618, 19, 30270, 14, 204, 264, 4474, 31, 421, 289, 1094, 19, 23212, 374, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 283, 1954, 327, 19, 1115, 19, 417, 98, 338, 463, 327, 19, 38936, 19, 417, 2495, 204, 204, 8, 1094, 20, 7199, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 16070, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 3477, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 3477, 677, 588, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1094, 20, 4865, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 2617, 7199, 532, 16070, 204, 204, 676, 7050, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2384, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 2384, 677, 588, 19, 204, 268, 5686, 322, 325, 330, 334, 2384, 677, 5686, 19, 204, 268, 3477, 322, 18035, 330, 334, 2384, 677, 3477, 302, 5576, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 264, 5686, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 3477, 31, 16070, 289, 1094, 19, 4483, 13, 18035, 17, 523, 68, 2756, 34, 1618, 19, 30270, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 0, 531, 589, 8991, 367, 532, 10297, 204, 204, 531, 1498, 532, 30189, 17, 1535, 204, 531, 303, 638, 704, 532, 497, 68, 873, 204, 531, 38263, 19, 5491, 532, 31153, 68, 24519, 1815, 3322, 204, 531, 38263, 19, 1234, 532, 47290, 204, 531, 38263, 19, 19951, 19, 7158, 532, 12810, 5655, 204, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 532, 24033, 31898, 2628, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 2005, 532, 1736, 10771, 31623, 17, 1736, 10771, 5655, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 748, 10771, 68, 1087, 532, 322, 204, 264, 1736, 10771, 11896, 17, 204, 264, 1736, 10771, 11896, 3646, 5364, 14324, 17, 204, 264, 1736, 10771, 11896, 5346, 14324, 17, 204, 264, 1736, 10771, 11896, 23526, 5655, 17, 204, 264, 1736, 10771, 17155, 17, 204, 264, 1736, 10771, 17155, 15695, 9070, 17, 204, 264, 1736, 10771, 27110, 11896, 17, 204, 264, 1736, 10771, 22591, 13773, 17, 204, 264, 1736, 10771, 18928, 14324, 17, 204, 264, 650, 2553, 50, 905, 1560, 2115, 7472, 811, 17, 204, 14, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 1087, 68, 2788, 532, 18674, 989, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 5164, 4229, 410, 532, 322, 204, 264, 33251, 68, 932, 68, 1424, 68, 1181, 17, 204, 264, 8845, 68, 417, 68, 1424, 68, 1181, 17, 204, 14, 204, 204, 8, 968, 1187, 2558, 348, 4037, 12996, 204, 5346, 14324, 289, 30189, 13, 204, 264, 388, 5346, 14324, 528, 204, 264, 1736, 10771, 11896, 5346, 14324, 17, 204, 264, 1736, 10771, 17155, 17, 204, 264, 1736, 10771, 11896, 3646, 5364, 14324, 17, 204, 264, 1736, 10771, 11896, 17, 204, 264, 1736, 10771, 27110, 11896, 17, 204, 264, 1736, 10771, 11896, 23526, 5655, 17, 204, 264, 1736, 10771, 17155, 15695, 9070, 17, 204, 264, 1736, 10771, 18928, 14324, 17, 204, 14, 204, 204, 11896, 4545, 289, 30189, 13, 204, 264, 388, 11896, 4545, 528, 1736, 10771, 11896, 5346, 14324, 17, 650, 2553, 50, 905, 1560, 2115, 7472, 811, 17, 1736, 10771, 22591, 13773, 204, 14, 204, 204, 204, 461, 1020, 68, 1849, 68, 1424, 68, 644, 13, 644, 31, 394, 17, 1842, 31, 458, 64, 5346, 14324, 694, 393, 1535, 64, 5346, 14324, 744, 204, 264, 320, 204, 264, 1752, 437, 1103, 560, 1163, 896, 19, 204, 204, 264, 457, 31, 204, 264, 896, 322, 325, 330, 334, 896, 311, 1813, 348, 19, 204, 264, 1842, 322, 655, 64, 5346, 14324, 1037, 334, 458, 302, 1842, 311, 1813, 292, 19, 204, 204, 264, 475, 31, 204, 264, 1535, 64, 5346, 14324, 744, 334, 1193, 1103, 521, 443, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 348, 4037, 12996, 204, 264, 407, 1682, 1802, 1849, 348, 1103, 292, 1842, 397, 1103, 19, 325, 2683, 564, 896, 659, 443, 14, 204, 204, 204, 461, 1020, 68, 1849, 68, 1424, 68, 876, 13, 876, 31, 421, 17, 1842, 31, 458, 64, 11896, 4545, 694, 393, 1535, 64, 11896, 4545, 744, 204, 264, 320, 204, 264, 1752, 437, 1103, 560, 1163, 700, 19, 204, 204, 264, 457, 31, 204, 264, 700, 322, 339, 330, 334, 700, 311, 1813, 348, 19, 204, 264, 1842, 322, 655, 64, 11896, 4545, 1037, 334, 458, 302, 1842, 311, 1813, 292, 19, 204, 204, 264, 475, 31, 204, 264, 1535, 64, 11896, 4545, 744, 334, 1193, 1103, 521, 443, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 348, 4037, 12996, 204, 264, 407, 1682, 1802, 1849, 348, 1103, 292, 1842, 397, 1103, 19, 31161, 8713, 4545, 564, 700, 659, 443, 14, 204, 204, 204, 461, 2270, 68, 4320, 68, 481, 13, 4320, 14, 393, 18674, 989, 31, 204, 264, 320, 204, 264, 4908, 437, 18674, 989, 726, 497, 437, 2901, 19, 204, 204, 264, 457, 31, 204, 264, 2901, 31, 334, 2901, 311, 2270, 497, 19, 204, 204, 264, 475, 31, 204, 264, 18674, 989, 31, 334, 5082, 18674, 989, 726, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1986, 424, 497, 2901, 204, 268, 4578, 289, 497, 68, 873, 13, 3543, 10771, 31623, 17, 2901, 19, 481, 1166, 8034, 3808, 204, 268, 33251, 68, 1270, 289, 322, 204, 305, 497, 68, 873, 13, 3543, 10771, 5655, 17, 2901, 19, 481, 1166, 748, 10771, 68, 1270, 3808, 204, 305, 397, 2901, 19, 481, 1166, 748, 10771, 68, 1270, 1339, 353, 508, 443, 204, 305, 902, 443, 204, 268, 1179, 204, 268, 13285, 289, 497, 68, 873, 13, 4729, 31898, 2628, 17, 2901, 19, 481, 1166, 1915, 3808, 204, 204, 268, 314, 666, 18674, 989, 726, 204, 268, 407, 18674, 989, 13, 8034, 34, 8034, 17, 33251, 68, 1270, 34, 748, 10771, 68, 1270, 17, 13285, 34, 1915, 17, 7135, 68, 1087, 34, 3170, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 204, 268, 456, 13, 75, 7, 596, 5343, 2901, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 204, 461, 34477, 68, 876, 13, 876, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 14796, 324, 273, 700, 311, 273, 933, 19, 204, 204, 264, 457, 31, 204, 264, 700, 322, 339, 330, 334, 700, 311, 34477, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 4777, 21457, 700, 19, 204, 264, 320, 204, 264, 314, 1974, 13885, 2231, 348, 4037, 12996, 204, 264, 407, 700, 397, 700, 962, 7569, 902, 700, 338, 7569, 204, 204, 204, 461, 353, 68, 4115, 68, 9078, 270, 13, 481, 31, 18674, 989, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 437, 33251, 353, 437, 3585, 2407, 270, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 8872, 989, 330, 334, 33251, 424, 19, 204, 204, 264, 475, 31, 204, 264, 1109, 31, 959, 397, 275, 33251, 353, 437, 3585, 2407, 270, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 13885, 2231, 348, 4037, 12996, 204, 264, 407, 322, 204, 268, 424, 19, 748, 10771, 68, 1270, 353, 508, 443, 204, 268, 329, 33251, 68, 932, 68, 1424, 68, 1181, 19, 505, 13, 481, 19, 748, 10771, 68, 1270, 19, 748, 10771, 2191, 14, 564, 388, 41442, 68, 4284, 23043, 2613, 1053, 7, 204, 264, 1179, 204, 204, 204, 461, 2270, 68, 3075, 68, 1270, 13, 5271, 68, 359, 31, 394, 17, 424, 31, 18674, 989, 14, 393, 12810, 5655, 31, 204, 264, 320, 204, 264, 4908, 273, 12810, 5655, 726, 497, 437, 2901, 19, 204, 204, 264, 457, 31, 204, 264, 2220, 68, 359, 322, 325, 330, 334, 2220, 1222, 302, 275, 2322, 19, 204, 264, 424, 322, 8872, 989, 330, 334, 2901, 424, 19, 204, 204, 264, 475, 31, 204, 264, 12810, 5655, 31, 334, 5082, 12810, 5655, 726, 19, 204, 264, 320, 204, 264, 314, 1986, 424, 497, 2901, 204, 264, 20972, 68, 417, 289, 424, 19, 748, 10771, 68, 1270, 19, 417, 397, 424, 19, 748, 10771, 68, 1270, 902, 2220, 68, 359, 204, 264, 17659, 289, 8845, 68, 417, 68, 1424, 68, 1181, 19, 505, 13, 481, 19, 748, 10771, 68, 1270, 19, 13461, 14, 397, 424, 19, 748, 10771, 68, 1270, 902, 443, 204, 264, 570, 289, 424, 19, 748, 10771, 68, 1270, 19, 809, 397, 424, 19, 748, 10771, 68, 1270, 902, 443, 204, 204, 264, 314, 666, 12810, 5655, 726, 204, 264, 407, 12810, 5655, 13, 204, 268, 20206, 2508, 13, 23210, 17, 2220, 68, 359, 15740, 204, 268, 588, 34, 18418, 68, 417, 17, 204, 268, 17659, 34, 34134, 17, 204, 268, 570, 34, 809, 17, 204, 264, 1179, 204, 204, 204, 461, 636, 68, 4375, 68, 416, 68, 7125, 13, 644, 31, 394, 14, 393, 927, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 763, 275, 2350, 329, 8834, 348, 273, 896, 19, 204, 204, 264, 457, 31, 204, 264, 896, 322, 325, 330, 334, 896, 311, 636, 275, 2350, 329, 8834, 348, 19, 204, 204, 264, 475, 31, 204, 264, 927, 64, 325, 17, 394, 744, 334, 2350, 329, 8834, 348, 275, 896, 19, 204, 264, 320, 204, 264, 314, 1974, 955, 348, 4037, 12996, 204, 264, 2350, 68, 28968, 289, 463, 204, 268, 388, 11001, 559, 322, 11001, 68, 24519, 1815, 3322, 17, 388, 82, 511, 31, 708, 703, 9645, 3186, 204, 268, 388, 5917, 1143, 559, 4401, 55, 13021, 528, 388, 82, 511, 31, 15941, 18, 24, 73, 18, 14812, 3186, 204, 264, 1211, 204, 264, 407, 2350, 68, 28968, 19, 505, 13, 644, 17, 322, 13672, 36630, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2901, 204, 264, 2901, 289, 463, 204, 268, 388, 481, 559, 463, 204, 305, 388, 8034, 559, 14170, 204, 305, 388, 748, 10771, 68, 1270, 559, 2832, 748, 10771, 2191, 559, 388, 41442, 68, 4284, 23043, 2613, 1053, 528, 388, 13461, 559, 388, 31484, 528, 388, 809, 559, 388, 1655, 7832, 204, 305, 388, 1915, 559, 14170, 204, 268, 1211, 204, 264, 1211, 204, 204, 264, 314, 4908, 18674, 989, 726, 204, 264, 2901, 68, 481, 289, 2270, 68, 4320, 68, 481, 13, 4320, 14, 204, 204, 264, 314, 778, 397, 33251, 353, 3585, 2407, 270, 204, 264, 353, 68, 638, 289, 353, 68, 4115, 68, 9078, 270, 13, 4320, 68, 481, 14, 204, 264, 456, 13, 75, 7, 4947, 3585, 2407, 270, 31, 463, 360, 68, 638, 743, 204, 204, 264, 314, 4908, 12810, 5655, 726, 204, 264, 2322, 68, 1270, 289, 2270, 68, 3075, 68, 1270, 499, 5271, 68, 359, 528, 2901, 68, 481, 14, 204, 264, 456, 13, 75, 7, 11588, 19823, 31, 463, 3075, 68, 1270, 743, 204, 204, 264, 314, 763, 2350, 329, 8834, 348, 273, 896, 204, 264, 2350, 17, 8834, 289, 636, 68, 4375, 68, 416, 68, 7125, 499, 11001, 431, 204, 264, 456, 13, 75, 7, 12885, 31, 463, 4375, 1522, 44760, 31, 463, 7125, 743, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 1807, 68, 2555, 68, 11382, 13, 204, 264, 14992, 68, 481, 31, 645, 19, 766, 17, 716, 264, 3091, 22, 31, 645, 19, 766, 17, 716, 264, 3091, 23, 31, 645, 19, 766, 17, 716, 264, 20549, 31, 458, 17, 716, 264, 4521, 31, 645, 19, 766, 17, 716, 264, 8648, 31, 458, 17, 716, 264, 4368, 31, 1513, 19, 11600, 17, 716, 264, 3397, 31, 394, 17, 716, 264, 3397, 68, 42129, 31, 394, 17, 716, 264, 832, 68, 88, 31, 394, 17, 716, 264, 3299, 68, 481, 31, 645, 19, 766, 289, 443, 17, 716, 264, 3299, 68, 7022, 31, 645, 19, 766, 289, 443, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 3045, 5926, 1356, 348, 14992, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 14992, 68, 481, 322, 1123, 19, 766, 330, 472, 9614, 424, 311, 1807, 19, 204, 264, 3091, 22, 322, 1123, 19, 766, 330, 19363, 368, 424, 311, 1807, 19, 204, 264, 3091, 23, 322, 1123, 19, 766, 330, 19363, 435, 424, 311, 1807, 19, 204, 264, 20549, 322, 655, 330, 10932, 11377, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 4368, 322, 14480, 19, 11600, 330, 14568, 311, 1807, 523, 19, 204, 264, 3397, 322, 325, 330, 20805, 1222, 19, 204, 264, 3397, 68, 42129, 322, 325, 330, 20805, 13810, 19, 204, 264, 832, 68, 88, 322, 325, 330, 2621, 311, 424, 19, 204, 264, 3299, 68, 481, 322, 1123, 19, 766, 17, 1448, 330, 13448, 424, 311, 1807, 19, 1243, 311, 443, 19, 204, 264, 3299, 68, 7022, 322, 1123, 19, 766, 17, 1448, 330, 13448, 6710, 311, 1807, 19, 1243, 311, 443, 19, 204, 204, 264, 475, 31, 204, 264, 927, 31, 4899, 329, 304, 1676, 1153, 424, 19, 204, 264, 320, 204, 264, 314, 9886, 8648, 204, 264, 906, 5892, 68, 13352, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 13352, 14, 204, 204, 264, 314, 3045, 424, 204, 264, 906, 1657, 68, 481, 13, 26357, 68, 481, 17, 4521, 17, 8648, 17, 5405, 34, 21, 19, 22, 14, 204, 264, 906, 1657, 68, 481, 13, 4841, 23, 17, 4521, 17, 8648, 14, 204, 264, 906, 1657, 68, 33693, 13, 33693, 17, 4521, 17, 8648, 14, 204, 204, 264, 314, 3045, 3299, 424, 397, 2755, 204, 264, 397, 3299, 68, 481, 353, 508, 443, 31, 204, 268, 906, 1657, 68, 929, 68, 481, 13, 929, 68, 481, 17, 4521, 17, 8648, 17, 3299, 68, 7022, 14, 204, 204, 264, 314, 1359, 1724, 329, 1769, 204, 264, 906, 574, 68, 1778, 68, 416, 68, 2185, 13, 13352, 17, 3397, 17, 3397, 68, 42129, 14, 204, 204, 264, 314, 763, 958, 204, 264, 958, 289, 906, 505, 68, 1935, 13, 7208, 14, 204, 204, 264, 314, 1426, 958, 204, 264, 397, 958, 564, 379, 78, 597, 204, 268, 314, 592, 8311, 31699, 204, 268, 304, 1676, 1153, 68, 481, 289, 906, 44717, 68, 3450, 13, 204, 305, 4521, 17, 716, 305, 3091, 22, 17, 716, 305, 3091, 23, 17, 716, 305, 832, 68, 88, 17, 716, 305, 3397, 17, 716, 305, 3397, 68, 42129, 17, 716, 305, 8648, 17, 716, 305, 4368, 17, 716, 305, 3299, 68, 481, 204, 268, 1179, 204, 268, 407, 1807, 68, 2555, 68, 11382, 13, 204, 305, 14992, 68, 481, 17, 716, 305, 3091, 22, 17, 716, 305, 3091, 23, 17, 716, 305, 20549, 17, 716, 305, 4521, 17, 716, 305, 8648, 17, 716, 305, 4368, 17, 716, 305, 3397, 17, 716, 305, 3397, 68, 42129, 17, 716, 305, 832, 68, 88, 17, 716, 305, 3299, 68, 481, 17, 716, 305, 3299, 68, 7022, 204, 268, 1179, 204, 264, 1677, 958, 292, 551, 21, 17, 368, 744, 204, 268, 314, 455, 958, 329, 304, 1676, 1153, 424, 204, 268, 407, 958, 17, 1306, 204, 204, 461, 906, 5892, 68, 13352, 13, 13352, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9886, 8648, 19, 204, 204, 264, 4435, 31, 204, 264, 8648, 322, 655, 330, 31465, 311, 4199, 19, 204, 264, 320, 204, 264, 314, 9886, 8648, 204, 264, 8648, 64, 21, 1664, 5892, 374, 204, 264, 8648, 64, 22, 1664, 5892, 374, 204, 204, 461, 906, 1657, 68, 481, 13, 481, 31, 645, 19, 766, 17, 4521, 31, 645, 19, 766, 17, 8648, 31, 458, 17, 5405, 31, 818, 289, 368, 19, 21, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 424, 322, 1123, 19, 766, 330, 1594, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 5405, 322, 996, 17, 1448, 330, 3957, 27275, 19, 1243, 311, 368, 19, 21, 19, 204, 264, 320, 204, 264, 314, 3045, 424, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 17, 424, 17, 5405, 34, 4548, 14, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 17, 424, 17, 5405, 34, 4548, 14, 204, 204, 461, 906, 1657, 68, 33693, 13, 33693, 31, 458, 17, 4521, 31, 645, 19, 766, 17, 8648, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 20549, 19, 204, 204, 264, 4435, 31, 204, 264, 20549, 322, 655, 330, 10932, 11377, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 320, 204, 264, 314, 3045, 20549, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 17, 20549, 17, 379, 80, 45232, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 17, 20549, 17, 379, 80, 45232, 204, 204, 461, 906, 1657, 68, 929, 68, 481, 13, 929, 68, 481, 31, 645, 19, 766, 17, 4521, 31, 645, 19, 766, 17, 8648, 31, 458, 17, 3299, 68, 7022, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 3299, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 3299, 68, 481, 322, 1123, 19, 766, 330, 13448, 424, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 3299, 68, 7022, 322, 1123, 19, 766, 330, 13448, 6710, 311, 1807, 19, 204, 264, 320, 204, 264, 314, 3045, 3299, 424, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 17, 3299, 68, 481, 17, 379, 76, 18, 12102, 5405, 34, 21, 19, 23, 14, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 17, 3299, 68, 481, 17, 379, 76, 18, 12102, 5405, 34, 21, 19, 23, 14, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 64, 929, 68, 7022, 648, 3299, 68, 481, 3460, 8893, 3299, 68, 7022, 648, 379, 3216, 491, 5405, 34, 21, 19, 23, 14, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 64, 929, 68, 7022, 648, 3299, 68, 481, 3460, 8893, 3299, 68, 7022, 648, 379, 3216, 491, 5405, 34, 21, 19, 23, 14, 204, 204, 461, 906, 574, 68, 1778, 68, 416, 68, 2185, 13, 13352, 31, 458, 17, 3397, 31, 394, 17, 3397, 68, 42129, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1359, 1724, 329, 1769, 19, 204, 204, 264, 4435, 31, 204, 264, 8648, 322, 655, 330, 31465, 311, 758, 1724, 329, 1769, 523, 19, 204, 264, 3397, 322, 325, 330, 20805, 1222, 19, 204, 264, 3397, 68, 42129, 322, 325, 330, 20805, 13810, 19, 204, 264, 320, 204, 264, 314, 1359, 1724, 329, 1769, 204, 264, 8648, 64, 21, 1664, 574, 68, 1778, 13, 75, 12, 5876, 616, 14509, 6846, 68, 42129, 20212, 463, 6846, 3501, 204, 264, 8648, 64, 21, 1664, 574, 68, 7246, 499, 5058, 299, 26231, 592, 40440, 431, 204, 264, 8648, 64, 22, 1664, 574, 68, 7246, 499, 837, 6442, 19, 27097, 5926, 3094, 348, 4249, 36, 8931, 31, 226, 500, 14, 397, 1236, 226, 368, 14, 397, 18082, 17, 296, 14, 311, 18679, 31699, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 431, 204, 204, 461, 906, 505, 68, 1935, 13, 7208, 31, 1513, 19, 11600, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 958, 19, 204, 204, 264, 4435, 31, 204, 264, 4368, 322, 14480, 19, 11600, 330, 14568, 311, 636, 958, 497, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 4899, 19, 204, 264, 320, 204, 264, 314, 763, 958, 204, 264, 314, 1058, 741, 353, 508, 7306, 292, 275, 800, 1576, 17, 754, 490, 677, 14534, 311, 444, 7306, 13762, 204, 264, 1879, 204, 204, 461, 906, 44717, 68, 3450, 13, 204, 264, 4521, 31, 645, 19, 766, 17, 716, 264, 3091, 22, 31, 645, 19, 766, 17, 716, 264, 3091, 23, 31, 645, 19, 766, 17, 716, 264, 832, 68, 88, 31, 394, 17, 716, 264, 3397, 31, 394, 17, 716, 264, 3397, 68, 42129, 31, 394, 17, 716, 264, 8648, 31, 458, 17, 716, 264, 4368, 31, 1513, 19, 11600, 17, 716, 264, 3299, 68, 481, 31, 645, 19, 766, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 592, 8311, 31699, 19, 204, 204, 264, 4435, 31, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 18679, 19, 204, 264, 3091, 22, 322, 1123, 19, 766, 330, 19363, 368, 424, 311, 18679, 19, 204, 264, 3091, 23, 322, 1123, 19, 766, 330, 19363, 435, 424, 311, 18679, 19, 204, 264, 832, 68, 88, 322, 325, 330, 2621, 311, 424, 19, 204, 264, 3397, 322, 325, 330, 20805, 1222, 19, 204, 264, 3397, 68, 42129, 322, 325, 330, 20805, 13810, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 18679, 523, 19, 204, 264, 4368, 322, 14480, 19, 11600, 330, 14568, 311, 18679, 523, 19, 204, 264, 3299, 68, 481, 322, 1123, 19, 766, 330, 13448, 424, 311, 18679, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 791, 1676, 1153, 424, 19, 204, 264, 320, 204, 264, 314, 1058, 741, 353, 508, 7306, 292, 275, 800, 1576, 17, 754, 490, 677, 14534, 311, 444, 7306, 13762, 204, 264, 1879, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1763, 424, 204, 264, 14992, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 3091, 22, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 3091, 23, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 20549, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 4521, 289, 645, 19, 8268, 13, 2051, 14, 204, 264, 8648, 289, 551, 14480, 19, 14196, 13, 23, 17, 368, 17, 368, 659, 1513, 19, 14196, 13, 23, 17, 368, 17, 435, 2395, 204, 264, 4368, 289, 1513, 19, 7208, 374, 204, 264, 3397, 289, 388, 16920, 22, 7, 204, 264, 3397, 68, 42129, 289, 388, 43640, 7593, 22, 7, 204, 264, 832, 68, 88, 289, 6040, 546, 20, 633, 20, 481, 7, 204, 264, 3299, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 931, 14, 204, 264, 3299, 68, 7022, 289, 645, 19, 2017, 19, 5574, 13, 21, 17, 1607, 17, 931, 14, 204, 204, 264, 314, 4889, 275, 741, 204, 264, 958, 17, 304, 1676, 1153, 68, 481, 289, 1807, 68, 2555, 68, 11382, 13, 204, 268, 14992, 68, 481, 17, 716, 268, 3091, 22, 17, 716, 268, 3091, 23, 17, 716, 268, 20549, 17, 716, 268, 4521, 17, 716, 268, 8648, 17, 716, 268, 4368, 17, 716, 268, 3397, 17, 716, 268, 3397, 68, 42129, 17, 716, 268, 832, 68, 88, 17, 716, 268, 3299, 68, 481, 17, 716, 268, 3299, 68, 7022, 204, 264, 1179, 204, 204, 264, 314, 1198, 275, 958, 329, 304, 1676, 1153, 424, 204, 264, 456, 499, 2628, 2180, 958, 14, 204, 264, 456, 499, 1252, 1676, 1153, 1594, 2180, 304, 1676, 1153, 68, 481, 14, 204, 0, 658, 15678, 368, 8406, 3008, 19077, 204, 204, 51, 9962, 322, 51, 1283, 368, 329, 4236, 14, 2842, 10689, 275, 7751, 329, 529, 830, 22635, 348, 275, 1370, 3008, 19, 828, 275, 542, 302, 9962, 1466, 435, 17, 681, 17, 1132, 17, 2247, 17, 521, 4236, 322, 22305, 302, 435, 659, 275, 1370, 3008, 7049, 1784, 444, 32628, 31, 368, 274, 3384, 13909, 9790, 1673, 3384, 17, 435, 307, 2317, 9790, 435, 307, 497, 275, 1673, 17, 6623, 19, 3355, 17, 1422, 353, 1236, 21672, 496, 275, 542, 302, 9962, 1784, 444, 273, 2347, 302, 435, 19, 334, 9056, 353, 311, 2281, 273, 2875, 15754, 4818, 496, 33152, 275, 542, 302, 9962, 448, 273, 3918, 329, 12015, 275, 4672, 368, 3868, 880, 19, 204, 204, 2841, 1856, 444, 368, 17, 435, 17, 681, 17, 1132, 17, 521, 2247, 9962, 322, 5747, 302, 435, 14, 292, 275, 435, 307, 4672, 19, 204, 204, 1380, 5696, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 732, 275, 2631, 4053, 1484, 31, 204, 204, 3691, 4655, 204, 34566, 610, 12341, 322, 204, 226, 15754, 1164, 14088, 284, 204, 226, 7281, 19431, 204, 659, 469, 12341, 322, 204, 226, 15754, 6983, 60, 5551, 2941, 17, 16495, 23529, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 18, 22710, 5551, 16, 22, 5501, 17, 204, 226, 16495, 23529, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 846, 85, 204, 226, 7281, 19431, 17, 610, 204, 226, 11538, 8298, 2213, 16960, 14641, 13566, 37530, 38076, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 18, 22, 204, 14, 204, 7097, 716, 226, 346, 4526, 716, 264, 22023, 1888, 5501, 37530, 85, 9273, 284, 35, 22, 14363, 1888, 6983, 60, 5551, 16, 85, 18, 1129, 85, 716, 226, 24941, 12341, 388, 7313, 314, 528, 204, 226, 346, 4526, 716, 264, 22023, 1888, 5501, 35, 85, 9273, 284, 35, 22, 14363, 1888, 379, 13343, 35706, 15952, 2941, 15952, 379, 25821, 311, 15678, 435, 12, 204, 264, 22023, 1888, 284, 34, 22, 14363, 1888, 379, 13343, 18, 22, 353, 273, 1407, 15794, 19820, 204, 264, 27429, 1599, 379, 13343, 35706, 15952, 2941, 15952, 379, 9790, 11582, 35706, 15952, 5501, 204, 226, 24941, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12341, 388, 17497, 3008, 15678, 368, 27386, 880, 7, 204, 28016, 469, 17, 610, 204, 21079, 16960, 368, 12057, 56, 480, 12087, 17, 2941, 204, 3691, 204, 204, 1380, 23967, 204, 204, 673, 17764, 3237, 867, 311, 4368, 685, 928, 9962, 1856, 444, 10974, 329, 928, 7493, 14224, 311, 275, 15678, 435, 19, 20535, 496, 572, 874, 273, 2347, 302, 435, 542, 302, 9962, 19, 5512, 1913, 368, 274, 3384, 13909, 4238, 275, 5533, 368, 274, 17, 1913, 435, 307, 9790, 5533, 435, 307, 17, 6623, 19, 828, 1422, 529, 392, 9962, 17, 1675, 572, 1120, 874, 392, 20, 23, 7694, 19, 1058, 353, 275, 21705, 1322, 19, 2935, 397, 572, 874, 887, 9962, 36, 1785, 1856, 881, 435, 9803, 9962, 311, 1622, 1481, 719, 1001, 275, 542, 302, 9962, 311, 275, 8232, 2347, 302, 435, 496, 353, 3114, 521, 1936, 311, 392, 19, 1765, 887, 9962, 17, 572, 4672, 719, 311, 1132, 19, 17789, 435, 9803, 9962, 1856, 444, 24117, 4238, 1913, 435, 9962, 17, 329, 808, 4658, 451, 437, 2073, 928, 9962, 1856, 14224, 311, 275, 15678, 435, 2900, 10974, 19, 204, 204, 2310, 1376, 19798, 3884, 17, 13083, 17, 329, 16495, 23529, 3263, 311, 636, 275, 1682, 2347, 302, 435, 348, 1169, 4835, 392, 31, 204, 204, 3691, 4655, 204, 38076, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 204, 3691, 204, 204, 1380, 1165, 1974, 26729, 204, 204, 3070, 887, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 338, 31694, 582, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 24, 9790, 11582, 18, 27, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 25, 9790, 11582, 18, 26, 305, 1152, 204, 97, 268, 1152, 11582, 18, 22, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 23, 25821, 311, 15678, 435, 226, 1152, 204, 204, 3070, 1168, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 48002, 5745, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 23, 9790, 11582, 18, 28, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 24, 9790, 11582, 18, 27, 305, 1152, 204, 97, 571, 6288, 1152, 11582, 18, 25, 9790, 11582, 18, 26, 305, 1152, 204, 97, 268, 1152, 11582, 18, 22, 25821, 311, 15678, 435, 226, 1152, 204, 204, 3070, 1132, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 48002, 27329, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 22, 9790, 11582, 18, 29, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 23, 9790, 11582, 18, 28, 305, 1152, 204, 97, 571, 6288, 1152, 11582, 18, 24, 9790, 11582, 18, 27, 305, 1152, 204, 97, 681, 6288, 1152, 11582, 18, 25, 9790, 11582, 18, 26, 305, 1152, 204, 204, 3070, 368, 3384, 322, 1625, 1370, 33003, 4331, 330, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 338, 31694, 582, 1152, 204, 97, 268, 1152, 11582, 18, 22, 353, 273, 1407, 15794, 6, 8023, 1152, 204, 204, 3070, 2958, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 338, 31694, 582, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 27, 9790, 11582, 18, 1641, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 28, 9790, 11582, 18, 1003, 305, 1152, 204, 97, 571, 6288, 1152, 11582, 18, 29, 9790, 11582, 18, 30, 305, 1152, 204, 97, 268, 1152, 11582, 18, 22, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 23, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 24, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 25, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 26, 25821, 311, 15678, 435, 226, 1152, 0, 647, 12725, 23, 204, 647, 3805, 448, 1246, 204, 647, 1361, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 461, 2601, 68, 633, 68, 2819, 13, 204, 264, 2442, 31, 394, 17, 1104, 31, 394, 17, 575, 31, 394, 17, 1482, 31, 394, 204, 14, 393, 12725, 23, 19, 2602, 31, 204, 264, 320, 204, 264, 6370, 311, 275, 19653, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2442, 322, 325, 330, 334, 2442, 302, 275, 1104, 19, 204, 264, 338, 1104, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 264, 338, 575, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1727, 19, 204, 264, 338, 1482, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1727, 19, 204, 204, 264, 475, 31, 204, 264, 338, 12725, 23, 19, 2602, 31, 334, 1104, 1727, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4496, 273, 2085, 4000, 311, 4897, 275, 1727, 353, 7106, 204, 268, 407, 12725, 23, 19, 2933, 13, 204, 305, 283, 7, 2463, 2508, 2463, 98, 44672, 2508, 2819, 98, 575, 2508, 816, 98, 1482, 2508, 1989, 2495, 204, 268, 1179, 204, 264, 827, 12725, 23, 19, 596, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 2601, 311, 1104, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 532, 68, 481, 68, 531, 68, 2039, 13, 204, 264, 5828, 31, 12725, 23, 19, 2602, 17, 510, 68, 546, 31, 394, 17, 1435, 68, 417, 31, 394, 17, 2630, 31, 458, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4390, 424, 497, 273, 2306, 510, 1025, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 5828, 322, 27288, 23, 19, 2602, 330, 334, 1104, 1727, 19, 204, 264, 338, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 264, 338, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 532, 424, 1025, 19, 204, 264, 338, 2630, 322, 655, 330, 334, 2630, 311, 532, 424, 1025, 19, 204, 264, 320, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 2306, 510, 1025, 273, 3805, 3135, 204, 268, 5986, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 17, 1112, 68, 982, 34, 1975, 14, 204, 822, 268, 314, 666, 273, 3370, 726, 311, 4490, 4053, 6752, 204, 268, 440, 5828, 19, 4322, 374, 448, 3370, 31, 204, 305, 314, 1861, 1048, 848, 1237, 292, 275, 3135, 204, 305, 348, 6849, 17, 1237, 292, 5986, 19, 22091, 1293, 204, 485, 810, 31, 204, 895, 314, 666, 273, 927, 302, 1019, 311, 4482, 1025, 275, 1435, 204, 895, 1019, 289, 927, 13, 937, 64, 3071, 66, 348, 1837, 292, 2630, 14, 204, 20943, 895, 314, 666, 275, 20832, 1484, 204, 895, 1484, 289, 283, 7, 14483, 12377, 463, 1867, 68, 417, 98, 8267, 491, 3759, 1541, 13, 3786, 17667, 12804, 8267, 491, 3759, 1541, 8031, 10, 88, 839, 540, 1245, 13, 3786, 602, 9222, 204, 20943, 895, 314, 5635, 275, 20832, 1484, 204, 895, 3370, 19, 4118, 13, 2120, 17, 1019, 14, 204, 485, 827, 12725, 23, 19, 596, 448, 318, 31, 204, 895, 1361, 19, 718, 13, 75, 7, 3504, 311, 532, 424, 31, 463, 74, 743, 204, 305, 314, 8588, 275, 3731, 204, 305, 5828, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 532, 424, 31, 463, 74, 743, 204, 204, 461, 4032, 68, 11396, 291, 336, 68, 1090, 865, 13, 6519, 31, 12725, 23, 19, 2602, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6117, 378, 22441, 496, 770, 508, 874, 1169, 3610, 2388, 19, 204, 204, 264, 457, 31, 204, 264, 338, 5828, 322, 27288, 23, 19, 2602, 330, 334, 1104, 1727, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 3370, 726, 311, 4490, 4053, 6752, 204, 268, 440, 5828, 19, 4322, 374, 448, 3370, 31, 204, 305, 314, 666, 275, 21669, 1484, 204, 305, 1484, 289, 388, 16908, 7281, 378, 22441, 8888, 309, 3391, 920, 7845, 5697, 322, 7097, 309, 3391, 920, 7281, 13453, 13287, 204, 3123, 305, 314, 5635, 275, 21669, 1484, 204, 305, 3370, 19, 4118, 13, 2120, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 5828, 19, 4827, 374, 204, 264, 827, 12725, 23, 19, 596, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 4032, 44285, 336, 378, 22441, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 2442, 289, 388, 7714, 7, 204, 264, 1104, 289, 388, 2408, 544, 730, 68, 1479, 7, 204, 264, 575, 289, 388, 15315, 7, 204, 264, 1482, 289, 388, 1989, 7, 226, 314, 4546, 440, 1214, 2641, 1482, 204, 264, 378, 22441, 68, 553, 68, 546, 289, 388, 3549, 20, 481, 20, 1090, 865, 19, 2039, 7, 204, 264, 2388, 68, 553, 68, 546, 289, 388, 3549, 20, 481, 20, 1090, 84, 68, 2936, 19, 2039, 7, 204, 204, 264, 314, 6370, 311, 275, 1104, 204, 264, 440, 2601, 68, 633, 68, 2819, 13, 2463, 17, 1104, 17, 575, 17, 1482, 14, 448, 5828, 31, 204, 268, 810, 31, 204, 305, 314, 4390, 378, 22441, 424, 204, 305, 532, 68, 481, 68, 531, 68, 2039, 13, 204, 485, 5828, 17, 378, 22441, 68, 553, 68, 546, 17, 388, 1090, 865, 528, 3134, 1368, 88, 920, 528, 388, 5714, 528, 388, 2814, 88, 528, 388, 71, 36166, 528, 388, 1923, 1004, 528, 388, 655, 2895, 528, 388, 16707, 580, 81, 1339, 204, 305, 1179, 204, 305, 314, 4390, 2388, 424, 204, 305, 532, 68, 481, 68, 531, 68, 2039, 13, 204, 485, 5828, 17, 2388, 68, 553, 68, 546, 17, 388, 21144, 528, 3134, 1368, 88, 920, 528, 388, 3371, 920, 528, 388, 2226, 1339, 204, 305, 1179, 204, 305, 314, 6117, 44285, 336, 378, 22441, 204, 305, 4032, 68, 11396, 291, 336, 68, 1090, 865, 13, 6519, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 1361, 19, 718, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 1687, 368, 31, 8554, 275, 800, 741, 329, 275, 9684, 4090, 2089, 204, 673, 800, 741, 353, 686, 55, 13, 94, 14, 289, 688, 1209, 96, 24, 65, 2809, 469, 338, 681, 4773, 2883, 469, 4742, 334, 9684, 4090, 2089, 353, 1743, 1735, 3453, 1209, 96, 90, 1134, 91, 2277, 1633, 15795, 289, 688, 1209, 96, 91, 90, 12, 338, 33523, 12, 1134, 91, 67, 23, 4742, 204, 204, 658, 1687, 435, 31, 3291, 275, 9684, 4090, 311, 1020, 275, 5442, 302, 361, 13, 94, 14, 204, 1449, 1020, 686, 55, 5822, 94, 9852, 572, 3120, 275, 9684, 4090, 1273, 686, 90, 289, 571, 65, 2809, 469, 338, 681, 9, 329, 686, 91, 289, 688, 2883, 469, 2176, 10162, 17, 686, 90, 12, 289, 338, 24, 65, 2883, 469, 9, 329, 686, 91, 12, 289, 688, 2809, 469, 2176, 204, 204, 658, 1687, 571, 31, 16641, 275, 1019, 1025, 275, 9684, 4090, 2089, 204, 8758, 686, 90, 2543, 686, 91, 2543, 686, 90, 12, 2543, 329, 686, 91, 24152, 1025, 275, 9684, 4090, 2089, 4658, 451, 686, 55, 5822, 94, 14, 289, 688, 1209, 3164, 2883, 469, 2422, 24, 65, 2883, 469, 14, 338, 688, 2809, 469, 13, 24, 65, 2809, 469, 338, 681, 23706, 2883, 67, 23, 469, 4742, 204, 204, 658, 1687, 681, 31, 8730, 275, 2231, 204, 10714, 275, 7145, 17, 572, 636, 686, 55, 5822, 94, 14, 289, 688, 1209, 11775, 24, 65, 2883, 67, 23, 469, 338, 571, 65, 2809, 67, 23, 469, 465, 681, 65, 2809, 469, 4773, 2883, 67, 23, 469, 4742, 204, 204, 658, 1687, 720, 31, 14207, 5620, 974, 275, 6572, 1743, 2883, 67, 23, 469, 465, 688, 2809, 67, 23, 469, 289, 368, 9, 204, 4592, 1743, 2883, 67, 23, 469, 465, 688, 2809, 67, 23, 469, 289, 368, 2543, 1675, 14987, 24, 65, 2883, 67, 23, 469, 338, 571, 65, 2809, 67, 23, 469, 289, 338, 24, 3453, 2883, 67, 23, 469, 465, 688, 2809, 67, 23, 469, 14, 289, 338, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24, 2176, 10162, 17, 686, 55, 5822, 94, 14, 289, 688, 1209, 11775, 24, 465, 681, 65, 2809, 469, 4773, 2883, 67, 23, 469, 4742, 204, 204, 673, 2423, 2073, 353, 31, 1743, 1209, 11775, 24, 465, 681, 65, 2809, 469, 4773, 2883, 67, 23, 469, 1617, 0, 531, 1498, 532, 1061, 17, 1535, 204, 204, 676, 13186, 11664, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 2092, 4209, 19, 204, 204, 264, 1532, 31, 204, 268, 3737, 322, 1665, 64, 325, 17, 1535, 64, 325, 3795, 332, 955, 302, 2072, 348, 275, 2092, 11689, 19, 204, 268, 1714, 322, 2107, 330, 332, 5168, 5850, 3855, 275, 2092, 11689, 353, 8905, 19, 204, 268, 30023, 322, 1665, 64, 325, 17, 26076, 1037, 332, 955, 302, 30023, 19, 204, 268, 456, 607, 322, 11279, 607, 330, 1346, 1014, 302, 275, 1198, 607, 850, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 13186, 11664, 850, 19, 204, 268, 320, 204, 268, 370, 19, 2645, 289, 463, 204, 305, 388, 10856, 559, 443, 17, 204, 305, 388, 16543, 68, 14746, 559, 443, 17, 204, 305, 388, 11472, 68, 4313, 559, 443, 17, 204, 305, 388, 11472, 68, 15134, 8573, 559, 443, 17, 204, 305, 388, 1129, 68, 7885, 559, 443, 17, 204, 305, 388, 1129, 68, 6921, 559, 443, 17, 204, 305, 388, 1129, 68, 2062, 559, 443, 17, 204, 305, 388, 23528, 68, 7885, 559, 443, 17, 204, 305, 388, 23528, 68, 6921, 559, 443, 17, 204, 305, 388, 7560, 559, 443, 17, 204, 305, 388, 14746, 68, 23199, 559, 443, 17, 204, 305, 388, 2290, 68, 1530, 68, 577, 559, 443, 17, 204, 305, 388, 932, 559, 443, 17, 226, 314, 14547, 32637, 68, 33945, 68, 52, 6480, 17, 31965, 52, 68, 52, 6480, 17, 12281, 204, 268, 1211, 204, 268, 370, 19, 1835, 289, 1078, 204, 204, 268, 370, 19, 18249, 289, 463, 204, 305, 388, 7270, 405, 559, 565, 40265, 5761, 10053, 2144, 204, 305, 388, 26188, 559, 346, 8514, 10053, 2144, 204, 305, 388, 81, 7270, 405, 559, 480, 48816, 8514, 10053, 2144, 204, 268, 1211, 204, 268, 370, 19, 2102, 607, 289, 1198, 607, 374, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 2092, 11689, 2072, 311, 275, 919, 510, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 553, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 440, 1451, 13, 1420, 68, 553, 17, 388, 92, 431, 448, 283, 31, 204, 485, 314, 3400, 275, 3494, 204, 485, 283, 19, 2206, 499, 11, 33945, 68, 52, 6480, 65, 83, 431, 204, 7933, 485, 314, 3400, 275, 2072, 204, 485, 348, 6941, 17, 700, 292, 370, 19, 2645, 19, 1996, 1293, 204, 895, 397, 700, 353, 508, 443, 31, 204, 2058, 283, 19, 2206, 13, 75, 7979, 89, 96, 2394, 98, 463, 876, 2277, 83, 431, 204, 7933, 485, 314, 3400, 275, 30023, 204, 485, 348, 4209, 292, 370, 19, 18249, 19, 1309, 1293, 204, 895, 397, 4209, 19, 1835, 31, 204, 2058, 4209, 19, 633, 68, 768, 13, 75, 14, 204, 7933, 485, 314, 3400, 275, 456, 607, 204, 485, 397, 370, 19, 2102, 607, 19, 1835, 31, 204, 895, 370, 19, 2102, 607, 19, 633, 68, 768, 13, 75, 14, 204, 7933, 485, 314, 3400, 275, 22479, 204, 485, 283, 19, 2206, 499, 11, 6627, 30489, 68, 52, 6480, 65, 83, 431, 204, 268, 827, 16554, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 4695, 311, 510, 31, 463, 74, 743, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 2092, 11689, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 348, 896, 17, 700, 292, 3737, 19, 1996, 1293, 204, 305, 896, 68, 6719, 289, 896, 19, 1590, 8883, 431, 204, 305, 397, 1245, 13, 644, 68, 6719, 14, 564, 435, 31, 204, 485, 314, 1359, 275, 3918, 5104, 204, 485, 370, 19, 2645, 64, 644, 68, 6719, 3327, 22, 2629, 289, 700, 204, 305, 1677, 1245, 13, 644, 68, 6719, 14, 564, 571, 329, 896, 68, 6719, 64, 22, 66, 292, 370, 19, 18249, 31, 204, 485, 314, 1359, 275, 4209, 3918, 204, 485, 370, 19, 18249, 64, 644, 68, 6719, 64, 22, 22299, 574, 68, 2645, 2930, 644, 31, 700, 1937, 204, 305, 1677, 1245, 13, 644, 68, 6719, 14, 564, 571, 329, 896, 68, 6719, 64, 22, 66, 564, 388, 2102, 559, 204, 485, 314, 1359, 275, 456, 607, 3918, 204, 485, 370, 19, 2102, 607, 19, 574, 68, 2645, 2930, 644, 31, 700, 1937, 204, 305, 902, 31, 204, 485, 314, 21775, 7843, 2072, 204, 485, 1879, 204, 204, 204, 676, 26076, 31, 204, 264, 320, 204, 264, 332, 1034, 850, 348, 30023, 19, 204, 204, 264, 1532, 31, 204, 268, 1714, 322, 2107, 330, 332, 5168, 5850, 3855, 275, 4209, 353, 8905, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 26076, 850, 19, 204, 268, 320, 204, 268, 370, 19, 1835, 289, 1078, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 980, 9936, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 980, 9936, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 204, 676, 565, 40265, 5761, 10053, 13, 11664, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 565, 43, 11383, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 565, 43, 11383, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 565, 43, 11383, 4209, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 565, 43, 11383, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 565, 43, 11383, 4209, 204, 268, 1879, 204, 204, 204, 676, 346, 8514, 10053, 13, 11664, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 44354, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 44354, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 44354, 4209, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 44354, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 44354, 4209, 204, 268, 1879, 204, 204, 204, 676, 480, 48816, 8514, 10053, 13, 11664, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 480, 18, 21033, 11383, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 480, 18, 21033, 11383, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 480, 18, 21033, 11383, 4209, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 480, 18, 21033, 11383, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 480, 18, 21033, 11383, 4209, 204, 268, 1879, 204, 204, 204, 676, 1198, 607, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 456, 607, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 1198, 607, 850, 19, 204, 268, 320, 204, 268, 370, 19, 1835, 289, 1078, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 456, 607, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 456, 607, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 456, 607, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 456, 607, 204, 268, 1879, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2092, 68, 7560, 289, 13186, 11664, 374, 204, 264, 2092, 68, 7560, 19, 574, 68, 2645, 2930, 204, 268, 388, 10856, 559, 388, 876, 528, 204, 268, 388, 16543, 68, 14746, 559, 388, 876, 528, 204, 268, 388, 7270, 405, 18, 2394, 559, 388, 876, 528, 204, 268, 388, 2102, 18, 2394, 559, 388, 876, 528, 204, 264, 7084, 204, 264, 2092, 68, 7560, 19, 633, 68, 768, 499, 1420, 68, 553, 19, 3039, 431, 204, 0, 658, 20869, 5248, 31, 15155, 4160, 10803, 17, 415, 26494, 4117, 10803, 17, 40953, 12850, 17, 38634, 652, 204, 204, 673, 1844, 5628, 273, 4217, 1710, 10803, 329, 273, 18319, 70, 4117, 10803, 440, 437, 16947, 3302, 19, 1785, 1519, 311, 7647, 496, 3302, 5219, 50, 353, 16947, 329, 496, 12600, 289, 1301, 51, 19, 204, 204, 1380, 5696, 368, 31, 204, 4377, 496, 2746, 5511, 39, 289, 11251, 20, 1003, 289, 5075, 17, 1675, 2746, 5511, 54, 289, 5075, 20, 23, 289, 1916, 17, 754, 2746, 9124, 289, 16595, 19, 3846, 2746, 346, 54, 39, 289, 11251, 20, 1909, 289, 3528, 329, 2746, 502, 10294, 289, 32650, 17, 754, 2746, 5219, 50, 289, 11251, 338, 16595, 338, 32650, 289, 3382, 17, 8405, 3302, 5219, 50, 353, 16947, 19, 716, 204, 4592, 3302, 10595, 51, 353, 3557, 311, 3302, 5219, 50, 329, 42354, 289, 46540, 17, 40637, 289, 39572, 17, 3302, 10595, 51, 353, 1425, 16947, 19, 1058, 3210, 496, 16203, 353, 275, 10066, 29549, 302, 10595, 19, 716, 204, 2310, 618, 949, 2746, 12600, 40, 289, 5075, 20, 23, 289, 1916, 521, 2746, 12600, 54, 289, 1916, 465, 1916, 289, 5075, 19, 3846, 2746, 346, 21546, 289, 3528, 17, 2746, 650, 42552, 289, 3528, 20, 23, 289, 1598, 322, 8500, 23765, 289, 42354, 17, 1301, 39, 289, 1301, 40, 659, 329, 2746, 392, 54, 52, 289, 3528, 465, 1598, 289, 5075, 289, 2746, 12600, 54, 19, 6263, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17, 12600, 289, 1301, 51, 19, 204, 204, 1380, 5696, 435, 31, 204, 2310, 618, 1020, 2746, 5219, 50, 560, 8397, 11251, 3118, 338, 322, 19594, 465, 32650, 14, 289, 3382, 15852, 928, 3210, 5219, 289, 38981, 329, 3302, 5219, 50, 353, 16947, 19, 716, 204, 2310, 618, 1425, 1020, 2746, 33179, 289, 6449, 3118, 338, 16595, 289, 5075, 3118, 329, 2746, 346, 21546, 289, 6449, 338, 16595, 289, 5075, 14867, 15118, 472, 42552, 289, 6449, 338, 322, 3276, 465, 15066, 14, 289, 1598, 15852, 928, 3210, 2746, 472, 21546, 289, 5075, 3118, 521, 3302, 16203, 54, 353, 20487, 19, 204, 204, 1380, 5696, 571, 31, 204, 673, 23272, 2746, 302, 273, 1710, 10803, 353, 11251, 20, 1003, 289, 5075, 17, 329, 275, 23272, 2746, 302, 273, 18319, 70, 4117, 10803, 353, 11251, 20, 1909, 289, 3528, 19, 716, 204, 27331, 17, 2746, 5219, 50, 289, 5075, 465, 3528, 289, 3382, 19, 3846, 5219, 289, 10355, 289, 38981, 17, 754, 3302, 5219, 50, 353, 16947, 19, 716, 204, 24911, 17, 3302, 412, 14522, 353, 16947, 17, 928, 3210, 3302, 650, 14522, 353, 14039, 311, 3302, 650, 31289, 19, 716, 204, 4356, 17, 2746, 12600, 40, 289, 368, 20, 23, 540, 11251, 20, 1003, 289, 1916, 19, 20069, 17, 2746, 5511, 54, 289, 1916, 17, 329, 2746, 12600, 54, 289, 5075, 19, 716, 204, 20612, 17, 2746, 392, 54, 52, 289, 368, 19, 26, 540, 11251, 20, 1909, 289, 5075, 19, 716, 204, 4356, 17, 16203, 289, 1301, 51, 19, 204, 204, 1380, 6119, 10455, 31, 204, 5588, 970, 4217, 18946, 496, 10579, 275, 1581, 887, 13, 83, 22, 465, 300, 23, 14, 289, 300, 22, 540, 300, 23, 798, 437, 2746, 302, 3382, 17, 1273, 300, 22, 353, 275, 542, 302, 2902, 302, 275, 1043, 9043, 329, 300, 23, 353, 275, 542, 302, 2902, 302, 275, 1350, 9043, 19, 716, 204, 673, 4125, 302, 18946, 496, 10579, 808, 1581, 529, 31, 204, 18, 1168, 329, 8178, 204, 18, 1132, 329, 3528, 204, 18, 1233, 329, 1916, 204, 18, 1598, 329, 1598, 204, 204, 7990, 4125, 529, 275, 1698, 1534, 5169, 311, 275, 1581, 11251, 20, 83, 465, 11251, 20, 82, 289, 3382, 19, 0, 647, 1361, 204, 531, 1498, 532, 1884, 17, 1535, 204, 647, 9229, 19, 7827, 19, 885, 38707, 204, 531, 7124, 19, 1703, 532, 9566, 204, 647, 2164, 204, 204, 8, 666, 273, 2082, 1014, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 461, 3752, 68, 72, 4928, 68, 1935, 13, 204, 264, 1484, 68, 805, 31, 394, 17, 716, 264, 279, 4928, 68, 998, 68, 2923, 31, 394, 289, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 12, 204, 14, 393, 2164, 19, 2628, 31, 204, 264, 320, 204, 264, 11244, 275, 10595, 61, 958, 348, 275, 800, 1484, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1484, 68, 805, 322, 325, 330, 334, 1274, 311, 1484, 292, 275, 10595, 61, 1112, 19, 204, 268, 279, 4928, 68, 998, 68, 2923, 322, 325, 17, 1448, 330, 334, 1274, 302, 275, 10595, 61, 1112, 1981, 19, 1243, 311, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 2625, 204, 204, 264, 475, 31, 204, 268, 2164, 19, 2628, 31, 334, 958, 497, 275, 10595, 61, 1112, 1981, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1484, 1274, 204, 264, 1484, 289, 283, 1954, 72, 4928, 68, 998, 68, 2923, 20637, 86, 34, 932, 31, 805, 2120, 16, 805, 14509, 11843, 13, 2120, 68, 805, 16678, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 10595, 61, 1112, 1981, 204, 268, 958, 289, 2164, 19, 505, 13, 2120, 14, 204, 268, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 268, 407, 958, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 304, 18, 4952, 275, 2710, 204, 268, 2082, 19, 718, 13, 75, 7, 3504, 311, 3752, 10595, 61, 958, 348, 463, 2120, 68, 805, 2829, 463, 74, 743, 204, 268, 980, 204, 204, 461, 2252, 68, 72, 4928, 68, 1935, 13, 1935, 31, 2164, 19, 2628, 14, 393, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 204, 264, 320, 204, 264, 9246, 275, 10595, 61, 958, 311, 1967, 275, 510, 329, 12936, 5165, 19, 204, 204, 264, 457, 31, 204, 268, 958, 322, 8239, 19, 2628, 330, 334, 10595, 61, 958, 311, 2252, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 332, 927, 1174, 275, 510, 329, 12936, 5165, 17, 521, 322, 3170, 17, 443, 14, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2735, 275, 6275, 958, 204, 268, 36669, 289, 9229, 19, 7827, 19, 885, 38707, 19, 1703, 4269, 13, 1935, 19, 492, 14, 204, 268, 314, 1861, 1048, 275, 722, 1842, 204, 268, 348, 722, 292, 36669, 19, 505, 27397, 3609, 10833, 2687, 611, 1300, 4448, 204, 305, 314, 1986, 275, 510, 329, 12936, 5165, 204, 305, 510, 289, 722, 19, 505, 27397, 3609, 10833, 2687, 611, 553, 9520, 21, 1664, 2922, 14703, 19, 1241, 4545, 204, 305, 12936, 68, 5911, 289, 722, 19, 505, 27397, 3609, 10833, 2687, 611, 21288, 5911, 9520, 21, 1664, 2922, 14703, 19, 1241, 4545, 204, 305, 407, 510, 17, 12936, 68, 5911, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 204, 268, 2082, 19, 718, 13, 75, 7, 3504, 311, 2252, 10595, 61, 958, 31, 463, 74, 743, 204, 264, 314, 455, 443, 397, 508, 1193, 204, 264, 407, 443, 17, 443, 204, 204, 461, 11936, 68, 266, 68, 72, 4928, 13, 204, 264, 1484, 68, 805, 31, 394, 17, 716, 264, 279, 4928, 68, 998, 68, 2923, 31, 394, 289, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 12, 204, 14, 393, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 204, 264, 320, 204, 264, 4191, 397, 273, 3966, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 353, 292, 275, 10595, 61, 1112, 329, 15943, 275, 510, 329, 12936, 5165, 19, 204, 204, 264, 457, 31, 204, 268, 1484, 68, 805, 322, 325, 330, 334, 1274, 311, 1484, 292, 275, 10595, 61, 1112, 19, 204, 268, 279, 4928, 68, 998, 68, 2923, 322, 325, 17, 1448, 330, 334, 1274, 302, 275, 10595, 61, 1112, 1981, 19, 1243, 311, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 2625, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 332, 927, 1174, 275, 510, 329, 12936, 5165, 17, 521, 322, 3170, 17, 443, 14, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 6579, 275, 10595, 61, 958, 204, 264, 958, 289, 3752, 68, 72, 4928, 68, 1935, 13, 2120, 68, 805, 17, 279, 4928, 68, 998, 68, 2923, 14, 204, 264, 314, 2175, 275, 958, 1714, 1576, 204, 264, 2082, 19, 4561, 13, 75, 7, 12414, 10307, 958, 31, 463, 1935, 19, 1835, 68, 1181, 743, 204, 264, 314, 2735, 275, 10595, 61, 958, 204, 264, 407, 2252, 68, 72, 4928, 68, 1935, 13, 1935, 14, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1484, 68, 805, 289, 388, 3189, 1963, 4537, 19, 2569, 19, 1453, 7, 204, 264, 510, 17, 12936, 68, 5911, 289, 11936, 68, 266, 68, 72, 4928, 13, 2120, 68, 805, 14, 204, 264, 397, 510, 329, 12936, 68, 5911, 31, 204, 268, 456, 13, 75, 7, 2597, 31, 463, 553, 1522, 2001, 3947, 44106, 31, 463, 21288, 68, 5911, 743, 204, 264, 902, 31, 204, 268, 456, 499, 8048, 508, 1193, 292, 10595, 61, 1112, 431, 204, 0, 647, 3805, 448, 1246, 204, 647, 7742, 204, 531, 7742, 19, 536, 532, 9270, 204, 531, 7742, 532, 838, 68, 2693, 17, 18679, 17, 6398, 204, 204, 461, 1137, 68, 41056, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 22590, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 22590, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 22590, 424, 497, 273, 2306, 510, 204, 264, 810, 31, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 546, 98, 508, 1193, 1280, 204, 268, 407, 443, 204, 204, 461, 3106, 68, 3071, 68, 2199, 13, 3786, 31, 458, 64, 325, 694, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 8414, 1837, 1987, 560, 13931, 4338, 2724, 440, 29940, 19, 204, 204, 264, 457, 31, 204, 268, 2630, 322, 655, 64, 325, 1037, 334, 458, 302, 1837, 1987, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 334, 5872, 1837, 1987, 19, 204, 264, 320, 204, 264, 314, 8414, 1837, 1987, 560, 13931, 4338, 2724, 440, 29940, 204, 264, 407, 551, 3071, 19, 3834, 611, 7537, 10151, 3930, 3834, 611, 9086, 18242, 3834, 41115, 491, 18242, 3834, 499, 28142, 10151, 3930, 3834, 8883, 528, 10151, 3930, 3834, 31598, 10151, 534, 348, 1837, 292, 2630, 66, 204, 204, 461, 1137, 68, 416, 68, 5614, 68, 2024, 352, 288, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 329, 3106, 13709, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 329, 5872, 13709, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 329, 3106, 13709, 424, 497, 273, 2306, 510, 204, 264, 13709, 68, 481, 289, 1137, 68, 41056, 68, 481, 13, 553, 68, 546, 14, 204, 264, 397, 13709, 68, 481, 353, 508, 443, 31, 204, 268, 13709, 68, 481, 19, 3786, 289, 3106, 68, 3071, 68, 2199, 13, 2024, 352, 288, 68, 481, 19, 3786, 14, 204, 264, 407, 13709, 68, 481, 204, 204, 461, 838, 68, 2819, 68, 2602, 13, 2819, 68, 546, 31, 394, 14, 393, 7742, 19, 2693, 19, 12439, 31, 204, 264, 320, 204, 264, 666, 273, 1104, 1727, 19, 204, 204, 264, 457, 31, 204, 268, 1104, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 7742, 19, 2693, 19, 12439, 31, 334, 1104, 1727, 19, 204, 264, 320, 204, 264, 314, 666, 273, 1104, 1727, 204, 264, 810, 31, 204, 268, 407, 838, 68, 2693, 13, 75, 7, 9853, 1963, 4235, 2819, 68, 546, 743, 204, 264, 827, 7742, 19, 13758, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 838, 1104, 1727, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 31, 7742, 19, 2693, 19, 12439, 17, 424, 31, 1246, 19, 1362, 17, 1435, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1385, 424, 1025, 273, 1104, 1435, 19, 204, 204, 264, 457, 31, 204, 268, 3798, 322, 18080, 19, 2693, 19, 12439, 330, 334, 1104, 1727, 19, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 1137, 19, 204, 268, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 1137, 1025, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 1025, 273, 1104, 1435, 204, 264, 397, 3798, 353, 508, 443, 329, 424, 353, 508, 443, 31, 204, 268, 810, 31, 204, 305, 424, 19, 7142, 68, 998, 1528, 633, 68, 4655, 13, 1867, 68, 417, 17, 378, 34, 2693, 19, 2933, 2144, 397, 68, 4332, 833, 3834, 534, 204, 268, 827, 7742, 19, 13758, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 3504, 311, 1137, 424, 1025, 1104, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 314, 968, 510, 3630, 204, 264, 22590, 68, 481, 68, 546, 289, 388, 9315, 20, 5797, 989, 19, 9853, 7, 204, 264, 5623, 316, 68, 8059, 68, 553, 68, 546, 289, 379, 9315, 20, 5917, 760, 1745, 19, 2039, 12, 204, 264, 22590, 68, 7406, 68, 553, 68, 546, 289, 379, 9315, 20, 40, 14393, 29352, 989, 19, 2039, 12, 204, 264, 13709, 68, 5042, 19189, 68, 553, 68, 546, 289, 379, 9315, 20, 11589, 37090, 30255, 19189, 3609, 5059, 19, 2039, 12, 204, 204, 264, 314, 666, 1104, 1727, 204, 264, 3798, 289, 838, 68, 2819, 68, 2602, 13, 41056, 68, 481, 68, 546, 14, 204, 204, 264, 314, 1385, 22590, 424, 204, 264, 5623, 316, 68, 8059, 68, 481, 289, 1137, 68, 41056, 68, 481, 13, 3762, 316, 68, 8059, 68, 553, 68, 546, 14, 204, 264, 22590, 68, 7406, 68, 481, 289, 1137, 68, 41056, 68, 481, 13, 41056, 68, 7406, 68, 553, 68, 546, 14, 204, 264, 13709, 68, 5042, 19189, 68, 481, 289, 1137, 68, 416, 68, 5614, 68, 2024, 352, 288, 68, 481, 13, 2024, 352, 288, 68, 5042, 19189, 68, 553, 68, 546, 14, 204, 204, 264, 314, 1385, 424, 1025, 1104, 204, 264, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 17, 5623, 316, 68, 8059, 68, 481, 17, 388, 3762, 316, 431, 204, 264, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 17, 22590, 68, 7406, 68, 481, 17, 388, 7406, 431, 204, 264, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 17, 13709, 68, 5042, 19189, 68, 481, 17, 388, 2024, 352, 288, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4390, 3600, 6500, 204, 531, 1907, 19, 3968, 532, 832, 17, 2255, 204, 531, 740, 532, 5020, 448, 740, 68, 4280, 204, 204, 8, 968, 1274, 3758, 204, 11326, 289, 551, 204, 264, 314, 6104, 1274, 2679, 204, 264, 832, 14945, 740, 68, 4280, 19, 998, 17, 588, 833, 998, 2008, 204, 264, 314, 18336, 1274, 2679, 204, 264, 832, 611, 27200, 936, 4750, 740, 68, 4280, 19, 27200, 936, 17, 588, 833, 27200, 936, 2008, 204, 264, 314, 3877, 1274, 2679, 204, 264, 832, 611, 579, 4750, 740, 68, 4280, 19, 579, 17, 588, 833, 579, 2008, 204, 264, 314, 20696, 1274, 3758, 204, 264, 832, 611, 14914, 4750, 740, 68, 4280, 19, 14914, 68, 1529, 17, 588, 833, 14914, 68, 1529, 2008, 204, 264, 832, 611, 19807, 4750, 740, 68, 4280, 19, 19807, 68, 1529, 17, 588, 833, 19807, 68, 1529, 2008, 204, 66, 204, 0, 25459, 299, 9877, 1025, 273, 38176, 9877, 5180, 204, 204, 17139, 7694, 5190, 2459, 275, 10931, 311, 10647, 329, 6296, 1017, 6173, 17, 6497, 278, 1017, 5384, 302, 2821, 7345, 17, 329, 2270, 43340, 292, 437, 46352, 2501, 19, 4596, 15726, 2821, 3100, 690, 1025, 273, 10306, 2821, 1470, 17, 2804, 618, 874, 9819, 329, 2270, 2821, 6173, 630, 275, 1729, 690, 19, 204, 204, 5399, 677, 437, 1763, 302, 273, 2821, 1470, 3250, 388, 37982, 275, 11378, 559, 204, 204, 777, 2920, 311, 8406, 4626, 204, 204, 22, 19, 10932, 1054, 1792, 4549, 523, 273, 8224, 521, 5999, 329, 2481, 273, 6087, 302, 4960, 440, 273, 542, 292, 848, 1864, 19, 4171, 618, 444, 4835, 886, 17, 15467, 17, 6249, 17, 1892, 17, 521, 2219, 14202, 7277, 17, 10625, 523, 275, 1656, 677, 5686, 1870, 19, 204, 23, 19, 7616, 2061, 5178, 273, 3638, 33466, 437, 726, 17, 1702, 448, 273, 19159, 4279, 17, 7883, 970, 886, 19, 204, 24, 19, 334, 2061, 16510, 2758, 311, 636, 275, 6862, 2279, 2237, 348, 496, 3638, 19, 1765, 1763, 17, 397, 275, 2061, 17412, 523, 338, 25, 329, 435, 17, 1250, 618, 949, 435, 338, 3457, 25, 14, 289, 887, 311, 636, 275, 6862, 2237, 2279, 19, 204, 25, 19, 7616, 2061, 9321, 275, 3703, 348, 830, 1017, 11147, 17, 329, 275, 2061, 440, 275, 6862, 2423, 2279, 11716, 19, 204, 204, 777, 17665, 657, 4626, 204, 204, 15, 3665, 618, 838, 1214, 3346, 5035, 17, 1702, 448, 15024, 275, 2061, 311, 2811, 2758, 311, 636, 275, 10658, 2279, 2237, 348, 496, 3638, 19, 204, 15, 3665, 618, 881, 4916, 5035, 17, 1702, 448, 18383, 437, 4372, 917, 397, 275, 2061, 5018, 1017, 13952, 677, 886, 311, 1895, 273, 5092, 2279, 1194, 1017, 13952, 3756, 19, 204, 204, 777, 12695, 9877, 24513, 4626, 204, 204, 15, 10037, 7694, 521, 40274, 496, 4426, 2459, 311, 2216, 618, 1340, 2390, 542, 7211, 329, 6024, 4843, 19, 204, 15, 43625, 7694, 2090, 565, 41666, 2368, 17, 37266, 17, 5389, 23845, 17, 548, 1625, 17, 329, 5973, 760, 11489, 618, 1340, 2390, 4109, 2821, 6173, 17, 1702, 448, 26907, 1728, 523, 273, 7719, 6258, 17, 25523, 8993, 17, 1844, 18, 24384, 17, 17318, 886, 17, 329, 15224, 19, 204, 204, 777, 46132, 4626, 204, 204, 15, 44950, 2804, 311, 8108, 523, 275, 1470, 560, 15024, 1475, 1465, 275, 10114, 1250, 1376, 329, 1662, 1250, 4230, 2652, 1017, 6684, 397, 1250, 11474, 275, 1470, 2528, 19, 204, 15, 4244, 1982, 504, 1214, 3346, 10114, 46111, 311, 570, 275, 3979, 872, 529, 6432, 19, 204, 15, 1974, 7110, 4764, 17, 1702, 448, 11517, 3394, 17, 1273, 2804, 618, 22459, 12422, 329, 5726, 1110, 448, 1250, 4309, 329, 6296, 2821, 7345, 19, 0, 315, 204, 19619, 3467, 348, 275, 26424, 6495, 18, 5941, 3146, 19, 204, 204, 1834, 3146, 3629, 437, 16063, 23, 9068, 348, 22012, 1571, 8424, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 17, 1020, 68, 9290, 204, 204, 461, 1151, 68, 5515, 68, 2749, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 275, 2482, 2342, 497, 275, 15786, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2482, 2342, 302, 275, 3146, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 611, 24235, 19, 7648, 491, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 407, 510, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 407, 388, 24235, 510, 508, 1193, 3343, 204, 204, 461, 636, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4780, 68, 12362, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 275, 458, 302, 3146, 6127, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 3146, 6127, 19, 204, 264, 320, 204, 264, 407, 551, 204, 268, 379, 15957, 23, 491, 204, 268, 379, 11684, 1775, 491, 204, 268, 379, 5835, 491, 204, 264, 2437, 204, 204, 461, 636, 68, 19994, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 275, 458, 302, 16674, 348, 275, 3146, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 16674, 19, 204, 264, 320, 204, 264, 407, 551, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 528, 226, 314, 9918, 275, 4847, 2585, 204, 268, 388, 18427, 5997, 20523, 11699, 5997, 43155, 5997, 4847, 6501, 2770, 528, 204, 268, 388, 45350, 5997, 5959, 528, 204, 268, 388, 11690, 5997, 4318, 8361, 528, 204, 268, 388, 19086, 5997, 28482, 28007, 5997, 48313, 11357, 528, 226, 314, 9918, 275, 11195, 204, 264, 2437, 204, 204, 461, 3219, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 26424, 6495, 18, 5941, 3146, 19, 204, 204, 264, 1058, 741, 5018, 275, 3219, 741, 497, 12800, 311, 7072, 275, 3146, 3688, 17, 204, 264, 6127, 17, 329, 904, 6826, 1483, 19, 204, 264, 320, 204, 264, 314, 18027, 3688, 204, 264, 3146, 68, 4591, 289, 463, 204, 268, 379, 417, 597, 379, 27175, 68, 948, 491, 204, 268, 379, 2256, 597, 379, 21, 19, 22, 19, 25, 491, 204, 268, 379, 2749, 597, 379, 28931, 23, 46832, 348, 22012, 1571, 8424, 491, 204, 268, 379, 5515, 68, 2749, 597, 1151, 68, 5515, 68, 2749, 2144, 204, 268, 379, 12477, 597, 379, 5835, 17, 10843, 366, 8424, 17, 25902, 23, 491, 204, 268, 379, 4020, 597, 379, 46, 74, 16200, 964, 91, 29723, 491, 204, 268, 379, 4020, 68, 2302, 597, 379, 705, 16200, 19, 23163, 29723, 37, 13260, 19, 1453, 491, 204, 268, 379, 805, 597, 379, 3189, 1963, 8750, 19, 1453, 20, 705, 16200, 20, 37867, 6495, 18, 5941, 4750, 204, 268, 379, 14194, 597, 379, 39, 10521, 491, 204, 264, 1211, 204, 204, 264, 314, 18027, 6127, 204, 264, 3146, 68, 12362, 289, 463, 204, 268, 379, 9290, 597, 1020, 68, 9290, 2144, 204, 268, 379, 5714, 68, 9699, 597, 1078, 17, 204, 268, 379, 9310, 68, 11729, 597, 636, 68, 4780, 68, 12362, 2144, 204, 268, 379, 10203, 68, 4780, 68, 481, 597, 959, 17, 204, 264, 1211, 204, 204, 264, 314, 5297, 7526, 204, 264, 16674, 289, 636, 68, 19994, 374, 204, 204, 264, 314, 13553, 275, 3146, 204, 264, 3219, 13, 204, 268, 930, 4780, 68, 4591, 17, 204, 268, 930, 4780, 68, 12362, 17, 204, 268, 16674, 34, 19994, 17, 204, 264, 1179, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3219, 68, 4780, 374, 204, 0, 673, 10699, 10590, 5786, 5178, 830, 7186, 496, 529, 508, 21501, 292, 275, 904, 970, 11466, 19, 592, 275, 5378, 17, 830, 808, 10590, 867, 2312, 311, 48539, 348, 31150, 19, 21909, 3623, 45048, 1967, 48539, 5859, 329, 732, 808, 311, 1900, 2347, 17, 754, 1429, 2796, 353, 21593, 497, 3623, 18137, 10590, 19, 3355, 17, 273, 4037, 8543, 1988, 353, 311, 1900, 1182, 5462, 329, 2347, 497, 10699, 10590, 329, 2077, 5131, 8459, 10699, 10590, 311, 1051, 44859, 18, 633, 18, 23857, 4968, 322, 35760, 8129, 15508, 730, 14, 292, 18929, 329, 1910, 1702, 6415, 292, 904, 19991, 4985, 3584, 17, 2864, 44998, 17, 12352, 17, 38862, 329, 32676, 19, 4496, 10590, 448, 273, 7534, 31366, 353, 6028, 560, 275, 19991, 311, 444, 273, 4037, 8543, 4248, 1194, 48539, 31150, 302, 496, 10590, 292, 18929, 329, 275, 19602, 12893, 869, 31653, 273, 48539, 604, 18401, 302, 38751, 3534, 841, 18617, 656, 17, 928, 869, 1742, 6639, 292, 42295, 5826, 275, 732, 302, 48539, 348, 31150, 302, 10699, 10590, 19, 204, 16632, 18, 272, 12036, 1414, 12537, 10590, 1425, 3629, 273, 3094, 4182, 5225, 348, 35169, 791, 7404, 38473, 322, 56, 12730, 789, 5860, 302, 2077, 5131, 7271, 2547, 4070, 10699, 12537, 10590, 311, 1895, 387, 12730, 17, 928, 33936, 13917, 448, 273, 7534, 292, 28116, 724, 362, 853, 292, 18929, 329, 31366, 19, 334, 732, 302, 387, 12730, 311, 4066, 13917, 869, 1910, 8543, 8753, 17, 2864, 8016, 7515, 2652, 15888, 19, 0, 647, 2454, 204, 204, 461, 1151, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4143, 537, 497, 2599, 537, 329, 2584, 275, 542, 302, 1842, 329, 275, 542, 302, 6505, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 1842, 329, 275, 542, 302, 6505, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 1842, 329, 6505, 497, 2599, 537, 204, 264, 300, 17, 279, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 264, 407, 300, 17, 279, 204, 204, 461, 1151, 68, 4782, 68, 481, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4143, 3906, 424, 497, 2599, 537, 329, 2584, 273, 458, 302, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 3330, 17, 1273, 848, 14174, 3192, 3906, 424, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 3906, 424, 204, 264, 3906, 68, 481, 289, 1306, 204, 264, 314, 1606, 3906, 424, 497, 2599, 537, 3119, 33179, 204, 264, 348, 1007, 292, 2454, 19, 10376, 31, 204, 268, 314, 3736, 848, 1007, 1025, 1892, 329, 6283, 311, 3906, 68, 481, 204, 268, 3906, 68, 481, 19, 1223, 13, 655, 13, 1608, 13, 339, 17, 1007, 19, 1590, 35160, 204, 264, 407, 3906, 68, 481, 204, 204, 461, 5345, 68, 4782, 68, 1867, 13, 920, 68, 4588, 31, 421, 17, 846, 68, 834, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 1865, 273, 3906, 1435, 440, 7152, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 4588, 322, 339, 330, 334, 542, 302, 6505, 19, 204, 268, 846, 68, 834, 322, 339, 330, 334, 1646, 690, 19, 204, 204, 264, 475, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 204, 268, 458, 31, 332, 435, 41, 458, 2457, 275, 3906, 1435, 19, 204, 264, 320, 204, 264, 314, 977, 273, 435, 41, 458, 440, 7152, 204, 264, 3906, 68, 1867, 289, 5787, 21, 66, 540, 322, 1129, 68, 834, 465, 368, 14, 348, 906, 292, 933, 13, 920, 68, 4588, 2395, 204, 264, 407, 3906, 68, 1867, 204, 204, 461, 1395, 68, 4782, 68, 1867, 13, 4782, 68, 1867, 31, 458, 17, 3906, 68, 481, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5307, 275, 3906, 1435, 1609, 523, 275, 3906, 424, 19, 204, 204, 264, 457, 31, 204, 268, 3906, 68, 1867, 322, 655, 330, 334, 3906, 1435, 311, 1395, 19, 204, 268, 3906, 68, 481, 322, 655, 330, 334, 3906, 424, 311, 1395, 275, 1435, 440, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 424, 917, 292, 3906, 68, 481, 204, 264, 348, 424, 292, 3906, 68, 481, 31, 204, 268, 314, 888, 275, 3906, 1112, 17, 1012, 690, 17, 329, 1136, 690, 204, 268, 3906, 289, 424, 64, 23, 66, 338, 368, 204, 268, 1012, 289, 435, 540, 424, 64, 21, 66, 338, 368, 204, 268, 1136, 289, 435, 540, 424, 64, 22, 66, 204, 268, 314, 1716, 275, 3906, 1435, 204, 268, 3906, 68, 1867, 64, 4782, 1799, 1530, 31, 409, 66, 289, 551, 22, 66, 540, 322, 409, 338, 1012, 14, 204, 204, 461, 1020, 68, 1129, 68, 11281, 13, 4782, 68, 1867, 31, 458, 14, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 1646, 1265, 5229, 830, 6505, 19, 204, 204, 264, 457, 31, 204, 268, 3906, 68, 1867, 322, 655, 330, 334, 3906, 1435, 311, 1020, 275, 1646, 1265, 292, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1646, 1265, 5229, 830, 6505, 19, 204, 264, 320, 204, 264, 314, 977, 846, 68, 11281, 311, 500, 204, 264, 846, 68, 11281, 289, 500, 204, 264, 314, 1861, 1048, 848, 690, 13460, 292, 275, 3906, 1435, 204, 264, 348, 296, 292, 933, 13, 22, 17, 1245, 13, 4782, 68, 1867, 64, 21, 20803, 204, 268, 314, 888, 275, 1265, 630, 275, 790, 690, 13460, 204, 268, 1265, 289, 1066, 13, 4782, 68, 1867, 64, 366, 1799, 78, 66, 348, 556, 292, 933, 13, 1796, 13, 4782, 68, 1867, 3694, 204, 268, 314, 1716, 846, 68, 11281, 397, 275, 790, 1265, 353, 5092, 204, 268, 846, 68, 11281, 289, 846, 13, 1129, 68, 11281, 17, 1265, 14, 204, 264, 407, 846, 68, 11281, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 537, 17, 17849, 275, 3906, 1435, 17, 7861, 490, 17, 329, 13889, 275, 1646, 1265, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 1842, 329, 6505, 497, 2599, 537, 204, 264, 300, 17, 279, 289, 1151, 68, 768, 374, 204, 264, 314, 1359, 275, 1646, 690, 311, 435, 540, 931, 67, 26, 204, 264, 846, 68, 834, 289, 435, 540, 931, 930, 720, 204, 264, 314, 1606, 3906, 424, 497, 2599, 537, 204, 264, 3906, 68, 481, 289, 1151, 68, 4782, 68, 481, 374, 204, 264, 314, 977, 275, 3906, 1435, 204, 264, 3906, 68, 1867, 289, 5345, 68, 4782, 68, 1867, 13, 72, 17, 846, 68, 834, 14, 204, 264, 314, 1716, 275, 3906, 1435, 204, 264, 1395, 68, 4782, 68, 1867, 13, 4782, 68, 1867, 17, 3906, 68, 481, 14, 204, 264, 314, 1752, 275, 1646, 1265, 204, 264, 846, 68, 11281, 289, 1020, 68, 1129, 68, 11281, 13, 4782, 68, 1867, 14, 204, 264, 314, 1198, 275, 1646, 1265, 204, 264, 456, 13, 1129, 68, 11281, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 768, 68, 553, 13, 553, 68, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 275, 537, 510, 329, 2584, 1163, 4578, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 537, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4578, 302, 275, 537, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 510, 292, 1151, 2291, 204, 268, 440, 1451, 13, 553, 68, 417, 17, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 305, 314, 1606, 275, 5641, 510, 4578, 204, 305, 407, 510, 68, 4103, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 417, 98, 508, 1193, 1280, 204, 268, 407, 3026, 204, 204, 461, 2252, 68, 36903, 13, 768, 68, 325, 31, 394, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 9246, 275, 537, 782, 1025, 273, 458, 302, 16565, 43779, 21560, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 325, 322, 325, 330, 334, 537, 782, 1174, 16565, 43779, 21560, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 2282, 458, 302, 16565, 43779, 21560, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 537, 782, 1025, 3509, 43779, 21560, 329, 1814, 311, 1892, 204, 264, 407, 2282, 1568, 339, 13, 79, 349, 5023, 14, 348, 43779, 5023, 292, 537, 68, 325, 19, 1590, 13854, 204, 204, 461, 949, 68, 79, 349, 5023, 68, 17250, 13, 36903, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 3989, 275, 43779, 5023, 6108, 1283, 6920, 35919, 19, 204, 204, 264, 457, 31, 204, 268, 35919, 322, 655, 64, 339, 1037, 332, 458, 302, 16565, 43779, 21560, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 43779, 5023, 6108, 1283, 6920, 35919, 19, 204, 264, 320, 204, 264, 314, 977, 275, 458, 311, 1640, 43779, 5023, 6108, 204, 264, 43779, 5023, 68, 17250, 289, 1306, 204, 264, 314, 977, 275, 790, 43779, 5023, 311, 500, 322, 1947, 27916, 28833, 14, 204, 264, 790, 68, 79, 349, 5023, 289, 500, 204, 264, 314, 1861, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1048, 848, 16565, 43779, 5023, 204, 264, 348, 43779, 5023, 292, 35919, 31, 204, 268, 314, 888, 275, 43779, 5023, 2712, 329, 6283, 311, 275, 458, 204, 268, 43779, 5023, 68, 17250, 19, 1223, 13, 79, 349, 5023, 338, 790, 68, 79, 349, 5023, 14, 204, 268, 314, 1716, 275, 790, 43779, 5023, 204, 268, 790, 68, 79, 349, 5023, 289, 43779, 5023, 204, 264, 407, 43779, 5023, 68, 17250, 204, 204, 461, 949, 68, 1819, 22, 68, 6452, 13, 79, 349, 5023, 68, 17250, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1085, 368, 2073, 560, 11375, 275, 542, 302, 368, 18, 79, 21508, 329, 571, 18, 79, 21508, 6108, 19, 204, 204, 264, 457, 31, 204, 268, 43779, 5023, 68, 17250, 322, 655, 64, 339, 1037, 332, 458, 302, 43779, 5023, 6108, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1351, 302, 275, 4442, 302, 368, 18, 79, 21508, 329, 571, 18, 79, 21508, 6108, 19, 204, 264, 320, 204, 264, 314, 3398, 275, 7428, 302, 368, 18, 79, 21508, 329, 571, 18, 79, 21508, 6108, 204, 264, 1040, 68, 22, 68, 79, 21508, 289, 43779, 5023, 68, 17250, 19, 765, 13, 22, 14, 204, 264, 1040, 68, 24, 68, 79, 21508, 289, 43779, 5023, 68, 17250, 19, 765, 13, 24, 14, 204, 264, 314, 455, 275, 1351, 302, 275, 4442, 204, 264, 407, 1040, 68, 22, 68, 79, 21508, 540, 1040, 68, 24, 68, 79, 21508, 204, 204, 461, 949, 68, 1819, 23, 68, 6452, 13, 36903, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1085, 435, 2073, 560, 11375, 275, 1113, 542, 302, 8164, 19, 204, 204, 264, 457, 31, 204, 268, 35919, 322, 655, 64, 339, 1037, 332, 458, 302, 16565, 43779, 21560, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1113, 542, 302, 8164, 19, 204, 264, 320, 204, 264, 314, 977, 273, 955, 311, 1640, 275, 542, 302, 8164, 311, 848, 16565, 204, 264, 1113, 68, 12970, 289, 463, 21, 31, 368, 98, 204, 264, 314, 1861, 1048, 848, 16565, 43779, 5023, 204, 264, 348, 43779, 5023, 292, 35919, 31, 204, 268, 314, 977, 275, 542, 302, 8164, 311, 275, 790, 16565, 204, 268, 8164, 289, 500, 204, 268, 314, 778, 275, 3090, 571, 35919, 348, 2237, 7369, 204, 268, 348, 860, 68, 79, 349, 5023, 292, 933, 13, 79, 349, 5023, 338, 571, 17, 43779, 5023, 330, 204, 305, 314, 828, 275, 3090, 16565, 353, 292, 275, 955, 17, 881, 1163, 8164, 311, 275, 790, 16565, 204, 305, 397, 860, 68, 79, 349, 5023, 292, 1113, 68, 12970, 19, 3261, 1293, 204, 485, 8164, 1412, 1113, 68, 12970, 64, 1509, 68, 79, 349, 5023, 66, 204, 268, 314, 1716, 275, 955, 440, 275, 542, 302, 8164, 311, 275, 790, 16565, 204, 268, 1113, 68, 12970, 64, 79, 349, 5023, 66, 289, 8164, 204, 264, 314, 455, 275, 1113, 542, 302, 8164, 311, 275, 1673, 16565, 204, 264, 407, 1113, 68, 12970, 64, 1129, 13, 36903, 2395, 204, 204, 461, 667, 1293, 204, 264, 314, 1606, 275, 537, 510, 204, 264, 537, 68, 325, 289, 1151, 68, 768, 68, 553, 499, 4599, 20, 1003, 19, 3039, 431, 204, 264, 314, 2735, 275, 537, 782, 1025, 16565, 43779, 21560, 204, 264, 35919, 289, 2252, 68, 36903, 13, 768, 68, 325, 14, 204, 264, 314, 1255, 275, 5082, 18, 266, 16565, 322, 24, 43779, 3450, 5092, 1194, 275, 6862, 16565, 14, 204, 264, 35919, 19, 1223, 13, 36903, 3327, 22, 66, 465, 571, 14, 204, 264, 314, 888, 275, 43779, 5023, 6108, 204, 264, 43779, 5023, 68, 17250, 289, 949, 68, 79, 349, 5023, 68, 17250, 13, 36903, 14, 204, 264, 314, 888, 329, 456, 275, 1085, 368, 2073, 204, 264, 456, 499, 8837, 368, 2073, 2180, 949, 68, 1819, 22, 68, 6452, 13, 79, 349, 5023, 68, 17250, 602, 204, 264, 314, 888, 329, 456, 275, 1085, 435, 2073, 204, 264, 456, 499, 8837, 435, 2073, 2180, 949, 68, 1819, 23, 68, 6452, 13, 36903, 602, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 1814, 490, 311, 3124, 1322, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 292, 3124, 1322, 19, 204, 264, 320, 204, 264, 407, 537, 13, 4202, 789, 3006, 374, 204, 204, 461, 2037, 68, 1756, 68, 2953, 13, 1454, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 273, 1470, 1048, 943, 329, 5925, 275, 1470, 19, 204, 204, 264, 457, 31, 204, 268, 943, 322, 325, 330, 334, 1470, 1048, 943, 311, 2037, 19, 204, 264, 320, 204, 264, 456, 13, 1454, 14, 204, 264, 456, 499, 22450, 44482, 431, 204, 204, 461, 1012, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4055, 275, 1470, 329, 2906, 575, 537, 19, 204, 264, 320, 204, 264, 456, 499, 15352, 311, 1214, 717, 10551, 1470, 19, 35683, 872, 7188, 523, 273, 10306, 7004, 299, 5879, 1280, 204, 264, 456, 499, 5009, 874, 970, 2914, 348, 1214, 7004, 3350, 2212, 204, 264, 456, 499, 22, 19, 334, 12724, 431, 204, 264, 456, 499, 23, 19, 334, 21518, 431, 204, 615, 264, 7004, 3350, 68, 4352, 289, 636, 68, 816, 68, 768, 499, 11142, 770, 872, 1307, 36, 2838, 368, 348, 275, 12724, 19, 2838, 435, 348, 275, 21518, 19, 2810, 204, 615, 264, 397, 7004, 3350, 68, 4352, 564, 388, 22, 559, 204, 268, 12724, 68, 1756, 374, 204, 264, 1677, 7004, 3350, 68, 4352, 564, 388, 23, 559, 204, 268, 14498, 68, 1756, 374, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 3508, 19, 3665, 1631, 21287, 1214, 34003, 1280, 204, 268, 1012, 68, 1756, 374, 204, 204, 461, 12724, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 1426, 12724, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 5009, 1307, 311, 275, 12724, 19, 3665, 1307, 23926, 19, 332, 20280, 40923, 872, 329, 872, 8527, 302, 5043, 2210, 1280, 204, 264, 2037, 68, 1756, 68, 2953, 499, 5009, 10564, 497, 273, 20280, 5087, 1280, 204, 204, 461, 14498, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 14498, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 2551, 872, 7188, 9999, 292, 275, 21518, 1280, 204, 264, 456, 499, 11594, 872, 7188, 9101, 685, 1214, 7004, 3350, 17, 872, 1020, 437, 318, 270, 1930, 27484, 6695, 1064, 3872, 286, 1070, 523, 273, 11118, 1280, 204, 264, 456, 499, 5009, 874, 970, 2914, 2212, 204, 264, 456, 499, 22, 19, 29793, 311, 275, 1064, 431, 204, 264, 456, 499, 23, 19, 21775, 3850, 431, 204, 615, 264, 2086, 68, 4352, 289, 636, 68, 816, 68, 768, 499, 3728, 770, 872, 770, 36, 2838, 368, 311, 9023, 311, 275, 1064, 19, 2838, 435, 311, 8809, 3850, 19, 2810, 204, 615, 264, 397, 2086, 68, 4352, 564, 388, 22, 559, 204, 268, 9023, 68, 633, 68, 1486, 374, 204, 264, 1677, 2086, 68, 4352, 564, 388, 23, 559, 204, 268, 8809, 68, 1486, 374, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 3508, 19, 3665, 1631, 21287, 1214, 34003, 1280, 204, 268, 14498, 68, 1756, 374, 204, 204, 461, 9023, 68, 633, 68, 1486, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 16482, 311, 275, 1064, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 673, 1064, 5366, 17, 379, 42163, 17, 2745, 588, 353, 871, 360, 6779, 329, 382, 3315, 3237, 311, 2106, 872, 497, 273, 14963, 21216, 5094, 1280, 204, 264, 456, 499, 5842, 302, 1605, 2828, 1120, 6156, 872, 1882, 1214, 34003, 1280, 204, 264, 456, 499, 5009, 874, 970, 2914, 2212, 204, 264, 456, 499, 22, 19, 1346, 3315, 1180, 89, 431, 204, 264, 456, 499, 23, 19, 27692, 23852, 431, 204, 615, 264, 726, 68, 4352, 289, 636, 68, 816, 68, 768, 499, 3728, 770, 872, 5710, 36, 2838, 368, 348, 437, 3315, 1180, 89, 19, 2838, 435, 348, 14848, 23852, 19, 2810, 204, 615, 264, 397, 726, 68, 4352, 564, 388, 22, 559, 204, 268, 3315, 1180, 89, 68, 1756, 374, 204, 264, 1677, 726, 68, 4352, 564, 388, 23, 559, 204, 268, 14848, 68, 2184, 549, 68, 1756, 374, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 3508, 19, 3665, 1631, 21287, 1214, 34003, 1280, 204, 268, 9023, 68, 633, 68, 1486, 374, 204, 204, 461, 8809, 68, 1486, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 24450, 275, 1064, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 19322, 3508, 19, 7954, 872, 7188, 22920, 17, 872, 636, 24600, 560, 273, 14848, 329, 38630, 13136, 440, 1214, 3307, 1280, 204, 264, 2037, 68, 1756, 68, 2953, 499, 5009, 1466, 24600, 560, 273, 14848, 329, 38630, 27689, 1280, 204, 204, 461, 3315, 1180, 89, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 3315, 1180, 89, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 47, 360, 6779, 5366, 379, 779, 19027, 19027, 12, 329, 8650, 872, 273, 44667, 4720, 3315, 1180, 89, 1280, 204, 264, 456, 499, 5009, 15413, 719, 6432, 830, 2344, 22121, 1214, 7004, 3350, 329, 490, 677, 9373, 3303, 1280, 204, 264, 456, 499, 7043, 8450, 24333, 8450, 48995, 5397, 204, 264, 456, 499, 5009, 7188, 22920, 329, 273, 14848, 7510, 13603, 872, 17, 1101, 1214, 11192, 3315, 1180, 89, 7036, 691, 7187, 7051, 11018, 447, 1280, 204, 264, 456, 499, 5009, 7188, 24479, 33555, 1025, 437, 19516, 13346, 19, 595, 84, 2981, 6779, 19, 3665, 7940, 830, 1214, 8595, 30852, 329, 5794, 273, 9819, 3307, 1280, 204, 264, 456, 499, 37015, 17, 872, 6612, 275, 1470, 5397, 204, 204, 461, 14848, 68, 2184, 549, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 14848, 23852, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 47, 360, 6779, 5366, 17, 379, 281, 1633, 94, 1675, 10655, 3665, 35755, 1214, 6646, 329, 4566, 348, 275, 3315, 1180, 89, 329, 566, 5366, 379, 1625, 3771, 17, 24375, 204, 264, 456, 499, 85, 2103, 1214, 1526, 17, 1675, 17786, 1840, 292, 273, 7135, 302, 11503, 23003, 1280, 204, 264, 456, 499, 3837, 677, 9373, 19, 3665, 1307, 311, 5590, 1280, 204, 264, 456, 499, 5009, 7510, 8527, 17, 1101, 1675, 872, 27487, 1214, 12117, 94, 14848, 23852, 1280, 204, 264, 456, 499, 47, 360, 6779, 24479, 6644, 329, 872, 46789, 23852, 275, 14848, 23852, 292, 1704, 9621, 1280, 204, 264, 456, 499, 6031, 8290, 21650, 560, 275, 14848, 329, 872, 5794, 275, 3022, 302, 1214, 3307, 13896, 34964, 1465, 871, 360, 6779, 677, 5741, 1280, 204, 264, 2037, 68, 1756, 68, 2953, 499, 47, 360, 6779, 10564, 497, 275, 14848, 5087, 1280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 1470, 3546, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 636, 68, 816, 68, 768, 499, 2191, 47070, 311, 3506, 275, 1470, 19, 2838, 10080, 902, 311, 1012, 1470, 19, 2810, 204, 268, 397, 575, 68, 768, 564, 388, 5029, 559, 204, 305, 2280, 204, 268, 902, 31, 204, 305, 1012, 68, 1756, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 838, 68, 5763, 68, 15554, 13, 5763, 31, 458, 14, 393, 2497, 31, 204, 264, 320, 204, 264, 2605, 437, 11282, 497, 273, 800, 3599, 19, 204, 204, 264, 457, 31, 204, 268, 3599, 322, 655, 330, 334, 537, 3599, 311, 838, 437, 11282, 497, 19, 204, 204, 264, 475, 31, 204, 268, 2497, 31, 1346, 11282, 726, 348, 275, 800, 3599, 19, 204, 264, 320, 204, 264, 314, 666, 437, 11282, 497, 275, 800, 3599, 204, 264, 407, 2497, 13, 5763, 14, 204, 204, 461, 13767, 68, 6298, 68, 2715, 68, 2539, 13, 15554, 31, 2497, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1739, 675, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1048, 437, 11282, 974, 275, 1682, 374, 741, 19, 204, 204, 264, 457, 31, 204, 268, 11282, 322, 2062, 330, 334, 11282, 726, 311, 13767, 1048, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 11282, 974, 1682, 374, 741, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1682, 1184, 497, 275, 11282, 329, 456, 490, 204, 305, 456, 13, 2715, 13, 15554, 602, 204, 268, 827, 26285, 31, 204, 305, 314, 14221, 275, 3546, 1330, 6491, 353, 4151, 204, 305, 2280, 204, 204, 461, 13767, 68, 6298, 68, 1538, 68, 5891, 13, 15554, 31, 2497, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1739, 675, 1048, 437, 11282, 974, 273, 348, 3546, 19, 204, 204, 264, 457, 31, 204, 268, 11282, 322, 2062, 330, 334, 11282, 726, 311, 13767, 1048, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 11282, 974, 273, 348, 3546, 204, 264, 348, 1184, 292, 11282, 31, 204, 268, 314, 1198, 848, 1184, 292, 275, 11282, 204, 268, 456, 13, 1271, 17, 1136, 833, 6947, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 3599, 204, 264, 1763, 68, 5763, 289, 551, 22, 17, 435, 17, 571, 17, 681, 66, 204, 615, 264, 314, 666, 437, 11282, 204, 264, 3599, 68, 15554, 289, 838, 68, 5763, 68, 15554, 13, 2569, 68, 5763, 14, 204, 615, 264, 456, 499, 9970, 1070, 974, 1682, 374, 741, 2212, 204, 264, 13767, 68, 6298, 68, 2715, 68, 2539, 13, 5763, 68, 15554, 14, 204, 615, 264, 314, 4682, 48128, 618, 1698, 2284, 4533, 17, 572, 1519, 311, 28343, 490, 348, 275, 1682, 1763, 204, 264, 3599, 68, 15554, 289, 838, 68, 5763, 68, 15554, 13, 2569, 68, 5763, 14, 204, 615, 264, 456, 3273, 83, 9970, 1070, 974, 348, 3546, 2212, 204, 264, 13767, 68, 6298, 68, 1538, 68, 5891, 13, 5763, 68, 15554, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 2454, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 4143, 970, 1892, 497, 2599, 537, 17, 2457, 275, 2699, 329, 2344, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 2699, 329, 2344, 19, 204, 264, 320, 204, 264, 314, 1606, 970, 1892, 497, 2599, 537, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 2699, 17, 2344, 289, 2304, 13, 339, 17, 537, 499, 2101, 2699, 329, 2344, 322, 2816, 18, 7996, 330, 6165, 1590, 1447, 204, 305, 407, 2699, 17, 2344, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 970, 1892, 5289, 560, 273, 2817, 1280, 204, 204, 461, 1356, 68, 2124, 68, 266, 68, 4994, 13, 4994, 31, 421, 17, 2344, 31, 421, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 275, 800, 2344, 353, 1097, 348, 275, 800, 2699, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 322, 339, 330, 334, 2699, 322, 22, 18, 1258, 789, 204, 268, 2344, 322, 339, 330, 334, 2344, 322, 22, 18, 5639, 789, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 2344, 353, 1097, 348, 275, 2699, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 968, 275, 542, 302, 3054, 292, 848, 2699, 204, 264, 3054, 68, 266, 68, 4994, 289, 463, 204, 268, 368, 31, 7207, 17, 226, 314, 10137, 204, 268, 435, 31, 4662, 17, 226, 314, 11788, 322, 24018, 1950, 18, 26517, 1324, 14, 204, 268, 571, 31, 7207, 17, 226, 314, 9402, 204, 268, 681, 31, 2468, 17, 226, 314, 9923, 204, 268, 720, 31, 7207, 17, 226, 314, 6903, 204, 268, 887, 31, 2468, 17, 226, 314, 9815, 204, 268, 1168, 31, 7207, 17, 226, 314, 10228, 204, 268, 1132, 31, 7207, 17, 226, 314, 9907, 204, 268, 1233, 31, 2468, 17, 226, 314, 11047, 204, 268, 931, 31, 7207, 17, 226, 314, 11261, 204, 268, 2958, 31, 2468, 17, 226, 314, 11639, 204, 268, 1598, 31, 7207, 226, 314, 11157, 204, 264, 1211, 204, 264, 314, 778, 397, 275, 2699, 353, 1097, 204, 264, 397, 2699, 962, 368, 521, 2699, 1323, 1598, 31, 204, 268, 980, 987, 499, 1962, 2699, 431, 204, 264, 314, 778, 397, 275, 2344, 353, 1097, 348, 275, 2699, 204, 264, 407, 368, 2186, 2344, 2186, 3054, 68, 266, 68, 4994, 64, 4994, 66, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 204, 264, 2699, 17, 2344, 289, 636, 68, 816, 68, 768, 374, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 2344, 353, 1097, 348, 275, 2699, 204, 268, 722, 289, 1356, 68, 2124, 68, 266, 68, 4994, 13, 4994, 17, 2344, 14, 204, 268, 456, 499, 12950, 7, 397, 722, 902, 388, 3882, 431, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 537, 289, 2454, 19, 10376, 19, 10969, 204, 264, 667, 374, 204, 0, 647, 9987, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 20987, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3301, 570, 348, 904, 1094, 17, 9530, 2323, 2357, 1702, 448, 13674, 17, 5247, 329, 1395, 18912, 17, 329, 575, 3877, 1995, 19, 204, 204, 264, 1532, 31, 204, 268, 13674, 322, 6383, 19, 15976, 330, 6581, 4634, 348, 275, 570, 1014, 19, 204, 268, 1966, 68, 269, 322, 2664, 330, 15811, 1330, 275, 570, 1014, 867, 1966, 19, 204, 268, 2908, 68, 269, 322, 2664, 330, 15811, 1330, 275, 570, 1014, 867, 1673, 2908, 19, 204, 268, 575, 68, 579, 322, 325, 330, 3877, 1995, 302, 275, 575, 1415, 1966, 521, 2908, 275, 570, 1014, 19, 204, 264, 320, 204, 204, 264, 314, 6581, 4634, 348, 275, 570, 1014, 204, 264, 1276, 289, 1094, 19, 33780, 13, 204, 268, 4408, 68, 644, 34, 1021, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17, 716, 268, 1540, 34, 6383, 19, 6383, 25, 17, 716, 268, 24335, 34, 1975, 17, 716, 268, 1863, 68, 998, 34, 1021, 17, 716, 268, 2220, 34, 1021, 17, 716, 268, 1340, 68, 492, 1022, 20771, 4634, 348, 275, 570, 1014, 7, 204, 264, 1179, 204, 204, 264, 314, 15811, 1330, 275, 570, 1014, 867, 1966, 204, 264, 1966, 68, 269, 289, 1094, 19, 6602, 13, 204, 268, 6545, 68, 1520, 68, 826, 34, 1021, 17, 716, 268, 1340, 68, 492, 1022, 20067, 1330, 275, 570, 1014, 867, 1966, 7, 204, 264, 1179, 204, 204, 264, 314, 15811, 1330, 275, 570, 1014, 867, 1673, 2908, 204, 264, 2908, 68, 269, 289, 1094, 19, 6602, 13, 204, 268, 6545, 68, 1520, 34, 1021, 17, 716, 268, 1340, 68, 492, 1022, 20067, 1330, 275, 570, 1014, 867, 1673, 2908, 7, 204, 264, 1179, 204, 204, 264, 314, 3877, 1995, 302, 275, 575, 1415, 1966, 521, 2908, 275, 570, 1014, 204, 264, 575, 68, 579, 289, 1094, 19, 27667, 46005, 632, 1023, 1186, 13, 204, 268, 3749, 34, 1021, 17, 716, 268, 4247, 34, 1021, 17, 716, 268, 24335, 34, 1975, 17, 716, 268, 1340, 68, 492, 1022, 6003, 1995, 302, 275, 575, 1415, 1966, 521, 2908, 275, 570, 1014, 7, 204, 264, 1179, 204, 204, 264, 850, 5694, 31, 204, 268, 314, 1359, 10003, 34, 1021, 311, 5068, 5959, 497, 4141, 273, 1104, 1435, 348, 808, 570, 204, 268, 10003, 289, 959, 204, 204, 8, 1165, 1265, 31, 204, 676, 2221, 13, 15542, 330, 204, 264, 2143, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 1692, 289, 1094, 19, 15478, 13, 5271, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 2574, 204, 0, 990, 11215, 17647, 22698, 14330, 3984, 1001, 19560, 28, 2903, 2500, 36885, 5639, 2544, 12625, 1638, 30608, 14330, 26324, 3541, 14330, 6841, 20743, 568, 6364, 1929, 3429, 12869, 17445, 408, 29, 4228, 1511, 11107, 1990, 16910, 460, 27008, 22698, 5552, 3304, 17486, 9905, 568, 204, 990, 11215, 17647, 22698, 14330, 3984, 1001, 3571, 16904, 14330, 1764, 2338, 14330, 26324, 3541, 37680, 1189, 3984, 6347, 4660, 47403, 5552, 4696, 725, 1191, 5552, 4696, 725, 23076, 15780, 26010, 4696, 1227, 22698, 15780, 26010, 4696, 17678, 408, 5718, 854, 14330, 26324, 3541, 20057, 39629, 47380, 34636, 2849, 6364, 568, 14330, 3984, 1189, 4438, 31420, 17678, 408, 3984, 3856, 3571, 49082, 24116, 3820, 4228, 37108, 3820, 568, 3984, 6347, 2498, 6935, 921, 29, 2903, 22, 2544, 13, 29236, 2544, 14, 24886, 28, 1398, 2188, 1789, 921, 17647, 19771, 12836, 14330, 11194, 8069, 18858, 17068, 14330, 1456, 408, 15020, 7224, 17526, 408, 2253, 46125, 28642, 28, 2903, 1641, 24829, 7342, 6097, 9780, 2704, 47254, 568, 204, 942, 18673, 2823, 16118, 30608, 14330, 2537, 6589, 6155, 6642, 408, 1432, 1638, 18884, 2860, 14672, 13874, 6478, 13874, 3653, 10369, 9905, 408, 2823, 5718, 6935, 4660, 6998, 22216, 27579, 460, 6128, 3455, 408, 1531, 684, 232, 22851, 13272, 568, 33325, 17445, 28070, 854, 26, 2903, 2300, 2544, 408, 31226, 4796, 26434, 14330, 26324, 3541, 27494, 568, 33871, 9198, 37505, 2860, 22969, 408, 1432, 5584, 2134, 5049, 5820, 1168, 6074, 24, 725, 1511, 5007, 39285, 4966, 2860, 5049, 5820, 16964, 3534, 568, 0, 658, 1687, 368, 31, 12775, 275, 800, 1581, 204, 673, 1581, 800, 353, 1743, 2883, 67, 23, 70, 338, 688, 2809, 67, 23, 70, 289, 368, 18, 23, 688, 2809, 67, 23, 70, 2176, 1785, 1519, 311, 3126, 329, 15469, 5620, 808, 12458, 1581, 19, 204, 204, 658, 1687, 435, 31, 20084, 4802, 12458, 18387, 204, 5842, 302, 275, 9728, 18387, 292, 26261, 353, 1743, 2883, 67, 23, 70, 465, 688, 2809, 67, 23, 70, 289, 368, 2176, 1058, 6572, 1120, 444, 11897, 348, 18656, 275, 800, 1581, 19, 204, 204, 658, 1687, 571, 31, 39469, 3432, 275, 4802, 6572, 311, 2216, 275, 800, 1581, 204, 7374, 275, 6572, 1743, 2883, 67, 23, 70, 465, 688, 2809, 67, 23, 70, 289, 368, 2543, 572, 618, 8314, 1743, 2883, 67, 23, 70, 9, 448, 686, 22, 338, 688, 2809, 67, 23, 70, 2176, 1058, 1660, 5628, 38347, 275, 3099, 311, 19687, 1743, 2883, 67, 23, 70, 2176, 204, 204, 658, 1687, 681, 31, 16641, 275, 2231, 348, 1743, 2883, 67, 23, 70, 9, 1025, 275, 800, 1581, 204, 18106, 686, 22, 338, 688, 2809, 67, 23, 70, 9, 348, 1743, 2883, 67, 23, 70, 9, 292, 275, 2171, 1581, 31, 7269, 22, 338, 688, 2809, 67, 23, 70, 14, 338, 688, 2809, 67, 23, 70, 289, 368, 338, 435, 65, 2809, 67, 23, 70, 2176, 1058, 11388, 311, 686, 22, 338, 435, 65, 2809, 67, 23, 70, 289, 368, 338, 435, 65, 2809, 67, 23, 70, 2543, 928, 29063, 275, 800, 1581, 19, 204, 204, 658, 1687, 720, 31, 25017, 3979, 974, 275, 6246, 2746, 2089, 204, 12129, 2501, 311, 2909, 630, 275, 1581, 1743, 2883, 67, 23, 70, 338, 688, 2809, 67, 23, 70, 9, 353, 311, 11506, 490, 448, 273, 798, 302, 275, 6246, 2746, 2089, 348, 10115, 17, 1743, 2809, 13, 23, 70, 14, 289, 688, 2809, 67, 23, 70, 338, 688, 2883, 67, 23, 70, 2176, 3355, 17, 2077, 5210, 3237, 867, 311, 3126, 329, 6767, 275, 800, 1581, 17, 928, 572, 9314, 3870, 1924, 11074, 329, 6572, 20131, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 22, 18, 23, 65, 2809, 67, 23, 70, 1617, 0, 647, 2010, 448, 645, 204, 531, 4277, 19, 19123, 532, 18818, 204, 531, 4277, 19, 809, 68, 7419, 532, 25774, 204, 531, 4277, 19, 11901, 532, 15086, 204, 531, 4277, 19, 5878, 532, 1895, 68, 43793, 17, 25023, 68, 18797, 68, 2224, 204, 204, 461, 951, 68, 2017, 68, 18883, 68, 8895, 13, 204, 264, 951, 68, 2226, 31, 645, 19, 766, 17, 716, 264, 469, 68, 1219, 31, 645, 19, 766, 17, 716, 264, 2044, 68, 1590, 31, 458, 17, 716, 264, 5807, 31, 394, 289, 379, 2854, 12031, 12, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 2672, 273, 1400, 8180, 5266, 974, 2333, 1813, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 951, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 2226, 322, 1123, 19, 766, 330, 7502, 2048, 19, 204, 264, 338, 469, 68, 1219, 322, 1123, 19, 766, 330, 7502, 1769, 19, 204, 264, 338, 2044, 68, 1590, 322, 655, 330, 14258, 18, 6877, 3404, 19, 204, 264, 338, 5807, 322, 325, 330, 20534, 5807, 322, 2305, 31, 379, 2854, 12031, 3930, 204, 204, 264, 475, 31, 204, 264, 338, 6020, 68, 809, 322, 46315, 330, 16728, 1400, 8180, 5266, 19, 204, 264, 338, 11850, 322, 15151, 11722, 330, 7383, 11850, 1376, 348, 2648, 12940, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 968, 23010, 25807, 2817, 204, 268, 314, 4496, 273, 955, 348, 4037, 12996, 204, 268, 26530, 68, 35806, 68, 3465, 289, 463, 204, 305, 379, 83, 68, 18718, 597, 551, 1003, 17, 2753, 17, 2031, 17, 5106, 17, 3861, 648, 716, 305, 379, 1129, 68, 5755, 597, 551, 1003, 17, 2753, 17, 1607, 17, 2031, 17, 5106, 66, 204, 268, 1211, 204, 204, 268, 314, 977, 1400, 8180, 5266, 329, 2333, 1813, 204, 268, 314, 4496, 273, 2363, 18383, 741, 348, 379, 2854, 12031, 12, 5807, 204, 268, 18383, 289, 1895, 68, 43793, 13, 12031, 68, 18797, 68, 2224, 14, 397, 5807, 564, 379, 2854, 12031, 12, 902, 5807, 204, 268, 26530, 289, 25774, 13, 204, 305, 13357, 34, 46315, 2144, 716, 305, 6941, 68, 2700, 34, 9235, 68, 35806, 68, 3465, 17, 716, 305, 300, 68, 10071, 8981, 22, 17, 716, 305, 2044, 34, 4869, 68, 1590, 17, 716, 305, 2874, 34, 23, 17, 716, 305, 18383, 34, 34457, 17, 716, 305, 304, 2714, 34, 1021, 204, 268, 1179, 204, 204, 268, 314, 12155, 2048, 974, 2599, 11850, 204, 268, 314, 4496, 273, 7490, 741, 348, 12940, 1784, 444, 1182, 16352, 204, 268, 11850, 289, 15086, 374, 204, 268, 10488, 68, 1219, 68, 2226, 289, 11850, 19, 2714, 68, 4072, 13, 1219, 68, 2226, 14, 204, 204, 268, 314, 2672, 1400, 8180, 5266, 204, 268, 26530, 19, 2714, 13, 13050, 68, 1219, 68, 2226, 17, 469, 68, 1219, 14, 204, 204, 268, 407, 26530, 19, 6222, 68, 16247, 14596, 11850, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 521, 456, 908, 943, 204, 268, 456, 13, 75, 7, 596, 1737, 1400, 8180, 5266, 31, 463, 74, 743, 204, 268, 980, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1672, 424, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 951, 68, 2226, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 931, 14, 204, 264, 469, 68, 1219, 289, 645, 19, 2017, 19, 5574, 13, 21, 17, 435, 17, 1607, 14, 204, 264, 2044, 68, 1590, 289, 720, 204, 204, 264, 314, 2672, 275, 570, 204, 264, 6020, 68, 809, 17, 11850, 289, 951, 68, 2017, 68, 18883, 68, 8895, 13, 1219, 68, 2226, 17, 469, 68, 1219, 17, 2044, 68, 1590, 14, 204, 204, 264, 314, 1198, 275, 2765, 2072, 329, 275, 2765, 2279, 204, 264, 456, 499, 19127, 4435, 31, 6277, 6020, 68, 809, 19, 505, 68, 2645, 1447, 204, 264, 456, 499, 19127, 13639, 31, 6277, 6020, 68, 809, 19, 2224, 13, 20908, 19, 4072, 13, 1219, 68, 2226, 659, 469, 68, 1219, 602, 204, 0, 531, 1498, 532, 783, 17, 1535, 204, 531, 20927, 68, 32625, 532, 5496, 596, 17, 2601, 204, 204, 676, 25891, 2940, 13, 2940, 330, 204, 264, 320, 2940, 7514, 348, 1104, 1727, 2744, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 908, 31, 5496, 596, 330, 204, 268, 370, 19, 718, 289, 908, 204, 268, 370, 19, 1454, 289, 283, 7, 7073, 1727, 908, 31, 463, 718, 2495, 204, 268, 2234, 3853, 924, 889, 327, 19, 1454, 14, 204, 204, 676, 5496, 26580, 1334, 93, 992, 13, 2940, 330, 204, 264, 320, 2940, 7514, 348, 1104, 412, 1972, 2744, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 908, 31, 5496, 596, 330, 204, 268, 370, 19, 718, 289, 908, 204, 268, 370, 19, 1454, 289, 283, 7, 7073, 412, 1972, 908, 31, 463, 718, 2495, 204, 268, 2234, 3853, 924, 889, 327, 19, 1454, 14, 204, 204, 676, 5496, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 1104, 1727, 19, 204, 204, 264, 1532, 31, 204, 268, 2143, 322, 325, 330, 334, 1104, 2143, 19, 204, 268, 1482, 322, 325, 330, 334, 1104, 1482, 19, 204, 268, 2601, 68, 1031, 322, 325, 330, 334, 1104, 1727, 782, 19, 204, 268, 1727, 322, 4437, 64, 5064, 1037, 334, 1104, 1727, 726, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2143, 31, 394, 17, 1482, 31, 394, 17, 2601, 68, 1031, 31, 394, 330, 204, 268, 320, 204, 268, 977, 273, 717, 1104, 1727, 19, 204, 204, 268, 457, 31, 204, 305, 2143, 322, 325, 330, 334, 1104, 2143, 19, 204, 305, 1482, 322, 325, 330, 334, 1104, 1482, 19, 204, 305, 2601, 68, 1031, 322, 325, 330, 334, 1104, 1727, 782, 19, 204, 268, 320, 204, 268, 370, 19, 2574, 289, 2143, 204, 268, 370, 19, 1989, 289, 1482, 204, 268, 370, 19, 2933, 68, 1031, 289, 2601, 68, 1031, 204, 268, 370, 19, 2602, 289, 443, 204, 204, 264, 436, 2601, 68, 633, 68, 2819, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9050, 273, 1727, 311, 275, 1104, 19, 204, 204, 268, 1632, 31, 204, 305, 25891, 2940, 31, 828, 273, 1104, 1727, 908, 3459, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 9050, 273, 1727, 311, 275, 1104, 204, 305, 370, 19, 2602, 289, 2601, 13, 204, 485, 575, 34, 327, 19, 2574, 17, 204, 485, 1482, 34, 327, 19, 1989, 17, 204, 485, 303, 6190, 34, 327, 19, 2933, 68, 1031, 204, 305, 1179, 204, 268, 827, 5496, 596, 448, 318, 31, 204, 305, 314, 5149, 273, 2363, 2710, 348, 1104, 1727, 2744, 204, 305, 980, 25891, 2940, 13, 74, 14, 204, 204, 264, 436, 4490, 68, 2120, 13, 327, 17, 1484, 31, 394, 17, 8523, 68, 1309, 31, 783, 64, 1386, 66, 289, 10336, 393, 443, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 268, 320, 204, 268, 5635, 273, 4053, 1484, 19, 204, 204, 268, 457, 31, 204, 305, 1484, 322, 325, 330, 334, 4053, 1484, 311, 4490, 19, 204, 305, 8523, 68, 1309, 322, 1218, 64, 1386, 648, 1448, 330, 334, 8523, 1019, 348, 275, 1484, 19, 1243, 311, 44138, 204, 204, 268, 1632, 31, 204, 305, 5496, 26580, 1334, 93, 992, 31, 828, 273, 1104, 412, 1972, 908, 3459, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 666, 273, 3370, 726, 311, 4490, 275, 1484, 204, 305, 3370, 289, 370, 19, 2602, 19, 4322, 374, 204, 305, 314, 5635, 275, 1484, 440, 8523, 1019, 204, 305, 3370, 19, 4118, 13, 2120, 17, 8523, 68, 1309, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 370, 19, 2602, 19, 4827, 374, 204, 268, 827, 5496, 596, 448, 318, 31, 204, 305, 314, 5149, 273, 2363, 2710, 348, 1104, 412, 1972, 2744, 204, 305, 980, 5496, 26580, 1334, 93, 992, 13, 74, 14, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 726, 204, 305, 397, 379, 4322, 12, 292, 24650, 1293, 204, 485, 3370, 19, 3529, 374, 204, 204, 264, 436, 3671, 68, 2602, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5706, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1727, 353, 7634, 204, 268, 397, 370, 19, 2602, 31, 204, 305, 314, 5706, 275, 1727, 204, 305, 370, 19, 2602, 19, 3529, 374, 204, 305, 314, 8715, 275, 1727, 726, 204, 305, 370, 19, 2602, 289, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1104, 726, 204, 264, 1863, 289, 5496, 499, 2574, 528, 388, 1989, 528, 388, 2933, 68, 1031, 431, 204, 615, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 204, 268, 1863, 19, 2933, 68, 633, 68, 2819, 374, 204, 822, 268, 314, 5635, 273, 1484, 204, 268, 1484, 289, 388, 7097, 540, 7281, 1435, 68, 417, 7, 204, 268, 1863, 19, 4118, 68, 2120, 13, 2120, 14, 204, 822, 264, 827, 322, 7073, 5064, 2940, 17, 5496, 26580, 1334, 93, 992, 14, 448, 318, 31, 204, 268, 314, 1426, 1104, 2805, 204, 268, 456, 13, 74, 14, 204, 264, 6666, 31, 204, 268, 314, 5706, 275, 1104, 1727, 204, 268, 1863, 19, 3529, 68, 2602, 374, 204, 0, 647, 1127, 204, 647, 2454, 204, 647, 690, 204, 531, 1498, 532, 1535, 204, 204, 461, 636, 68, 1976, 68, 5154, 68, 417, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 275, 588, 302, 275, 790, 3467, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 588, 302, 275, 790, 3467, 19, 204, 264, 320, 204, 264, 407, 1127, 19, 546, 19, 11498, 13, 4807, 19, 4983, 64, 21, 694, 204, 204, 461, 838, 68, 5192, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 4521, 292, 275, 1883, 27445, 44724, 19205, 6688, 2740, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4521, 292, 275, 1883, 27445, 44724, 19205, 6688, 2740, 19, 204, 264, 320, 204, 264, 407, 690, 19, 7899, 10728, 62, 10, 82, 10, 73, 10, 45, 10, 50, 10, 56, 431, 204, 204, 461, 15549, 68, 2375, 13, 2100, 68, 546, 31, 394, 17, 717, 68, 417, 68, 4830, 31, 394, 17, 711, 68, 553, 68, 417, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 36297, 1860, 292, 275, 800, 1445, 560, 5209, 275, 717, 588, 4016, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 1860, 311, 15549, 19, 204, 268, 717, 68, 417, 68, 4830, 322, 325, 330, 334, 4016, 311, 881, 311, 275, 7830, 302, 848, 510, 588, 19, 204, 268, 711, 68, 553, 68, 417, 322, 325, 330, 334, 588, 302, 275, 711, 510, 311, 2281, 311, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 1860, 27959, 19, 204, 264, 320, 204, 264, 314, 977, 273, 4328, 348, 275, 542, 302, 1860, 27959, 204, 264, 510, 68, 765, 289, 500, 204, 615, 264, 314, 1861, 1048, 848, 510, 292, 275, 1445, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 2100, 68, 546, 330, 204, 268, 314, 778, 397, 275, 510, 353, 508, 273, 1445, 329, 1583, 508, 1012, 440, 275, 717, 588, 4016, 204, 268, 397, 508, 1127, 19, 546, 19, 16249, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 602, 329, 508, 510, 19, 7209, 13, 1957, 68, 417, 68, 4830, 14, 329, 510, 2167, 636, 68, 1976, 68, 5154, 68, 417, 1293, 204, 305, 314, 666, 275, 717, 510, 588, 560, 5209, 275, 4016, 311, 275, 2171, 510, 588, 204, 305, 717, 68, 553, 68, 417, 289, 717, 68, 417, 68, 4830, 465, 510, 204, 3123, 305, 810, 31, 204, 485, 314, 3289, 311, 15549, 275, 510, 204, 485, 1127, 19, 14925, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 659, 1127, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 717, 68, 553, 68, 417, 602, 204, 485, 314, 7415, 275, 510, 1040, 204, 485, 510, 68, 765, 1412, 368, 204, 485, 314, 3025, 273, 711, 2901, 348, 275, 510, 15549, 2661, 204, 485, 2106, 68, 761, 68, 4320, 13, 2100, 68, 546, 17, 711, 68, 553, 68, 417, 17, 510, 17, 717, 68, 553, 68, 417, 17, 510, 68, 765, 14, 204, 305, 827, 12368, 448, 318, 31, 204, 485, 314, 1426, 1169, 2744, 496, 1336, 1882, 275, 510, 15549, 2661, 204, 485, 456, 13, 75, 7, 596, 30811, 510, 463, 553, 2829, 463, 74, 743, 204, 615, 264, 314, 455, 275, 1113, 542, 302, 1860, 27959, 204, 264, 407, 510, 68, 765, 204, 204, 461, 2106, 68, 761, 68, 4320, 13, 2100, 68, 546, 31, 394, 17, 711, 68, 553, 68, 417, 31, 394, 17, 2171, 68, 553, 68, 417, 31, 394, 17, 717, 68, 553, 68, 417, 31, 394, 17, 510, 68, 765, 31, 421, 14, 393, 443, 31, 204, 264, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 320, 204, 264, 9716, 273, 711, 2901, 311, 275, 800, 711, 510, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 711, 510, 19, 204, 268, 711, 68, 553, 68, 417, 322, 325, 330, 334, 588, 302, 275, 711, 510, 311, 2281, 311, 19, 204, 268, 2171, 68, 553, 68, 417, 322, 325, 330, 334, 2171, 510, 588, 19, 204, 268, 717, 68, 553, 68, 417, 322, 325, 330, 334, 717, 510, 588, 19, 204, 268, 510, 68, 765, 322, 339, 330, 334, 542, 302, 1860, 27959, 754, 4935, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 3101, 832, 311, 275, 711, 510, 204, 264, 711, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 711, 68, 553, 68, 417, 14, 204, 615, 264, 314, 3594, 275, 711, 510, 292, 6283, 2291, 204, 264, 440, 1451, 13, 761, 68, 553, 68, 546, 17, 388, 70, 431, 448, 711, 68, 553, 31, 204, 268, 314, 3400, 275, 711, 2901, 311, 275, 510, 204, 268, 711, 68, 553, 19, 2206, 13, 75, 1954, 553, 68, 765, 2829, 16208, 4235, 6228, 68, 553, 68, 417, 2277, 89, 8288, 2576, 15869, 89, 1047, 4235, 1957, 68, 553, 68, 417, 2277, 83, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1445, 832, 302, 275, 790, 3467, 204, 264, 3467, 68, 2100, 68, 546, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 13, 4807, 19, 4983, 64, 21, 4513, 204, 615, 264, 314, 666, 273, 4521, 348, 275, 711, 510, 588, 204, 264, 711, 68, 553, 68, 417, 289, 283, 7, 3044, 19324, 1859, 1510, 68, 5192, 374, 3572, 3039, 7, 204, 615, 264, 314, 1198, 273, 943, 311, 8956, 275, 1012, 302, 275, 510, 15549, 2661, 204, 264, 456, 499, 13858, 8450, 12386, 23465, 27442, 41546, 431, 204, 615, 264, 314, 778, 397, 273, 717, 588, 4016, 867, 1917, 448, 273, 1354, 18, 1054, 4601, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 1323, 368, 31, 204, 268, 314, 1974, 275, 1917, 717, 588, 4016, 204, 268, 717, 68, 417, 68, 4830, 289, 2454, 19, 4983, 64, 22, 66, 204, 264, 902, 31, 204, 268, 314, 1974, 273, 1540, 717, 588, 4016, 397, 11077, 867, 1917, 204, 268, 717, 68, 417, 68, 4830, 289, 41341, 204, 615, 264, 314, 12596, 275, 1860, 292, 275, 1445, 204, 264, 510, 68, 765, 289, 15549, 68, 2375, 13, 5154, 68, 2100, 68, 546, 17, 717, 68, 417, 68, 4830, 17, 711, 68, 553, 68, 417, 14, 204, 615, 264, 314, 1198, 273, 943, 311, 8956, 275, 1136, 302, 275, 510, 15549, 2661, 204, 264, 456, 499, 8288, 2576, 6627, 14047, 12386, 23465, 28267, 27442, 5397, 204, 615, 264, 314, 778, 397, 1169, 1860, 1466, 27959, 204, 264, 397, 510, 68, 765, 564, 500, 31, 204, 268, 314, 1198, 273, 943, 397, 1236, 1860, 1466, 27959, 204, 268, 456, 3273, 83, 3882, 1860, 7716, 431, 204, 264, 902, 31, 204, 268, 314, 1198, 273, 943, 440, 275, 1113, 542, 302, 1860, 27959, 204, 268, 456, 13, 75, 7979, 83, 6425, 463, 553, 68, 765, 98, 1860, 7716, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 838, 68, 574, 68, 531, 68, 655, 13, 481, 31, 458, 14, 393, 758, 31, 204, 264, 320, 204, 264, 2605, 273, 758, 497, 273, 458, 302, 1842, 17, 7057, 9991, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 655, 330, 332, 458, 302, 1842, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 332, 758, 302, 2220, 1842, 19, 204, 264, 320, 204, 264, 314, 2208, 275, 458, 311, 273, 758, 311, 3142, 9991, 204, 264, 407, 758, 13, 481, 14, 204, 204, 204, 461, 10807, 68, 3604, 13, 574, 22, 31, 758, 17, 758, 23, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 264, 43249, 970, 3416, 1025, 273, 2875, 758, 19, 204, 204, 264, 457, 31, 204, 268, 758, 22, 322, 574, 330, 334, 1043, 758, 19, 204, 268, 758, 23, 322, 574, 330, 334, 1350, 758, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 8651, 302, 275, 970, 3416, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 8651, 1216, 311, 10807, 275, 3416, 204, 264, 407, 758, 22, 19, 15565, 13, 574, 23, 14, 204, 204, 204, 461, 881, 68, 1849, 68, 633, 68, 574, 13, 1849, 31, 421, 17, 537, 68, 574, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 264, 5276, 437, 1103, 311, 273, 758, 19, 204, 204, 264, 457, 31, 204, 268, 1103, 322, 339, 330, 334, 1103, 311, 881, 19, 204, 268, 537, 68, 574, 322, 574, 330, 334, 758, 311, 881, 275, 1103, 311, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 2908, 758, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4028, 302, 275, 537, 758, 311, 4516, 11227, 275, 2171, 204, 264, 2908, 68, 574, 289, 537, 68, 574, 19, 3462, 374, 204, 264, 314, 1255, 275, 1103, 311, 275, 2908, 758, 204, 264, 2908, 68, 574, 19, 826, 13, 1849, 14, 204, 264, 407, 2908, 68, 574, 204, 204, 204, 461, 5400, 68, 574, 13, 574, 22, 31, 758, 17, 758, 23, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 264, 34524, 1051, 758, 497, 3161, 19, 204, 204, 264, 457, 31, 204, 268, 758, 22, 322, 574, 330, 334, 1043, 758, 19, 204, 268, 758, 23, 322, 574, 330, 334, 1350, 758, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 2712, 1283, 275, 970, 3416, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 2712, 1216, 311, 5400, 275, 3416, 204, 264, 407, 758, 22, 19, 7728, 13, 574, 23, 14, 204, 204, 204, 461, 10351, 68, 3604, 13, 574, 22, 31, 758, 17, 758, 23, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 6746, 275, 6907, 302, 970, 3416, 19, 204, 204, 264, 457, 31, 204, 268, 758, 22, 322, 574, 330, 334, 1043, 758, 19, 204, 268, 758, 23, 322, 574, 330, 334, 1350, 758, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 6907, 302, 275, 970, 3416, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 6907, 1216, 311, 1020, 275, 2323, 1842, 204, 264, 407, 758, 22, 19, 15158, 13, 574, 23, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 3416, 204, 264, 2220, 68, 481, 289, 838, 68, 574, 68, 531, 68, 655, 1568, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 720, 694, 204, 264, 456, 499, 20771, 424, 2180, 2220, 68, 481, 14, 204, 204, 264, 1392, 68, 574, 289, 758, 34136, 204, 264, 456, 499, 17230, 758, 2180, 1392, 68, 574, 17, 1187, 13, 4868, 68, 574, 602, 204, 264, 456, 499, 8368, 700, 302, 1392, 758, 2180, 1109, 13, 4868, 68, 574, 602, 204, 204, 264, 758, 22, 289, 463, 22, 17, 435, 17, 571, 17, 681, 17, 720, 98, 204, 264, 758, 23, 289, 463, 27, 17, 1168, 17, 1132, 17, 1233, 17, 931, 98, 204, 204, 264, 314, 9587, 3416, 204, 264, 6571, 68, 574, 289, 10807, 68, 3604, 13, 574, 22, 17, 758, 23, 14, 204, 264, 456, 499, 40262, 758, 2180, 6571, 68, 574, 14, 204, 264, 456, 499, 36765, 2755, 348, 6571, 758, 2180, 7892, 13, 16854, 68, 574, 602, 204, 204, 264, 314, 1255, 1103, 311, 758, 204, 264, 2908, 68, 574, 289, 881, 68, 1849, 68, 633, 68, 574, 13, 1641, 17, 6571, 68, 574, 14, 204, 264, 456, 499, 10510, 758, 1877, 5209, 1103, 2180, 2908, 68, 574, 14, 204, 204, 264, 314, 10121, 3416, 204, 264, 2712, 289, 5400, 68, 574, 13, 8107, 68, 574, 17, 758, 22, 14, 204, 264, 456, 499, 24887, 1283, 2908, 758, 329, 758, 22, 2180, 2712, 14, 204, 204, 264, 314, 5181, 6483, 3416, 204, 264, 6907, 289, 10351, 68, 3604, 13, 574, 22, 17, 2712, 14, 204, 264, 456, 499, 34870, 302, 758, 22, 329, 2712, 2180, 6907, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 47946, 12907, 1398, 4796, 31135, 2183, 5452, 13444, 16032, 8709, 34659, 2704, 408, 1254, 8181, 8376, 9308, 2065, 30231, 568, 204, 5182, 15313, 831, 3716, 22798, 408, 23294, 22047, 13261, 34797, 408, 12094, 26106, 15032, 11755, 408, 2526, 5843, 34527, 725, 5381, 1572, 37136, 725, 6791, 7407, 3380, 22302, 8297, 725, 38187, 8270, 4127, 725, 5381, 3977, 3716, 7536, 14617, 6577, 22424, 921, 5182, 5335, 5579, 568, 8333, 1984, 5182, 14843, 11787, 942, 27, 3145, 3004, 39026, 3064, 27988, 725, 26764, 1524, 32213, 7080, 42876, 15860, 6390, 22047, 13261, 1984, 12094, 1984, 5182, 11787, 942, 2682, 9396, 4330, 3004, 39026, 12094, 22047, 408, 8830, 1284, 5241, 25552, 34797, 408, 33748, 17179, 30067, 309, 668, 725, 44955, 10451, 725, 46523, 8356, 4901, 9980, 725, 7764, 3419, 2729, 12094, 12175, 1955, 22330, 22047, 568, 14151, 19959, 1984, 24812, 14843, 11787, 942, 4838, 26, 38230, 14151, 13507, 6299, 7342, 6841, 29475, 19959, 8333, 1984, 5182, 14843, 11787, 942, 27988, 725, 26764, 1955, 6390, 22047, 13261, 12094, 1984, 5182, 942, 2682, 9396, 4330, 3004, 39026, 12094, 22047, 408, 8830, 1284, 5241, 25552, 34797, 408, 33748, 37136, 725, 15860, 28957, 12094, 11095, 2299, 725, 14151, 3419, 2729, 12094, 12175, 568, 19959, 1984, 24812, 14843, 11787, 942, 4838, 6245, 4330, 48426, 19959, 568, 0, 647, 4378, 19, 5380, 448, 1513, 204, 531, 318, 3912, 532, 13186, 45, 453, 72, 989, 17, 13186, 42, 3912, 17, 15065, 45, 453, 72, 989, 17, 15065, 42, 3912, 17, 954, 68, 1474, 204, 531, 3737, 532, 3737, 226, 314, 6652, 3737, 353, 273, 2413, 440, 3454, 204, 204, 461, 1137, 68, 3909, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 15065, 45, 453, 72, 989, 31, 204, 264, 320, 204, 264, 1385, 2413, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 15065, 45, 453, 72, 989, 31, 9387, 2413, 424, 19, 204, 264, 320, 204, 264, 407, 15065, 45, 453, 72, 989, 13, 553, 68, 546, 14, 204, 204, 461, 1137, 68, 4039, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 13186, 45, 453, 72, 989, 31, 204, 264, 320, 204, 264, 1385, 2092, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 13186, 45, 453, 72, 989, 31, 9387, 2092, 424, 19, 204, 264, 320, 204, 264, 407, 13186, 45, 453, 72, 989, 13, 553, 68, 546, 14, 204, 204, 461, 949, 68, 3909, 68, 979, 82, 13, 481, 68, 3909, 31, 15065, 45, 453, 72, 989, 17, 3737, 14, 393, 927, 64, 3732, 42, 3912, 17, 458, 744, 204, 264, 320, 204, 264, 888, 275, 471, 7206, 348, 275, 2413, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 3909, 322, 3732, 45, 453, 72, 989, 330, 9387, 2413, 424, 19, 204, 268, 3737, 31, 4435, 348, 275, 471, 7206, 4183, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 3732, 42, 3912, 17, 458, 744, 39591, 471, 7206, 329, 6264, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 15065, 42, 3912, 1014, 204, 264, 318, 3912, 68, 3909, 289, 15065, 42, 3912, 13, 481, 68, 3909, 17, 3737, 14, 204, 615, 264, 314, 888, 275, 1259, 302, 6979, 204, 264, 15757, 68, 3909, 289, 318, 3912, 68, 3909, 19, 39520, 374, 204, 615, 264, 314, 888, 275, 1451, 6783, 6264, 329, 904, 2072, 204, 264, 1256, 91, 68, 3909, 17, 6915, 6915, 376, 15427, 68, 3909, 17, 1264, 15427, 68, 3909, 289, 318, 3912, 68, 3909, 19, 912, 91, 13, 39520, 68, 3909, 17, 33165, 34, 1021, 14, 204, 615, 264, 314, 888, 275, 5825, 4185, 5692, 204, 264, 30680, 6340, 68, 3909, 289, 318, 3912, 68, 3909, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 12470, 68, 2714, 68, 26657, 13, 979, 82, 68, 3909, 19, 4266, 68, 7734, 72, 17, 720, 14, 204, 615, 264, 314, 888, 275, 468, 294, 2854, 204, 264, 468, 294, 2854, 68, 3909, 289, 318, 3912, 68, 3909, 19, 87, 294, 2854, 68, 7734, 72, 13, 35109, 68, 3909, 14, 204, 615, 264, 314, 888, 275, 6264, 204, 264, 48848, 68, 3909, 289, 318, 3912, 68, 3909, 19, 34332, 13, 39520, 68, 3909, 17, 1256, 91, 68, 3909, 17, 468, 294, 2854, 68, 3909, 14, 204, 615, 264, 407, 318, 3912, 68, 3909, 17, 48848, 68, 3909, 204, 204, 461, 949, 68, 4039, 68, 979, 82, 13, 481, 68, 4039, 31, 13186, 45, 453, 72, 989, 17, 424, 68, 3909, 31, 15065, 45, 453, 72, 989, 17, 3737, 14, 393, 927, 64, 13446, 42, 3912, 17, 458, 744, 204, 264, 320, 204, 264, 888, 275, 471, 7206, 348, 275, 2092, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 4039, 322, 13446, 45, 453, 72, 989, 330, 9387, 2092, 424, 19, 204, 268, 424, 68, 3909, 322, 3732, 45, 453, 72, 989, 330, 9387, 2413, 424, 19, 204, 268, 3737, 31, 4435, 348, 275, 471, 7206, 4183, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 13446, 42, 3912, 17, 458, 744, 39591, 471, 7206, 329, 6264, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 13186, 42, 3912, 1014, 204, 264, 318, 3912, 68, 4039, 289, 13186, 42, 3912, 13, 481, 68, 4039, 17, 3737, 14, 204, 615, 264, 314, 1359, 275, 790, 17, 690, 17, 329, 3259, 68, 4039, 204, 264, 318, 3912, 68, 4039, 19, 1976, 289, 424, 68, 3909, 19, 1976, 802, 435, 204, 264, 318, 3912, 68, 4039, 19, 834, 289, 424, 68, 3909, 19, 834, 204, 264, 318, 3912, 68, 4039, 19, 86, 68, 4039, 289, 3737, 19, 86, 68, 3909, 802, 435, 204, 615, 264, 314, 888, 275, 1259, 302, 6979, 204, 264, 15757, 68, 4039, 289, 318, 3912, 68, 4039, 19, 39520, 374, 204, 615, 264, 314, 888, 275, 1451, 6783, 6264, 204, 264, 318, 3912, 68, 3909, 17, 906, 289, 949, 68, 3909, 68, 979, 82, 13, 481, 68, 3909, 17, 3737, 14, 204, 264, 1256, 91, 68, 4039, 289, 318, 3912, 68, 4039, 19, 912, 91, 13, 39520, 68, 4039, 17, 376, 95, 68, 15427, 3644, 979, 82, 68, 3909, 19, 91, 15427, 17, 318, 3912, 68, 3909, 19, 95, 15427, 602, 204, 615, 264, 314, 888, 275, 6264, 204, 264, 48848, 68, 4039, 289, 318, 3912, 68, 4039, 19, 34332, 13, 39520, 68, 4039, 17, 1256, 91, 68, 4039, 17, 318, 3912, 68, 3909, 19, 87, 294, 2854, 68, 7734, 72, 13, 979, 82, 68, 3909, 19, 12470, 68, 2714, 68, 26657, 13, 979, 82, 68, 3909, 19, 4266, 68, 7734, 72, 17, 720, 3694, 204, 615, 264, 407, 318, 3912, 68, 4039, 17, 48848, 68, 4039, 204, 204, 461, 1807, 68, 2826, 13, 979, 82, 68, 3909, 31, 15065, 42, 3912, 17, 48848, 68, 3909, 31, 458, 17, 318, 3912, 68, 4039, 31, 13186, 42, 3912, 17, 48848, 68, 4039, 31, 458, 17, 424, 68, 3909, 31, 15065, 45, 453, 72, 989, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 318, 3912, 68, 3909, 322, 3732, 42, 3912, 330, 39591, 2413, 471, 7206, 19, 204, 268, 48848, 68, 3909, 322, 655, 330, 39591, 2413, 6264, 19, 204, 268, 318, 3912, 68, 4039, 322, 13446, 42, 3912, 330, 39591, 2092, 471, 7206, 19, 204, 268, 48848, 68, 4039, 322, 655, 330, 39591, 2092, 6264, 19, 204, 268, 424, 68, 3909, 322, 3732, 45, 453, 72, 989, 330, 9387, 2413, 424, 19, 204, 264, 320, 204, 264, 314, 3045, 275, 1259, 302, 6979, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 834, 17, 318, 3912, 68, 3909, 19, 39520, 2144, 379, 82, 491, 1800, 833, 3909, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 4039, 19, 834, 17, 318, 3912, 68, 4039, 19, 39520, 2144, 379, 80, 582, 491, 1800, 833, 4039, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 5059, 302, 6979, 8308, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 1451, 6783, 6264, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 39520, 2144, 318, 3912, 68, 3909, 19, 912, 91, 13, 979, 82, 68, 3909, 19, 39520, 2144, 33165, 34, 1021, 5604, 21, 648, 379, 40, 22, 491, 1800, 833, 3909, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 95, 15427, 17, 318, 3912, 68, 3909, 19, 91, 15427, 17, 379, 40, 22, 84, 491, 1800, 833, 3909, 33165, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 5059, 302, 6979, 8308, 19160, 379, 10936, 6783, 6264, 551, 59, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 6264, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 834, 17, 48848, 68, 3909, 17, 379, 40, 24, 491, 1800, 833, 3909, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 4039, 19, 834, 17, 48848, 68, 4039, 17, 379, 80, 582, 491, 1800, 833, 4039, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 45942, 551, 59, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 6264, 7448, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 481, 68, 3909, 19, 834, 17, 424, 68, 3909, 19, 18143, 17, 379, 40, 24, 491, 1800, 833, 3909, 424, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 4039, 19, 834, 17, 48848, 68, 4039, 17, 379, 80, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 582, 491, 1800, 833, 4039, 318, 3912, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 45942, 551, 59, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 4923, 6264, 2712, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 481, 68, 3909, 19, 834, 17, 7041, 13, 481, 68, 3909, 19, 18143, 338, 48848, 68, 4039, 602, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 34121, 6264, 2712, 551, 59, 66, 3063, 204, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 968, 275, 510, 3630, 204, 264, 510, 68, 3909, 289, 14336, 481, 20, 3909, 22, 18, 13486, 2441, 18, 4452, 3901, 18, 3787, 18645, 19, 2039, 12, 204, 264, 510, 68, 4039, 289, 14336, 481, 20, 4039, 18, 737, 18, 1976, 18, 77, 453, 72, 18, 1511, 72, 18, 23, 19, 2039, 12, 204, 204, 264, 314, 1385, 275, 424, 204, 264, 424, 68, 3909, 289, 1137, 68, 3909, 68, 481, 13, 553, 68, 3909, 14, 204, 264, 424, 68, 4039, 289, 1137, 68, 4039, 68, 481, 13, 553, 68, 4039, 14, 204, 204, 264, 314, 888, 275, 471, 7206, 204, 264, 318, 3912, 68, 3909, 17, 48848, 68, 3909, 289, 949, 68, 3909, 68, 979, 82, 13, 481, 68, 3909, 17, 3737, 14, 204, 264, 318, 3912, 68, 4039, 17, 48848, 68, 4039, 289, 949, 68, 4039, 68, 979, 82, 13, 481, 68, 4039, 17, 424, 68, 3909, 17, 3737, 14, 204, 204, 264, 314, 3045, 275, 1563, 204, 264, 1807, 68, 2826, 13, 979, 82, 68, 3909, 17, 48848, 68, 3909, 17, 318, 3912, 68, 4039, 17, 48848, 68, 4039, 17, 424, 68, 3909, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 18552, 1460, 19, 41823, 532, 23689, 204, 647, 690, 204, 204, 8, 968, 3454, 348, 2254, 3003, 204, 676, 10617, 2191, 31, 204, 264, 320, 7554, 348, 2254, 3003, 1279, 204, 264, 8018, 10708, 289, 13326, 204, 264, 501, 4629, 2740, 289, 1607, 204, 264, 48874, 10226, 289, 3139, 204, 264, 501, 4629, 2740, 68, 53, 2313, 42, 289, 1199, 204, 264, 332, 9481, 289, 500, 204, 264, 9080, 1452, 289, 42759, 204, 204, 676, 9354, 31, 204, 264, 320, 204, 264, 2646, 273, 4554, 292, 275, 23689, 2688, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 4554, 19, 204, 268, 610, 68, 1932, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 4554, 19, 204, 268, 469, 68, 1932, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 4554, 19, 204, 268, 1264, 68, 1932, 322, 339, 330, 334, 1264, 18, 3936, 302, 275, 4554, 19, 204, 268, 1277, 322, 339, 330, 334, 1277, 302, 275, 4554, 19, 204, 268, 2198, 322, 339, 330, 334, 2198, 302, 275, 4554, 19, 204, 268, 1853, 322, 339, 330, 334, 1853, 302, 275, 4554, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 610, 68, 1932, 31, 421, 17, 469, 68, 1932, 31, 421, 17, 1264, 68, 1932, 31, 421, 17, 1277, 31, 421, 17, 2198, 31, 421, 17, 1853, 31, 421, 330, 204, 268, 320, 204, 268, 977, 273, 9354, 726, 19, 204, 204, 268, 1164, 2394, 588, 31, 334, 588, 302, 275, 4554, 204, 268, 1164, 2394, 610, 68, 1932, 31, 334, 610, 18, 3936, 302, 275, 4554, 204, 268, 1164, 2394, 469, 68, 1932, 31, 334, 469, 18, 3936, 302, 275, 4554, 204, 268, 1164, 2394, 1264, 68, 1932, 31, 334, 1264, 18, 3936, 302, 275, 4554, 204, 268, 1164, 2394, 1277, 31, 334, 1277, 302, 275, 4554, 204, 268, 1164, 2394, 2198, 31, 334, 2198, 302, 275, 4554, 204, 268, 1164, 2394, 1853, 31, 334, 1853, 302, 275, 4554, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 93, 68, 1932, 289, 610, 68, 1932, 204, 268, 370, 19, 94, 68, 1932, 289, 469, 68, 1932, 204, 268, 370, 19, 95, 68, 1932, 289, 1264, 68, 1932, 204, 268, 370, 19, 1205, 289, 1277, 204, 268, 370, 19, 2435, 289, 2198, 204, 268, 370, 19, 2757, 289, 1853, 204, 268, 456, 13, 75, 7, 46, 1120, 2270, 273, 4554, 6860, 463, 327, 19, 417, 743, 204, 204, 264, 436, 2270, 68, 10911, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 12540, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 12540, 302, 275, 4554, 204, 268, 348, 469, 292, 933, 13, 327, 19, 2757, 330, 204, 305, 397, 469, 1564, 435, 564, 368, 31, 204, 485, 2254, 68, 932, 289, 10617, 2191, 19, 1185, 10708, 204, 305, 902, 31, 204, 485, 2254, 68, 932, 289, 10617, 2191, 19, 44, 4629, 2740, 204, 305, 348, 610, 292, 933, 13, 327, 19, 1205, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 17, 2254, 68, 932, 14, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 465, 370, 19, 2435, 338, 368, 17, 2254, 68, 932, 14, 204, 305, 348, 610, 292, 933, 13, 327, 19, 2435, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 465, 610, 17, 2254, 68, 932, 14, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 465, 610, 17, 2254, 68, 932, 14, 204, 204, 264, 436, 2270, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 11062, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 8224, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 8224, 302, 275, 4554, 204, 268, 348, 610, 292, 933, 13, 327, 19, 1205, 330, 204, 305, 348, 1264, 292, 933, 13, 327, 19, 2435, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 17, 370, 19, 95, 68, 1932, 465, 1264, 17, 10617, 2191, 19, 25169, 10226, 14, 204, 204, 264, 436, 2270, 68, 295, 522, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 15526, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 15526, 302, 275, 4554, 204, 268, 348, 610, 292, 933, 13, 327, 19, 1205, 330, 204, 305, 348, 1264, 292, 933, 13, 327, 19, 2435, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 465, 370, 19, 2757, 17, 370, 19, 95, 68, 1932, 465, 1264, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 204, 264, 436, 2270, 68, 15418, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 11304, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 11304, 302, 275, 4554, 204, 268, 397, 370, 19, 1205, 1564, 435, 564, 368, 31, 204, 305, 11304, 68, 93, 289, 322, 327, 19, 1205, 338, 368, 14, 3166, 435, 204, 268, 902, 31, 204, 305, 11304, 68, 93, 289, 370, 19, 1205, 3166, 435, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 17, 370, 19, 94, 68, 1932, 465, 435, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 41442, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 17, 370, 19, 94, 68, 1932, 465, 368, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 4701, 1452, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 435, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 41442, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 368, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 4701, 1452, 14, 204, 204, 264, 436, 2270, 68, 2997, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 2158, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 2158, 302, 275, 4554, 204, 268, 397, 370, 19, 2435, 1564, 435, 564, 368, 31, 204, 305, 2158, 68, 95, 289, 322, 327, 19, 2435, 338, 368, 14, 3166, 435, 204, 268, 902, 31, 204, 305, 2158, 68, 95, 289, 370, 19, 2435, 3166, 435, 204, 268, 397, 370, 19, 2757, 1564, 435, 564, 368, 31, 204, 305, 2158, 68, 94, 289, 322, 327, 19, 2757, 338, 368, 14, 3166, 435, 204, 268, 902, 31, 204, 305, 2158, 68, 94, 289, 370, 19, 2757, 3166, 435, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 338, 368, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 338, 368, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 338, 368, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 338, 368, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 204, 264, 436, 353, 68, 266, 68, 5164, 13, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 1264, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 2061, 353, 6204, 275, 4554, 19, 204, 204, 268, 1164, 2394, 610, 31, 334, 610, 18, 3936, 302, 275, 2061, 204, 268, 1164, 2394, 469, 31, 334, 469, 18, 3936, 302, 275, 2061, 204, 268, 1164, 2394, 1264, 31, 334, 1264, 18, 3936, 302, 275, 2061, 204, 268, 1164, 3309, 31, 959, 397, 275, 2061, 353, 6204, 275, 4554, 17, 1078, 2130, 204, 268, 320, 204, 268, 407, 322, 327, 19, 93, 68, 1932, 962, 610, 962, 370, 19, 93, 68, 1932, 465, 370, 19, 1205, 329, 204, 485, 370, 19, 95, 68, 1932, 962, 1264, 962, 370, 19, 95, 68, 1932, 465, 370, 19, 2435, 329, 204, 485, 370, 19, 94, 68, 1932, 962, 469, 962, 370, 19, 94, 68, 1932, 465, 370, 19, 2757, 14, 204, 204, 461, 2270, 68, 7055, 13, 12880, 31, 23689, 17, 4554, 31, 9354, 330, 204, 264, 320, 204, 264, 4908, 273, 4554, 19, 204, 204, 264, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 264, 1164, 2394, 4554, 31, 334, 9354, 726, 204, 264, 320, 204, 264, 4554, 19, 3751, 68, 10911, 13, 12880, 14, 204, 264, 4554, 19, 3751, 68, 11062, 13, 12880, 14, 204, 264, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4554, 19, 3751, 68, 295, 522, 13, 12880, 14, 204, 264, 4554, 19, 3751, 68, 15418, 13, 12880, 14, 204, 264, 4554, 19, 3751, 68, 2997, 13, 12880, 14, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 23689, 726, 204, 264, 18552, 289, 23689, 19, 1510, 374, 204, 615, 264, 314, 763, 275, 2061, 677, 1502, 204, 264, 1050, 289, 18552, 19, 3280, 19, 505, 26385, 11805, 374, 204, 264, 456, 499, 8067, 1502, 2180, 1050, 14, 204, 204, 264, 314, 666, 11522, 204, 264, 11522, 289, 551, 204, 268, 9354, 499, 93, 90, 373, 13681, 691, 90, 1678, 528, 1050, 19, 93, 17, 1050, 19, 94, 17, 1050, 19, 95, 17, 2468, 17, 2468, 17, 1598, 659, 204, 268, 9354, 499, 365, 469, 347, 16001, 528, 1050, 19, 93, 465, 3382, 17, 1050, 19, 94, 17, 1050, 19, 95, 17, 1199, 17, 1168, 17, 5436, 14, 204, 264, 2437, 204, 204, 264, 314, 4908, 11522, 204, 264, 348, 4554, 292, 11522, 31, 204, 268, 2270, 68, 7055, 13, 12880, 17, 4554, 14, 204, 204, 264, 314, 778, 397, 275, 2061, 353, 292, 273, 4554, 204, 264, 1335, 959, 31, 204, 268, 690, 19, 4867, 13, 21, 19, 26, 14, 204, 268, 1050, 289, 18552, 19, 3280, 19, 505, 26385, 11805, 374, 204, 268, 348, 4554, 292, 11522, 31, 204, 305, 397, 4554, 19, 360, 68, 266, 68, 5164, 13, 1075, 19, 93, 17, 1050, 19, 94, 17, 1050, 19, 95, 330, 204, 485, 456, 13, 75, 7, 15352, 311, 463, 7055, 19, 417, 98, 2941, 431, 204, 485, 18552, 19, 2288, 1449, 17057, 13, 75, 7, 15352, 311, 463, 7055, 19, 417, 98, 2941, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 27294, 15717, 46178, 29718, 387, 7691, 16010, 26109, 2504, 15879, 19, 204, 24326, 341, 794, 30576, 17, 44923, 311, 275, 3714, 438, 302, 17412, 560, 1017, 24882, 17, 329, 275, 4382, 19643, 302, 31483, 348, 7534, 19, 204, 673, 22219, 19, 12247, 28326, 71, 619, 17, 4695, 292, 368, 44, 6074, 17, 15, 5366, 1250, 1466, 388, 406, 1268, 4225, 447, 12287, 523, 348, 1429, 690, 17, 1101, 630, 1277, 17, 5976, 302, 8374, 685, 14389, 302, 11925, 348, 275, 3477, 677, 732, 17, 1422, 867, 15672, 18, 3223, 336, 685, 9430, 1101, 1666, 1178, 329, 3938, 40441, 3343, 11815, 1465, 808, 690, 26755, 3846, 1375, 867, 4695, 1704, 4382, 12301, 292, 928, 566, 5814, 552, 2128, 4733, 88, 4627, 1164, 204, 38, 1253, 2104, 2075, 841, 1331, 770, 11426, 204, 673, 1064, 1415, 479, 632, 793, 440, 10546, 11925, 6, 204, 70, 15621, 928, 869, 1742, 23167, 447, 9029, 292, 275, 1322, 302, 4440, 1910, 4719, 11925, 18, 19458, 19, 204, 8395, 275, 20577, 302, 808, 1043, 2707, 388, 48704, 388, 329, 388, 1193, 868, 388, 630, 41469, 83, 17, 5994, 348, 275, 26851, 302, 11925, 1466, 35899, 292, 904, 3576, 302, 2991, 10676, 17, 329, 1675, 331, 18, 1947, 6160, 6813, 1025, 2991, 6751, 17, 2991, 26436, 17, 22711, 17, 329, 28418, 19, 11982, 275, 388, 9464, 6482, 388, 322, 2314, 4656, 14, 1422, 1466, 273, 542, 302, 17626, 33534, 292, 2661, 630, 928, 388, 35662, 17, 36136, 17, 329, 25136, 388, 1466, 2927, 292, 4382, 4474, 17, 329, 1910, 302, 1605, 11925, 18, 19458, 17626, 5311, 3557, 17627, 311, 275, 46129, 13508, 1882, 275, 17451, 19, 204, 3837, 353, 273, 7597, 302, 25909, 35755, 496, 1236, 26275, 302, 275, 4744, 11925, 18, 19458, 35899, 292, 808, 3477, 874, 1742, 22694, 16125, 329, 572, 529, 8405, 378, 87, 31792, 311, 798, 2077, 8660, 302, 1017, 378, 18, 394, 12284, 497, 1702, 479, 1463, 24671, 15300, 448, 529, 800, 560, 18967, 302, 275, 690, 17, 6571, 440, 32124, 302, 17626, 33534, 329, 6332, 348, 275, 26851, 302, 11925, 3556, 311, 874, 1742, 1376, 630, 521, 4789, 275, 1729, 3155, 292, 6017, 19, 334, 11925, 18, 19458, 630, 41469, 83, 5111, 311, 874, 49063, 273, 388, 26810, 18, 75, 343, 7011, 5167, 273, 388, 1193, 569, 5167, 329, 273, 348, 340, 19, 334, 1351, 302, 275, 48704, 867, 292, 1085, 2927, 1025, 388, 754, 572, 11925, 5167, 329, 275, 6576, 1376, 292, 388, 469, 318, 1193, 868, 5167, 348, 275, 1064, 90, 18, 3718, 562, 302, 29668, 306, 879, 329, 904, 9935, 880, 19, 592, 388, 94, 318, 348, 340, 5167, 275, 297, 441, 11925, 283, 867, 6004, 1025, 388, 830, 19318, 302, 4184, 87, 11925, 3343, 334, 26810, 18, 75, 343, 33534, 292, 732, 292, 12352, 630, 496, 690, 1466, 497, 16504, 311, 16504, 18, 18338, 5301, 2223, 17, 329, 2080, 710, 88, 2734, 17, 329, 43302, 630, 4569, 8889, 348, 275, 8784, 302, 265, 9559, 685, 275, 279, 3677, 19, 592, 275, 25015, 18, 22654, 787, 3957, 3616, 348, 368, 44, 28, 44, 17, 15797, 40016, 280, 17, 15734, 275, 22021, 18, 12376, 482, 1675, 292, 2661, 292, 275, 16883, 302, 45238, 17, 292, 28710, 12861, 13347, 42938, 17, 10676, 17, 5366, 1164, 388, 334, 26810, 18, 75, 343, 33534, 529, 1465, 16504, 18, 13579, 5301, 2415, 523, 275, 7066, 17, 10501, 23460, 5301, 2223, 17, 329, 10549, 521, 7496, 5301, 6592, 630, 275, 710, 88, 2734, 19, 3300, 34427, 275, 48704, 529, 8210, 970, 12479, 3868, 302, 3521, 41453, 17, 6738, 1236, 890, 7116, 630, 273, 5680, 13695, 4789, 275, 5533, 19, 204, 18, 334, 20324, 5140, 302, 2991, 10676, 17, 41963, 59, 19, 204, 75, 388, 387, 441, 74, 11925, 388, 867, 437, 42622, 756, 3284, 302, 9935, 11925, 17, 47542, 299, 630, 848, 1136, 17, 329, 5701, 273, 14234, 4393, 18, 3769, 32, 490, 867, 3667, 16504, 5301, 292, 1277, 17, 329, 44784, 497, 23389, 311, 32008, 7584, 9513, 19, 1547, 867, 2927, 560, 4436, 275, 10142, 11925, 497, 275, 48704, 1025, 273, 265, 7865, 292, 10870, 17, 1273, 490, 9943, 1287, 19, 0, 44, 4697, 299, 353, 437, 3287, 1085, 302, 13492, 6318, 24518, 7595, 630, 1017, 2765, 329, 523, 18144, 7870, 275, 10865, 872, 7188, 6186, 311, 874, 311, 770, 1429, 357, 4697, 299, 19, 204, 44, 4697, 299, 5628, 2327, 11845, 31, 6468, 23814, 17, 8227, 17692, 329, 2842, 4303, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8926, 357, 4697, 299, 14956, 19, 204, 673, 6468, 23814, 1352, 3210, 496, 872, 7188, 6432, 273, 4968, 496, 4230, 874, 41245, 273, 5680, 4577, 2482, 521, 4342, 1997, 521, 685, 302, 2665, 329, 24880, 15454, 490, 1818, 292, 1702, 273, 2501, 496, 490, 30155, 808, 18917, 2665, 329, 798, 19, 204, 7002, 6468, 23814, 2842, 5628, 6186, 292, 630, 275, 3060, 13868, 302, 275, 4968, 496, 872, 3480, 311, 4581, 1818, 329, 2842, 24880, 4940, 9559, 685, 275, 14321, 2090, 808, 1629, 1422, 17, 11439, 5815, 497, 1605, 2731, 311, 5233, 292, 329, 798, 273, 18917, 16522, 4968, 19, 204, 19022, 2964, 444, 29374, 311, 6468, 366, 448, 872, 3020, 4185, 19, 204, 3837, 677, 508, 38787, 3662, 26252, 275, 4968, 17, 2842, 5814, 275, 4968, 8926, 2909, 4037, 19, 204, 3753, 364, 17692, 5628, 275, 6296, 302, 7057, 3299, 13632, 19, 204, 6350, 6415, 2909, 1017, 2765, 440, 275, 3299, 13632, 5748, 329, 1425, 14973, 42999, 17146, 299, 523, 3153, 496, 529, 35986, 6415, 19, 204, 5824, 36598, 6415, 2090, 42151, 354, 17, 275, 13204, 353, 508, 830, 496, 3094, 7595, 754, 490, 677, 2765, 2842, 311, 3074, 1605, 13632, 2258, 560, 2842, 4940, 9559, 1475, 685, 302, 275, 3466, 2090, 808, 1629, 3237, 17, 11439, 275, 36598, 311, 444, 275, 667, 18243, 917, 302, 275, 2037, 19, 204, 3753, 364, 17692, 5337, 2090, 6252, 32970, 88, 329, 19733, 27770, 13699, 350, 3418, 329, 19733, 4244, 9762, 70, 329, 2747, 15251, 3418, 17, 496, 5568, 302, 7936, 17, 5628, 6432, 275, 3299, 13632, 2090, 872, 3020, 1629, 3237, 329, 2528, 6186, 1873, 6468, 23814, 1475, 685, 17, 7057, 1475, 17, 16622, 719, 275, 4968, 329, 11439, 717, 308, 29538, 311, 4066, 275, 3299, 13632, 19, 204, 7002, 1425, 17, 490, 7894, 311, 3550, 1873, 9745, 19, 204, 38, 3060, 2323, 4614, 3250, 1363, 569, 35889, 8290, 292, 3299, 13204, 3576, 19, 204, 2551, 1422, 572, 874, 8227, 17692, 19, 204, 7002, 1675, 4303, 357, 4697, 299, 19, 204, 7472, 1372, 27770, 1120, 874, 17, 2528, 17, 3299, 8417, 496, 529, 2842, 508, 830, 496, 25444, 19, 204, 19243, 17140, 808, 4968, 292, 273, 6318, 11296, 17, 872, 1741, 3480, 311, 1307, 292, 329, 6327, 23493, 3142, 17, 3074, 1605, 8417, 2258, 17, 636, 14119, 302, 830, 302, 808, 3821, 329, 8337, 490, 13017, 872, 275, 690, 497, 8205, 490, 5287, 329, 2842, 24880, 5814, 273, 4968, 496, 4230, 874, 15575, 273, 5680, 4577, 508, 754, 3094, 7051, 3094, 7595, 19, 204, 52, 1004, 319, 18470, 6415, 2090, 808, 529, 1824, 630, 275, 11296, 3466, 508, 15431, 2404, 1250, 1741, 508, 2909, 3094, 17, 1101, 5602, 5872, 719, 1250, 7188, 27883, 7595, 6415, 19, 204, 2551, 2528, 17, 3074, 275, 690, 311, 6468, 366, 17, 4303, 357, 4697, 299, 329, 8227, 17692, 311, 3550, 1214, 6318, 36391, 7595, 3094, 17, 29010, 299, 2590, 329, 8926, 3094, 5926, 19, 0, 647, 2044, 23, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 41578, 532, 3469, 68, 2918, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 36833, 204, 204, 8, 4861, 204, 6433, 68, 23603, 68, 4082, 289, 388, 1312, 20, 8273, 28741, 68, 38, 4733, 8013, 68, 36142, 19, 5684, 7, 204, 8440, 68, 25433, 68, 4082, 289, 388, 935, 68, 2185, 19, 2039, 7, 204, 40, 22016, 68, 2956, 289, 322, 1719, 17, 6562, 14, 204, 204, 461, 1137, 68, 935, 68, 2185, 374, 393, 458, 31, 204, 264, 320, 204, 264, 5984, 752, 1769, 497, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 752, 1769, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 8440, 68, 25433, 68, 4082, 14, 448, 283, 31, 204, 305, 2238, 289, 551, 1054, 19, 1590, 374, 348, 1007, 292, 283, 66, 204, 268, 2238, 19, 3377, 13, 21, 14, 226, 314, 3182, 3494, 204, 268, 407, 2238, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 8440, 68, 25433, 68, 4082, 98, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 1137, 68, 481, 68, 2185, 374, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 5984, 275, 424, 329, 275, 3310, 1800, 497, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 424, 1769, 19, 204, 264, 320, 204, 264, 752, 68, 2185, 289, 1137, 68, 935, 68, 2185, 374, 204, 264, 4932, 68, 4339, 289, 551, 78, 348, 296, 292, 752, 68, 2185, 397, 296, 64, 23, 66, 292, 3134, 38380, 528, 388, 29881, 528, 388, 6919, 528, 388, 88, 364, 2292, 17868, 204, 264, 407, 645, 19, 643, 13, 10975, 68, 4339, 14, 204, 204, 461, 4522, 68, 15293, 464, 68, 21512, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 30964, 23733, 17869, 292, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 23733, 17869, 19, 204, 264, 320, 204, 264, 314, 977, 275, 3469, 10780, 329, 14888, 204, 264, 10780, 289, 36833, 19, 505, 68, 33184, 68, 1685, 68, 13635, 374, 204, 264, 14888, 289, 36833, 19, 1827, 68, 22235, 499, 1827, 68, 22235, 68, 6996, 68, 1685, 68, 21512, 19, 12465, 431, 204, 204, 264, 314, 9557, 6587, 292, 275, 752, 204, 264, 3193, 88, 289, 10780, 13, 935, 17, 500, 14, 204, 204, 264, 314, 977, 17869, 204, 264, 17869, 289, 443, 204, 204, 264, 314, 13818, 1924, 848, 3469, 329, 4522, 17869, 204, 264, 348, 322, 78, 17, 3193, 14, 292, 3209, 13, 41480, 330, 204, 268, 2665, 289, 14888, 13, 935, 17, 3193, 14, 204, 268, 2665, 289, 3469, 68, 2918, 19, 1827, 68, 633, 68, 1123, 13, 1827, 14, 204, 268, 17869, 289, 2665, 204, 204, 264, 407, 17869, 204, 204, 461, 5363, 68, 11272, 68, 16778, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 204, 264, 320, 204, 264, 12276, 275, 6922, 302, 11431, 302, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 6361, 28265, 19, 204, 264, 320, 204, 264, 314, 3963, 11431, 292, 275, 610, 329, 469, 7505, 204, 264, 357, 68, 93, 289, 2044, 23, 19, 56, 21129, 13, 935, 17, 2044, 23, 19, 8279, 68, 2562, 43, 17, 368, 17, 500, 17, 38874, 34, 24, 14, 204, 264, 357, 68, 94, 289, 2044, 23, 19, 56, 21129, 13, 935, 17, 2044, 23, 19, 8279, 68, 2562, 43, 17, 500, 17, 368, 17, 38874, 34, 24, 14, 204, 204, 264, 314, 3963, 275, 6922, 302, 11431, 204, 264, 357, 289, 645, 19, 2514, 13, 1123, 19, 6845, 13, 76, 68, 93, 14, 465, 645, 19, 6845, 13, 76, 68, 94, 602, 204, 204, 264, 407, 357, 204, 204, 461, 4522, 68, 5729, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 30964, 3885, 292, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 3885, 19, 204, 264, 320, 204, 264, 314, 9557, 3885, 974, 275, 33137, 3428, 10780, 204, 264, 3428, 289, 2044, 23, 19, 47597, 13, 935, 17, 1607, 17, 1607, 14, 204, 264, 407, 3428, 204, 204, 461, 5363, 68, 33993, 68, 17739, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 12276, 275, 552, 17282, 15945, 302, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 552, 17282, 19258, 19, 204, 264, 320, 204, 264, 314, 968, 275, 552, 17282, 15945, 2072, 204, 264, 4033, 8654, 289, 322, 2177, 17, 4236, 14, 204, 264, 2254, 8654, 289, 322, 1845, 17, 2247, 14, 204, 264, 2254, 27468, 285, 289, 322, 29, 17, 1132, 14, 204, 264, 2092, 8654, 289, 322, 29, 17, 1132, 14, 204, 264, 771, 39, 1679, 289, 1233, 204, 204, 264, 314, 977, 275, 552, 17282, 15945, 204, 264, 41872, 68, 17739, 289, 2044, 23, 19, 7966, 44, 28452, 13, 5450, 8654, 17, 2254, 8654, 17, 2254, 27468, 285, 17, 2092, 8654, 17, 771, 39, 1679, 14, 204, 204, 264, 314, 3963, 275, 552, 17282, 15945, 204, 264, 373, 289, 41872, 68, 17739, 19, 8560, 13, 935, 14, 204, 264, 407, 373, 204, 204, 461, 1137, 68, 416, 68, 7701, 68, 481, 374, 393, 927, 31, 204, 264, 320, 204, 264, 5984, 275, 424, 17, 678, 11434, 490, 17, 329, 17982, 490, 1025, 1737, 17, 3587, 17, 329, 683, 3416, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 8049, 424, 329, 1769, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 1540, 3469, 752, 204, 264, 1540, 68, 1685, 289, 2044, 23, 19, 10465, 13, 6433, 68, 23603, 68, 4082, 14, 204, 264, 1540, 68, 1685, 289, 1540, 68, 1685, 64, 40, 22016, 68, 2956, 64, 21, 744, 40, 22016, 68, 2956, 64, 22, 648, 346, 22016, 68, 2956, 64, 21, 744, 40, 22016, 68, 2956, 64, 22, 2629, 204, 204, 264, 314, 8192, 275, 1540, 3469, 752, 204, 264, 1540, 68, 1685, 68, 76, 289, 5363, 68, 11272, 68, 16778, 13, 2305, 68, 1685, 14, 204, 264, 1540, 68, 1685, 68, 5242, 289, 4522, 68, 5729, 13, 2305, 68, 1685, 14, 204, 264, 1540, 68, 1685, 68, 33993, 289, 5363, 68, 33993, 68, 17739, 13, 2305, 68, 1685, 14, 204, 264, 1540, 68, 15293, 464, 68, 3995, 289, 4522, 68, 15293, 464, 68, 21512, 13, 2305, 68, 1685, 14, 204, 204, 264, 314, 1385, 275, 424, 1769, 204, 264, 424, 68, 2185, 289, 1137, 68, 481, 68, 2185, 374, 204, 204, 264, 314, 977, 275, 424, 329, 1769, 3330, 204, 264, 424, 289, 1306, 204, 264, 1769, 289, 1306, 204, 204, 264, 314, 13818, 1924, 848, 424, 1800, 329, 1137, 275, 3310, 752, 204, 264, 348, 296, 292, 424, 68, 2185, 31, 204, 268, 3840, 68, 1685, 289, 2044, 23, 19, 10465, 499, 1312, 11291, 465, 394, 13, 78, 64, 22, 4513, 204, 204, 268, 314, 8192, 275, 752, 204, 268, 3840, 68, 1685, 68, 76, 289, 5363, 68, 11272, 68, 16778, 13, 3371, 68, 1685, 14, 204, 268, 3840, 68, 1685, 68, 5242, 289, 4522, 68, 5729, 13, 3371, 68, 1685, 14, 204, 268, 3840, 68, 1685, 68, 33993, 289, 5363, 68, 33993, 68, 17739, 13, 3371, 68, 1685, 14, 204, 268, 3840, 68, 1685, 68, 15293, 464, 68, 3995, 289, 4522, 68, 15293, 464, 68, 21512, 13, 3371, 68, 1685, 14, 204, 204, 268, 314, 5230, 275, 8049, 752, 329, 1800, 311, 275, 3330, 204, 268, 424, 19, 1223, 1568, 3371, 68, 1685, 68, 76, 17, 3840, 68, 1685, 68, 5242, 17, 3840, 68, 1685, 68, 33993, 17, 3840, 68, 1685, 68, 15293, 464, 68, 3995, 694, 204, 268, 1769, 19, 1223, 13, 78, 64, 23, 694, 204, 204, 264, 314, 3736, 275, 424, 1025, 1737, 17, 3587, 17, 329, 683, 3416, 204, 264, 951, 68, 481, 17, 679, 68, 481, 17, 951, 68, 2185, 17, 679, 68, 2185, 289, 951, 68, 804, 68, 1590, 13, 481, 17, 1769, 17, 683, 68, 835, 34, 21, 19, 23, 17, 1400, 68, 1512, 34, 5820, 14, 204, 264, 679, 68, 481, 17, 683, 68, 481, 17, 679, 68, 2185, 17, 683, 68, 2185, 289, 951, 68, 804, 68, 1590, 13, 577, 68, 481, 17, 679, 68, 2185, 17, 683, 68, 835, 34, 21, 19, 26, 17, 1400, 68, 1512, 34, 5820, 14, 204, 204, 264, 407, 951, 68, 481, 17, 679, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 679, 68, 2185, 17, 683, 68, 2185, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1385, 275, 1540, 3469, 752, 204, 264, 3840, 289, 2044, 23, 19, 10465, 13, 6433, 68, 23603, 68, 4082, 14, 204, 204, 264, 314, 3740, 275, 2171, 752, 204, 264, 1513, 19, 8122, 13, 3371, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3963, 329, 2037, 275, 6361, 6922, 204, 264, 6361, 68, 16778, 289, 5363, 68, 11272, 68, 16778, 13, 3371, 14, 204, 264, 1513, 19, 8122, 13, 11272, 68, 16778, 19, 7532, 13, 1123, 19, 9283, 29, 659, 14033, 833, 8472, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3963, 329, 2037, 275, 3885, 204, 264, 3885, 289, 4522, 68, 5729, 13, 3371, 14, 204, 264, 1513, 19, 8122, 13, 5729, 17, 14033, 833, 8472, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3963, 329, 2037, 275, 23733, 17869, 204, 264, 23733, 68, 21512, 289, 4522, 68, 15293, 464, 68, 21512, 13, 3371, 14, 204, 264, 348, 322, 93, 17, 469, 14, 292, 23733, 68, 21512, 31, 204, 268, 2044, 23, 19, 9085, 13, 3371, 17, 322, 93, 17, 469, 659, 435, 17, 322, 21, 17, 4580, 17, 500, 659, 338, 22, 14, 204, 264, 1513, 19, 8122, 13, 3371, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 1385, 329, 5221, 275, 424, 204, 264, 951, 68, 481, 17, 679, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 679, 68, 2185, 17, 683, 68, 2185, 289, 1137, 68, 416, 68, 7701, 68, 481, 374, 204, 264, 456, 499, 13000, 424, 2665, 2180, 1245, 13, 1219, 68, 481, 602, 204, 264, 456, 499, 17189, 424, 2665, 2180, 1245, 13, 577, 68, 481, 602, 204, 264, 456, 499, 2346, 424, 2665, 2180, 1245, 13, 804, 68, 481, 602, 204, 0, 647, 1804, 204, 647, 5004, 204, 647, 10275, 204, 647, 304, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 647, 2164, 204, 531, 10650, 25, 532, 5322, 448, 10650, 204, 647, 1875, 204, 204, 676, 35163, 16788, 525, 31, 204, 264, 320, 204, 264, 332, 850, 311, 3686, 8497, 424, 497, 35163, 32025, 19, 204, 204, 264, 1532, 31, 204, 268, 1779, 68, 6701, 322, 325, 330, 334, 1034, 1274, 348, 275, 4414, 19, 204, 268, 10534, 322, 8239, 19, 15450, 19, 40643, 26635, 45155, 330, 334, 10534, 348, 275, 2067, 19, 204, 268, 8508, 420, 322, 325, 330, 334, 8508, 420, 348, 275, 2067, 19, 204, 268, 5549, 322, 873, 330, 332, 955, 311, 1640, 5549, 424, 19, 204, 268, 1484, 68, 834, 322, 2664, 19, 2664, 330, 334, 690, 302, 275, 1673, 1484, 19, 204, 268, 5713, 322, 873, 330, 332, 955, 311, 1640, 3688, 19, 204, 268, 2349, 322, 2600, 19, 1362, 330, 332, 3805, 3135, 311, 1640, 275, 424, 19, 204, 268, 3671, 322, 996, 330, 334, 3090, 3671, 2297, 19, 204, 268, 1673, 68, 2895, 322, 996, 330, 334, 1673, 2297, 19, 204, 264, 320, 204, 204, 264, 314, 968, 3454, 348, 5448, 329, 2072, 204, 264, 1274, 68, 8589, 289, 388, 3189, 1963, 2120, 22, 19, 31707, 19, 40471, 19, 1453, 20, 91, 29, 20, 31707, 20, 10735, 4235, 6701, 20637, 6701, 2508, 6701, 14329, 4841, 2508, 4841, 2495, 204, 264, 1274, 68, 33750, 68, 8589, 289, 388, 3189, 1963, 2120, 22, 19, 31707, 19, 40471, 19, 1453, 20, 91, 28, 20, 31707, 20, 7237, 4235, 6701, 20637, 6956, 22, 2508, 1530, 68, 4220, 14329, 6956, 23, 2508, 409, 68, 4220, 14329, 4841, 2508, 4841, 14329, 6316, 2508, 2977, 14329, 35622, 2508, 35622, 2495, 204, 204, 264, 436, 589, 924, 889, 327, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 977, 275, 35163, 16788, 525, 726, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 268, 320, 204, 268, 370, 19, 805, 68, 6701, 289, 443, 204, 268, 370, 19, 15450, 289, 443, 204, 268, 370, 19, 35622, 289, 443, 204, 268, 370, 19, 7111, 289, 2087, 204, 268, 370, 19, 2120, 68, 834, 289, 443, 204, 268, 370, 19, 6656, 289, 443, 204, 268, 370, 19, 1695, 289, 1246, 19, 1362, 374, 204, 268, 370, 19, 3529, 289, 443, 204, 268, 370, 19, 2391, 68, 2895, 289, 443, 204, 268, 370, 19, 2251, 289, 6416, 204, 204, 264, 436, 4199, 68, 2488, 13, 327, 330, 204, 268, 320, 204, 268, 9886, 275, 10534, 329, 8508, 420, 19, 204, 268, 320, 204, 268, 370, 19, 35622, 289, 443, 204, 268, 370, 19, 15450, 289, 443, 204, 204, 264, 436, 5345, 13, 327, 17, 4414, 31, 394, 17, 3091, 31, 394, 289, 388, 22, 77, 528, 930, 2251, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 35163, 16788, 525, 726, 440, 273, 4414, 329, 3091, 19, 204, 204, 268, 457, 31, 204, 305, 4414, 322, 325, 330, 334, 3613, 4414, 19, 204, 305, 3091, 322, 325, 17, 1448, 330, 334, 3091, 19, 1243, 311, 388, 22, 77, 2948, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 268, 320, 204, 268, 370, 19, 805, 68, 6701, 289, 370, 19, 3778, 68, 8589, 19, 2478, 13, 6701, 34, 6701, 17, 3091, 34, 4841, 14, 204, 268, 810, 31, 204, 305, 958, 289, 2164, 19, 505, 13, 327, 19, 805, 68, 6701, 17, 930, 2251, 14, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 305, 370, 19, 15450, 289, 958, 19, 15450, 204, 305, 1068, 289, 958, 19, 492, 204, 204, 305, 314, 1752, 275, 8508, 420, 292, 275, 958, 1068, 204, 305, 2679, 289, 304, 19, 7354, 611, 25789, 420, 12909, 559, 32478, 35622, 34835, 13, 26766, 31072, 7832, 534, 204, 305, 24597, 289, 2679, 19, 12624, 13, 492, 14, 204, 305, 397, 24597, 31, 204, 485, 370, 19, 35622, 289, 5004, 19, 350, 20409, 13, 27627, 64, 21, 694, 204, 485, 370, 19, 35622, 289, 370, 19, 35622, 19, 3834, 13, 90, 7, 4727, 90, 22252, 43, 528, 6040, 431, 204, 204, 305, 314, 2735, 275, 2084, 958, 204, 305, 6338, 289, 1875, 19, 5569, 13, 492, 14, 204, 305, 424, 289, 6338, 736, 10735, 4976, 1300, 6970, 21, 6690, 31913, 4976, 11843, 6970, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21, 66, 204, 305, 4521, 289, 6338, 736, 10735, 4976, 1300, 6970, 21, 6690, 5192, 839, 204, 305, 5713, 289, 6338, 736, 10735, 4976, 1300, 6970, 21, 6690, 6656, 839, 204, 204, 305, 370, 19, 3529, 289, 5713, 736, 9983, 17101, 839, 204, 305, 370, 19, 2391, 68, 2895, 289, 5713, 736, 10381, 30200, 12998, 839, 204, 204, 305, 314, 666, 273, 3805, 3135, 497, 275, 424, 204, 305, 14018, 289, 1246, 19, 633, 68, 2664, 13, 5192, 17, 2350, 833, 88, 3930, 11344, 68, 4027, 504, 499, 11811, 5561, 11344, 68, 6470, 499, 3322, 20, 30111, 1349, 5561, 11344, 68, 4027, 504, 13, 3170, 14, 204, 305, 14018, 19, 417, 289, 388, 672, 7, 204, 305, 370, 19, 1695, 289, 1246, 19, 1362, 13, 481, 14, 204, 305, 370, 19, 1695, 19, 998, 289, 14018, 204, 305, 370, 19, 6656, 289, 5713, 204, 268, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 1642, 4460, 204, 264, 436, 1814, 68, 633, 68, 4220, 13, 672, 31, 1804, 19, 2664, 14, 393, 421, 31, 204, 268, 320, 204, 268, 2208, 273, 1804, 726, 311, 437, 3741, 4521, 19, 204, 204, 268, 457, 31, 204, 305, 1489, 322, 2664, 19, 2664, 330, 334, 1804, 726, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 3741, 4521, 19, 204, 268, 320, 204, 268, 407, 421, 1802, 672, 338, 1246, 19, 20067, 499, 40058, 18, 3222, 18, 3222, 41643, 2609, 68, 6821, 1447, 204, 204, 264, 436, 636, 68, 24899, 68, 481, 13, 327, 17, 4414, 31, 394, 17, 1012, 68, 672, 31, 1804, 19, 2664, 17, 1136, 68, 672, 31, 1804, 19, 2664, 289, 443, 17, 1643, 31, 394, 289, 388, 5383, 528, 3091, 31, 394, 289, 388, 22, 73, 431, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 763, 8916, 424, 348, 273, 4414, 19, 204, 204, 268, 457, 31, 204, 305, 4414, 322, 325, 330, 334, 3613, 4414, 19, 204, 305, 1012, 68, 672, 322, 2664, 19, 2664, 330, 334, 1012, 1489, 19, 204, 305, 1136, 68, 672, 322, 2664, 19, 2664, 17, 1448, 330, 334, 1136, 1489, 19, 1243, 311, 443, 19, 204, 305, 1643, 322, 325, 17, 1448, 330, 334, 1643, 1187, 19, 1243, 311, 388, 5383, 2948, 204, 305, 3091, 322, 325, 17, 1448, 330, 334, 3091, 19, 1243, 311, 388, 22, 73, 2948, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 8916, 424, 19, 204, 268, 320, 204, 268, 397, 370, 19, 35622, 353, 443, 31, 204, 305, 370, 19, 9462, 13, 6701, 14, 204, 204, 268, 397, 1136, 68, 672, 353, 443, 31, 204, 305, 1136, 68, 672, 289, 1246, 19, 633, 68, 2664, 13, 2664, 19, 2664, 19, 1520, 1447, 204, 204, 268, 1779, 289, 370, 19, 3778, 68, 33750, 68, 8589, 19, 2478, 13, 204, 305, 1012, 68, 4220, 34, 327, 19, 6470, 68, 633, 68, 4220, 13, 1530, 68, 672, 659, 204, 305, 1136, 68, 4220, 34, 327, 19, 6470, 68, 633, 68, 4220, 13, 409, 68, 672, 659, 204, 305, 4414, 34, 6701, 17, 204, 305, 1643, 34, 2977, 17, 204, 305, 8508, 420, 34, 327, 19, 35622, 17, 204, 305, 3091, 34, 4841, 204, 268, 1179, 204, 204, 268, 10534, 289, 463, 93, 19, 417, 31, 610, 19, 876, 348, 610, 292, 370, 19, 15450, 98, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 17, 10534, 34, 15450, 17, 930, 327, 19, 2251, 14, 204, 268, 2349, 289, 1246, 19, 976, 68, 2039, 13, 936, 19, 32162, 13, 1935, 19, 492, 602, 204, 268, 2349, 19, 1229, 3460, 379, 23618, 839, 289, 4414, 204, 268, 407, 2349, 204, 204, 264, 436, 636, 68, 2391, 68, 2895, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 763, 275, 1673, 2297, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1673, 2297, 19, 204, 268, 320, 204, 268, 407, 370, 19, 2391, 68, 2895, 204, 204, 264, 436, 636, 68, 9983, 68, 3529, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 763, 275, 3090, 3671, 2297, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 3090, 3671, 2297, 19, 204, 268, 320, 204, 268, 407, 370, 19, 3529, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 469, 289, 35163, 16788, 525, 374, 204, 264, 469, 19, 9462, 499, 35129, 528, 3091, 1022, 22, 82, 431, 204, 264, 456, 13, 94, 19, 505, 68, 2391, 68, 2895, 1447, 204, 264, 456, 13, 94, 19, 505, 68, 9983, 68, 3529, 1447, 204, 264, 8916, 68, 481, 289, 469, 19, 505, 68, 24899, 68, 481, 499, 35129, 528, 1804, 19, 2664, 13, 8409, 17, 368, 17, 368, 602, 204, 264, 456, 13, 24899, 68, 481, 19, 1885, 1447, 204, 0, 4377, 275, 1525, 1581, 31, 204, 204, 4292, 1735, 13607, 6411, 96, 1663, 98, 23, 2343, 571, 2343, 720, 2343, 1168, 6997, 2989, 2343, 3139, 2343, 1433, 2343, 5773, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 2562, 2343, 4662, 2343, 338, 1916, 6997, 338, 5737, 2343, 338, 5254, 2343, 1916, 6997, 2153, 2343, 720, 2343, 338, 720, 6997, 500, 2343, 500, 2343, 368, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 22, 6997, 2787, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 66, 289, 688, 1735, 13607, 6411, 96, 1663, 98, 1641, 6997, 7500, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 2310, 618, 2280, 490, 1873, 1660, 560, 1660, 31, 204, 204, 22, 19, 6867, 17, 949, 275, 1351, 302, 275, 1350, 329, 4986, 7703, 31, 204, 204, 4292, 1735, 13607, 6411, 96, 1663, 98, 2562, 2343, 4662, 2343, 338, 1916, 6997, 338, 5737, 2343, 338, 5254, 2343, 1916, 6997, 2153, 2343, 720, 2343, 338, 720, 6997, 500, 2343, 500, 2343, 368, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 22, 6997, 2787, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 66, 289, 688, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1735, 13607, 6411, 96, 1663, 98, 2562, 465, 4662, 90, 338, 1916, 91, 6997, 338, 2562, 338, 5254, 90, 465, 1916, 91, 6997, 2153, 465, 720, 90, 338, 720, 91, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 23, 19, 9419, 17, 949, 275, 1351, 302, 275, 1043, 1525, 329, 275, 722, 31, 204, 204, 4292, 1735, 13607, 6411, 96, 1663, 98, 23, 2343, 571, 2343, 720, 2343, 1168, 6997, 2989, 2343, 3139, 2343, 1433, 2343, 5773, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 2562, 465, 4662, 90, 338, 1916, 91, 6997, 338, 2562, 338, 5254, 90, 465, 1916, 91, 6997, 2153, 465, 720, 90, 338, 720, 91, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 13752, 688, 1735, 13607, 6411, 96, 1663, 98, 23, 13, 2562, 465, 4662, 90, 338, 1916, 91, 14, 465, 571, 2422, 2562, 338, 5254, 90, 465, 1916, 91, 14, 465, 720, 13, 1909, 465, 720, 90, 338, 720, 91, 14, 465, 1168, 91, 6997, 2989, 13, 2562, 465, 4662, 90, 338, 1916, 91, 14, 465, 3139, 2422, 2562, 338, 5254, 90, 465, 1916, 91, 14, 465, 1433, 13, 1909, 465, 720, 90, 338, 720, 91, 14, 465, 5773, 91, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 13752, 688, 1735, 13607, 6411, 96, 1663, 98, 7489, 338, 23870, 465, 7776, 465, 10610, 90, 338, 13548, 90, 465, 2019, 90, 338, 5075, 91, 465, 10631, 91, 338, 2019, 91, 465, 1168, 91, 6997, 1132, 2177, 338, 931, 5303, 465, 4662, 26, 465, 571, 2562, 90, 338, 5487, 30, 90, 465, 10787, 90, 338, 38210, 91, 465, 2468, 27, 91, 338, 10787, 91, 465, 5773, 91, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 13752, 688, 1735, 13607, 6411, 96, 1663, 98, 1641, 6997, 7500, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 1834, 1581, 12640, 3597, 17, 754, 275, 800, 1525, 1581, 353, 1097, 19, 204, 204, 25994, 17, 572, 618, 2506, 275, 2558, 7310, 31, 204, 204, 4292, 4548, 289, 571, 465, 2787, 338, 376, 9, 204, 204, 4292, 7030, 289, 2787, 9, 204, 204, 7002, 275, 7703, 31, 204, 204, 9, 41, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 1003, 2343, 1916, 2343, 931, 6997, 338, 931, 2343, 338, 1916, 2343, 338, 1233, 6997, 500, 2343, 720, 2343, 500, 6997, 571, 2343, 338, 368, 2343, 368, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 9, 42, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 22, 6997, 688, 4548, 6997, 688, 7030, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 9, 50, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 22, 2343, 500, 2343, 500, 6997, 571, 2343, 368, 2343, 338, 368, 6997, 500, 2343, 368, 2343, 500, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 2310, 874, 31, 204, 204, 9, 41, 471, 289, 565, 346, 9, 204, 204, 9, 42, 289, 502, 346, 9, 204, 204, 9, 41, 502, 346, 289, 565, 346, 688, 35672, 412, 502, 289, 565, 688, 35672, 502, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 22, 2343, 500, 2343, 500, 6997, 571, 2343, 368, 2343, 338, 368, 6997, 500, 2343, 368, 2343, 500, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 1834, 3629, 437, 9037, 2355, 302, 275, 1525, 1581, 19, 0, 658, 38669, 545, 14716, 204, 204, 25088, 545, 4685, 353, 273, 7659, 302, 4685, 496, 21400, 440, 275, 3599, 17, 7365, 17, 329, 4249, 302, 22959, 424, 19, 1547, 5628, 275, 732, 302, 4109, 2986, 311, 25841, 329, 8959, 275, 4802, 2048, 302, 275, 424, 19, 204, 204, 1380, 16821, 302, 23879, 39716, 204, 204, 2841, 529, 3420, 3003, 302, 7654, 16220, 31, 204, 204, 22, 19, 930, 40688, 1082, 12155, 1416, 1058, 3948, 353, 1376, 311, 33657, 424, 1025, 7656, 4119, 521, 5981, 17, 1702, 448, 10557, 20, 22013, 521, 18082, 20, 1625, 19, 204, 23, 19, 930, 4366, 73, 1082, 12155, 1416, 1058, 3948, 353, 1376, 311, 4849, 424, 292, 1552, 17, 1702, 448, 2223, 311, 3264, 521, 1043, 311, 1673, 19, 204, 24, 19, 930, 24363, 12155, 1416, 1058, 3948, 353, 1376, 311, 3001, 424, 630, 4217, 7046, 17, 1702, 448, 3312, 521, 690, 19, 204, 25, 19, 930, 30299, 12155, 1416, 1058, 3948, 353, 1376, 311, 3001, 424, 496, 869, 273, 3597, 2962, 917, 17, 1702, 448, 2308, 521, 1853, 19, 204, 204, 1380, 29437, 302, 12867, 313, 409, 1430, 204, 204, 6091, 16275, 302, 6837, 20720, 529, 1376, 311, 8959, 275, 4876, 521, 13713, 700, 302, 273, 1485, 19, 334, 2327, 667, 7935, 302, 6837, 20720, 529, 31, 204, 204, 22, 19, 930, 12275, 1416, 334, 2480, 700, 302, 275, 1485, 19, 204, 23, 19, 930, 27448, 1416, 334, 4876, 700, 302, 275, 1485, 1330, 490, 353, 17442, 292, 1552, 19, 204, 24, 19, 930, 11176, 1416, 334, 1901, 12283, 16508, 700, 292, 275, 1485, 19, 204, 204, 1380, 29437, 302, 13702, 3423, 204, 204, 6091, 16275, 302, 23616, 529, 1376, 311, 8959, 275, 6813, 521, 29871, 302, 275, 424, 19, 334, 667, 7935, 302, 23616, 529, 31, 204, 204, 22, 19, 930, 13351, 1416, 334, 2712, 1283, 275, 6862, 329, 10658, 1019, 292, 275, 1485, 19, 204, 23, 19, 930, 15151, 21589, 1416, 332, 3001, 302, 275, 1690, 302, 12555, 521, 29871, 302, 275, 424, 497, 275, 1869, 19, 204, 24, 19, 930, 19930, 371, 21547, 1416, 332, 3001, 302, 275, 5050, 302, 424, 1728, 496, 5573, 5084, 273, 4153, 700, 19, 204, 204, 1380, 9630, 6434, 78, 1027, 302, 1594, 204, 204, 989, 618, 444, 34009, 34090, 974, 4109, 11137, 329, 21020, 17, 1702, 448, 31, 204, 204, 22, 19, 930, 10757, 14922, 1416, 332, 1582, 496, 5913, 275, 3133, 3272, 302, 275, 424, 19, 204, 23, 19, 930, 12392, 27897, 1416, 332, 1582, 496, 5913, 275, 7448, 302, 1792, 5981, 19, 204, 204, 1380, 25703, 329, 15210, 204, 204, 35423, 329, 6058, 529, 1376, 311, 8959, 275, 3633, 1283, 970, 521, 1182, 2558, 19, 204, 204, 22, 19, 930, 35423, 25375, 1416, 332, 3001, 302, 275, 8001, 329, 2945, 302, 275, 3633, 1283, 970, 2558, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 23, 19, 930, 23022, 15210, 1416, 332, 12721, 1216, 496, 5913, 275, 3633, 1283, 4569, 6403, 2558, 329, 273, 10742, 1554, 19, 204, 204, 1380, 9258, 17188, 204, 204, 4377, 275, 2631, 3703, 523, 273, 5411, 683, 31, 17070, 17, 10787, 17, 15066, 17, 2753, 17, 5074, 17, 17070, 17, 17763, 17, 2073, 275, 2631, 3888, 31, 204, 204, 22, 19, 2935, 3948, 302, 7654, 529, 872, 974, 36, 204, 23, 19, 2935, 867, 275, 933, 36, 204, 24, 19, 3963, 275, 1869, 17, 6716, 17, 329, 2291, 19, 204, 25, 19, 2935, 353, 1214, 3272, 2090, 36, 204, 204, 658, 592, 19842, 14716, 204, 204, 837, 19842, 4685, 353, 273, 7659, 302, 4685, 496, 21400, 440, 4461, 20675, 521, 43989, 1465, 273, 3390, 1609, 523, 273, 1672, 302, 424, 19, 204, 204, 1380, 24674, 12016, 204, 204, 14426, 16889, 2907, 353, 273, 12721, 1216, 496, 353, 1376, 311, 683, 273, 8159, 521, 17455, 1465, 273, 3390, 19, 204, 204, 22, 19, 930, 33245, 24674, 1416, 332, 4818, 302, 1236, 2620, 521, 1236, 2712, 19, 204, 23, 19, 930, 7351, 302, 9067, 35867, 1416, 334, 2634, 302, 11809, 299, 275, 3749, 8159, 1330, 490, 353, 3597, 19, 204, 24, 19, 930, 2191, 382, 7252, 1416, 334, 2634, 302, 11809, 299, 275, 3749, 8159, 1330, 490, 353, 3597, 19, 204, 25, 19, 930, 2191, 8392, 7252, 1416, 334, 2634, 302, 28867, 311, 11809, 275, 3749, 8159, 1330, 490, 353, 7463, 19, 204, 204, 1380, 313, 18, 2346, 329, 32284, 204, 204, 22, 19, 930, 57, 18, 2346, 1416, 332, 12721, 1216, 496, 353, 1376, 311, 5408, 970, 3210, 19, 204, 23, 19, 930, 17860, 302, 26174, 322, 2313, 52, 11381, 12541, 332, 12721, 1216, 496, 353, 1376, 311, 5408, 970, 521, 1182, 3210, 19, 204, 204, 1380, 11955, 46541, 5458, 204, 204, 16632, 46541, 4394, 529, 1376, 1330, 275, 424, 1583, 508, 7116, 275, 19817, 302, 27718, 4394, 19, 204, 204, 22, 19, 930, 1571, 78, 18, 16109, 1295, 1416, 332, 12721, 1216, 496, 353, 1376, 311, 683, 275, 13955, 1283, 970, 10820, 2558, 19, 0, 461, 456, 68, 1630, 68, 398, 68, 633, 13, 83, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 886, 497, 500, 311, 300, 18, 22, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 322, 25094, 14, 302, 275, 886, 311, 456, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 348, 3546, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 296, 292, 933, 13, 83, 330, 204, 268, 456, 13, 78, 14, 204, 204, 461, 456, 68, 1630, 68, 2004, 68, 1454, 13, 83, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 886, 497, 500, 311, 300, 18, 22, 440, 273, 943, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 322, 25094, 14, 302, 275, 886, 311, 456, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 348, 3546, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 296, 292, 933, 13, 83, 330, 204, 268, 456, 13, 75, 7, 17858, 700, 31, 463, 78, 743, 204, 264, 902, 31, 204, 268, 314, 334, 902, 2254, 1120, 444, 11529, 1330, 275, 3546, 42643, 13832, 204, 268, 456, 499, 17040, 10689, 5397, 204, 204, 461, 456, 68, 1630, 68, 2776, 68, 10868, 13, 83, 31, 421, 17, 2280, 68, 269, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 886, 497, 500, 311, 300, 18, 22, 17, 18711, 630, 273, 1713, 542, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 322, 25094, 14, 302, 275, 886, 311, 456, 19, 204, 268, 2280, 68, 269, 322, 339, 330, 334, 542, 630, 928, 311, 2280, 275, 3546, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 348, 3546, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 296, 292, 933, 13, 83, 330, 204, 268, 397, 296, 564, 2280, 68, 269, 31, 204, 305, 2280, 204, 268, 456, 13, 78, 14, 204, 204, 461, 456, 68, 8686, 68, 12020, 68, 77, 13, 88, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 2724, 292, 273, 782, 17, 26199, 379, 77, 2625, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 458, 6459, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 1125, 292, 322, 72, 348, 279, 292, 297, 397, 279, 19, 3006, 374, 2167, 379, 77, 4448, 204, 268, 456, 13, 2441, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 68, 1630, 68, 398, 68, 633, 13, 1003, 14, 204, 264, 456, 68, 1630, 68, 2004, 68, 1454, 13, 1003, 14, 204, 264, 456, 68, 1630, 68, 2776, 68, 10868, 13, 2051, 17, 681, 14, 204, 264, 456, 68, 8686, 68, 12020, 68, 77, 499, 11700, 431, 204, 0, 1449, 949, 275, 17757, 6088, 12507, 322, 44, 4329, 659, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 40357, 8247, 40338, 311, 848, 5686, 1416, 204, 262, 338, 332, 16, 289, 681, 19, 24, 204, 262, 338, 332, 289, 681, 19, 21, 204, 262, 338, 332, 18, 289, 571, 19, 28, 204, 262, 338, 565, 16, 289, 571, 19, 24, 204, 262, 338, 565, 289, 571, 19, 21, 204, 262, 338, 565, 18, 289, 435, 19, 28, 204, 262, 338, 346, 16, 289, 435, 19, 24, 204, 262, 338, 346, 289, 435, 19, 21, 204, 262, 338, 346, 18, 289, 368, 19, 28, 204, 262, 338, 412, 16, 289, 368, 19, 24, 204, 262, 338, 412, 289, 368, 19, 21, 204, 262, 338, 412, 18, 289, 500, 19, 28, 204, 262, 338, 472, 289, 500, 204, 262, 338, 548, 289, 500, 204, 204, 23, 19, 930, 11479, 5926, 1728, 348, 848, 3200, 1416, 204, 262, 338, 8838, 275, 542, 302, 22066, 3658, 348, 848, 3200, 560, 1163, 3310, 8247, 5686, 6414, 19, 204, 204, 24, 19, 930, 11479, 275, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1113, 5926, 1728, 348, 275, 22066, 1416, 204, 262, 338, 1255, 719, 830, 275, 5926, 1728, 17243, 348, 848, 3200, 292, 275, 22066, 19, 204, 204, 25, 19, 930, 11479, 275, 22066, 33692, 1416, 204, 262, 338, 10164, 275, 1113, 5926, 1728, 348, 275, 22066, 560, 275, 1113, 542, 302, 22066, 3658, 348, 9442, 440, 9695, 332, 18, 43, 521, 548, 19, 204, 204, 26, 19, 930, 11479, 275, 8046, 33692, 1416, 204, 262, 338, 1255, 719, 830, 275, 5926, 1728, 497, 830, 414, 293, 13347, 19, 204, 262, 338, 1255, 719, 830, 275, 6826, 22066, 3658, 497, 830, 414, 293, 13347, 322, 25206, 9442, 440, 9695, 387, 521, 415, 17, 14275, 273, 548, 521, 472, 867, 17243, 789, 204, 262, 338, 10164, 275, 1113, 5926, 1728, 560, 275, 1113, 6826, 22066, 3658, 19, 204, 204, 777, 5063, 1416, 204, 18, 6867, 22066, 31, 204, 226, 338, 17307, 45, 18131, 322, 25, 3658, 17, 565, 16, 330, 681, 540, 571, 19, 24, 289, 2989, 19, 23, 5926, 1728, 204, 226, 338, 472, 24510, 14382, 322, 25, 3658, 17, 332, 330, 681, 540, 681, 19, 21, 289, 2247, 19, 21, 5926, 1728, 204, 226, 338, 595, 10172, 56, 14382, 322, 24, 3658, 17, 565, 330, 571, 540, 571, 19, 21, 289, 1233, 19, 21, 5926, 1728, 204, 226, 338, 12531, 57, 24832, 322, 24, 3658, 17, 565, 18, 330, 571, 540, 435, 19, 28, 289, 1132, 19, 22, 5926, 1728, 204, 226, 338, 23119, 6449, 322, 21, 19, 26, 3658, 17, 548, 330, 500, 19, 26, 540, 500, 289, 500, 5926, 1728, 204, 226, 338, 7867, 5926, 1728, 31, 2989, 19, 23, 465, 2247, 19, 21, 465, 1233, 19, 21, 465, 1132, 19, 22, 465, 500, 289, 13326, 19, 24, 204, 226, 338, 7867, 6826, 22066, 3658, 31, 681, 465, 681, 465, 571, 465, 571, 465, 500, 19, 26, 289, 2905, 19, 26, 204, 226, 338, 2135, 15783, 33692, 31, 13326, 19, 24, 802, 2905, 19, 26, 289, 571, 19, 37873, 204, 204, 18, 10110, 22066, 31, 204, 226, 338, 17307, 45, 19943, 322, 25, 3658, 17, 346, 330, 681, 540, 435, 19, 21, 289, 1132, 5926, 1728, 204, 226, 338, 472, 24510, 21959, 322, 25, 3658, 17, 332, 18, 330, 681, 540, 571, 19, 28, 289, 2905, 19, 29, 5926, 1728, 204, 226, 338, 565, 46, 4755, 25174, 49, 322, 25, 3658, 17, 565, 330, 681, 540, 571, 19, 21, 289, 1598, 19, 21, 5926, 1728, 204, 226, 338, 16563, 40, 39414, 322, 24, 3658, 17, 346, 16, 330, 571, 540, 435, 19, 24, 289, 887, 19, 30, 5926, 1728, 204, 226, 338, 7867, 5926, 1728, 31, 1132, 465, 2905, 19, 29, 465, 1598, 19, 21, 465, 887, 19, 30, 289, 10688, 19, 28, 204, 226, 338, 7867, 6826, 22066, 3658, 31, 681, 465, 681, 465, 681, 465, 571, 289, 2153, 204, 226, 338, 2135, 15783, 33692, 31, 10688, 19, 28, 802, 2153, 289, 435, 19, 28, 2934, 204, 204, 18, 45051, 33692, 1877, 970, 414, 293, 13347, 31, 204, 226, 338, 7867, 5926, 1728, 31, 13326, 19, 24, 465, 10688, 19, 28, 289, 16348, 19, 21, 204, 226, 338, 7867, 6826, 22066, 3658, 31, 2905, 19, 26, 465, 2153, 289, 7500, 19, 26, 204, 226, 338, 45051, 33692, 31, 16348, 19, 21, 802, 7500, 19, 26, 289, 435, 19, 47807, 0, 8, 968, 3454, 348, 5818, 7028, 204, 40980, 68, 19093, 2214, 289, 463, 204, 264, 388, 31663, 559, 2832, 47, 16300, 559, 10785, 3145, 19, 21, 1522, 204, 264, 388, 47, 16300, 559, 2832, 47, 16300, 559, 368, 19, 21, 98, 204, 98, 204, 204, 40980, 68, 9202, 44554, 289, 20846, 204, 204, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 2906, 2872, 3806, 19, 204, 204, 264, 457, 31, 204, 264, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 268, 397, 575, 68, 768, 31, 204, 305, 407, 575, 68, 768, 204, 268, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 537, 1280, 204, 204, 461, 636, 68, 1190, 68, 522, 68, 12053, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 542, 302, 9093, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 542, 302, 9093, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 9093, 497, 275, 575, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 505, 68, 816, 68, 768, 499, 2101, 275, 542, 302, 9093, 31, 4091, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 204, 461, 636, 68, 7305, 68, 4810, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 275, 4391, 1690, 329, 8037, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 927, 31, 332, 927, 1174, 275, 4391, 1690, 329, 8037, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4391, 1690, 329, 8037, 497, 275, 575, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 1690, 17, 8037, 289, 636, 68, 816, 68, 768, 499, 2101, 275, 4391, 1690, 329, 8037, 322, 74, 19, 76, 2458, 931, 871, 16300, 330, 6165, 1590, 374, 204, 305, 407, 818, 13, 3949, 659, 8037, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1690, 329, 8037, 1280, 204, 204, 461, 1814, 68, 8653, 13, 3949, 31, 818, 17, 497, 68, 8653, 31, 394, 17, 311, 68, 8653, 31, 394, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 1051, 8037, 311, 3161, 19, 204, 204, 264, 457, 31, 204, 264, 1690, 322, 996, 330, 334, 1690, 311, 1814, 19, 204, 264, 497, 68, 8653, 322, 325, 330, 334, 8037, 311, 1814, 497, 19, 204, 264, 311, 68, 8653, 322, 325, 330, 334, 8037, 311, 1814, 311, 19, 204, 204, 264, 475, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 204, 264, 818, 31, 334, 6004, 1690, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 5818, 2233, 353, 2755, 204, 264, 397, 497, 68, 8653, 508, 292, 11538, 12110, 68, 19093, 2214, 521, 311, 68, 8653, 508, 292, 11538, 12110, 68, 19093, 2214, 64, 531, 68, 8653, 744, 204, 268, 980, 987, 499, 37423, 2233, 508, 2755, 431, 204, 204, 264, 314, 2208, 275, 8037, 204, 264, 407, 1690, 540, 11538, 12110, 68, 19093, 2214, 64, 531, 68, 8653, 1799, 633, 68, 8653, 66, 204, 204, 461, 949, 68, 2609, 68, 876, 13, 920, 68, 12053, 31, 421, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 1113, 700, 302, 275, 9093, 19, 204, 204, 264, 457, 31, 204, 264, 771, 68, 12053, 322, 339, 330, 334, 542, 302, 9093, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 1113, 700, 302, 275, 9093, 19, 204, 264, 320, 204, 264, 314, 977, 275, 1113, 700, 204, 264, 1113, 68, 876, 289, 500, 19, 21, 204, 204, 264, 314, 888, 275, 1113, 700, 204, 264, 348, 906, 292, 933, 13, 920, 68, 12053, 330, 204, 268, 1690, 17, 8037, 289, 636, 68, 7305, 68, 4810, 374, 204, 268, 397, 8037, 564, 388, 47, 16300, 559, 204, 305, 1113, 68, 876, 1412, 1690, 204, 268, 1677, 8037, 564, 388, 31663, 559, 204, 305, 1113, 68, 876, 1412, 1814, 68, 8653, 13, 3949, 17, 388, 31663, 528, 388, 47, 16300, 431, 204, 204, 264, 407, 1113, 68, 876, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 542, 302, 9093, 204, 264, 771, 68, 12053, 289, 636, 68, 1190, 68, 522, 68, 12053, 374, 204, 204, 264, 314, 888, 275, 1113, 700, 204, 264, 1113, 68, 876, 289, 949, 68, 2609, 68, 876, 13, 920, 68, 12053, 14, 204, 204, 264, 314, 1198, 275, 1113, 700, 204, 264, 456, 13, 75, 7, 6425, 700, 31, 463, 2609, 68, 876, 4567, 23, 75, 98, 871, 16300, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 636, 68, 4649, 68, 768, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3596, 575, 537, 329, 16340, 490, 448, 437, 1534, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 7950, 1534, 537, 19, 204, 264, 320, 204, 264, 314, 9799, 3176, 275, 575, 3119, 273, 1097, 1534, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 204, 461, 636, 68, 1530, 68, 416, 68, 409, 68, 1630, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 3596, 275, 1012, 329, 1136, 886, 497, 275, 575, 17, 16054, 275, 1136, 542, 353, 3114, 1194, 275, 1012, 542, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 1012, 329, 1136, 886, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1012, 542, 497, 275, 575, 204, 264, 1012, 68, 1190, 289, 636, 68, 4649, 68, 768, 499, 5213, 2064, 1214, 4145, 542, 31, 2810, 204, 615, 264, 314, 9799, 3176, 275, 575, 348, 275, 1136, 542, 3119, 490, 677, 3114, 1194, 275, 1012, 542, 204, 264, 1335, 959, 31, 204, 268, 1136, 68, 1190, 289, 636, 68, 4649, 68, 768, 499, 5213, 2064, 1214, 9801, 542, 31, 2810, 204, 268, 397, 1136, 68, 1190, 1323, 1012, 68, 1190, 31, 204, 305, 2280, 204, 268, 456, 499, 10981, 299, 542, 869, 311, 444, 3114, 1194, 4145, 542, 1280, 204, 615, 264, 407, 1012, 68, 1190, 17, 1136, 68, 1190, 204, 204, 461, 949, 68, 1190, 68, 22305, 13, 1190, 31, 421, 14, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 3989, 275, 2415, 329, 6871, 302, 273, 542, 19, 204, 204, 264, 457, 31, 204, 268, 542, 322, 339, 330, 334, 542, 311, 949, 275, 9350, 348, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 2415, 329, 6871, 302, 275, 542, 19, 204, 264, 320, 204, 264, 314, 888, 275, 2415, 329, 6871, 302, 275, 542, 974, 19883, 204, 264, 2415, 289, 542, 930, 435, 204, 264, 6871, 289, 542, 930, 571, 204, 264, 407, 2415, 17, 6871, 204, 204, 461, 456, 68, 6845, 68, 13583, 68, 1867, 13, 1530, 68, 1190, 31, 421, 17, 1136, 68, 1190, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2415, 18, 13583, 1435, 348, 275, 800, 933, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 1012, 68, 1190, 322, 339, 330, 334, 4145, 542, 302, 275, 933, 19, 204, 268, 1136, 68, 1190, 322, 339, 330, 334, 9801, 542, 302, 275, 933, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 1435, 3494, 204, 264, 456, 499, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 12779, 30714, 89, 431, 204, 264, 456, 499, 4290, 528, 388, 41101, 528, 388, 42480, 336, 528, 12779, 30714, 89, 431, 204, 264, 456, 499, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 12779, 30714, 89, 431, 204, 615, 264, 314, 1198, 275, 1435, 3015, 204, 264, 348, 542, 292, 933, 13, 1530, 68, 1190, 17, 1136, 68, 1190, 465, 368, 330, 204, 268, 2415, 17, 6871, 289, 949, 68, 1190, 68, 22305, 13, 1190, 14, 204, 268, 456, 13, 1190, 17, 2415, 17, 6871, 17, 12779, 30714, 89, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 456, 499, 15352, 311, 275, 2415, 18, 13583, 1435, 4651, 1280, 204, 264, 1012, 68, 1190, 17, 1136, 68, 1190, 289, 636, 68, 1530, 68, 416, 68, 409, 68, 1630, 374, 204, 264, 456, 68, 6845, 68, 13583, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1867, 13, 1530, 68, 1190, 17, 1136, 68, 1190, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5567, 532, 4942, 204, 531, 5567, 19, 5554, 19, 4608, 19, 1424, 532, 4596, 204, 647, 2821, 204, 647, 690, 204, 531, 5567, 19, 5554, 19, 6815, 19, 3802, 532, 9552, 204, 531, 5567, 19, 5554, 19, 6815, 532, 1812, 68, 9821, 448, 7999, 204, 204, 461, 949, 68, 6452, 13, 768, 68, 876, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 888, 275, 2073, 1609, 523, 275, 800, 537, 700, 19, 204, 204, 264, 334, 2073, 353, 3392, 448, 275, 4193, 14821, 302, 275, 4923, 700, 302, 1598, 2666, 275, 10362, 302, 275, 537, 700, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 876, 322, 339, 330, 334, 537, 700, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3392, 2073, 19, 204, 264, 320, 204, 264, 314, 888, 275, 2073, 974, 275, 800, 2089, 204, 264, 407, 394, 13, 3394, 19, 761, 13, 4977, 13, 1258, 540, 2821, 19, 2883, 13, 768, 68, 876, 18742, 204, 204, 461, 12136, 68, 633, 68, 27593, 13, 2127, 31, 4942, 19, 7140, 14, 393, 443, 31, 204, 264, 320, 204, 264, 11454, 311, 275, 10572, 19, 204, 204, 264, 457, 31, 204, 268, 3175, 322, 5554, 19, 7140, 330, 334, 14025, 7471, 1014, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1274, 302, 275, 10572, 204, 264, 1779, 289, 388, 3189, 1963, 32570, 837, 31541, 19, 8750, 19, 936, 20, 4118, 68, 5154, 19, 2079, 7, 204, 264, 314, 11454, 311, 275, 10572, 204, 264, 3175, 19, 505, 13, 805, 14, 204, 204, 461, 5233, 68, 607, 68, 654, 13, 2127, 31, 4942, 19, 7140, 17, 2073, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10155, 685, 275, 798, 440, 275, 3392, 2073, 19, 204, 204, 264, 457, 31, 204, 268, 3175, 322, 5554, 19, 7140, 330, 334, 14025, 7471, 1014, 19, 204, 268, 2073, 322, 325, 330, 334, 3392, 2073, 19, 204, 264, 320, 204, 264, 314, 5730, 348, 275, 537, 1242, 311, 444, 9455, 204, 264, 537, 68, 1993, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 6452, 3063, 204, 264, 1179, 204, 264, 314, 38406, 275, 537, 1242, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 537, 68, 1993, 14, 204, 264, 314, 10155, 685, 275, 537, 1242, 440, 275, 2073, 204, 264, 537, 68, 1993, 19, 3345, 68, 3261, 13, 6452, 14, 204, 204, 264, 314, 5730, 348, 275, 24435, 311, 444, 9455, 204, 264, 24435, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 9837, 5995, 2036, 3063, 204, 264, 1179, 204, 264, 314, 38406, 275, 24435, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 24435, 14, 204, 264, 314, 8731, 275, 24435, 204, 264, 24435, 19, 4357, 374, 204, 204, 264, 314, 5730, 348, 275, 10499, 2963, 311, 444, 9455, 204, 264, 10499, 68, 2947, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 32024, 15767, 3063, 204, 264, 1179, 204, 264, 314, 38406, 275, 10499, 2963, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 10499, 68, 2947, 14, 204, 264, 314, 8731, 275, 10499, 2963, 204, 264, 10499, 68, 2947, 19, 4357, 374, 204, 204, 461, 7070, 68, 654, 13, 2127, 31, 4942, 19, 7140, 14, 393, 443, 31, 204, 264, 320, 204, 264, 13924, 275, 798, 19, 204, 204, 264, 457, 31, 204, 268, 3175, 322, 5554, 19, 7140, 330, 334, 14025, 7471, 1014, 19, 204, 264, 320, 204, 264, 314, 5730, 348, 275, 7070, 2963, 311, 444, 9455, 204, 264, 7070, 68, 2947, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 14507, 68, 16355, 17, 388, 2947, 19, 14323, 3687, 204, 264, 1179, 204, 264, 314, 38406, 275, 7070, 2963, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 7070, 68, 2947, 14, 204, 264, 314, 8731, 275, 7070, 2963, 204, 264, 7070, 68, 2947, 19, 4357, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 717, 1014, 302, 275, 7099, 3175, 204, 268, 3175, 289, 4942, 19, 7140, 374, 204, 268, 314, 11454, 311, 275, 10572, 204, 268, 12136, 68, 633, 68, 27593, 13, 2127, 14, 204, 268, 314, 5730, 348, 275, 537, 700, 311, 444, 9455, 204, 268, 537, 68, 876, 68, 1849, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 305, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 768, 68, 876, 3063, 204, 268, 1179, 204, 268, 314, 763, 275, 537, 700, 204, 268, 537, 68, 876, 289, 421, 13, 768, 68, 876, 68, 1849, 19, 492, 14, 204, 268, 314, 888, 275, 2073, 204, 268, 2073, 289, 949, 68, 6452, 13, 768, 68, 876, 14, 204, 268, 314, 10155, 685, 275, 798, 440, 275, 2073, 204, 268, 5233, 68, 607, 68, 654, 13, 2127, 17, 2073, 14, 204, 268, 314, 13924, 275, 798, 204, 268, 7070, 68, 654, 13, 2127, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1198, 1169, 2744, 496, 1336, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 264, 6666, 31, 204, 268, 314, 5730, 348, 2153, 3331, 2518, 47909, 275, 3175, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 690, 19, 4867, 13, 1909, 14, 204, 268, 314, 15655, 275, 3175, 204, 268, 3175, 19, 8289, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 5681, 6695, 2804, 6976, 2115, 22318, 490, 353, 2323, 6296, 348, 6757, 311, 2566, 1475, 311, 273, 690, 18, 607, 2817, 17, 758, 273, 9869, 17, 329, 1330, 275, 690, 353, 719, 2512, 1475, 311, 3891, 1818, 329, 5157, 275, 1627, 19, 8624, 2666, 17, 448, 2804, 529, 8386, 299, 2545, 2312, 311, 690, 18, 607, 17, 808, 618, 36193, 316, 1025, 5805, 3171, 16599, 17, 12637, 6757, 440, 4260, 273, 11373, 3171, 22274, 1194, 275, 2171, 6137, 32783, 10948, 17, 521, 14694, 5501, 497, 275, 8642, 31371, 329, 29043, 19, 204, 3103, 18, 607, 867, 15975, 7001, 448, 273, 2140, 9037, 311, 1573, 1378, 299, 521, 16259, 281, 25983, 19, 1547, 867, 7784, 311, 444, 690, 18, 607, 497, 2140, 30609, 19, 1547, 867, 6202, 13379, 311, 3472, 3161, 798, 302, 25983, 19, 3242, 20948, 884, 88, 874, 15101, 275, 16544, 1536, 5581, 302, 690, 18, 607, 17, 329, 448, 572, 529, 3100, 1182, 1465, 1656, 4383, 17, 490, 353, 4199, 496, 690, 18, 607, 869, 2917, 6126, 523, 2804, 17, 329, 5680, 3100, 7336, 497, 17140, 8881, 292, 690, 18, 607, 19, 24927, 42312, 20398, 17, 273, 20948, 523, 5875, 4383, 17, 8635, 1704, 12074, 496, 17, 1330, 11188, 32621, 17, 690, 18, 607, 353, 9882, 292, 275, 5875, 275, 1729, 2501, 496, 6015, 11268, 353, 9882, 19, 204, 5039, 1182, 3793, 329, 5384, 7336, 685, 1465, 1656, 4383, 572, 2379, 496, 7553, 8881, 5501, 311, 690, 18, 607, 1330, 1250, 529, 6976, 2115, 77, 3333, 17, 1330, 572, 24475, 497, 1475, 630, 273, 690, 302, 9422, 17, 9211, 4238, 2075, 1250, 7051, 1519, 1330, 1250, 529, 11877, 685, 17, 928, 353, 1727, 19, 12817, 292, 690, 18, 607, 529, 508, 8993, 1465, 2075, 1250, 3756, 9263, 19, 3433, 529, 508, 19249, 447, 47625, 1070, 1662, 1250, 618, 11564, 1017, 6137, 329, 770, 4037, 1682, 690, 19, 3682, 18, 607, 1583, 508, 2652, 275, 6137, 496, 7550, 8881, 2312, 1422, 292, 275, 1043, 2481, 17, 329, 490, 1583, 9430, 311, 11524, 2804, 275, 6173, 1250, 1519, 311, 2652, 6137, 754, 1250, 618, 770, 4037, 5751, 4533, 19, 3682, 18, 607, 353, 273, 13273, 5910, 496, 1583, 508, 636, 630, 275, 6836, 302, 24910, 8749, 19, 204, 38492, 353, 8749, 19, 1547, 353, 508, 1400, 19, 5610, 6137, 353, 8784, 1382, 329, 869, 5268, 19, 4168, 572, 2379, 2075, 2077, 2804, 884, 88, 6137, 353, 34026, 572, 618, 12965, 311, 275, 1610, 302, 275, 8749, 329, 1995, 2075, 353, 4331, 19, 3065, 529, 2327, 5337, 6137, 1741, 444, 34026, 31, 794, 2532, 5252, 17, 794, 3838, 336, 6173, 17, 521, 794, 41206, 370, 18, 2141, 1745, 19, 204, 3739, 2532, 5252, 618, 444, 6015, 5252, 2090, 8881, 2545, 30015, 521, 33472, 521, 1250, 618, 444, 14840, 5252, 1273, 2804, 1519, 1182, 1727, 521, 6005, 497, 3153, 1250, 8336, 19, 1628, 3838, 336, 6173, 353, 273, 2323, 12337, 348, 36317, 6376, 329, 31389, 375, 19, 12060, 6173, 529, 11712, 17148, 329, 397, 2804, 874, 508, 11712, 4153, 6173, 572, 1120, 3020, 490, 292, 1017, 6137, 19, 1628, 41206, 370, 18, 2141, 1745, 353, 4193, 329, 2519, 292, 6695, 2804, 19, 1058, 353, 273, 9365, 496, 5178, 690, 348, 2804, 311, 4309, 329, 2390, 19, 204, 3070, 690, 18, 607, 311, 444, 273, 2140, 329, 6639, 45058, 5910, 572, 1519, 311, 444, 44977, 311, 2804, 329, 2506, 690, 338, 607, 448, 273, 690, 348, 401, 6492, 329, 9328, 12890, 884, 88, 5252, 19, 40410, 690, 18, 607, 17, 8993, 496, 2804, 1120, 4368, 490, 685, 1335, 18282, 9999, 353, 5585, 45058, 497, 275, 5378, 19, 204, 23320, 545, 690, 18, 17541, 1696, 1605, 3420, 3214, 31, 204, 18, 1687, 5501, 497, 275, 8642, 329, 1340, 1214, 1656, 636, 27484, 19, 31742, 299, 17, 6432, 6497, 12444, 88, 4430, 17, 521, 18282, 19249, 447, 529, 830, 14359, 292, 5202, 311, 273, 2481, 302, 27484, 19, 1785, 2950, 1307, 7883, 275, 904, 3214, 17, 572, 2950, 11524, 3119, 8881, 529, 27484, 19, 204, 18, 22427, 2075, 353, 6186, 523, 2317, 1622, 5399, 353, 2075, 382, 10946, 19276, 329, 490, 353, 508, 38124, 3582, 204, 18, 39224, 273, 717, 9365, 521, 1895, 273, 3478, 348, 18120, 1818, 1025, 275, 8642, 19, 204, 18, 6351, 1360, 329, 14973, 2804, 311, 1307, 1818, 685, 329, 810, 2528, 2317, 1622, 46, 2379, 872, 618, 770, 808, 17, 872, 884, 272, 273, 4382, 12890, 3582, 204, 1252, 266, 6921, 19, 16211, 19, 10693, 19, 828, 2804, 1307, 1818, 685, 329, 770, 4382, 440, 1017, 6137, 29909, 275, 717, 2140, 6137, 1250, 529, 21381, 292, 19, 4168, 2804, 1307, 1818, 685, 329, 9437, 275, 2917, 6137, 17, 9561, 275, 1656, 1818, 685, 17, 6926, 598, 1475, 497, 275, 8642, 329, 9437, 275, 9116, 302, 275, 717, 9365, 521, 13133, 1182, 690, 440, 370, 18, 2141, 1745, 2518, 7553, 1475, 685, 311, 810, 1051, 1182, 690, 19, 828, 2804, 529, 3848, 28166, 1877, 572, 9437, 275, 9116, 1352, 1250, 1741, 1519, 311, 444, 4123, 336, 311, 3161, 4801, 348, 3303, 19, 828, 1250, 2950, 444, 4123, 336, 17, 6757, 1741, 1519, 311, 1136, 275, 790, 4801, 521, 8720, 275, 1643, 521, 1370, 672, 19, 6046, 6044, 6976, 28909, 1741, 444, 34026, 17, 1622, 46, 770, 508, 874, 275, 6173, 329, 808, 353, 2842, 4440, 5027, 1629, 3303, 3582, 204, 14703, 4925, 353, 273, 690, 348, 3100, 329, 4461, 23233, 7336, 440, 3100, 19, 11453, 4263, 448, 6757, 353, 508, 1465, 5701, 3326, 1048, 2077, 2804, 1101, 6216, 311, 1340, 2804, 2390, 275, 6173, 1250, 1519, 311, 444, 10048, 329, 2707, 292, 3307, 19, 19081, 1605, 6173, 5178, 690, 17, 2886, 17, 23942, 17, 329, 19720, 19, 3242, 2804, 529, 9104, 329, 5343, 6173, 9356, 496, 8160, 7597, 19, 16399, 299, 353, 1182, 1194, 5202, 2804, 311, 28441, 4037, 19, 29548, 6137, 353, 34866, 319, 523, 275, 3633, 572, 874, 440, 2077, 2804, 19, 8800, 45058, 4442, 6, 0, 315, 204, 19619, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3467, 348, 275, 1464, 3146, 19, 204, 204, 1834, 3467, 3416, 719, 275, 1464, 3146, 17, 928, 3629, 437, 11216, 15349, 348, 275, 346, 8992, 23119, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 204, 647, 2454, 204, 204, 461, 3219, 68, 396, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 1464, 3146, 19, 204, 204, 264, 1058, 741, 26402, 275, 1464, 3146, 17, 2864, 1163, 3688, 329, 6127, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 968, 3146, 3688, 204, 268, 3146, 68, 4591, 289, 463, 204, 305, 388, 417, 559, 388, 396, 528, 204, 305, 388, 2256, 559, 388, 21, 19, 22, 18, 4548, 528, 204, 305, 388, 2749, 559, 388, 11630, 10638, 15349, 348, 275, 346, 8992, 23119, 528, 204, 305, 388, 5515, 68, 2749, 559, 388, 38, 10660, 2342, 302, 275, 3146, 528, 204, 305, 388, 4020, 559, 388, 10357, 4014, 528, 204, 305, 388, 4020, 68, 2302, 559, 388, 7941, 19, 2302, 37, 2569, 19, 1453, 528, 204, 305, 388, 12477, 559, 388, 72, 861, 1464, 11216, 15349, 528, 204, 305, 388, 19994, 559, 551, 204, 485, 388, 24970, 10352, 5997, 571, 338, 22499, 528, 204, 485, 388, 30237, 28468, 5997, 35507, 528, 204, 485, 388, 19086, 5997, 28482, 28007, 5997, 20610, 11357, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 27, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 28, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 29, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 30, 528, 204, 305, 7241, 204, 305, 388, 9290, 559, 3134, 396, 2869, 204, 305, 388, 5207, 68, 11729, 559, 388, 17823, 24, 19, 27, 7, 204, 268, 1211, 204, 204, 268, 314, 1359, 719, 275, 3146, 204, 268, 3219, 7680, 4780, 68, 4591, 14, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 3219, 2744, 204, 268, 456, 13, 75, 7, 596, 5465, 719, 3146, 31, 463, 74, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2466, 275, 3219, 741, 204, 264, 3219, 68, 396, 68, 4780, 374, 204, 0, 647, 10697, 448, 3347, 204, 531, 10697, 532, 15295, 3873, 204, 531, 34337, 532, 29829, 204, 531, 8982, 532, 8982, 204, 204, 676, 36632, 11868, 31, 204, 264, 320, 204, 264, 332, 4607, 348, 275, 11029, 1470, 19, 204, 204, 264, 1532, 31, 204, 268, 2260, 322, 7882, 330, 334, 2260, 2158, 19, 204, 268, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 2023, 322, 16996, 330, 334, 4607, 2023, 19, 204, 268, 8982, 322, 655, 330, 332, 458, 302, 4607, 8982, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 31, 3347, 19, 7882, 17, 11029, 330, 204, 268, 320, 204, 268, 1865, 275, 11029, 4607, 19, 204, 204, 268, 457, 31, 204, 305, 2260, 322, 7882, 330, 334, 2260, 2158, 19, 204, 305, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 320, 204, 268, 370, 19, 3619, 289, 2260, 204, 268, 370, 19, 15892, 289, 11029, 204, 268, 370, 19, 2435, 289, 2260, 19, 43937, 68, 2435, 374, 204, 268, 370, 19, 2757, 289, 2260, 19, 43937, 68, 2757, 374, 204, 268, 370, 19, 1669, 289, 3347, 19, 16996, 13, 327, 19, 3619, 17, 2198, 34, 327, 19, 2435, 17, 1853, 34, 327, 19, 2757, 802, 1233, 17, 13452, 1022, 8683, 431, 204, 268, 370, 19, 12766, 289, 1306, 204, 204, 268, 314, 1385, 2388, 204, 268, 370, 19, 2936, 289, 463, 204, 305, 388, 30633, 68, 398, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 30633, 398, 19, 18602, 3186, 204, 305, 388, 4046, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 4046, 19, 18602, 3186, 204, 305, 388, 18705, 898, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 18705, 898, 19, 18602, 3186, 204, 305, 388, 7760, 280, 898, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 7760, 280, 19, 18602, 3186, 204, 305, 388, 7142, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 7142, 24845, 19, 18602, 3186, 204, 305, 388, 83, 573, 574, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 83, 573, 574, 19, 18602, 3186, 204, 305, 388, 13980, 68, 8289, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 13980, 46282, 19, 18602, 431, 204, 268, 1211, 204, 204, 268, 314, 666, 8982, 204, 268, 370, 19, 30633, 68, 398, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 17, 1354, 34, 327, 19, 30633, 68, 398, 14, 204, 268, 370, 19, 4046, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 17, 1354, 34, 327, 19, 4046, 14, 204, 268, 370, 19, 18705, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 17, 1354, 34, 327, 19, 18705, 898, 14, 204, 268, 370, 19, 7142, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 14, 204, 204, 268, 370, 19, 12766, 19, 6683, 1568, 327, 19, 30633, 68, 398, 68, 2947, 17, 370, 19, 4046, 68, 2947, 17, 370, 19, 18705, 68, 2947, 17, 370, 19, 7142, 68, 2947, 694, 204, 204, 264, 436, 2037, 13, 327, 330, 204, 268, 320, 204, 268, 10616, 275, 11029, 4607, 19, 204, 268, 320, 204, 268, 314, 6153, 8982, 204, 268, 370, 19, 30633, 68, 398, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 30633, 68, 398, 3808, 204, 268, 370, 19, 30633, 68, 398, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 17, 18341, 34, 21, 14, 204, 204, 268, 370, 19, 4046, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 4046, 3808, 204, 268, 370, 19, 4046, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 19, 1845, 3699, 17, 18341, 34, 21, 14, 204, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 18705, 898, 31, 204, 305, 370, 19, 18705, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 18705, 898, 3808, 204, 268, 902, 31, 204, 305, 370, 19, 18705, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 7760, 280, 898, 3808, 204, 268, 370, 19, 18705, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 19, 3894, 23, 17, 18341, 34, 21, 14, 204, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 31, 204, 305, 370, 19, 7142, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 7142, 2869, 1354, 34, 327, 19, 7142, 68, 2588, 14, 204, 268, 902, 31, 204, 305, 370, 19, 7142, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 83, 573, 574, 3808, 204, 268, 370, 19, 7142, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 19, 4553, 22, 17, 18341, 34, 21, 14, 204, 204, 268, 314, 10806, 2023, 204, 268, 370, 19, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 19222, 14, 204, 204, 264, 436, 5190, 68, 398, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 5190, 719, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 666, 8184, 12363, 8320, 204, 268, 5190, 68, 398, 68, 5321, 289, 29829, 19, 17566, 3940, 13, 327, 19, 15892, 19, 1669, 14, 204, 268, 5190, 68, 398, 68, 5321, 19, 3377, 68, 398, 68, 1669, 19, 1510, 68, 935, 13, 21, 17, 500, 17, 752, 34, 327, 19, 2936, 1166, 13980, 68, 8289, 2869, 12205, 34, 4111, 19, 45156, 14, 204, 268, 8184, 68, 8289, 68, 10897, 289, 30225, 46282, 12950, 13, 30633, 68, 398, 68, 5321, 17, 370, 19, 15892, 17, 1384, 93, 40960, 11165, 17, 18341, 40960, 3534, 14, 204, 268, 8982, 19, 3882, 6059, 13, 30633, 68, 398, 68, 5321, 17, 1384, 93, 40960, 3534, 17, 18341, 40960, 3534, 14, 204, 204, 264, 436, 1640, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 1640, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 3594, 1640, 204, 268, 370, 19, 15892, 19, 4046, 19, 1510, 68, 935, 13, 327, 19, 15892, 19, 1669, 17, 370, 19, 2435, 17, 370, 19, 2757, 14, 204, 204, 264, 436, 8810, 898, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 8810, 898, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 22874, 898, 2061, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 18705, 898, 31, 204, 305, 370, 19, 15892, 19, 3280, 19, 18705, 898, 4922, 368, 204, 305, 397, 370, 19, 15892, 19, 3280, 19, 18705, 898, 2186, 500, 31, 204, 485, 370, 19, 15892, 19, 3280, 19, 18705, 898, 289, 500, 204, 485, 370, 19, 2936, 1166, 18705, 898, 1339, 289, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 7760, 280, 19, 18602, 431, 204, 485, 370, 19, 18705, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 18705, 898, 3808, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 18705, 10715, 289, 959, 204, 305, 370, 19, 15892, 19, 1669, 19, 1271, 1087, 13, 327, 19, 15892, 19, 3280, 19, 1229, 19, 935, 17, 5233, 24653, 30, 4832, 43305, 431, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 289, 370, 19, 15892, 19, 29641, 19, 2017, 68, 15084, 13, 21, 17, 370, 19, 15892, 19, 29641, 19, 3173, 17, 500, 17, 370, 19, 15892, 19, 29641, 19, 6103, 14, 204, 305, 370, 19, 15892, 19, 3280, 19, 93, 289, 370, 19, 15892, 19, 3280, 19, 1229, 19, 93, 204, 305, 370, 19, 15892, 19, 3280, 19, 94, 289, 370, 19, 15892, 19, 3280, 19, 1229, 19, 94, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 14049, 289, 959, 204, 305, 370, 19, 15892, 19, 1669, 19, 2756, 13, 327, 19, 15892, 19, 3280, 19, 935, 14, 204, 305, 370, 19, 15892, 19, 3280, 19, 747, 1292, 13, 327, 19, 15892, 19, 1669, 17, 370, 19, 15892, 19, 3199, 68, 93, 17, 370, 19, 15892, 19, 3199, 68, 94, 14, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 18705, 10715, 289, 959, 204, 305, 370, 19, 15892, 19, 1669, 19, 1271, 1087, 13, 327, 19, 15892, 19, 3280, 19, 1229, 19, 935, 17, 5233, 24653, 30, 4832, 43305, 431, 204, 305, 370, 19, 3619, 19, 2045, 374, 204, 204, 264, 436, 7264, 68, 2588, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 7264, 24845, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 8715, 24845, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 31, 204, 305, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 4922, 368, 204, 305, 397, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 2186, 500, 31, 204, 485, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 289, 500, 204, 485, 370, 19, 2936, 1166, 7142, 1339, 289, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 83, 573, 574, 19, 18602, 431, 204, 485, 370, 19, 7142, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 7142, 3808, 204, 305, 348, 1237, 292, 370, 19, 15892, 19, 29641, 19, 2706, 31, 204, 485, 348, 7012, 292, 1237, 31, 204, 895, 7012, 19, 14049, 289, 1078, 204, 895, 7012, 19, 74, 14049, 289, 1078, 204, 895, 7012, 19, 696, 7098, 289, 1078, 204, 895, 7012, 19, 18705, 10715, 289, 1078, 204, 305, 348, 8821, 292, 370, 19, 15892, 19, 29641, 19, 33468, 31, 204, 485, 8821, 19, 17036, 289, 1078, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 14049, 289, 959, 204, 305, 348, 8821, 292, 370, 19, 15892, 19, 29641, 19, 33468, 31, 204, 485, 8821, 19, 1229, 19, 74, 14049, 289, 959, 204, 305, 370, 19, 15892, 19, 747, 1292, 374, 204, 204, 676, 30225, 46282, 12950, 13, 12766, 19, 12950, 6059, 330, 204, 264, 320, 204, 264, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 332, 18082, 2963, 348, 275, 8184, 12363, 8320, 19, 204, 204, 264, 1532, 31, 204, 268, 2260, 31, 334, 2260, 2158, 19, 204, 268, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 1384, 93, 322, 996, 330, 334, 4785, 610, 1502, 19, 204, 268, 18341, 322, 996, 330, 334, 4785, 469, 1502, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 17, 11029, 17, 1384, 93, 31, 818, 289, 500, 17, 18341, 31, 818, 289, 500, 330, 204, 268, 320, 204, 268, 1865, 275, 8184, 12363, 18082, 2963, 19, 204, 204, 268, 457, 31, 204, 305, 2260, 31, 334, 2260, 2158, 19, 204, 305, 11029, 31, 334, 11029, 1470, 726, 19, 204, 305, 1384, 93, 322, 996, 17, 1448, 330, 334, 4785, 610, 1502, 19, 1243, 311, 500, 19, 204, 305, 18341, 322, 996, 17, 1448, 330, 334, 4785, 469, 1502, 19, 1243, 311, 500, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 3619, 17, 1384, 93, 34, 2024, 93, 17, 18341, 34, 272, 447, 14, 204, 268, 370, 19, 15892, 289, 11029, 204, 268, 370, 19, 1957, 289, 443, 204, 268, 370, 19, 4046, 289, 443, 204, 204, 264, 436, 6137, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 666, 8184, 12363, 8320, 204, 268, 370, 19, 1957, 289, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 72, 86, 75, 19, 18602, 431, 204, 268, 28877, 4540, 289, 29829, 19, 17566, 3940, 13, 327, 19, 3619, 19, 3619, 14, 204, 268, 28877, 4540, 19, 3377, 68, 398, 68, 1669, 19, 1510, 68, 935, 13, 21, 17, 500, 17, 752, 34, 327, 19, 1957, 17, 12205, 34, 4111, 19, 45156, 14, 204, 268, 5847, 68, 8289, 68, 10897, 289, 21313, 46282, 12950, 13, 10815, 4540, 17, 370, 19, 15892, 17, 2617, 11165, 17, 2617, 3534, 14, 204, 268, 370, 19, 4046, 289, 3347, 19, 6059, 13, 10815, 4540, 19, 3377, 68, 398, 68, 1669, 17, 1354, 34, 327, 19, 15892, 19, 5386, 19, 4046, 14, 204, 268, 370, 19, 4046, 19, 1087, 13, 935, 34, 327, 19, 15892, 19, 5386, 19, 2936, 1166, 4046, 3808, 204, 268, 370, 19, 4046, 19, 1721, 13, 2024, 93, 40960, 35936, 17, 18341, 40960, 3534, 14, 204, 268, 8982, 19, 3882, 6059, 13, 10815, 4540, 17, 1384, 93, 40960, 3534, 17, 18341, 40960, 3534, 14, 204, 204, 676, 21313, 46282, 12950, 13, 12766, 19, 12950, 6059, 330, 204, 264, 320, 204, 264, 332, 18082, 2963, 348, 275, 5847, 12363, 8320, 19, 204, 204, 264, 1532, 31, 204, 268, 2260, 31, 334, 2260, 2158, 19, 204, 268, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 610, 322, 996, 330, 334, 610, 1502, 19, 204, 268, 469, 322, 996, 330, 334, 469, 1502, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 17, 11029, 17, 610, 17, 469, 330, 204, 268, 320, 204, 268, 1865, 275, 5847, 12363, 18082, 2963, 19, 204, 204, 268, 457, 31, 204, 305, 2260, 31, 334, 2260, 2158, 19, 204, 305, 11029, 31, 334, 11029, 1470, 726, 19, 204, 305, 610, 31, 334, 610, 1502, 19, 204, 305, 469, 31, 334, 469, 1502, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 3619, 17, 1384, 93, 34, 93, 17, 18341, 34, 94, 14, 204, 268, 370, 19, 15892, 289, 11029, 204, 204, 264, 436, 6137, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 15655, 1470, 204, 268, 456, 499, 7351, 31, 6277, 370, 19, 15892, 19, 2201, 14, 204, 268, 456, 499, 3753, 6457, 31, 6277, 370, 19, 15892, 19, 3280, 19, 43914, 14, 204, 268, 370, 19, 15892, 19, 18990, 374, 204, 268, 370, 19, 15892, 19, 4187, 289, 1078, 204, 268, 6924, 370, 19, 15892, 204, 0, 647, 1437, 204, 531, 1437, 532, 2839, 204, 531, 1437, 532, 13783, 448, 412, 204, 204, 676, 297, 40, 39903, 33133, 1655, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 6071, 297, 40, 39903, 6063, 3272, 19, 204, 204, 264, 457, 31, 204, 268, 8097, 322, 996, 330, 17833, 348, 9077, 3272, 204, 268, 16295, 322, 996, 330, 16295, 700, 204, 204, 264, 14924, 31, 204, 268, 338, 4429, 31, 19429, 68, 481, 322, 14514, 17, 346, 17, 552, 17, 595, 17, 412, 14, 204, 268, 338, 3215, 31, 36076, 13, 33222, 31, 322, 14514, 17, 346, 17, 552, 17, 595, 17, 412, 659, 2233, 31, 322, 14514, 17, 346, 17, 552, 17, 595, 17, 412, 602, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 8097, 31, 818, 289, 571, 2458, 16295, 31, 818, 289, 500, 19, 3222, 330, 204, 268, 320, 204, 268, 1865, 275, 297, 40, 39903, 2413, 19, 204, 204, 268, 457, 31, 204, 305, 8097, 322, 996, 330, 17833, 348, 9077, 3272, 204, 305, 16295, 322, 996, 330, 16295, 700, 204, 268, 320, 204, 268, 2234, 3853, 924, 6203, 204, 268, 314, 1974, 273, 1182, 11100, 1554, 588, 5976, 302, 379, 3907, 12, 204, 268, 370, 19, 9655, 68, 8053, 68, 6854, 289, 1437, 19, 2606, 19, 11427, 13, 3109, 19, 3116, 13, 3907, 602, 204, 268, 314, 6676, 275, 16295, 448, 273, 5668, 311, 4516, 490, 2545, 273, 3918, 204, 268, 370, 19, 4216, 68, 6437, 611, 23760, 68, 876, 491, 1437, 19, 3116, 13, 23760, 602, 204, 204, 264, 436, 906, 3446, 68, 33222, 13, 327, 17, 19429, 68, 481, 31, 1437, 19, 1556, 17, 5665, 68, 9677, 31, 818, 14, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 3989, 275, 10879, 348, 275, 36076, 3272, 19, 204, 204, 268, 457, 31, 204, 305, 19429, 68, 481, 322, 3109, 19, 1556, 330, 47317, 424, 204, 305, 5665, 68, 9677, 322, 996, 330, 28337, 6063, 700, 204, 204, 268, 475, 31, 204, 305, 1437, 19, 1556, 31, 852, 25217, 204, 268, 320, 204, 268, 314, 1255, 5665, 6063, 311, 275, 19429, 424, 204, 268, 19429, 68, 481, 68, 2004, 68, 9409, 289, 19429, 68, 481, 465, 5665, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 9677, 204, 268, 314, 14796, 324, 275, 1019, 311, 4516, 4854, 560, 2962, 204, 268, 19429, 68, 481, 68, 2004, 68, 9409, 19, 32314, 11662, 885, 34, 22, 19, 21, 14, 204, 268, 314, 888, 275, 10879, 204, 268, 10879, 289, 322, 45297, 68, 481, 68, 2004, 68, 9409, 338, 370, 19, 23760, 68, 876, 14, 802, 370, 19, 9655, 68, 8053, 68, 6854, 204, 268, 407, 10879, 204, 204, 264, 436, 4533, 13, 327, 17, 19429, 68, 481, 31, 1437, 19, 1556, 17, 5665, 68, 9677, 31, 818, 14, 393, 412, 19, 23866, 31, 204, 268, 320, 204, 268, 6071, 275, 297, 40, 39903, 6063, 3272, 19, 204, 204, 268, 457, 31, 204, 305, 19429, 68, 481, 322, 3109, 19, 1556, 330, 47317, 424, 204, 305, 5665, 68, 9677, 322, 996, 330, 28337, 6063, 700, 204, 204, 268, 475, 31, 204, 305, 412, 19, 23866, 31, 297, 40, 39903, 6063, 3272, 204, 268, 320, 204, 268, 314, 888, 275, 10879, 204, 268, 10879, 289, 370, 806, 3446, 68, 33222, 13, 45297, 68, 481, 17, 5665, 68, 9677, 14, 204, 268, 314, 666, 273, 36076, 3272, 440, 275, 3392, 10879, 329, 2233, 204, 268, 19429, 68, 8053, 289, 412, 19, 23866, 13, 33222, 34, 33222, 17, 2233, 34, 22, 802, 370, 19, 9655, 68, 8053, 68, 6854, 14, 204, 268, 407, 19429, 68, 8053, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 297, 40, 39903, 33133, 1655, 204, 264, 6063, 68, 809, 289, 297, 40, 39903, 33133, 1655, 13, 3907, 34, 24, 19, 21, 17, 16295, 34, 21, 19, 3222, 14, 204, 615, 264, 314, 666, 1429, 19429, 424, 204, 264, 19429, 68, 481, 289, 1437, 19, 9054, 13, 22, 17, 571, 17, 7328, 17, 7328, 17, 368, 14, 204, 615, 264, 314, 666, 1429, 5665, 6063, 204, 264, 5665, 68, 9677, 289, 500, 19, 22, 204, 615, 264, 314, 2069, 275, 297, 40, 39903, 6063, 3272, 204, 264, 6063, 68, 8053, 289, 6063, 68, 809, 13, 45297, 68, 481, 17, 5665, 68, 9677, 14, 204, 615, 264, 314, 1198, 275, 10879, 329, 2233, 302, 275, 6063, 3272, 204, 264, 456, 499, 1046, 25217, 2180, 6063, 68, 8053, 19, 33222, 14, 204, 264, 456, 499, 16121, 2180, 6063, 68, 8053, 19, 1949, 14, 204, 0, 777, 4290, 392, 2265, 916, 311, 24720, 322, 51, 3316, 13593, 204, 204, 673, 3239, 392, 2265, 916, 311, 24720, 322, 51, 3316, 14, 353, 275, 542, 302, 6396, 496, 1519, 311, 444, 12331, 311, 5068, 1051, 4916, 5726, 5889, 17, 1702, 448, 5741, 521, 16078, 19, 204, 204, 777, 37077, 777, 204, 204, 1449, 949, 275, 392, 3316, 17, 872, 1519, 311, 2379, 275, 24870, 21151, 38793, 322, 1801, 55, 789, 334, 392, 3316, 353, 275, 6276, 302, 275, 12531, 55, 31, 204, 204, 51, 3316, 289, 368, 20, 1801, 55, 204, 204, 11142, 12531, 55, 289, 346, 1053, 322, 13773, 7325, 12430, 14, 2317, 471, 1053, 322, 22267, 281, 7325, 12430, 14, 204, 204, 777, 5063, 777, 204, 204, 3719, 273, 5519, 16500, 275, 4190, 302, 273, 5726, 5889, 497, 2753, 10, 311, 2468, 12653, 275, 12531, 55, 353, 31, 204, 204, 1801, 55, 289, 346, 1053, 2317, 471, 1053, 289, 500, 19, 26, 2317, 500, 19, 24, 289, 500, 19, 23, 322, 1036, 15408, 204, 204, 4356, 17, 275, 392, 3316, 353, 31, 204, 204, 51, 3316, 289, 368, 20, 1801, 55, 289, 368, 20, 21, 19, 23, 289, 720, 204, 204, 1834, 3210, 496, 720, 6396, 1519, 311, 444, 12331, 311, 5068, 1051, 4916, 5726, 5889, 19, 204, 204, 777, 30784, 41954, 39381, 311, 392, 3316, 88, 777, 204, 204, 673, 2089, 348, 10657, 41954, 39381, 322, 1452, 88, 14, 311, 392, 3316, 88, 353, 31, 204, 204, 51, 3316, 289, 322, 22, 25863, 3771, 1053, 10970, 22, 18, 1452, 3694, 802, 5796, 22, 18, 3771, 1053, 20245, 3771, 1053, 20245, 22, 18, 1452, 602, 204, 204, 11142, 23119, 1053, 353, 275, 1643, 2233, 302, 275, 38678, 1627, 19, 204, 204, 777, 7131, 348, 22402, 41954, 39381, 311, 392, 3316, 88, 777, 204, 204, 38, 1435, 353, 1917, 311, 1814, 15226, 12134, 311, 392, 3316, 88, 348, 1792, 1643, 7028, 329, 15226, 12134, 19, 204, 204, 777, 5987, 18465, 344, 777, 204, 204, 673, 392, 3316, 353, 273, 7562, 3001, 302, 275, 19857, 302, 273, 5519, 19, 332, 3124, 392, 3316, 10335, 496, 275, 5519, 353, 1182, 6639, 17, 448, 14645, 6396, 1519, 311, 444, 12331, 311, 5068, 1051, 4916, 5726, 5889, 19, 0, 59, 10511, 4662, 24, 348, 329, 40200, 4238, 17, 275, 9354, 1673, 3747, 7568, 275, 11554, 21696, 3431, 34947, 430, 5102, 302, 10599, 17, 273, 6357, 496, 1784, 18198, 10889, 275, 11554, 329, 26404, 21139, 677, 13704, 1048, 8774, 496, 2906, 521, 11327, 4793, 329, 4050, 8836, 17, 2864, 22371, 19, 334, 6357, 322, 45, 19, 55, 19, 5254, 7298, 14, 1784, 4426, 12574, 302, 11342, 302, 15198, 329, 8620, 15447, 10885, 2614, 275, 548, 19, 56, 19, 521, 25875, 3117, 311, 275, 548, 19, 56, 19, 311, 4080, 22159, 440, 275, 548, 19, 56, 19, 11554, 329, 26404, 21139, 17, 311, 2761, 8213, 6718, 25049, 311, 275, 26375, 17, 329, 1784, 3397, 1475, 311, 1182, 11899, 17, 15042, 19323, 1027, 329, 4426, 6863, 7935, 311, 5068, 26163, 19, 334, 6357, 4658, 275, 26375, 3114, 2347, 311, 9735, 27407, 8836, 329, 311, 27951, 26824, 275, 15447, 496, 7758, 1475, 19, 322, 11594, 275, 6357, 1784, 444, 26549, 3531, 7285, 560, 6718, 329, 25078, 25049, 17, 490, 7987, 348, 4916, 378, 36103, 8061, 657, 17064, 630, 686, 23, 11002, 1048, 5544, 2181, 19, 1179, 204, 29037, 292, 275, 3747, 17, 275, 6357, 18665, 1168, 11548, 3697, 17, 1101, 273, 1350, 9148, 6900, 719, 440, 4916, 2886, 19, 334, 6357, 869, 6167, 275, 3117, 7561, 19, 334, 501, 19929, 40601, 17990, 12496, 17, 273, 3117, 7561, 1627, 17, 869, 3891, 685, 292, 2886, 302, 275, 20187, 17, 13815, 490, 15802, 301, 275, 1627, 884, 88, 3346, 8660, 1465, 3117, 8820, 19, 8624, 14724, 17, 5862, 17, 874, 46423, 275, 717, 5035, 19, 334, 20187, 1425, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30678, 311, 15774, 275, 26375, 677, 7103, 311, 9034, 275, 5576, 302, 3507, 32609, 3117, 5187, 273, 12479, 6248, 292, 5411, 3117, 43416, 5187, 292, 275, 1643, 302, 437, 19806, 302, 3117, 18, 23813, 14759, 19, 26375, 15268, 270, 6834, 19, 39242, 332, 19, 552, 3095, 33437, 869, 3891, 685, 292, 2886, 302, 275, 6357, 19, 204, 12695, 896, 29253, 302, 275, 6357, 31, 204, 18, 26375, 19323, 1027, 302, 3117, 15447, 1784, 2931, 497, 448, 2296, 1667, 319, 448, 5602, 2589, 931, 2181, 311, 22159, 348, 2223, 18, 17229, 15447, 329, 630, 3406, 5602, 2589, 571, 2181, 348, 15447, 34131, 273, 3124, 4190, 19, 791, 18859, 334, 26375, 2549, 39009, 275, 9735, 302, 3507, 32609, 8836, 17, 5976, 302, 40420, 523, 3117, 31188, 311, 9561, 2696, 2241, 515, 9871, 19, 204, 18, 26375, 1784, 636, 13704, 311, 758, 11266, 348, 7399, 5627, 302, 3117, 523, 22371, 17, 448, 2590, 448, 4426, 3117, 22638, 311, 7116, 717, 2824, 8820, 11266, 19, 204, 18, 552, 14663, 1784, 7260, 717, 6309, 311, 444, 1376, 560, 3117, 41862, 17, 22638, 329, 6080, 1288, 311, 3822, 275, 5576, 302, 3117, 329, 1163, 6438, 1924, 275, 8459, 5649, 19, 0, 531, 1907, 19, 11761, 532, 2111, 17, 4123, 17, 636, 68, 1386, 68, 276, 68, 7793, 204, 531, 1907, 19, 4280, 19, 15516, 19, 1942, 532, 4426, 68, 4252, 204, 531, 10555, 19, 1618, 532, 5310, 204, 531, 2617, 9279, 532, 12613, 204, 531, 2617, 6041, 532, 12613, 4421, 6902, 2954, 204, 204, 461, 636, 68, 9279, 13, 1443, 31, 726, 14, 393, 12613, 31, 204, 264, 320, 204, 264, 4071, 275, 6099, 726, 348, 275, 800, 824, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 12613, 31, 334, 6099, 726, 3610, 440, 275, 824, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 6099, 726, 348, 275, 800, 824, 204, 264, 407, 12613, 13, 1443, 14, 204, 204, 461, 636, 68, 2572, 13, 2572, 68, 359, 31, 421, 14, 393, 5310, 31, 204, 264, 320, 204, 264, 4071, 275, 1351, 726, 348, 275, 800, 1351, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 3686, 19, 204, 204, 264, 475, 31, 204, 268, 5310, 31, 334, 1351, 726, 440, 275, 800, 1222, 19, 204, 264, 320, 204, 264, 314, 1974, 636, 68, 1386, 68, 276, 68, 7793, 311, 2906, 2910, 1273, 275, 1351, 1583, 508, 1337, 204, 264, 407, 636, 68, 1386, 68, 276, 68, 7793, 13, 6902, 17, 1276, 34, 2572, 68, 359, 14, 204, 204, 461, 2906, 68, 9279, 68, 654, 13, 1443, 31, 726, 17, 1351, 31, 5310, 17, 1395, 68, 7871, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 275, 6099, 798, 8244, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 322, 6902, 330, 334, 1351, 311, 881, 521, 1395, 292, 275, 6099, 19, 204, 268, 1395, 68, 7871, 322, 2107, 17, 1448, 330, 2266, 311, 1395, 275, 4474, 19, 1243, 311, 1078, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 798, 1014, 440, 275, 6379, 424, 204, 264, 798, 289, 12613, 4421, 6902, 2954, 13, 1443, 19, 4252, 14, 204, 264, 397, 798, 19, 360, 68, 1018, 1293, 204, 268, 314, 763, 275, 6099, 726, 348, 275, 824, 204, 268, 6099, 289, 636, 68, 9279, 13, 1443, 14, 204, 268, 314, 1255, 521, 1395, 275, 1351, 292, 275, 6099, 204, 268, 6099, 19, 826, 13, 2572, 34, 2572, 17, 4474, 34, 654, 19, 9788, 68, 481, 736, 7871, 2043, 1395, 68, 7871, 34, 2045, 68, 7871, 14, 204, 204, 37, 9947, 68, 4252, 204, 461, 6099, 68, 826, 13, 1443, 31, 726, 17, 1351, 68, 359, 31, 421, 14, 393, 4123, 31, 204, 264, 320, 204, 264, 5276, 273, 1351, 311, 275, 6099, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 881, 19, 204, 204, 264, 475, 31, 204, 268, 4123, 31, 332, 4123, 311, 275, 6099, 7058, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1351, 726, 204, 264, 1351, 289, 636, 68, 2572, 13, 2572, 68, 359, 14, 204, 264, 314, 1426, 275, 6099, 798, 8244, 204, 264, 2906, 68, 9279, 68, 654, 13, 1443, 17, 1351, 14, 204, 264, 314, 10693, 311, 275, 6099, 7058, 1472, 204, 264, 407, 4123, 611, 9279, 31, 9279, 68, 7682, 534, 204, 204, 461, 6099, 68, 3956, 13, 1443, 31, 726, 17, 1351, 68, 359, 31, 421, 14, 393, 4123, 31, 204, 264, 320, 204, 264, 8847, 273, 1351, 497, 275, 6099, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 3142, 19, 204, 204, 264, 475, 31, 204, 268, 4123, 31, 332, 4123, 311, 275, 6099, 7058, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1351, 726, 204, 264, 1351, 289, 636, 68, 2572, 13, 2572, 68, 359, 14, 204, 264, 314, 763, 275, 6099, 726, 348, 275, 824, 204, 264, 6099, 289, 636, 68, 9279, 13, 1443, 14, 204, 264, 314, 3182, 275, 1351, 497, 275, 6099, 204, 264, 6099, 19, 3956, 13, 2572, 14, 204, 264, 314, 10693, 311, 275, 6099, 7058, 1472, 204, 264, 407, 4123, 611, 9279, 31, 9279, 68, 7682, 534, 204, 204, 461, 6099, 68, 2045, 13, 1443, 31, 726, 17, 1351, 68, 359, 31, 421, 14, 393, 4123, 31, 204, 264, 320, 204, 264, 5307, 275, 4474, 302, 273, 1351, 292, 275, 6099, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 1395, 19, 204, 204, 264, 475, 31, 204, 268, 4123, 31, 332, 4123, 311, 275, 6099, 7058, 1472, 19, 204, 264, 320, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 314, 763, 275, 1351, 726, 204, 264, 1351, 289, 636, 68, 2572, 13, 2572, 68, 359, 14, 204, 264, 314, 1426, 275, 6099, 798, 8244, 440, 1395, 68, 7871, 34, 1021, 204, 264, 2906, 68, 9279, 68, 654, 13, 1443, 17, 1351, 17, 1395, 68, 7871, 34, 1021, 14, 204, 264, 314, 10693, 311, 275, 6099, 7058, 1472, 204, 264, 407, 4123, 611, 9279, 31, 9279, 68, 7682, 534, 204, 204, 461, 6099, 68, 7682, 13, 1443, 31, 726, 14, 393, 2111, 31, 204, 264, 320, 204, 264, 10616, 275, 6099, 7058, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 2111, 31, 332, 2111, 302, 275, 6099, 7058, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 6099, 726, 348, 275, 824, 204, 264, 6099, 289, 636, 68, 9279, 13, 1443, 14, 204, 264, 314, 666, 273, 717, 798, 1014, 348, 9683, 1351, 10999, 204, 264, 6099, 68, 2572, 68, 7871, 68, 654, 289, 12613, 4421, 6902, 2954, 374, 204, 264, 314, 4784, 275, 6099, 7058, 1472, 440, 275, 6099, 329, 798, 204, 264, 407, 2111, 13, 1443, 17, 379, 9279, 20, 7682, 19, 2079, 491, 2552, 9279, 597, 6099, 17, 379, 9279, 68, 2572, 68, 7871, 68, 654, 597, 6099, 68, 2572, 68, 7871, 68, 654, 1937, 204, 0, 97, 673, 25842, 7018, 353, 7196, 1283, 275, 43317, 298, 329, 45434, 429, 8609, 302, 275, 24186, 3624, 16973, 204, 5055, 1275, 911, 9503, 10438, 302, 275, 25842, 17, 1425, 3250, 15015, 911, 9503, 10438, 521, 22144, 578, 25842, 353, 273, 370, 18, 3485, 299, 2407, 292, 928, 1422, 353, 273, 17811, 302, 275, 7086, 32830, 322, 1947, 911, 9503, 2915, 14, 302, 275, 32539, 302, 275, 25842, 7018, 19, 204, 5055, 1275, 911, 9503, 10438, 5971, 13605, 2804, 1283, 2327, 329, 7496, 2181, 3299, 322, 780, 490, 869, 1742, 8316, 292, 273, 571, 18, 4994, 18, 929, 20650, 329, 292, 10299, 789, 1547, 353, 275, 1901, 2323, 3253, 302, 16615, 25842, 7150, 329, 1515, 324, 292, 808, 2523, 1627, 19, 5166, 1286, 529, 9647, 970, 311, 3420, 2666, 448, 3667, 448, 11488, 19, 334, 4710, 3253, 353, 7843, 19, 332, 5411, 25125, 9490, 322, 4425, 10597, 437, 3482, 21657, 19103, 9490, 14, 521, 273, 23987, 874, 1742, 1722, 6839, 448, 39235, 286, 1070, 3780, 17, 9504, 1605, 529, 8316, 1698, 292, 2468, 10, 329, 720, 10, 302, 2910, 17, 8866, 19, 204, 5055, 1275, 911, 9503, 10438, 353, 273, 13810, 302, 27956, 19, 334, 13810, 618, 444, 2927, 292, 275, 13713, 5465, 302, 7150, 521, 1515, 324, 292, 273, 6695, 1656, 1415, 353, 508, 8628, 794, 9439, 329, 869, 1236, 5411, 23987, 19, 3065, 353, 273, 9122, 933, 302, 5914, 302, 275, 25842, 7018, 19, 26039, 4394, 1741, 2248, 20094, 17811, 19, 1346, 37404, 8511, 302, 275, 25842, 7018, 618, 2248, 273, 10142, 3599, 322, 10804, 3659, 789, 24813, 353, 440, 1950, 18, 274, 17054, 281, 10167, 18, 33749, 11458, 329, 9122, 2308, 18, 34501, 19, 334, 2407, 5971, 14607, 1840, 560, 5398, 2614, 10810, 311, 7496, 3054, 17, 1101, 273, 2637, 1627, 302, 6396, 1120, 3524, 311, 874, 7112, 348, 4569, 8735, 19, 334, 21368, 2233, 353, 681, 4154, 2314, 12653, 1901, 302, 928, 353, 292, 275, 1043, 6699, 5869, 19, 204, 43851, 329, 9649, 204, 5055, 1275, 911, 9503, 10438, 8095, 7150, 292, 275, 25842, 17, 377, 1267, 17, 20941, 266, 521, 28240, 523, 275, 9647, 1653, 19, 3065, 1741, 444, 273, 1515, 324, 322, 276, 904, 17912, 12773, 17, 1702, 448, 26575, 17, 292, 24405, 14, 440, 521, 2900, 7150, 19, 592, 2637, 24405, 17, 275, 31438, 27364, 618, 444, 794, 43784, 279, 17883, 322, 1538, 1763, 17, 1330, 9793, 273, 17196, 558, 789, 334, 2407, 353, 10501, 4501, 9122, 311, 1051, 1653, 19, 334, 7150, 329, 1515, 324, 618, 933, 497, 20094, 311, 11312, 19, 204, 8390, 2804, 1741, 874, 273, 13844, 7514, 3312, 32, 2223, 18940, 329, 4303, 10443, 70, 594, 917, 311, 904, 17, 1182, 9233, 4042, 19, 4161, 12803, 17878, 17, 275, 1656, 8978, 12640, 275, 25842, 13844, 32829, 17, 12098, 685, 3998, 329, 5501, 497, 275, 4876, 1007, 322, 43835, 288, 17, 8348, 5657, 329, 995, 2750, 789, 25674, 329, 25800, 12773, 1741, 444, 9122, 2404, 302, 7150, 17, 6469, 995, 2750, 329, 7599, 5657, 19, 334, 25842, 618, 444, 28039, 311, 12997, 85, 344, 19, 334, 711, 5821, 683, 5628, 37819, 19213, 275, 5641, 3124, 31775, 292, 3998, 329, 685, 3998, 440, 275, 5771, 523, 1704, 1818, 17, 311, 1356, 1330, 12559, 18522, 299, 3459, 19, 334, 794, 29285, 25842, 329, 275, 43738, 17, 437, 80, 793, 17, 5301, 329, 28285, 529, 1193, 311, 444, 2519, 19, 204, 53, 1035, 292, 521, 3332, 275, 25842, 329, 20, 276, 1515, 324, 292, 2804, 618, 444, 3913, 311, 273, 3403, 542, 302, 4042, 19, 2135, 16998, 26775, 322, 70, 22663, 9490, 302, 275, 7018, 14, 353, 275, 1901, 3287, 9309, 13810, 17, 2404, 490, 618, 9295, 3253, 19782, 28717, 7034, 311, 275, 25842, 7018, 19, 472, 1826, 17, 7514, 32505, 14627, 523, 5043, 4394, 329, 11312, 7112, 322, 266, 3423, 311, 14848, 2308, 17, 32531, 12559, 18522, 299, 14, 830, 917, 311, 414, 16998, 26775, 17, 1101, 273, 2223, 1112, 302, 44005, 6786, 3600, 2219, 397, 1605, 529, 508, 3113, 19, 650, 7477, 18523, 404, 10438, 322, 35548, 302, 275, 12790, 12184, 14, 618, 1425, 3253, 7150, 329, 1515, 324, 19, 204, 39, 389, 41878, 17, 1702, 448, 273, 36317, 1375, 677, 38989, 322, 40378, 38989, 302, 275, 691, 266, 12790, 659, 618, 1425, 3253, 7150, 329, 1515, 324, 17, 1101, 529, 34298, 3332, 275, 25842, 7018, 19, 15323, 12184, 17737, 618, 444, 22795, 1330, 43071, 1439, 529, 3113, 19, 12073, 1478, 521, 33144, 5034, 17737, 618, 444, 41199, 1882, 12292, 6015, 4801, 338, 15370, 1826, 17, 490, 353, 3287, 508, 311, 15177, 273, 30315, 3296, 3482, 43317, 13232, 4892, 28992, 3127, 1330, 1422, 869, 1742, 273, 5573, 19, 332, 20851, 507, 16094, 360, 302, 275, 43317, 13232, 1526, 322, 5274, 5779, 18, 6094, 91, 5733, 18, 53, 864, 2734, 4614, 14, 8978, 3459, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 292, 2804, 21656, 681, 4154, 29, 17, 329, 353, 1425, 1182, 2323, 292, 12494, 19, 3065, 1741, 444, 437, 1839, 3659, 523, 37404, 17, 3557, 311, 40590, 911, 9503, 10438, 19, 204, 6950, 4067, 4132, 4042, 618, 1425, 3113, 440, 273, 1515, 324, 19, 828, 27526, 21901, 85, 1253, 1257, 302, 275, 25842, 353, 26277, 4744, 292, 3307, 17, 490, 618, 3891, 311, 6005, 5287, 292, 808, 2501, 19, 34632, 292, 275, 20941, 266, 618, 1425, 444, 8077, 560, 9745, 302, 275, 20691, 292, 275, 38767, 322, 17538, 448, 273, 284, 946, 402, 7041, 620, 14, 521, 560, 683, 8365, 4614, 19, 361, 879, 447, 17, 1422, 353, 437, 11750, 28381, 27989, 4042, 322, 18699, 32523, 296, 31954, 36434, 26775, 17, 17790, 293, 26775, 17, 38787, 84, 37141, 2837, 26775, 17, 44506, 521, 12790, 14085, 580, 19, 204, 2841, 529, 1236, 758, 11266, 348, 275, 13810, 302, 29065, 40590, 911, 9503, 10438, 17, 754, 275, 1690, 302, 32143, 1120, 2979, 523, 275, 1519, 311, 10371, 904, 17, 1182, 9233, 9745, 19, 592, 4896, 649, 5376, 2072, 292, 275, 5043, 1741, 444, 13844, 7514, 322, 46401, 2255, 226, 868, 427, 295, 2298, 356, 26951, 344, 2233, 17, 346, 18, 272, 4187, 8782, 329, 5624, 5043, 2092, 1040, 659, 1101, 7514, 32505, 14627, 529, 6556, 35327, 302, 904, 1182, 9233, 4042, 1702, 448, 414, 16998, 26775, 19, 204, 61, 18, 549, 23429, 302, 275, 25842, 353, 1901, 3667, 794, 272, 2472, 578, 19, 3685, 2273, 2485, 11209, 9649, 2255, 437, 36628, 31505, 841, 323, 4691, 1499, 16868, 17, 29227, 6533, 302, 275, 7018, 2817, 17, 22805, 11492, 302, 275, 43317, 13232, 4892, 43690, 890, 440, 3776, 12294, 299, 322, 60, 281, 7090, 325, 14620, 82, 1574, 659, 21253, 31761, 25648, 16868, 17, 24310, 983, 302, 5571, 12184, 16113, 3332, 275, 25842, 7018, 521, 11992, 355, 885, 5382, 10627, 302, 275, 13719, 1828, 43317, 298, 19, 334, 667, 5127, 348, 2485, 11209, 17878, 353, 311, 10371, 308, 7113, 36048, 1702, 448, 44222, 439, 41878, 17, 30315, 3296, 3482, 43317, 13232, 4892, 28992, 3127, 521, 12790, 14085, 2483, 322, 17538, 448, 27725, 3201, 27725, 25228, 789, 1346, 273, 1537, 84, 32503, 329, 31020, 22805, 322, 49, 2854, 278, 18457, 14, 2013, 302, 275, 24186, 3624, 329, 1855, 373, 4110, 353, 20284, 578, 19, 204, 2021, 37404, 8511, 302, 275, 25842, 618, 8235, 6548, 10142, 6204, 275, 7018, 32539, 17, 9504, 808, 353, 508, 4501, 3113, 292, 40590, 911, 9503, 10438, 19, 3355, 17, 490, 2950, 8317, 8280, 21757, 1283, 414, 16998, 26775, 329, 40590, 911, 9503, 10438, 19, 828, 414, 16998, 26775, 5252, 311, 444, 26372, 685, 17, 22002, 448, 42939, 302, 275, 10142, 618, 444, 8942, 1683, 37404, 19720, 19, 592, 40590, 911, 9503, 10438, 17, 275, 7018, 10142, 1120, 444, 4199, 19, 592, 414, 16998, 26775, 17, 1422, 1120, 444, 284, 354, 292, 275, 7018, 17, 928, 618, 444, 2312, 348, 22663, 8908, 329, 30618, 17192, 19, 204, 13936, 11772, 23429, 9021, 618, 444, 1376, 397, 275, 12803, 7157, 353, 29029, 32, 275, 4710, 4263, 302, 1792, 23429, 30515, 1291, 6786, 31756, 19, 5860, 6709, 874, 18275, 12074, 523, 9364, 33853, 23429, 322, 44475, 8511, 14, 496, 618, 22340, 1283, 414, 16998, 26775, 329, 40590, 911, 9503, 10438, 322, 1538, 1763, 17, 3683, 11527, 302, 7686, 12790, 44992, 789, 36201, 34399, 819, 339, 34546, 94, 618, 444, 15491, 2519, 292, 40590, 911, 9503, 10438, 17, 329, 819, 339, 34546, 323, 12074, 770, 508, 21757, 40590, 911, 9503, 10438, 497, 904, 7018, 4042, 292, 2804, 19, 22304, 27954, 1583, 508, 6743, 14359, 19, 204, 14462, 19842, 32471, 7593, 302, 13756, 1157, 578, 25842, 204, 97, 11424, 511, 22172, 3742, 3882, 11750, 8095, 97, 204, 97, 20798, 6373, 802, 32240, 3742, 3882, 11750, 8095, 97, 204, 97, 25480, 1155, 32774, 3742, 3882, 11750, 8095, 97, 204, 97, 15180, 811, 22169, 16159, 3742, 3882, 11750, 8095, 97, 204, 97, 17601, 392, 1518, 2767, 19112, 3742, 3882, 11750, 8095, 97, 204, 97, 10981, 43754, 3742, 3882, 11750, 8095, 97, 204, 97, 11690, 281, 3742, 3882, 11750, 8095, 97, 204, 97, 44, 19680, 319, 1841, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 13529, 3807, 3742, 3882, 11750, 8095, 97, 204, 97, 45, 547, 269, 32774, 3742, 3882, 11750, 8095, 97, 204, 97, 46, 269, 14564, 323, 3742, 3882, 11750, 8095, 97, 204, 97, 837, 4273, 1750, 17561, 3742, 3882, 11750, 8095, 97, 204, 97, 34618, 544, 865, 486, 34399, 802, 37382, 84, 3742, 3882, 11750, 8095, 97, 204, 97, 6950, 4067, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 51, 312, 21569, 802, 8964, 48037, 3742, 3882, 11750, 8095, 97, 204, 97, 5824, 395, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 52, 2957, 281, 703, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 11738, 29527, 802, 2416, 10359, 516, 3742, 3882, 11750, 8095, 97, 204, 97, 53, 2018, 366, 19149, 3742, 3882, 11750, 8095, 97, 204, 97, 53, 335, 31818, 3742, 3882, 11750, 8095, 97, 204, 97, 34842, 281, 802, 34994, 447, 356, 3742, 3882, 11750, 8095, 97, 204, 97, 55, 267, 328, 802, 20522, 4761, 802, 5610, 36520, 3742, 3882, 11750, 8095, 97, 204, 97, 6714, 17523, 3742, 3882, 11750, 8095, 97, 204, 97, 48487, 40010, 3742, 3882, 11750, 8095, 97, 204, 41426, 9995, 302, 3022, 17, 1950, 18, 3374, 34501, 329, 653, 1059, 713, 375, 1330, 4331, 19, 332, 2637, 3220, 11724, 496, 275, 1950, 18, 274, 17054, 281, 10167, 18, 33749, 9680, 28899, 398, 295, 34978, 2549, 43020, 275, 4614, 3200, 322, 531, 681, 19, 26, 311, 435, 3054, 14, 329, 1308, 7150, 3326, 440, 16034, 1653, 6126, 322, 660, 447, 41927, 44511, 789, 828, 18940, 3459, 521, 275, 7112, 26484, 17, 904, 3755, 43335, 1519, 311, 444, 6028, 19, 204, 837, 275, 5378, 17, 1422, 874, 1742, 25173, 657, 1465, 2237, 23005, 1877, 40590, 911, 9503, 10438, 19, 334, 790, 23623, 5862, 353, 496, 1422, 353, 1236, 8864, 302, 437, 6863, 4190, 302, 23005, 1877, 40590, 911, 9503, 10438, 19, 204, 5842, 1702, 12650, 29065, 857, 1196, 867, 401, 25614, 4255, 70, 17, 928, 353, 437, 1048, 20947, 302, 275, 43317, 13232, 1526, 329, 9055, 6533, 302, 275, 43317, 13232, 17138, 17, 24155, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 314, 11333, 311, 3176, 275, 575, 3119, 273, 1950, 18, 4868, 782, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 268, 397, 575, 68, 768, 19, 2892, 1293, 226, 314, 778, 397, 275, 782, 353, 508, 1392, 1877, 7057, 6043, 20, 14586, 27127, 204, 305, 407, 575, 68, 768, 204, 268, 456, 20501, 8252, 744, 2982, 1308, 1429, 782, 311, 1225, 440, 431, 204, 204, 461, 636, 68, 4649, 68, 768, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 3893, 496, 490, 353, 437, 1534, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 575, 677, 537, 448, 437, 1534, 19, 204, 264, 320, 204, 264, 314, 11333, 311, 3176, 275, 575, 3119, 273, 1097, 1534, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 456, 20501, 8252, 744, 2982, 2064, 273, 1097, 1534, 431, 204, 204, 461, 32724, 68, 13378, 68, 17780, 13, 492, 31, 394, 17, 5752, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 17761, 275, 537, 1068, 974, 275, 21752, 8384, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 1068, 322, 325, 330, 334, 1068, 311, 14251, 19, 204, 268, 5752, 322, 339, 330, 334, 5752, 700, 348, 275, 21752, 8384, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 8079, 1068, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 275, 8079, 2724, 204, 264, 8079, 68, 492, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 1943, 292, 275, 537, 1068, 204, 264, 348, 1125, 292, 1068, 31, 204, 268, 314, 778, 397, 275, 1943, 353, 437, 8123, 204, 268, 397, 1125, 19, 20368, 1293, 204, 305, 314, 4347, 275, 8123, 311, 732, 1609, 523, 275, 1322, 302, 275, 1943, 204, 305, 8123, 289, 548, 32977, 24308, 68, 48304, 397, 1125, 19, 31651, 374, 902, 9060, 23529, 24308, 68, 48304, 204, 3123, 305, 314, 888, 275, 1112, 302, 275, 1943, 292, 275, 8123, 204, 305, 1112, 289, 8123, 19, 998, 13, 2441, 14, 204, 3123, 305, 314, 888, 275, 8079, 1112, 974, 275, 21752, 8384, 2089, 204, 305, 8079, 68, 998, 289, 322, 998, 465, 5752, 14, 1564, 1245, 13, 15252, 14, 204, 3123, 305, 314, 5230, 275, 8079, 1943, 311, 275, 458, 204, 305, 8079, 68, 492, 19, 1223, 13, 15252, 64, 16452, 68, 998, 694, 204, 268, 902, 31, 204, 305, 314, 828, 275, 1943, 353, 508, 437, 8123, 17, 6283, 490, 448, 353, 204, 305, 8079, 68, 492, 19, 1223, 13, 2441, 14, 204, 615, 264, 314, 9828, 275, 8079, 2724, 1025, 273, 782, 329, 407, 204, 264, 407, 13080, 1541, 13, 16452, 68, 492, 14, 204, 204, 461, 32724, 68, 13378, 68, 20480, 13, 16452, 68, 492, 31, 394, 17, 5752, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 19498, 275, 537, 1068, 974, 275, 21752, 8384, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 8079, 68, 492, 322, 325, 330, 334, 1068, 311, 15194, 19, 204, 268, 5752, 322, 339, 330, 334, 5752, 700, 348, 275, 21752, 8384, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 12225, 1068, 19, 204, 264, 320, 204, 264, 314, 334, 22455, 1352, 353, 275, 1729, 448, 11255, 17, 1101, 440, 273, 2917, 5752, 204, 264, 407, 32724, 68, 13378, 68, 17780, 13, 16452, 68, 492, 17, 338, 8115, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 311, 4490, 275, 21752, 8384, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1068, 311, 14251, 497, 275, 575, 204, 264, 1068, 289, 636, 68, 5198, 68, 4868, 68, 1031, 499, 2101, 1068, 311, 14251, 31, 2810, 204, 615, 264, 314, 763, 275, 5752, 700, 497, 275, 575, 204, 264, 5752, 289, 636, 68, 4649, 68, 768, 499, 2101, 5752, 322, 4649, 14, 311, 732, 31, 2810, 204, 615, 264, 314, 17761, 275, 1068, 974, 275, 21752, 8384, 204, 264, 8079, 68, 492, 289, 32724, 68, 13378, 68, 17780, 13, 492, 17, 5752, 14, 204, 615, 264, 314, 1198, 275, 8079, 1068, 204, 264, 456, 13, 75, 7, 42677, 1068, 974, 21752, 8384, 31, 463, 16452, 68, 492, 743, 204, 615, 264, 314, 19498, 275, 1068, 974, 275, 21752, 8384, 204, 264, 12225, 68, 492, 289, 32724, 68, 13378, 68, 20480, 13, 16452, 68, 492, 17, 5752, 14, 204, 615, 264, 314, 1198, 275, 12225, 1068, 204, 264, 456, 13, 75, 7, 47019, 1068, 974, 21752, 8384, 31, 463, 29203, 68, 492, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 12202, 532, 9124, 17, 14484, 204, 204, 676, 13985, 13, 8927, 330, 204, 264, 320, 204, 264, 11663, 1034, 850, 348, 11619, 19, 204, 204, 264, 1058, 850, 8913, 275, 2399, 1216, 496, 32065, 275, 3214, 302, 275, 3372, 19, 204, 264, 25712, 22704, 3288, 275, 2824, 2758, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 17666, 275, 3372, 1279, 204, 268, 1879, 204, 204, 264, 1642, 9017, 204, 264, 436, 7324, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 28656, 275, 3372, 348, 5156, 19, 204, 204, 268, 1058, 1216, 353, 13379, 311, 444, 7306, 560, 12939, 22704, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 264, 1642, 9017, 204, 264, 436, 4490, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18155, 275, 667, 2661, 302, 275, 3372, 19, 204, 204, 268, 1058, 1216, 353, 13379, 311, 444, 7306, 560, 12939, 22704, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 264, 1642, 9017, 204, 264, 436, 2423, 504, 13, 327, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10622, 1440, 275, 3372, 1877, 5156, 19, 204, 204, 268, 1058, 1216, 353, 13379, 311, 444, 7306, 560, 12939, 22704, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 264, 436, 1523, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 3372, 19, 204, 204, 268, 1058, 1216, 8913, 275, 2399, 348, 275, 3372, 17, 14101, 275, 7324, 17, 4490, 17, 329, 2423, 504, 2986, 292, 1767, 19, 204, 268, 320, 204, 268, 456, 499, 19250, 275, 3372, 7862, 204, 268, 370, 19, 14665, 374, 204, 268, 370, 19, 4118, 374, 204, 268, 370, 19, 43657, 374, 204, 268, 456, 499, 19442, 7868, 1280, 204, 204, 204, 676, 1594, 18055, 19442, 13, 19442, 330, 204, 264, 320, 204, 264, 25712, 5581, 302, 275, 3372, 348, 424, 5539, 19, 204, 264, 320, 204, 204, 264, 436, 7324, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5434, 21359, 275, 424, 348, 5539, 1279, 204, 268, 456, 499, 5434, 46299, 424, 7862, 204, 204, 264, 436, 4490, 13, 327, 14, 393, 443, 31, 204, 268, 320, 1560, 3851, 275, 424, 1279, 204, 268, 456, 499, 18055, 424, 7862, 204, 204, 264, 436, 2423, 504, 13, 327, 14, 393, 443, 31, 204, 268, 320, 12222, 1440, 275, 424, 5539, 1279, 204, 268, 456, 499, 12222, 4616, 424, 5539, 7862, 204, 204, 204, 676, 13985, 14350, 31, 204, 264, 320, 204, 264, 5297, 7029, 348, 4141, 329, 4436, 11619, 19, 204, 264, 320, 204, 204, 264, 436, 838, 68, 10992, 13, 327, 17, 3372, 68, 932, 31, 394, 14, 393, 13985, 31, 204, 268, 320, 204, 268, 2605, 437, 1014, 302, 275, 1713, 3372, 19, 204, 204, 268, 457, 31, 204, 268, 3372, 68, 932, 322, 325, 330, 334, 1187, 302, 3372, 311, 838, 19, 204, 204, 268, 475, 31, 204, 268, 13985, 31, 1346, 1014, 302, 275, 1713, 3372, 19, 204, 268, 320, 204, 268, 397, 3372, 68, 932, 564, 388, 481, 68, 13892, 559, 204, 305, 407, 1594, 18055, 19442, 374, 204, 268, 902, 31, 204, 305, 980, 987, 499, 15204, 3372, 1187, 431, 204, 204, 264, 436, 1523, 68, 10992, 13, 327, 17, 3372, 31, 13985, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 1713, 3372, 19, 204, 204, 268, 457, 31, 204, 268, 3372, 322, 19442, 330, 334, 3372, 311, 1523, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 3372, 19, 1777, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 436, 667, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3338, 1216, 496, 6944, 275, 3372, 19, 204, 268, 320, 204, 268, 3372, 289, 370, 19, 1510, 68, 10992, 499, 481, 68, 13892, 431, 204, 268, 370, 19, 1777, 68, 10992, 13, 10992, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 11894, 289, 13985, 14350, 374, 204, 264, 11894, 19, 660, 374, 204, 0, 13084, 1583, 273, 19664, 1608, 874, 887, 3509, 42150, 36, 204, 204, 38, 6871, 1608, 353, 273, 16537, 496, 3192, 887, 3509, 435, 41, 42150, 2404, 273, 6871, 869, 887, 6587, 19, 7616, 3469, 302, 275, 6871, 4504, 273, 2220, 2945, 292, 571, 41, 2817, 19, 334, 887, 42150, 529, 1376, 311, 1640, 275, 1019, 348, 848, 2945, 17, 11439, 275, 6871, 1608, 311, 2304, 273, 2945, 311, 273, 700, 19, 204, 204, 673, 6871, 1608, 5018, 273, 571, 41, 40786, 2450, 348, 8813, 2404, 490, 353, 275, 1901, 2323, 2501, 311, 636, 275, 2945, 497, 275, 15558, 1007, 1273, 872, 3480, 311, 1672, 275, 1964, 2304, 4558, 19, 334, 571, 41, 40786, 2450, 353, 1376, 311, 3822, 928, 3469, 302, 275, 6871, 311, 1672, 497, 329, 275, 2992, 311, 732, 348, 8813, 19, 204, 204, 673, 17428, 302, 974, 273, 6871, 1608, 440, 887, 3509, 42150, 2255, 31, 204, 204, 15, 32920, 311, 3288, 974, 4449, 12526, 15875, 496, 353, 18972, 348, 435, 41, 2388, 204, 15, 9178, 2821, 311, 949, 275, 3469, 329, 2992, 311, 1672, 497, 204, 15, 5134, 1828, 25519, 17, 9504, 1429, 25519, 1741, 1336, 3332, 275, 13303, 302, 275, 6871, 204, 204, 11892, 17, 904, 16453, 571, 41, 7687, 521, 27108, 618, 444, 1376, 17, 1101, 1250, 1741, 4426, 1182, 3700, 2821, 521, 874, 1182, 25519, 19, 334, 6871, 1608, 677, 12116, 329, 9208, 1895, 490, 273, 7458, 3508, 348, 1910, 7177, 19, 204, 204, 5399, 677, 273, 1660, 18, 1424, 18, 2290, 11414, 302, 1662, 273, 6871, 1608, 5994, 31, 204, 204, 22, 19, 332, 571, 41, 40786, 2450, 353, 1376, 311, 3822, 275, 2945, 497, 275, 15558, 1007, 19, 204, 23, 19, 334, 2945, 353, 1376, 311, 3822, 928, 3469, 302, 275, 6871, 311, 1672, 497, 19, 204, 24, 19, 334, 2992, 529, 3392, 311, 1672, 497, 275, 4285, 3469, 19, 204, 25, 19, 334, 700, 353, 8781, 497, 275, 6871, 1608, 974, 275, 3392, 2992, 19, 204, 26, 19, 334, 8781, 700, 353, 1376, 311, 3822, 275, 2423, 722, 17, 1702, 448, 275, 1848, 521, 11527, 302, 273, 6729, 19, 204, 204, 26212, 17, 275, 6871, 1608, 677, 732, 302, 887, 3509, 42150, 329, 273, 571, 41, 40786, 2450, 6876, 490, 311, 18540, 329, 13055, 2304, 7505, 311, 1019, 17, 4461, 490, 273, 10652, 5910, 348, 1910, 7177, 292, 5431, 17028, 329, 904, 2357, 19, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 33236, 204, 531, 1907, 19, 2918, 19, 11348, 532, 24368, 68, 14539, 448, 906, 204, 531, 2617, 5010, 68, 13722, 19, 2574, 68, 13722, 532, 5336, 38089, 16251, 7700, 204, 531, 1804, 532, 1804, 204, 204, 676, 16949, 13, 36862, 330, 204, 264, 320, 204, 264, 5336, 2221, 570, 440, 1692, 448, 275, 4408, 4634, 19, 204, 204, 264, 1532, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 7540, 560, 275, 575, 19, 204, 268, 1692, 322, 325, 330, 334, 1692, 1995, 302, 275, 575, 19, 204, 264, 320, 204, 264, 2143, 68, 14338, 289, 5336, 38089, 16251, 7700, 374, 204, 204, 264, 2143, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 394, 289, 1094, 19, 2580, 13, 204, 268, 13414, 2574, 2008, 204, 268, 846, 68, 1205, 34, 9333, 17, 204, 268, 1340, 68, 492, 15265, 10888, 19, 7669, 2724, 521, 14645, 19, 33375, 17, 3258, 329, 1642, 20, 17311, 16, 23228, 45404, 1698, 19, 2008, 204, 268, 10519, 3603, 2574, 68, 14338, 648, 204, 268, 908, 68, 6051, 2508, 204, 305, 379, 5271, 597, 19861, 38, 575, 440, 496, 2143, 2861, 2560, 41646, 204, 268, 4752, 204, 264, 1179, 204, 204, 264, 1692, 31, 394, 289, 1094, 19, 15478, 21273, 2302, 1995, 2008, 4247, 34, 1975, 17, 2220, 34, 1021, 14, 204, 204, 264, 36427, 68, 18194, 289, 379, 2302, 12, 204, 264, 39331, 68, 18194, 289, 379, 2302, 12, 204, 264, 43700, 68, 24907, 289, 2470, 2574, 839, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 16949, 570, 19, 204, 268, 320, 204, 268, 3958, 748, 578, 289, 379, 10475, 68, 6520, 68, 9534, 12, 204, 204, 676, 9258, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 437, 1650, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1650, 19, 204, 268, 12214, 68, 1011, 68, 359, 322, 325, 330, 334, 7265, 8406, 1222, 302, 275, 1650, 19, 204, 268, 740, 68, 4046, 68, 359, 322, 325, 330, 334, 1736, 6993, 1222, 302, 275, 1650, 19, 204, 268, 740, 68, 27646, 322, 325, 330, 334, 1736, 29016, 1222, 302, 275, 1650, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9333, 14, 204, 264, 12214, 68, 1011, 68, 359, 31, 394, 289, 1094, 19, 7320, 374, 204, 264, 740, 68, 4046, 68, 359, 31, 394, 289, 1094, 19, 7320, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 740, 68, 27646, 31, 394, 289, 1094, 19, 7320, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 9258, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 25991, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 35592, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 575, 677, 13016, 311, 437, 1650, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 27703, 330, 334, 575, 1415, 36999, 311, 275, 1650, 19, 204, 268, 740, 322, 6948, 330, 334, 1650, 496, 275, 575, 36999, 311, 19, 204, 264, 320, 204, 264, 575, 31, 16949, 289, 1094, 19, 4483, 13, 27703, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 34130, 534, 204, 264, 740, 31, 9258, 289, 1094, 19, 4483, 13, 6948, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 36112, 534, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 35592, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 34130, 12, 204, 268, 2220, 68, 18356, 289, 2448, 816, 491, 379, 748, 534, 204, 204, 676, 29089, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 6280, 322, 74, 19, 76, 19, 46113, 17, 23720, 789, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 6280, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 9333, 17, 2220, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 29089, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 34432, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 25521, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 6374, 322, 22, 18, 26, 14, 348, 437, 1650, 523, 273, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 2279, 68, 26, 322, 339, 330, 334, 542, 302, 720, 18, 12113, 10161, 19, 204, 268, 2279, 68, 25, 322, 339, 330, 334, 542, 302, 681, 18, 12113, 10161, 19, 204, 268, 2279, 68, 24, 322, 339, 330, 334, 542, 302, 571, 18, 12113, 10161, 19, 204, 268, 2279, 68, 23, 322, 339, 330, 334, 542, 302, 435, 18, 12113, 10161, 19, 204, 268, 2279, 68, 22, 322, 339, 330, 334, 542, 302, 368, 18, 12113, 10161, 19, 204, 264, 320, 204, 264, 2279, 68, 26, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 25, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 24, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 23, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 2279, 68, 22, 31, 421, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 949, 68, 5670, 68, 6124, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 888, 275, 2480, 6374, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 2480, 6374, 19, 204, 268, 320, 204, 268, 1113, 68, 12216, 289, 370, 19, 2224, 68, 26, 465, 370, 19, 2224, 68, 25, 465, 370, 19, 2224, 68, 24, 465, 370, 19, 2224, 68, 23, 465, 370, 19, 2224, 68, 22, 204, 268, 397, 1113, 68, 12216, 564, 500, 31, 204, 305, 407, 500, 204, 268, 407, 322, 327, 19, 2224, 68, 26, 540, 720, 465, 370, 19, 2224, 68, 25, 540, 681, 465, 370, 19, 2224, 68, 24, 540, 571, 465, 370, 19, 2224, 68, 23, 540, 435, 465, 370, 19, 2224, 68, 22, 540, 368, 14, 802, 1113, 68, 12216, 204, 204, 676, 18852, 989, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 3155, 424, 348, 437, 1650, 523, 273, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 740, 322, 6948, 330, 334, 1650, 19, 204, 268, 6280, 322, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 27775, 330, 334, 6280, 19, 204, 268, 6374, 322, 23728, 330, 334, 6374, 19, 204, 268, 1395, 68, 672, 322, 2664, 330, 334, 1489, 302, 275, 1673, 1395, 19, 204, 264, 320, 204, 264, 740, 31, 9258, 289, 1094, 19, 4483, 13, 6948, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 6956, 68, 481, 534, 204, 264, 6280, 31, 29089, 289, 1094, 19, 4483, 13, 27775, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 6956, 68, 481, 534, 204, 264, 6374, 31, 25521, 289, 1094, 19, 20748, 13, 23728, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 6956, 68, 481, 534, 204, 264, 1395, 68, 672, 31, 1804, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 18852, 989, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 6956, 68, 481, 12, 204, 268, 2220, 68, 18356, 289, 2448, 748, 491, 379, 10202, 534, 204, 204, 676, 22578, 989, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 8916, 424, 348, 437, 1650, 523, 273, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 740, 322, 6948, 330, 334, 1650, 19, 204, 268, 6280, 322, 27775, 330, 334, 6280, 19, 204, 268, 6374, 322, 23728, 330, 334, 6374, 19, 204, 268, 1395, 68, 672, 322, 2664, 330, 334, 1489, 302, 275, 1673, 1395, 19, 204, 268, 1673, 68, 2045, 68, 748, 322, 2664, 330, 334, 1489, 302, 275, 1673, 1650, 1395, 19, 204, 268, 1673, 68, 2045, 68, 481, 322, 2664, 330, 334, 1489, 302, 275, 1673, 424, 1395, 19, 204, 264, 320, 204, 264, 740, 31, 9258, 289, 1094, 19, 4483, 13, 6948, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 24899, 68, 481, 534, 204, 264, 6280, 31, 29089, 289, 1094, 19, 4483, 13, 27775, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 24899, 68, 481, 534, 204, 264, 6374, 31, 25521, 289, 1094, 19, 20748, 13, 23728, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 24899, 68, 481, 534, 204, 264, 1395, 68, 672, 31, 1804, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 14, 204, 264, 1673, 68, 2045, 68, 748, 31, 1804, 289, 1094, 19, 6602, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 1673, 68, 2045, 68, 481, 31, 1804, 289, 1094, 19, 6602, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 275, 22578, 989, 570, 19, 204, 268, 320, 204, 268, 1863, 68, 1867, 289, 379, 24899, 68, 481, 12, 204, 268, 2220, 68, 18356, 289, 2448, 748, 491, 379, 10202, 534, 204, 0, 531, 3022, 68, 7522, 19, 4280, 532, 35003, 204, 531, 3022, 68, 7522, 19, 1935, 532, 4899, 204, 531, 3022, 68, 7522, 532, 1714, 204, 531, 2617, 1618, 532, 9582, 204, 531, 2617, 12873, 532, 9582, 5449, 204, 204, 676, 9582, 3244, 13, 17368, 330, 204, 264, 320, 204, 264, 1426, 4559, 329, 6379, 2164, 348, 4240, 19, 204, 264, 320, 204, 204, 264, 436, 636, 13, 327, 17, 824, 31, 726, 14, 393, 4899, 31, 204, 268, 320, 204, 268, 1426, 4559, 2164, 348, 4240, 19, 204, 204, 268, 475, 31, 204, 305, 4899, 31, 332, 22646, 458, 302, 4240, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1472, 542, 497, 275, 1484, 2072, 204, 268, 1472, 68, 1190, 289, 824, 19, 5016, 19, 505, 611, 2225, 68, 1625, 491, 443, 14, 204, 822, 268, 314, 4491, 830, 4240, 292, 9267, 1552, 302, 690, 204, 268, 4240, 289, 9582, 19, 2856, 19, 668, 1528, 1115, 68, 1424, 6905, 834, 534, 204, 822, 268, 314, 43042, 275, 4240, 1609, 523, 275, 1917, 1472, 542, 204, 268, 407, 370, 806, 45919, 68, 7577, 13, 7577, 17, 1472, 68, 1190, 14, 204, 204, 264, 436, 1722, 13, 327, 17, 824, 31, 726, 14, 393, 4899, 31, 204, 268, 320, 204, 268, 1426, 6379, 2164, 348, 4240, 19, 204, 204, 268, 475, 31, 204, 305, 4899, 31, 332, 22646, 458, 302, 4240, 4932, 560, 2851, 329, 18783, 1870, 19, 204, 268, 320, 204, 268, 314, 763, 275, 18783, 1870, 329, 2851, 588, 497, 275, 824, 424, 204, 268, 18783, 68, 2201, 289, 824, 19, 481, 19, 505, 611, 2201, 534, 204, 268, 2851, 68, 417, 289, 824, 19, 481, 19, 505, 611, 3924, 534, 204, 822, 268, 314, 4863, 4240, 1609, 523, 275, 18783, 1870, 329, 2851, 588, 204, 268, 4240, 289, 370, 806, 2741, 68, 7577, 13, 29684, 68, 2201, 17, 2851, 68, 417, 14, 204, 822, 268, 314, 828, 275, 18783, 1870, 353, 2872, 17, 407, 437, 908, 958, 204, 268, 397, 4240, 353, 443, 31, 204, 305, 407, 4899, 6758, 718, 597, 379, 1962, 18783, 1870, 7984, 1714, 34, 1835, 19, 6654, 68, 6386, 68, 18933, 68, 14411, 14, 204, 822, 268, 314, 763, 275, 1472, 542, 497, 275, 1484, 2072, 204, 268, 1472, 68, 1190, 289, 824, 19, 5016, 19, 505, 611, 2225, 68, 1625, 491, 443, 14, 204, 822, 268, 314, 43042, 275, 4240, 1609, 523, 275, 1917, 1472, 542, 204, 268, 407, 370, 806, 45919, 68, 7577, 13, 7577, 17, 1472, 68, 1190, 14, 204, 204, 264, 436, 906, 2741, 68, 7577, 13, 327, 17, 18783, 68, 2201, 31, 394, 17, 2851, 68, 417, 31, 394, 14, 393, 726, 31, 204, 268, 320, 204, 268, 4863, 4240, 1609, 523, 275, 18783, 1870, 329, 2851, 588, 19, 204, 204, 268, 457, 31, 204, 305, 18783, 68, 2201, 322, 325, 330, 334, 18783, 1870, 311, 2081, 560, 19, 204, 305, 2851, 68, 417, 322, 325, 330, 334, 2851, 588, 311, 2081, 560, 19, 204, 204, 268, 475, 31, 204, 305, 726, 31, 334, 4932, 4240, 19, 204, 268, 320, 204, 268, 314, 4863, 4240, 1609, 523, 275, 18783, 1870, 329, 2851, 588, 204, 268, 397, 18783, 68, 2201, 564, 379, 1676, 23, 597, 204, 305, 397, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2851, 68, 417, 564, 379, 668, 597, 204, 485, 407, 9582, 19, 2856, 19, 668, 1528, 1115, 68, 1424, 6905, 834, 534, 204, 305, 902, 31, 204, 485, 407, 9582, 19, 2856, 19, 2741, 13, 1676, 23, 34, 3924, 68, 417, 789, 1115, 68, 1424, 6905, 834, 534, 204, 268, 1677, 18783, 68, 2201, 564, 379, 1676, 24, 597, 204, 305, 407, 9582, 19, 2856, 19, 2741, 13, 1676, 24, 34, 3924, 68, 417, 789, 1115, 68, 1424, 6905, 834, 534, 204, 268, 902, 31, 204, 305, 314, 828, 275, 18783, 1870, 353, 2872, 17, 407, 443, 204, 305, 407, 443, 204, 204, 264, 436, 906, 45919, 68, 7577, 13, 327, 17, 4240, 31, 726, 17, 1472, 68, 1190, 31, 394, 14, 393, 4899, 31, 204, 268, 320, 204, 268, 43042, 4240, 1609, 523, 275, 1917, 1472, 542, 19, 204, 204, 268, 457, 31, 204, 305, 4240, 322, 1386, 330, 334, 4240, 311, 31935, 19, 204, 305, 1472, 68, 1190, 322, 325, 330, 334, 1472, 542, 311, 31935, 560, 19, 204, 204, 268, 475, 31, 204, 305, 4899, 31, 334, 22646, 4240, 19, 204, 268, 320, 204, 268, 314, 828, 275, 1472, 542, 353, 1917, 17, 31935, 275, 4240, 204, 268, 397, 1472, 68, 1190, 353, 508, 443, 31, 204, 305, 1472, 68, 1190, 289, 421, 13, 2225, 68, 1190, 14, 338, 368, 204, 305, 4240, 289, 4240, 64, 2225, 68, 1190, 15, 1909, 24082, 2225, 68, 1190, 16, 22, 8787, 1909, 66, 204, 268, 902, 31, 204, 305, 314, 828, 275, 1472, 542, 353, 508, 1917, 17, 407, 275, 1043, 720, 4240, 204, 305, 4240, 289, 4240, 2022, 26, 66, 204, 822, 268, 314, 16454, 275, 4240, 204, 268, 6317, 289, 9582, 5449, 13, 7577, 17, 1910, 34, 1021, 14, 204, 822, 268, 314, 455, 275, 22646, 4240, 204, 268, 407, 4899, 13, 9692, 19, 481, 14, 204, 0, 22534, 460, 17164, 20071, 2773, 12836, 4134, 1951, 44947, 24430, 5928, 22009, 1773, 3049, 990, 7407, 25707, 4302, 259, 12431, 1001, 204, 1951, 44947, 24430, 5928, 22009, 1773, 3049, 990, 7407, 25707, 4302, 259, 12431, 37220, 38848, 404, 1407, 651, 78, 38286, 10412, 28642, 25, 2903, 2314, 2544, 15244, 40059, 14281, 7407, 25707, 4302, 259, 12431, 1001, 13164, 6796, 1638, 1951, 44947, 4302, 259, 12431, 22534, 32293, 13491, 408, 33699, 2353, 19, 28, 38230, 408, 2014, 10493, 23136, 31196, 4515, 5784, 9980, 568, 6385, 1689, 7340, 20621, 22009, 6841, 10220, 7407, 25707, 4302, 259, 12431, 1001, 2499, 4660, 7221, 30409, 25722, 4294, 5552, 13261, 725, 41589, 460, 17164, 38232, 26266, 725, 21887, 29097, 14965, 6463, 1227, 20356, 39138, 725, 10451, 2338, 28368, 22534, 12164, 13261, 408, 2499, 1189, 11167, 3733, 921, 22432, 2860, 4499, 17341, 5718, 408, 11860, 33168, 24986, 10844, 2065, 28570, 2339, 107, 33372, 568, 204, 990, 7407, 25707, 4302, 259, 12431, 1001, 1254, 1951, 44947, 460, 990, 38232, 7342, 1001, 1189, 4587, 9884, 3602, 408, 3571, 7764, 16904, 8167, 4179, 18264, 11408, 16309, 2677, 50, 865, 267, 13543, 21477, 2653, 4587, 32048, 408, 15588, 22015, 1773, 2499, 17164, 38232, 2065, 7221, 32636, 460, 24986, 10844, 2065, 25722, 13261, 6543, 35852, 1984, 2499, 19109, 31630, 1189, 4741, 7421, 460, 40334, 26266, 10400, 29475, 16484, 1227, 11928, 4427, 108, 40395, 5031, 1638, 6841, 13491, 408, 3359, 2815, 14965, 6463, 1227, 20356, 34013, 15341, 4574, 5335, 5579, 408, 3675, 11167, 3733, 19511, 1281, 100, 7251, 38232, 6010, 5584, 1191, 7893, 7566, 24072, 460, 24986, 25722, 10844, 568, 204, 2253, 28642, 8131, 1565, 1191, 35829, 2065, 6445, 5284, 14794, 7407, 4276, 38232, 408, 5385, 15313, 990, 7407, 25707, 4302, 259, 12431, 1001, 460, 11247, 9980, 408, 8695, 17168, 40323, 2704, 5958, 15444, 17576, 2704, 725, 9938, 10269, 115, 15385, 17103, 5958, 14253, 2455, 15385, 17103, 1227, 10603, 24038, 12030, 19406, 18543, 10884, 14965, 4294, 5552, 13261, 408, 17168, 38232, 725, 1490, 6553, 4788, 3031, 2065, 21701, 408, 25408, 7402, 7617, 12660, 2433, 5295, 1427, 113, 11308, 1116, 408, 22346, 23286, 8794, 1524, 7893, 8330, 2253, 12547, 568, 204, 10380, 21887, 1764, 14965, 6463, 39138, 1227, 20356, 34013, 2499, 35520, 40059, 408, 8695, 20356, 34013, 27731, 2188, 12899, 5727, 2682, 10, 36075, 854, 5840, 2148, 1899, 21948, 4302, 259, 12431, 22534, 408, 8695, 7782, 29097, 5840, 2148, 9398, 1951, 44947, 460, 43654, 34602, 6463, 725, 1764, 34151, 3393, 20959, 12397, 44947, 921, 1773, 6463, 1955, 408, 1189, 11167, 3733, 1776, 11860, 24072, 12644, 24986, 1227, 20356, 5768, 568, 12506, 129, 12506, 246, 921, 29475, 16484, 6564, 14947, 4788, 3031, 4268, 2414, 23204, 1227, 20356, 34013, 408, 21224, 9754, 2065, 12094, 460, 4771, 6543, 3411, 22784, 408, 12523, 5881, 5584, 460, 41370, 24986, 10844, 568, 204, 4484, 9884, 7296, 1432, 13049, 2677, 53, 779, 17536, 2653, 921, 13440, 44951, 37874, 460, 22395, 19233, 3293, 11095, 5201, 2499, 1899, 21948, 990, 7407, 25707, 4302, 259, 12431, 6681, 6463, 1189, 1951, 44947, 12523, 460, 53, 779, 17536, 4146, 7712, 2815, 8494, 5349, 7649, 1227, 9855, 7649, 1955, 45185, 12966, 408, 2499, 8626, 3152, 11007, 5873, 5873, 460, 12660, 1565, 40815, 2065, 34540, 3058, 11618, 6463, 33556, 51, 5700, 1886, 19560, 11341, 37874, 39206, 7388, 19865, 6463, 4268, 3984, 5201, 408, 11746, 25552, 21054, 11618, 25722, 29307, 408, 11007, 2778, 19511, 990, 7407, 25707, 4302, 259, 12431, 1001, 5201, 3733, 2366, 7413, 45185, 57, 2961, 103, 3058, 1951, 44947, 921, 1773, 2791, 3640, 5928, 6463, 51, 1678, 594, 5385, 19560, 990, 7407, 25707, 4302, 259, 12431, 1001, 17639, 32603, 990, 51, 1678, 594, 44760, 323, 1001, 460, 24430, 6463, 19582, 408, 12523, 21082, 5201, 2065, 26741, 6364, 32876, 460, 10844, 9560, 3058, 2253, 1254, 4587, 4484, 26509, 43853, 2065, 33894, 1846, 2253, 10968, 22838, 15764, 10928, 8428, 35466, 39138, 26092, 365, 365, 408, 27241, 12523, 28368, 1254, 990, 7407, 25707, 4302, 259, 12431, 1001, 1189, 9884, 41484, 4907, 2093, 7720, 19784, 3708, 408, 1189, 11007, 31820, 8028, 3401, 14965, 460, 33894, 1846, 1398, 4660, 8376, 5768, 2065, 40815, 568, 204, 921, 20356, 5949, 408, 5253, 41933, 12232, 26085, 4872, 1442, 2541, 825, 27241, 22828, 41368, 1951, 44947, 568, 11007, 921, 22534, 15699, 20937, 921, 7764, 47238, 5201, 4348, 8494, 408, 7566, 1262, 28570, 3058, 2253, 7566, 17288, 7764, 12397, 44947, 38387, 6463, 24013, 5196, 44436, 2677, 57, 15227, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3300, 270, 10412, 27241, 37874, 10218, 5840, 1764, 19582, 5201, 57, 15227, 15725, 9257, 408, 2034, 3357, 921, 49102, 1191, 12523, 27843, 20356, 10844, 408, 1189, 11007, 1776, 11860, 27082, 460, 7282, 46790, 41370, 568, 46363, 19689, 11167, 1951, 44947, 460, 27730, 408, 831, 43388, 5651, 1367, 10844, 43635, 7342, 38232, 568, 0, 1449, 1814, 1168, 10061, 3881, 322, 80, 39, 14, 311, 469, 1073, 1156, 94, 1921, 322, 62, 78, 39, 659, 572, 732, 275, 5818, 2089, 31, 204, 204, 62, 78, 39, 289, 724, 39, 610, 3861, 802, 10696, 67, 29, 204, 204, 11142, 31, 204, 18, 368, 10061, 11403, 322, 80, 39, 14, 353, 1936, 311, 3861, 3154, 204, 18, 368, 469, 1073, 1156, 94, 356, 322, 62, 78, 39, 14, 353, 1936, 311, 10696, 67, 29, 3154, 204, 204, 6702, 368, 31, 2208, 10061, 3881, 311, 3154, 204, 28, 724, 39, 289, 1168, 610, 3861, 289, 45651, 3154, 204, 204, 6702, 435, 31, 2208, 3154, 311, 469, 1073, 1156, 94, 1921, 204, 62, 78, 39, 289, 45651, 802, 10696, 67, 29, 204, 34, 45651, 802, 322, 12958, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 610, 10696, 14, 204, 34, 45651, 802, 7219, 7946, 47055, 28421, 34235, 4734, 37373, 46205, 32683, 204, 34, 45651, 610, 500, 19, 15307, 23587, 29, 4343, 2132, 7788, 1258, 4656, 2188, 4343, 5645, 4553, 204, 34, 500, 19, 15307, 3145, 8369, 3276, 31276, 4023, 47471, 26730, 4462, 2500, 1358, 78, 39, 204, 204, 4356, 17, 1168, 10061, 3881, 353, 1936, 311, 500, 19, 15307, 3145, 8369, 3276, 31276, 4023, 47471, 26730, 4462, 2500, 469, 1073, 1156, 94, 1921, 19, 716, 204, 7108, 31, 334, 722, 353, 16522, 2258, 311, 2846, 4048, 4738, 19, 716, 204, 11892, 17, 872, 618, 732, 275, 2631, 6057, 2089, 311, 1814, 497, 10061, 3881, 311, 469, 1073, 1156, 94, 1921, 31, 204, 34, 62, 1073, 1156, 94, 356, 289, 332, 23, 540, 500, 19, 15307, 23587, 29, 4343, 2132, 7788, 1258, 4656, 2188, 4343, 5645, 4553, 204, 11142, 332, 23, 353, 275, 2092, 1174, 275, 700, 292, 10061, 3881, 19, 0, 647, 1804, 204, 531, 1907, 19, 21530, 532, 18039, 204, 204, 8, 968, 273, 3683, 348, 717, 4801, 204, 676, 2991, 18015, 18104, 13, 18104, 330, 204, 264, 320, 204, 264, 15718, 1330, 273, 717, 4801, 353, 1966, 19, 204, 204, 264, 457, 31, 204, 268, 2851, 322, 325, 330, 334, 2851, 302, 275, 4801, 19, 204, 268, 1489, 322, 2664, 19, 672, 330, 334, 1489, 302, 275, 4801, 19, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 264, 320, 204, 264, 9530, 68, 1038, 289, 3134, 3924, 528, 388, 672, 528, 388, 9931, 1339, 204, 204, 8, 968, 273, 3683, 348, 8143, 4801, 204, 676, 6117, 18015, 18104, 13, 18104, 330, 204, 264, 320, 204, 264, 15718, 1330, 437, 4801, 353, 8143, 19, 204, 204, 264, 457, 31, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 264, 320, 204, 264, 9530, 68, 1038, 289, 3134, 9931, 1339, 204, 204, 8, 1165, 1265, 31, 204, 461, 4801, 68, 5903, 68, 4075, 13, 9931, 17, 2851, 31, 394, 17, 1489, 31, 1804, 19, 672, 14, 393, 443, 31, 204, 264, 320, 204, 264, 33439, 741, 348, 275, 717, 4801, 3683, 19, 204, 204, 264, 457, 31, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 268, 2851, 322, 325, 330, 334, 2851, 302, 275, 4801, 19, 204, 268, 1489, 322, 2664, 19, 672, 330, 334, 1489, 302, 275, 4801, 19, 204, 264, 320, 204, 264, 314, 1426, 275, 717, 4801, 3683, 204, 264, 456, 13, 75, 7, 6001, 4801, 1966, 31, 463, 3924, 98, 523, 463, 672, 743, 204, 204, 461, 4801, 68, 16677, 68, 4075, 13, 9931, 14, 393, 443, 31, 204, 264, 320, 204, 264, 33439, 741, 348, 275, 8143, 4801, 3683, 19, 204, 204, 264, 457, 31, 204, 268, 6362, 322, 1386, 330, 334, 726, 496, 2312, 275, 3683, 19, 204, 264, 320, 204, 264, 314, 1426, 275, 8143, 4801, 3683, 204, 264, 456, 499, 18015, 8143, 431, 204, 204, 8, 6370, 275, 4713, 3263, 311, 275, 8432, 204, 1957, 68, 9360, 68, 6073, 289, 2991, 18015, 18104, 374, 204, 2756, 68, 9360, 68, 6073, 289, 6117, 18015, 18104, 374, 204, 204, 1957, 68, 9360, 68, 6073, 19, 2933, 13, 9360, 68, 5903, 68, 4075, 14, 204, 2756, 68, 9360, 68, 6073, 19, 2933, 13, 9360, 68, 16677, 68, 4075, 14, 204, 204, 8, 1165, 1265, 31, 204, 676, 17188, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2851, 31, 394, 17, 1489, 31, 1804, 19, 672, 14, 393, 443, 31, 204, 268, 370, 19, 3924, 289, 2851, 204, 268, 370, 19, 672, 289, 1489, 204, 204, 264, 436, 838, 13, 327, 14, 393, 443, 31, 204, 268, 314, 2878, 275, 717, 4801, 3683, 204, 268, 717, 68, 9360, 68, 6073, 19, 3345, 13, 9931, 34, 327, 17, 2851, 34, 327, 19, 3924, 17, 1489, 34, 327, 19, 672, 14, 204, 204, 264, 436, 4032, 13, 327, 14, 393, 443, 31, 204, 268, 314, 2878, 275, 8143, 4801, 3683, 204, 268, 4032, 68, 9360, 68, 6073, 19, 3345, 13, 9931, 34, 327, 14, 204, 204, 8, 666, 437, 4801, 329, 2566, 275, 8432, 204, 9360, 289, 17188, 499, 5063, 8953, 528, 1804, 19, 672, 19, 10388, 1447, 204, 9360, 19, 1510, 374, 204, 9360, 19, 2756, 374, 204, 0, 461, 949, 68, 11591, 68, 522, 68, 7434, 68, 5518, 68, 14816, 13, 8586, 22, 31, 458, 64, 339, 648, 7093, 23, 31, 458, 64, 339, 694, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 6716, 302, 970, 2282, 6946, 19, 204, 204, 264, 457, 31, 204, 268, 7093, 22, 322, 655, 64, 339, 1037, 334, 1043, 2282, 1348, 19, 204, 268, 7093, 23, 322, 655, 64, 339, 1037, 334, 1350, 2282, 1348, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 6716, 302, 275, 970, 6946, 19, 204, 264, 320, 204, 264, 314, 1426, 3428, 2910, 1273, 1051, 521, 1855, 6946, 529, 1392, 204, 264, 397, 508, 7093, 22, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 2731, 329, 3885, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 2731, 329, 3885, 497, 275, 575, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 542, 302, 2731, 329, 3885, 31, 6165, 1590, 1447, 204, 264, 407, 771, 68, 3076, 17, 771, 68, 5729, 204, 204, 461, 1151, 68, 1944, 68, 5729, 13, 920, 68, 5729, 31, 421, 17, 771, 68, 3076, 31, 421, 14, 393, 783, 64, 1218, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 275, 3885, 497, 275, 575, 329, 2584, 437, 7576, 458, 2355, 302, 275, 1582, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 5729, 322, 339, 330, 334, 542, 302, 3885, 292, 275, 1582, 19, 204, 268, 771, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 292, 275, 1582, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1218, 64, 339, 2440, 1346, 7576, 458, 2355, 302, 275, 1582, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1582, 204, 264, 1582, 289, 26302, 348, 906, 292, 933, 13, 920, 68, 3076, 2395, 204, 615, 264, 314, 1606, 275, 3885, 497, 275, 575, 329, 16836, 275, 1582, 204, 264, 348, 906, 292, 933, 13, 920, 68, 5729, 330, 204, 268, 944, 22, 17, 944, 23, 289, 2304, 13, 339, 17, 537, 13, 75, 7, 2101, 3428, 463, 45343, 22, 98, 322, 1241, 22, 944, 23, 330, 6165, 1590, 1447, 204, 268, 314, 14312, 944, 3265, 311, 500, 18, 6070, 204, 268, 1582, 64, 1241, 22, 18, 22, 1664, 1223, 13, 1241, 23, 18, 22, 14, 204, 615, 264, 407, 1582, 204, 204, 461, 1151, 68, 1530, 68, 409, 68, 3076, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4143, 275, 1012, 329, 1136, 2731, 497, 275, 575, 329, 2584, 1475, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1012, 329, 1136, 2731, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 1012, 329, 1136, 2731, 497, 275, 575, 204, 264, 1012, 17, 1136, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 1012, 329, 1136, 2731, 31, 6165, 1590, 1447, 204, 264, 314, 14312, 944, 3265, 311, 500, 18, 6070, 204, 264, 407, 1012, 18, 22, 17, 1136, 18, 22, 204, 204, 461, 8468, 68, 3174, 13, 1944, 31, 783, 64, 1218, 64, 339, 4395, 1012, 31, 421, 17, 1136, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 9715, 273, 15715, 18, 2922, 1813, 9164, 302, 275, 1582, 329, 2584, 275, 8468, 1759, 497, 275, 1012, 944, 311, 275, 1136, 944, 19, 204, 204, 264, 457, 31, 204, 268, 1582, 322, 1218, 64, 1218, 64, 339, 3795, 1346, 7576, 458, 2355, 302, 275, 1582, 19, 204, 268, 1012, 322, 339, 330, 334, 1012, 944, 19, 204, 268, 1136, 322, 339, 330, 334, 1136, 944, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 8468, 1759, 497, 275, 1012, 944, 311, 275, 1136, 944, 19, 204, 264, 320, 204, 264, 314, 977, 273, 2769, 348, 19040, 17, 1174, 275, 1012, 944, 329, 1163, 1759, 204, 264, 2769, 289, 7826, 19748, 1530, 17, 500, 7971, 204, 615, 264, 314, 977, 273, 4371, 758, 311, 3550, 3234, 302, 4371, 2731, 204, 264, 4371, 289, 758, 374, 204, 615, 264, 314, 977, 273, 5324, 955, 311, 1640, 275, 8468, 1759, 311, 848, 944, 204, 264, 5324, 289, 463, 1241, 31, 818, 611, 3643, 534, 348, 944, 292, 933, 13, 1796, 13, 1944, 39403, 204, 264, 5324, 64, 1530, 66, 289, 500, 204, 615, 264, 1335, 2769, 31, 204, 268, 314, 29276, 275, 1682, 944, 329, 1163, 1759, 204, 268, 944, 17, 1759, 289, 2769, 19, 17387, 374, 204, 822, 268, 314, 828, 275, 944, 353, 275, 1136, 944, 17, 407, 1163, 1759, 204, 268, 397, 944, 564, 1136, 31, 204, 305, 407, 1759, 204, 822, 268, 314, 5979, 275, 944, 448, 4371, 204, 268, 4371, 19, 826, 13, 1241, 14, 204, 822, 268, 314, 34236, 830, 28178, 7343, 302, 275, 944, 204, 268, 348, 6199, 292, 1582, 64, 1241, 744, 204, 305, 397, 6199, 508, 292, 4371, 31, 204, 485, 314, 1716, 275, 1759, 311, 275, 6199, 397, 273, 14276, 832, 353, 1193, 204, 485, 5324, 64, 9431, 66, 289, 1006, 13, 9854, 64, 9431, 648, 1759, 465, 368, 14, 204, 485, 2769, 19, 1223, 1802, 9431, 17, 1759, 465, 368, 602, 204, 615, 264, 314, 828, 1422, 353, 1236, 832, 311, 275, 1136, 944, 17, 407, 338, 22, 204, 264, 407, 338, 22, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 275, 1582, 1483, 17, 16510, 19040, 17, 329, 5538, 275, 8468, 1759, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 1582, 1483, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 289, 1151, 68, 1944, 68, 1270, 374, 204, 264, 1582, 289, 1151, 68, 1944, 68, 5729, 13, 920, 68, 5729, 17, 771, 68, 3076, 14, 204, 264, 1012, 17, 1136, 289, 1151, 68, 1530, 68, 409, 68, 3076, 374, 204, 615, 264, 314, 3055, 19040, 329, 456, 275, 8468, 1759, 204, 264, 722, 289, 8468, 68, 3174, 13, 1944, 17, 1012, 17, 1136, 14, 204, 264, 456, 13, 75, 7, 673, 8468, 1759, 497, 944, 463, 1530, 16, 22, 98, 311, 944, 463, 409, 16, 22, 98, 353, 31, 463, 1300, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 5420, 7861, 275, 379, 10940, 12, 1242, 292, 275, 379, 47389, 12, 329, 379, 6620, 87, 68, 47389, 12, 1094, 204, 633, 2512, 3749, 329, 4247, 1019, 17, 329, 3416, 275, 5991, 1445, 311, 379, 2936, 20, 48985, 1320, 12, 329, 379, 2936, 20, 6620, 87, 68, 48985, 1320, 12, 8866, 19, 204, 315, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 1716, 2021, 1625, 32226, 16119, 1186, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 5307, 275, 379, 10940, 12, 1242, 292, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 379, 47389, 12, 329, 379, 6620, 87, 68, 47389, 12, 1094, 19, 204, 204, 264, 1058, 5420, 6876, 275, 379, 10940, 12, 1242, 311, 444, 3749, 329, 4247, 17, 329, 3416, 275, 5991, 1445, 204, 264, 311, 379, 2936, 20, 48985, 1320, 12, 329, 379, 2936, 20, 6620, 87, 68, 48985, 1320, 12, 8866, 19, 204, 264, 320, 204, 204, 264, 6127, 289, 551, 204, 268, 314, 21618, 523, 275, 3090, 5420, 204, 268, 2448, 74, 68, 4679, 557, 491, 379, 1207, 27, 68, 4881, 68, 8131, 21, 45015, 68, 2051, 29, 2008, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 1716, 275, 379, 10940, 12, 1242, 292, 275, 379, 47389, 12, 570, 204, 268, 6447, 19, 20636, 13, 204, 305, 570, 68, 417, 833, 47389, 491, 204, 305, 588, 833, 10940, 491, 204, 305, 1242, 34, 1618, 19, 12043, 13, 204, 485, 4247, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 4247, 204, 485, 3749, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 3749, 204, 485, 5991, 68, 633, 833, 2936, 20, 48985, 1320, 12, 226, 314, 1359, 275, 5991, 1445, 204, 305, 5334, 204, 268, 5334, 204, 268, 314, 1716, 275, 379, 10940, 12, 1242, 292, 275, 379, 6620, 87, 68, 47389, 12, 570, 204, 268, 6447, 19, 20636, 13, 204, 305, 570, 68, 417, 833, 6620, 87, 68, 47389, 491, 204, 305, 588, 833, 10940, 491, 204, 305, 1242, 34, 1618, 19, 12043, 13, 204, 485, 4247, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 4247, 204, 485, 3749, 34, 1021, 17, 226, 314, 16104, 275, 1242, 311, 444, 3749, 204, 485, 5991, 68, 633, 833, 2936, 20, 6620, 87, 68, 48985, 1320, 12, 226, 314, 1359, 275, 5991, 1445, 204, 305, 5334, 204, 268, 5334, 204, 264, 2437, 204, 0, 5191, 571, 2317, 15966, 329, 16473, 204, 4167, 18471, 292, 3099, 302, 5194, 353, 273, 10652, 2501, 348, 2459, 311, 2931, 1017, 12750, 5956, 19, 30417, 353, 275, 722, 302, 273, 1561, 508, 5096, 311, 2906, 275, 1137, 19, 828, 1880, 529, 29812, 685, 17, 275, 2323, 8474, 353, 311, 732, 275, 1561, 1250, 9003, 874, 292, 2481, 17, 2842, 1225, 22274, 19, 1058, 353, 348, 2459, 1415, 4030, 275, 1698, 832, 311, 4037, 9695, 353, 311, 810, 22274, 19, 3846, 311, 1698, 810, 22274, 440, 275, 1729, 1561, 17, 974, 275, 1729, 5107, 17, 1698, 11337, 311, 7443, 19, 204, 1449, 1340, 2459, 2906, 275, 1137, 302, 1225, 17, 1017, 1561, 869, 311, 444, 719, 29725, 17, 754, 490, 884, 88, 14359, 348, 2459, 311, 7253, 523, 4141, 437, 14179, 348, 496, 1561, 19, 592, 808, 1322, 17, 572, 884, 272, 7595, 1698, 630, 275, 308, 3677, 1250, 874, 329, 9793, 275, 33453, 11316, 17, 928, 17, 560, 1540, 17, 353, 33453, 490, 1609, 523, 275, 5981, 302, 1017, 850, 7049, 19, 204, 5681, 1017, 8523, 375, 529, 16398, 560, 2086, 2459, 618, 2281, 12356, 2075, 13168, 1519, 311, 444, 12098, 292, 17, 3220, 521, 636, 14119, 302, 19, 10677, 22459, 273, 4153, 7211, 302, 7365, 496, 7894, 2459, 3472, 1182, 6639, 329, 2202, 7443, 2404, 1250, 2379, 1273, 830, 302, 275, 13168, 529, 19, 3433, 874, 273, 2481, 311, 4481, 2589, 2875, 1051, 302, 275, 13168, 496, 1895, 7211, 329, 1895, 732, 302, 426, 4187, 7365, 560, 275, 1682, 2086, 275, 4960, 1120, 3074, 19, 10677, 2106, 3658, 848, 3747, 560, 508, 5701, 311, 2909, 348, 13168, 521, 13896, 37785, 1465, 1273, 1250, 884, 272, 37289, 19, 204, 2920, 311, 2765, 2886, 1214, 1656, 204, 2920, 872, 618, 1340, 448, 273, 2260, 353, 560, 14644, 1214, 1656, 33453, 808, 308, 3677, 440, 275, 5544, 19035, 329, 2909, 1025, 1214, 3346, 7365, 1561, 329, 3020, 1662, 872, 618, 3120, 1429, 302, 275, 11362, 3237, 19, 204, 7374, 275, 34532, 13499, 1212, 6492, 37046, 204, 5009, 884, 358, 2842, 1966, 273, 11676, 348, 1273, 872, 3480, 311, 1307, 292, 1214, 3307, 17, 329, 872, 884, 272, 1425, 1182, 9136, 302, 275, 2327, 11231, 311, 444, 2707, 10998, 82, 2547, 19, 9419, 490, 884, 88, 690, 311, 1020, 273, 2501, 311, 1895, 496, 11676, 2317, 329, 1214, 18828, 12750, 1978, 2317, 13029, 19, 204, 673, 2765, 2501, 311, 25919, 1702, 437, 48347, 353, 311, 838, 273, 1561, 496, 884, 88, 15836, 329, 7784, 311, 4185, 872, 19, 334, 896, 353, 311, 1225, 1043, 523, 275, 1561, 17, 1675, 311, 770, 275, 1225, 19, 334, 18643, 1901, 2459, 1895, 353, 7493, 46096, 292, 329, 8205, 275, 1225, 329, 2900, 8993, 1465, 275, 2765, 2501, 311, 770, 490, 292, 275, 5094, 521, 25583, 273, 2501, 311, 9291, 523, 1913, 302, 830, 1017, 1225, 830, 275, 690, 19, 204, 27398, 273, 1561, 17, 1901, 1880, 33753, 1283, 2545, 10178, 523, 1913, 302, 5337, 322, 4995, 5701, 273, 3106, 4308, 17, 308, 3677, 329, 830, 1017, 1225, 10689, 14, 311, 2545, 8944, 322, 70, 22275, 94, 4308, 17, 20004, 336, 308, 3677, 17, 329, 273, 4542, 4520, 15133, 789, 5424, 273, 1561, 1422, 529, 6430, 311, 444, 2666, 1330, 5337, 636, 566, 16494, 17, 1101, 872, 884, 272, 5096, 311, 2906, 273, 16599, 35081, 2900, 13896, 275, 7443, 19, 332, 4382, 1561, 353, 275, 896, 311, 8205, 2590, 292, 3859, 329, 24764, 1901, 302, 275, 7443, 3610, 440, 2545, 273, 2384, 19, 204, 673, 904, 896, 353, 311, 2909, 630, 4141, 273, 1561, 1273, 275, 20004, 322, 1538, 1763, 31, 1214, 308, 3677, 17, 1214, 7506, 17, 1214, 36897, 17, 1214, 18735, 17, 6623, 6268, 13297, 88, 440, 2075, 872, 1519, 311, 770, 329, 2075, 11237, 311, 11616, 16428, 19, 8278, 884, 88, 437, 1763, 496, 28370, 275, 917, 31, 204, 10215, 292, 12758, 382, 867, 4636, 440, 273, 2384, 1415, 867, 1340, 28862, 940, 39532, 19, 1547, 867, 9402, 1101, 566, 2080, 13168, 20004, 336, 292, 1704, 308, 3677, 497, 275, 7830, 302, 275, 3859, 1324, 17, 329, 1250, 33626, 884, 89, 2842, 275, 850, 38864, 19, 2474, 2080, 2641, 41609, 329, 3299, 17580, 15133, 279, 1777, 3408, 292, 1283, 275, 23252, 329, 292, 275, 5533, 302, 1704, 45846, 19, 7953, 6757, 6183, 490, 867, 1236, 732, 17, 329, 3522, 566, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 867, 5202, 3094, 9695, 17, 1250, 1824, 3850, 9999, 19, 334, 1698, 1844, 867, 496, 566, 867, 2234, 29812, 685, 1169, 834, 566, 2080, 311, 1020, 5805, 329, 275, 1870, 302, 7443, 867, 4145, 311, 636, 311, 3850, 19, 204, 2310, 15575, 630, 2075, 566, 2080, 329, 2075, 566, 867, 9221, 311, 25919, 329, 572, 13503, 496, 566, 1698, 4331, 311, 770, 5544, 5337, 440, 1169, 6285, 302, 4960, 566, 867, 38978, 19, 2474, 2080, 311, 770, 490, 448, 17580, 17, 3638, 490, 1818, 1025, 275, 4799, 17, 3220, 17, 510, 17, 521, 636, 14119, 302, 490, 19, 2416, 34497, 275, 5107, 566, 4331, 311, 3074, 17, 566, 1966, 273, 308, 3677, 440, 5544, 19035, 329, 15993, 848, 4622, 440, 275, 2086, 19, 2474, 3756, 7845, 11084, 3106, 685, 1704, 308, 3677, 830, 630, 5602, 19, 13472, 566, 2249, 1704, 1561, 1225, 348, 273, 3747, 17, 329, 2075, 566, 1193, 867, 496, 566, 867, 16428, 16622, 685, 1704, 45846, 329, 850, 8523, 375, 2404, 566, 2080, 275, 7048, 496, 566, 7051, 11076, 884, 89, 1519, 1910, 302, 275, 13168, 292, 1422, 19, 1547, 867, 273, 7353, 4193, 16194, 17, 329, 2219, 8735, 5287, 322, 416, 2181, 5287, 14, 566, 3848, 1376, 275, 1561, 311, 3550, 523, 1913, 302, 1704, 1225, 19, 204, 673, 4960, 353, 275, 4793, 3821, 19, 334, 872, 353, 275, 3508, 917, 19, 4253, 275, 29816, 329, 5107, 529, 275, 4147, 302, 275, 1561, 19, 204, 4063, 490, 884, 88, 1214, 3638, 311, 838, 1214, 3346, 1561, 19, 334, 1043, 1085, 353, 311, 636, 4199, 523, 2075, 872, 3480, 311, 25919, 19, 5512, 490, 884, 88, 523, 275, 9819, 1085, 302, 4141, 273, 1352, 496, 37180, 28862, 5178, 872, 497, 1214, 4145, 917, 329, 4793, 11231, 311, 1214, 2423, 1351, 322, 15589, 24764, 1901, 302, 275, 22275, 789, 204, 3728, 884, 88, 9003, 4636, 36, 322, 1834, 4658, 872, 4382, 22641, 523, 2075, 872, 618, 2270, 523, 6268, 204, 3728, 884, 88, 7845, 9003, 4636, 36, 322, 1834, 4658, 872, 4382, 22641, 523, 275, 9901, 872, 1519, 6268, 204, 22197, 16361, 31, 4347, 275, 917, 872, 874, 311, 1895, 275, 6646, 311, 770, 5805, 440, 275, 4793, 7186, 322, 286, 1120, 11430, 275, 5568, 302, 9901, 872, 1519, 14, 204, 16938, 981, 31, 37888, 2075, 872, 874, 311, 770, 440, 8523, 375, 17, 11466, 17, 19035, 17, 903, 27259, 521, 18000, 872, 1519, 311, 34497, 275, 2086, 872, 1519, 311, 3074, 19, 0, 676, 4534, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 22934, 4201, 458, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 700, 31, 1169, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 944, 440, 273, 800, 700, 19, 204, 822, 268, 457, 31, 204, 305, 700, 322, 1933, 330, 334, 700, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 876, 289, 700, 204, 268, 370, 19, 2715, 289, 443, 204, 204, 676, 387, 17177, 25671, 31, 204, 264, 320, 5272, 273, 22934, 4201, 458, 1279, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 1392, 22934, 4201, 458, 19, 204, 268, 320, 204, 268, 370, 19, 1885, 289, 443, 204, 268, 370, 19, 3809, 289, 443, 204, 268, 370, 19, 835, 289, 500, 204, 204, 264, 436, 881, 68, 1885, 13, 327, 17, 944, 31, 4534, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 944, 311, 275, 1526, 302, 275, 458, 19, 204, 822, 268, 457, 31, 204, 305, 944, 322, 2533, 330, 334, 944, 311, 881, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 758, 275, 1526, 329, 10239, 311, 275, 717, 944, 204, 268, 397, 370, 19, 1885, 353, 443, 31, 204, 305, 370, 19, 1885, 289, 944, 204, 305, 370, 19, 3809, 289, 944, 204, 268, 314, 9444, 17, 881, 275, 717, 944, 311, 275, 1526, 302, 275, 458, 204, 268, 902, 31, 204, 305, 944, 19, 2715, 289, 370, 19, 1885, 204, 305, 370, 19, 1885, 289, 944, 204, 268, 370, 19, 835, 1412, 368, 204, 204, 264, 436, 881, 68, 3809, 13, 327, 17, 944, 31, 4534, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 944, 311, 275, 10239, 302, 275, 458, 19, 204, 822, 268, 457, 31, 204, 305, 944, 322, 2533, 330, 334, 944, 311, 881, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 758, 275, 1526, 329, 10239, 311, 275, 717, 944, 204, 268, 397, 370, 19, 3809, 353, 443, 31, 204, 305, 370, 19, 1885, 289, 944, 204, 305, 370, 19, 3809, 289, 944, 204, 268, 314, 9444, 17, 881, 275, 717, 944, 311, 275, 10239, 302, 275, 458, 204, 268, 902, 31, 204, 305, 370, 19, 3809, 19, 2715, 289, 944, 204, 305, 370, 19, 3809, 289, 944, 204, 268, 370, 19, 835, 1412, 368, 204, 204, 264, 436, 3142, 68, 1885, 13, 327, 14, 393, 4534, 31, 204, 268, 320, 204, 268, 8847, 275, 944, 630, 275, 1526, 302, 275, 458, 19, 204, 822, 268, 475, 31, 204, 305, 4534, 31, 334, 5748, 944, 17, 521, 443, 397, 275, 458, 353, 1392, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 407, 443, 204, 268, 397, 370, 19, 1885, 353, 443, 31, 204, 305, 407, 443, 204, 268, 314, 9444, 17, 3142, 275, 944, 630, 275, 1526, 302, 275, 458, 204, 268, 902, 31, 204, 305, 5748, 68, 1241, 289, 370, 19, 1885, 204, 305, 370, 19, 1885, 289, 370, 19, 1885, 19, 2715, 204, 305, 314, 828, 275, 458, 353, 3303, 1392, 17, 758, 275, 10239, 311, 443, 204, 305, 397, 370, 19, 1885, 353, 443, 31, 204, 485, 370, 19, 3809, 289, 443, 204, 305, 370, 19, 835, 4922, 368, 204, 305, 407, 5748, 68, 1241, 204, 204, 264, 436, 3142, 68, 3809, 13, 327, 14, 393, 4534, 31, 204, 268, 320, 204, 268, 8847, 275, 944, 630, 275, 10239, 302, 275, 458, 19, 204, 822, 268, 475, 31, 204, 305, 4534, 31, 334, 5748, 944, 17, 521, 443, 397, 275, 458, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 353, 1392, 19, 204, 268, 320, 204, 268, 314, 828, 275, 458, 353, 1392, 17, 407, 443, 204, 268, 397, 370, 19, 3809, 353, 443, 31, 204, 305, 407, 443, 204, 268, 314, 9444, 17, 3142, 275, 944, 630, 275, 10239, 302, 275, 458, 204, 268, 902, 31, 204, 305, 314, 828, 275, 458, 1698, 869, 1051, 944, 17, 3142, 275, 1526, 329, 10239, 204, 305, 397, 370, 19, 1885, 564, 370, 19, 3809, 31, 204, 485, 5748, 68, 1241, 289, 370, 19, 1885, 204, 485, 370, 19, 1885, 289, 443, 204, 485, 370, 19, 3809, 289, 443, 204, 305, 314, 9444, 17, 1020, 275, 1350, 18, 633, 18, 2391, 944, 329, 3142, 275, 10239, 204, 305, 902, 31, 204, 485, 790, 289, 370, 19, 1885, 204, 485, 1335, 790, 19, 2715, 2167, 370, 19, 3809, 31, 204, 895, 790, 289, 790, 19, 2715, 204, 485, 5748, 68, 1241, 289, 370, 19, 3809, 204, 485, 790, 19, 2715, 289, 443, 204, 485, 370, 19, 3809, 289, 790, 204, 305, 370, 19, 835, 4922, 368, 204, 305, 407, 5748, 68, 1241, 204, 204, 264, 436, 456, 68, 655, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 4201, 458, 19, 204, 268, 320, 204, 268, 790, 289, 370, 19, 1885, 204, 268, 1335, 790, 353, 508, 443, 31, 204, 305, 456, 13, 1976, 19, 876, 17, 1136, 1022, 2810, 204, 305, 790, 289, 790, 19, 2715, 204, 268, 456, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 717, 22934, 4201, 458, 204, 264, 4201, 68, 655, 289, 387, 17177, 25671, 374, 204, 615, 264, 314, 1255, 2731, 311, 275, 458, 204, 264, 348, 296, 292, 933, 13, 22, 17, 931, 330, 204, 268, 4201, 68, 655, 19, 826, 68, 1885, 13, 2533, 13, 78, 602, 204, 615, 264, 314, 1198, 275, 4201, 458, 204, 264, 456, 499, 32194, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 615, 264, 314, 1255, 273, 717, 944, 311, 275, 1526, 302, 275, 458, 204, 264, 4201, 68, 655, 19, 826, 68, 1885, 13, 2533, 499, 81, 365, 84, 3687, 204, 615, 264, 314, 1198, 275, 2908, 4201, 458, 204, 264, 456, 499, 10510, 23767, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 615, 264, 314, 3182, 275, 944, 630, 275, 1526, 302, 275, 458, 204, 264, 5748, 68, 1241, 289, 4201, 68, 655, 19, 3956, 68, 1885, 374, 204, 264, 456, 499, 36032, 4534, 2180, 5748, 68, 1241, 19, 876, 397, 5748, 68, 1241, 902, 443, 14, 204, 615, 264, 314, 1198, 275, 2908, 4201, 458, 204, 264, 456, 499, 10510, 23767, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 615, 264, 314, 3182, 275, 944, 630, 275, 10239, 302, 275, 458, 204, 264, 5748, 68, 1241, 289, 4201, 68, 655, 19, 3956, 68, 3809, 374, 204, 264, 456, 499, 36032, 4534, 2180, 5748, 68, 1241, 19, 876, 397, 5748, 68, 1241, 902, 443, 14, 204, 615, 264, 314, 1198, 275, 2908, 4201, 458, 204, 264, 456, 499, 10510, 23767, 783, 2212, 204, 264, 4201, 68, 655, 19, 2102, 68, 655, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 14225, 275, 800, 2231, 31, 716, 204, 8515, 1209, 11775, 22, 18, 23, 1134, 23, 2422, 24, 14040, 1003, 98, 338, 688, 1209, 96, 23, 2422, 26, 9844, 18, 22, 13, 29, 14040, 22, 7836, 204, 204, 6702, 368, 31, 8730, 275, 7145, 329, 5081, 302, 848, 4628, 19, 204, 204, 8515, 1209, 11775, 24, 36711, 27, 16, 1003, 98, 338, 688, 1209, 11775, 1003, 36711, 29, 16, 22, 7836, 204, 204, 6702, 435, 31, 14207, 5620, 275, 18604, 19, 204, 204, 8515, 1209, 11775, 24, 1134, 25, 98, 338, 688, 1209, 11775, 1003, 36711, 28, 7836, 204, 204, 6702, 571, 31, 8730, 275, 1350, 4628, 560, 8631, 273, 2917, 560, 273, 2917, 17, 928, 1563, 292, 273, 2140, 19, 204, 204, 8515, 1209, 11775, 24, 1134, 25, 98, 338, 688, 1209, 96, 1003, 1134, 28, 7836, 204, 204, 6702, 681, 31, 1752, 273, 2323, 5081, 348, 275, 970, 6249, 19, 334, 3406, 2323, 3536, 302, 681, 329, 1168, 353, 4662, 19, 204, 204, 8515, 1209, 11775, 24, 688, 2760, 1168, 1134, 25, 688, 2760, 1168, 98, 338, 688, 1209, 96, 1003, 688, 2760, 681, 1134, 28, 688, 2760, 681, 7836, 204, 204, 8515, 1209, 11775, 3699, 1134, 4023, 98, 338, 688, 1209, 96, 2169, 1134, 4023, 7836, 204, 204, 6702, 720, 31, 9587, 275, 6249, 19, 204, 204, 8515, 1209, 11775, 3699, 338, 2846, 1134, 4023, 7836, 204, 204, 8515, 1209, 11775, 10128, 1134, 4023, 7836, 204, 204, 6702, 887, 31, 2208, 275, 20254, 4628, 311, 273, 9493, 542, 19, 204, 204, 3266, 18, 23, 65, 1209, 96, 26, 1134, 4023, 7836, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 11775, 23, 65, 1209, 96, 26, 1134, 4023, 10512, 0, 531, 1498, 532, 1061, 17, 1884, 204, 647, 47955, 448, 406, 204, 204, 461, 2037, 68, 14188, 68, 12420, 68, 12144, 13, 204, 264, 1112, 31, 421, 17, 716, 264, 1184, 68, 644, 31, 394, 17, 716, 264, 1184, 31, 1061, 17, 716, 264, 1012, 68, 438, 31, 421, 17, 716, 264, 7582, 68, 932, 31, 394, 289, 379, 39752, 491, 716, 264, 717, 31, 1109, 289, 1078, 17, 716, 264, 5025, 31, 1109, 289, 959, 17, 716, 264, 2296, 5417, 31, 1109, 289, 1078, 204, 14, 393, 1884, 64, 2107, 17, 394, 17, 1061, 744, 204, 264, 320, 204, 264, 10616, 437, 7582, 12070, 8320, 292, 16303, 13981, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1112, 322, 339, 330, 334, 1112, 302, 275, 7582, 1184, 19, 204, 264, 338, 1184, 68, 644, 322, 325, 330, 334, 896, 302, 275, 7582, 1184, 19, 204, 264, 338, 1184, 322, 1665, 330, 334, 7582, 1184, 424, 19, 204, 264, 338, 1012, 68, 438, 322, 339, 330, 334, 1012, 2523, 302, 275, 7582, 1184, 19, 204, 264, 338, 7582, 68, 932, 322, 325, 17, 1448, 330, 334, 1187, 302, 7582, 322, 2305, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 379, 39752, 3930, 204, 264, 338, 717, 322, 2107, 17, 1448, 330, 2266, 275, 7582, 1184, 353, 717, 322, 2305, 31, 1078, 789, 204, 264, 338, 5025, 322, 2107, 17, 1448, 330, 2266, 311, 2255, 5025, 322, 2305, 31, 959, 789, 204, 264, 338, 2296, 5417, 322, 2107, 17, 1448, 330, 2266, 311, 2296, 5417, 275, 7582, 322, 2305, 31, 1078, 789, 204, 204, 264, 475, 31, 204, 264, 338, 1884, 64, 2107, 17, 394, 17, 1061, 744, 332, 927, 1174, 273, 8051, 5850, 1978, 17, 275, 588, 302, 275, 7582, 1184, 17, 329, 275, 2908, 7582, 1184, 424, 19, 204, 264, 320, 204, 204, 264, 314, 968, 3454, 348, 11192, 886, 204, 264, 8719, 68, 10310, 61, 68, 9572, 289, 500, 19, 1511, 204, 264, 8438, 68, 10310, 61, 68, 9572, 289, 368, 19, 21, 204, 204, 264, 314, 666, 273, 717, 7582, 1184, 955, 204, 264, 717, 68, 1271, 289, 2552, 3949, 597, 500, 19, 21, 98, 204, 204, 264, 314, 3740, 275, 7582, 1800, 204, 264, 9455, 68, 998, 289, 1112, 465, 368, 204, 264, 7582, 68, 1676, 17, 1824, 17, 1629, 289, 406, 19, 3786, 1802, 22, 17, 435, 17, 435, 602, 204, 264, 7582, 68, 1676, 19, 17133, 13, 75, 1954, 14188, 68, 932, 98, 14153, 31981, 12751, 68, 998, 743, 204, 204, 264, 314, 763, 275, 588, 302, 275, 7582, 1184, 204, 264, 1068, 68, 1676, 289, 379, 2687, 12, 204, 264, 397, 717, 31, 204, 268, 1068, 68, 1676, 1412, 379, 322, 28773, 1185, 12386, 23465, 15795, 204, 264, 588, 289, 1824, 19, 492, 68, 768, 13, 204, 268, 1068, 68, 1676, 17, 716, 268, 700, 34, 1271, 68, 644, 17, 716, 268, 896, 34, 75, 4705, 14188, 68, 932, 6803, 417, 1859, 998, 2867, 204, 264, 1179, 204, 204, 264, 314, 763, 275, 1690, 302, 275, 7582, 1184, 204, 264, 1690, 289, 1629, 19, 1190, 68, 768, 13, 204, 268, 283, 12, 21305, 491, 716, 268, 700, 34, 1271, 736, 3949, 2043, 716, 268, 896, 34, 75, 4705, 14188, 68, 932, 6803, 3949, 1859, 998, 2867, 204, 264, 1179, 204, 264, 717, 68, 1271, 736, 3949, 839, 289, 1690, 204, 204, 264, 314, 3740, 2914, 348, 5025, 17, 1136, 2523, 17, 329, 21872, 204, 264, 2914, 289, 406, 19, 3786, 13, 25, 14, 204, 264, 1682, 68, 6772, 68, 6182, 289, 500, 204, 264, 397, 5025, 31, 204, 268, 2255, 68, 10924, 289, 2914, 64, 2715, 68, 6772, 68, 6182, 1664, 26355, 13, 204, 305, 283, 12, 27845, 22919, 716, 305, 700, 21383, 10924, 12, 292, 1184, 659, 716, 305, 896, 34, 75, 4705, 14188, 68, 932, 6803, 10203, 68, 10924, 1859, 998, 2867, 204, 268, 1179, 204, 268, 1682, 68, 6772, 68, 6182, 1412, 368, 204, 268, 397, 2255, 68, 10924, 31, 204, 305, 1540, 68, 10924, 289, 1184, 19, 505, 611, 10924, 491, 8719, 68, 10310, 61, 68, 9572, 14, 204, 305, 717, 68, 1271, 736, 10924, 839, 289, 2914, 64, 2715, 68, 6772, 68, 6182, 1664, 20290, 13, 204, 485, 283, 12, 27845, 12430, 491, 716, 485, 700, 34, 2305, 68, 10924, 540, 1607, 17, 716, 485, 1006, 68, 876, 34, 21, 19, 21, 17, 716, 485, 846, 68, 876, 34, 5605, 68, 10310, 61, 68, 9572, 540, 1607, 17, 716, 485, 1660, 34, 22, 19, 21, 17, 716, 485, 896, 34, 75, 4705, 14188, 68, 932, 6803, 10924, 68, 1949, 1859, 998, 2867, 204, 305, 1179, 802, 1607, 19, 21, 204, 204, 264, 314, 3168, 322, 5243, 302, 275, 1576, 6786, 275, 1729, 14, 204, 204, 264, 407, 959, 17, 588, 17, 717, 68, 1271, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1184, 289, 2552, 3949, 597, 3861, 19, 21, 17, 379, 10924, 597, 500, 19, 1511, 98, 204, 264, 1978, 17, 588, 17, 717, 68, 1271, 289, 2037, 68, 14188, 68, 12420, 68, 12144, 13, 21, 17, 379, 1271, 22, 491, 1184, 17, 2019, 14, 204, 264, 456, 13, 75, 7, 14734, 31, 463, 5937, 1522, 4014, 31, 463, 417, 1522, 2991, 9342, 31, 463, 1957, 68, 1271, 743, 204, 0, 647, 2010, 448, 645, 204, 647, 1127, 204, 647, 6032, 448, 1774, 204, 647, 8729, 204, 531, 4378, 532, 29087, 448, 1513, 204, 531, 10271, 532, 3207, 204, 531, 8775, 532, 1800, 68, 1608, 68, 3978, 204, 531, 8775, 532, 17574, 68, 2918, 448, 2015, 68, 3978, 204, 647, 690, 204, 204, 461, 1137, 68, 809, 13, 546, 68, 633, 68, 23710, 31, 394, 14, 393, 1774, 19, 5963, 31, 204, 264, 320, 204, 264, 1385, 273, 17657, 12105, 1582, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 832, 68, 633, 68, 23710, 322, 325, 330, 2621, 311, 275, 7974, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1774, 19, 5963, 31, 9387, 12105, 1582, 19, 204, 264, 320, 204, 264, 7151, 68, 1944, 289, 1774, 19, 5963, 374, 204, 264, 440, 7151, 68, 1944, 19, 402, 68, 2305, 1293, 204, 268, 18057, 68, 1944, 68, 461, 289, 1774, 19, 5963, 7146, 374, 204, 268, 440, 1774, 19, 76, 553, 19, 44, 2597, 13, 546, 68, 633, 68, 23710, 17, 379, 6952, 534, 448, 44131, 31, 204, 305, 11948, 68, 1944, 289, 44131, 19, 976, 374, 204, 305, 18057, 68, 1944, 68, 461, 19, 19353, 7374, 4269, 13, 15148, 68, 1944, 14, 204, 305, 1774, 19, 647, 68, 1944, 68, 461, 13, 478, 68, 1944, 68, 461, 17, 588, 11456, 204, 264, 407, 7151, 68, 1944, 204, 204, 461, 1137, 68, 1676, 68, 1608, 13, 546, 68, 633, 68, 2185, 31, 394, 17, 771, 68, 3191, 31, 421, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 273, 1800, 2304, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 832, 68, 633, 68, 2185, 322, 325, 330, 2621, 311, 275, 1800, 2304, 510, 19, 204, 268, 771, 68, 3191, 322, 339, 330, 3239, 302, 4364, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 8953, 1112, 955, 19, 204, 264, 320, 204, 264, 1800, 68, 1608, 289, 1800, 68, 1608, 68, 3978, 19, 986, 68, 1676, 1608, 13, 546, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 633, 68, 2185, 14, 204, 264, 5981, 289, 1800, 68, 1608, 68, 3978, 19, 6470, 68, 1676, 68, 1608, 68, 633, 68, 7983, 13, 1676, 68, 1608, 17, 846, 68, 920, 68, 3191, 34, 920, 68, 3191, 17, 732, 68, 2994, 68, 417, 34, 1021, 14, 204, 264, 2851, 68, 998, 289, 1800, 68, 1608, 68, 3978, 19, 1510, 68, 3924, 68, 998, 13, 7983, 14, 204, 264, 407, 2851, 68, 998, 204, 204, 461, 1137, 68, 935, 68, 10247, 68, 5770, 68, 643, 13, 935, 31, 3207, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 10271, 3207, 726, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 2355, 302, 275, 752, 19, 204, 264, 320, 204, 264, 322, 449, 68, 2435, 17, 2904, 68, 2757, 14, 289, 752, 19, 835, 204, 264, 407, 645, 19, 643, 13, 935, 19, 505, 481, 13725, 6358, 1802, 449, 68, 2757, 17, 2904, 68, 2435, 17, 571, 8093, 7532, 13, 1123, 19, 9283, 29, 14, 204, 204, 461, 4522, 68, 2856, 13, 12355, 68, 1944, 31, 1774, 19, 5963, 17, 752, 68, 546, 31, 394, 17, 2851, 68, 998, 31, 1135, 14, 393, 818, 31, 204, 264, 320, 204, 264, 9557, 2828, 292, 437, 752, 974, 273, 678, 18, 7245, 570, 19, 204, 204, 264, 457, 31, 204, 268, 7151, 68, 1944, 322, 2987, 19, 5963, 330, 9387, 12105, 1582, 19, 204, 268, 752, 68, 546, 322, 325, 330, 2621, 311, 275, 752, 510, 19, 204, 268, 2851, 68, 998, 322, 873, 330, 8953, 1112, 955, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 39425, 690, 292, 3331, 19, 204, 264, 320, 204, 264, 314, 763, 10013, 497, 275, 1582, 204, 264, 440, 7151, 68, 1944, 19, 402, 68, 2305, 1293, 204, 268, 752, 68, 3116, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 935, 68, 3116, 31, 21, 534, 204, 268, 7151, 68, 7040, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 7040, 31, 21, 534, 204, 268, 7151, 68, 4319, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 4319, 31, 21, 534, 204, 268, 7151, 68, 3191, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 3191, 31, 21, 534, 204, 268, 771, 68, 24381, 289, 7151, 68, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 920, 68, 24381, 31, 21, 534, 204, 204, 264, 314, 1385, 752, 329, 1814, 311, 2010, 1348, 204, 264, 752, 289, 3207, 19, 3664, 13, 935, 68, 546, 14, 204, 264, 752, 68, 1123, 289, 1137, 68, 935, 68, 10247, 68, 5770, 68, 643, 13, 935, 14, 204, 264, 752, 68, 1123, 68, 32423, 289, 645, 19, 11185, 68, 10840, 13, 935, 68, 1123, 17, 3138, 34, 21, 14, 204, 204, 264, 314, 666, 273, 2067, 329, 1523, 275, 7151, 204, 264, 440, 1774, 19, 5191, 13, 1944, 34, 12355, 68, 1944, 14, 448, 9897, 31, 204, 268, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 268, 322, 7040, 17, 3703, 17, 4364, 17, 771, 14, 289, 9897, 19, 1777, 13, 204, 305, 551, 12355, 68, 7040, 17, 7151, 68, 4319, 17, 7151, 68, 3191, 17, 771, 68, 24381, 648, 204, 305, 4182, 68, 873, 2508, 935, 68, 3116, 31, 752, 68, 1123, 68, 32423, 98, 204, 268, 1179, 204, 268, 318, 15743, 68, 834, 289, 690, 19, 834, 374, 338, 1012, 68, 834, 204, 204, 268, 314, 12626, 275, 19078, 204, 268, 2015, 68, 3978, 19, 34627, 68, 7040, 68, 416, 68, 2185, 68, 271, 68, 935, 68, 643, 13, 204, 305, 752, 68, 1123, 17, 204, 305, 645, 19, 16916, 13, 7040, 659, 204, 305, 645, 19, 16916, 13, 3191, 789, 7532, 13, 1123, 19, 339, 2177, 659, 204, 305, 645, 19, 16916, 13, 4319, 659, 204, 305, 2851, 68, 998, 17, 204, 305, 732, 68, 13651, 68, 5099, 34, 1021, 17, 204, 305, 1007, 68, 22208, 34, 24, 14, 204, 204, 268, 314, 3025, 275, 919, 752, 204, 268, 919, 68, 546, 289, 1127, 19, 546, 19, 1541, 611, 2826, 491, 1127, 19, 546, 19, 11498, 13, 935, 68, 546, 602, 204, 268, 1513, 19, 449, 2360, 13, 1420, 68, 546, 17, 752, 68, 1123, 14, 204, 204, 268, 407, 318, 15743, 68, 834, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 6408, 204, 264, 832, 68, 633, 68, 23710, 289, 379, 546, 68, 633, 68, 23710, 12, 204, 264, 832, 68, 633, 68, 2185, 289, 379, 546, 68, 633, 68, 2185, 12, 204, 264, 771, 68, 3191, 289, 4950, 204, 264, 832, 68, 633, 68, 804, 68, 2936, 68, 1217, 289, 379, 546, 68, 633, 68, 804, 68, 2936, 68, 1217, 12, 204, 204, 264, 314, 1385, 570, 329, 1800, 2304, 204, 264, 7151, 68, 1944, 289, 1137, 68, 809, 13, 546, 68, 633, 68, 23710, 14, 204, 264, 2851, 68, 998, 289, 1137, 68, 1676, 68, 1608, 13, 546, 68, 633, 68, 2185, 17, 771, 68, 3191, 14, 204, 204, 264, 314, 763, 683, 752, 3630, 204, 264, 683, 68, 935, 68, 3880, 289, 8729, 19, 10944, 13, 865, 19, 546, 19, 1541, 13, 546, 68, 633, 68, 804, 68, 2936, 68, 1217, 17, 33840, 5684, 3063, 204, 204, 264, 314, 2466, 726, 7151, 523, 848, 752, 204, 264, 12849, 68, 2760, 289, 1306, 204, 264, 348, 752, 68, 546, 292, 683, 68, 935, 68, 3880, 31, 204, 268, 12849, 68, 834, 289, 4522, 68, 2856, 13, 12355, 68, 1944, 17, 752, 68, 546, 17, 2851, 68, 998, 14, 204, 268, 12849, 68, 2760, 19, 1223, 13, 20361, 68, 834, 14, 204, 204, 264, 314, 1198, 1563, 204, 264, 456, 499, 3103, 13179, 348, 848, 2023, 289, 14761, 2478, 13, 20361, 68, 2760, 602, 204, 264, 456, 499, 20900, 302, 2907, 353, 2087, 3331, 20, 1669, 2948, 2478, 13, 1123, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3037, 13, 20361, 68, 2760, 64, 22, 5853, 3694, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 658, 44457, 302, 273, 8639, 11036, 204, 204, 38, 7032, 348, 273, 2450, 2817, 686, 59, 9, 353, 273, 16034, 758, 302, 5302, 496, 26644, 686, 59, 2176, 6703, 4089, 6235, 17, 490, 353, 273, 758, 302, 5302, 496, 353, 22071, 6403, 329, 26644, 686, 59, 2176, 204, 204, 1449, 1356, 397, 273, 758, 302, 5302, 4840, 273, 7032, 17, 572, 1519, 311, 6767, 970, 4042, 31, 204, 204, 22, 19, 930, 6446, 27994, 1416, 334, 758, 302, 5302, 353, 22071, 6403, 17, 5268, 496, 11077, 302, 275, 5302, 618, 444, 8286, 448, 273, 3542, 5660, 302, 275, 5261, 19, 204, 23, 19, 930, 26963, 1240, 1416, 334, 758, 302, 5302, 26644, 686, 59, 2543, 5268, 496, 2589, 2450, 292, 686, 59, 9, 618, 444, 8286, 448, 273, 3542, 5660, 302, 275, 5302, 292, 275, 758, 19, 204, 204, 1380, 9134, 204, 204, 22, 19, 592, 1743, 8711, 96, 55, 8611, 24, 2543, 275, 758, 1743, 1735, 65, 3164, 6411, 96, 11265, 98, 368, 4727, 21, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 22, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 21, 4727, 22, 65, 409, 96, 11265, 2277, 1633, 24935, 353, 273, 7032, 2404, 490, 353, 22071, 6403, 329, 26644, 1743, 8711, 96, 55, 8611, 24, 2176, 204, 23, 19, 334, 758, 25626, 93, 67, 23, 17, 610, 17, 368, 24935, 353, 273, 7032, 348, 275, 2450, 2817, 302, 15866, 292, 686, 93, 9, 440, 2318, 5692, 5701, 5746, 630, 1901, 686, 23, 2176, 204, 204, 658, 22198, 302, 273, 8639, 11036, 204, 204, 673, 5117, 302, 273, 2450, 2817, 686, 59, 2543, 13772, 560, 1743, 2230, 13, 59, 9852, 353, 275, 542, 302, 5302, 292, 273, 7032, 348, 686, 59, 2176, 12320, 7032, 348, 686, 59, 9, 869, 275, 1729, 542, 302, 5302, 19, 204, 204, 15, 334, 5117, 302, 1743, 8711, 96, 55, 8611, 83, 9, 353, 686, 83, 2176, 204, 15, 334, 5117, 302, 275, 2450, 2817, 302, 15866, 292, 686, 93, 9, 440, 2318, 5692, 5701, 5746, 630, 1901, 686, 23, 9, 353, 686, 24, 2176, 204, 15, 332, 2450, 2817, 496, 9995, 302, 1698, 275, 2962, 2450, 869, 5117, 686, 21, 2176, 204, 204, 658, 30414, 204, 204, 22, 19, 930, 39, 13450, 348, 1743, 8711, 96, 43, 8611, 25, 9, 1416, 332, 7032, 348, 1743, 8711, 96, 43, 8611, 25, 9, 353, 1743, 1735, 65, 3164, 6411, 96, 11265, 98, 368, 4727, 21, 4727, 21, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 22, 4727, 21, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 21, 4727, 22, 4727, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 4727, 21, 4727, 21, 4727, 22, 65, 409, 96, 11265, 2277, 1633, 36411, 204, 23, 19, 930, 39, 13450, 348, 1743, 8711, 96, 55, 5609, 23, 65, 2760, 435, 1617, 1416, 332, 7032, 348, 1743, 8711, 96, 55, 5609, 23, 65, 2760, 435, 1617, 353, 1743, 1735, 65, 3164, 6411, 96, 11265, 98, 368, 11, 21, 4727, 21, 11, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 11, 22, 4727, 21, 11, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 11, 21, 4727, 22, 11, 21, 65, 409, 96, 11265, 1522, 688, 6411, 96, 11265, 98, 500, 11, 21, 4727, 21, 11, 22, 65, 409, 96, 11265, 2277, 1633, 36411, 204, 24, 19, 930, 25641, 302, 275, 2450, 2817, 302, 15866, 292, 686, 93, 9, 440, 2318, 5692, 5701, 5746, 630, 1901, 686, 24, 9, 1416, 334, 5117, 353, 686, 25, 2543, 440, 273, 7032, 800, 560, 25626, 93, 67, 24, 17, 610, 67, 23, 17, 610, 17, 368, 36411, 0, 647, 24394, 43959, 204, 647, 1127, 204, 647, 304, 204, 647, 9688, 204, 647, 4845, 204, 647, 2454, 204, 647, 15481, 204, 647, 30537, 204, 647, 7124, 19, 1443, 204, 204, 461, 353, 68, 5207, 24, 374, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 790, 4847, 2585, 353, 571, 521, 5092, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 790, 4847, 2585, 353, 571, 521, 5092, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 407, 2454, 19, 2256, 68, 1270, 19, 11393, 564, 571, 204, 204, 461, 3106, 68, 398, 13, 14231, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8414, 719, 275, 6610, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 6610, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6610, 1445, 19, 204, 264, 320, 204, 264, 314, 3182, 275, 6610, 1445, 397, 490, 2560, 204, 264, 397, 1127, 19, 546, 19, 16249, 13, 14231, 68, 546, 330, 204, 268, 9688, 19, 23304, 13, 14231, 68, 546, 14, 204, 204, 461, 2811, 68, 13258, 68, 12024, 13, 13258, 68, 12024, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3055, 11008, 3731, 19, 204, 204, 264, 457, 31, 204, 268, 11008, 68, 12024, 322, 655, 330, 332, 458, 302, 11008, 3731, 311, 2811, 19, 204, 264, 320, 204, 264, 314, 666, 273, 6610, 1445, 204, 264, 6610, 68, 546, 289, 15481, 19, 10751, 73, 3294, 374, 204, 615, 264, 314, 666, 273, 11008, 510, 204, 264, 1235, 68, 2029, 289, 1127, 19, 546, 19, 1541, 13, 14231, 68, 546, 17, 388, 13258, 68, 12024, 19, 2141, 431, 204, 615, 264, 314, 3400, 11008, 3731, 311, 275, 510, 204, 264, 440, 1451, 13, 2141, 68, 2029, 17, 388, 92, 431, 448, 1235, 553, 31, 204, 268, 1235, 553, 19, 2206, 499, 10184, 34572, 30446, 12815, 720, 19, 473, 65, 83, 431, 204, 822, 268, 348, 2652, 292, 11008, 68, 12024, 31, 204, 305, 1235, 553, 19, 2206, 13, 75, 1954, 3573, 736, 644, 24743, 83, 96, 3573, 736, 876, 24743, 83, 65, 83, 431, 204, 615, 264, 314, 4390, 275, 11008, 510, 204, 264, 1352, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 289, 4845, 19, 20033, 13, 75, 7, 2141, 532, 463, 2141, 68, 2029, 743, 204, 264, 1352, 19, 34616, 374, 204, 615, 264, 314, 778, 397, 275, 532, 867, 2707, 204, 264, 397, 1352, 19, 25220, 2167, 500, 31, 204, 268, 980, 1319, 499, 3504, 311, 2811, 11008, 2557, 5397, 204, 204, 461, 16485, 68, 647, 68, 48161, 68, 1538, 68, 26063, 374, 393, 443, 31, 204, 264, 320, 204, 264, 20786, 275, 532, 33095, 348, 18273, 19, 204, 264, 320, 204, 264, 314, 968, 275, 3630, 311, 275, 6545, 1087, 19, 11092, 329, 813, 15513, 19, 9948, 1860, 204, 264, 832, 68, 633, 68, 4881, 1087, 68, 11092, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 4969, 1166, 8346, 2375, 2869, 388, 17094, 18273, 528, 388, 18510, 528, 388, 38385, 528, 388, 4881, 1087, 19, 11092, 431, 204, 264, 832, 68, 633, 68, 703, 15513, 68, 9948, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 4969, 1166, 8346, 2375, 2869, 388, 17094, 18273, 528, 388, 703, 15513, 19, 9948, 431, 204, 615, 264, 314, 968, 275, 4578, 302, 275, 6545, 1087, 19, 11092, 329, 813, 15513, 19, 9948, 1860, 204, 264, 6545, 1087, 68, 11092, 289, 320, 204, 264, 3166, 2334, 3777, 19, 11757, 10447, 1963, 38618, 19, 703, 15513, 19, 4563, 20, 278, 18, 3322, 20, 19827, 20, 2101, 13075, 68, 21981, 348, 1182, 3986, 19, 204, 264, 45310, 499, 17246, 19, 1087, 19, 2029, 528, 388, 703, 15513, 19, 9948, 27340, 204, 264, 45310, 499, 17246, 19, 1087, 19, 1073, 721, 562, 68, 876, 528, 500, 5224, 204, 264, 320, 204, 615, 264, 813, 15513, 68, 9948, 289, 320, 204, 264, 3166, 20786, 1255, 18, 2527, 30656, 9101, 204, 264, 4199, 53, 3484, 499, 13753, 19, 2391, 3543, 11223, 27340, 204, 204, 264, 3166, 12647, 2964, 2248, 379, 24846, 1214, 7705, 12, 523, 1043, 1523, 204, 264, 45310, 499, 6964, 19, 40400, 19, 24, 19, 823, 938, 528, 3597, 5224, 204, 204, 264, 3166, 12647, 2964, 2248, 44040, 6001, 523, 1043, 1523, 1877, 2589, 1395, 204, 264, 45310, 499, 6964, 19, 37322, 19, 30535, 68, 24422, 19, 82, 9787, 19287, 12286, 27340, 204, 204, 264, 3166, 20786, 1540, 5214, 1356, 204, 264, 45310, 499, 6964, 19, 14436, 19, 2555, 13313, 26876, 528, 7463, 5224, 204, 204, 264, 3166, 12647, 2964, 4566, 311, 6348, 275, 23469, 7677, 204, 264, 45310, 499, 16652, 19, 20822, 14344, 43, 12089, 528, 7463, 5224, 204, 204, 264, 3166, 6648, 578, 7677, 9101, 204, 264, 7373, 53, 3484, 499, 16652, 19, 25209, 68, 1270, 3520, 68, 1538, 68, 607, 32785, 68, 11202, 528, 3597, 5224, 204, 264, 4199, 53, 3484, 499, 16652, 19, 2045, 19, 805, 27340, 204, 204, 264, 3166, 20786, 830, 424, 5991, 322, 29733, 8573, 329, 472, 24928, 14, 204, 264, 7373, 53, 3484, 499, 481, 38201, 19, 7641, 19, 481, 34011, 27964, 528, 7463, 5224, 204, 204, 264, 3166, 20786, 22631, 26702, 204, 264, 7373, 53, 3484, 499, 9747, 14132, 19, 46206, 38166, 19, 10782, 528, 7463, 5224, 204, 264, 35727, 19, 3191, 1166, 37, 703, 15513, 19, 4563, 20, 9747, 14132, 20, 46206, 18, 38166, 32, 22, 6925, 505, 5619, 13, 4654, 19940, 19, 19773, 19, 853, 3225, 321, 823, 43215, 789, 10414, 11443, 88, 289, 7463, 32, 204, 264, 320, 204, 615, 264, 314, 3400, 275, 4578, 311, 275, 1860, 204, 264, 440, 1451, 13, 546, 68, 633, 68, 4881, 1087, 68, 11092, 17, 388, 92, 431, 448, 6545, 1087, 31, 204, 268, 6545, 1087, 19, 2206, 13, 492, 15290, 19, 42636, 13, 4881, 1087, 68, 11092, 602, 204, 822, 264, 440, 1451, 13, 546, 68, 633, 68, 703, 15513, 68, 9948, 17, 388, 92, 431, 448, 813, 15513, 31, 204, 268, 813, 15513, 19, 2206, 13, 492, 15290, 19, 42636, 13, 703, 15513, 68, 9948, 602, 204, 204, 461, 3686, 68, 26063, 68, 7237, 68, 805, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4491, 275, 18273, 4065, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 18273, 4065, 1274, 19, 204, 264, 320, 204, 264, 1779, 289, 388, 3189, 1963, 4537, 19, 703, 15513, 19, 4563, 20, 278, 18, 3322, 20, 26063, 20, 668, 11291, 204, 264, 2679, 289, 388, 3189, 1963, 7237, 9371, 865, 34, 5450, 2562, 9371, 12084, 34, 1497, 18, 1599, 7, 204, 615, 264, 810, 31, 204, 268, 314, 4491, 275, 2966, 1666, 302, 275, 1472, 204, 268, 424, 289, 7124, 19, 1443, 19, 21526, 13, 805, 789, 976, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 463, 805, 2829, 463, 74, 743, 204, 615, 264, 314, 12210, 275, 424, 397, 3600, 204, 264, 397, 353, 68, 5207, 24, 1293, 204, 268, 424, 289, 424, 19, 5286, 499, 3102, 18, 29, 431, 204, 615, 264, 314, 6994, 348, 275, 4065, 1977, 204, 264, 2216, 289, 304, 19, 1803, 13, 4745, 17, 424, 14, 204, 264, 397, 508, 2216, 31, 204, 268, 980, 1319, 499, 3504, 311, 22848, 275, 4065, 1977, 348, 18273, 5397, 204, 615, 264, 407, 2216, 19, 2207, 13, 21, 14, 204, 204, 461, 3686, 68, 1241, 11092, 68, 7237, 68, 805, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4491, 275, 4534, 19, 11092, 4065, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4534, 19, 11092, 4065, 1274, 19, 204, 264, 320, 204, 264, 1779, 289, 388, 3189, 1963, 1241, 11092, 19, 4563, 20, 5249, 20, 12142, 18, 11891, 271, 7, 204, 264, 2679, 289, 28525, 1241, 18, 91, 19, 4406, 93, 2562, 19, 1015, 78, 13287, 12, 204, 615, 264, 810, 31, 204, 268, 314, 4491, 275, 2966, 1666, 302, 275, 1472, 204, 268, 424, 289, 7124, 19, 1443, 19, 21526, 13, 805, 789, 976, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 463, 805, 2829, 463, 74, 743, 204, 615, 264, 314, 12210, 275, 424, 397, 3600, 204, 264, 397, 353, 68, 5207, 24, 1293, 204, 268, 424, 289, 424, 19, 5286, 499, 3102, 18, 29, 431, 204, 615, 264, 314, 6994, 348, 275, 4065, 1977, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 2216, 289, 304, 19, 1803, 13, 4745, 17, 424, 14, 204, 264, 397, 508, 2216, 31, 204, 268, 980, 1319, 499, 3504, 311, 22848, 275, 4065, 1977, 348, 4534, 31504, 5397, 204, 615, 264, 407, 1779, 465, 34635, 465, 2216, 19, 2207, 13, 22, 14, 204, 204, 461, 3686, 68, 9502, 68, 7237, 68, 805, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4491, 275, 8680, 4065, 1274, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 8680, 4065, 1274, 19, 204, 264, 320, 204, 264, 1779, 289, 388, 3189, 1963, 9502, 18, 721, 82, 19, 1453, 20, 7237, 20, 5450, 7, 204, 264, 2679, 289, 388, 3189, 1963, 8750, 19, 1453, 9371, 18463, 19, 4406, 2562, 18, 3395, 19, 14385, 7, 204, 615, 264, 810, 31, 204, 268, 314, 4491, 275, 2966, 1666, 302, 275, 1472, 204, 268, 424, 289, 7124, 19, 1443, 19, 21526, 13, 805, 789, 976, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 463, 805, 2829, 463, 74, 743, 204, 615, 264, 314, 12210, 275, 424, 397, 3600, 204, 264, 397, 353, 68, 5207, 24, 1293, 204, 268, 424, 289, 424, 19, 5286, 499, 3102, 18, 29, 431, 204, 615, 264, 314, 6994, 348, 275, 4065, 1977, 204, 264, 2216, 289, 304, 19, 1803, 13, 4745, 17, 424, 14, 204, 264, 397, 508, 2216, 31, 204, 268, 980, 1319, 499, 3504, 311, 22848, 275, 4065, 1977, 348, 8680, 5397, 204, 615, 264, 407, 2216, 19, 2207, 13, 21, 14, 204, 204, 461, 4065, 68, 553, 13, 805, 31, 394, 17, 2049, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8467, 273, 510, 497, 273, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 4065, 497, 19, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 2106, 275, 510, 448, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 8467, 275, 510, 204, 268, 7124, 19, 1443, 19, 805, 16988, 13, 805, 17, 2049, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 4065, 463, 805, 2829, 463, 74, 743, 204, 204, 461, 6348, 68, 6964, 13, 8346, 31, 394, 17, 2049, 31, 394, 17, 6348, 68, 6052, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 16634, 273, 5214, 19, 204, 204, 264, 457, 31, 204, 268, 2548, 322, 325, 330, 334, 2548, 311, 6348, 19, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 6348, 497, 19, 204, 268, 6348, 68, 6052, 322, 325, 330, 334, 6348, 1906, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2049, 10045, 440, 2617, 1015, 78, 204, 264, 397, 2049, 19, 9641, 11837, 1015, 78, 6471, 204, 268, 456, 499, 53, 38664, 36221, 31, 828, 275, 2631, 15175, 8290, 27425, 17, 9626, 3692, 962, 1933, 896, 35, 311, 1895, 490, 21704, 719, 1280, 204, 268, 2049, 289, 283, 7, 1015, 46729, 979, 19, 14385, 802, 78, 463, 2029, 98, 802, 37031, 7, 204, 615, 264, 314, 16634, 275, 5214, 204, 264, 1352, 289, 4845, 19, 20033, 13, 75, 1954, 2029, 98, 463, 9310, 68, 6052, 743, 204, 264, 1352, 19, 34616, 374, 204, 615, 264, 314, 778, 397, 275, 15175, 867, 2707, 204, 264, 397, 1352, 19, 25220, 2167, 500, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 6348, 463, 8346, 23214, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 6610, 1445, 204, 264, 6610, 68, 546, 289, 15481, 19, 10751, 73, 3294, 374, 204, 615, 264, 314, 6676, 275, 18752, 741, 204, 264, 24394, 43959, 19, 4216, 13, 3605, 31, 3106, 68, 398, 13, 14231, 68, 546, 602, 204, 615, 264, 314, 968, 275, 11008, 3731, 204, 264, 11008, 68, 12024, 289, 551, 204, 268, 314, 1255, 11008, 3731, 3237, 204, 264, 2437, 204, 615, 264, 314, 3055, 275, 11008, 3731, 204, 264, 2811, 68, 13258, 68, 12024, 13, 13258, 68, 12024, 14, 204, 615, 264, 314, 968, 275, 8052, 311, 6348, 204, 264, 8052, 289, 463, 204, 268, 388, 10082, 559, 463, 204, 305, 388, 805, 559, 388, 1942, 1963, 13381, 19, 9888, 19, 1453, 20, 10082, 20, 9310, 20, 12142, 20, 10082, 68, 44408, 19, 14385, 528, 204, 305, 388, 9310, 68, 6052, 559, 6040, 42478, 802, 9310, 7, 204, 268, 4752, 204, 268, 388, 26063, 559, 463, 204, 305, 388, 805, 559, 3686, 68, 26063, 68, 7237, 68, 805, 2144, 204, 305, 388, 9310, 68, 6052, 559, 7031, 1015, 7, 204, 268, 4752, 204, 268, 388, 1241, 11092, 559, 463, 204, 305, 388, 805, 559, 3686, 68, 1241, 11092, 68, 7237, 68, 805, 2144, 204, 305, 388, 9310, 68, 6052, 559, 3026, 204, 268, 4752, 204, 268, 388, 9502, 559, 463, 204, 305, 388, 805, 559, 3686, 68, 9502, 68, 7237, 68, 805, 2144, 204, 305, 388, 9310, 68, 6052, 559, 6040, 1815, 1334, 3316, 802, 4203, 14324, 34, 44960, 27143, 7, 204, 268, 4752, 204, 268, 388, 21206, 5535, 1162, 559, 463, 204, 305, 388, 805, 559, 388, 1942, 1963, 3112, 1538, 340, 19, 26897, 3823, 19, 4563, 20, 76, 20, 6499, 20, 21206, 5535, 1162, 20, 21206, 5535, 1162, 18, 3539, 2890, 20, 22, 19, 24, 19, 1511, 20, 35229, 16060, 1162, 18, 22, 19, 24, 19, 1511, 18, 54, 29, 18, 5450, 2562, 18, 31220, 19, 14385, 528, 204, 305, 388, 9310, 68, 6052, 559, 6040, 1815, 1334, 3316, 802, 4887, 21451, 8346, 2375, 10, 4727, 35229, 16060, 1162, 7, 204, 268, 1211, 204, 264, 1211, 204, 615, 264, 314, 16634, 275, 8052, 204, 264, 348, 2548, 17, 2557, 292, 8052, 19, 1996, 1293, 204, 268, 314, 8467, 275, 43104, 204, 268, 2049, 289, 1127, 19, 546, 19, 1541, 13, 14231, 68, 546, 17, 283, 1954, 8346, 6803, 5666, 431, 204, 268, 4065, 68, 553, 13, 3282, 1166, 805, 2869, 2049, 14, 204, 822, 268, 314, 16634, 275, 2548, 204, 268, 6348, 68, 6964, 13, 8346, 17, 2049, 17, 2557, 1166, 9310, 68, 6052, 3808, 204, 822, 268, 314, 20786, 275, 532, 33095, 348, 18273, 204, 268, 397, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2548, 564, 388, 26063, 559, 204, 305, 16485, 68, 647, 68, 48161, 68, 1538, 68, 26063, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 768, 68, 531, 68, 816, 13, 4202, 31, 394, 289, 11070, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 273, 782, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 1243, 311, 437, 1392, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 537, 782, 497, 275, 575, 19, 204, 264, 320, 204, 264, 407, 537, 13, 4202, 14, 204, 204, 461, 3106, 68, 1031, 13, 88, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8847, 1950, 18, 33557, 2724, 497, 273, 782, 329, 16381, 490, 311, 9236, 19, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5872, 782, 19, 204, 264, 320, 204, 264, 314, 3182, 1950, 18, 33557, 2724, 329, 1814, 311, 9236, 204, 264, 407, 9434, 1541, 13, 72, 19, 3006, 374, 348, 279, 292, 297, 397, 279, 19, 20368, 1447, 204, 204, 461, 353, 68, 11782, 13, 88, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 800, 782, 353, 273, 8877, 17, 24450, 1950, 18, 33557, 2724, 329, 8442, 1698, 275, 40607, 2724, 292, 273, 1322, 18, 20586, 11621, 19, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 782, 353, 273, 8877, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 8414, 275, 782, 204, 264, 5872, 68, 88, 289, 3106, 68, 1031, 13, 88, 14, 204, 264, 314, 778, 397, 275, 5872, 782, 353, 1936, 311, 1163, 4036, 204, 264, 407, 5872, 68, 88, 564, 5872, 68, 88, 12658, 22, 66, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 4143, 275, 542, 302, 683, 2910, 17, 5377, 848, 537, 782, 311, 3020, 397, 490, 677, 273, 8877, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 683, 2910, 204, 264, 771, 68, 804, 68, 3871, 289, 421, 13, 976, 68, 768, 68, 531, 68, 816, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 615, 264, 314, 1861, 1048, 848, 683, 1322, 204, 264, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 268, 314, 1606, 275, 537, 782, 204, 268, 297, 289, 1151, 68, 768, 68, 531, 68, 816, 499, 2101, 273, 782, 31, 2810, 204, 268, 314, 778, 397, 275, 782, 353, 273, 8877, 204, 268, 397, 353, 68, 11782, 13, 88, 330, 204, 305, 456, 499, 12950, 17, 275, 782, 353, 273, 8877, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 3882, 17, 275, 782, 353, 508, 273, 8877, 1280, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 1061, 17, 783, 204, 531, 8632, 532, 8204, 204, 531, 5920, 532, 8909, 204, 531, 8775, 532, 636, 68, 13050, 68, 834, 204, 204, 37, 6611, 204, 676, 14354, 31, 204, 264, 320, 5272, 273, 2023, 1279, 204, 264, 5576, 31, 394, 204, 264, 14334, 31, 818, 204, 264, 4521, 31, 818, 204, 264, 4577, 1949, 31, 818, 204, 204, 676, 12740, 31, 204, 264, 320, 5272, 273, 2769, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 330, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 1920, 289, 1306, 204, 204, 264, 436, 881, 13, 327, 17, 2023, 31, 14354, 330, 204, 268, 320, 25548, 273, 2023, 311, 275, 2769, 1279, 204, 268, 370, 19, 1920, 19, 1223, 13, 1669, 14, 204, 204, 264, 436, 33673, 13, 327, 17, 771, 68, 7022, 31, 421, 330, 204, 268, 320, 21440, 1405, 6710, 497, 275, 2769, 1279, 204, 268, 370, 19, 1920, 289, 370, 19, 1920, 64, 920, 68, 7022, 5853, 204, 204, 264, 436, 18544, 13, 327, 330, 204, 268, 320, 21440, 1405, 830, 6710, 497, 275, 2769, 1279, 204, 268, 370, 19, 1920, 289, 1306, 204, 204, 264, 436, 8959, 13, 327, 17, 3101, 31, 1109, 289, 1078, 14, 393, 394, 31, 204, 268, 320, 6185, 48923, 275, 2769, 1279, 204, 268, 2342, 289, 283, 7, 9860, 463, 327, 19, 417, 2829, 463, 1796, 13, 327, 19, 1920, 4150, 6710, 7, 204, 268, 397, 3101, 31, 204, 305, 2342, 1412, 7805, 83, 2948, 1541, 13, 75, 7, 226, 338, 14354, 463, 78, 2829, 14334, 2508, 1669, 19, 20505, 1522, 4521, 2508, 1669, 19, 5192, 1522, 4577, 1949, 2508, 1669, 19, 3395, 1949, 2495, 348, 296, 17, 2023, 292, 3209, 13, 327, 19, 1920, 602, 204, 268, 407, 2342, 204, 204, 676, 9939, 5070, 31, 204, 264, 320, 5272, 275, 11006, 1279, 204, 264, 8438, 68, 24455, 68, 2956, 289, 368, 68, 1207, 68, 1207, 226, 314, 37256, 1302, 292, 33836, 204, 264, 8719, 68, 4586, 9249, 68, 7043, 289, 368, 204, 204, 264, 436, 589, 924, 889, 327, 17, 27111, 31, 783, 64, 9860, 648, 21136, 31, 421, 17, 10488, 68, 834, 31, 421, 289, 8719, 68, 4586, 9249, 68, 7043, 330, 204, 268, 320, 204, 268, 1865, 275, 11006, 19, 204, 204, 268, 457, 31, 204, 268, 338, 27111, 322, 1218, 64, 9860, 1037, 783, 302, 27111, 19, 204, 268, 338, 21136, 322, 339, 330, 14354, 88, 841, 1350, 19, 204, 268, 338, 10488, 68, 834, 322, 339, 330, 47399, 690, 19, 1243, 311, 368, 19, 204, 268, 320, 204, 268, 370, 19, 32190, 289, 27111, 204, 268, 370, 19, 23183, 289, 21136, 204, 268, 370, 19, 2391, 68, 1011, 68, 2760, 289, 551, 21, 66, 540, 1245, 13, 32190, 14, 226, 314, 3682, 302, 275, 7830, 302, 275, 1673, 2023, 11474, 204, 268, 370, 19, 10768, 68, 1920, 68, 873, 289, 463, 86, 19, 417, 31, 296, 348, 296, 17, 3259, 292, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3209, 13, 32190, 4150, 204, 268, 370, 19, 360, 68, 29662, 289, 551, 1975, 66, 540, 1245, 13, 32190, 14, 204, 268, 370, 19, 20156, 289, 1078, 204, 268, 370, 19, 1530, 68, 1011, 289, 338, 22, 204, 268, 370, 19, 13050, 68, 834, 289, 10488, 68, 834, 204, 268, 370, 19, 505, 68, 834, 289, 636, 68, 13050, 68, 834, 13, 13050, 68, 834, 14, 204, 204, 264, 436, 32271, 13, 327, 17, 3986, 31, 1109, 289, 1078, 17, 771, 68, 7022, 31, 421, 289, 500, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 24173, 275, 6710, 292, 275, 27111, 23691, 1048, 690, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3986, 322, 2107, 330, 828, 959, 17, 1698, 2584, 275, 1301, 84, 42, 2900, 10974, 275, 6710, 19, 1243, 311, 1078, 19, 204, 268, 338, 771, 68, 7022, 322, 339, 330, 3239, 302, 6710, 311, 1370, 19, 1243, 311, 500, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1061, 31, 6881, 18, 4995, 1563, 19, 204, 268, 320, 204, 268, 314, 977, 1563, 955, 204, 268, 1563, 289, 8909, 13, 873, 14, 204, 204, 268, 314, 888, 2023, 13460, 204, 268, 2023, 68, 16027, 289, 368, 802, 370, 19, 23183, 204, 204, 268, 314, 1861, 1048, 848, 2769, 204, 268, 348, 2769, 292, 370, 19, 32190, 31, 204, 305, 314, 977, 2769, 5047, 204, 305, 2480, 68, 1949, 289, 500, 204, 305, 1113, 68, 272, 6437, 299, 68, 834, 289, 500, 204, 305, 1113, 68, 272, 6437, 299, 68, 6316, 289, 500, 204, 305, 1113, 68, 8875, 289, 500, 204, 305, 1113, 68, 7022, 289, 500, 204, 305, 2023, 68, 998, 289, 500, 204, 204, 305, 314, 763, 275, 1673, 1370, 690, 348, 275, 790, 2769, 204, 305, 1673, 68, 1011, 68, 834, 289, 370, 19, 2391, 68, 1011, 68, 2760, 64, 327, 19, 10768, 68, 1920, 68, 873, 64, 1920, 19, 417, 2629, 204, 204, 305, 314, 1861, 1048, 848, 2023, 292, 275, 2769, 204, 305, 348, 2023, 292, 2769, 19, 1920, 31, 204, 485, 314, 888, 304, 6437, 299, 690, 204, 485, 304, 6437, 299, 68, 834, 289, 2023, 19, 20505, 338, 1673, 68, 1011, 68, 834, 204, 204, 485, 314, 778, 348, 304, 6437, 299, 1643, 204, 485, 397, 304, 6437, 299, 68, 834, 1323, 500, 31, 204, 895, 314, 13403, 4533, 311, 275, 7830, 302, 275, 10974, 2023, 204, 895, 1673, 68, 1011, 68, 834, 289, 2023, 19, 20505, 204, 895, 1113, 68, 272, 6437, 299, 68, 834, 1412, 304, 6437, 299, 68, 834, 204, 895, 1113, 68, 272, 6437, 299, 68, 6316, 1412, 368, 204, 204, 485, 314, 1716, 2769, 5047, 204, 485, 1113, 68, 8875, 1412, 1673, 68, 1011, 68, 834, 338, 2023, 19, 5192, 204, 485, 2480, 68, 1949, 1412, 2023, 19, 3395, 1949, 204, 485, 1113, 68, 7022, 1412, 368, 204, 204, 485, 314, 13403, 4533, 311, 275, 1136, 302, 275, 10974, 2023, 204, 485, 1673, 68, 1011, 68, 834, 1412, 2023, 68, 16027, 204, 204, 485, 314, 7415, 2023, 1112, 204, 485, 2023, 68, 998, 1412, 368, 204, 204, 485, 314, 778, 397, 572, 9314, 7486, 275, 6736, 542, 302, 6710, 204, 485, 397, 2023, 68, 998, 564, 771, 68, 7022, 329, 771, 68, 7022, 1323, 500, 31, 204, 895, 2280, 204, 204, 305, 314, 778, 397, 1169, 6710, 1466, 11474, 204, 305, 397, 1113, 68, 7022, 564, 500, 31, 204, 485, 1563, 64, 1920, 19, 417, 66, 289, 500, 204, 485, 3524, 204, 204, 305, 314, 888, 329, 1640, 2769, 5047, 204, 305, 1563, 64, 1920, 19, 417, 66, 289, 463, 204, 485, 388, 2609, 68, 272, 6437, 299, 68, 6316, 559, 1113, 68, 272, 6437, 299, 68, 6316, 17, 204, 485, 388, 2609, 68, 272, 6437, 299, 68, 834, 559, 4672, 13, 2609, 68, 272, 6437, 299, 68, 834, 17, 887, 659, 204, 485, 388, 2609, 68, 8875, 559, 4672, 13, 2609, 68, 8875, 17, 887, 659, 204, 485, 388, 5670, 68, 1949, 559, 2480, 68, 1949, 802, 1113, 68, 7022, 17, 204, 485, 388, 2609, 68, 7022, 559, 1113, 68, 7022, 204, 305, 1211, 204, 204, 305, 314, 778, 397, 572, 1856, 1395, 275, 11006, 1259, 204, 305, 397, 508, 3986, 31, 204, 485, 314, 1716, 275, 1673, 1370, 690, 348, 275, 790, 2769, 204, 485, 370, 19, 2391, 68, 1011, 68, 2760, 64, 327, 19, 10768, 68, 1920, 68, 873, 64, 1920, 19, 417, 2629, 289, 1673, 68, 1011, 68, 834, 204, 204, 485, 314, 29276, 6710, 204, 485, 397, 771, 68, 7022, 1323, 500, 31, 204, 895, 2769, 19, 32250, 13, 1669, 68, 998, 14, 204, 485, 902, 31, 204, 895, 2769, 19, 17208, 374, 204, 204, 268, 407, 1135, 13, 2826, 14, 204, 204, 264, 436, 1012, 13, 327, 17, 11979, 31, 421, 289, 500, 330, 204, 268, 320, 204, 268, 29634, 675, 275, 10974, 1352, 19, 204, 204, 268, 457, 31, 204, 268, 338, 11979, 322, 339, 330, 5730, 299, 690, 19, 1243, 311, 500, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1012, 690, 204, 268, 1012, 68, 834, 289, 370, 19, 505, 68, 834, 374, 465, 11979, 540, 370, 19, 13050, 68, 834, 204, 204, 268, 314, 1716, 275, 1673, 1370, 2666, 329, 1012, 1370, 690, 204, 268, 370, 19, 2391, 68, 1011, 68, 2760, 289, 551, 1530, 68, 834, 66, 540, 1245, 13, 327, 19, 32190, 14, 204, 268, 370, 19, 1530, 68, 1011, 289, 1012, 68, 834, 204, 204, 264, 436, 7137, 13, 327, 17, 6710, 31, 783, 64, 1126, 1037, 204, 268, 320, 204, 268, 39171, 6710, 19, 204, 204, 268, 457, 31, 204, 268, 338, 6710, 322, 1218, 64, 1126, 1037, 783, 302, 6710, 19, 204, 268, 320, 204, 268, 314, 1861, 1048, 848, 2023, 204, 268, 348, 2023, 292, 6710, 31, 204, 305, 314, 763, 275, 2769, 1112, 348, 275, 2023, 677, 5576, 204, 305, 2769, 68, 998, 289, 370, 19, 10768, 68, 1920, 68, 873, 19, 505, 13, 1669, 19, 10768, 14, 204, 204, 305, 314, 778, 397, 275, 2769, 1112, 353, 1097, 204, 305, 397, 2381, 13, 1920, 68, 998, 17, 421, 330, 204, 485, 314, 1255, 275, 2023, 311, 275, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3310, 2769, 204, 485, 370, 19, 32190, 64, 1920, 68, 998, 1664, 826, 13, 1669, 14, 204, 204, 264, 436, 8959, 13, 327, 17, 3101, 31, 1109, 289, 1078, 14, 393, 394, 31, 204, 268, 320, 204, 268, 5285, 48923, 275, 11006, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3101, 322, 2107, 330, 828, 959, 17, 2584, 273, 10660, 2342, 19, 1243, 311, 1078, 19, 204, 204, 268, 475, 31, 204, 268, 338, 394, 31, 12616, 302, 275, 11006, 19, 204, 268, 320, 204, 268, 314, 977, 2342, 204, 268, 2342, 289, 283, 7, 39748, 31, 688, 83, 23183, 289, 463, 327, 19, 23183, 1522, 13460, 289, 463, 22, 802, 370, 19, 23183, 4567, 24, 75, 1522, 1012, 68, 834, 289, 463, 327, 19, 1530, 68, 1011, 4567, 24, 75, 2277, 83, 26627, 680, 29027, 204, 204, 268, 314, 1861, 1048, 848, 2769, 204, 268, 348, 2769, 292, 370, 19, 32190, 31, 204, 305, 314, 5230, 275, 2769, 2342, 311, 275, 11006, 2342, 204, 305, 2342, 1412, 283, 7979, 83, 96, 1920, 19, 24715, 13, 5022, 16678, 204, 204, 268, 407, 2342, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 27111, 204, 264, 2769, 22, 289, 12740, 499, 9860, 368, 431, 204, 264, 2769, 23, 289, 12740, 499, 9860, 435, 431, 204, 204, 264, 314, 666, 6710, 204, 264, 2023, 22, 289, 14354, 499, 9860, 368, 528, 500, 19, 21, 17, 500, 19, 21, 17, 3861, 14, 204, 264, 2023, 23, 289, 14354, 499, 9860, 368, 528, 500, 19, 22, 17, 500, 19, 22, 17, 3861, 14, 204, 264, 2023, 24, 289, 14354, 499, 9860, 435, 528, 500, 19, 21, 17, 500, 19, 21, 17, 3861, 14, 204, 264, 2023, 25, 289, 14354, 499, 9860, 435, 528, 500, 19, 22, 17, 500, 19, 22, 17, 3861, 14, 204, 204, 264, 314, 1255, 6710, 311, 27111, 204, 264, 2769, 22, 19, 826, 13, 1669, 22, 14, 204, 264, 2769, 22, 19, 826, 13, 1669, 23, 14, 204, 264, 2769, 23, 19, 826, 13, 1669, 24, 14, 204, 264, 2769, 23, 19, 826, 13, 1669, 25, 14, 204, 204, 264, 314, 666, 11006, 204, 264, 11006, 289, 9939, 5070, 1568, 1920, 22, 17, 2769, 23, 648, 2468, 14, 204, 204, 264, 314, 4055, 32271, 204, 264, 11006, 19, 1530, 374, 204, 204, 264, 314, 12154, 6710, 204, 264, 11006, 19, 18330, 1568, 1669, 22, 17, 2023, 23, 17, 2023, 24, 17, 2023, 25, 694, 204, 204, 264, 314, 8406, 6710, 204, 264, 1563, 289, 11006, 19, 48262, 374, 204, 204, 264, 314, 1198, 1563, 204, 264, 456, 13, 2826, 14, 204, 204, 264, 314, 22427, 11006, 204, 264, 456, 13, 16380, 19, 24715, 13, 5022, 34, 1021, 602, 204, 0, 647, 1034, 2562, 204, 647, 1875, 204, 647, 690, 204, 647, 12348, 204, 647, 2164, 204, 204, 676, 6547, 1449, 26413, 15750, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 1814, 1068, 311, 7856, 974, 275, 1504, 350, 10492, 78, 1893, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 3923, 68, 805, 1164, 394, 204, 268, 334, 1274, 302, 275, 1504, 350, 10492, 78, 1893, 19, 204, 264, 3923, 68, 644, 1164, 394, 204, 268, 334, 1893, 896, 348, 5888, 19, 204, 264, 740, 68, 359, 1164, 394, 204, 268, 334, 1650, 1222, 348, 5888, 19, 204, 264, 919, 68, 553, 1164, 394, 204, 268, 334, 832, 311, 275, 919, 4466, 510, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3923, 68, 805, 31, 394, 17, 3923, 68, 644, 31, 394, 17, 740, 68, 359, 31, 394, 17, 919, 68, 553, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 6547, 1449, 26413, 15750, 19, 204, 204, 268, 1164, 2394, 3923, 68, 805, 31, 334, 1274, 302, 275, 1504, 350, 10492, 78, 1893, 19, 204, 268, 1164, 2394, 3923, 68, 644, 31, 334, 1893, 896, 348, 5888, 19, 204, 268, 1164, 2394, 740, 68, 359, 31, 334, 1650, 1222, 348, 5888, 19, 204, 268, 1164, 2394, 919, 68, 553, 31, 334, 832, 311, 275, 919, 4466, 510, 19, 204, 268, 320, 204, 268, 370, 19, 2005, 68, 805, 289, 3923, 68, 805, 204, 268, 370, 19, 2005, 68, 644, 289, 3923, 68, 644, 204, 268, 370, 19, 748, 68, 359, 289, 740, 68, 359, 204, 268, 370, 19, 1420, 68, 553, 289, 919, 68, 553, 204, 204, 264, 436, 906, 8596, 68, 6891, 68, 1087, 13, 327, 17, 1068, 31, 394, 17, 10802, 68, 417, 31, 394, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 24197, 275, 4466, 1586, 348, 275, 1893, 824, 19, 204, 204, 268, 1164, 2394, 1068, 31, 334, 1068, 311, 1814, 311, 7856, 19, 204, 268, 1164, 2394, 10802, 68, 417, 31, 334, 588, 302, 275, 10802, 311, 732, 19, 204, 268, 1164, 3309, 31, 332, 955, 1174, 275, 4466, 1586, 19, 204, 268, 320, 204, 268, 314, 968, 275, 4466, 1586, 2072, 204, 268, 954, 289, 463, 204, 305, 388, 2854, 75, 559, 388, 6891, 20, 49, 1845, 32, 1949, 34, 1845, 1207, 528, 226, 314, 16985, 1883, 204, 305, 388, 70, 347, 559, 388, 81, 341, 528, 226, 314, 16985, 4051, 204, 305, 388, 8019, 68, 417, 559, 10802, 68, 417, 17, 226, 314, 31515, 588, 204, 305, 388, 5195, 559, 388, 1719, 528, 226, 314, 25003, 2969, 204, 305, 388, 6811, 559, 388, 6074, 528, 226, 314, 25003, 3351, 204, 305, 388, 21740, 559, 388, 1719, 528, 226, 314, 25003, 14298, 204, 305, 388, 2693, 68, 932, 559, 388, 30187, 739, 7, 226, 314, 11252, 1187, 204, 268, 1211, 204, 268, 407, 954, 204, 204, 264, 436, 906, 4776, 68, 21709, 13, 327, 17, 6941, 68, 71, 2562, 325, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 275, 15442, 348, 275, 1893, 824, 19, 204, 204, 268, 1164, 2394, 6941, 68, 71, 2562, 325, 31, 334, 1034, 2562, 18, 9904, 3918, 782, 19, 204, 268, 1164, 3309, 31, 334, 4489, 15442, 19, 204, 268, 320, 204, 268, 314, 763, 275, 790, 4521, 204, 268, 690, 68, 1520, 289, 394, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 339, 13, 834, 19, 834, 5887, 204, 268, 314, 2069, 275, 15442, 204, 268, 15442, 289, 322, 327, 19, 2005, 68, 644, 465, 690, 68, 1520, 465, 6941, 68, 71, 2562, 325, 789, 4170, 611, 3102, 29, 534, 204, 268, 15442, 68, 7648, 26, 289, 12348, 19, 7648, 26, 13, 21709, 789, 18927, 374, 204, 268, 407, 15442, 68, 7648, 26, 204, 204, 264, 436, 906, 3345, 68, 1443, 13, 327, 17, 1068, 31, 394, 17, 954, 31, 1135, 14, 393, 2164, 19, 2628, 31, 204, 268, 320, 204, 268, 10863, 275, 3426, 824, 311, 275, 1504, 350, 10492, 78, 1893, 19, 204, 204, 268, 1164, 2394, 1068, 31, 334, 1068, 311, 1814, 311, 7856, 19, 204, 268, 1164, 2394, 954, 31, 334, 4466, 1586, 19, 204, 268, 1164, 3309, 31, 334, 958, 497, 275, 1893, 19, 204, 268, 320, 204, 268, 314, 2208, 275, 954, 311, 273, 2084, 782, 204, 268, 6941, 68, 325, 289, 1875, 19, 7362, 13, 1087, 14, 204, 268, 314, 13519, 275, 2084, 782, 311, 17847, 18, 29, 204, 268, 6941, 68, 3102, 29, 289, 6941, 68, 325, 19, 4170, 611, 3102, 29, 534, 204, 268, 314, 3301, 2562, 18, 4170, 275, 17847, 18, 29, 782, 204, 268, 6941, 68, 71, 2562, 289, 1034, 2562, 19, 71, 2562, 4170, 13, 2394, 68, 3102, 29, 14, 204, 268, 314, 12210, 275, 1034, 2562, 3154, 311, 273, 782, 204, 268, 6941, 68, 71, 2562, 325, 289, 6941, 68, 71, 2562, 19, 5286, 611, 3102, 29, 534, 204, 204, 268, 314, 2069, 275, 15442, 204, 268, 15442, 289, 370, 806, 4776, 68, 21709, 13, 2394, 68, 71, 2562, 325, 14, 204, 204, 268, 314, 5128, 275, 1893, 824, 3496, 204, 268, 3496, 289, 463, 204, 305, 388, 61, 18, 3543, 359, 559, 370, 19, 748, 68, 359, 17, 204, 305, 388, 61, 18, 6739, 3103, 559, 394, 13, 339, 13, 834, 19, 834, 47423, 204, 305, 388, 61, 18, 26190, 559, 6941, 68, 71, 2562, 325, 17, 204, 305, 388, 61, 18, 5995, 7279, 559, 15442, 204, 268, 1211, 204, 204, 268, 314, 2878, 275, 1893, 824, 204, 268, 958, 289, 2164, 19, 2288, 13, 327, 19, 2005, 68, 805, 17, 424, 10703, 492, 559, 1068, 1522, 3496, 34, 5093, 14, 204, 268, 407, 958, 204, 204, 264, 436, 1814, 13, 327, 17, 1068, 31, 394, 17, 10802, 68, 417, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 8109, 275, 1068, 311, 7856, 974, 275, 1504, 350, 10492, 78, 1893, 19, 204, 204, 268, 1164, 2394, 1068, 31, 334, 1068, 311, 1814, 311, 7856, 19, 204, 268, 1164, 2394, 10802, 68, 417, 31, 334, 588, 302, 275, 10802, 311, 732, 19, 204, 268, 1164, 3309, 31, 334, 832, 311, 275, 919, 4466, 510, 521, 437, 908, 943, 19, 204, 268, 320, 204, 268, 314, 5128, 275, 4466, 1586, 204, 268, 954, 289, 370, 806, 8596, 68, 6891, 68, 1087, 13, 492, 17, 10802, 68, 417, 14, 204, 268, 314, 2878, 275, 1893, 824, 204, 268, 958, 289, 370, 806, 3345, 68, 1443, 13, 492, 17, 954, 14, 204, 204, 268, 314, 778, 275, 958, 1714, 1576, 204, 268, 397, 958, 19, 1835, 68, 1181, 564, 2031, 31, 204, 305, 314, 778, 275, 958, 1666, 1187, 204, 305, 958, 68, 1885, 289, 958, 19, 5093, 736, 8334, 18, 2191, 839, 204, 305, 397, 958, 68, 1885, 564, 388, 6891, 20, 22174, 559, 204, 485, 314, 3025, 275, 4466, 311, 273, 510, 204, 485, 440, 1451, 13, 327, 19, 1420, 68, 553, 17, 379, 9220, 534, 448, 685, 68, 553, 31, 204, 895, 685, 68, 553, 19, 2206, 13, 1935, 19, 2387, 14, 204, 485, 407, 283, 7, 8116, 510, 31, 463, 327, 19, 1420, 68, 553, 2495, 204, 305, 902, 31, 204, 485, 407, 958, 19, 492, 204, 268, 902, 31, 204, 305, 407, 283, 7, 596, 463, 1935, 19, 1835, 68, 1181, 2829, 463, 1935, 19, 492, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 15171, 289, 6547, 1449, 26413, 15750, 13, 204, 268, 3923, 68, 805, 1022, 1942, 1963, 2005, 19, 29731, 43392, 19, 12246, 20, 91, 22, 20, 3823, 20, 91, 22, 20, 30424, 528, 204, 268, 3923, 68, 644, 1022, 5049, 75, 2188, 897, 70, 26, 75, 47257, 71, 1258, 5235, 4343, 22, 74, 1845, 7326, 3701, 5845, 7298, 528, 204, 268, 740, 68, 359, 1022, 26, 73, 29, 3787, 2985, 73, 528, 204, 268, 919, 68, 553, 44670, 1420, 19, 324, 24, 7, 204, 264, 1179, 204, 264, 456, 13, 18228, 19, 6470, 499, 5975, 17, 2688, 14876, 388, 93, 68, 30644, 441, 41391, 3687, 204, 0, 647, 3805, 448, 1246, 204, 531, 4277, 532, 6835, 204, 531, 4277, 19, 3995, 68, 7419, 532, 361, 11604, 204, 531, 4277, 19, 5618, 68, 809, 532, 16848, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 4277, 19, 5878, 532, 3666, 68, 2224, 204, 204, 461, 1137, 68, 1460, 365, 68, 26560, 640, 68, 41430, 68, 2182, 13, 805, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 275, 8149, 365, 20576, 34034, 1485, 497, 275, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 302, 275, 1485, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 334, 3271, 1485, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 1485, 497, 275, 800, 1274, 204, 268, 424, 289, 1246, 19, 976, 68, 2039, 13, 805, 17, 716, 14820, 1987, 4980, 5434, 1705, 24415, 491, 379, 44, 2429, 17232, 491, 379, 46747, 38507, 491, 379, 13263, 266, 4167, 19087, 491, 716, 20772, 379, 43444, 16569, 491, 379, 41375, 491, 379, 5876, 9808, 47872, 35015, 9199, 491, 379, 14167, 491, 379, 45759, 2378, 204, 268, 407, 424, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1485, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 1485, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 838, 68, 23563, 68, 11180, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 809, 374, 393, 16848, 31, 204, 264, 320, 204, 264, 666, 273, 43337, 15210, 570, 19, 204, 204, 264, 475, 31, 204, 264, 16848, 31, 334, 1966, 570, 19, 204, 264, 320, 204, 264, 314, 666, 273, 43337, 15210, 570, 440, 1540, 2072, 204, 264, 407, 16848, 13, 1129, 68, 2062, 34, 5758, 14, 204, 204, 461, 2694, 68, 2226, 13, 481, 31, 1246, 19, 1362, 17, 570, 31, 16848, 17, 771, 68, 2226, 31, 421, 14, 393, 361, 11604, 31, 204, 264, 320, 204, 264, 5988, 275, 1901, 3287, 2048, 974, 18302, 13696, 47939, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 2600, 19, 1362, 330, 334, 1485, 19, 204, 264, 570, 322, 36169, 330, 334, 570, 311, 732, 348, 2648, 7101, 19, 204, 264, 771, 68, 2226, 322, 339, 330, 334, 542, 302, 2048, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 361, 11604, 31, 334, 361, 11604, 726, 440, 275, 4285, 2048, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 1485, 1025, 2048, 329, 1029, 204, 264, 2048, 289, 424, 19, 5613, 611, 45759, 491, 3138, 34, 22, 789, 1309, 204, 264, 1029, 289, 424, 736, 45759, 3750, 1309, 204, 615, 264, 314, 666, 437, 361, 11604, 726, 440, 275, 800, 570, 329, 542, 302, 2048, 204, 264, 468, 2970, 289, 361, 11604, 13, 809, 17, 771, 68, 2226, 14, 204, 615, 264, 314, 10083, 275, 361, 11604, 726, 311, 275, 1485, 204, 264, 468, 2970, 19, 2714, 13, 2226, 17, 1029, 14, 204, 615, 264, 407, 468, 2970, 204, 204, 461, 3953, 68, 809, 13, 481, 31, 1246, 19, 1362, 17, 570, 31, 16848, 17, 771, 68, 2226, 31, 421, 14, 393, 818, 31, 204, 264, 320, 204, 264, 4938, 275, 5956, 302, 275, 570, 974, 275, 4285, 2048, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 2600, 19, 1362, 330, 334, 1485, 19, 204, 264, 570, 322, 36169, 330, 334, 570, 311, 3953, 19, 204, 264, 771, 68, 2226, 322, 339, 330, 334, 542, 302, 2048, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 3666, 302, 275, 570, 19, 204, 264, 320, 204, 264, 314, 5988, 275, 1901, 3287, 2048, 204, 264, 468, 2970, 289, 2694, 68, 2226, 13, 481, 17, 570, 17, 771, 68, 2226, 14, 204, 615, 264, 314, 763, 275, 4285, 2048, 204, 264, 4285, 68, 2226, 289, 424, 19, 5613, 611, 45759, 491, 3138, 34, 22, 789, 8751, 3460, 468, 2970, 19, 6815, 68, 1664, 1309, 204, 264, 1029, 289, 424, 736, 45759, 3750, 1309, 204, 615, 264, 314, 3736, 275, 1485, 1025, 1737, 329, 2907, 3416, 204, 264, 1504, 68, 1219, 17, 1504, 68, 804, 17, 469, 68, 1219, 17, 469, 68, 804, 289, 951, 68, 804, 68, 1590, 13, 9227, 68, 2226, 17, 1029, 17, 683, 68, 835, 34, 21, 19, 23, 17, 1400, 68, 1512, 34, 5820, 14, 204, 615, 264, 314, 2672, 275, 570, 974, 275, 4285, 2048, 204, 264, 570, 19, 2714, 13, 61, 68, 1219, 17, 469, 68, 1219, 14, 204, 615, 264, 314, 3867, 3705, 974, 275, 6020, 570, 204, 264, 3705, 289, 570, 19, 4396, 13, 61, 68, 804, 14, 204, 615, 264, 314, 4938, 275, 5956, 302, 275, 570, 204, 264, 3666, 289, 3666, 68, 2224, 13, 94, 68, 804, 17, 3705, 14, 204, 615, 264, 407, 3666, 204, 204, 461, 667, 1293, 204, 264, 1779, 289, 388, 3189, 1963, 14616, 19, 1154, 19, 46945, 19, 15515, 20, 1368, 20, 10391, 18, 6859, 18, 31762, 20, 1460, 365, 18, 26560, 640, 18, 41430, 20, 1460, 365, 18, 26560, 640, 18, 41430, 19, 481, 7, 204, 264, 424, 289, 1137, 68, 1460, 365, 68, 26560, 640, 68, 41430, 68, 2182, 13, 805, 14, 204, 264, 397, 424, 353, 508, 443, 31, 204, 268, 570, 289, 838, 68, 23563, 68, 11180, 68, 809, 374, 204, 268, 771, 68, 2226, 289, 571, 204, 268, 468, 2970, 289, 2694, 68, 2226, 13, 481, 17, 570, 17, 771, 68, 2226, 14, 204, 268, 456, 499, 31450, 2048, 2180, 424, 19, 5613, 611, 45759, 491, 3138, 34, 22, 789, 3786, 64, 87, 2970, 19, 6815, 68, 694, 204, 822, 268, 314, 4938, 275, 5956, 302, 275, 570, 204, 268, 3666, 289, 3953, 68, 809, 13, 481, 17, 570, 17, 771, 68, 2226, 14, 204, 268, 456, 499, 1655, 3666, 2180, 3666, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 10915, 8213, 5815, 2233, 302, 26204, 17043, 6863, 311, 970, 2666, 1163, 6635, 3522, 11347, 311, 5288, 686, 22, 19, 28, 11002, 292, 7672, 302, 571, 41, 9095, 4009, 348, 1085, 5627, 19, 7054, 884, 88, 5575, 311, 273, 2556, 6193, 560, 47750, 12735, 595, 2981, 6376, 9825, 675, 19, 334, 12735, 13808, 496, 560, 12568, 17, 1085, 4461, 1120, 42184, 5074, 2847, 302, 275, 1085, 17043, 7561, 884, 88, 686, 27, 19, 30, 11002, 292, 12918, 19, 204, 40029, 437, 2931, 292, 26204, 17043, 8402, 1182, 17043, 17, 329, 8499, 17, 2941, 311, 275, 548, 19, 56, 19, 36, 14580, 17, 329, 508, 523, 273, 3403, 3948, 1812, 292, 275, 17043, 10845, 19, 37850, 329, 4009, 2927, 497, 26204, 17043, 6332, 529, 2202, 15434, 311, 6626, 17, 329, 8405, 1895, 4009, 1182, 2264, 24369, 440, 26918, 3576, 2927, 292, 25804, 292, 14109, 521, 904, 3576, 302, 275, 2688, 19, 1765, 548, 19, 56, 19, 9757, 17, 275, 3576, 529, 1425, 7758, 523, 548, 19, 56, 19, 8006, 17, 329, 8405, 4006, 884, 89, 874, 311, 444, 41225, 497, 40282, 348, 12364, 19, 0, 647, 1127, 204, 204, 461, 636, 68, 492, 68, 17025, 13, 2100, 31, 394, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 475, 273, 458, 302, 2617, 3039, 13067, 292, 275, 1713, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 322, 325, 330, 334, 1445, 311, 1813, 348, 2617, 3039, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 2617, 3039, 13067, 292, 275, 1445, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1445, 2560, 204, 264, 397, 508, 1127, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 546, 19, 4332, 13, 2100, 330, 204, 268, 980, 3180, 13, 75, 7, 13788, 3318, 2100, 2867, 1583, 508, 1337, 431, 204, 204, 264, 314, 763, 273, 458, 302, 2617, 3039, 13067, 292, 275, 1445, 204, 264, 407, 551, 865, 19, 546, 19, 1541, 13, 2100, 17, 2049, 14, 348, 2049, 292, 1127, 19, 8970, 13, 2100, 14, 397, 2049, 19, 9641, 11837, 3039, 14094, 204, 204, 204, 461, 16346, 68, 2375, 13, 1420, 68, 2029, 31, 394, 17, 537, 68, 17025, 31, 458, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 46658, 275, 4578, 302, 275, 537, 1860, 1025, 275, 919, 510, 19, 204, 204, 264, 457, 31, 204, 268, 919, 68, 2029, 322, 325, 330, 334, 2049, 302, 275, 919, 510, 19, 204, 268, 537, 68, 17025, 322, 655, 64, 325, 1037, 332, 458, 302, 13067, 311, 16346, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 1169, 302, 275, 537, 1860, 770, 508, 1337, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 919, 510, 292, 6283, 2291, 204, 268, 440, 1451, 13, 1420, 68, 2029, 17, 388, 70, 528, 4051, 1022, 3102, 18, 29, 431, 448, 20735, 31, 204, 305, 314, 1861, 1048, 848, 537, 510, 204, 305, 348, 2049, 292, 537, 68, 17025, 31, 204, 485, 314, 778, 397, 275, 510, 2560, 204, 485, 397, 508, 1127, 19, 546, 19, 4332, 13, 2029, 330, 204, 895, 980, 3180, 13, 75, 7, 2597, 3318, 2029, 2867, 1583, 508, 1337, 431, 204, 204, 485, 314, 3594, 275, 537, 510, 329, 1151, 1163, 4578, 204, 485, 440, 1451, 13, 2029, 17, 388, 87, 528, 4051, 1022, 3102, 18, 29, 431, 448, 37064, 31, 204, 895, 314, 3400, 275, 4578, 311, 275, 919, 510, 204, 895, 20735, 19, 2206, 13, 37002, 19, 976, 1447, 204, 264, 827, 3180, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 9918, 275, 1445, 329, 919, 2049, 204, 264, 1445, 289, 388, 481, 7, 204, 264, 919, 68, 2029, 289, 388, 768, 19, 3039, 7, 204, 204, 264, 810, 31, 204, 268, 314, 763, 275, 458, 302, 2617, 3039, 13067, 292, 275, 1445, 204, 268, 24238, 68, 17025, 289, 636, 68, 492, 68, 17025, 13, 2100, 14, 204, 204, 268, 314, 778, 397, 1169, 1860, 1466, 1193, 204, 268, 397, 508, 24238, 68, 17025, 31, 204, 305, 456, 13, 75, 7, 3882, 2617, 3039, 1860, 1193, 292, 1445, 3318, 2100, 15049, 204, 305, 407, 204, 204, 268, 314, 14364, 275, 1860, 204, 268, 16346, 68, 2375, 13, 1420, 68, 2029, 17, 24238, 68, 17025, 14, 204, 268, 456, 13, 75, 7, 20962, 15499, 4073, 311, 3318, 1420, 68, 2029, 15049, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 8685, 204, 647, 8632, 204, 647, 1361, 204, 531, 1498, 532, 332, 5940, 578, 17, 5006, 204, 204, 8, 977, 275, 2082, 204, 761, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 37, 481, 3191, 19, 6611, 13, 24244, 34, 1021, 17, 1552, 34, 1021, 14, 204, 676, 28475, 33363, 9261, 31, 204, 264, 320, 204, 264, 2646, 273, 4948, 33363, 7063, 440, 437, 4470, 741, 19, 204, 204, 264, 1532, 31, 204, 268, 7794, 322, 339, 330, 334, 7794, 302, 275, 7063, 19, 204, 268, 4470, 68, 2539, 322, 9261, 31959, 332, 5940, 578, 64, 1386, 3795, 334, 4470, 741, 311, 4490, 19, 204, 264, 320, 204, 264, 7794, 31, 421, 204, 264, 4470, 68, 2539, 31, 5006, 31959, 332, 5940, 578, 64, 1386, 2629, 289, 8632, 19, 1993, 13, 15828, 34, 1975, 14, 204, 204, 676, 20276, 9860, 31, 204, 264, 320, 204, 264, 332, 7373, 2769, 496, 6876, 4948, 33363, 3073, 311, 273, 7373, 19, 204, 204, 264, 334, 8784, 302, 808, 850, 353, 311, 3326, 3073, 311, 273, 7373, 329, 5190, 7794, 311, 4153, 11234, 19, 204, 264, 2416, 732, 490, 17, 838, 273, 7373, 329, 11234, 31, 204, 0, 21874, 408, 6510, 24618, 3169, 19698, 22039, 8566, 11910, 27297, 6804, 110, 46201, 13445, 2112, 10982, 16, 40478, 34372, 5182, 25598, 8566, 3560, 2065, 3784, 9163, 3456, 568, 204, 24919, 19070, 1565, 1258, 2903, 5639, 2544, 408, 6804, 110, 46201, 13445, 2112, 28473, 8297, 10265, 725, 6128, 5159, 725, 5265, 9780, 24, 1377, 2112, 28473, 2831, 408, 776, 104, 1191, 2677, 921, 15679, 12547, 6804, 110, 46201, 13445, 2112, 2575, 28473, 460, 39670, 37718, 2638, 408, 6653, 6142, 2014, 5115, 3571, 5368, 3362, 4068, 408, 17473, 990, 2112, 4079, 3169, 5115, 7342, 6681, 24573, 990, 5368, 2575, 8709, 1001, 17172, 2526, 23455, 23, 1377, 8709, 2338, 8330, 4404, 22, 1377, 8709, 4079, 2112, 568, 22, 1377, 44299, 19888, 3784, 24902, 408, 28, 1377, 33204, 47835, 568, 30525, 43731, 4049, 1377, 27309, 725, 5091, 1377, 10577, 725, 9032, 1377, 10990, 2677, 7333, 2898, 1377, 23806, 10990, 408, 8695, 1689, 1189, 5873, 11905, 10990, 10412, 36228, 1377, 14151, 7925, 28013, 725, 1003, 2562, 1377, 34651, 17429, 568, 204, 6804, 110, 46201, 13445, 38771, 7047, 47835, 2677, 6233, 17718, 11736, 44470, 19888, 6577, 11104, 2653, 204, 6804, 110, 46201, 13445, 5381, 10265, 8846, 2831, 2677, 5368, 11736, 9163, 8846, 2831, 408, 40451, 990, 6245, 2615, 31269, 1001, 460, 4239, 3883, 8846, 2831, 2653, 204, 6804, 110, 46201, 13445, 15659, 1764, 922, 250, 2455, 6653, 47835, 2677, 6233, 1458, 4667, 6660, 30608, 19430, 43275, 11104, 408, 5368, 2112, 11736, 9163, 3235, 8255, 2653, 204, 6804, 110, 46201, 13445, 8297, 15079, 4172, 27962, 14791, 41, 2677, 5851, 6076, 6804, 110, 46201, 13445, 8297, 15079, 16540, 18678, 2831, 2653, 204, 776, 104, 1191, 27962, 4172, 6653, 30206, 5851, 3028, 4500, 17481, 8627, 30206, 2677, 40451, 17675, 4172, 6653, 4241, 22395, 460, 25975, 6653, 2831, 2653, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 39610, 6510, 24618, 3169, 11910, 9125, 24057, 6510, 24618, 3169, 22039, 408, 854, 40763, 9531, 5646, 11308, 5778, 19698, 1227, 8566, 6689, 4660, 3248, 408, 23169, 12094, 7657, 1227, 5778, 8566, 21596, 408, 6510, 24618, 3169, 22039, 3560, 921, 28189, 5038, 2386, 6764, 942, 6631, 1227, 9850, 23847, 568, 204, 6510, 24618, 3169, 22039, 2093, 15313, 2426, 7594, 5778, 8566, 408, 11572, 8612, 5778, 8566, 6883, 7624, 408, 2278, 22039, 8566, 725, 1902, 4828, 8566, 725, 33885, 5778, 8566, 725, 1432, 4530, 1971, 5778, 1251, 13464, 725, 1432, 4530, 1971, 5778, 8566, 725, 3140, 42110, 6689, 17062, 568, 204, 6510, 24618, 3169, 22039, 23187, 11273, 6658, 19908, 5778, 6689, 854, 22424, 11273, 6658, 3235, 10211, 408, 10366, 10120, 460, 6390, 5038, 17572, 408, 6390, 22039, 8566, 6689, 408, 2657, 1189, 4772, 4079, 725, 4231, 4079, 2338, 3359, 40355, 8055, 12552, 4660, 1689, 5097, 17096, 1432, 4530, 12644, 8566, 6689, 408, 1189, 12552, 3500, 23101, 4660, 5778, 20396, 1227, 19493, 568, 204, 6510, 24618, 3169, 22039, 408, 2570, 18709, 5778, 1971, 6883, 9061, 1227, 10700, 3456, 3248, 4134, 0, 647, 1127, 204, 647, 1875, 204, 531, 5217, 37277, 532, 24952, 204, 647, 2010, 448, 645, 204, 647, 304, 204, 531, 15972, 4575, 532, 44588, 204, 531, 1437, 19, 2918, 19, 481, 532, 8641, 204, 647, 1437, 204, 204, 461, 1137, 68, 39613, 68, 2375, 13, 2100, 68, 546, 31, 394, 289, 11360, 1775, 534, 393, 458, 31, 204, 264, 320, 204, 264, 1385, 12301, 1860, 497, 275, 1713, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 322, 325, 330, 334, 1445, 832, 1174, 12301, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 12301, 510, 3630, 19, 204, 264, 320, 204, 264, 314, 763, 273, 458, 302, 1860, 292, 275, 1445, 204, 264, 1860, 289, 1127, 19, 8970, 13, 2100, 68, 546, 14, 204, 615, 264, 314, 4863, 685, 7887, 329, 1860, 496, 4006, 2964, 918, 388, 89, 651, 7, 521, 874, 388, 17505, 7, 292, 1017, 588, 204, 264, 12301, 68, 2375, 289, 551, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 14, 348, 510, 292, 1860, 716, 12764, 397, 1127, 19, 546, 19, 13226, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 602, 329, 388, 89, 651, 7, 292, 510, 329, 388, 17505, 7, 508, 292, 510, 66, 204, 615, 264, 407, 12301, 68, 2375, 204, 204, 461, 1137, 68, 39613, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 1385, 12301, 424, 497, 273, 2084, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 12301, 21046, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 2084, 424, 497, 275, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 4051, 833, 3102, 18, 29, 534, 448, 7248, 31, 204, 305, 12301, 68, 574, 289, 1875, 19, 986, 13, 3228, 14, 204, 305, 407, 12301, 68, 574, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 10318, 2084, 31, 463, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 204, 461, 3106, 68, 39613, 13, 39613, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8414, 273, 12301, 560, 7057, 2872, 2159, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 322, 325, 330, 334, 12301, 311, 3106, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5872, 12301, 19, 204, 264, 320, 204, 264, 314, 968, 273, 4217, 2231, 2679, 311, 2216, 2872, 2724, 204, 264, 4090, 289, 304, 19, 7354, 13, 90, 18380, 21, 18, 30, 70, 18, 17530, 18, 63, 2458, 32, 4015, 4002, 3812, 4134, 990, 1001, 11069, 884, 37, 8, 24136, 104, 10, 5013, 11, 11720, 2677, 2653, 10400, 16, 13359, 13345, 96, 16258, 3058, 34418, 408, 568, 11, 18889, 725, 97, 31, 1984, 23842, 204, 615, 264, 314, 4546, 2872, 2724, 440, 437, 1392, 782, 204, 264, 407, 304, 19, 1509, 13, 8362, 17, 8897, 12301, 14, 204, 204, 461, 7324, 68, 39613, 68, 481, 13, 39613, 68, 2375, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 8254, 12301, 424, 560, 4644, 329, 16622, 25376, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 2375, 322, 655, 330, 332, 458, 302, 12301, 510, 3630, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 5872, 25376, 19, 204, 264, 320, 204, 264, 12301, 68, 655, 289, 1306, 204, 264, 348, 510, 68, 546, 292, 12301, 68, 2375, 31, 204, 268, 12301, 68, 574, 289, 1137, 68, 39613, 68, 481, 13, 553, 68, 546, 14, 204, 268, 348, 12301, 68, 3643, 292, 12301, 68, 574, 31, 204, 305, 12301, 68, 31759, 289, 12301, 68, 3643, 736, 35270, 839, 204, 305, 12301, 289, 13080, 1541, 13, 5614, 68, 39613, 13, 6814, 14, 348, 4094, 292, 12301, 68, 31759, 14, 204, 305, 12301, 68, 655, 19, 1223, 13, 39613, 14, 204, 264, 407, 12301, 68, 655, 204, 204, 461, 9293, 68, 633, 68, 3847, 30107, 13, 39613, 68, 655, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 2208, 9293, 9619, 311, 10341, 9619, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 655, 322, 655, 330, 332, 458, 302, 25376, 292, 9293, 9619, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 25376, 292, 10341, 9619, 19, 204, 264, 320, 204, 264, 15171, 289, 44588, 611, 16306, 18, 77, 640, 534, 204, 264, 407, 551, 18228, 19, 6470, 13, 39613, 14, 348, 12301, 292, 12301, 68, 655, 66, 204, 204, 461, 7324, 68, 7021, 13, 39613, 68, 655, 31, 458, 14, 393, 24952, 31, 204, 264, 320, 204, 264, 8254, 273, 7494, 497, 273, 458, 302, 25376, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 655, 322, 655, 330, 332, 458, 302, 25376, 19, 204, 204, 264, 475, 31, 204, 268, 24952, 31, 332, 7494, 726, 19, 204, 264, 320, 204, 264, 5636, 289, 24952, 374, 204, 264, 348, 12301, 292, 12301, 68, 655, 31, 204, 268, 348, 1943, 292, 12301, 31, 204, 305, 5636, 19, 826, 13, 6391, 14, 204, 264, 5636, 19, 3751, 68, 7021, 374, 204, 264, 407, 5636, 204, 204, 461, 1142, 68, 633, 68, 3443, 13, 39613, 68, 655, 31, 458, 17, 5636, 31, 24952, 17, 846, 68, 1796, 31, 421, 289, 5074, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2208, 25376, 311, 1112, 6161, 19, 204, 204, 264, 457, 31, 204, 268, 12301, 68, 655, 322, 655, 330, 332, 458, 302, 25376, 19, 204, 268, 5636, 322, 38617, 330, 332, 7494, 726, 19, 204, 268, 846, 68, 1796, 322, 339, 330, 334, 1646, 1277, 302, 273, 12301, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 1112, 6161, 19, 204, 264, 320, 204, 264, 951, 68, 481, 289, 1306, 204, 264, 348, 12301, 292, 12301, 68, 655, 31, 204, 268, 314, 17221, 521, 27418, 275, 12301, 311, 275, 1646, 1277, 204, 268, 397, 1245, 13, 39613, 14, 1323, 846, 68, 1796, 31, 204, 305, 12301, 289, 12301, 2022, 1129, 68, 1796, 66, 204, 268, 902, 31, 204, 305, 12301, 1412, 379, 379, 540, 322, 1129, 68, 1796, 338, 1245, 13, 39613, 602, 204, 822, 268, 314, 2208, 275, 12301, 311, 273, 458, 302, 3265, 204, 268, 771, 68, 655, 289, 551, 7021, 19, 633, 68, 998, 13, 6391, 14, 348, 1943, 292, 12301, 66, 204, 268, 951, 68, 481, 19, 1223, 13, 920, 68, 655, 14, 204, 264, 407, 645, 19, 643, 13, 1219, 68, 481, 14, 204, 204, 461, 667, 1293, 204, 264, 314, 1385, 12301, 1860, 204, 264, 12301, 68, 2375, 289, 1137, 68, 39613, 68, 2375, 374, 204, 615, 264, 314, 8254, 12301, 424, 204, 264, 12301, 68, 655, 289, 7324, 68, 39613, 68, 481, 13, 39613, 68, 2375, 14, 204, 615, 264, 314, 2208, 9293, 9619, 311, 10341, 9619, 204, 264, 12301, 68, 655, 289, 9293, 68, 633, 68, 3847, 30107, 13, 39613, 68, 655, 14, 204, 615, 264, 314, 8254, 7494, 204, 264, 5636, 289, 7324, 68, 7021, 13, 39613, 68, 655, 14, 204, 615, 264, 314, 2208, 25376, 311, 1112, 6161, 204, 264, 6849, 68, 7671, 289, 1142, 68, 633, 68, 3443, 13, 39613, 68, 655, 17, 5636, 14, 204, 615, 264, 407, 6849, 68, 7671, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 6849, 68, 7671, 289, 667, 374, 204, 264, 456, 13, 3443, 68, 7671, 14, 204, 0, 658, 12082, 348, 15386, 11917, 31395, 204, 204, 673, 2089, 311, 949, 275, 11504, 16903, 329, 5500, 437, 3315, 372, 1613, 7049, 353, 31, 204, 204, 5145, 281, 430, 6322, 289, 16216, 610, 296, 610, 322, 22, 465, 296, 2246, 83, 802, 5796, 22, 465, 296, 2246, 83, 338, 368, 14, 204, 204, 3663, 31, 204, 18, 296, 289, 3205, 2233, 841, 6322, 3155, 204, 18, 300, 289, 542, 302, 16903, 204, 18, 16216, 289, 9758, 1690, 302, 275, 11504, 204, 204, 1380, 1165, 15591, 204, 204, 3070, 273, 2327, 18, 4994, 686, 2051, 11504, 440, 435, 2847, 9433, 3205, 31, 204, 204, 22, 19, 888, 275, 9433, 6322, 31, 204, 22708, 289, 1607, 610, 500, 19, 5559, 610, 322, 22, 465, 500, 19, 5559, 2246, 24, 802, 5796, 22, 465, 500, 19, 5559, 2246, 24, 338, 368, 14, 204, 34, 1607, 610, 500, 19, 5559, 610, 368, 19, 7788, 1258, 802, 500, 19, 7788, 1258, 204, 34, 9131, 19, 6996, 204, 204, 23, 19, 888, 275, 3205, 348, 275, 1043, 6322, 31, 204, 9, 2051, 19, 473, 610, 500, 19, 5559, 289, 686, 23, 19, 473, 3205, 19, 204, 204, 24, 19, 888, 275, 9758, 10872, 292, 275, 1043, 6322, 31, 204, 9, 5091, 19, 6996, 338, 686, 23, 289, 686, 2177, 19, 6996, 204, 204, 25, 19, 888, 275, 717, 27883, 3188, 31, 204, 9, 2051, 338, 686, 2177, 19, 6996, 289, 686, 5645, 19, 2177, 204, 204, 1380, 13325, 37308, 15386, 40092, 204, 204, 673, 6639, 3205, 2233, 618, 444, 3392, 974, 275, 2631, 3214, 31, 204, 204, 22, 19, 4347, 275, 11504, 1690, 17, 11504, 3155, 17, 329, 23849, 3205, 2233, 19, 204, 23, 19, 888, 275, 9433, 6322, 974, 275, 2089, 4166, 19, 204, 24, 19, 888, 275, 1113, 3205, 10872, 1048, 275, 11504, 3155, 19, 204, 25, 19, 888, 275, 6639, 3205, 2233, 974, 275, 7599, 2233, 302, 407, 322, 9481, 55, 14, 741, 19, 204, 204, 1380, 1165, 31, 15386, 22117, 523, 20811, 31395, 20074, 204, 204, 18, 31395, 1690, 31, 686, 2051, 204, 18, 31395, 3155, 31, 571, 5869, 204, 18, 43013, 1082, 3205, 2233, 31, 435, 10, 841, 2699, 204, 18, 35013, 6322, 31, 686, 5091, 19, 6996, 204, 18, 37308, 3205, 2233, 31, 435, 10, 841, 2699, 204, 204, 1380, 1165, 31, 15386, 39540, 2691, 336, 1434, 24950, 497, 20811, 31395, 20074, 204, 204, 18, 31395, 1690, 31, 686, 2051, 204, 18, 31395, 3155, 31, 571, 5869, 204, 18, 43013, 1082, 3205, 2233, 31, 435, 10, 841, 2699, 204, 18, 35013, 6322, 31, 686, 3268, 19, 3268, 322, 6593, 9758, 14, 204, 18, 20074, 42176, 19692, 31, 686, 4957, 19, 5007, 14584, 25, 19, 6257, 3205, 353, 26021, 497, 2171, 11504, 1690, 14, 204, 18, 37308, 3205, 2233, 31, 435, 19, 7085, 10, 841, 2699, 204, 204, 1380, 1165, 31, 964, 640, 440, 2001, 624, 1070, 16720, 2083, 204, 204, 18, 31395, 1690, 31, 686, 2051, 204, 18, 31395, 3155, 31, 571, 5869, 204, 18, 43013, 1082, 3205, 2233, 31, 435, 10, 841, 2699, 204, 18, 35013, 6322, 31, 686, 5091, 19, 6996, 204, 18, 565, 10287, 270, 19722, 686, 1511, 523, 7666, 17, 348, 2970, 9212, 435, 10, 3205, 841, 2699, 204, 18, 37308, 9433, 6322, 31, 686, 4049, 19, 2132, 14584, 5091, 19, 6996, 465, 686, 21, 19, 1719, 8287, 7582, 14, 204, 18, 37308, 3205, 2233, 31, 681, 19, 24, 10, 841, 2699, 322, 29479, 974, 43299, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14, 0, 647, 9456, 204, 531, 4714, 68, 20399, 19, 5000, 532, 4086, 2177, 204, 531, 8605, 68, 20399, 19, 5000, 532, 26133, 29590, 17, 26133, 204, 531, 29440, 93, 68, 20399, 19, 5000, 532, 29809, 17880, 8713, 17, 29809, 17880, 204, 531, 29440, 93, 68, 20399, 19, 5000, 532, 33949, 204, 531, 5722, 68, 20399, 19, 5000, 532, 3207, 204, 531, 2044, 68, 20379, 532, 46051, 36384, 204, 531, 3702, 68, 12499, 19, 19663, 68, 8895, 532, 313, 49, 5948, 204, 647, 1774, 204, 647, 2044, 23, 204, 647, 11055, 204, 647, 2821, 204, 204, 676, 313, 49, 16093, 31, 204, 264, 320, 204, 264, 29809, 13386, 42388, 850, 19, 204, 204, 264, 1058, 850, 353, 7029, 348, 28305, 10935, 14495, 329, 22771, 275, 8462, 24931, 311, 275, 10935, 3702, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 313, 49, 16093, 850, 19, 204, 204, 268, 977, 275, 16087, 944, 17, 27467, 17, 36095, 17, 329, 904, 2558, 19, 204, 268, 320, 204, 268, 9456, 19, 924, 68, 1241, 611, 19663, 68, 13635, 534, 204, 204, 268, 314, 4861, 204, 268, 370, 19, 15486, 68, 9763, 68, 12300, 289, 571, 204, 204, 268, 314, 977, 2558, 204, 268, 370, 19, 3473, 289, 443, 204, 268, 370, 19, 8844, 68, 935, 289, 443, 204, 268, 370, 19, 19097, 289, 443, 204, 268, 370, 19, 14071, 289, 1306, 204, 268, 370, 19, 4753, 68, 935, 289, 1078, 204, 204, 268, 314, 666, 27467, 204, 268, 370, 19, 3473, 68, 27417, 289, 9456, 19, 27586, 4195, 1976, 68, 3473, 491, 26133, 29590, 17, 370, 19, 3473, 68, 6197, 14, 204, 268, 370, 19, 41212, 68, 27417, 289, 9456, 19, 27586, 4195, 772, 68, 41212, 491, 33949, 17, 370, 19, 41212, 68, 6197, 14, 204, 268, 370, 19, 22337, 68, 27417, 289, 9456, 19, 27586, 4195, 11735, 20, 22337, 68, 14071, 491, 29809, 17880, 8713, 17, 370, 19, 22337, 68, 6197, 14, 204, 268, 370, 19, 935, 68, 27417, 289, 9456, 19, 27586, 4195, 935, 68, 2640, 491, 3207, 17, 370, 19, 935, 68, 6197, 14, 204, 204, 268, 314, 1385, 1586, 204, 268, 954, 68, 1031, 289, 9456, 19, 505, 68, 2394, 6343, 22337, 68, 3676, 68, 1087, 431, 204, 268, 370, 19, 1087, 289, 11055, 19, 986, 13, 1087, 68, 1031, 14, 204, 204, 268, 314, 666, 11804, 204, 268, 370, 19, 48558, 68, 747, 68, 3676, 68, 3819, 289, 9456, 19, 18988, 4195, 22337, 68, 30410, 491, 4086, 2177, 17, 2769, 68, 835, 34, 22, 14, 204, 204, 268, 314, 977, 904, 2558, 204, 268, 370, 19, 20379, 289, 46051, 36384, 374, 204, 268, 370, 19, 3676, 68, 8895, 289, 313, 49, 5948, 374, 204, 268, 370, 19, 19339, 289, 1774, 19, 11557, 25164, 374, 204, 268, 370, 19, 1512, 289, 29809, 17880, 19, 32567, 204, 268, 370, 19, 2391, 68, 1512, 289, 29809, 17880, 19, 32567, 204, 268, 370, 19, 2391, 68, 29418, 289, 338, 22, 204, 268, 370, 19, 1512, 68, 765, 289, 500, 204, 204, 264, 436, 11139, 68, 6197, 13, 327, 17, 11139, 31, 26133, 29590, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 11139, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 11139, 322, 32078, 29590, 330, 334, 790, 11139, 302, 275, 5654, 19, 204, 268, 320, 204, 268, 370, 19, 3473, 289, 11139, 204, 204, 264, 436, 35655, 68, 6197, 13, 327, 17, 19168, 31, 33949, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 35655, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 19168, 322, 49, 2351, 330, 334, 35655, 302, 275, 19168, 19, 204, 268, 320, 204, 268, 370, 19, 19097, 289, 19168, 204, 204, 264, 436, 10935, 68, 6197, 13, 327, 17, 10935, 68, 3676, 68, 643, 31, 29809, 17880, 8713, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 10935, 3702, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 10935, 68, 3676, 68, 643, 322, 43386, 17880, 8713, 330, 334, 10935, 3702, 1348, 19, 204, 268, 320, 204, 268, 370, 19, 14071, 289, 10935, 68, 3676, 68, 643, 19, 14071, 204, 204, 264, 436, 752, 68, 6197, 13, 327, 17, 752, 31, 3207, 14, 393, 443, 31, 204, 268, 320, 204, 268, 21203, 741, 348, 752, 3595, 19, 204, 204, 268, 457, 31, 204, 305, 752, 322, 3873, 330, 334, 4812, 752, 19, 204, 268, 320, 204, 268, 370, 19, 4753, 68, 935, 289, 959, 204, 268, 370, 19, 8844, 68, 935, 289, 752, 204, 268, 3702, 68, 29418, 17, 1259, 289, 370, 19, 1616, 68, 22337, 68, 14071, 374, 204, 204, 268, 314, 15657, 25860, 4720, 14495, 630, 4812, 3133, 204, 268, 397, 370, 19, 1512, 2167, 1259, 31, 204, 305, 370, 19, 1512, 68, 765, 289, 500, 204, 305, 370, 19, 1512, 289, 1259, 204, 268, 1677, 370, 19, 1512, 68, 765, 3721, 370, 19, 15486, 68, 9763, 68, 12300, 31, 204, 305, 370, 19, 2391, 68, 1512, 289, 370, 19, 1512, 204, 305, 3702, 68, 29418, 289, 3702, 68, 29418, 397, 1259, 292, 551, 43386, 17880, 19, 12021, 17, 29809, 17880, 19, 33400, 66, 902, 338, 22, 204, 305, 370, 19, 2391, 68, 29418, 289, 3702, 68, 29418, 204, 305, 370, 19, 48558, 68, 747, 68, 3676, 68, 3819, 19, 12521, 13, 6594, 2177, 13, 3676, 68, 29418, 602, 204, 268, 902, 31, 204, 305, 370, 19, 48558, 68, 747, 68, 3676, 68, 3819, 19, 12521, 13, 6594, 2177, 13, 327, 19, 2391, 68, 29418, 602, 204, 268, 370, 19, 1512, 68, 765, 1412, 368, 204, 204, 264, 436, 636, 68, 19764, 68, 30410, 13, 327, 17, 11139, 31, 26133, 17, 35655, 31, 458, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 8462, 24931, 311, 275, 800, 11139, 19, 204, 204, 268, 457, 31, 204, 305, 11139, 322, 32078, 330, 334, 11139, 311, 1020, 275, 8462, 24931, 311, 19, 204, 305, 35655, 322, 655, 330, 334, 458, 302, 35655, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1112, 302, 275, 8462, 24931, 19, 204, 268, 320, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 314, 888, 275, 1759, 1283, 275, 11139, 329, 848, 24931, 204, 268, 5324, 289, 551, 327, 19, 3446, 68, 3174, 13, 3473, 17, 24931, 19, 3473, 19, 3473, 14, 348, 24931, 292, 35655, 66, 204, 268, 314, 455, 275, 1112, 302, 275, 8462, 24931, 204, 268, 407, 5324, 19, 998, 13, 885, 13, 9854, 602, 204, 204, 264, 436, 636, 68, 19764, 68, 998, 13, 327, 17, 2147, 68, 3473, 31, 26133, 17, 44986, 68, 3473, 68, 655, 31, 458, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 8462, 1112, 311, 275, 800, 11139, 19, 204, 204, 268, 457, 31, 204, 305, 2147, 68, 3473, 322, 32078, 330, 334, 11139, 311, 1020, 275, 8462, 1112, 311, 19, 204, 305, 44986, 68, 3473, 68, 655, 322, 655, 330, 334, 458, 302, 10935, 3702, 25803, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1112, 302, 275, 8462, 10935, 3702, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1759, 1283, 275, 2147, 11139, 329, 848, 10935, 3702, 11139, 204, 268, 5324, 289, 551, 327, 19, 3446, 68, 3174, 13, 5365, 68, 3473, 17, 44986, 68, 3473, 19, 3473, 19, 3473, 14, 348, 44986, 68, 3473, 292, 44986, 68, 3473, 68, 655, 66, 204, 268, 314, 455, 275, 1112, 302, 275, 8462, 10935, 3702, 204, 268, 407, 5324, 19, 998, 13, 885, 13, 9854, 602, 204, 204, 264, 436, 949, 68, 3174, 13, 327, 17, 11139, 22, 31, 26133, 17, 11139, 23, 31, 26133, 14, 393, 818, 31, 204, 268, 320, 204, 268, 888, 275, 1759, 1283, 970, 25803, 19, 204, 204, 268, 457, 31, 204, 305, 11139, 22, 322, 32078, 330, 334, 1043, 11139, 19, 204, 305, 11139, 23, 322, 32078, 330, 334, 1350, 11139, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1759, 1283, 275, 970, 25803, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1759, 974, 275, 10781, 1759, 2089, 204, 268, 407, 2821, 19, 25702, 13, 3473, 22, 19, 1932, 19, 93, 338, 11139, 23, 19, 1932, 19, 93, 17, 11139, 22, 19, 1932, 19, 94, 338, 11139, 23, 19, 1932, 19, 94, 14, 204, 204, 264, 436, 636, 68, 3676, 68, 1512, 13, 327, 17, 3702, 31, 29809, 17880, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 1259, 302, 275, 800, 10935, 3702, 19, 204, 204, 268, 457, 31, 204, 305, 3702, 322, 43386, 17880, 330, 334, 10935, 3702, 311, 636, 275, 1259, 302, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1259, 302, 275, 10935, 3702, 19, 204, 268, 320, 204, 268, 397, 508, 370, 19, 4753, 68, 935, 31, 204, 305, 407, 1078, 204, 268, 2044, 68, 935, 289, 370, 19, 20379, 19, 3371, 5000, 68, 633, 68, 4869, 23, 13, 327, 19, 8844, 68, 935, 17, 388, 38976, 29, 431, 204, 268, 407, 370, 19, 3676, 68, 8895, 19, 505, 68, 12499, 13, 4869, 68, 935, 14, 204, 204, 264, 436, 1900, 68, 3676, 13, 327, 17, 610, 31, 818, 17, 469, 31, 818, 17, 1264, 31, 818, 14, 393, 29809, 17880, 31, 204, 268, 320, 204, 268, 2069, 273, 10935, 3702, 440, 275, 800, 1502, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 996, 330, 334, 610, 18, 3936, 302, 275, 10935, 3702, 19, 204, 305, 469, 322, 996, 330, 334, 469, 18, 3936, 302, 275, 10935, 3702, 19, 204, 305, 1264, 322, 996, 330, 334, 1264, 18, 3936, 302, 275, 10935, 3702, 19, 204, 204, 268, 475, 31, 204, 305, 29809, 17880, 31, 334, 4489, 10935, 3702, 19, 204, 268, 320, 204, 268, 3702, 289, 29809, 17880, 374, 204, 268, 3702, 19, 3473, 289, 26133, 29590, 374, 204, 268, 3702, 19, 3473, 19, 3473, 19, 1932, 19, 93, 289, 610, 204, 268, 3702, 19, 3473, 19, 3473, 19, 1932, 19, 94, 289, 469, 204, 268, 3702, 19, 3473, 19, 3473, 19, 1932, 19, 95, 289, 1264, 204, 268, 407, 3702, 204, 204, 264, 436, 1352, 68, 22337, 68, 14071, 13, 327, 14, 393, 927, 31, 204, 268, 320, 204, 268, 3325, 10935, 14495, 329, 407, 275, 8462, 24931, 329, 1259, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 8462, 24931, 329, 275, 1259, 302, 275, 10935, 3702, 19, 204, 268, 320, 204, 268, 3702, 289, 443, 204, 268, 3506, 68, 1054, 68, 5864, 289, 370, 19, 1087, 736, 5029, 68, 1054, 68, 5864, 839, 204, 268, 397, 370, 19, 3473, 329, 370, 19, 19097, 31, 204, 305, 3702, 68, 1932, 289, 370, 19, 505, 68, 19764, 68, 998, 13, 327, 19, 3473, 19, 3473, 17, 370, 19, 14071, 14, 204, 305, 3702, 68, 29418, 289, 370, 19, 505, 68, 19764, 68, 30410, 13, 327, 19, 14071, 64, 3676, 68, 1932, 1664, 3473, 19, 3473, 17, 370, 19, 19097, 19, 41212, 14, 204, 305, 2238, 289, 551, 327, 19, 4776, 68, 3676, 13, 1075, 64, 21, 648, 1050, 64, 22, 648, 500, 6268, 348, 1050, 292, 3506, 68, 1054, 68, 5864, 66, 204, 305, 1007, 68, 29418, 289, 370, 19, 505, 68, 19764, 68, 30410, 13, 2604, 64, 3676, 68, 1932, 1664, 3473, 19, 3473, 17, 370, 19, 19097, 19, 41212, 14, 204, 305, 1259, 289, 370, 19, 14071, 64, 3676, 68, 1932, 1664, 1512, 226, 314, 370, 19, 505, 68, 3676, 68, 1512, 13, 327, 19, 14071, 64, 3676, 68, 1932, 694, 204, 305, 407, 1007, 68, 29418, 17, 1259, 204, 268, 407, 338, 22, 17, 29809, 17880, 19, 32567, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 810, 31, 204, 268, 313, 49, 16093, 374, 204, 264, 827, 9456, 19, 2267, 1815, 1537, 7143, 2940, 31, 204, 268, 9456, 19, 48155, 611, 19230, 508, 1012, 10935, 944, 5901, 204, 0, 676, 9730, 31, 204, 264, 320, 204, 264, 2646, 273, 3886, 440, 273, 588, 329, 273, 458, 302, 9700, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 3886, 19, 204, 268, 9700, 322, 655, 330, 332, 458, 302, 9700, 292, 275, 3886, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 9730, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 3886, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 16532, 289, 1306, 204, 204, 264, 436, 881, 68, 8804, 13, 327, 17, 4703, 31, 379, 11926, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 437, 4703, 311, 275, 3886, 19, 204, 204, 268, 457, 31, 204, 305, 4703, 322, 11926, 330, 334, 4703, 311, 881, 19, 204, 268, 320, 204, 268, 370, 19, 16532, 19, 1223, 13, 8804, 14, 204, 204, 264, 436, 456, 68, 4810, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 3886, 3695, 17, 2864, 1163, 588, 329, 9700, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 17871, 4014, 31, 463, 327, 19, 417, 743, 204, 268, 456, 499, 46901, 7092, 2212, 204, 268, 348, 4703, 292, 370, 19, 16532, 31, 204, 305, 4703, 19, 2102, 68, 4810, 374, 204, 204, 204, 676, 6909, 31, 204, 264, 320, 204, 264, 2646, 273, 1874, 440, 273, 588, 329, 2523, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1874, 19, 204, 268, 2523, 322, 339, 330, 334, 2523, 302, 275, 1874, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 2523, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 6909, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 1874, 19, 204, 305, 2523, 322, 339, 330, 334, 2523, 302, 275, 1874, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 438, 289, 2523, 204, 204, 264, 436, 456, 68, 4810, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 1874, 677, 3695, 17, 2864, 1017, 588, 329, 2523, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 417, 1522, 13995, 31, 463, 327, 19, 438, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 3886, 329, 1429, 9700, 17, 329, 5538, 1017, 3695, 19, 204, 264, 320, 204, 264, 314, 666, 273, 3886, 204, 264, 3886, 289, 9730, 499, 16226, 9730, 431, 204, 204, 264, 314, 666, 1429, 9700, 204, 264, 4703, 22, 289, 6909, 499, 6192, 7358, 528, 2468, 14, 204, 264, 4703, 23, 289, 6909, 499, 14993, 7358, 528, 2019, 14, 204, 204, 264, 314, 1255, 9700, 311, 275, 3886, 204, 264, 3886, 19, 826, 68, 8804, 13, 8804, 22, 14, 204, 264, 3886, 19, 826, 68, 8804, 13, 8804, 23, 14, 204, 204, 264, 314, 1198, 3886, 3695, 204, 264, 3886, 19, 2102, 68, 4810, 374, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 16850, 8339, 302, 29633, 30403, 1164, 37364, 302, 29633, 30403, 11261, 4839, 17, 9300, 12535, 1226, 18457, 1622, 3837, 884, 88, 2439, 545, 24194, 12206, 31, 2935, 5814, 5805, 1622, 3027, 545, 1001, 36, 1164, 12535, 1226, 18457, 1622, 3837, 884, 88, 2439, 545, 24194, 12206, 31, 2935, 5814, 5805, 1622, 3027, 545, 1001, 36, 3899, 9419, 31, 3400, 1873, 630, 3406, 720, 6016, 302, 29633, 329, 11955, 18, 49, 4059, 5337, 1164, 3899, 9419, 31, 3400, 1873, 630, 3406, 720, 6016, 302, 29633, 329, 11955, 18, 49, 4059, 5337, 41301, 618, 444, 6167, 1025, 29633, 521, 11955, 18, 49, 4059, 6, 1164, 41301, 618, 444, 6167, 1025, 29633, 521, 11955, 18, 49, 4059, 6, 4087, 17, 2075, 353, 273, 7497, 7936, 36, 1164, 4087, 17, 2075, 353, 273, 7497, 7936, 36, 2935, 353, 275, 2712, 1283, 273, 4968, 329, 273, 11118, 36, 204, 3728, 5814, 830, 275, 5337, 292, 872, 1622, 35713, 1001, 1837, 7497, 36, 204, 3728, 770, 830, 7497, 5337, 874, 292, 2323, 36, 3065, 529, 887, 10569, 302, 29633, 30403, 1164, 3065, 529, 887, 10569, 302, 29633, 30403, 29633, 5337, 529, 2927, 719, 302, 36398, 367, 204, 49, 4059, 5337, 5961, 329, 732, 36398, 367, 204, 49, 4059, 5337, 22145, 24138, 329, 36398, 68, 204, 49, 4059, 5337, 36398, 5606, 204, 49, 4059, 5337, 22145, 15030, 204, 49, 4059, 5337, 22145, 367, 311, 1017, 1964, 4207, 2796, 3437, 2390, 33895, 2284, 8649, 3899, 32111, 7051, 5360, 36, 1164, 3899, 32111, 7051, 5360, 36, 3899, 32111, 7051, 5360, 36, 1164, 3899, 32111, 7051, 5360, 36, 15229, 5297, 5912, 1164, 15229, 5297, 5912, 1974, 275, 6338, 440, 830, 275, 887, 10569, 311, 3020, 397, 275, 5337, 496, 572, 10869, 1873, 2518, 529, 6327, 7497, 521, 1950, 35713, 19, 204, 15406, 275, 588, 302, 275, 726, 521, 13230, 292, 1824, 18, 4659, 1837, 204, 5995, 275, 6591, 1683, 848, 13305, 15229, 5297, 5912, 1164, 15229, 5297, 5912, 12322, 1605, 5337, 7497, 521, 1950, 35713, 36, 1164, 12322, 1605, 5337, 7497, 521, 1950, 35713, 36, 33893, 1164, 33893, 4456, 273, 7157, 311, 1173, 848, 302, 275, 887, 10569, 302, 7497, 5337, 19, 9076, 311, 47034, 15259, 2001, 310, 1430, 11274, 270, 31, 1164, 9076, 311, 47034, 15259, 2001, 310, 1430, 11274, 270, 31, 1058, 14756, 867, 1376, 292, 273, 9542, 9116, 275, 887, 10569, 302, 7497, 5337, 17, 448, 275, 7830, 302, 273, 2350, 523, 16031, 6980, 19, 334, 1419, 12535, 1226, 18457, 2752, 867, 1376, 448, 273, 1622, 8572, 1001, 311, 636, 2459, 12912, 19, 334, 970, 2388, 302, 6415, 322, 389, 5751, 17, 1051, 508, 14, 1466, 1376, 311, 6548, 1662, 6415, 618, 1622, 1766, 3582, 334, 2423, 2752, 928, 5913, 33125, 302, 273, 8372, 302, 1792, 7497, 329, 1950, 18, 35713, 5337, 867, 1376, 448, 273, 850, 4801, 17, 1273, 2459, 9002, 497, 275, 2752, 3855, 275, 5337, 1466, 7497, 521, 508, 19, 334, 21020, 1466, 1376, 311, 1340, 2459, 3126, 808, 9542, 292, 275, 2085, 302, 5658, 5194, 302, 34609, 19, 334, 44528, 45896, 311, 16811, 19889, 1483, 1466, 1376, 448, 273, 1085, 302, 275, 20938, 17, 754, 382, 2549, 4566, 2459, 2075, 1250, 6183, 4230, 3891, 1682, 2518, 39759, 275, 1142, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17, 521, 275, 1682, 1870, 302, 275, 6338, 19, 0, 647, 1127, 204, 531, 752, 1678, 19, 25619, 532, 12206, 5379, 25619, 204, 204, 461, 3219, 68, 4814, 68, 1386, 68, 13635, 13, 12762, 68, 546, 31, 394, 14, 393, 12206, 5379, 25619, 31, 204, 264, 320, 204, 264, 16927, 273, 2752, 726, 10780, 440, 275, 445, 4732, 5480, 570, 19, 204, 204, 264, 457, 31, 204, 264, 5156, 68, 546, 322, 325, 330, 334, 790, 4636, 1445, 19, 204, 204, 264, 475, 31, 204, 264, 12206, 5379, 25619, 31, 334, 12770, 10780, 19, 204, 264, 320, 204, 264, 314, 977, 275, 2752, 726, 10780, 204, 264, 10780, 289, 12206, 5379, 25619, 374, 204, 615, 264, 314, 1359, 275, 570, 1187, 311, 445, 4732, 5480, 204, 264, 10780, 19, 574, 1655, 2191, 5039, 4100, 4732, 5480, 374, 204, 615, 264, 314, 1359, 275, 570, 832, 204, 264, 570, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 12762, 68, 546, 17, 388, 27575, 20, 17014, 1719, 68, 24789, 68, 6222, 68, 91, 23, 19, 22, 19, 21, 19, 77, 26, 431, 204, 264, 10780, 19, 574, 1655, 4203, 13, 809, 68, 546, 14, 204, 615, 264, 314, 1385, 275, 570, 204, 264, 10780, 19, 986, 1655, 374, 204, 615, 264, 407, 10780, 204, 204, 461, 1352, 68, 4814, 68, 1669, 13, 1669, 68, 1190, 31, 421, 17, 919, 68, 643, 31, 458, 17, 919, 68, 765, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9506, 273, 2875, 2023, 302, 275, 2752, 17, 9095, 919, 329, 21852, 311, 275, 6591, 458, 19, 204, 204, 264, 457, 31, 204, 264, 2023, 68, 1190, 322, 339, 330, 334, 790, 2023, 542, 19, 204, 264, 919, 68, 643, 322, 655, 330, 334, 919, 1348, 348, 848, 726, 19, 204, 264, 919, 68, 765, 322, 339, 330, 334, 919, 1040, 348, 2220, 2828, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 2023, 542, 204, 264, 456, 13, 75, 7, 18055, 14354, 463, 1669, 68, 1190, 743, 204, 615, 264, 314, 1198, 275, 919, 348, 848, 726, 204, 264, 456, 499, 8116, 348, 848, 726, 1164, 6277, 919, 68, 643, 14, 204, 615, 264, 314, 1198, 275, 919, 1040, 348, 2220, 2828, 204, 264, 456, 499, 8116, 1040, 348, 2220, 2828, 1164, 6277, 919, 68, 765, 14, 204, 615, 264, 314, 1198, 273, 11161, 204, 264, 456, 499, 2118, 1028, 6627, 14047, 332, 41855, 1584, 338, 38164, 431, 204, 204, 461, 4522, 68, 2856, 68, 266, 68, 4814, 13, 13635, 31, 12206, 5379, 25619, 17, 5156, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 30964, 2828, 292, 275, 2752, 974, 275, 12770, 10780, 19, 204, 204, 264, 457, 31, 204, 264, 10780, 322, 9501, 5379, 25619, 330, 334, 12770, 10780, 19, 204, 264, 5156, 68, 546, 322, 325, 330, 334, 790, 4636, 1445, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 832, 311, 275, 919, 2752, 19, 204, 264, 320, 204, 264, 314, 968, 2363, 2828, 311, 4522, 204, 264, 2363, 68, 2856, 289, 10780, 19, 9005, 32932, 13, 45642, 68, 5689, 34, 1021, 17, 26989, 68, 9514, 34, 1021, 14, 204, 615, 264, 314, 968, 275, 537, 329, 919, 2752, 3630, 204, 264, 537, 68, 4814, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 12762, 68, 546, 17, 388, 481, 20, 747, 68, 7706, 14000, 19, 26068, 431, 204, 264, 919, 68, 4814, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 12762, 68, 546, 17, 388, 2826, 20, 9514, 68, 5689, 68, 14779, 431, 204, 615, 264, 314, 9557, 2363, 2828, 497, 275, 2752, 204, 264, 2752, 68, 546, 289, 10780, 19, 11283, 9005, 32932, 7374, 9501, 13, 204, 268, 2363, 68, 2856, 34, 5010, 68, 2856, 17, 204, 268, 537, 68, 553, 68, 546, 34, 768, 68, 4814, 68, 546, 17, 204, 268, 919, 68, 553, 68, 546, 34, 1420, 68, 4814, 68, 546, 17, 204, 268, 6710, 68, 558, 68, 4397, 34, 23, 17, 716, 268, 711, 68, 10404, 34, 1021, 17, 204, 268, 841, 68, 1669, 68, 2539, 34, 1616, 68, 4814, 68, 1669, 204, 264, 1179, 204, 615, 264, 407, 2752, 68, 546, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 3416, 719, 275, 2752, 726, 10780, 329, 45717, 2828, 292, 275, 2752, 19, 204, 264, 320, 204, 264, 314, 763, 275, 790, 4636, 1445, 204, 264, 5156, 68, 546, 289, 1127, 19, 14702, 374, 204, 615, 264, 314, 1359, 719, 275, 2752, 726, 10780, 204, 264, 10780, 289, 3219, 68, 4814, 68, 1386, 68, 13635, 13, 12762, 68, 546, 14, 204, 615, 264, 314, 9557, 2828, 292, 275, 2752, 204, 264, 2752, 68, 546, 289, 4522, 68, 2856, 68, 266, 68, 4814, 13, 13635, 17, 5156, 68, 546, 14, 204, 615, 264, 314, 1198, 275, 919, 2752, 832, 204, 264, 456, 499, 8116, 12206, 2621, 2180, 2752, 68, 546, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 22, 19, 14341, 41743, 12322, 472, 494, 517, 322, 416, 313, 7229, 29548, 14, 18238, 3117, 353, 283, 494, 517, 329, 48865, 4037, 1194, 3117, 496, 1742, 16017, 336, 521, 3714, 83, 292, 497, 11342, 302, 6172, 5501, 19, 26689, 872, 618, 2964, 18385, 275, 2712, 1283, 2249, 46621, 19899, 27846, 329, 2249, 46621, 19899, 1673, 3747, 17, 9381, 18, 17477, 1588, 17, 329, 39875, 292, 12686, 36, 3665, 618, 19, 204, 7002, 11370, 3117, 36, 1547, 36403, 6397, 4440, 19, 204, 23, 19, 14341, 41743, 12322, 34051, 281, 322, 416, 313, 7229, 29548, 14, 3837, 1631, 444, 3252, 31, 6434, 391, 25635, 11337, 311, 3114, 33725, 19, 4168, 1583, 273, 401, 8078, 4308, 5506, 2765, 36, 4168, 872, 9314, 3891, 292, 497, 685, 302, 275, 32134, 10546, 19, 45649, 17985, 292, 7751, 48865, 2765, 1330, 872, 21653, 2964, 21650, 1169, 292, 1233, 521, 931, 5869, 582, 5515, 5256, 348, 1163, 18385, 311, 444, 273, 13844, 22260, 4843, 496, 353, 24479, 2444, 934, 7175, 440, 496, 1043, 28397, 302, 275, 7751, 19, 38143, 22561, 3210, 10682, 7751, 3483, 17, 440, 830, 275, 355, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19461, 344, 329, 6465, 27616, 496, 814, 24079, 490, 19, 204, 24, 19, 14341, 41743, 33797, 16033, 28457, 16770, 33274, 32424, 11342, 302, 6172, 1429, 3117, 353, 41225, 36, 7054, 11337, 311, 273, 5348, 8318, 27050, 348, 273, 5680, 35856, 302, 32489, 19, 13792, 348, 14724, 1415, 1696, 13510, 329, 15836, 9104, 11845, 329, 2796, 732, 311, 14792, 1214, 3117, 677, 8543, 5800, 19, 204, 25, 19, 14341, 41743, 8689, 8347, 11418, 11036, 2343, 21242, 1368, 416, 673, 8543, 2717, 302, 1273, 872, 3117, 7336, 497, 353, 16599, 1194, 1163, 388, 28930, 27050, 3343, 4596, 19423, 8836, 15859, 329, 7514, 14392, 311, 1273, 872, 5794, 17, 872, 1340, 6618, 4935, 1368, 416, 329, 5970, 2817, 292, 1214, 1864, 19, 204, 26, 19, 14341, 41743, 26505, 2178, 11554, 21696, 673, 14645, 3214, 1422, 529, 1283, 1214, 3117, 677, 2139, 329, 1214, 1435, 275, 2202, 9151, 1422, 353, 302, 26163, 19, 11240, 17, 1330, 872, 2379, 1273, 1214, 3117, 7336, 497, 329, 1415, 18300, 490, 17, 872, 2379, 273, 6273, 1182, 1465, 496, 3117, 19, 11982, 275, 318, 19, 42521, 19806, 292, 12984, 714, 292, 12250, 382, 16084, 275, 12984, 714, 292, 2745, 42142, 867, 7399, 2404, 382, 16084, 490, 867, 15859, 292, 16414, 342, 11151, 560, 273, 23910, 382, 16084, 17, 329, 17, 448, 30708, 17, 496, 490, 11076, 2964, 3891, 497, 12654, 43742, 11151, 1273, 275, 19806, 867, 19, 322, 673, 6121, 1784, 874, 10365, 292, 4036, 4440, 31, 397, 275, 19806, 2080, 1742, 292, 16414, 342, 11151, 5976, 17, 382, 1784, 874, 3556, 311, 15437, 496, 35856, 302, 44808, 329, 38863, 1873, 275, 47484, 19501, 204, 27, 19, 14341, 41743, 20881, 8800, 14341, 42249, 39778, 10811, 440, 3221, 14724, 17, 41862, 17, 329, 1838, 360, 640, 329, 22561, 18, 29828, 2893, 5721, 1288, 329, 19004, 830, 29261, 3671, 311, 2941, 17, 4636, 311, 2270, 1214, 3221, 11257, 5976, 302, 2545, 38978, 1048, 311, 273, 33818, 292, 3161, 3226, 17, 1259, 17, 521, 3477, 19, 4682, 275, 3117, 6315, 1924, 14645, 8650, 17, 1182, 302, 275, 5132, 872, 13133, 20733, 311, 636, 311, 275, 1880, 9104, 490, 19, 204, 1449, 1895, 275, 16933, 3221, 7591, 5800, 440, 1214, 3117, 9307, 17, 9605, 685, 25498, 1415, 2761, 1017, 7809, 273, 9843, 19881, 329, 6296, 4361, 16760, 292, 1017, 6160, 19, 204, 28, 19, 14341, 41743, 26505, 2178, 13702, 3159, 18238, 8836, 838, 3114, 8372, 302, 8836, 2755, 19, 24128, 375, 1415, 1523, 5698, 18, 15288, 16700, 8052, 322, 40, 4688, 88, 659, 11327, 630, 14724, 12, 18431, 17, 329, 1308, 3221, 19004, 874, 275, 7549, 329, 275, 2886, 348, 17863, 1182, 3003, 302, 6626, 329, 25214, 19, 26689, 25755, 94, 92, 1224, 17, 15438, 45936, 17, 329, 480, 5536, 5166, 1286, 5976, 302, 388, 3990, 20996, 3343, 204, 29, 19, 14341, 41743, 666, 18284, 41328, 299, 1273, 1214, 3117, 353, 497, 21443, 872, 311, 275, 1880, 1415, 980, 329, 3437, 490, 19, 13472, 302, 5701, 273, 2875, 3633, 582, 633, 273, 5348, 2234, 13242, 582, 16804, 2390, 5406, 7369, 311, 1182, 3117, 6651, 31, 44071, 630, 275, 14724, 12, 6223, 17, 275, 3221, 21819, 10555, 17, 1214, 10551, 1101, 3298, 17, 275, 401, 18, 760, 496, 29595, 3221, 12207, 17, 273, 3221, 48584, 5733, 496, 622, 26872, 13214, 19, 204, 42, 1070, 22561, 36, 1547, 21443, 872, 311, 273, 5658, 2688, 19, 0, 10020, 14171, 30030, 460, 6111, 6613, 16076, 6677, 16174, 7221, 5562, 12030, 23932, 3049, 4856, 1390, 408, 13444, 32107, 5562, 12030, 3988, 22217, 460, 36009, 26636, 1776, 408, 4762, 11329, 2844, 14858, 5335, 9081, 408, 43898, 5626, 1111, 7782, 8552, 19165, 725, 17394, 12030, 460, 25281, 568, 204, 11746, 36009, 8552, 19165, 28207, 14515, 831, 43781, 7997, 5196, 18118, 2677, 13440, 26636, 10126, 3004, 37709, 5562, 8181, 10412, 32107, 460, 26636, 1776, 29105, 5626, 1111, 20287, 460, 7997, 5196, 1227, 18583, 5196, 568, 204, 28388, 23806, 831, 1390, 13901, 2299, 408, 5921, 23073, 4348, 9784, 408, 2405, 3841, 3079, 24736, 408, 4615, 6744, 2853, 2853, 41591, 568, 204, 36626, 2999, 5196, 460, 2857, 27638, 14183, 226, 10952, 6677, 9756, 3684, 40340, 408, 21343, 30193, 29785, 408, 31272, 12625, 10020, 2174, 5873, 3139, 226, 11107, 408, 22501, 921, 12568, 30193, 725, 7267, 30193, 725, 11215, 30193, 3283, 3183, 36626, 32107, 5562, 12030, 23932, 3049, 4856, 460, 25281, 408, 7059, 7238, 2894, 921, 12568, 30193, 5562, 12030, 12030, 13901, 25746, 9594, 4640, 7764, 25746, 3362, 408, 17576, 1670, 11152, 41921, 3304, 5335, 5579, 17576, 460, 36009, 26636, 568, 204, 44312, 388, 226, 5335, 5579, 17576, 388, 226, 5002, 5562, 12030, 3784, 408, 18824, 20421, 12999, 5264, 23932, 4856, 1390, 1670, 2299, 32566, 460, 32107, 26636, 7388, 6589, 5159, 6613, 6969, 14183, 226, 3169, 19874, 8892, 40340, 408, 15289, 41824, 34083, 11553, 460, 22530, 44813, 568, 204, 3169, 19874, 8892, 40340, 13797, 30193, 887, 226, 2903, 5773, 226, 2544, 29785, 408, 854, 8662, 1390, 24165, 1638, 43190, 8088, 41921, 3304, 17576, 480, 312, 95, 226, 5335, 5579, 725, 1946, 2386, 2615, 13901, 17576, 13298, 226, 5335, 5579, 725, 2638, 2615, 13901, 5335, 5579, 17576, 39020, 3546, 408, 5958, 9025, 13440, 26636, 2857, 42775, 3380, 3032, 111, 9238, 408, 9827, 2894, 47729, 2386, 17576, 4005, 366, 441, 18603, 36009, 26636, 568, 204, 5890, 4044, 28901, 5335, 5579, 17576, 408, 1603, 36009, 26636, 460, 2006, 32620, 3784, 408, 9189, 17437, 3464, 7678, 27042, 39642, 568, 204, 26334, 32868, 2402, 16553, 2494, 2494, 408, 2498, 4805, 4846, 42810, 7764, 1251, 9006, 4856, 35356, 15355, 1822, 5522, 17096, 3784, 21224, 408, 2094, 6299, 31217, 568, 204, 3169, 19874, 8892, 40340, 2905, 226, 11107, 3878, 1565, 408, 49006, 5264, 7509, 4856, 17394, 12030, 1390, 17576, 1670, 1946, 2386, 5335, 5579, 17576, 1227, 1946, 2638, 2615, 13901, 5335, 5579, 17576, 568, 204, 6079, 22501, 921, 26456, 3362, 2853, 1984, 204, 7, 226, 8780, 26636, 2657, 17576, 5335, 5579, 408, 5282, 26636, 10368, 2657, 4134, 42874, 2891, 24165, 568, 7, 204, 3169, 19874, 8892, 40340, 460, 26170, 408, 11597, 13265, 6079, 387, 2020, 70, 226, 34320, 34320, 568, 831, 4684, 2999, 3788, 2564, 28399, 6079, 408, 26036, 17718, 40340, 17615, 4518, 1251, 568, 204, 11152, 18721, 18721, 854, 21517, 4684, 5485, 23050, 408, 921, 12723, 7544, 23352, 7228, 40897, 26456, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3362, 7512, 4239, 21097, 1946, 39389, 1984, 204, 34320, 34320, 5335, 11107, 6776, 12030, 13901, 408, 36094, 1764, 10990, 16670, 17928, 17678, 568, 1641, 226, 11107, 1398, 408, 5643, 22238, 10536, 4730, 408, 25460, 21342, 1524, 32107, 408, 1258, 226, 11107, 6776, 36781, 16904, 48192, 12030, 27946, 23150, 3169, 3178, 14183, 226, 5776, 9216, 11587, 21161, 17678, 568, 204, 5776, 9216, 11587, 21161, 4241, 39918, 2894, 16904, 48192, 12030, 26636, 408, 13210, 13457, 1811, 2989, 226, 3183, 7221, 16302, 460, 17624, 6613, 41717, 18251, 40340, 408, 1227, 17888, 5264, 23932, 4856, 1390, 36626, 2999, 5196, 460, 2857, 27638, 14183, 226, 10952, 6677, 9756, 3684, 40340, 408, 204, 32748, 27946, 1254, 17678, 14787, 11624, 6076, 408, 5659, 26636, 4197, 5173, 7780, 3774, 4409, 408, 4821, 2386, 20587, 31738, 408, 30496, 2386, 9893, 1670, 1822, 30061, 21826, 408, 854, 21517, 17746, 9406, 568, 204, 4015, 1527, 408, 5562, 3411, 5282, 7409, 4002, 40760, 11264, 5562, 12030, 460, 13850, 3362, 3013, 2494, 16314, 8356, 1811, 408, 5562, 12030, 6583, 3606, 13901, 45094, 3380, 29022, 8807, 15967, 408, 2299, 1926, 18370, 9107, 30911, 1871, 408, 11436, 2494, 34918, 32566, 11618, 568, 204, 27946, 2065, 26636, 30542, 388, 226, 2738, 5629, 2738, 13816, 388, 408, 26636, 30542, 11567, 408, 6371, 4268, 4747, 1227, 18816, 24553, 568, 204, 1565, 15130, 460, 34320, 34320, 408, 2675, 2382, 1970, 9398, 1111, 13688, 5932, 3362, 568, 6079, 921, 26456, 3362, 22501, 2853, 408, 48771, 3994, 26329, 942, 10019, 408, 3038, 6445, 7678, 8285, 2098, 2822, 10211, 12821, 460, 2098, 3031, 1116, 568, 204, 2300, 725, 26, 226, 11107, 14081, 1251, 1116, 408, 11292, 29699, 6371, 20247, 568, 204, 20247, 460, 32566, 41499, 408, 30099, 2773, 23632, 2065, 10135, 13375, 460, 17678, 568, 204, 3064, 1991, 254, 39116, 460, 17576, 4499, 32868, 408, 1524, 3064, 4265, 22129, 25746, 3362, 8088, 27930, 11152, 5335, 5579, 17576, 408, 34320, 34320, 3429, 12067, 2905, 226, 11107, 35018, 2564, 3774, 1822, 2006, 34918, 11796, 408, 32577, 10536, 21937, 568, 6079, 921, 26456, 3362, 2853, 1984, 204, 7, 23807, 1438, 26311, 2564, 2411, 25460, 408, 3038, 35151, 19446, 2402, 38470, 1527, 3994, 568, 7, 204, 6079, 5227, 5335, 5579, 17576, 46668, 39671, 17678, 408, 5216, 5522, 5216, 1390, 408, 5216, 47468, 5216, 17437, 408, 921, 6049, 32868, 13047, 3362, 2402, 5238, 248, 460, 35628, 8331, 408, 10272, 3183, 25746, 3362, 24022, 408, 1886, 13987, 8383, 17236, 13956, 8085, 10904, 8088, 2014, 8706, 21826, 408, 7527, 249, 7527, 249, 776, 238, 776, 238, 12816, 568, 204, 16626, 408, 22, 226, 6377, 14478, 18603, 6908, 235, 2382, 34467, 26006, 408, 3183, 3183, 2402, 4035, 6523, 4640, 9065, 8088, 21826, 408, 2949, 2729, 14269, 38203, 568, 2300, 226, 11107, 3878, 1565, 921, 8892, 22655, 7388, 5264, 7509, 4856, 1390, 9850, 8088, 11152, 5335, 5579, 17576, 1946, 408, 6079, 24554, 6807, 3028, 13309, 238, 3152, 408, 36626, 2999, 5196, 568, 204, 5643, 44290, 3183, 34083, 33183, 408, 32748, 1421, 109, 3203, 241, 460, 5335, 5579, 17576, 28388, 23806, 44813, 408, 47811, 10272, 5562, 12030, 26636, 460, 8915, 408, 8695, 30524, 13440, 460, 32908, 1401, 3455, 47403, 568, 204, 32908, 1401, 3455, 47403, 460, 5335, 5579, 17576, 408, 35703, 6076, 13901, 20767, 831, 8807, 568, 204, 8131, 30193, 1398, 408, 2218, 1227, 18824, 38940, 36620, 12030, 13901, 15306, 29426, 48192, 12030, 11254, 460, 34320, 34320, 5284, 1111, 1999, 568, 204, 26406, 10236, 32868, 408, 26562, 1946, 2638, 2615, 13901, 5335, 5579, 17576, 568, 204, 31200, 25473, 31200, 408, 25731, 4987, 5002, 20469, 1111, 568, 204, 11448, 408, 22143, 7617, 13797, 30193, 1670, 19166, 34467, 26006, 408, 10282, 45094, 30556, 3464, 2638, 12166, 408, 13507, 7386, 15877, 34320, 34320, 408, 11691, 3079, 2807, 5629, 21244, 460, 39096, 39096, 44813, 568, 204, 34320, 34320, 28241, 942, 3283, 3879, 21244, 408, 8695, 41329, 3028, 13265, 313, 4732, 18603, 14902, 40340, 40340, 408, 13987, 36781, 6079, 3601, 13901, 2299, 17678, 568, 204, 6079, 11597, 4264, 313, 4732, 226, 4795, 1390, 8612, 2174, 3131, 460, 3069, 253, 2455, 408, 8075, 21244, 2455, 854, 6079, 2570, 23274, 10019, 568, 204, 11746, 14902, 40340, 40340, 408, 34320, 34320, 9189, 41329, 14966, 6642, 10603, 1227, 41329, 15385, 2766, 11114, 18021, 568, 204, 1438, 3879, 3028, 13265, 480, 6495, 18603, 11114, 18021, 43753, 408, 854, 6079, 921, 12568, 30193, 7221, 22698, 23932, 3049, 4856, 8088, 24165, 3283, 5579, 7814, 17576, 1946, 408, 30497, 19642, 15097, 7573, 4264, 21517, 46086, 568, 204, 16626, 408, 17678, 1227, 5928, 2402, 42383, 831, 42080, 3419, 10092, 1398, 408, 16107, 460, 34320, 34320, 17013, 17165, 18207, 42135, 9107, 14650, 568, 204, 32107, 23932, 3049, 4856, 1390, 408, 6079, 3468, 17576, 3283, 5579, 7814, 408, 5851, 921, 36777, 5335, 5579, 17576, 1191, 5238, 248, 13956, 568, 204, 9678, 23932, 4856, 1390, 36698, 8088, 11152, 5335, 5579, 17576, 408, 5612, 1524, 39673, 4821, 6347, 3684, 6111, 10106, 27638, 6908, 233, 1227, 10952, 6677, 9756, 3684, 40340, 9238, 568, 204, 26, 226, 2903, 1398, 408, 34320, 34320, 21141, 1227, 48827, 30719, 27946, 5776, 9216, 11587, 21161, 1789, 3031, 15780, 2203, 117, 568, 204, 34575, 2853, 408, 32107, 48192, 12030, 408, 9555, 7296, 12326, 2382, 5562, 1776, 1689, 408, 27946, 7059, 2822, 2807, 2822, 12135, 610, 568, 7872, 19874, 7796, 3684, 388, 226, 7872, 17983, 388, 18603, 12812, 5340, 10260, 408, 40550, 3079, 24736, 1550, 40150, 568, 204, 2402, 9884, 14708, 12723, 1456, 2999, 5196, 408, 3283, 12999, 5264, 23932, 4856, 25281, 408, 12190, 12999, 9678, 23932, 4856, 25281, 408, 44160, 7238, 2894, 921, 11254, 3362, 47729, 2638, 2615, 13901, 5335, 5579, 17576, 465, 226, 1946, 2638, 2615, 13901, 3283, 5579, 17576, 465, 226, 1946, 2638, 17576, 4004, 5579, 19935, 48192, 12030, 26636, 568, 204, 5335, 5579, 17576, 2382, 5562, 4499, 1524, 5335, 5579, 17576, 49060, 460, 3028, 1926, 408, 34320, 34320, 2853, 408, 7872, 19874, 7796, 3684, 28010, 19880, 6079, 408, 13987, 42114, 12744, 1390, 13901, 23362, 1390, 2299, 14062, 408, 8824, 1002, 15615, 568, 204, 2253, 7872, 17983, 921, 12723, 7544, 23352, 7228, 40897, 460, 26456, 3362, 1886, 8075, 408, 34320, 34320, 854, 2218, 2675, 1189, 2356, 47001, 37491, 460, 25456, 408, 6371, 8270, 33484, 568, 204, 2218, 2778, 23316, 408, 2675, 3131, 2174, 34320, 34320, 921, 42360, 14708, 12723, 30000, 12148, 568, 204, 10282, 7712, 1111, 19880, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7413, 27946, 408, 23582, 854, 26836, 11798, 1990, 2849, 408, 2498, 5643, 43968, 11808, 460, 11436, 408, 34320, 34320, 921, 17888, 460, 5264, 23932, 4856, 1390, 408, 8552, 19165, 3362, 7617, 942, 5238, 248, 13956, 6817, 11952, 408, 10961, 40550, 7, 226, 46981, 388, 1111, 1550, 40150, 568, 204, 11448, 6079, 24257, 10476, 1390, 408, 921, 17394, 12030, 32577, 11152, 5335, 5579, 17576, 2677, 23009, 20394, 942, 6817, 11952, 5238, 248, 13956, 10412, 10747, 10984, 7756, 18583, 5196, 568, 204, 5238, 248, 13956, 2494, 1550, 408, 22363, 3419, 13150, 10088, 408, 2314, 226, 11107, 15416, 408, 8241, 5335, 5579, 17576, 460, 34320, 34320, 408, 17452, 32441, 568, 204, 2253, 5562, 12030, 36534, 3380, 29022, 8807, 15967, 460, 13901, 1390, 11618, 408, 1227, 32164, 26636, 1776, 1189, 2356, 17271, 41231, 460, 17437, 29235, 408, 1886, 19275, 2433, 13769, 13665, 242, 6039, 231, 568, 204, 19279, 42360, 14708, 12723, 1456, 408, 30416, 16076, 3380, 5282, 1776, 4565, 2684, 122, 3841, 1527, 4134, 204, 5851, 26752, 44432, 2449, 4134, 1572, 1251, 8325, 31861, 13251, 47281, 9157, 20345, 16309, 8466, 1604, 256, 6511, 1111, 30697, 10023, 1001, 204, 33532, 4136, 29084, 47525, 3064, 9594, 11563, 2112, 3812, 5843, 6677, 12175, 1002, 5873, 1111, 4134, 204, 26781, 39671, 1971, 15877, 24165, 9477, 3523, 1550, 9385, 408, 9467, 1689, 1773, 25175, 11751, 5673, 15444, 3675, 20661, 11436, 1341, 100, 4129, 568, 204, 0, 17707, 1872, 18920, 204, 204, 31676, 273, 14654, 292, 2817, 19, 828, 273, 2955, 353, 20835, 630, 1051, 1136, 17, 275, 14654, 1120, 1855, 11774, 329, 13541, 19, 334, 5657, 3459, 1465, 275, 14654, 677, 3466, 302, 3284, 17, 1335, 275, 3466, 302, 3284, 5398, 6315, 292, 273, 7619, 19, 204, 204, 1449, 3822, 275, 5816, 302, 5657, 329, 7619, 17, 572, 1519, 311, 38629, 275, 8348, 2955, 2450, 1025, 970, 4550, 31, 204, 204, 22, 19, 332, 4781, 496, 11669, 1924, 275, 3466, 302, 3284, 322, 7206, 14, 302, 275, 14654, 17, 928, 8095, 4281, 1872, 5816, 19, 204, 23, 19, 332, 4781, 10066, 311, 275, 27247, 17, 928, 8095, 5657, 19, 204, 204, 673, 4781, 1924, 275, 27247, 6401, 275, 4281, 1872, 5816, 17, 1335, 275, 904, 4781, 2666, 275, 1759, 311, 275, 27247, 6401, 275, 15942, 496, 8095, 5657, 19, 204, 204, 3070, 1763, 17, 2506, 273, 22251, 2070, 440, 273, 3284, 302, 435, 5279, 329, 273, 1277, 302, 931, 6166, 17, 440, 273, 1656, 322, 25, 5279, 14, 630, 848, 1136, 19, 334, 2955, 20835, 523, 275, 6745, 72, 7176, 1784, 444, 275, 1066, 302, 275, 3093, 31, 435, 76, 465, 681, 76, 465, 681, 76, 19, 204, 204, 3719, 275, 22251, 2070, 6401, 36449, 329, 7036, 311, 11774, 17, 275, 2955, 523, 275, 6745, 72, 7176, 1784, 2652, 19, 1765, 1014, 17, 397, 1051, 12890, 28635, 435, 5279, 17, 275, 12218, 2955, 523, 275, 6745, 72, 7176, 1784, 444, 435, 465, 435, 465, 435, 17, 329, 275, 25067, 2955, 322, 28256, 14, 1784, 444, 435, 19, 204, 204, 673, 7619, 2955, 618, 444, 3392, 448, 275, 5422, 2955, 13576, 275, 25067, 5353, 17, 928, 9329, 275, 12218, 2955, 19, 592, 275, 1322, 302, 437, 36449, 2955, 17, 275, 7619, 2955, 1784, 508, 444, 2962, 17, 448, 275, 2955, 353, 508, 12218, 19, 0, 461, 1900, 68, 5457, 68, 48181, 13, 5231, 68, 3485, 31, 421, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 6071, 275, 2510, 2355, 302, 886, 497, 368, 311, 275, 800, 3482, 2689, 19, 204, 204, 264, 457, 31, 204, 268, 3482, 68, 3485, 322, 339, 330, 334, 3482, 2689, 302, 275, 933, 302, 886, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 2510, 16685, 448, 3157, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 311, 1900, 2510, 16685, 204, 264, 2510, 68, 48181, 289, 551, 3539, 13, 1976, 68, 1190, 5604, 23, 5853, 348, 790, 68, 1190, 292, 933, 13, 22, 17, 3482, 68, 3485, 465, 368, 2395, 204, 264, 407, 2510, 68, 48181, 204, 204, 461, 456, 68, 5457, 68, 48181, 13, 5457, 68, 48181, 31, 458, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2510, 16685, 19, 204, 204, 264, 457, 31, 204, 268, 2510, 68, 48181, 322, 655, 64, 325, 1037, 332, 458, 302, 2510, 16685, 448, 3157, 19, 204, 264, 320, 204, 264, 314, 1974, 5157, 311, 16346, 2510, 16685, 440, 5685, 204, 264, 456, 611, 3759, 1541, 13, 5457, 68, 48181, 602, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 4143, 275, 542, 302, 683, 2910, 329, 275, 3482, 2689, 348, 848, 683, 1322, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 542, 302, 683, 2910, 329, 275, 3482, 2689, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 771, 68, 804, 68, 3871, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 305, 397, 771, 68, 804, 68, 3871, 2186, 500, 31, 204, 485, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 485, 3524, 204, 305, 2280, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 615, 264, 3482, 68, 12456, 289, 1306, 204, 264, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 3482, 68, 3485, 289, 421, 13, 768, 499, 2101, 275, 3482, 2689, 31, 4091, 204, 485, 397, 3482, 68, 3485, 2186, 500, 31, 204, 895, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 895, 3524, 204, 485, 3482, 68, 12456, 19, 1223, 13, 5231, 68, 3485, 14, 204, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 615, 264, 407, 771, 68, 804, 68, 3871, 17, 3482, 68, 12456, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4143, 275, 542, 302, 683, 2910, 329, 275, 3482, 2689, 348, 848, 683, 1322, 17, 716, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 12015, 275, 2510, 2355, 302, 886, 292, 275, 800, 933, 17, 716, 264, 329, 5538, 275, 2510, 16685, 19, 204, 264, 320, 204, 264, 771, 68, 804, 68, 3871, 17, 3482, 68, 12456, 289, 636, 68, 816, 68, 768, 374, 204, 264, 348, 296, 17, 3482, 68, 3485, 292, 3209, 13, 5231, 68, 12456, 17, 1012, 34, 22, 330, 204, 268, 456, 13, 75, 7, 2346, 11846, 463, 78, 18594, 204, 268, 2510, 68, 48181, 289, 1900, 68, 5457, 68, 48181, 13, 5231, 68, 3485, 14, 204, 268, 456, 68, 5457, 68, 48181, 13, 5457, 68, 48181, 14, 204, 268, 456, 374, 226, 314, 17970, 1007, 348, 4037, 12996, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 2935, 353, 273, 42784, 36, 204, 204, 38, 9770, 353, 273, 1007, 496, 26023, 273, 5825, 630, 1698, 1051, 917, 19, 1547, 677, 508, 1085, 302, 275, 5825, 17, 1101, 6216, 2842, 26023, 490, 19, 2416, 3126, 808, 3773, 17, 2506, 8374, 273, 1007, 497, 1169, 904, 917, 523, 275, 5825, 19, 1058, 1007, 1784, 4260, 4393, 275, 5825, 322, 403, 490, 677, 4166, 275, 917, 523, 275, 5825, 14, 521, 508, 11108, 490, 630, 830, 322, 403, 490, 677, 5084, 275, 917, 523, 275, 5825, 789, 204, 204, 658, 11449, 353, 275, 42784, 6581, 36, 204, 204, 673, 9770, 353, 2220, 2404, 490, 677, 275, 1698, 1007, 496, 618, 11108, 273, 5825, 630, 2842, 1051, 917, 19, 1058, 31870, 5814, 490, 11897, 292, 8605, 329, 17098, 19, 1765, 1014, 17, 292, 17098, 17, 12701, 529, 3667, 3392, 974, 275, 9770, 1007, 17, 448, 490, 4954, 1440, 1662, 273, 741, 3731, 630, 273, 4539, 917, 19, 204, 204, 658, 12819, 275, 42784, 6088, 204, 204, 1449, 1020, 275, 9770, 917, 17, 872, 618, 732, 275, 5442, 302, 273, 741, 19, 334, 5442, 10335, 1662, 273, 741, 3731, 630, 273, 2824, 917, 17, 329, 275, 9770, 1007, 353, 275, 2765, 2501, 311, 8603, 808, 2652, 19, 4596, 6432, 275, 5442, 302, 273, 741, 630, 273, 4539, 917, 17, 872, 618, 3822, 275, 9770, 1007, 19, 204, 204, 658, 3970, 16361, 14614, 37396, 698, 204, 204, 18, 332, 9770, 26023, 273, 5825, 630, 1698, 1051, 917, 19, 204, 18, 1547, 353, 508, 1085, 302, 275, 5825, 19, 204, 18, 334, 9770, 353, 2220, 348, 848, 917, 523, 275, 5825, 19, 204, 18, 1547, 677, 6456, 292, 8605, 329, 17098, 17, 6469, 348, 8397, 12701, 19, 204, 204, 658, 30333, 88, 204, 204, 1380, 2935, 353, 6581, 14614, 275, 42784, 27134, 36, 204, 204, 673, 9770, 353, 2220, 2404, 490, 26023, 273, 5825, 630, 2842, 1051, 917, 17, 4461, 490, 14636, 292, 8605, 329, 17098, 19, 204, 204, 1380, 2935, 16274, 388, 57, 20979, 630, 273, 6088, 7, 9664, 36, 204, 204, 3837, 3210, 273, 1007, 496, 26023, 273, 5825, 630, 273, 2824, 917, 17, 508, 21900, 490, 521, 27176, 490, 630, 1169, 904, 917, 19, 204, 204, 1380, 2026, 3899, 3665, 1752, 275, 42784, 6088, 36, 204, 204, 5009, 1020, 275, 9770, 917, 560, 974, 275, 5442, 302, 273, 741, 630, 273, 2824, 917, 17, 928, 7894, 8603, 275, 2652, 292, 275, 741, 630, 496, 917, 19, 204, 204, 1380, 2935, 16274, 42784, 9664, 292, 20869, 36, 204, 204, 38, 9770, 353, 273, 1007, 496, 26023, 273, 5825, 630, 1051, 917, 2900, 21900, 490, 17, 10974, 273, 6793, 4263, 292, 5384, 14299, 329, 3263, 292, 8605, 329, 17098, 19, 0, 22009, 6829, 5186, 42080, 4574, 25722, 23362, 226, 24136, 104, 39141, 19, 473, 226, 7420, 5485, 1984, 61, 37543, 204, 3169, 3632, 24136, 104, 6996, 13359, 46382, 226, 14252, 252, 3788, 226, 5110, 41774, 2152, 226, 24136, 104, 6996, 19, 473, 226, 7420, 5485, 1984, 38, 2314, 1909, 204, 41653, 2098, 6112, 226, 31802, 6281, 5727, 2324, 12623, 226, 20814, 22938, 2152, 226, 24136, 104, 29378, 19, 473, 226, 7420, 5485, 1984, 38, 1845, 7298, 204, 22, 725, 8780, 6642, 25722, 2638, 8706, 408, 4587, 3602, 27489, 408, 12646, 4532, 3541, 1432, 3796, 1189, 4035, 4532, 42504, 408, 6371, 942, 3622, 568, 204, 23, 725, 5801, 3774, 7720, 3622, 3419, 12646, 408, 1438, 3151, 28199, 10513, 8760, 5463, 1390, 7814, 3774, 36080, 568, 204, 24, 725, 17565, 15124, 14269, 46523, 408, 18974, 13380, 6371, 27489, 408, 26143, 19185, 2065, 26771, 17565, 460, 23072, 1886, 14269, 7763, 5637, 568, 204, 25, 725, 22477, 2321, 8746, 23823, 408, 3675, 1438, 3151, 28199, 5463, 13011, 3183, 226, 11026, 46934, 27489, 568, 204, 26, 725, 3500, 1505, 37440, 921, 17613, 2366, 12646, 600, 256, 408, 12646, 600, 256, 460, 21938, 5949, 1955, 6553, 3491, 6371, 37440, 568, 204, 27, 725, 3500, 1505, 2174, 408, 27727, 19193, 600, 256, 408, 1946, 2110, 28138, 568, 13150, 4532, 408, 4532, 4304, 1227, 40148, 4304, 7678, 4906, 47425, 1999, 3407, 568, 204, 28, 725, 23072, 6281, 4465, 12350, 408, 12924, 15916, 15706, 8437, 408, 8324, 235, 35136, 3602, 45242, 568, 204, 27292, 1984, 2675, 18649, 11308, 12646, 568, 38827, 12744, 12722, 8188, 568, 204, 0, 24013, 8010, 17220, 3593, 109, 24608, 3152, 46888, 14081, 25522, 38470, 4250, 13035, 8188, 11620, 408, 921, 2366, 3500, 24013, 8010, 17220, 3593, 109, 20076, 1345, 4239, 48898, 24608, 1946, 921, 13397, 23078, 408, 921, 24608, 39212, 9878, 408, 6444, 2034, 2615, 1345, 3064, 6553, 6791, 4499, 1579, 2791, 6444, 408, 27636, 17220, 3593, 109, 12054, 460, 8010, 5186, 1456, 32684, 460, 4232, 29105, 3013, 17220, 14525, 9784, 408, 10852, 24608, 1524, 12054, 16873, 21220, 3464, 13397, 33325, 32, 204, 25767, 5227, 24608, 5844, 17220, 3593, 109, 4224, 1899, 10020, 13250, 5844, 22640, 2321, 3362, 21210, 13397, 1377, 11152, 12502, 408, 14525, 3451, 126, 1227, 11413, 22822, 15699, 1111, 408, 25767, 15699, 47285, 14322, 4760, 5759, 29539, 1111, 568, 8957, 4788, 26260, 17220, 3593, 109, 1367, 2110, 24013, 8010, 15703, 9158, 1111, 408, 6445, 32483, 41713, 4692, 8957, 4788, 408, 2499, 24608, 27930, 17220, 3593, 109, 1262, 22640, 2321, 21331, 8188, 2321, 13358, 1811, 15113, 1970, 3152, 24013, 8010, 1111, 568, 204, 17220, 3593, 109, 48898, 14515, 4477, 12298, 6899, 226, 3601, 3601, 8684, 7282, 408, 25767, 4762, 34381, 5227, 17220, 3593, 109, 18609, 2110, 408, 2570, 4076, 1345, 27227, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1579, 4004, 14808, 568, 831, 4021, 3879, 460, 17220, 3593, 109, 4224, 16154, 3362, 48898, 24608, 8728, 1456, 45034, 9065, 408, 3362, 6760, 38357, 31217, 24608, 9057, 408, 31217, 9014, 2174, 3131, 460, 24013, 8010, 408, 40428, 12722, 5428, 2673, 104, 30046, 568, 204, 22, 725, 17220, 3593, 109, 24460, 3601, 4477, 12298, 2823, 18609, 2110, 408, 18259, 1946, 4224, 1899, 16154, 1191, 2823, 2235, 21855, 22640, 2321, 408, 40022, 3407, 6224, 1227, 30269, 5349, 12791, 2110, 23, 11259, 408, 47285, 9065, 19658, 2739, 22640, 2321, 3362, 13397, 4228, 17220, 3593, 109, 22640, 9057, 408, 18259, 568, 204, 23, 725, 17220, 3593, 109, 18259, 1946, 4239, 2369, 128, 27769, 12054, 21916, 1789, 408, 25767, 1262, 12674, 29281, 21085, 1227, 4747, 6377, 44302, 10947, 1227, 20741, 6076, 408, 13443, 921, 17220, 3593, 109, 460, 12054, 408, 4762, 2369, 128, 27769, 568, 204, 24, 725, 16154, 1191, 13956, 1899, 7191, 12577, 5351, 12791, 4228, 6245, 9673, 1579, 4250, 408, 33036, 17220, 3593, 109, 1946, 41615, 9830, 1390, 9830, 2455, 408, 24608, 1524, 17220, 3593, 109, 12054, 14187, 46787, 44994, 1398, 47285, 1670, 1634, 104, 5351, 408, 4762, 4224, 1899, 22640, 2321, 2860, 22640, 2321, 3362, 13397, 23078, 22, 12502, 39981, 568, 204, 25, 725, 47285, 9065, 13397, 5844, 17220, 3593, 109, 4224, 1899, 25450, 45057, 460, 26027, 16154, 3362, 408, 6553, 6791, 2110, 17048, 568, 17048, 17220, 3593, 109, 20076, 5227, 30269, 5349, 725, 1251, 47123, 44885, 18997, 725, 40986, 5759, 6107, 725, 4747, 18157, 13871, 725, 18005, 725, 6245, 8562, 9098, 725, 6377, 6224, 725, 1401, 15789, 30045, 5351, 725, 30045, 5351, 725, 8562, 5351, 725, 8766, 19749, 28736, 9098, 725, 4518, 5759, 11318, 15547, 4786, 237, 30045, 1227, 8562, 5351, 10947, 1227, 1579, 3407, 27817, 408, 3445, 1262, 568, 204, 26, 725, 17220, 3593, 109, 17048, 1909, 11259, 23136, 23702, 9830, 2455, 408, 13956, 1899, 3407, 27817, 13150, 23181, 40638, 17048, 24667, 11259, 408, 7769, 232, 6444, 3152, 16154, 568, 204, 0, 647, 8159, 19, 35159, 448, 406, 204, 531, 8159, 532, 800, 204, 531, 273, 15227, 19, 17632, 532, 8703, 17, 490, 74, 204, 204, 461, 838, 68, 768, 68, 1309, 13, 481, 31, 406, 19, 989, 5379, 17, 3806, 31, 458, 64, 325, 694, 393, 1135, 64, 325, 17, 1109, 744, 204, 264, 320, 204, 264, 666, 273, 955, 302, 537, 1019, 348, 275, 800, 3806, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 268, 3806, 322, 655, 64, 325, 1037, 783, 302, 537, 1987, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 64, 325, 17, 1109, 744, 6881, 302, 537, 1019, 19, 204, 264, 320, 204, 264, 314, 666, 273, 955, 302, 537, 1019, 560, 8374, 710, 4340, 640, 497, 275, 424, 726, 204, 264, 407, 463, 768, 68, 417, 31, 424, 19, 3320, 13, 274, 19, 702, 4340, 640, 1447, 348, 537, 68, 417, 292, 3806, 98, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 416, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 9273, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 9273, 2231, 204, 264, 27295, 289, 537, 68, 93, 2343, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 329, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 276, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 9636, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 9636, 2231, 204, 264, 27295, 289, 537, 68, 93, 1152, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 521, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 22633, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 14177, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 14177, 2231, 204, 264, 27295, 289, 537, 68, 93, 11030, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 11030, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 11642, 68, 6211, 13, 481, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 14144, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 14144, 2231, 204, 264, 27295, 289, 537, 68, 93, 564, 537, 68, 94, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 322, 768, 68, 93, 13, 768, 68, 1309, 14, 564, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 35672, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 10600, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 10600, 2231, 204, 264, 27295, 289, 537, 68, 93, 19, 35672, 13, 768, 68, 94, 14, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 5796, 1551, 537, 68, 93, 13, 768, 68, 1309, 602, 521, 537, 68, 94, 13, 768, 68, 1309, 602, 564, 27295, 13, 768, 68, 1309, 14, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 33446, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 11829, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 437, 537, 8703, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 615, 264, 314, 666, 437, 11829, 2231, 204, 264, 27295, 289, 12351, 768, 68, 93, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 537, 68, 93, 13, 768, 68, 1309, 14, 564, 322, 1551, 27295, 13, 768, 68, 1309, 602, 204, 204, 37, 19206, 13, 274, 19, 481, 1447, 204, 461, 683, 68, 704, 68, 6211, 13, 481, 31, 406, 19, 989, 5379, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 397, 18, 26440, 18, 24070, 2661, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 274, 19, 989, 5379, 330, 24674, 424, 726, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 264, 537, 68, 95, 289, 8703, 611, 768, 68, 95, 534, 204, 615, 264, 314, 666, 437, 397, 18, 26440, 18, 24070, 2231, 204, 264, 27295, 289, 490, 74, 13, 768, 68, 93, 17, 537, 68, 94, 17, 537, 68, 95, 14, 204, 615, 264, 314, 666, 537, 1019, 204, 264, 537, 68, 1309, 289, 838, 68, 768, 68, 1309, 13, 481, 17, 27295, 19, 4599, 14, 204, 615, 264, 314, 4416, 496, 275, 2231, 29808, 311, 275, 1812, 700, 204, 264, 2136, 27295, 13, 768, 68, 1309, 14, 564, 322, 768, 68, 1309, 736, 768, 68, 94, 839, 397, 537, 68, 1309, 736, 768, 68, 93, 839, 902, 537, 68, 1309, 736, 768, 68, 95, 2378, 204, 204, 461, 683, 68, 2004, 68, 1420, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 440, 68, 1420, 1216, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 264, 537, 68, 95, 289, 8703, 611, 768, 68, 95, 534, 204, 615, 264, 314, 666, 437, 397, 18, 26440, 18, 24070, 2231, 440, 919, 204, 264, 27295, 289, 490, 74, 13, 768, 68, 93, 17, 537, 68, 94, 17, 537, 68, 95, 789, 2004, 68, 1420, 611, 15377, 534, 204, 615, 264, 314, 4416, 496, 275, 2231, 869, 275, 1812, 919, 204, 264, 2136, 27295, 19, 2004, 68, 1420, 611, 15377, 534, 204, 204, 461, 683, 68, 4074, 68, 274, 3423, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 3678, 16984, 19, 204, 264, 320, 204, 264, 314, 666, 537, 12336, 204, 264, 537, 68, 93, 289, 8703, 611, 768, 68, 93, 534, 204, 264, 537, 68, 94, 289, 8703, 611, 768, 68, 94, 534, 204, 615, 264, 314, 666, 437, 9636, 2231, 204, 264, 27295, 22, 289, 537, 68, 93, 1152, 537, 68, 94, 204, 615, 264, 314, 666, 273, 6246, 18, 33843, 2231, 440, 275, 1729, 919, 204, 264, 27295, 23, 289, 322, 10489, 17632, 22, 789, 2004, 68, 1420, 13, 17632, 22, 19, 1420, 14, 204, 615, 264, 314, 4416, 496, 275, 7277, 874, 275, 1729, 3678, 204, 264, 2136, 3678, 13, 17632, 23, 14, 564, 3678, 13, 17632, 22, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 2004, 68, 1420, 374, 204, 264, 683, 68, 4074, 68, 274, 3423, 374, 204, 0, 676, 2541, 9268, 31, 204, 264, 320, 204, 264, 2646, 273, 24847, 440, 4163, 588, 17, 1848, 17, 1302, 17, 329, 2297, 19, 204, 204, 264, 1532, 31, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 588, 322, 325, 330, 334, 588, 302, 275, 24847, 19, 204, 268, 1848, 322, 325, 330, 334, 1848, 302, 275, 24847, 19, 204, 268, 1302, 322, 339, 330, 334, 1302, 302, 275, 24847, 19, 204, 268, 2297, 322, 996, 330, 334, 2297, 302, 275, 24847, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 1848, 31, 394, 17, 1302, 31, 421, 17, 2297, 31, 818, 330, 204, 268, 320, 204, 268, 1865, 273, 2541, 9268, 726, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 24847, 19, 204, 305, 1848, 322, 325, 330, 334, 1848, 302, 275, 24847, 19, 204, 305, 1302, 322, 339, 330, 334, 1302, 302, 275, 24847, 19, 204, 305, 2297, 322, 996, 330, 334, 2297, 302, 275, 24847, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2640, 289, 1848, 204, 268, 370, 19, 835, 289, 1302, 204, 268, 370, 19, 2895, 289, 2297, 204, 204, 264, 436, 636, 68, 4810, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 3695, 302, 275, 24847, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 417, 743, 204, 305, 456, 13, 75, 7, 6580, 31, 463, 327, 19, 2640, 743, 204, 305, 456, 13, 75, 7, 8654, 31, 463, 327, 19, 835, 743, 204, 305, 456, 13, 75, 7, 12998, 31, 9838, 327, 19, 2895, 4567, 23, 75, 743, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 676, 2541, 9268, 12909, 31, 204, 264, 320, 204, 264, 2646, 273, 24847, 1640, 440, 273, 3599, 302, 23377, 19, 204, 204, 264, 1532, 31, 204, 268, 23377, 322, 655, 64, 4872, 9268, 1037, 332, 458, 302, 2541, 9268, 2828, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 2541, 9268, 12909, 726, 19, 204, 268, 320, 204, 268, 370, 19, 823, 8918, 289, 1306, 204, 204, 264, 436, 881, 68, 40677, 13, 327, 17, 24847, 31, 2541, 9268, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 24847, 311, 275, 1640, 19, 204, 204, 268, 457, 31, 204, 305, 24847, 322, 4872, 9268, 330, 334, 24847, 311, 881, 19, 204, 268, 320, 204, 268, 370, 19, 823, 8918, 19, 1223, 13, 40677, 14, 204, 204, 264, 436, 636, 68, 2609, 68, 2895, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3989, 275, 1113, 2297, 302, 830, 23377, 292, 275, 1640, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1113, 2297, 302, 830, 23377, 19, 204, 268, 320, 204, 268, 407, 1066, 13, 40677, 19, 2895, 348, 24847, 292, 370, 19, 823, 8918, 14, 204, 204, 264, 436, 1688, 68, 823, 8918, 68, 1424, 68, 2895, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 14967, 275, 23377, 292, 275, 1640, 560, 2297, 19, 204, 268, 320, 204, 268, 370, 19, 823, 8918, 19, 2975, 13, 644, 34, 3605, 24847, 31, 24847, 19, 2895, 14, 204, 204, 264, 436, 1813, 68, 823, 8918, 13, 327, 17, 588, 31, 394, 289, 443, 17, 1848, 31, 394, 289, 443, 14, 393, 458, 64, 4872, 9268, 744, 204, 268, 320, 204, 268, 20139, 348, 23377, 560, 588, 521, 1848, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 17, 1448, 330, 334, 588, 302, 275, 24847, 311, 1813, 348, 19, 1243, 311, 443, 19, 204, 305, 1848, 322, 325, 17, 1448, 330, 334, 1848, 302, 275, 24847, 311, 1813, 348, 19, 1243, 311, 443, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 4872, 9268, 744, 332, 458, 302, 23377, 496, 2216, 275, 1813, 10939, 19, 204, 268, 320, 204, 268, 407, 551, 40677, 348, 24847, 292, 370, 19, 823, 8918, 397, 322, 417, 353, 443, 521, 24847, 19, 417, 564, 588, 14, 329, 322, 2640, 353, 443, 521, 24847, 19, 2640, 564, 1848, 2395, 204, 204, 264, 436, 456, 68, 823, 8918, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 3695, 302, 830, 23377, 292, 275, 1640, 19, 204, 268, 320, 204, 268, 348, 296, 17, 24847, 292, 3209, 13, 327, 19, 823, 8918, 17, 1012, 34, 22, 330, 204, 305, 456, 13, 75, 7, 4872, 9268, 463, 78, 18594, 204, 305, 24847, 19, 505, 68, 4810, 374, 204, 305, 456, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 24847, 1640, 204, 264, 1640, 289, 2541, 9268, 12909, 374, 204, 204, 264, 314, 666, 23377, 204, 264, 297, 656, 8203, 289, 2541, 9268, 499, 56, 656, 8203, 528, 388, 20298, 528, 1132, 17, 2019, 19, 21, 14, 204, 264, 14315, 289, 2541, 9268, 499, 41334, 528, 388, 47025, 528, 1233, 17, 4236, 19, 21, 14, 204, 264, 44535, 289, 2541, 9268, 499, 1046, 1940, 528, 388, 26938, 528, 887, 17, 2468, 19, 21, 14, 204, 264, 33230, 68, 40677, 289, 2541, 9268, 499, 57, 23993, 2541, 9268, 528, 388, 23112, 528, 1168, 17, 2019, 19, 21, 14, 204, 204, 264, 314, 1255, 23377, 311, 275, 1640, 204, 264, 1640, 19, 826, 68, 40677, 13, 88, 656, 8203, 14, 204, 264, 1640, 19, 826, 68, 40677, 13, 13040, 14, 204, 264, 1640, 19, 826, 68, 40677, 13, 495, 1940, 14, 204, 264, 1640, 19, 826, 68, 40677, 13, 1876, 83, 360, 68, 40677, 14, 204, 204, 264, 314, 1198, 275, 3695, 302, 830, 23377, 204, 264, 456, 499, 5797, 2541, 8918, 2212, 204, 264, 1640, 19, 2102, 68, 823, 8918, 374, 204, 204, 264, 314, 888, 275, 1113, 2297, 302, 830, 23377, 204, 264, 456, 13, 75, 7, 6425, 10864, 31, 9838, 4046, 19, 505, 68, 2609, 68, 2895, 22215, 23, 75, 743, 204, 204, 264, 314, 4641, 23377, 560, 2297, 204, 264, 1640, 19, 2975, 68, 823, 8918, 68, 1424, 68, 2895, 374, 204, 204, 264, 314, 1198, 275, 3695, 302, 830, 23377, 1877, 12111, 204, 264, 456, 499, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4872, 8918, 1877, 12111, 560, 2297, 2212, 204, 264, 1640, 19, 2102, 68, 823, 8918, 374, 204, 204, 264, 314, 6994, 348, 23377, 560, 588, 204, 264, 456, 499, 7749, 348, 23377, 560, 588, 379, 56, 656, 8203, 597, 431, 204, 264, 348, 24847, 292, 1640, 19, 1803, 68, 823, 8918, 13, 417, 1022, 56, 656, 8203, 6471, 204, 268, 24847, 19, 505, 68, 4810, 374, 204, 268, 456, 374, 204, 204, 264, 314, 6994, 348, 23377, 560, 1848, 204, 264, 456, 499, 7749, 348, 23377, 560, 1848, 379, 23112, 597, 431, 204, 264, 348, 24847, 292, 1640, 19, 1803, 68, 823, 8918, 13, 2640, 1022, 23112, 6471, 204, 268, 24847, 19, 505, 68, 4810, 374, 204, 268, 456, 374, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 456, 68, 21687, 68, 6391, 13, 6391, 31, 394, 17, 1040, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 1713, 1943, 7947, 273, 4153, 542, 302, 2666, 19, 204, 204, 264, 457, 31, 204, 268, 1943, 322, 325, 330, 334, 1943, 311, 456, 19, 204, 268, 1040, 322, 339, 330, 334, 542, 302, 2666, 311, 456, 275, 1943, 19, 204, 204, 264, 1632, 31, 204, 268, 3660, 31, 828, 1943, 353, 508, 273, 782, 521, 1040, 353, 508, 437, 1534, 19, 204, 268, 987, 31, 828, 1040, 353, 2202, 1194, 500, 521, 1943, 353, 508, 273, 2875, 1943, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1943, 353, 273, 782, 329, 1040, 353, 437, 1534, 204, 264, 397, 508, 2381, 13, 6391, 17, 394, 14, 521, 508, 2381, 13, 765, 17, 421, 330, 204, 268, 980, 3660, 499, 16850, 1631, 444, 273, 782, 329, 1040, 1631, 444, 437, 1534, 1280, 204, 615, 264, 314, 778, 397, 1040, 353, 1950, 18, 4721, 329, 1943, 353, 273, 2875, 1943, 204, 264, 397, 1040, 962, 500, 521, 1245, 13, 6391, 14, 2167, 368, 31, 204, 268, 980, 987, 499, 7366, 1631, 444, 273, 1950, 18, 4721, 1534, 329, 1943, 1631, 444, 273, 2875, 1943, 1280, 204, 204, 264, 314, 1198, 275, 1943, 7947, 379, 765, 12, 2666, 204, 264, 456, 13, 6391, 540, 1040, 14, 204, 204, 8, 1165, 1265, 31, 204, 2102, 68, 21687, 68, 6391, 8883, 528, 720, 14, 204, 0, 658, 30242, 22752, 348, 43603, 329, 25467, 10860, 204, 204, 673, 5442, 5035, 348, 21895, 329, 9662, 3263, 529, 448, 6353, 31, 204, 204, 22, 19, 930, 28106, 26932, 82, 1416, 303, 20, 4928, 10363, 13, 93, 14, 289, 368, 20, 93, 204, 23, 19, 930, 28106, 25467, 5867, 1416, 303, 20, 4928, 318, 67, 93, 289, 318, 67, 93, 204, 204, 3070, 21895, 329, 9662, 3263, 440, 273, 1034, 904, 1194, 318, 31, 204, 204, 22, 19, 930, 3044, 8169, 82, 440, 1034, 379, 70, 12, 1416, 303, 20, 4928, 711, 68, 70, 13, 93, 14, 289, 368, 802, 322, 93, 10363, 13, 70, 602, 204, 23, 19, 930, 37372, 5867, 440, 1034, 379, 70, 12, 1416, 303, 20, 4928, 273, 67, 93, 289, 273, 67, 93, 10363, 13, 70, 14, 204, 204, 7108, 31, 379, 70, 12, 353, 1169, 2140, 2318, 542, 19, 0, 673, 5514, 302, 610, 67, 24, 292, 275, 10291, 302, 322, 23, 16, 93, 3085, 24, 18, 1474, 2246, 25, 353, 2468, 19, 1752, 275, 1019, 302, 273, 19, 204, 204, 1449, 1020, 275, 5514, 302, 610, 67, 24, 17, 572, 732, 275, 12652, 7815, 19, 334, 10291, 302, 322, 24, 18, 1474, 2246, 25, 353, 31, 204, 204, 13, 24, 18, 1474, 2246, 25, 289, 322, 24, 2246, 25, 338, 681, 13, 24, 2246, 24, 13, 1474, 14, 465, 887, 13, 24, 2246, 23, 13, 1474, 2246, 23, 338, 681, 13, 24, 3085, 1474, 2246, 24, 465, 322, 1474, 2246, 25, 204, 204, 2310, 529, 12912, 292, 275, 3018, 440, 610, 67, 24, 19, 4168, 572, 4122, 808, 10291, 560, 322, 23, 16, 93, 659, 572, 636, 31, 204, 204, 13, 23, 16, 93, 3085, 24, 18, 1474, 2246, 25, 289, 435, 13, 24, 2246, 25, 338, 1132, 13, 24, 2246, 24, 13, 1474, 14, 465, 1598, 13, 24, 2246, 23, 13, 1474, 2246, 23, 338, 1132, 13, 24, 3085, 1474, 2246, 24, 465, 435, 13, 1474, 2246, 25, 465, 610, 13, 24, 2246, 25, 338, 681, 13, 24, 2246, 24, 13, 1474, 14, 93, 465, 887, 13, 24, 2246, 23, 13, 1474, 2246, 23, 93, 338, 681, 13, 24, 3085, 1474, 2246, 24, 93, 465, 322, 1474, 2246, 25, 93, 204, 204, 673, 3018, 440, 610, 67, 24, 7336, 497, 970, 6759, 31, 338, 29, 13, 24, 3085, 1474, 2246, 24, 329, 887, 13, 24, 2246, 23, 13, 1474, 2246, 23, 93, 19, 716, 204, 673, 5514, 302, 610, 67, 24, 353, 338, 2500, 70, 67, 24, 465, 10631, 70, 67, 23, 19, 204, 204, 2310, 31429, 808, 311, 2468, 329, 2616, 31, 204, 204, 18, 2500, 70, 67, 24, 465, 10631, 70, 67, 23, 289, 2468, 204, 24830, 3528, 70, 67, 24, 338, 10631, 70, 67, 23, 465, 2468, 289, 500, 204, 24830, 681, 70, 67, 24, 338, 1233, 70, 67, 23, 465, 720, 289, 500, 204, 24830, 322, 70, 338, 368, 3085, 25, 70, 67, 23, 338, 720, 70, 338, 720, 14, 289, 500, 204, 24830, 273, 289, 368, 17, 322, 26, 20, 29, 14, 36106, 3849, 19237, 20, 29, 204, 204, 4356, 17, 275, 1019, 302, 273, 529, 368, 17, 322, 26, 20, 29, 14, 465, 3849, 19237, 20, 29, 17, 329, 322, 26, 20, 29, 14, 338, 3849, 19237, 20, 29, 19, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 531, 8632, 532, 8204, 204, 531, 1498, 532, 1535, 204, 204, 37, 6611, 204, 676, 17134, 9339, 31, 204, 264, 320, 204, 264, 2646, 273, 17134, 4707, 440, 273, 2220, 896, 17, 700, 17, 1540, 700, 17, 329, 273, 5168, 311, 8956, 397, 275, 1540, 700, 869, 7716, 19, 204, 204, 264, 1532, 31, 204, 268, 25744, 68, 644, 322, 325, 330, 6581, 896, 348, 275, 17134, 4707, 19, 204, 268, 25744, 68, 876, 322, 325, 330, 956, 348, 275, 17134, 4707, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 268, 1540, 68, 876, 322, 325, 330, 1210, 700, 348, 275, 17134, 4707, 19, 204, 268, 1540, 68, 4753, 68, 11602, 322, 2107, 330, 18064, 311, 8956, 397, 275, 1540, 700, 869, 7716, 19, 204, 264, 320, 204, 204, 264, 25744, 68, 644, 31, 394, 204, 264, 25744, 68, 876, 31, 394, 204, 264, 1540, 68, 876, 31, 394, 204, 264, 1540, 68, 4753, 68, 11602, 31, 1109, 204, 204, 264, 436, 589, 2288, 68, 924, 889, 327, 330, 204, 268, 314, 3866, 275, 537, 1019, 204, 268, 397, 508, 2381, 13, 327, 19, 11016, 68, 644, 17, 394, 14, 521, 508, 370, 19, 11016, 68, 644, 31, 204, 305, 980, 987, 499, 14507, 896, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 11016, 68, 876, 17, 394, 330, 204, 305, 980, 987, 499, 14507, 700, 1631, 444, 273, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 2305, 68, 876, 17, 394, 330, 204, 305, 980, 987, 499, 13313, 700, 1631, 444, 273, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 2305, 68, 4753, 68, 11602, 17, 1109, 330, 204, 305, 980, 987, 499, 13313, 869, 7716, 1631, 444, 273, 8051, 431, 204, 204, 264, 436, 1395, 68, 11016, 68, 876, 13, 327, 17, 717, 68, 876, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 17134, 700, 329, 3416, 275, 1540, 869, 7716, 5168, 311, 959, 397, 275, 717, 700, 353, 1792, 497, 275, 1540, 700, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 876, 322, 325, 330, 334, 717, 17134, 700, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 700, 353, 1792, 497, 275, 1540, 700, 204, 268, 397, 717, 68, 876, 2167, 370, 19, 2305, 68, 876, 31, 204, 305, 370, 19, 2305, 68, 4753, 68, 11602, 289, 959, 204, 268, 370, 19, 11016, 68, 876, 289, 717, 68, 876, 204, 204, 264, 436, 7264, 68, 633, 68, 2305, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 24494, 275, 17134, 700, 311, 275, 1540, 700, 329, 3416, 275, 1540, 869, 7716, 5168, 311, 1078, 19, 204, 268, 320, 204, 268, 370, 19, 11016, 68, 876, 289, 370, 19, 2305, 68, 876, 204, 268, 370, 19, 2305, 68, 4753, 68, 11602, 289, 1078, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 17134, 9339, 1014, 204, 264, 25744, 68, 1608, 289, 17134, 9339, 13, 204, 268, 25744, 68, 644, 1022, 2569, 68, 644, 528, 204, 268, 25744, 68, 876, 1022, 2569, 68, 876, 528, 204, 268, 1540, 68, 876, 1022, 2305, 68, 876, 528, 204, 268, 1540, 68, 4753, 68, 11602, 34, 1975, 204, 264, 1179, 204, 204, 264, 314, 1198, 275, 1419, 17134, 9339, 1019, 204, 264, 456, 499, 6238, 17134, 9339, 1019, 2212, 204, 264, 456, 13, 75, 7, 14507, 3970, 31, 463, 11016, 68, 1608, 19, 11016, 68, 644, 743, 204, 264, 456, 13, 75, 7, 14507, 956, 31, 463, 11016, 68, 1608, 19, 11016, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 956, 31, 463, 11016, 68, 1608, 19, 2305, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 19191, 22364, 31, 463, 11016, 68, 1608, 19, 2305, 68, 4753, 68, 11602, 743, 204, 204, 264, 314, 1716, 275, 17134, 700, 204, 264, 25744, 68, 1608, 19, 2045, 68, 11016, 68, 876, 499, 1957, 68, 876, 431, 204, 204, 264, 314, 1198, 275, 2908, 17134, 9339, 1019, 204, 264, 456, 3273, 22323, 17134, 9339, 1019, 2212, 204, 264, 456, 13, 75, 7, 14507, 3970, 31, 463, 11016, 68, 1608, 19, 11016, 68, 644, 743, 204, 264, 456, 13, 75, 7, 14507, 956, 31, 463, 11016, 68, 1608, 19, 11016, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 956, 31, 463, 11016, 68, 1608, 19, 2305, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 19191, 22364, 31, 463, 11016, 68, 1608, 19, 2305, 68, 4753, 68, 11602, 743, 204, 204, 264, 314, 8715, 275, 17134, 700, 311, 275, 1540, 700, 204, 264, 25744, 68, 1608, 19, 7142, 68, 633, 68, 2305, 374, 204, 204, 264, 314, 1198, 275, 7264, 17134, 9339, 1019, 204, 264, 456, 3273, 83, 22134, 17134, 9339, 1019, 2212, 204, 264, 456, 13, 75, 7, 14507, 3970, 31, 463, 11016, 68, 1608, 19, 11016, 68, 644, 743, 204, 264, 456, 13, 75, 7, 14507, 956, 31, 463, 11016, 68, 1608, 19, 11016, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 956, 31, 463, 11016, 68, 1608, 19, 2305, 68, 876, 743, 204, 264, 456, 13, 75, 7, 13313, 19191, 22364, 31, 463, 11016, 68, 1608, 19, 2305, 68, 4753, 68, 11602, 743, 204, 0, 20397, 2616, 4628, 18, 5969, 13026, 440, 13687, 3261, 17, 48969, 14092, 415, 543, 329, 17279, 12211, 88, 19, 3433, 1848, 329, 2679, 45190, 36891, 292, 2323, 6249, 497, 368, 20, 27, 427, 311, 368, 20, 23, 19, 334, 1043, 435, 13618, 3261, 529, 8106, 43832, 440, 275, 1673, 2545, 273, 3508, 18, 6070, 8294, 19, 334, 10592, 1724, 329, 45190, 17028, 529, 16894, 1838, 496, 618, 444, 15738, 311, 2384, 18385, 19, 334, 48969, 14092, 40890, 1142, 3490, 2255, 273, 3620, 27152, 928, 2459, 10280, 719, 1025, 2323, 6249, 448, 8699, 292, 273, 5765, 8642, 19, 334, 2423, 4801, 11658, 2459, 311, 5875, 28410, 329, 33657, 388, 28644, 1382, 88, 7, 497, 1017, 3307, 329, 838, 4628, 28080, 311, 1173, 3153, 19, 3433, 9345, 560, 4141, 329, 34328, 4628, 4998, 3490, 19, 1058, 353, 275, 6723, 4801, 348, 275, 2344, 521, 970, 2518, 28700, 41298, 1273, 273, 12168, 4147, 6876, 348, 1855, 9819, 329, 3100, 19, 334, 4801, 16757, 9533, 16805, 7383, 3239, 329, 15853, 338, 15935, 502, 13483, 19, 26, 19, 23895, 19, 23, 19, 24, 19, 28700, 872, 348, 7595, 12565, 16033, 273, 10048, 28700, 41298, 6, 0, 10654, 3283, 2903, 408, 20443, 3224, 42824, 2564, 1227, 42457, 12993, 1388, 125, 19445, 1550, 48171, 3131, 6345, 990, 14708, 17624, 45275, 1001, 10332, 568, 5718, 408, 5626, 15396, 1296, 100, 20593, 7392, 2112, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 24655, 3590, 12399, 11787, 12673, 408, 9516, 2499, 8330, 21699, 10577, 12673, 5762, 1670, 4500, 2857, 2831, 568, 8330, 21699, 42824, 6331, 41194, 990, 14708, 17624, 45275, 1001, 10332, 921, 17092, 5295, 41363, 1116, 27585, 1390, 2433, 942, 9396, 2253, 2034, 17249, 5562, 11507, 120, 22313, 6224, 408, 5186, 32404, 3841, 4231, 8325, 3875, 4796, 3181, 107, 27932, 5629, 18981, 11551, 11198, 408, 18724, 18732, 3152, 36534, 14855, 408, 2823, 11698, 13006, 20890, 990, 3283, 2366, 6551, 1001, 43983, 3235, 568, 204, 990, 11748, 3883, 2366, 1001, 4987, 9092, 2112, 6390, 47728, 6390, 11748, 3883, 15480, 408, 5227, 8333, 17092, 5295, 41363, 1116, 27585, 3235, 725, 13353, 9228, 19525, 30641, 6390, 1227, 2337, 2366, 6390, 6364, 1955, 32059, 6390, 11748, 3883, 6949, 408, 3571, 42824, 19039, 1227, 6390, 11748, 3883, 8055, 14403, 1603, 8333, 17092, 5295, 41363, 1116, 27585, 46466, 3590, 22097, 2860, 1002, 2093, 19517, 11748, 3883, 568, 36534, 15480, 32375, 4231, 2065, 2112, 6390, 5556, 1189, 17092, 5295, 41363, 6977, 27585, 12120, 10366, 460, 990, 3283, 2366, 6551, 1001, 5840, 3606, 15480, 3203, 241, 6523, 77, 1003, 568, 21921, 408, 44812, 6331, 725, 5295, 5300, 3684, 2065, 2112, 6390, 11748, 3883, 6331, 6514, 14403, 1603, 1258, 2405, 2112, 6299, 32213, 3590, 25609, 11748, 3883, 568, 8695, 12253, 2112, 9827, 22477, 32213, 921, 4772, 1401, 4838, 3283, 13947, 7741, 1458, 29636, 5753, 231, 725, 13863, 4399, 118, 1955, 36171, 27585, 22048, 12816, 568, 10214, 37477, 408, 22322, 3571, 22672, 42824, 2564, 1227, 4296, 4772, 32014, 11364, 460, 17183, 11748, 3883, 1456, 663, 230, 3875, 11198, 408, 23244, 37614, 1111, 4296, 4772, 921, 4772, 1401, 4838, 3283, 13947, 11520, 460, 36171, 22048, 5661, 408, 8566, 27585, 10859, 725, 6232, 7880, 15378, 408, 1456, 1946, 16937, 8333, 3590, 2337, 2366, 13376, 2321, 10026, 12326, 42495, 408, 10922, 48152, 8333, 47186, 27312, 2337, 2366, 6390, 1227, 12330, 4068, 408, 2678, 4296, 4772, 7224, 1227, 38434, 1999, 22784, 8383, 20513, 4667, 4741, 568, 6245, 46587, 408, 1527, 6331, 2065, 2183, 4231, 5295, 5300, 3684, 16526, 1456, 2098, 2112, 6390, 5556, 11748, 3883, 6331, 725, 1191, 3369, 3684, 13387, 17092, 921, 4772, 5295, 41363, 6977, 27585, 25609, 11748, 4875, 3875, 408, 9092, 42523, 4384, 408, 1603, 25, 1377, 30558, 725, 1036, 2405, 7961, 28286, 16566, 25609, 11748, 3883, 568, 11748, 3883, 1191, 408, 48248, 1111, 3359, 4772, 17092, 5295, 41363, 6977, 27585, 3235, 5661, 34241, 408, 10717, 31544, 1111, 3359, 4772, 4296, 3606, 3235, 41820, 4001, 12545, 408, 30938, 1111, 24782, 12545, 2823, 8404, 3359, 4772, 6848, 13582, 1970, 6326, 23847, 9228, 41339, 568, 4525, 990, 11748, 3883, 1001, 2678, 2780, 1603, 3359, 4772, 9219, 5661, 1227, 9228, 990, 17092, 1001, 3235, 5661, 19316, 4769, 7533, 408, 1189, 42824, 44812, 6331, 16937, 9228, 36534, 3235, 20543, 8310, 5452, 27502, 9107, 10536, 27779, 30384, 1296, 100, 20593, 7392, 37347, 4002, 1254, 990, 9228, 25609, 11748, 3883, 226, 17092, 5295, 41363, 1116, 27585, 1001, 1189, 3365, 408, 16566, 2564, 17242, 11677, 18014, 568, 204, 8681, 16481, 990, 37614, 2366, 1001, 204, 990, 37614, 2366, 1001, 4987, 4126, 20439, 2065, 2112, 6390, 8055, 14403, 1458, 2791, 408, 1603, 3359, 8333, 17092, 5295, 41363, 1116, 27585, 3235, 5661, 5958, 42963, 921, 4772, 5295, 41363, 1116, 27585, 5661, 3590, 37614, 6633, 13445, 5452, 10265, 568, 10654, 12190, 2903, 408, 2780, 6606, 990, 11748, 3883, 1001, 1191, 17955, 12816, 408, 1603, 3359, 4772, 921, 990, 17092, 1001, 5949, 9228, 3235, 16535, 408, 921, 6390, 4769, 14843, 16566, 37614, 15713, 4345, 11928, 568, 37614, 6949, 942, 25737, 5949, 408, 23179, 3359, 4772, 22346, 5227, 36534, 3235, 19075, 1390, 3235, 2544, 2568, 408, 2112, 6299, 1036, 2405, 7961, 28286, 2402, 13421, 1111, 32014, 1189, 3875, 2564, 408, 1789, 2575, 6613, 4775, 6390, 9355, 32014, 1189, 9355, 3875, 2564, 408, 6613, 4775, 16432, 725, 8145, 16432, 1189, 19647, 460, 17092, 5295, 41363, 1116, 27585, 3235, 12552, 24637, 408, 1886, 2402, 16312, 1111, 990, 17092, 1001, 3235, 10700, 9061, 7604, 14970, 1524, 568, 24076, 3359, 4772, 2402, 5227, 20171, 2337, 2366, 6390, 6385, 990, 17092, 1001, 3235, 6122, 17367, 408, 1036, 2405, 8333, 23082, 37874, 1111, 2337, 2366, 6873, 568, 2112, 3977, 1191, 725, 15670, 1191, 725, 5335, 1191, 725, 32727, 1191, 1955, 29, 2405, 8333, 15799, 4796, 1111, 4011, 2337, 5759, 10444, 3922, 9355, 32014, 408, 42418, 1191, 725, 4515, 12190, 1191, 725, 35729, 1191, 725, 6245, 1191, 1955, 1258, 2405, 8333, 2402, 22699, 1111, 4011, 2337, 5759, 10444, 1390, 2337, 2366, 6873, 568, 31736, 10490, 39040, 990, 3283, 2894, 15493, 1001, 17092, 15480, 408, 1036, 2405, 8333, 2402, 6371, 17979, 12395, 725, 7118, 921, 990, 17092, 1001, 6564, 8418, 5253, 1398, 4276, 21980, 408, 23082, 11406, 1111, 2065, 17369, 725, 46713, 13470, 1227, 7652, 568, 2112, 30538, 32213, 9092, 4015, 5584, 17369, 7080, 10458, 2868, 24276, 17369, 15302, 1955, 12554, 2065, 17369, 11017, 17183, 725, 13376, 2337, 2366, 568, 5335, 854, 9358, 12191, 568, 24165, 854, 990, 3283, 2894, 15493, 990, 15480, 23832, 11369, 2114, 12765, 12037, 408, 40447, 854, 3359, 4772, 921, 2337, 2366, 13376, 12554, 1390, 2778, 26431, 12179, 1689, 9797, 568, 11463, 1377, 4987, 921, 4772, 1401, 27585, 1398, 942, 8383, 568, 24658, 22302, 16460, 7409, 1572, 13549, 45119, 37614, 1191, 2780, 2778, 28554, 28250, 11516, 568, 204, 43306, 16481, 990, 2492, 243, 6062, 2366, 1001, 204, 990, 2492, 243, 6062, 2366, 1001, 4987, 1603, 24358, 43768, 17559, 5295, 41363, 1116, 36171, 22048, 1227, 16691, 8383, 725, 31910, 8383, 36171, 22048, 460, 8333, 17694, 408, 1254, 4015, 42824, 11516, 4002, 34498, 3841, 6390, 32755, 2492, 243, 6062, 14281, 3283, 2366, 6551, 1001, 10700, 30768, 1689, 408, 48171, 6055, 921, 14556, 1565, 3841, 2112, 6390, 5556, 2492, 243, 6062, 11329, 408, 15687, 2492, 243, 6062, 854, 12253, 14768, 30443, 9817, 3419, 6021, 7416, 18981, 408, 41905, 30538, 32213, 16691, 8383, 4004, 3152, 17559, 921, 4772, 5295, 41363, 1116, 27585, 22048, 408, 4500, 2857, 4231, 1254, 4015, 42824, 11516, 4002, 12554, 3841, 2112, 6390, 8055, 11605, 20211, 4296, 4772, 10369, 12552, 3541, 46237, 2492, 243, 6062, 15184, 408, 3944, 2112, 6390, 5556, 9603, 2492, 243, 408, 1603, 4296, 4772, 24, 3028, 6511, 942, 9459, 460, 12552, 20211, 1111, 26692, 15679, 3541, 1789, 41593, 3988, 10734, 408, 3136, 1946, 4296, 4772, 4762, 5295, 46040, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4772, 1401, 27405, 27585, 22048, 568, 7115, 408, 1527, 6331, 3429, 1603, 2300, 47947, 921, 4772, 5295, 41363, 6977, 27585, 11703, 3590, 17379, 25461, 12326, 2711, 254, 22938, 460, 2367, 109, 19689, 408, 1603, 27585, 10859, 3590, 10709, 8566, 408, 7416, 1670, 27585, 460, 4772, 1740, 13679, 408, 10747, 4762, 3590, 13363, 408, 1603, 4206, 6299, 4772, 1740, 3235, 15416, 48725, 27585, 22048, 408, 2499, 19493, 2405, 8566, 13363, 460, 4772, 1740, 13679, 408, 921, 30443, 1398, 3841, 2112, 6390, 5556, 3590, 11329, 990, 2492, 243, 6062, 8464, 24488, 10875, 1904, 241, 11516, 1603, 8383, 17559, 22048, 1227, 23556, 8383, 27585, 460, 8333, 408, 1789, 2575, 6613, 4775, 9355, 32014, 4530, 46802, 31158, 12145, 15679, 3541, 1789, 45089, 8960, 1227, 568, 2426, 30030, 408, 2112, 3362, 3725, 12391, 2499, 8330, 21699, 10577, 5762, 15856, 7392, 5265, 47835, 408, 5490, 30727, 5115, 27241, 16382, 12673, 568, 4945, 6663, 408, 8330, 21699, 42824, 6331, 15699, 32404, 4667, 1189, 17092, 5295, 41363, 1116, 27585, 42824, 44812, 6331, 408, 4762, 5227, 990, 17092, 1001, 11087, 7217, 33457, 1524, 14151, 568, 4525, 3841, 2831, 6660, 2492, 243, 6062, 408, 48152, 3359, 14151, 1886, 5227, 7118, 17092, 5295, 41363, 1116, 27585, 40355, 41763, 9065, 408, 13751, 990, 3283, 2894, 15493, 1001, 17092, 15480, 30951, 26184, 2034, 725, 8681, 568, 204, 0, 676, 5180, 31, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 1470, 1259, 19, 204, 268, 320, 204, 268, 370, 19, 768, 289, 443, 204, 268, 370, 19, 2052, 289, 370, 19, 9462, 68, 2052, 374, 204, 268, 370, 19, 1976, 68, 3280, 289, 388, 61, 7, 204, 204, 264, 436, 5345, 68, 2052, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 977, 275, 1470, 2668, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 332, 435, 41, 458, 2457, 275, 1470, 2668, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1132, 93, 29, 2333, 440, 830, 1842, 758, 311, 443, 204, 268, 407, 5787, 3170, 15862, 29, 348, 906, 292, 933, 13, 29, 2395, 204, 204, 264, 436, 1682, 68, 1766, 13, 327, 17, 575, 68, 14897, 31, 927, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3325, 275, 1682, 2284, 292, 275, 1470, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 14897, 322, 2644, 330, 334, 2992, 302, 275, 575, 677, 4974, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 763, 275, 575, 677, 537, 329, 3893, 490, 204, 268, 370, 19, 505, 68, 816, 68, 768, 13, 816, 68, 14897, 14, 204, 822, 268, 314, 778, 397, 275, 2284, 353, 1097, 204, 268, 397, 370, 19, 360, 68, 1018, 68, 1766, 1293, 204, 305, 314, 25278, 275, 8305, 5575, 311, 275, 1470, 5035, 204, 305, 370, 19, 12297, 68, 19601, 374, 204, 305, 314, 1716, 275, 2061, 4442, 204, 305, 370, 19, 2045, 68, 3280, 68, 3115, 374, 204, 268, 902, 31, 204, 305, 456, 499, 1962, 2284, 431, 204, 204, 264, 436, 636, 68, 816, 68, 768, 13, 327, 17, 575, 68, 14897, 31, 927, 14, 393, 443, 31, 204, 268, 320, 204, 268, 763, 275, 575, 677, 537, 329, 3893, 490, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 14897, 322, 2644, 330, 334, 2992, 302, 275, 575, 677, 4974, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 16515, 275, 575, 677, 537, 1025, 610, 329, 469, 2992, 204, 305, 610, 17, 469, 289, 575, 68, 14897, 204, 3123, 305, 314, 778, 397, 275, 2992, 529, 1097, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 17, 469, 330, 204, 485, 314, 6993, 275, 575, 677, 537, 204, 485, 370, 19, 768, 289, 322, 93, 17, 469, 14, 204, 305, 902, 31, 204, 485, 456, 499, 1962, 7719, 431, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 431, 204, 204, 264, 436, 353, 68, 1018, 68, 3936, 13, 327, 17, 610, 31, 421, 17, 469, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 800, 2992, 529, 1097, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2992, 529, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2992, 529, 2614, 275, 2668, 10873, 204, 268, 407, 500, 2186, 610, 962, 1132, 329, 500, 2186, 469, 962, 1132, 204, 204, 264, 436, 353, 68, 1018, 68, 1766, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 790, 2284, 353, 1097, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2284, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2284, 353, 1097, 292, 830, 7505, 204, 268, 407, 370, 19, 804, 68, 18610, 374, 329, 370, 19, 505, 68, 12297, 68, 3337, 374, 204, 204, 264, 436, 683, 68, 18610, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 2284, 353, 1097, 292, 830, 7505, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2284, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 830, 10549, 7505, 322, 398, 17, 1873, 17, 1824, 17, 1629, 17, 329, 15700, 14, 204, 268, 7505, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 659, 322, 22, 17, 368, 659, 3457, 22, 17, 338, 22, 659, 322, 22, 17, 338, 22, 659, 3457, 22, 17, 368, 2395, 204, 268, 348, 4992, 17, 6748, 292, 7505, 31, 204, 305, 610, 17, 469, 289, 370, 19, 768, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 204, 485, 407, 959, 204, 268, 407, 1078, 204, 204, 264, 436, 636, 68, 12297, 68, 3337, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 763, 275, 1842, 311, 13298, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 1422, 529, 1842, 311, 13298, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 830, 10549, 7505, 322, 398, 17, 1873, 17, 1824, 17, 1629, 17, 329, 15700, 14, 204, 268, 7505, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 659, 322, 22, 17, 368, 659, 3457, 22, 17, 338, 22, 659, 322, 22, 17, 338, 22, 659, 3457, 22, 17, 368, 2395, 204, 268, 348, 4992, 17, 6748, 292, 7505, 31, 204, 305, 610, 17, 469, 289, 370, 19, 768, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 485, 1335, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 895, 610, 1412, 4992, 204, 895, 469, 1412, 6748, 204, 485, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 564, 370, 19, 1976, 68, 3280, 31, 204, 895, 407, 959, 204, 268, 407, 1078, 204, 204, 264, 436, 13298, 68, 19601, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 25278, 275, 8305, 5575, 311, 275, 1470, 5035, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 778, 830, 10549, 7505, 322, 398, 17, 1873, 17, 1824, 17, 1629, 17, 329, 15700, 14, 204, 268, 7505, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 659, 322, 22, 17, 368, 659, 3457, 22, 17, 338, 22, 659, 322, 22, 17, 338, 22, 659, 3457, 22, 17, 368, 2395, 204, 268, 348, 4992, 17, 6748, 292, 7505, 31, 204, 305, 610, 17, 469, 289, 370, 19, 768, 204, 305, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 485, 8305, 68, 633, 68, 12297, 289, 1306, 204, 485, 1335, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 2167, 370, 19, 1976, 68, 3280, 31, 204, 895, 8305, 68, 633, 68, 12297, 19, 1223, 1802, 93, 465, 4992, 17, 469, 465, 6748, 602, 204, 895, 610, 1412, 4992, 204, 895, 469, 1412, 6748, 204, 485, 397, 370, 19, 360, 68, 1018, 68, 3936, 13, 93, 465, 4992, 17, 469, 465, 6748, 14, 329, 370, 19, 2052, 64, 93, 465, 4992, 1799, 94, 465, 6748, 66, 564, 370, 19, 1976, 68, 3280, 31, 204, 895, 348, 6285, 292, 8305, 68, 633, 68, 12297, 31, 204, 2058, 370, 19, 2052, 64, 13246, 64, 21, 19307, 13246, 64, 22, 2629, 289, 370, 19, 1976, 68, 3280, 204, 204, 264, 436, 1395, 68, 3280, 68, 3115, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1716, 275, 2061, 4442, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 3398, 275, 542, 302, 8305, 348, 848, 2061, 204, 268, 2061, 22, 68, 765, 289, 1066, 13, 937, 19, 765, 499, 61, 431, 348, 1237, 292, 370, 19, 2052, 14, 204, 268, 2061, 23, 68, 765, 289, 1066, 13, 937, 19, 765, 499, 52, 431, 348, 1237, 292, 370, 19, 2052, 14, 204, 268, 456, 13, 75, 7, 8067, 368, 322, 61, 330, 463, 3280, 22, 68, 765, 1522, 8496, 435, 322, 52, 330, 463, 3280, 23, 68, 765, 743, 204, 204, 264, 436, 1370, 68, 1756, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8406, 275, 1470, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 1335, 959, 31, 204, 305, 314, 1198, 275, 790, 1259, 302, 275, 2668, 204, 305, 348, 1237, 292, 370, 19, 2052, 31, 204, 485, 456, 13, 937, 14, 204, 305, 314, 763, 275, 575, 677, 537, 204, 305, 575, 68, 14897, 289, 537, 499, 2101, 1214, 2284, 322, 93, 469, 330, 2810, 204, 305, 575, 68, 14897, 289, 927, 13, 1608, 13, 339, 17, 575, 68, 14897, 19, 1590, 5887, 204, 305, 314, 3325, 275, 575, 677, 2284, 204, 305, 370, 19, 2715, 68, 1766, 13, 816, 68, 14897, 14, 204, 305, 314, 18907, 6453, 204, 305, 370, 19, 1976, 68, 3280, 289, 388, 52, 7, 397, 370, 19, 1976, 68, 3280, 564, 388, 61, 7, 902, 388, 61, 7, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1470, 289, 5180, 374, 204, 264, 1470, 19, 1011, 68, 1756, 374, 204, 0, 647, 9987, 204, 531, 8632, 532, 8204, 204, 531, 1498, 532, 783, 204, 204, 37, 6611, 204, 676, 8953, 31, 204, 264, 320, 204, 264, 2646, 273, 2851, 440, 273, 2220, 7286, 19, 204, 615, 264, 1532, 31, 204, 264, 1276, 322, 339, 330, 6581, 4634, 348, 275, 2851, 19, 204, 264, 588, 322, 325, 330, 4014, 302, 275, 2851, 19, 204, 264, 7286, 322, 325, 330, 6581, 7286, 348, 275, 2851, 19, 204, 264, 320, 204, 264, 1276, 31, 421, 204, 264, 588, 31, 394, 204, 264, 7286, 31, 394, 204, 204, 676, 8953, 3313, 31, 204, 264, 320, 204, 264, 16318, 5981, 329, 1017, 2220, 44393, 19, 204, 615, 264, 1532, 31, 204, 264, 5981, 322, 1218, 64, 7627, 1037, 783, 302, 5981, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 268, 370, 19, 7983, 289, 1306, 204, 204, 264, 436, 838, 68, 3924, 13, 327, 17, 588, 31, 394, 14, 393, 8953, 31, 204, 268, 320, 204, 268, 2605, 273, 717, 2851, 440, 273, 2220, 7286, 19, 204, 822, 268, 457, 31, 204, 268, 588, 322, 325, 330, 4014, 302, 275, 2851, 19, 204, 822, 268, 475, 31, 204, 268, 8953, 31, 334, 9932, 1966, 2851, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 2220, 7286, 204, 268, 7286, 289, 370, 806, 4776, 68, 5271, 68, 8420, 374, 204, 822, 268, 314, 666, 273, 717, 2851, 204, 268, 2851, 289, 8953, 13, 204, 305, 1276, 34, 1796, 13, 327, 19, 7983, 14, 465, 368, 17, 204, 305, 588, 34, 417, 17, 204, 305, 7286, 34, 8420, 204, 268, 1179, 204, 822, 268, 314, 1255, 275, 2851, 311, 275, 458, 204, 268, 370, 19, 7983, 19, 1223, 13, 3924, 14, 204, 822, 268, 407, 2851, 204, 204, 264, 436, 906, 4776, 68, 5271, 68, 8420, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 273, 2220, 7286, 19, 204, 822, 268, 475, 31, 204, 268, 394, 31, 332, 2220, 7286, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 2220, 7286, 974, 9987, 204, 268, 7286, 289, 394, 13, 6383, 19, 6383, 25, 1447, 2022, 29, 66, 204, 822, 268, 314, 778, 397, 275, 7286, 353, 2861, 292, 732, 204, 268, 1335, 1169, 13, 3924, 19, 8420, 564, 7286, 348, 2851, 292, 370, 19, 7983, 330, 204, 305, 314, 828, 275, 7286, 353, 292, 732, 17, 1900, 273, 717, 1051, 204, 305, 7286, 289, 394, 13, 6383, 19, 6383, 25, 1447, 2022, 29, 66, 204, 822, 268, 407, 7286, 204, 204, 264, 436, 636, 68, 3924, 13, 327, 17, 7286, 31, 394, 14, 393, 8953, 1152, 443, 31, 204, 268, 320, 204, 268, 3596, 273, 2851, 560, 1163, 7286, 19, 204, 822, 268, 457, 31, 204, 268, 7286, 322, 325, 330, 15082, 811, 302, 275, 2851, 19, 204, 822, 268, 475, 31, 204, 268, 8953, 1152, 443, 31, 334, 2851, 397, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 1752, 275, 2851, 560, 1163, 7286, 204, 268, 348, 2851, 292, 370, 19, 7983, 31, 204, 305, 397, 2851, 19, 8420, 564, 7286, 31, 204, 485, 407, 2851, 204, 822, 268, 314, 828, 275, 2851, 353, 508, 1193, 17, 407, 443, 204, 268, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 2851, 4000, 204, 264, 4000, 289, 8953, 3313, 374, 204, 615, 264, 314, 666, 5981, 204, 264, 2851, 22, 289, 4000, 19, 1510, 68, 3924, 499, 43045, 431, 204, 264, 2851, 23, 289, 4000, 19, 1510, 68, 3924, 499, 16788, 525, 431, 204, 615, 264, 314, 1198, 275, 5981, 204, 264, 456, 13, 75, 7, 7627, 368, 31, 463, 3924, 22, 19, 417, 98, 8267, 3924, 22, 19, 8420, 16048, 204, 264, 456, 13, 75, 7, 7627, 435, 31, 463, 3924, 23, 19, 417, 98, 8267, 3924, 23, 19, 8420, 16048, 204, 615, 264, 314, 763, 273, 2851, 560, 1163, 7286, 204, 264, 2851, 289, 4000, 19, 505, 68, 3924, 13, 3924, 22, 19, 8420, 14, 204, 264, 397, 2851, 31, 204, 268, 456, 13, 75, 7, 7627, 1193, 31, 463, 3924, 19, 417, 98, 8267, 3924, 19, 8420, 16048, 204, 264, 902, 31, 204, 268, 456, 499, 7627, 508, 1193, 431, 204, 0, 658, 1687, 368, 31, 7173, 275, 3773, 302, 3406, 5537, 14888, 204, 673, 3406, 5537, 14888, 353, 273, 700, 496, 37856, 275, 1869, 8030, 908, 322, 15982, 14, 302, 4497, 19, 592, 808, 1322, 17, 572, 529, 9221, 311, 2885, 275, 700, 302, 273, 1400, 1554, 1504, 19, 204, 204, 658, 1687, 435, 31, 8554, 275, 3406, 5537, 3324, 14888, 302, 1504, 204, 673, 3406, 5537, 3324, 14888, 302, 1504, 353, 275, 1869, 302, 1504, 17, 13772, 560, 8858, 68, 61, 19, 1058, 353, 2404, 275, 1869, 8030, 908, 322, 15982, 14, 302, 974, 8858, 68, 61, 448, 275, 14888, 353, 275, 5527, 4751, 830, 3324, 35327, 19, 204, 204, 658, 1687, 571, 31, 888, 275, 1869, 8030, 908, 302, 275, 14888, 8858, 68, 61, 204, 673, 1869, 8030, 908, 322, 15982, 14, 302, 974, 8858, 68, 61, 448, 275, 14888, 353, 1936, 311, 275, 6951, 302, 1504, 17, 13772, 560, 12194, 68, 61, 67, 23, 19, 204, 204, 658, 1687, 681, 31, 888, 275, 1610, 1869, 8030, 908, 302, 275, 14888, 8858, 68, 61, 204, 673, 1610, 1869, 8030, 908, 322, 44241, 14, 302, 974, 8858, 68, 61, 448, 275, 14888, 353, 1936, 311, 275, 2599, 5432, 302, 1504, 17, 13772, 560, 12194, 68, 61, 19, 204, 204, 658, 1687, 720, 31, 3291, 275, 7345, 311, 275, 800, 1844, 204, 4377, 496, 471, 13, 61, 14, 289, 2247, 14532, 329, 16798, 13, 61, 14, 289, 571, 14532, 17, 572, 618, 2073, 275, 2631, 3888, 31, 204, 204, 18, 334, 3406, 5537, 3324, 14888, 302, 1504, 353, 8858, 68, 61, 289, 2247, 14532, 19, 204, 18, 334, 1869, 8030, 908, 302, 808, 14888, 353, 12194, 68, 61, 67, 23, 289, 571, 67, 23, 289, 1233, 14532, 67, 23, 19, 204, 18, 334, 1610, 1869, 8030, 908, 302, 808, 14888, 353, 12194, 68, 61, 289, 571, 14532, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 1845, 1617, 0, 1449, 1020, 275, 690, 490, 5178, 348, 275, 11634, 311, 5288, 1163, 1646, 1853, 17, 572, 1519, 311, 1020, 275, 6793, 1728, 302, 275, 741, 552, 13, 89, 789, 204, 204, 777, 8837, 273, 31, 4161, 6138, 777, 204, 204, 4377, 31, 552, 13, 89, 14, 289, 5737, 89, 338, 2247, 89, 67, 23, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 1519, 311, 1020, 275, 5442, 302, 552, 13, 89, 14, 440, 4130, 311, 265, 31, 204, 45, 5822, 89, 14, 289, 303, 13, 2562, 89, 338, 2247, 89, 67, 23, 4061, 5144, 204, 34, 5737, 338, 4236, 89, 204, 204, 4063, 17, 572, 758, 552, 5822, 89, 14, 289, 500, 311, 1020, 275, 6793, 1728, 31, 204, 2562, 338, 4236, 89, 289, 500, 204, 2562, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 289, 4236, 89, 204, 89, 289, 5737, 20, 2177, 204, 89, 289, 435, 204, 204, 2551, 17, 490, 1120, 3074, 435, 3331, 348, 275, 11634, 311, 5288, 1163, 1646, 1853, 523, 6138, 19, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 10339, 265, 289, 435, 1025, 275, 2171, 1581, 31, 204, 45, 13, 23, 14, 289, 5737, 13, 23, 14, 338, 2247, 13, 23, 2246, 23, 204, 34, 7569, 338, 5737, 204, 34, 5737, 204, 204, 777, 8837, 308, 31, 4161, 275, 18295, 777, 204, 204, 4377, 31, 552, 13, 89, 14, 289, 5737, 89, 338, 435, 19, 27, 89, 67, 23, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 1519, 311, 1020, 275, 5442, 302, 552, 13, 89, 14, 440, 4130, 311, 265, 31, 204, 45, 5822, 89, 14, 289, 303, 13, 2562, 89, 338, 435, 19, 27, 89, 67, 23, 4061, 5144, 204, 34, 5737, 338, 720, 19, 23, 89, 204, 204, 4063, 17, 572, 758, 552, 5822, 89, 14, 289, 500, 311, 1020, 275, 6793, 1728, 31, 204, 2562, 338, 720, 19, 23, 89, 289, 500, 204, 2562, 289, 720, 19, 23, 89, 204, 89, 289, 5737, 20, 26, 19, 23, 204, 89, 289, 1598, 19, 5639, 204, 204, 2551, 17, 490, 1120, 3074, 5387, 1598, 19, 5639, 3331, 348, 275, 11634, 311, 5288, 1163, 1646, 1853, 523, 275, 18295, 19, 204, 204, 1449, 1020, 275, 1646, 1853, 17, 572, 10339, 265, 289, 1598, 19, 5639, 1025, 275, 2171, 1581, 31, 204, 45, 13, 1258, 19, 5639, 14, 289, 5737, 13, 1258, 19, 5639, 14, 338, 435, 19, 27, 13, 1258, 19, 5639, 2246, 23, 204, 24296, 5737, 13, 1258, 19, 5639, 14, 338, 435, 19, 27, 13, 39883, 19, 6537, 14, 204, 24296, 1168, 3276, 19, 2500, 338, 571, 6655, 19, 4920, 204, 24296, 571, 4957, 19, 8667, 204, 204, 4356, 17, 275, 1646, 1853, 523, 275, 18295, 353, 5387, 571, 4957, 19, 8667, 5301, 19, 0, 658, 15229, 15195, 204, 204, 22, 19, 10107, 275, 5074, 11522, 292, 273, 4383, 17, 2753, 874, 273, 970, 18, 5365, 37515, 17, 2846, 874, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 17, 329, 5924, 874, 1855, 273, 970, 18, 5365, 37515, 329, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 19, 2026, 1910, 11522, 292, 275, 4383, 874, 12956, 273, 970, 18, 5365, 37515, 10524, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 36, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 732, 273, 970, 18, 9085, 37622, 11228, 19, 5486, 677, 12091, 31, 204, 18, 332, 31, 11522, 440, 1698, 273, 970, 18, 5365, 37515, 204, 18, 565, 31, 11522, 440, 1855, 273, 970, 18, 5365, 37515, 329, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 204, 18, 346, 31, 11522, 440, 1698, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 204, 18, 412, 31, 11522, 440, 12956, 273, 970, 18, 5365, 37515, 10524, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 204, 204, 4377, 31, 204, 18, 7867, 11522, 289, 5074, 204, 18, 552, 8607, 440, 273, 970, 18, 5365, 37515, 289, 2753, 322, 38, 465, 565, 289, 2753, 14, 204, 18, 552, 8607, 440, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 289, 2846, 322, 39, 465, 346, 289, 2846, 14, 204, 18, 552, 8607, 440, 1855, 289, 5924, 322, 39, 289, 5924, 14, 204, 204, 7374, 332, 465, 565, 289, 2753, 329, 565, 289, 5924, 17, 572, 1020, 332, 289, 2153, 19, 204, 7374, 565, 465, 346, 289, 2846, 329, 565, 289, 5924, 17, 572, 1020, 346, 289, 720, 19, 204, 204, 4592, 332, 465, 565, 465, 346, 465, 412, 289, 5074, 17, 572, 8776, 275, 3556, 1019, 31, 204, 1909, 465, 5924, 465, 720, 465, 412, 289, 5074, 204, 41, 289, 5074, 338, 9766, 204, 41, 289, 2019, 204, 204, 4356, 17, 2019, 11522, 874, 12956, 273, 970, 18, 5365, 37515, 10524, 437, 292, 18, 1947, 18, 3335, 23926, 5089, 19, 204, 204, 23, 19, 332, 4153, 3859, 869, 2327, 13838, 19615, 4372, 712, 36354, 6196, 31, 25353, 17, 1407, 25080, 17, 521, 23815, 365, 19, 10677, 1631, 18715, 292, 630, 3406, 1051, 17, 329, 1741, 18715, 292, 970, 521, 2219, 292, 830, 2327, 19, 3065, 529, 7219, 2459, 292, 275, 3859, 19, 3065, 529, 6787, 2459, 292, 25353, 17, 18006, 292, 275, 1407, 25080, 17, 329, 5487, 292, 275, 23815, 365, 19, 21405, 17, 8769, 2459, 529, 292, 1855, 275, 25353, 329, 1407, 25080, 17, 1199, 529, 292, 1855, 275, 25353, 329, 275, 23815, 365, 17, 329, 1132, 2459, 529, 292, 830, 2327, 4119, 19, 43247, 18, 18338, 2459, 529, 2842, 292, 275, 556, 25080, 17, 508, 292, 10080, 902, 19, 2026, 1910, 2459, 18715, 292, 1698, 275, 33361, 36, 204, 204, 3661, 677, 12091, 31, 204, 18, 392, 31, 2459, 292, 830, 2327, 4119, 204, 18, 1144, 31, 2459, 292, 1855, 25353, 329, 1407, 25080, 1101, 508, 23815, 365, 204, 18, 502, 31, 2459, 292, 1855, 25353, 329, 23815, 365, 1101, 508, 1407, 25080, 204, 18, 480, 31, 2459, 292, 1407, 25080, 1101, 508, 292, 25353, 521, 23815, 365, 204, 18, 415, 31, 2459, 292, 1855, 1407, 25080, 329, 23815, 365, 1101, 508, 25353, 204, 18, 1301, 31, 2459, 292, 23815, 365, 1101, 508, 292, 25353, 521, 1407, 25080, 204, 204, 4377, 31, 204, 18, 392, 289, 1132, 322, 8125, 292, 830, 2327, 4119, 14, 204, 18, 1144, 465, 392, 289, 8769, 322, 8125, 292, 1855, 25353, 329, 1407, 25080, 14, 204, 18, 502, 465, 392, 289, 1199, 322, 8125, 292, 1855, 25353, 329, 23815, 365, 14, 204, 18, 480, 289, 2019, 322, 8125, 2842, 292, 1407, 25080, 14, 204, 204, 7374, 1144, 465, 392, 289, 8769, 329, 392, 289, 1132, 17, 572, 1020, 1144, 289, 7500, 19, 204, 7374, 502, 465, 392, 289, 1199, 329, 392, 289, 1132, 17, 572, 1020, 502, 289, 1598, 19, 204, 204, 673, 1113, 542, 302, 2459, 292, 1407, 25080, 353, 800, 560, 1144, 465, 480, 465, 392, 465, 415, 289, 18006, 19, 204, 8758, 3556, 1019, 31, 7500, 465, 2019, 465, 1132, 465, 415, 289, 18006, 204, 53, 289, 18006, 338, 15338, 204, 53, 289, 2958, 204, 204, 673, 1113, 542, 302, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2459, 292, 23815, 365, 353, 800, 560, 502, 465, 392, 465, 415, 465, 1301, 289, 5487, 19, 204, 8758, 3556, 1019, 31, 1598, 465, 1132, 465, 2958, 465, 1301, 289, 5487, 204, 54, 289, 5487, 338, 7207, 204, 54, 289, 2905, 204, 204, 4356, 17, 2905, 2459, 18715, 292, 1698, 275, 33361, 19, 0, 658, 1687, 368, 31, 888, 275, 1113, 542, 302, 22487, 204, 673, 1113, 542, 302, 22487, 353, 275, 1066, 302, 830, 275, 47841, 7665, 292, 275, 472, 23, 7513, 31, 5074, 322, 89, 668, 17, 376, 26569, 14, 465, 5075, 322, 89, 668, 17, 5624, 14, 465, 10729, 322, 73, 9344, 75, 17, 376, 26569, 14, 465, 720, 322, 73, 9344, 75, 17, 5624, 14, 289, 15012, 13632, 19, 204, 204, 658, 1687, 435, 31, 4347, 275, 1812, 47841, 94, 9892, 12134, 204, 3070, 273, 506, 44883, 4393, 17, 275, 1812, 47841, 94, 9892, 3726, 353, 1233, 31, 24, 31, 24, 31, 22, 322, 30, 14977, 16, 33830, 1164, 571, 14977, 16, 10049, 1164, 571, 40840, 16, 33830, 1164, 368, 40840, 16, 10049, 789, 204, 204, 658, 1687, 571, 31, 888, 275, 1812, 542, 302, 848, 32869, 204, 11741, 14977, 16, 33830, 13632, 289, 322, 30, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 30, 20, 1845, 14, 540, 15012, 289, 4950, 13632, 19, 204, 11741, 14977, 16, 10049, 13632, 289, 322, 24, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 24, 20, 1845, 14, 540, 15012, 289, 2468, 13632, 19, 204, 11741, 40840, 16, 33830, 13632, 289, 322, 24, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 24, 20, 1845, 14, 540, 15012, 289, 2468, 13632, 19, 204, 11741, 40840, 16, 10049, 13632, 289, 322, 22, 802, 322, 30, 16, 24, 16, 24, 16, 22, 602, 540, 15012, 289, 322, 22, 20, 1845, 14, 540, 15012, 289, 931, 13632, 19, 204, 204, 658, 1687, 681, 31, 888, 275, 17310, 18, 6845, 700, 348, 275, 8159, 496, 275, 472, 23, 424, 348, 9194, 1277, 322, 89, 668, 31, 73, 9344, 75, 14, 353, 12389, 440, 18598, 9142, 677, 3938, 302, 40142, 204, 5834, 17, 572, 1519, 311, 949, 275, 1812, 542, 302, 14977, 329, 40840, 6415, 19, 204, 11741, 14977, 6415, 289, 1812, 14977, 16, 33830, 13632, 465, 1812, 14977, 16, 10049, 13632, 289, 4950, 465, 2468, 289, 7219, 19, 204, 11741, 40840, 6415, 289, 1812, 40840, 16, 33830, 13632, 465, 1812, 40840, 16, 10049, 13632, 289, 2468, 465, 931, 289, 2846, 19, 204, 13759, 14917, 14977, 6415, 289, 5074, 322, 89, 668, 17, 376, 26569, 14, 465, 5075, 322, 89, 668, 17, 5624, 14, 289, 26033, 19, 204, 13759, 14917, 40840, 6415, 289, 10729, 322, 73, 9344, 75, 17, 376, 26569, 14, 465, 720, 322, 73, 9344, 75, 17, 5624, 14, 289, 10405, 19, 204, 673, 17310, 18, 6845, 700, 618, 444, 3392, 974, 275, 2089, 31, 5775, 235, 3231, 289, 20517, 5796, 25915, 338, 1812, 14, 3231, 802, 1812, 789, 204, 145, 235, 3231, 289, 5796, 25799, 338, 7219, 14, 3231, 802, 7219, 14, 465, 5796, 4832, 338, 2846, 14, 3231, 802, 2846, 14, 289, 36387, 25, 14, 3231, 802, 7219, 14, 465, 322, 25, 3231, 802, 2846, 14, 289, 322, 1845, 802, 7219, 14, 465, 322, 1845, 802, 2846, 14, 289, 500, 19, 2353, 3268, 465, 500, 19, 25, 289, 500, 19, 26, 22414, 19, 204, 204, 658, 1687, 720, 31, 888, 275, 17310, 18, 6845, 700, 348, 275, 8159, 496, 275, 472, 23, 424, 348, 9194, 1277, 322, 89, 668, 31, 73, 9344, 75, 14, 329, 13204, 1848, 322, 33830, 31, 10049, 14, 353, 12389, 440, 18598, 9142, 677, 3938, 302, 6403, 1596, 372, 430, 204, 2310, 2861, 3392, 275, 1812, 542, 302, 848, 32869, 292, 1660, 571, 19, 204, 13759, 14917, 14977, 16, 33830, 13632, 289, 5074, 17, 8696, 14977, 16, 10049, 13632, 289, 5075, 17, 8696, 40840, 16, 33830, 13632, 289, 10729, 17, 8696, 40840, 16, 10049, 13632, 289, 720, 19, 204, 673, 17310, 18, 6845, 700, 618, 444, 3392, 974, 275, 2089, 31, 5775, 235, 3231, 289, 20517, 5796, 25915, 338, 1812, 14, 3231, 802, 1812, 789, 204, 145, 235, 3231, 289, 5796, 2934, 338, 4950, 14, 3231, 802, 4950, 14, 465, 5796, 3701, 338, 2468, 14, 3231, 802, 2468, 14, 465, 5796, 6221, 338, 2468, 14, 3231, 802, 2468, 14, 465, 5796, 26, 338, 931, 14, 3231, 802, 931, 14, 289, 36387, 1003, 14, 3231, 802, 4950, 14, 465, 322, 27, 3231, 802, 2468, 14, 465, 322, 30, 3231, 802, 2468, 14, 465, 36387, 26, 14, 3231, 802, 931, 14, 289, 322, 2051, 802, 4950, 14, 465, 322, 3701, 802, 2468, 14, 465, 322, 7900, 802, 2468, 14, 465, 322, 1511, 802, 931, 14, 289, 368, 19, 12038, 465, 368, 19, 23, 465, 435, 19, 28, 465, 435, 19, 26, 289, 1168, 19, 26, 14362, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 21, 19, 26, 22414, 1617, 0, 658, 887, 427, 18, 29, 427, 17757, 9877, 31, 15853, 440, 15935, 204, 204, 1834, 9280, 11208, 275, 2631, 7993, 31, 204, 204, 22, 19, 930, 20542, 329, 31889, 13923, 15935, 329, 31593, 8587, 1416, 2026, 311, 881, 329, 5400, 6249, 329, 9493, 886, 440, 3557, 18604, 19, 204, 23, 19, 930, 20542, 329, 31889, 26253, 15935, 329, 31593, 8587, 1416, 2026, 311, 881, 329, 5400, 6249, 329, 9493, 886, 440, 1792, 18604, 19, 204, 24, 19, 930, 22167, 15935, 329, 31593, 8587, 1416, 2026, 311, 4122, 6249, 329, 9493, 886, 19, 204, 25, 19, 930, 20367, 15935, 329, 31593, 8587, 1416, 2026, 311, 3281, 6249, 329, 9493, 886, 19, 204, 26, 19, 930, 11471, 12503, 15935, 1416, 2026, 311, 1225, 440, 3700, 6249, 19, 204, 27, 19, 930, 22557, 440, 10861, 28691, 1416, 2026, 311, 881, 17, 5400, 17, 4122, 17, 329, 3281, 440, 15467, 19, 204, 28, 19, 930, 39245, 440, 17279, 329, 31593, 3239, 19898, 1416, 15229, 4636, 440, 6249, 329, 9493, 886, 19, 204, 29, 19, 930, 12932, 7790, 14309, 974, 15935, 1416, 2026, 311, 732, 19932, 1330, 4636, 440, 6249, 329, 9493, 886, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 30, 19, 930, 12932, 449, 1070, 23029, 2343, 3386, 363, 3030, 302, 15935, 2343, 31593, 8587, 1416, 2026, 311, 7361, 275, 1988, 311, 2821, 3490, 440, 6249, 329, 9493, 886, 19, 204, 1003, 19, 930, 11471, 14309, 974, 15935, 329, 31593, 8587, 1416, 11274, 302, 1662, 311, 2616, 3490, 440, 6249, 329, 9493, 886, 19, 204, 1641, 19, 930, 50, 4691, 440, 17279, 281, 23782, 2083, 1416, 2026, 311, 2616, 2304, 3490, 440, 10624, 292, 6249, 19, 204, 204, 673, 9280, 6019, 273, 2468, 18, 6008, 6296, 683, 311, 7968, 6121, 329, 5384, 302, 275, 7993, 9811, 19, 0, 647, 14573, 204, 531, 1498, 532, 1535, 204, 204, 461, 7087, 68, 8946, 68, 2602, 13, 2463, 31, 394, 17, 2054, 31, 421, 14, 393, 1535, 64, 37987, 19, 24052, 744, 204, 264, 320, 204, 264, 22548, 273, 1727, 311, 273, 7450, 1014, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2442, 322, 325, 330, 334, 2442, 3877, 521, 588, 302, 275, 7450, 1981, 19, 204, 264, 338, 2054, 322, 339, 330, 334, 2054, 542, 311, 732, 348, 275, 1727, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 13615, 1014, 397, 275, 1727, 353, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 13615, 1014, 440, 275, 800, 2442, 329, 2054, 204, 268, 1545, 289, 14573, 19, 24052, 13, 2463, 34, 2463, 17, 2054, 34, 898, 14, 204, 268, 314, 1295, 275, 1727, 560, 4436, 275, 379, 360, 8319, 12, 1354, 204, 268, 1545, 19, 4159, 19, 2196, 611, 360, 8319, 534, 204, 268, 407, 1545, 204, 264, 827, 14573, 19, 6240, 19, 5064, 25925, 448, 318, 31, 204, 268, 314, 1426, 1727, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 2601, 311, 7450, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 2694, 68, 8946, 68, 2819, 13, 1723, 31, 14573, 19, 24052, 17, 1104, 68, 417, 31, 394, 14, 393, 1535, 64, 37987, 19, 2819, 19, 7073, 744, 204, 264, 320, 204, 264, 27148, 273, 1104, 497, 275, 4851, 7450, 1014, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1545, 322, 37987, 19, 24052, 330, 334, 4851, 13615, 1014, 19, 204, 264, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 5496, 1014, 397, 275, 7101, 353, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 5988, 275, 1104, 974, 275, 800, 1104, 588, 204, 268, 407, 1545, 64, 2819, 68, 417, 66, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1104, 7101, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 2694, 1104, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 2694, 68, 8946, 68, 5763, 13, 2819, 31, 14573, 19, 2819, 19, 7073, 17, 3599, 68, 417, 31, 394, 14, 393, 1535, 64, 37987, 19, 5763, 19, 13676, 744, 204, 264, 320, 204, 264, 27148, 273, 3599, 497, 275, 4285, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1104, 322, 37987, 19, 2819, 19, 7073, 330, 334, 4285, 5496, 1014, 19, 204, 264, 338, 3599, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3599, 311, 2694, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 19417, 1014, 397, 275, 7101, 353, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 5988, 275, 3599, 974, 275, 800, 3599, 588, 204, 268, 407, 1104, 64, 5763, 68, 417, 66, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 3599, 7101, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 2694, 3599, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 3142, 68, 668, 68, 12295, 68, 531, 68, 5763, 13, 5763, 31, 14573, 19, 5763, 19, 13676, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 8847, 830, 6973, 497, 275, 4285, 3599, 19, 204, 204, 264, 457, 31, 204, 264, 338, 3599, 322, 37987, 19, 5763, 19, 13676, 330, 334, 4285, 19417, 1014, 19, 204, 204, 264, 475, 31, 204, 264, 338, 959, 397, 275, 2661, 353, 2707, 17, 2130, 1078, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3182, 830, 6973, 497, 275, 3599, 974, 275, 4032, 68, 13054, 1216, 204, 268, 3599, 19, 2756, 68, 13054, 34136, 204, 268, 407, 959, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 3243, 12844, 8228, 329, 456, 275, 908, 943, 204, 268, 456, 13, 75, 7, 3504, 311, 3142, 6973, 31, 463, 74, 743, 204, 268, 407, 1078, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 7450, 1727, 2072, 204, 264, 2442, 289, 379, 29938, 19, 1845, 19, 21, 19, 2825, 12, 204, 264, 2054, 289, 1233, 4966, 29, 204, 264, 1104, 68, 417, 289, 379, 10517, 493, 12, 204, 264, 3599, 68, 417, 289, 379, 10071, 12, 204, 204, 264, 314, 9050, 273, 1727, 311, 275, 7450, 1014, 204, 264, 1545, 289, 7087, 68, 8946, 68, 2602, 13, 2463, 17, 2054, 14, 204, 264, 397, 1545, 31, 204, 268, 314, 5988, 275, 1104, 329, 3599, 204, 268, 1104, 289, 2694, 68, 8946, 68, 2819, 13, 1723, 17, 1104, 68, 417, 14, 204, 268, 397, 1104, 31, 204, 305, 3599, 289, 2694, 68, 8946, 68, 5763, 13, 2819, 17, 3599, 68, 417, 14, 204, 305, 397, 3599, 31, 204, 485, 314, 3182, 830, 6973, 497, 275, 3599, 204, 485, 397, 3142, 68, 668, 68, 12295, 68, 531, 68, 5763, 13, 5763, 330, 204, 895, 456, 499, 5797, 6973, 5748, 4073, 431, 204, 485, 902, 31, 204, 895, 456, 499, 3504, 311, 3142, 6973, 431, 204, 305, 902, 31, 204, 485, 456, 499, 3504, 311, 2694, 3599, 431, 204, 268, 902, 31, 204, 305, 456, 499, 3504, 311, 2694, 1104, 431, 204, 268, 314, 5706, 275, 7450, 1545, 204, 268, 1545, 19, 3529, 374, 204, 264, 902, 31, 204, 268, 456, 499, 3504, 311, 2601, 311, 7450, 431, 204, 204, 403, 589, 417, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 21574, 6713, 35009, 226, 47520, 9760, 408, 42829, 9760, 408, 23496, 9760, 408, 5784, 2436, 24460, 6522, 725, 24937, 19600, 24460, 6522, 725, 9620, 4758, 2815, 24460, 6522, 408, 6281, 4924, 16670, 22342, 408, 22965, 33924, 16670, 22342, 408, 9195, 22342, 2114, 408, 26326, 408, 7403, 2321, 4562, 408, 37854, 408, 14337, 29193, 4562, 408, 9057, 4402, 4562, 408, 4402, 21161, 2148, 408, 12054, 41458, 4562, 408, 32534, 41458, 4562, 408, 35130, 41458, 408, 24066, 8208, 12744, 3058, 11032, 21424, 725, 12709, 26326, 725, 9734, 27921, 725, 34376, 27921, 408, 4250, 25656, 11338, 725, 4250, 40073, 30462, 725, 3883, 4250, 30462, 408, 29908, 23056, 408, 42304, 2148, 408, 9195, 15898, 25383, 408, 34634, 16412, 725, 9195, 45439, 408, 38469, 16412, 408, 6226, 9107, 21630, 4562, 725, 19193, 2739, 2738, 8350, 725, 48352, 30462, 725, 7169, 2134, 2968, 2642, 725, 8275, 13573, 7217, 3429, 6522, 1955, 568, 204, 29908, 2338, 32332, 20633, 2006, 226, 13749, 4499, 11679, 11338, 408, 42304, 42895, 408, 4224, 4250, 14669, 408, 21793, 2359, 408, 22603, 408, 10000, 5057, 408, 15865, 2148, 408, 37685, 23056, 408, 13865, 9352, 4384, 408, 4250, 30699, 408, 14650, 4402, 4562, 408, 6969, 24460, 16161, 725, 3429, 6969, 16161, 3058, 32332, 20633, 2006, 47520, 725, 42829, 725, 23496, 1227, 27472, 4499, 1955, 568, 204, 20064, 2338, 7447, 2654, 226, 7333, 2321, 4562, 408, 1432, 11494, 2654, 23056, 408, 47520, 3476, 2034, 725, 5548, 16791, 17399, 2564, 408, 8255, 13630, 6658, 1955, 568, 204, 18244, 18840, 226, 2575, 10020, 2148, 725, 13099, 3841, 47520, 725, 3716, 3841, 47520, 725, 4758, 43918, 3491, 8360, 17902, 725, 23047, 8208, 9760, 725, 1725, 260, 12078, 2114, 408, 2321, 6730, 2114, 1955, 568, 204, 3079, 1843, 42563, 226, 2949, 4741, 26326, 725, 7403, 2321, 4562, 725, 9438, 14650, 16161, 725, 7897, 1971, 30462, 725, 9195, 11338, 2114, 725, 8612, 2034, 1674, 9760, 1955, 568, 204, 10822, 6770, 7782, 4136, 6233, 6770, 2677, 5709, 17172, 8612, 5038, 6770, 2677, 47, 40, 725, 20463, 725, 40, 47, 10412, 9189, 25612, 332, 9155, 412, 1143, 565, 56, 408, 47, 39, 1955, 7221, 34196, 6770, 408, 12994, 42359, 6631, 7624, 16312, 23006, 12644, 4438, 6770, 16412, 7371, 568, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 1400, 204, 204, 461, 1900, 68, 2017, 68, 481, 68, 2160, 13, 920, 68, 2160, 31, 421, 17, 1006, 68, 876, 31, 421, 17, 846, 68, 876, 31, 421, 14, 393, 458, 64, 2644, 64, 339, 17, 421, 2440, 204, 264, 320, 204, 264, 2069, 273, 458, 302, 424, 1728, 440, 1400, 469, 18, 1309, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 2160, 322, 339, 330, 334, 542, 302, 424, 1728, 311, 1900, 19, 204, 268, 1006, 68, 876, 322, 339, 330, 334, 2311, 469, 18, 876, 19, 204, 268, 846, 68, 876, 322, 339, 330, 334, 1646, 469, 18, 876, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 2644, 64, 339, 17, 421, 2440, 332, 458, 302, 424, 1728, 19, 204, 264, 320, 204, 264, 314, 2069, 610, 18, 1309, 448, 273, 933, 302, 886, 497, 500, 311, 771, 68, 2160, 338, 368, 204, 264, 314, 329, 469, 18, 1309, 448, 1400, 1892, 1283, 1006, 68, 876, 329, 846, 68, 876, 204, 264, 407, 6229, 78, 17, 1400, 19, 5574, 13, 885, 68, 876, 17, 846, 68, 876, 602, 348, 296, 292, 933, 13, 920, 68, 2160, 2395, 204, 204, 461, 1807, 68, 481, 68, 2160, 13, 481, 68, 2160, 31, 458, 64, 2644, 64, 339, 17, 421, 4395, 1724, 31, 394, 289, 388, 10300, 1594, 16361, 431, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 424, 1728, 448, 273, 11250, 1807, 329, 273, 1007, 1807, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 2160, 322, 655, 64, 2644, 64, 339, 17, 421, 3795, 334, 424, 1728, 311, 1807, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 1807, 19, 1243, 311, 388, 10300, 1594, 16361, 2948, 204, 264, 320, 204, 264, 314, 21374, 610, 329, 469, 1019, 497, 275, 424, 1728, 204, 264, 610, 68, 1309, 17, 469, 68, 1309, 289, 4337, 4934, 481, 68, 2160, 14, 204, 204, 264, 314, 666, 275, 1807, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 1003, 17, 887, 602, 204, 264, 1513, 19, 10129, 13, 93, 68, 1309, 17, 469, 68, 1309, 17, 1848, 833, 8683, 491, 1800, 833, 35116, 3045, 534, 204, 264, 1513, 19, 1657, 13, 93, 68, 1309, 17, 469, 68, 1309, 17, 1848, 833, 6267, 491, 1800, 833, 9576, 3045, 534, 204, 204, 264, 314, 1255, 1724, 329, 1769, 204, 264, 1513, 19, 1778, 13, 1778, 14, 204, 264, 1513, 19, 7246, 611, 61, 18, 3399, 534, 204, 264, 1513, 19, 7127, 611, 62, 18, 3399, 534, 204, 204, 264, 314, 1255, 12092, 204, 264, 1513, 19, 9042, 374, 204, 204, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 1900, 329, 1807, 1400, 424, 1728, 19, 204, 264, 320, 204, 264, 314, 968, 2072, 204, 264, 771, 68, 2160, 289, 931, 204, 264, 1006, 68, 876, 289, 1199, 204, 264, 846, 68, 876, 289, 2846, 204, 204, 264, 314, 2069, 424, 1728, 204, 264, 424, 68, 2160, 289, 1900, 68, 2017, 68, 481, 68, 2160, 13, 920, 68, 2160, 17, 1006, 68, 876, 17, 846, 68, 876, 14, 204, 204, 264, 314, 3045, 424, 1728, 204, 264, 1807, 68, 481, 68, 2160, 13, 481, 68, 2160, 17, 1724, 1022, 10300, 1594, 16361, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 38, 1481, 275, 2688, 440, 18429, 46978, 204, 50, 10960, 404, 280, 15921, 347, 874, 1742, 5202, 3060, 23124, 21932, 2077, 4362, 21280, 275, 2688, 884, 12337, 19, 1785, 874, 10547, 1742, 7595, 630, 34206, 1838, 17, 329, 874, 21944, 1792, 3942, 302, 16166, 19, 4496, 2077, 29584, 270, 651, 448, 28609, 275, 2804, 20918, 317, 46539, 974, 1698, 17090, 329, 1792, 15738, 7081, 2842, 2090, 2077, 5166, 34969, 651, 19, 1547, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7117, 273, 6273, 302, 10879, 17, 329, 13972, 275, 2804, 2390, 1922, 329, 7724, 401, 18, 48066, 19, 204, 2310, 874, 1425, 1742, 7595, 630, 1792, 8725, 17, 497, 3332, 275, 2688, 329, 3100, 275, 5427, 19, 334, 2804, 1466, 4382, 630, 19811, 275, 9464, 5168, 6, 204, 8390, 2804, 10342, 292, 13453, 302, 1475, 497, 3332, 275, 2688, 19, 3433, 25623, 16337, 275, 13453, 1882, 801, 690, 329, 7535, 1475, 311, 275, 300, 3614, 836, 1680, 5682, 292, 275, 11510, 19, 204, 3837, 884, 88, 4382, 311, 3020, 275, 2804, 874, 22986, 1818, 1025, 275, 11510, 17, 329, 874, 273, 2318, 21960, 348, 3100, 19, 12320, 2124, 717, 7186, 529, 11188, 17, 329, 275, 2804, 8336, 311, 23912, 1475, 19, 3433, 874, 273, 4382, 35834, 348, 508, 17330, 1330, 273, 717, 801, 270, 662, 869, 1742, 4481, 523, 275, 21409, 19, 334, 2284, 578, 8123, 869, 1742, 11311, 685, 273, 6273, 329, 353, 3060, 7458, 32, 275, 2804, 529, 43925, 3100, 275, 4669, 14126, 292, 5589, 17, 329, 15620, 311, 717, 7494, 2589, 2344, 19, 204, 673, 2804, 8336, 11375, 292, 5589, 17, 329, 572, 6296, 11375, 2589, 2344, 19, 334, 2804, 7051, 10582, 39314, 2077, 2821, 7186, 329, 4636, 440, 886, 19, 204, 673, 2804, 292, 801, 2928, 280, 529, 3100, 6833, 95, 311, 1340, 848, 904, 329, 572, 529, 3100, 1662, 311, 1225, 4430, 329, 6635, 19, 1058, 353, 4382, 348, 9218, 4361, 6173, 17, 329, 490, 353, 23548, 311, 3020, 275, 10212, 2804, 14644, 275, 17465, 2804, 292, 275, 850, 19, 204, 33098, 353, 11311, 329, 275, 2804, 529, 22802, 5202, 27098, 1465, 18751, 5217, 29965, 19, 1785, 874, 1742, 27682, 2077, 18751, 12843, 7829, 348, 2077, 18751, 2248, 19, 15601, 1882, 2077, 26412, 4801, 13852, 572, 6911, 18751, 19615, 329, 46851, 311, 636, 7829, 348, 275, 1043, 302, 11157, 19, 334, 2804, 1675, 9453, 523, 311, 1895, 273, 2871, 311, 1640, 1017, 4583, 48343, 19, 23975, 329, 46851, 529, 273, 4382, 2501, 348, 2804, 311, 2390, 25861, 329, 273, 2501, 348, 1475, 311, 10647, 1792, 7186, 19, 204, 7020, 11157, 6982, 451, 17, 572, 618, 3524, 275, 2804, 884, 88, 3100, 14193, 329, 1012, 311, 10647, 2077, 18751, 275, 2283, 19615, 17, 46851, 329, 904, 9819, 329, 11975, 6196, 19, 0, 647, 1875, 204, 647, 1127, 204, 647, 30537, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 647, 6835, 204, 204, 8, 4861, 204, 38139, 4380, 289, 40989, 204, 37, 266, 664, 30736, 96, 10936, 8478, 28823, 8679, 17, 204, 1724, 2508, 7874, 273, 42595, 302, 2695, 7405, 40875, 20049, 516, 36, 332, 2991, 9954, 348, 3594, 6030, 6009, 12375, 299, 1522, 204, 2799, 2508, 57, 44095, 502, 20299, 533, 23163, 329, 16367, 30289, 329, 313, 2881, 290, 1144, 5617, 329, 26177, 1282, 39357, 11704, 36621, 1522, 204, 2016, 1778, 2508, 7460, 37277, 1522, 204, 1324, 2508, 8679, 98, 204, 98, 204, 315, 204, 204, 25809, 289, 30537, 19, 42636, 13, 204, 264, 40989, 204, 10936, 8478, 28823, 19961, 311, 14561, 3793, 292, 11772, 2717, 18, 6452, 299, 17, 426, 8165, 273, 17540, 5384, 302, 1855, 275, 4711, 204, 13, 2004, 4005, 1275, 10942, 34760, 448, 437, 1451, 2016, 17, 1425, 1917, 440, 275, 1485, 14, 329, 275, 3269, 490, 353, 8286, 292, 19, 592, 204, 1819, 8365, 17, 490, 3192, 3888, 496, 4426, 8534, 18, 2290, 16018, 17, 732, 302, 4916, 2323, 329, 2323, 25165, 6121, 17, 204, 416, 11031, 1068, 6459, 19, 204, 10936, 8478, 28823, 353, 273, 717, 5568, 302, 2717, 18, 6452, 299, 1485, 32154, 1877, 1451, 2016, 26156, 348, 35073, 3651, 5384, 302, 204, 70, 3397, 19, 204, 315, 204, 14, 204, 3778, 289, 388, 3189, 1963, 88, 24, 18, 354, 18, 9965, 18, 23, 19, 36366, 19, 1453, 20, 1678, 23, 18, 15697, 20, 481, 20, 10936, 8478, 28823, 18, 59, 22, 18, 56, 738, 8679, 19, 5714, 7, 204, 204, 204, 676, 3594, 8478, 28823, 2108, 13, 8271, 19, 12201, 2108, 330, 204, 264, 320, 12201, 2108, 348, 3594, 8478, 28823, 1485, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 424, 68, 1217, 31, 394, 17, 930, 2251, 330, 204, 268, 320, 12413, 275, 38314, 2108, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 1217, 322, 325, 330, 12985, 348, 275, 800, 1485, 588, 19, 204, 305, 930, 2251, 31, 14839, 1906, 348, 29685, 311, 2234, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 2256, 34, 8271, 19, 11223, 499, 22, 19, 21, 19, 21, 528, 27945, 930, 2251, 14, 204, 268, 370, 19, 481, 68, 1217, 289, 424, 68, 1217, 204, 204, 204, 676, 3594, 8478, 28823, 13, 8271, 19, 6574, 17996, 12201, 330, 204, 264, 320, 10936, 8478, 28823, 1485, 1279, 204, 204, 264, 35547, 289, 6835, 19, 11223, 499, 21, 19, 22, 19, 21, 431, 204, 264, 27860, 3884, 9118, 68, 9926, 56, 289, 551, 204, 268, 3594, 8478, 28823, 2108, 13, 204, 305, 588, 1022, 660, 528, 204, 305, 2342, 34, 492, 15290, 19, 42636, 13, 204, 485, 320, 204, 485, 1547, 9995, 302, 720, 17, 4957, 28, 3536, 18, 4352, 20482, 18, 2201, 6218, 3888, 322, 25, 17, 4957, 28, 951, 17, 5106, 7801, 17, 5106, 683, 659, 204, 485, 928, 18793, 275, 5384, 302, 273, 2637, 1622, 2154, 1001, 302, 368, 17, 38053, 6836, 6218, 10942, 329, 275, 1650, 302, 1605, 10942, 311, 11695, 204, 485, 13026, 19, 1765, 1737, 17, 275, 1485, 6019, 273, 4707, 497, 848, 2717, 311, 275, 6836, 6218, 3718, 490, 867, 7784, 311, 204, 485, 18793, 19, 12375, 299, 3594, 8478, 28823, 3888, 6481, 4916, 9055, 2323, 6121, 17, 508, 13782, 292, 275, 2016, 19, 334, 3888, 17, 204, 485, 560, 3440, 17, 529, 21827, 34177, 560, 1855, 273, 14052, 18, 6070, 3372, 329, 273, 1142, 401, 18, 17738, 3372, 19, 39195, 5829, 204, 485, 7222, 41706, 7940, 3332, 2753, 10, 523, 3594, 8478, 28823, 17, 12637, 273, 3403, 10602, 311, 275, 19218, 10, 3666, 302, 28905, 18, 8938, 19, 204, 485, 320, 204, 305, 5334, 204, 305, 424, 68, 1217, 1022, 8952, 528, 204, 268, 5334, 204, 268, 3594, 8478, 28823, 2108, 13, 204, 305, 588, 1022, 16684, 528, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3664, 2154, 19050, 528, 3404, 1022, 1219, 431, 204, 264, 456, 13, 2182, 14, 204, 0, 676, 6109, 24660, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 456, 3157, 440, 1448, 24299, 19, 204, 204, 264, 1532, 31, 204, 268, 7929, 322, 325, 330, 334, 7929, 311, 444, 27396, 311, 275, 537, 782, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 7929, 31, 394, 289, 8930, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 6109, 24660, 440, 273, 800, 7929, 19, 204, 204, 268, 457, 31, 204, 305, 7929, 322, 325, 330, 334, 7929, 311, 444, 27396, 311, 275, 537, 782, 19, 1243, 311, 437, 1392, 782, 19, 204, 268, 320, 204, 268, 370, 19, 10301, 289, 7929, 204, 204, 264, 436, 456, 68, 1031, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 537, 782, 204, 268, 456, 13, 768, 68, 1031, 14, 204, 204, 264, 436, 456, 68, 1031, 68, 2004, 68, 10301, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 537, 782, 329, 45410, 275, 7929, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 537, 782, 440, 275, 7929, 204, 268, 456, 13, 75, 1954, 768, 68, 1031, 98, 463, 327, 19, 10301, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12938, 275, 1265, 302, 275, 6109, 24660, 850, 19, 204, 264, 320, 204, 264, 314, 666, 273, 6109, 24660, 1014, 440, 275, 7929, 379, 39246, 12, 204, 264, 19439, 289, 6109, 24660, 611, 39246, 534, 204, 615, 264, 314, 1198, 275, 537, 782, 379, 13493, 12, 204, 264, 19439, 19, 2102, 68, 1031, 611, 13493, 534, 204, 615, 264, 314, 1198, 275, 537, 782, 379, 13493, 12, 440, 275, 7929, 379, 39246, 12, 204, 264, 19439, 19, 2102, 68, 1031, 68, 2004, 68, 10301, 611, 13493, 534, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 3730, 7598, 31482, 34754, 22852, 20026, 10454, 3812, 7530, 942, 3941, 26509, 16517, 6677, 2235, 568, 19956, 15453, 5159, 2638, 4828, 22852, 20026, 4286, 7756, 31482, 408, 14513, 1111, 2879, 12298, 19534, 32562, 6677, 6523, 408, 7228, 2544, 30510, 12869, 2879, 10314, 26456, 1398, 21224, 1111, 1822, 2729, 3248, 408, 1603, 4518, 4500, 1764, 19956, 15453, 5159, 460, 4821, 6347, 16566, 17928, 3380, 408, 2778, 13376, 1111, 4136, 9438, 8058, 460, 5552, 1579, 568, 16517, 6677, 2235, 18876, 22852, 20026, 460, 4106, 2455, 408, 29705, 22852, 20026, 921, 16309, 19689, 3841, 16517, 6677, 2235, 39400, 3357, 11356, 408, 16517, 2235, 6677, 31006, 12869, 408, 3167, 4015, 43504, 15630, 3903, 4002, 29968, 408, 41611, 23073, 1116, 1734, 121, 40656, 1456, 25460, 6908, 120, 8293, 568, 204, 16517, 6677, 2235, 3730, 7598, 4136, 2098, 13578, 1111, 4134, 23, 2903, 2300, 2544, 14510, 408, 16517, 6677, 2235, 46465, 42762, 1227, 23050, 1776, 1458, 23462, 34295, 12397, 9477, 33852, 408, 6079, 6663, 8356, 3031, 9157, 17808, 10886, 4136, 2098, 13578, 1227, 23050, 30108, 19916, 226, 21389, 20421, 28156, 9238, 408, 16517, 6677, 2235, 2778, 3293, 2568, 10484, 1390, 2822, 2433, 4138, 990, 8464, 26196, 408, 10272, 15453, 5159, 42762, 4265, 4747, 4747, 3591, 124, 5629, 16517, 6677, 2235, 831, 4286, 408, 1970, 9620, 5002, 1951, 9477, 33852, 408, 1970, 18260, 1456, 11409, 9163, 22852, 20026, 408, 11409, 11808, 11632, 12812, 39475, 408, 11409, 17808, 41611, 23073, 1116, 1734, 121, 40656, 35142, 2174, 1990, 568, 204, 3878, 17165, 408, 22501, 1024, 255, 3013, 19956, 19874, 1367, 15453, 5159, 28388, 460, 35741, 408, 11563, 34849, 1111, 4134, 2218, 4987, 1929, 1565, 4462, 11107, 23217, 19956, 2638, 4828, 18892, 25038, 8481, 568, 8829, 3036, 408, 6385, 12812, 23117, 408, 24592, 48303, 3994, 8552, 18850, 460, 12812, 39475, 408, 18892, 25038, 8481, 2499, 3994, 11563, 34849, 460, 28874, 3656, 921, 1111, 23, 2903, 2300, 2544, 2729, 1116, 4197, 1438, 2773, 568, 18892, 25038, 8481, 4525, 2382, 1527, 13507, 1764, 26135, 12235, 21141, 408, 7413, 23117, 39475, 6225, 45955, 2730, 568, 29705, 408, 18892, 25038, 8481, 1227, 5564, 3178, 8914, 27556, 460, 4906, 5727, 6225, 1524, 2849, 408, 18892, 25038, 8481, 1886, 21141, 3994, 1970, 3136, 11563, 34849, 568, 204, 18892, 25038, 8481, 8356, 3031, 408, 1622, 27570, 1254, 3994, 14041, 16229, 31006, 1773, 11066, 5788, 27556, 408, 10282, 20916, 33365, 1251, 408, 3038, 9536, 1527, 2675, 10364, 1970, 3500, 13934, 4740, 5429, 568, 13284, 23117, 2402, 3730, 37568, 27556, 1191, 408, 3038, 20572, 7813, 2278, 2766, 2405, 3730, 408, 5299, 23060, 10886, 11107, 2642, 3725, 10904, 18892, 3833, 4126, 2299, 4348, 5873, 3276, 11259, 31738, 408, 1527, 30640, 2461, 105, 1111, 568, 1527, 12510, 1111, 408, 35994, 1527, 10222, 31499, 2174, 408, 3038, 4126, 2382, 1527, 13507, 1764, 33495, 6663, 568, 1527, 2675, 23734, 408, 2766, 7965, 5227, 3994, 11583, 15020, 14322, 408, 844, 258, 3357, 37568, 45094, 6744, 10886, 3464, 11978, 6540, 204, 18892, 25038, 8481, 13814, 1565, 20588, 14513, 19956, 15453, 5159, 408, 3463, 2034, 24792, 12321, 3774, 28069, 1003, 5485, 5340, 3513, 241, 408, 42836, 20224, 3699, 4298, 16, 2898, 1377, 4828, 12630, 408, 24795, 19956, 4821, 23726, 2411, 1111, 2300, 1565, 5428, 6278, 14365, 25281, 725, 1909, 22530, 14365, 25281, 408, 1845, 1565, 2218, 24795, 19534, 2324, 4079, 5552, 1579, 408, 2823, 4348, 1899, 7388, 12049, 29, 3476, 408, 2891, 20588, 19956, 3733, 2299, 1603, 16270, 23109, 5840, 6677, 17247, 460, 31738, 1191, 408, 2218, 4348, 1899, 831, 14198, 25670, 460, 9487, 48599, 568, 18892, 25038, 8481, 10529, 1638, 10214, 1565, 27, 2903, 19278, 21141, 11563, 34849, 408, 1946, 4882, 1670, 3463, 2034, 9993, 5062, 39109, 25038, 3598, 13332, 4821, 1227, 5564, 3178, 8914, 4821, 568, 204, 19956, 15453, 5159, 16639, 2499, 1579, 8562, 4293, 127, 4293, 127, 1111, 4134, 19956, 15453, 5159, 1390, 20588, 990, 4348, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8552, 1505, 1001, 29360, 4828, 20026, 31319, 9603, 1689, 5788, 4821, 1111, 408, 30510, 10654, 22, 20539, 8547, 27556, 3240, 5727, 408, 6765, 17394, 3774, 460, 2218, 14037, 22707, 8056, 23521, 42045, 4298, 408, 1002, 46843, 1926, 1764, 568, 3167, 4172, 2386, 12235, 18014, 408, 8185, 22501, 854, 7388, 12049, 33129, 53, 40149, 408, 4136, 1191, 5253, 1191, 12298, 19534, 6510, 2359, 6722, 10286, 20026, 31319, 9603, 1689, 568, 6462, 3476, 4821, 31273, 20026, 31319, 9603, 1689, 408, 6385, 30538, 2638, 4828, 408, 1191, 5253, 1191, 45773, 19534, 2860, 1191, 12298, 19534, 1432, 2499, 2218, 3131, 1579, 33568, 4239, 22538, 26840, 568, 0, 2920, 311, 888, 275, 11756, 302, 346, 578, 348, 273, 571, 18, 29579, 21021, 204, 204, 1449, 949, 275, 1302, 302, 275, 19263, 348, 273, 571, 18, 12217, 7130, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 21153, 275, 19265, 1385, 9881, 322, 15652, 40, 12541, 888, 275, 472, 15901, 560, 9137, 275, 7130, 677, 2347, 6374, 560, 368, 19, 1511, 329, 1675, 8631, 275, 722, 560, 275, 6264, 19, 204, 204, 262, 12082, 31, 472, 15901, 289, 322, 17882, 25521, 610, 368, 19, 1511, 14, 802, 25795, 204, 204, 262, 1165, 31, 1765, 273, 571, 18, 12217, 7130, 440, 273, 2347, 6374, 302, 931, 31067, 329, 273, 6264, 302, 5953, 59, 17, 275, 472, 15901, 1784, 444, 31, 204, 262, 472, 15901, 289, 322, 1003, 31067, 610, 368, 19, 1511, 14, 802, 5953, 59, 289, 7207, 19, 1511, 332, 18789, 204, 204, 23, 19, 930, 11479, 275, 14623, 14258, 18, 17076, 281, 7806, 302, 275, 346, 578, 1416, 1974, 275, 790, 18, 5365, 17883, 5960, 1435, 348, 275, 1187, 302, 19263, 872, 7188, 974, 311, 1020, 275, 2311, 4393, 18, 26991, 1864, 1945, 311, 7918, 275, 1713, 790, 19, 204, 204, 262, 1165, 31, 828, 275, 472, 15901, 353, 7207, 19, 1511, 332, 18789, 329, 872, 7188, 974, 273, 17423, 19263, 17, 275, 2311, 4393, 18, 26991, 1864, 1945, 348, 275, 19263, 1784, 444, 681, 649, 3231, 19, 204, 204, 24, 19, 930, 11479, 275, 25795, 9738, 1416, 1974, 275, 1581, 628, 5613, 289, 322, 46, 610, 361, 14, 802, 3861, 17, 1273, 382, 353, 275, 790, 292, 332, 18789, 329, 361, 353, 275, 6795, 302, 275, 19263, 292, 14560, 1015, 19, 9251, 275, 6264, 5790, 1583, 508, 15464, 571, 10, 302, 275, 1113, 6264, 19, 204, 204, 25, 19, 930, 10894, 275, 1736, 22799, 316, 346, 578, 11756, 1416, 1974, 275, 5630, 1917, 292, 275, 5946, 20049, 8756, 311, 2694, 275, 19263, 1302, 1609, 523, 275, 3392, 2311, 4393, 18, 26991, 1864, 329, 1646, 6264, 5790, 19, 204, 204, 3609, 2631, 1605, 3214, 17, 872, 618, 4897, 496, 872, 874, 275, 1706, 19263, 1302, 348, 1214, 571, 18, 12217, 7130, 15175, 19, 0, 673, 1917, 1068, 1583, 508, 918, 273, 2824, 2821, 1844, 311, 444, 9900, 19, 3355, 17, 490, 6644, 311, 444, 273, 16715, 521, 7506, 1465, 273, 14756, 523, 542, 5194, 348, 273, 1233, 427, 18, 5280, 850, 19, 716, 204, 3719, 572, 1466, 311, 1967, 329, 838, 273, 1844, 1609, 523, 275, 1483, 800, 17, 1051, 2237, 2717, 2549, 444, 31, 204, 204, 3728, 353, 275, 2712, 1283, 4193, 886, 329, 4835, 886, 36, 204, 204, 4706, 31, 204, 28106, 886, 529, 1376, 348, 11375, 329, 1012, 497, 368, 322, 22, 17, 435, 17, 571, 17, 681, 17, 3168, 789, 30036, 886, 17, 523, 275, 904, 1922, 17, 2255, 2962, 292, 4998, 311, 275, 4193, 886, 322, 21, 17, 368, 17, 435, 17, 571, 17, 681, 17, 3168, 789, 716, 204, 12129, 2237, 2717, 2549, 444, 31, 204, 204, 3728, 529, 275, 10569, 302, 8793, 329, 19141, 886, 36, 204, 204, 4706, 31, 204, 39830, 886, 618, 444, 8286, 448, 1892, 521, 6249, 329, 1741, 874, 15979, 15467, 19, 3433, 618, 13441, 311, 1182, 1194, 1051, 6980, 1627, 19, 13756, 15742, 886, 17, 5862, 17, 874, 4048, 1019, 496, 3524, 24061, 2900, 273, 2679, 329, 770, 508, 2255, 1892, 521, 6249, 19, 1346, 1763, 302, 437, 19141, 542, 353, 3724, 19, 0, 531, 1804, 532, 1804, 17, 8351, 204, 531, 1498, 532, 783, 204, 531, 9987, 532, 12532, 204, 204, 531, 7249, 68, 1803, 19, 1234, 19, 772, 19, 19124, 19, 3823, 532, 3678, 68, 5404, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 4022, 19, 8614, 4186, 10478, 12385, 532, 31764, 10478, 12385, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 32699, 19, 1443, 19, 10478, 5725, 532, 10385, 5725, 204, 531, 2617, 772, 19, 3295, 3313, 532, 3301, 3313, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 4108, 19, 16624, 2940, 532, 11490, 2940, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 32699, 19, 1935, 19, 3295, 2628, 532, 3301, 2628, 204, 531, 7249, 68, 1803, 19, 19773, 19, 772, 19, 32699, 19, 1935, 19, 596, 532, 7252, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 32699, 19, 1935, 19, 10478, 19573, 532, 10385, 19573, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 481, 19, 481, 19, 10478, 989, 532, 10385, 989, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 481, 19, 4108, 19, 13789, 48803, 532, 17551, 48803, 204, 531, 7249, 68, 1803, 19, 19773, 19, 2923, 19, 4022, 19, 2754, 19, 46, 10478, 23654, 532, 382, 10478, 23654, 204, 204, 204, 676, 10385, 23654, 13, 3295, 3313, 17, 382, 10478, 23654, 330, 204, 264, 320, 204, 264, 332, 2624, 10663, 7029, 348, 11696, 8499, 329, 6886, 2805, 19, 204, 264, 320, 204, 204, 264, 436, 636, 68, 2715, 68, 4022, 13, 327, 17, 15796, 68, 359, 31, 12532, 17, 2755, 68, 16652, 31, 783, 64, 325, 694, 393, 10385, 19573, 31, 204, 268, 320, 204, 268, 4071, 275, 1682, 2755, 2624, 348, 275, 800, 15796, 1222, 329, 2755, 19299, 19, 204, 204, 268, 457, 31, 204, 305, 15796, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 15796, 19, 204, 305, 2755, 68, 16652, 322, 1218, 64, 325, 1037, 334, 458, 302, 2755, 19299, 19, 204, 204, 268, 475, 31, 204, 305, 10385, 19573, 31, 334, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1682, 2755, 2624, 1483, 19, 204, 268, 320, 204, 268, 314, 977, 275, 958, 726, 204, 268, 958, 289, 10385, 19573, 374, 204, 204, 268, 314, 4055, 273, 1104, 4391, 204, 268, 370, 19, 3348, 19, 1530, 68, 7305, 374, 204, 268, 810, 31, 204, 305, 314, 6676, 275, 15796, 2428, 204, 305, 370, 806, 4216, 68, 20163, 68, 2960, 13, 20163, 68, 359, 14, 204, 204, 305, 314, 763, 275, 1682, 4476, 2624, 204, 305, 2624, 289, 370, 806, 505, 68, 2715, 68, 8382, 68, 4022, 13, 6772, 68, 16652, 14, 204, 204, 305, 314, 20276, 275, 2624, 204, 305, 370, 806, 1278, 68, 4022, 13, 4022, 19, 4022, 68, 359, 14, 204, 204, 305, 314, 1716, 275, 958, 440, 275, 2624, 1483, 204, 305, 958, 289, 10385, 19573, 13, 8614, 4186, 10478, 12385, 13, 4022, 19, 4022, 68, 359, 17, 2624, 19, 932, 17, 2624, 19, 2170, 17, 2624, 19, 11202, 68, 932, 602, 204, 204, 268, 827, 17551, 48803, 448, 508, 68, 10213, 68, 4108, 31, 204, 305, 314, 1426, 275, 508, 1193, 2710, 204, 305, 370, 806, 4103, 68, 1551, 68, 10213, 68, 4108, 13, 1551, 68, 10213, 68, 4108, 17, 958, 14, 204, 268, 827, 11490, 2940, 448, 4802, 68, 4108, 31, 204, 305, 314, 1426, 275, 4802, 2710, 204, 305, 370, 806, 4103, 68, 5234, 68, 4108, 13, 5234, 68, 4108, 17, 958, 14, 204, 268, 827, 1319, 448, 2710, 31, 204, 305, 314, 1426, 275, 7843, 2710, 204, 305, 370, 806, 4103, 68, 15662, 68, 4108, 13, 4108, 17, 958, 14, 204, 204, 268, 407, 958, 204, 204, 264, 436, 9345, 68, 4022, 13, 327, 17, 15796, 68, 359, 31, 12532, 17, 722, 31, 10385, 5725, 14, 393, 3301, 2628, 31, 204, 268, 320, 204, 268, 10480, 14255, 275, 2624, 440, 275, 800, 722, 19, 204, 204, 268, 457, 31, 204, 305, 15796, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 15796, 19, 204, 305, 722, 322, 10478, 5725, 330, 334, 722, 302, 275, 2624, 19, 204, 204, 268, 475, 31, 204, 305, 3301, 2628, 31, 334, 958, 5850, 3855, 275, 2624, 867, 10689, 4073, 19, 204, 268, 320, 204, 268, 314, 977, 275, 958, 726, 204, 268, 958, 289, 3301, 2628, 374, 204, 204, 268, 314, 4055, 273, 1104, 4391, 204, 268, 370, 19, 3348, 19, 1530, 68, 7305, 374, 204, 268, 810, 31, 204, 305, 314, 6676, 275, 15796, 2428, 204, 305, 370, 806, 4216, 68, 20163, 68, 2960, 13, 20163, 68, 359, 14, 204, 204, 305, 314, 40683, 275, 2624, 204, 305, 370, 19, 8827, 19, 19604, 68, 4022, 13, 1300, 19, 4022, 68, 359, 17, 15796, 68, 359, 14, 204, 204, 305, 314, 3325, 275, 2624, 722, 204, 305, 370, 806, 1616, 68, 4022, 68, 1300, 13, 1300, 14, 204, 204, 305, 314, 1716, 275, 958, 440, 1978, 204, 305, 958, 289, 3301, 2628, 13, 1021, 14, 204, 204, 268, 827, 17551, 48803, 448, 508, 68, 10213, 68, 4108, 31, 204, 305, 314, 1426, 275, 508, 1193, 2710, 204, 305, 370, 806, 4103, 68, 1551, 68, 10213, 68, 4108, 13, 1551, 68, 10213, 68, 4108, 17, 958, 14, 204, 268, 827, 11490, 2940, 448, 4802, 68, 4108, 31, 204, 305, 314, 1426, 275, 4802, 2710, 204, 305, 370, 806, 4103, 68, 5234, 68, 4108, 13, 5234, 68, 4108, 17, 958, 14, 204, 268, 827, 1319, 448, 2710, 31, 204, 305, 314, 1426, 275, 7843, 2710, 204, 305, 370, 806, 4103, 68, 15662, 68, 4108, 13, 4108, 17, 958, 14, 204, 204, 268, 407, 958, 204, 204, 264, 436, 906, 4216, 68, 20163, 68, 2960, 13, 327, 17, 15796, 68, 359, 31, 12532, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19795, 273, 2428, 497, 275, 15796, 440, 275, 800, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 15796, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 15796, 19, 204, 268, 320, 204, 268, 314, 6676, 275, 15796, 2428, 204, 268, 370, 19, 3348, 19, 20163, 68, 574, 1528, 4216, 68, 2960, 13, 20163, 68, 359, 14, 204, 204, 264, 436, 906, 505, 68, 2715, 68, 8382, 68, 4022, 13, 327, 17, 2755, 68, 16652, 31, 783, 64, 325, 694, 393, 10385, 989, 31, 204, 268, 320, 204, 268, 4071, 275, 1682, 4476, 2624, 497, 275, 458, 302, 2755, 19299, 19, 204, 204, 268, 457, 31, 204, 305, 2755, 68, 16652, 322, 1218, 64, 325, 1037, 334, 458, 302, 2755, 19299, 19, 204, 204, 268, 475, 31, 204, 305, 10385, 989, 31, 334, 1682, 4476, 2624, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1682, 4476, 2624, 204, 268, 407, 370, 19, 3348, 19, 4022, 68, 574, 1528, 505, 68, 2715, 68, 8382, 68, 266, 68, 11202, 68, 655, 13, 6772, 68, 16652, 14, 204, 204, 264, 436, 906, 1278, 68, 4022, 13, 327, 17, 2624, 68, 359, 31, 12532, 14, 393, 443, 31, 204, 268, 320, 204, 268, 964, 8099, 275, 2624, 440, 275, 800, 1222, 19, 204, 204, 268, 457, 31, 204, 305, 2624, 68, 359, 322, 15976, 330, 334, 1222, 302, 275, 2624, 19, 204, 268, 320, 204, 268, 314, 20276, 275, 2624, 204, 268, 370, 19, 3348, 19, 4022, 68, 574, 1528, 1278, 13, 4022, 68, 359, 14, 204, 268, 370, 19, 3348, 19, 2360, 374, 204, 268, 370, 19, 3348, 19, 4827, 374, 204, 204, 264, 436, 906, 1616, 68, 4022, 68, 1300, 13, 327, 17, 722, 31, 10385, 5725, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9506, 275, 2624, 722, 19, 204, 204, 268, 457, 31, 204, 305, 722, 322, 10478, 5725, 330, 334, 722, 302, 275, 2624, 19, 204, 268, 320, 204, 268, 314, 3325, 848, 2624, 292, 275, 722, 204, 268, 348, 2624, 292, 722, 19, 4022, 68, 655, 31, 204, 305, 314, 2069, 273, 2220, 3678, 348, 275, 2624, 1029, 204, 305, 2220, 68, 4074, 289, 3678, 68, 5404, 1528, 4776, 68, 2170, 68, 4074, 13, 4022, 19, 2170, 14, 204, 204, 305, 810, 31, 204, 485, 314, 763, 275, 4449, 2624, 560, 3678, 204, 485, 4449, 68, 4022, 289, 370, 19, 3348, 19, 4022, 68, 574, 1528, 505, 68, 1424, 68, 4074, 13, 5271, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4074, 14, 204, 204, 485, 314, 778, 397, 275, 2624, 353, 23391, 329, 869, 18498, 204, 485, 30621, 68, 672, 289, 4449, 68, 4022, 19, 672, 68, 15612, 465, 8351, 13, 4936, 34, 28, 14, 204, 485, 397, 30621, 68, 672, 962, 1804, 19, 1520, 374, 329, 4449, 68, 4022, 19, 24041, 31, 204, 895, 314, 1628, 1278, 275, 2624, 204, 895, 370, 19, 3348, 19, 4022, 68, 574, 1528, 48465, 13, 14028, 68, 4022, 19, 4022, 68, 359, 14, 204, 305, 827, 17551, 48803, 31, 204, 485, 314, 666, 273, 717, 2624, 397, 490, 1583, 508, 1337, 204, 485, 717, 68, 4022, 289, 10385, 989, 13, 4022, 19, 4022, 68, 932, 17, 2624, 19, 2170, 17, 1078, 17, 2624, 19, 20163, 68, 359, 17, 2624, 19, 11202, 68, 932, 14, 204, 485, 370, 19, 3348, 19, 4022, 68, 574, 1528, 826, 13, 1957, 68, 4022, 14, 204, 204, 268, 314, 3025, 329, 5791, 275, 3731, 204, 268, 370, 19, 3348, 19, 2360, 374, 204, 268, 370, 19, 3348, 19, 4827, 374, 204, 204, 264, 436, 906, 4103, 68, 1551, 68, 10213, 68, 4108, 13, 327, 17, 2710, 31, 17551, 48803, 17, 958, 31, 3301, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 508, 1193, 2710, 19, 204, 204, 268, 457, 31, 204, 305, 2710, 322, 13789, 48803, 330, 334, 508, 1193, 2710, 19, 204, 305, 958, 322, 3295, 2628, 330, 334, 958, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 32166, 275, 4391, 204, 268, 370, 19, 3348, 19, 19398, 374, 204, 204, 268, 314, 1716, 275, 958, 440, 275, 908, 204, 268, 958, 19, 574, 68, 718, 13, 596, 611, 5379, 2995, 491, 9485, 17, 2710, 19, 1454, 602, 204, 204, 264, 436, 906, 4103, 68, 5234, 68, 4108, 13, 327, 17, 2710, 31, 11490, 2940, 17, 958, 31, 3301, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 4802, 2710, 19, 204, 204, 268, 457, 31, 204, 305, 2710, 322, 16624, 2940, 330, 334, 4802, 2710, 19, 204, 305, 958, 322, 3295, 2628, 330, 334, 958, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 32166, 275, 4391, 204, 268, 370, 19, 3348, 19, 19398, 374, 204, 204, 268, 314, 1716, 275, 958, 440, 275, 908, 204, 268, 958, 19, 574, 68, 718, 13, 596, 499, 23450, 40187, 528, 5106, 17, 2710, 19, 1454, 602, 204, 268, 456, 13, 4108, 14, 204, 204, 264, 436, 906, 4103, 68, 15662, 68, 4108, 13, 327, 17, 2710, 31, 1319, 17, 958, 31, 3301, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 7843, 2710, 19, 204, 204, 268, 457, 31, 204, 305, 2710, 322, 2940, 330, 334, 7843, 2710, 19, 204, 305, 958, 322, 3295, 2628, 330, 334, 958, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 32166, 275, 4391, 204, 268, 370, 19, 3348, 19, 19398, 374, 204, 204, 268, 314, 1716, 275, 958, 440, 275, 908, 204, 268, 958, 19, 574, 68, 718, 13, 596, 499, 23450, 40187, 528, 5106, 17, 2710, 3925, 325, 367, 5887, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 204, 461, 1137, 68, 935, 13, 553, 68, 546, 31, 394, 14, 393, 645, 19, 766, 1152, 443, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 1152, 443, 31, 334, 3271, 752, 17, 521, 443, 397, 275, 510, 353, 508, 1193, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1151, 275, 752, 497, 275, 510, 204, 268, 407, 1513, 19, 10465, 13, 553, 68, 546, 14, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 596, 31, 3207, 510, 3318, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 443, 204, 204, 461, 838, 68, 7208, 13, 935, 31, 645, 19, 766, 14, 393, 927, 64, 14480, 19, 11600, 17, 1513, 19, 16571, 744, 204, 264, 320, 204, 264, 666, 273, 717, 4368, 440, 275, 1729, 7857, 3726, 448, 275, 752, 19, 204, 204, 264, 457, 31, 204, 264, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 732, 348, 275, 4368, 1302, 19, 204, 204, 264, 475, 31, 204, 264, 927, 64, 14480, 19, 11600, 17, 1513, 19, 16571, 744, 334, 1966, 4368, 329, 1163, 8648, 19, 204, 264, 320, 204, 264, 314, 1986, 275, 1853, 329, 2198, 302, 275, 752, 204, 264, 1853, 17, 2198, 17, 906, 289, 752, 19, 1827, 204, 615, 264, 314, 888, 275, 4368, 1302, 1609, 523, 275, 752, 5150, 204, 264, 4368, 68, 835, 289, 322, 2435, 802, 1607, 17, 1853, 802, 1607, 14, 204, 615, 264, 314, 666, 273, 717, 4368, 440, 275, 3392, 1302, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 11390, 34, 7208, 68, 835, 14, 204, 615, 264, 314, 8174, 2258, 275, 3138, 204, 264, 1711, 19, 3399, 611, 3008, 534, 204, 615, 264, 407, 2836, 17, 1711, 204, 204, 461, 2106, 68, 7208, 13, 601, 31, 1513, 19, 11600, 17, 1711, 31, 1513, 19, 16571, 17, 752, 31, 645, 19, 766, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 275, 4368, 311, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 2836, 322, 14480, 19, 11600, 330, 334, 4368, 311, 2106, 19, 204, 264, 1711, 322, 14480, 19, 16571, 330, 334, 8648, 302, 275, 4368, 19, 204, 264, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 2037, 292, 275, 4368, 19, 204, 264, 919, 68, 553, 322, 325, 330, 334, 832, 311, 2106, 275, 4368, 19, 204, 264, 320, 204, 264, 314, 3740, 275, 752, 523, 275, 8648, 204, 264, 1711, 19, 8122, 13, 935, 14, 204, 615, 264, 314, 3025, 275, 4368, 311, 275, 1713, 510, 204, 264, 1513, 19, 12273, 13, 1420, 68, 553, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 314, 968, 275, 537, 329, 919, 510, 3630, 204, 264, 752, 68, 553, 289, 379, 22, 19, 4955, 12, 204, 264, 919, 68, 553, 289, 379, 1510, 19, 4955, 12, 204, 615, 264, 314, 1385, 275, 752, 497, 275, 510, 204, 264, 752, 289, 1137, 68, 935, 13, 935, 68, 553, 14, 204, 615, 264, 314, 778, 397, 275, 752, 867, 3271, 4073, 204, 264, 397, 752, 353, 508, 443, 31, 204, 268, 314, 666, 273, 717, 4368, 329, 8648, 348, 275, 752, 204, 268, 2836, 17, 1711, 289, 838, 68, 7208, 13, 935, 14, 204, 822, 268, 314, 3025, 275, 4368, 311, 275, 919, 510, 204, 268, 2106, 68, 7208, 13, 601, 17, 1711, 17, 752, 17, 919, 68, 553, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 777, 32156, 31, 43368, 329, 34653, 7802, 15210, 28449, 777, 204, 204, 777, 38481, 4626, 2416, 2390, 17, 3953, 17, 329, 3120, 308, 19286, 329, 34055, 3542, 6058, 1094, 311, 2885, 275, 5025, 12130, 700, 302, 7155, 10293, 11773, 1609, 523, 1017, 10569, 19, 204, 204, 777, 34264, 4626, 204, 204, 22, 19, 42293, 8928, 31, 2415, 5301, 302, 8224, 2817, 204, 23, 19, 12022, 1044, 31, 542, 302, 25771, 292, 275, 5343, 204, 24, 19, 9200, 87, 2083, 31, 542, 302, 4943, 1105, 87, 2083, 204, 25, 19, 13995, 31, 2523, 302, 275, 5343, 322, 12193, 14, 204, 26, 19, 3242, 20423, 4545, 31, 5025, 12130, 700, 322, 427, 36211, 302, 14532, 14, 204, 204, 777, 40915, 4626, 204, 204, 1380, 565, 19286, 7802, 15210, 204, 204, 22, 19, 930, 43, 5600, 8928, 9790, 19, 3242, 20423, 4545, 4626, 204, 203, 15, 5128, 273, 11250, 1807, 440, 42293, 8928, 448, 275, 6403, 1554, 329, 3242, 20423, 4545, 448, 275, 10742, 1554, 19, 204, 203, 15, 6461, 275, 308, 19286, 3542, 6058, 1581, 329, 468, 67, 23, 292, 275, 1582, 19, 204, 203, 15, 10006, 15168, 397, 1422, 353, 273, 3542, 3633, 1283, 275, 970, 2558, 19, 204, 23, 19, 930, 14167, 9790, 19, 3242, 20423, 4545, 4626, 204, 203, 15, 5128, 273, 11250, 1807, 440, 13995, 448, 275, 6403, 1554, 329, 3242, 20423, 4545, 448, 275, 10742, 1554, 19, 204, 203, 15, 6461, 275, 308, 19286, 3542, 6058, 1581, 329, 468, 67, 23, 292, 275, 1582, 19, 204, 203, 15, 10006, 15168, 397, 1422, 353, 273, 3542, 3633, 1283, 275, 970, 2558, 19, 204, 204, 1380, 15210, 11865, 204, 204, 22, 19, 930, 43, 5600, 8928, 329, 3242, 20423, 4545, 4626, 204, 203, 15, 1974, 6057, 677, 11865, 23026, 53, 934, 311, 7575, 273, 6058, 4249, 19, 204, 203, 15, 4347, 397, 42293, 8928, 353, 273, 4883, 14888, 302, 3242, 20423, 4545, 19, 204, 23, 19, 930, 14167, 329, 3242, 20423, 4545, 4626, 204, 203, 15, 1974, 6057, 677, 11865, 23026, 53, 934, 311, 7575, 273, 6058, 4249, 19, 204, 203, 15, 4347, 397, 13995, 353, 273, 4883, 14888, 302, 3242, 20423, 4545, 19, 204, 204, 1380, 17914, 15210, 3746, 204, 204, 22, 19, 930, 18984, 3746, 4626, 204, 203, 15, 1974, 6057, 677, 11865, 23026, 53, 934, 311, 7575, 273, 6058, 4249, 440, 3242, 20423, 4545, 448, 275, 10742, 1554, 329, 42293, 8928, 17, 12022, 1044, 17, 9200, 87, 2083, 17, 329, 13995, 448, 6403, 2558, 19, 204, 203, 15, 4347, 275, 8926, 4185, 468, 67, 23, 329, 14201, 468, 67, 23, 19, 204, 23, 19, 930, 9650, 25329, 2680, 511, 1854, 4626, 204, 203, 15, 8554, 275, 4883, 35327, 630, 11181, 289, 500, 19, 4779, 19, 204, 203, 15, 4347, 928, 35327, 618, 444, 26239, 19, 204, 24, 19, 930, 12222, 3746, 4626, 204, 203, 15, 1974, 1698, 42293, 8928, 329, 12022, 1044, 448, 35327, 19, 204, 203, 15, 4347, 275, 2423, 570, 1581, 19, 204, 204, 1380, 27097, 204, 204, 22, 19, 930, 5039, 20423, 956, 15591, 4626, 204, 203, 15, 1974, 275, 2423, 570, 311, 949, 275, 28500, 700, 302, 273, 7155, 10293, 5343, 440, 273, 8224, 1864, 302, 571, 4589, 5223, 19, 9732, 2458, 435, 25771, 17, 329, 5082, 2153, 2181, 8518, 19, 204, 203, 15, 8139, 275, 3392, 28500, 700, 440, 275, 700, 292, 275, 1104, 19, 204, 204, 777, 12222, 3746, 13288, 4626, 204, 5039, 20423, 4545, 289, 19685, 19, 30, 465, 500, 19, 4635, 610, 42293, 8928, 465, 15066, 19, 5091, 610, 12022, 1044, 204, 204, 777, 5063, 15591, 4626, 204, 3070, 273, 7155, 10293, 5343, 440, 273, 8224, 1864, 302, 571, 4589, 5223, 19, 9732, 19, 329, 435, 25771, 31, 204, 5039, 20423, 4545, 289, 19685, 19, 30, 465, 500, 19, 4635, 610, 571, 4589, 465, 15066, 19, 5091, 610, 435, 204, 34, 19685, 19, 30, 465, 1233, 1003, 465, 32650, 19, 6996, 204, 34, 27116, 23, 19, 8667, 204, 204, 7108, 31, 1058, 4183, 18479, 496, 275, 2423, 570, 1581, 353, 1706, 329, 496, 275, 1019, 529, 292, 275, 1706, 4099, 322, 427, 36211, 302, 14532, 789, 0, 647, 1127, 204, 647, 4845, 204, 647, 2821, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 29248, 68, 16273, 448, 24377, 204, 204, 647, 1895, 601, 23, 448, 309, 204, 647, 717, 601, 448, 23985, 716, 204, 647, 2281, 448, 306, 204, 647, 7009, 23, 448, 273, 204, 204, 461, 1356, 68, 7270, 13, 553, 68, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 778, 397, 275, 510, 588, 3192, 379, 7270, 2625, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 379, 71, 12, 397, 379, 7270, 12, 353, 1193, 17, 379, 87, 12, 2130, 19, 204, 264, 320, 204, 264, 407, 379, 71, 12, 397, 379, 7270, 12, 292, 510, 68, 417, 902, 379, 87, 12, 204, 204, 461, 838, 68, 2100, 13, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 666, 273, 1445, 397, 490, 1583, 508, 1337, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 1445, 19, 204, 264, 320, 204, 264, 397, 508, 1127, 19, 546, 19, 16249, 13, 546, 330, 204, 268, 1127, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 13986, 13, 546, 14, 204, 204, 461, 9831, 68, 16707, 271, 68, 16273, 13, 204, 264, 510, 68, 546, 31, 394, 17, 716, 264, 510, 68, 1217, 31, 394, 17, 716, 264, 3101, 68, 553, 68, 417, 31, 394, 17, 716, 264, 2281, 68, 481, 31, 1109, 289, 959, 17, 716, 264, 7009, 68, 481, 31, 1109, 289, 959, 17, 716, 264, 1895, 68, 33299, 31, 1109, 289, 959, 17, 716, 264, 44993, 31, 1109, 289, 959, 17, 716, 264, 12359, 6054, 31, 1109, 289, 959, 17, 716, 264, 8136, 971, 31, 1109, 289, 1078, 17, 716, 264, 771, 68, 2604, 31, 421, 289, 931, 777, 28, 17, 716, 264, 846, 68, 2604, 31, 421, 289, 931, 777, 29, 17, 716, 264, 1136, 68, 834, 31, 421, 289, 931, 777, 1258, 17, 204, 264, 1934, 31, 818, 289, 48085, 17, 716, 264, 10879, 31, 818, 289, 435, 15, 1003, 777, 18, 29, 17, 716, 264, 303, 4977, 68, 93, 6620, 31, 818, 289, 571, 19, 27, 15, 1003, 777, 18, 1003, 17, 716, 264, 37151, 68, 93, 6620, 31, 818, 289, 571, 19, 27, 15, 1003, 777, 2422, 1003, 659, 204, 264, 724, 68, 285, 2138, 31, 818, 289, 21920, 17, 716, 264, 724, 68, 22310, 31, 818, 289, 10850, 17, 716, 264, 12260, 68, 26597, 31, 818, 289, 1132, 1909, 17, 716, 264, 468, 31, 818, 289, 931, 17, 204, 264, 23478, 31, 818, 289, 1132, 19, 30, 540, 931, 777, 2422, 2353, 659, 716, 264, 300, 31, 818, 289, 368, 19, 24, 17, 716, 264, 724, 68, 3512, 31, 818, 289, 368, 17, 716, 264, 724, 68, 75, 2320, 31, 818, 289, 368, 17, 716, 264, 724, 68, 1847, 31, 818, 289, 2031, 1207, 17, 204, 264, 4611, 1949, 31, 818, 289, 368, 17, 716, 264, 13268, 31, 818, 289, 720, 2177, 17, 716, 264, 16127, 68, 14887, 87, 31, 818, 289, 500, 19, 26, 17, 716, 264, 15649, 68, 1205, 31, 818, 289, 5074, 17, 716, 264, 4671, 68, 1796, 31, 818, 289, 571, 13971, 17, 716, 264, 23803, 31, 818, 289, 368, 19, 25, 17, 716, 264, 9373, 68, 3115, 31, 818, 289, 368, 17, 716, 264, 17192, 31, 818, 289, 500, 19, 22, 17, 716, 264, 300, 68, 11747, 5152, 31, 818, 289, 368, 17, 716, 264, 8227, 68, 834, 31, 818, 289, 1168, 3145, 17, 716, 264, 1877, 68, 24390, 31, 818, 289, 500, 17, 716, 264, 1552, 31, 421, 289, 435, 17, 716, 264, 2291, 31, 394, 289, 388, 89, 23, 528, 716, 264, 357, 1123, 34710, 31, 818, 289, 1199, 17, 716, 264, 771, 68, 11060, 31, 421, 289, 30493, 17, 716, 264, 15649, 68, 11060, 31, 421, 289, 10923, 17, 716, 264, 6505, 31, 421, 289, 571, 17, 716, 264, 10168, 31, 421, 289, 500, 17, 716, 264, 20108, 22, 31, 818, 289, 500, 17, 716, 264, 284, 3011, 68, 21974, 31, 818, 289, 1607, 17, 716, 264, 690, 68, 2290, 31, 818, 289, 2031, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 7877, 329, 7009, 29248, 8200, 424, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 268, 510, 68, 1217, 322, 325, 330, 334, 1445, 302, 275, 510, 19, 204, 268, 3101, 68, 553, 68, 417, 322, 325, 330, 334, 3101, 588, 302, 275, 510, 19, 204, 268, 2281, 68, 481, 322, 2107, 17, 1448, 330, 2266, 311, 2281, 424, 19, 1243, 311, 959, 19, 204, 268, 7009, 68, 481, 322, 2107, 17, 1448, 330, 2266, 311, 7009, 424, 19, 1243, 311, 959, 19, 204, 268, 1895, 68, 33299, 322, 2107, 17, 1448, 330, 2266, 311, 1895, 11057, 19, 1243, 311, 959, 19, 204, 268, 44993, 322, 2107, 17, 1448, 330, 2266, 311, 732, 44993, 19, 1243, 311, 959, 19, 204, 268, 12359, 6054, 322, 2107, 17, 1448, 330, 2266, 311, 732, 12359, 6054, 19, 1243, 311, 959, 19, 204, 268, 8136, 971, 322, 2107, 17, 1448, 330, 2266, 311, 732, 8136, 971, 19, 1243, 311, 1078, 19, 204, 268, 771, 68, 2604, 322, 339, 17, 1448, 330, 334, 542, 302, 2238, 19, 1243, 311, 931, 777, 28, 19, 204, 268, 846, 68, 2604, 322, 339, 17, 1448, 330, 334, 1646, 542, 302, 2238, 19, 1243, 311, 931, 777, 29, 19, 204, 268, 1136, 68, 834, 322, 339, 17, 1448, 330, 334, 1136, 690, 19, 1243, 311, 931, 777, 1258, 19, 204, 268, 1934, 322, 996, 17, 1448, 330, 334, 3312, 19, 1243, 311, 48085, 19, 204, 268, 10879, 322, 996, 17, 1448, 330, 334, 10879, 19, 1243, 311, 435, 15, 1003, 777, 18, 29, 19, 204, 268, 303, 4977, 68, 93, 6620, 322, 996, 17, 1448, 330, 334, 303, 4977, 4393, 4446, 19, 1243, 311, 571, 19, 27, 15, 1003, 777, 18, 1003, 19, 204, 268, 37151, 68, 93, 6620, 322, 996, 17, 1448, 330, 334, 37151, 4393, 4446, 19, 1243, 311, 571, 19, 27, 15, 1003, 777, 2422, 1003, 789, 204, 268, 724, 68, 285, 2138, 322, 996, 17, 1448, 330, 334, 355, 2138, 2233, 19, 1243, 311, 21920, 19, 204, 268, 724, 68, 22310, 322, 996, 17, 1448, 330, 334, 16075, 2233, 19, 1243, 311, 10850, 19, 204, 268, 12260, 68, 26597, 322, 996, 17, 1448, 330, 334, 18848, 13268, 19, 1243, 311, 1132, 1909, 19, 204, 268, 468, 322, 996, 17, 1448, 330, 334, 3441, 19, 1243, 311, 931, 19, 204, 268, 23478, 322, 996, 17, 1448, 330, 334, 23478, 19, 1243, 311, 1132, 19, 30, 540, 931, 777, 2422, 2353, 789, 204, 268, 300, 322, 996, 17, 1448, 330, 334, 29850, 1112, 19, 1243, 311, 368, 19, 24, 19, 204, 268, 724, 68, 3512, 322, 996, 17, 1448, 330, 334, 3312, 2233, 19, 1243, 311, 368, 19, 204, 268, 724, 68, 75, 2320, 322, 996, 17, 1448, 330, 334, 283, 2320, 2233, 19, 1243, 311, 368, 19, 204, 268, 724, 68, 1847, 322, 996, 17, 1448, 330, 334, 1102, 2233, 19, 1243, 311, 2031, 1207, 19, 204, 268, 4611, 1949, 322, 996, 17, 1448, 330, 334, 19312, 2233, 19, 1243, 311, 368, 19, 204, 268, 13268, 322, 996, 17, 1448, 330, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 334, 13268, 19, 1243, 311, 720, 2177, 19, 204, 268, 16127, 68, 14887, 87, 322, 996, 17, 1448, 330, 334, 16127, 2347, 19, 1243, 311, 500, 19, 26, 19, 204, 268, 15649, 68, 1205, 322, 996, 17, 1448, 330, 334, 15649, 1277, 19, 1243, 311, 5074, 19, 204, 268, 4671, 68, 1796, 322, 996, 17, 1448, 330, 334, 18243, 1277, 19, 1243, 311, 571, 13971, 19, 204, 268, 23803, 322, 996, 17, 1448, 330, 334, 8247, 32987, 19, 1243, 311, 368, 19, 25, 19, 204, 268, 9373, 68, 3115, 322, 996, 17, 1448, 330, 334, 9373, 4442, 19, 1243, 311, 368, 19, 204, 268, 17192, 322, 996, 17, 1448, 330, 334, 17192, 19, 1243, 311, 500, 19, 22, 19, 204, 268, 300, 68, 11747, 5152, 322, 996, 17, 1448, 330, 334, 542, 302, 33144, 5152, 19, 1243, 311, 368, 19, 204, 268, 8227, 68, 834, 322, 996, 17, 1448, 330, 334, 8227, 690, 19, 1243, 311, 1168, 3145, 19, 204, 268, 1877, 68, 24390, 322, 996, 17, 1448, 330, 334, 1877, 15649, 19, 1243, 311, 500, 19, 204, 268, 1552, 322, 339, 17, 1448, 330, 334, 1552, 19, 1243, 311, 435, 19, 204, 268, 2291, 322, 325, 17, 1448, 330, 334, 2291, 19, 1243, 311, 388, 89, 23, 2948, 204, 268, 357, 1123, 34710, 322, 996, 17, 1448, 330, 334, 357, 1123, 34710, 19, 1243, 311, 1199, 19, 204, 268, 771, 68, 11060, 322, 339, 17, 1448, 330, 334, 542, 302, 11466, 19, 1243, 311, 30493, 19, 204, 268, 15649, 68, 11060, 322, 339, 17, 1448, 330, 334, 542, 302, 15649, 11466, 19, 1243, 311, 10923, 19, 204, 268, 6505, 322, 339, 17, 1448, 330, 334, 542, 302, 6505, 19, 1243, 311, 571, 19, 204, 268, 10168, 322, 339, 17, 1448, 330, 334, 1767, 19, 1243, 311, 500, 19, 204, 268, 20108, 22, 322, 996, 17, 1448, 330, 334, 20108, 22, 19, 1243, 311, 500, 19, 204, 268, 284, 3011, 68, 21974, 322, 996, 17, 1448, 330, 334, 284, 3011, 17181, 19, 1243, 311, 1607, 19, 204, 268, 690, 68, 2290, 322, 996, 17, 1448, 330, 334, 690, 1660, 19, 1243, 311, 2031, 19, 204, 264, 320, 204, 264, 314, 666, 7887, 204, 264, 838, 68, 2100, 13, 553, 68, 546, 14, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 20525, 989, 3687, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 23321, 981, 3687, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 20525, 989, 528, 510, 68, 1217, 602, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 23321, 981, 528, 510, 68, 1217, 602, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 20525, 989, 528, 510, 68, 1217, 17, 3101, 68, 553, 68, 417, 602, 204, 264, 838, 68, 2100, 13, 865, 19, 546, 19, 1541, 13, 553, 68, 546, 17, 388, 23321, 981, 528, 510, 68, 1217, 17, 3101, 68, 553, 68, 417, 602, 204, 204, 264, 314, 3400, 424, 204, 264, 397, 2281, 68, 481, 31, 204, 268, 306, 19, 2206, 13, 204, 305, 510, 68, 546, 17, 716, 305, 510, 68, 1217, 17, 716, 305, 3101, 68, 553, 68, 417, 17, 716, 305, 12359, 6054, 17, 716, 305, 44993, 17, 716, 305, 8136, 971, 17, 716, 305, 771, 68, 2604, 17, 716, 305, 846, 68, 2604, 17, 716, 305, 1136, 68, 834, 17, 716, 305, 1934, 17, 716, 305, 10879, 17, 716, 305, 303, 4977, 68, 93, 6620, 17, 716, 305, 37151, 68, 93, 6620, 17, 716, 305, 724, 68, 285, 2138, 17, 716, 305, 724, 68, 75, 2320, 17, 716, 305, 724, 68, 1847, 17, 716, 305, 724, 68, 22310, 17, 716, 305, 724, 68, 3512, 17, 716, 305, 12260, 68, 26597, 17, 716, 305, 468, 17, 716, 305, 23478, 17, 716, 305, 300, 17, 716, 305, 4611, 1949, 17, 716, 305, 13268, 17, 716, 305, 16127, 68, 14887, 87, 17, 716, 305, 15649, 68, 1205, 17, 716, 305, 4671, 68, 1796, 17, 716, 305, 23803, 17, 716, 305, 9373, 68, 3115, 17, 716, 305, 17192, 17, 716, 305, 300, 68, 11747, 5152, 17, 716, 305, 8227, 68, 834, 17, 716, 305, 1877, 68, 24390, 17, 716, 305, 690, 68, 2290, 17, 716, 305, 6505, 17, 716, 305, 10168, 17, 716, 305, 20108, 22, 204, 268, 1179, 204, 204, 264, 314, 12589, 424, 204, 264, 397, 7009, 68, 481, 31, 204, 268, 273, 19, 24498, 13, 204, 305, 510, 68, 546, 17, 716, 305, 510, 68, 1217, 17, 716, 305, 3101, 68, 553, 68, 417, 17, 716, 305, 771, 68, 2604, 17, 716, 305, 1552, 17, 716, 305, 2291, 17, 716, 305, 357, 1123, 34710, 17, 716, 305, 771, 68, 11060, 17, 716, 305, 15649, 68, 11060, 17, 716, 305, 6505, 17, 716, 305, 1895, 68, 33299, 17, 716, 305, 309, 19, 5934, 70, 601, 17, 716, 305, 8136, 971, 17, 716, 305, 284, 3011, 68, 21974, 17, 716, 305, 4611, 1949, 204, 268, 1179, 204, 204, 264, 314, 3867, 11057, 204, 264, 397, 1895, 68, 33299, 31, 204, 268, 314, 1255, 1576, 311, 1895, 11057, 3237, 204, 268, 1879, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 510, 68, 546, 289, 388, 546, 20, 633, 20, 553, 7, 204, 264, 510, 68, 1217, 289, 388, 2100, 7, 204, 264, 3101, 68, 553, 68, 417, 289, 388, 553, 68, 417, 7, 204, 264, 9831, 68, 16707, 271, 68, 16273, 13, 553, 68, 546, 17, 510, 68, 1217, 17, 3101, 68, 553, 68, 417, 14, 204, 0, 531, 5920, 532, 7664, 204, 204, 461, 1040, 68, 1982, 342, 2527, 13, 88, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 36365, 496, 618, 444, 7196, 497, 275, 800, 782, 19, 204, 204, 264, 334, 782, 1856, 918, 275, 2724, 379, 39, 491, 379, 38, 491, 379, 49, 491, 379, 52, 491, 329, 379, 51, 2625, 204, 264, 7616, 20878, 6481, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 368, 379, 39, 491, 368, 379, 38, 491, 435, 379, 49, 677, 17, 435, 379, 52, 677, 17, 329, 368, 379, 51, 2625, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 36365, 496, 618, 444, 7196, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1945, 4442, 348, 848, 1943, 204, 264, 1945, 68, 3115, 289, 2552, 39, 597, 368, 17, 379, 38, 597, 368, 17, 379, 49, 597, 435, 17, 379, 52, 597, 435, 17, 379, 51, 597, 368, 98, 204, 204, 264, 314, 3398, 275, 7428, 302, 848, 1943, 292, 275, 782, 204, 264, 1125, 68, 3115, 289, 7664, 13, 72, 348, 279, 292, 297, 397, 279, 292, 1945, 68, 3115, 14, 204, 204, 264, 314, 888, 275, 1646, 542, 302, 36365, 496, 618, 444, 7196, 204, 264, 314, 560, 8631, 275, 1040, 302, 848, 1943, 560, 275, 1945, 1040, 204, 264, 314, 329, 6432, 275, 2311, 302, 1605, 1019, 204, 264, 20878, 68, 765, 289, 1006, 13, 204, 268, 1125, 68, 3115, 19, 505, 13, 2441, 17, 500, 14, 3166, 1945, 68, 3115, 64, 2441, 66, 204, 268, 348, 1125, 292, 1945, 68, 3115, 204, 264, 1179, 204, 204, 264, 407, 20878, 68, 765, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 537, 68, 325, 289, 379, 11595, 52, 4755, 49, 4859, 23000, 49, 5709, 19005, 12, 204, 264, 456, 13, 765, 68, 1982, 342, 2527, 13, 768, 68, 325, 602, 204, 0, 461, 456, 68, 21687, 68, 2626, 13, 2626, 68, 1205, 31, 421, 17, 19312, 68, 765, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 1767, 302, 886, 497, 500, 311, 1767, 68, 1205, 18, 22, 17, 7947, 19312, 68, 765, 2666, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 1767, 311, 444, 9425, 19, 204, 268, 19312, 68, 765, 322, 339, 330, 334, 542, 302, 2666, 311, 9437, 275, 1767, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1974, 273, 10756, 3546, 311, 9437, 275, 1767, 204, 264, 348, 906, 292, 933, 13, 7331, 12104, 68, 765, 330, 204, 268, 314, 1198, 275, 1767, 497, 500, 311, 1767, 68, 1205, 18, 22, 204, 268, 348, 542, 292, 933, 13, 2626, 68, 1205, 330, 204, 305, 456, 13, 1190, 14, 204, 204, 8, 1165, 1265, 31, 204, 2102, 68, 21687, 68, 2626, 13, 26, 17, 720, 14, 204, 0, 647, 1875, 204, 647, 1034, 2562, 204, 531, 26392, 19, 31213, 532, 17660, 204, 204, 461, 3142, 68, 5331, 4434, 28, 68, 12798, 13, 18785, 68, 1031, 31, 3154, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 3182, 34412, 8451, 8, 28, 5204, 497, 273, 7480, 782, 19, 204, 204, 264, 1164, 2394, 12329, 68, 1031, 31, 334, 12329, 7480, 782, 204, 264, 1164, 3309, 31, 334, 794, 18785, 7480, 782, 204, 264, 320, 204, 264, 314, 3182, 275, 34412, 8451, 8, 28, 5204, 497, 275, 7480, 782, 204, 264, 407, 12329, 68, 1031, 9128, 18785, 68, 1031, 3327, 22, 2629, 204, 204, 461, 15194, 68, 481, 13, 16452, 68, 481, 31, 3154, 17, 896, 31, 3154, 17, 5520, 68, 3828, 31, 3154, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 19498, 424, 974, 17660, 292, 346, 10294, 2291, 19, 204, 204, 264, 1164, 2394, 8079, 68, 481, 31, 334, 8079, 424, 204, 264, 1164, 2394, 896, 31, 334, 11255, 896, 204, 264, 1164, 2394, 5520, 68, 3828, 31, 334, 7934, 2450, 204, 264, 1164, 3309, 31, 334, 12225, 424, 204, 264, 320, 204, 264, 314, 666, 437, 17660, 8384, 726, 292, 346, 10294, 2291, 204, 264, 8384, 289, 17660, 19, 1957, 13, 644, 17, 17660, 19, 7847, 68, 46435, 17, 5520, 68, 3828, 14, 204, 264, 314, 19498, 275, 424, 204, 264, 407, 8384, 19, 20480, 13, 16452, 68, 481, 14, 204, 204, 461, 2252, 68, 1775, 68, 481, 13, 1775, 68, 481, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 2735, 2084, 424, 497, 273, 782, 19, 204, 204, 264, 1164, 2394, 1875, 68, 481, 31, 334, 2084, 424, 448, 273, 782, 204, 264, 1164, 3309, 31, 334, 3634, 2084, 424, 448, 273, 955, 204, 264, 320, 204, 264, 314, 2735, 275, 2084, 424, 204, 264, 407, 1875, 19, 5569, 13, 1775, 68, 481, 14, 204, 204, 461, 15194, 68, 1989, 13, 16452, 68, 1989, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 19498, 273, 1482, 19, 204, 204, 264, 1164, 2394, 8079, 68, 1989, 31, 334, 8079, 1482, 204, 264, 1164, 3309, 31, 334, 12225, 1482, 3678, 204, 264, 320, 204, 264, 314, 968, 275, 11255, 896, 329, 7934, 2450, 204, 264, 11255, 68, 644, 289, 308, 8761, 93, 3222, 65, 93, 5559, 65, 93, 7432, 65, 93, 6257, 65, 93, 4779, 65, 93, 7788, 65, 93, 8265, 65, 93, 7085, 65, 89, 65, 83, 65, 93, 21, 71, 65, 93, 21, 72, 65, 87, 65, 93, 21, 74, 65, 93, 21, 75, 65, 93, 1003, 12, 688, 204, 14019, 308, 8761, 93, 1641, 65, 93, 1258, 65, 93, 2353, 65, 93, 2300, 65, 93, 1909, 65, 93, 1845, 65, 93, 2314, 65, 93, 2132, 65, 93, 1794, 65, 93, 22, 70, 65, 93, 22, 71, 65, 93, 22, 72, 65, 93, 22, 73, 65, 93, 22, 74, 65, 93, 22, 75, 379, 204, 264, 7934, 68, 3828, 289, 308, 8761, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 12, 688, 204, 4511, 308, 8761, 93, 473, 65, 93, 473, 65, 93, 473, 65, 93, 473, 12, 204, 615, 264, 810, 31, 204, 268, 314, 3301, 2562, 10318, 275, 8079, 1482, 204, 268, 8079, 68, 481, 289, 1034, 2562, 19, 71, 2562, 5286, 13, 16452, 68, 1989, 14, 204, 822, 268, 314, 19498, 275, 424, 204, 268, 12225, 68, 481, 289, 15194, 68, 481, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 16452, 68, 481, 17, 11255, 68, 644, 17, 7934, 68, 3828, 14, 204, 822, 268, 314, 3182, 275, 34412, 8451, 8, 28, 5204, 204, 268, 794, 18785, 68, 481, 289, 3142, 68, 5331, 4434, 28, 68, 12798, 13, 29203, 68, 481, 14, 204, 822, 268, 314, 12210, 275, 794, 18785, 424, 311, 273, 782, 204, 268, 1875, 68, 481, 289, 794, 18785, 68, 481, 19, 5286, 611, 3102, 18, 29, 534, 204, 822, 268, 314, 2735, 275, 2084, 424, 204, 268, 1482, 68, 481, 289, 2252, 68, 1775, 68, 481, 13, 1775, 68, 481, 14, 204, 822, 268, 314, 455, 275, 12225, 1482, 3678, 204, 268, 407, 1482, 68, 481, 1166, 784, 9256, 20604, 1339, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 8079, 68, 1989, 289, 388, 7941, 68, 16452, 68, 1989, 7, 204, 264, 12225, 68, 1989, 68, 4074, 289, 15194, 68, 1989, 13, 16452, 68, 1989, 14, 204, 264, 456, 13, 75, 7, 47019, 1482, 3678, 31, 463, 29203, 68, 1989, 68, 4074, 743, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 315, 204, 1834, 2413, 3192, 275, 1104, 4557, 348, 275, 575, 1747, 1561, 19, 204, 315, 204, 204, 531, 589, 8991, 367, 532, 15185, 68, 17625, 204, 531, 1804, 532, 1804, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 1479, 19, 1618, 19, 15581, 532, 41143, 204, 204, 676, 19723, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4985, 302, 275, 1561, 19, 204, 264, 320, 204, 264, 850, 19723, 2191, 31, 204, 268, 320, 204, 268, 5782, 348, 4985, 3003, 19, 204, 268, 320, 204, 268, 38384, 37790, 13799, 289, 500, 204, 268, 6250, 22008, 289, 368, 204, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 5333, 68, 3631, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 7157, 289, 1094, 19, 12043, 13, 8436, 34, 1021, 17, 5991, 68, 633, 833, 4531, 68, 2936, 534, 204, 264, 3783, 68, 1190, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 3226, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 9505, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 9624, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 3618, 289, 1094, 19, 2580, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 1036, 14, 204, 264, 4985, 68, 932, 289, 1094, 19, 6368, 13, 2305, 34, 16187, 2191, 19, 18056, 37790, 13799, 14, 204, 264, 575, 289, 1094, 19, 20748, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 816, 19, 2574, 98, 338, 463, 327, 19, 5033, 68, 932, 2495, 204, 204, 676, 11814, 3251, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 8008, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1036, 14, 204, 264, 542, 68, 522, 68, 4280, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 676, 11262, 7839, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 677, 3680, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 542, 68, 522, 68, 19458, 68, 11039, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 16928, 11717, 463, 327, 19, 359, 2495, 204, 204, 676, 20147, 7839, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 7572, 677, 3680, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 542, 68, 522, 68, 19458, 68, 15466, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 24008, 11717, 463, 327, 19, 359, 2495, 204, 204, 676, 11262, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 4985, 289, 1094, 19, 20748, 13, 16187, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 3680, 289, 1094, 19, 20748, 13, 16928, 7839, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 16928, 463, 327, 19, 5033, 19, 816, 19, 2574, 2495, 204, 204, 676, 20147, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 7572, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 4985, 289, 1094, 19, 20748, 13, 16187, 17, 523, 68, 2756, 34, 5206, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14, 204, 264, 3680, 289, 1094, 19, 20748, 13, 24008, 7839, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 24008, 463, 327, 19, 5033, 19, 816, 19, 2574, 2495, 204, 204, 676, 7543, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1781, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 1489, 289, 1094, 19, 12860, 374, 204, 264, 1714, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 14, 204, 264, 4703, 68, 4531, 289, 1094, 19, 4483, 13, 16928, 7839, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 7572, 289, 1094, 19, 4483, 13, 24008, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 7289, 463, 327, 19, 359, 98, 338, 463, 327, 19, 1835, 2495, 204, 204, 676, 11262, 25544, 3251, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 677, 8008, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 2233, 289, 1094, 19, 18315, 13, 2305, 34, 21, 14, 204, 264, 2297, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 4703, 289, 1094, 19, 4483, 13, 16928, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 8008, 289, 1094, 19, 4483, 13, 25544, 3251, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 2220, 68, 18356, 289, 2448, 8804, 491, 379, 20380, 3251, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 8804, 19, 5033, 19, 816, 19, 2574, 98, 338, 463, 327, 19, 20380, 3251, 19, 417, 2495, 204, 204, 676, 14096, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4391, 292, 275, 1561, 19, 204, 264, 320, 204, 264, 1276, 289, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 534, 204, 264, 2297, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 1489, 289, 1094, 19, 12860, 13, 2305, 34, 2664, 19, 1520, 14, 204, 264, 4703, 289, 1094, 19, 4483, 13, 16928, 17, 523, 68, 2756, 34, 5206, 14, 204, 264, 7572, 289, 1094, 19, 4483, 13, 24008, 17, 523, 68, 2756, 34, 5206, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 14456, 463, 327, 19, 359, 98, 338, 463, 327, 19, 2895, 2495, 204, 0, 673, 3466, 302, 3284, 322, 7206, 14, 302, 273, 1874, 353, 8978, 8441, 630, 521, 13844, 4166, 275, 300, 629, 81, 292, 4757, 17, 329, 5084, 275, 300, 629, 81, 17, 14392, 311, 275, 373, 4110, 17, 292, 4598, 19, 204, 204, 5681, 970, 6453, 40255, 17, 275, 5422, 2955, 523, 848, 2061, 1882, 275, 11478, 353, 10501, 1936, 311, 275, 2955, 20835, 523, 3850, 560, 275, 904, 2061, 19, 334, 3466, 302, 3284, 302, 275, 2061, 40273, 292, 275, 2945, 302, 808, 2955, 17, 12511, 273, 2652, 292, 3581, 19, 6917, 275, 11478, 17, 275, 12186, 2955, 15539, 14255, 17, 329, 275, 15367, 5816, 353, 3913, 311, 275, 1066, 302, 830, 904, 6971, 11877, 523, 275, 2061, 19, 828, 808, 1066, 353, 2637, 17, 275, 3581, 302, 275, 27247, 302, 275, 2061, 29261, 10501, 3324, 19, 204, 204, 1449, 1020, 275, 3466, 302, 3284, 302, 437, 726, 17, 572, 618, 732, 275, 2631, 1216, 31, 204, 204, 15, 828, 437, 726, 353, 6300, 630, 273, 2852, 5104, 5084, 1163, 3466, 302, 3284, 521, 29256, 497, 273, 2852, 5104, 4166, 1163, 3466, 302, 3284, 17, 490, 1120, 444, 12218, 329, 1120, 508, 1012, 311, 11774, 19, 204, 15, 334, 3466, 302, 3284, 353, 5971, 17, 1101, 508, 4501, 17, 8441, 2614, 275, 726, 5398, 19, 204, 15, 828, 437, 726, 869, 3576, 496, 618, 2284, 440, 4130, 311, 848, 904, 17, 275, 2852, 302, 275, 3466, 302, 3284, 8788, 523, 275, 4738, 302, 275, 3576, 19, 204, 204, 837, 275, 1322, 302, 273, 11478, 17, 8454, 11531, 618, 444, 1376, 311, 2885, 275, 5914, 302, 275, 3466, 302, 3284, 302, 848, 2061, 2842, 1877, 275, 11478, 19, 4596, 8910, 12462, 677, 435, 307, 3938, 311, 437, 11586, 726, 17, 572, 618, 2885, 275, 5914, 302, 275, 3466, 302, 3284, 17, 928, 353, 275, 4398, 917, 348, 275, 726, 19, 0, 3728, 353, 275, 4794, 6871, 496, 618, 4185, 1025, 273, 265, 301, 27590, 36, 204, 204, 1449, 1020, 275, 2073, 17, 2249, 677, 1043, 3126, 275, 3633, 1283, 273, 2415, 329, 273, 6871, 19, 334, 4794, 2415, 496, 618, 4185, 1025, 273, 2350, 6871, 353, 3556, 448, 27996, 361, 398, 864, 677, 19664, 19, 334, 1653, 1277, 302, 808, 2415, 618, 444, 3392, 448, 6353, 31, 204, 204, 673, 13303, 302, 275, 2415, 529, 368, 20, 25, 302, 275, 1759, 497, 275, 8937, 302, 275, 6871, 19, 226, 204, 4931, 275, 12027, 7815, 17, 275, 1653, 1277, 302, 275, 2415, 353, 5900, 1802, 24, 20, 25, 2246, 23, 465, 322, 24, 20, 25, 2246, 23, 14, 289, 5900, 13, 30, 20, 1845, 465, 1233, 20, 1845, 14, 289, 5900, 13, 2132, 20, 1845, 14, 289, 571, 20, 25, 540, 5900, 13, 23, 789, 204, 204, 673, 1864, 302, 808, 2415, 353, 322, 24, 20, 25, 540, 5900, 13, 23, 16429, 23, 289, 1233, 20, 1845, 540, 435, 289, 1233, 20, 29, 19, 204, 204, 4063, 17, 311, 1020, 275, 4794, 6871, 496, 618, 4185, 1025, 273, 265, 301, 27590, 17, 572, 1519, 311, 4303, 504, 808, 3773, 311, 5092, 5150, 19, 334, 2073, 618, 444, 1193, 560, 26495, 275, 11316, 302, 27996, 361, 398, 864, 677, 19664, 311, 3420, 5150, 19, 204, 204, 13127, 311, 275, 9592, 8375, 4446, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 348, 27996, 361, 398, 864, 677, 19664, 17, 275, 4794, 6871, 496, 618, 4185, 292, 273, 265, 301, 27590, 869, 273, 1653, 1277, 302, 368, 18406, 23, 540, 7408, 24, 20, 23, 465, 3849, 23, 20, 23, 465, 368, 20, 23, 14, 1101, 1182, 12361, 348, 808, 1844, 329, 292, 273, 10341, 798, 353, 31, 226, 204, 2662, 1277, 289, 7408, 24, 20, 23, 465, 3849, 23, 20, 23, 465, 368, 20, 23, 14, 802, 3849, 23, 289, 7408, 23, 465, 3849, 23, 4061, 23, 716, 204, 4237, 17, 275, 2641, 2073, 353, 1182, 3700, 329, 5628, 11772, 6542, 7345, 19, 334, 1653, 1277, 302, 275, 4794, 6871, 496, 618, 4185, 292, 273, 265, 301, 27590, 353, 5387, 368, 18406, 23, 540, 7408, 23, 465, 3849, 23, 789, 0, 8, 1094, 20, 8315, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 13331, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4943, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 4943, 677, 588, 19, 204, 268, 3783, 68, 1190, 322, 325, 330, 334, 4943, 677, 3783, 542, 19, 204, 268, 1995, 322, 325, 330, 334, 4943, 677, 1995, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 264, 3783, 68, 1190, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1036, 14, 226, 314, 11328, 974, 273, 38030, 1186, 348, 4037, 3587, 204, 264, 1995, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 226, 314, 29702, 846, 1277, 348, 8426, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1094, 20, 38936, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 15053, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 11636, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 11636, 677, 588, 19, 204, 268, 2806, 68, 1190, 322, 325, 330, 334, 11636, 677, 2806, 542, 19, 204, 268, 2342, 322, 325, 330, 334, 11636, 677, 2342, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 204, 264, 2806, 68, 1190, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 226, 314, 34717, 379, 6190, 12, 311, 379, 3889, 68, 1190, 12, 348, 20040, 204, 264, 2342, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 226, 314, 34717, 379, 8968, 12, 311, 379, 2749, 12, 348, 20040, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1094, 20, 1115, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 2617, 8315, 532, 13331, 204, 531, 2617, 38936, 532, 15053, 204, 531, 1804, 532, 1804, 204, 204, 676, 5868, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 437, 1552, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 1552, 677, 588, 19, 204, 268, 5247, 68, 834, 322, 2664, 330, 334, 1552, 677, 5247, 690, 19, 204, 268, 4943, 322, 17813, 330, 334, 4943, 1415, 2927, 275, 1552, 19, 204, 268, 24202, 322, 13243, 330, 334, 24202, 292, 275, 1552, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 204, 264, 5247, 68, 834, 31, 1804, 289, 1094, 19, 6602, 13, 2305, 34, 2664, 19, 1520, 14, 204, 264, 4943, 31, 13331, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 30270, 17, 3232, 68, 417, 833, 4783, 534, 204, 264, 24202, 31, 379, 11641, 13139, 12, 289, 1094, 19, 13243, 13, 11641, 13139, 17, 1924, 833, 8477, 11641, 13139, 534, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 5868, 11641, 13139, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 11636, 292, 437, 1552, 19, 204, 204, 264, 1532, 31, 204, 268, 1552, 322, 8477, 330, 334, 1552, 496, 275, 11636, 11038, 311, 19, 204, 268, 11636, 322, 11641, 13139, 330, 334, 11636, 5398, 19, 204, 268, 4474, 322, 339, 330, 334, 4474, 302, 275, 11636, 292, 275, 1552, 19, 204, 264, 320, 204, 264, 1552, 31, 5868, 289, 1094, 19, 4483, 13, 8477, 17, 523, 68, 2756, 34, 1618, 19, 30270, 14, 204, 264, 11636, 31, 15053, 289, 1094, 19, 4483, 13, 11641, 13139, 17, 523, 68, 2756, 34, 1618, 19, 30270, 14, 204, 264, 4474, 31, 421, 289, 1094, 19, 23212, 374, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 283, 1954, 327, 19, 1115, 19, 417, 98, 338, 463, 327, 19, 38936, 19, 417, 2495, 204, 204, 8, 1094, 20, 7199, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 16070, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 3477, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 3477, 677, 588, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1094, 20, 4865, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 2617, 7199, 532, 16070, 204, 204, 676, 7050, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2384, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 2384, 677, 588, 19, 204, 268, 5686, 322, 325, 330, 334, 2384, 677, 5686, 19, 204, 268, 3477, 322, 18035, 330, 334, 2384, 677, 3477, 302, 5576, 19, 204, 264, 320, 204, 264, 588, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 264, 5686, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 14, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 3477, 31, 16070, 289, 1094, 19, 4483, 13, 18035, 17, 523, 68, 2756, 34, 1618, 19, 30270, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 0, 531, 589, 8991, 367, 532, 10297, 204, 204, 531, 1498, 532, 30189, 17, 1535, 204, 531, 303, 638, 704, 532, 497, 68, 873, 204, 531, 38263, 19, 5491, 532, 31153, 68, 24519, 1815, 3322, 204, 531, 38263, 19, 1234, 532, 47290, 204, 531, 38263, 19, 19951, 19, 7158, 532, 12810, 5655, 204, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 532, 24033, 31898, 2628, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 2005, 532, 1736, 10771, 31623, 17, 1736, 10771, 5655, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 748, 10771, 68, 1087, 532, 322, 204, 264, 1736, 10771, 11896, 17, 204, 264, 1736, 10771, 11896, 3646, 5364, 14324, 17, 204, 264, 1736, 10771, 11896, 5346, 14324, 17, 204, 264, 1736, 10771, 11896, 23526, 5655, 17, 204, 264, 1736, 10771, 17155, 17, 204, 264, 1736, 10771, 17155, 15695, 9070, 17, 204, 264, 1736, 10771, 27110, 11896, 17, 204, 264, 1736, 10771, 22591, 13773, 17, 204, 264, 1736, 10771, 18928, 14324, 17, 204, 264, 650, 2553, 50, 905, 1560, 2115, 7472, 811, 17, 204, 14, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 1087, 68, 2788, 532, 18674, 989, 204, 531, 2363, 68, 7027, 19, 5164, 4229, 410, 19, 5164, 4229, 410, 532, 322, 204, 264, 33251, 68, 932, 68, 1424, 68, 1181, 17, 204, 264, 8845, 68, 417, 68, 1424, 68, 1181, 17, 204, 14, 204, 204, 8, 968, 1187, 2558, 348, 4037, 12996, 204, 5346, 14324, 289, 30189, 13, 204, 264, 388, 5346, 14324, 528, 204, 264, 1736, 10771, 11896, 5346, 14324, 17, 204, 264, 1736, 10771, 17155, 17, 204, 264, 1736, 10771, 11896, 3646, 5364, 14324, 17, 204, 264, 1736, 10771, 11896, 17, 204, 264, 1736, 10771, 27110, 11896, 17, 204, 264, 1736, 10771, 11896, 23526, 5655, 17, 204, 264, 1736, 10771, 17155, 15695, 9070, 17, 204, 264, 1736, 10771, 18928, 14324, 17, 204, 14, 204, 204, 11896, 4545, 289, 30189, 13, 204, 264, 388, 11896, 4545, 528, 1736, 10771, 11896, 5346, 14324, 17, 650, 2553, 50, 905, 1560, 2115, 7472, 811, 17, 1736, 10771, 22591, 13773, 204, 14, 204, 204, 204, 461, 1020, 68, 1849, 68, 1424, 68, 644, 13, 644, 31, 394, 17, 1842, 31, 458, 64, 5346, 14324, 694, 393, 1535, 64, 5346, 14324, 744, 204, 264, 320, 204, 264, 1752, 437, 1103, 560, 1163, 896, 19, 204, 204, 264, 457, 31, 204, 264, 896, 322, 325, 330, 334, 896, 311, 1813, 348, 19, 204, 264, 1842, 322, 655, 64, 5346, 14324, 1037, 334, 458, 302, 1842, 311, 1813, 292, 19, 204, 204, 264, 475, 31, 204, 264, 1535, 64, 5346, 14324, 744, 334, 1193, 1103, 521, 443, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 348, 4037, 12996, 204, 264, 407, 1682, 1802, 1849, 348, 1103, 292, 1842, 397, 1103, 19, 325, 2683, 564, 896, 659, 443, 14, 204, 204, 204, 461, 1020, 68, 1849, 68, 1424, 68, 876, 13, 876, 31, 421, 17, 1842, 31, 458, 64, 11896, 4545, 694, 393, 1535, 64, 11896, 4545, 744, 204, 264, 320, 204, 264, 1752, 437, 1103, 560, 1163, 700, 19, 204, 204, 264, 457, 31, 204, 264, 700, 322, 339, 330, 334, 700, 311, 1813, 348, 19, 204, 264, 1842, 322, 655, 64, 11896, 4545, 1037, 334, 458, 302, 1842, 311, 1813, 292, 19, 204, 204, 264, 475, 31, 204, 264, 1535, 64, 11896, 4545, 744, 334, 1193, 1103, 521, 443, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 1974, 458, 6459, 348, 4037, 12996, 204, 264, 407, 1682, 1802, 1849, 348, 1103, 292, 1842, 397, 1103, 19, 31161, 8713, 4545, 564, 700, 659, 443, 14, 204, 204, 204, 461, 2270, 68, 4320, 68, 481, 13, 4320, 14, 393, 18674, 989, 31, 204, 264, 320, 204, 264, 4908, 437, 18674, 989, 726, 497, 437, 2901, 19, 204, 204, 264, 457, 31, 204, 264, 2901, 31, 334, 2901, 311, 2270, 497, 19, 204, 204, 264, 475, 31, 204, 264, 18674, 989, 31, 334, 5082, 18674, 989, 726, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1986, 424, 497, 2901, 204, 268, 4578, 289, 497, 68, 873, 13, 3543, 10771, 31623, 17, 2901, 19, 481, 1166, 8034, 3808, 204, 268, 33251, 68, 1270, 289, 322, 204, 305, 497, 68, 873, 13, 3543, 10771, 5655, 17, 2901, 19, 481, 1166, 748, 10771, 68, 1270, 3808, 204, 305, 397, 2901, 19, 481, 1166, 748, 10771, 68, 1270, 1339, 353, 508, 443, 204, 305, 902, 443, 204, 268, 1179, 204, 268, 13285, 289, 497, 68, 873, 13, 4729, 31898, 2628, 17, 2901, 19, 481, 1166, 1915, 3808, 204, 204, 268, 314, 666, 18674, 989, 726, 204, 268, 407, 18674, 989, 13, 8034, 34, 8034, 17, 33251, 68, 1270, 34, 748, 10771, 68, 1270, 17, 13285, 34, 1915, 17, 7135, 68, 1087, 34, 3170, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 204, 268, 456, 13, 75, 7, 596, 5343, 2901, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 204, 461, 34477, 68, 876, 13, 876, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 14796, 324, 273, 700, 311, 273, 933, 19, 204, 204, 264, 457, 31, 204, 264, 700, 322, 339, 330, 334, 700, 311, 34477, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 4777, 21457, 700, 19, 204, 264, 320, 204, 264, 314, 1974, 13885, 2231, 348, 4037, 12996, 204, 264, 407, 700, 397, 700, 962, 7569, 902, 700, 338, 7569, 204, 204, 204, 461, 353, 68, 4115, 68, 9078, 270, 13, 481, 31, 18674, 989, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 437, 33251, 353, 437, 3585, 2407, 270, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 8872, 989, 330, 334, 33251, 424, 19, 204, 204, 264, 475, 31, 204, 264, 1109, 31, 959, 397, 275, 33251, 353, 437, 3585, 2407, 270, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 13885, 2231, 348, 4037, 12996, 204, 264, 407, 322, 204, 268, 424, 19, 748, 10771, 68, 1270, 353, 508, 443, 204, 268, 329, 33251, 68, 932, 68, 1424, 68, 1181, 19, 505, 13, 481, 19, 748, 10771, 68, 1270, 19, 748, 10771, 2191, 14, 564, 388, 41442, 68, 4284, 23043, 2613, 1053, 7, 204, 264, 1179, 204, 204, 204, 461, 2270, 68, 3075, 68, 1270, 13, 5271, 68, 359, 31, 394, 17, 424, 31, 18674, 989, 14, 393, 12810, 5655, 31, 204, 264, 320, 204, 264, 4908, 273, 12810, 5655, 726, 497, 437, 2901, 19, 204, 204, 264, 457, 31, 204, 264, 2220, 68, 359, 322, 325, 330, 334, 2220, 1222, 302, 275, 2322, 19, 204, 264, 424, 322, 8872, 989, 330, 334, 2901, 424, 19, 204, 204, 264, 475, 31, 204, 264, 12810, 5655, 31, 334, 5082, 12810, 5655, 726, 19, 204, 264, 320, 204, 264, 314, 1986, 424, 497, 2901, 204, 264, 20972, 68, 417, 289, 424, 19, 748, 10771, 68, 1270, 19, 417, 397, 424, 19, 748, 10771, 68, 1270, 902, 2220, 68, 359, 204, 264, 17659, 289, 8845, 68, 417, 68, 1424, 68, 1181, 19, 505, 13, 481, 19, 748, 10771, 68, 1270, 19, 13461, 14, 397, 424, 19, 748, 10771, 68, 1270, 902, 443, 204, 264, 570, 289, 424, 19, 748, 10771, 68, 1270, 19, 809, 397, 424, 19, 748, 10771, 68, 1270, 902, 443, 204, 204, 264, 314, 666, 12810, 5655, 726, 204, 264, 407, 12810, 5655, 13, 204, 268, 20206, 2508, 13, 23210, 17, 2220, 68, 359, 15740, 204, 268, 588, 34, 18418, 68, 417, 17, 204, 268, 17659, 34, 34134, 17, 204, 268, 570, 34, 809, 17, 204, 264, 1179, 204, 204, 204, 461, 636, 68, 4375, 68, 416, 68, 7125, 13, 644, 31, 394, 14, 393, 927, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 763, 275, 2350, 329, 8834, 348, 273, 896, 19, 204, 204, 264, 457, 31, 204, 264, 896, 322, 325, 330, 334, 896, 311, 636, 275, 2350, 329, 8834, 348, 19, 204, 204, 264, 475, 31, 204, 264, 927, 64, 325, 17, 394, 744, 334, 2350, 329, 8834, 348, 275, 896, 19, 204, 264, 320, 204, 264, 314, 1974, 955, 348, 4037, 12996, 204, 264, 2350, 68, 28968, 289, 463, 204, 268, 388, 11001, 559, 322, 11001, 68, 24519, 1815, 3322, 17, 388, 82, 511, 31, 708, 703, 9645, 3186, 204, 268, 388, 5917, 1143, 559, 4401, 55, 13021, 528, 388, 82, 511, 31, 15941, 18, 24, 73, 18, 14812, 3186, 204, 264, 1211, 204, 264, 407, 2350, 68, 28968, 19, 505, 13, 644, 17, 322, 13672, 36630, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2901, 204, 264, 2901, 289, 463, 204, 268, 388, 481, 559, 463, 204, 305, 388, 8034, 559, 14170, 204, 305, 388, 748, 10771, 68, 1270, 559, 2832, 748, 10771, 2191, 559, 388, 41442, 68, 4284, 23043, 2613, 1053, 528, 388, 13461, 559, 388, 31484, 528, 388, 809, 559, 388, 1655, 7832, 204, 305, 388, 1915, 559, 14170, 204, 268, 1211, 204, 264, 1211, 204, 204, 264, 314, 4908, 18674, 989, 726, 204, 264, 2901, 68, 481, 289, 2270, 68, 4320, 68, 481, 13, 4320, 14, 204, 204, 264, 314, 778, 397, 33251, 353, 3585, 2407, 270, 204, 264, 353, 68, 638, 289, 353, 68, 4115, 68, 9078, 270, 13, 4320, 68, 481, 14, 204, 264, 456, 13, 75, 7, 4947, 3585, 2407, 270, 31, 463, 360, 68, 638, 743, 204, 204, 264, 314, 4908, 12810, 5655, 726, 204, 264, 2322, 68, 1270, 289, 2270, 68, 3075, 68, 1270, 499, 5271, 68, 359, 528, 2901, 68, 481, 14, 204, 264, 456, 13, 75, 7, 11588, 19823, 31, 463, 3075, 68, 1270, 743, 204, 204, 264, 314, 763, 2350, 329, 8834, 348, 273, 896, 204, 264, 2350, 17, 8834, 289, 636, 68, 4375, 68, 416, 68, 7125, 499, 11001, 431, 204, 264, 456, 13, 75, 7, 12885, 31, 463, 4375, 1522, 44760, 31, 463, 7125, 743, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 1807, 68, 2555, 68, 11382, 13, 204, 264, 14992, 68, 481, 31, 645, 19, 766, 17, 716, 264, 3091, 22, 31, 645, 19, 766, 17, 716, 264, 3091, 23, 31, 645, 19, 766, 17, 716, 264, 20549, 31, 458, 17, 716, 264, 4521, 31, 645, 19, 766, 17, 716, 264, 8648, 31, 458, 17, 716, 264, 4368, 31, 1513, 19, 11600, 17, 716, 264, 3397, 31, 394, 17, 716, 264, 3397, 68, 42129, 31, 394, 17, 716, 264, 832, 68, 88, 31, 394, 17, 716, 264, 3299, 68, 481, 31, 645, 19, 766, 289, 443, 17, 716, 264, 3299, 68, 7022, 31, 645, 19, 766, 289, 443, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 3045, 5926, 1356, 348, 14992, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 14992, 68, 481, 322, 1123, 19, 766, 330, 472, 9614, 424, 311, 1807, 19, 204, 264, 3091, 22, 322, 1123, 19, 766, 330, 19363, 368, 424, 311, 1807, 19, 204, 264, 3091, 23, 322, 1123, 19, 766, 330, 19363, 435, 424, 311, 1807, 19, 204, 264, 20549, 322, 655, 330, 10932, 11377, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 4368, 322, 14480, 19, 11600, 330, 14568, 311, 1807, 523, 19, 204, 264, 3397, 322, 325, 330, 20805, 1222, 19, 204, 264, 3397, 68, 42129, 322, 325, 330, 20805, 13810, 19, 204, 264, 832, 68, 88, 322, 325, 330, 2621, 311, 424, 19, 204, 264, 3299, 68, 481, 322, 1123, 19, 766, 17, 1448, 330, 13448, 424, 311, 1807, 19, 1243, 311, 443, 19, 204, 264, 3299, 68, 7022, 322, 1123, 19, 766, 17, 1448, 330, 13448, 6710, 311, 1807, 19, 1243, 311, 443, 19, 204, 204, 264, 475, 31, 204, 264, 927, 31, 4899, 329, 304, 1676, 1153, 424, 19, 204, 264, 320, 204, 264, 314, 9886, 8648, 204, 264, 906, 5892, 68, 13352, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 13352, 14, 204, 204, 264, 314, 3045, 424, 204, 264, 906, 1657, 68, 481, 13, 26357, 68, 481, 17, 4521, 17, 8648, 17, 5405, 34, 21, 19, 22, 14, 204, 264, 906, 1657, 68, 481, 13, 4841, 23, 17, 4521, 17, 8648, 14, 204, 264, 906, 1657, 68, 33693, 13, 33693, 17, 4521, 17, 8648, 14, 204, 204, 264, 314, 3045, 3299, 424, 397, 2755, 204, 264, 397, 3299, 68, 481, 353, 508, 443, 31, 204, 268, 906, 1657, 68, 929, 68, 481, 13, 929, 68, 481, 17, 4521, 17, 8648, 17, 3299, 68, 7022, 14, 204, 204, 264, 314, 1359, 1724, 329, 1769, 204, 264, 906, 574, 68, 1778, 68, 416, 68, 2185, 13, 13352, 17, 3397, 17, 3397, 68, 42129, 14, 204, 204, 264, 314, 763, 958, 204, 264, 958, 289, 906, 505, 68, 1935, 13, 7208, 14, 204, 204, 264, 314, 1426, 958, 204, 264, 397, 958, 564, 379, 78, 597, 204, 268, 314, 592, 8311, 31699, 204, 268, 304, 1676, 1153, 68, 481, 289, 906, 44717, 68, 3450, 13, 204, 305, 4521, 17, 716, 305, 3091, 22, 17, 716, 305, 3091, 23, 17, 716, 305, 832, 68, 88, 17, 716, 305, 3397, 17, 716, 305, 3397, 68, 42129, 17, 716, 305, 8648, 17, 716, 305, 4368, 17, 716, 305, 3299, 68, 481, 204, 268, 1179, 204, 268, 407, 1807, 68, 2555, 68, 11382, 13, 204, 305, 14992, 68, 481, 17, 716, 305, 3091, 22, 17, 716, 305, 3091, 23, 17, 716, 305, 20549, 17, 716, 305, 4521, 17, 716, 305, 8648, 17, 716, 305, 4368, 17, 716, 305, 3397, 17, 716, 305, 3397, 68, 42129, 17, 716, 305, 832, 68, 88, 17, 716, 305, 3299, 68, 481, 17, 716, 305, 3299, 68, 7022, 204, 268, 1179, 204, 264, 1677, 958, 292, 551, 21, 17, 368, 744, 204, 268, 314, 455, 958, 329, 304, 1676, 1153, 424, 204, 268, 407, 958, 17, 1306, 204, 204, 461, 906, 5892, 68, 13352, 13, 13352, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9886, 8648, 19, 204, 204, 264, 4435, 31, 204, 264, 8648, 322, 655, 330, 31465, 311, 4199, 19, 204, 264, 320, 204, 264, 314, 9886, 8648, 204, 264, 8648, 64, 21, 1664, 5892, 374, 204, 264, 8648, 64, 22, 1664, 5892, 374, 204, 204, 461, 906, 1657, 68, 481, 13, 481, 31, 645, 19, 766, 17, 4521, 31, 645, 19, 766, 17, 8648, 31, 458, 17, 5405, 31, 818, 289, 368, 19, 21, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 424, 322, 1123, 19, 766, 330, 1594, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 5405, 322, 996, 17, 1448, 330, 3957, 27275, 19, 1243, 311, 368, 19, 21, 19, 204, 264, 320, 204, 264, 314, 3045, 424, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 17, 424, 17, 5405, 34, 4548, 14, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 17, 424, 17, 5405, 34, 4548, 14, 204, 204, 461, 906, 1657, 68, 33693, 13, 33693, 31, 458, 17, 4521, 31, 645, 19, 766, 17, 8648, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 20549, 19, 204, 204, 264, 4435, 31, 204, 264, 20549, 322, 655, 330, 10932, 11377, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 320, 204, 264, 314, 3045, 20549, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 17, 20549, 17, 379, 80, 45232, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 17, 20549, 17, 379, 80, 45232, 204, 204, 461, 906, 1657, 68, 929, 68, 481, 13, 929, 68, 481, 31, 645, 19, 766, 17, 4521, 31, 645, 19, 766, 17, 8648, 31, 458, 17, 3299, 68, 7022, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 3299, 424, 19, 204, 204, 264, 4435, 31, 204, 264, 3299, 68, 481, 322, 1123, 19, 766, 330, 13448, 424, 311, 1807, 19, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 1807, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 1807, 523, 19, 204, 264, 3299, 68, 7022, 322, 1123, 19, 766, 330, 13448, 6710, 311, 1807, 19, 204, 264, 320, 204, 264, 314, 3045, 3299, 424, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 17, 3299, 68, 481, 17, 379, 76, 18, 12102, 5405, 34, 21, 19, 23, 14, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 17, 3299, 68, 481, 17, 379, 76, 18, 12102, 5405, 34, 21, 19, 23, 14, 204, 264, 8648, 64, 21, 1664, 1657, 13, 5192, 64, 929, 68, 7022, 648, 3299, 68, 481, 3460, 8893, 3299, 68, 7022, 648, 379, 3216, 491, 5405, 34, 21, 19, 23, 14, 204, 264, 8648, 64, 22, 1664, 1657, 13, 5192, 64, 929, 68, 7022, 648, 3299, 68, 481, 3460, 8893, 3299, 68, 7022, 648, 379, 3216, 491, 5405, 34, 21, 19, 23, 14, 204, 204, 461, 906, 574, 68, 1778, 68, 416, 68, 2185, 13, 13352, 31, 458, 17, 3397, 31, 394, 17, 3397, 68, 42129, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1359, 1724, 329, 1769, 19, 204, 204, 264, 4435, 31, 204, 264, 8648, 322, 655, 330, 31465, 311, 758, 1724, 329, 1769, 523, 19, 204, 264, 3397, 322, 325, 330, 20805, 1222, 19, 204, 264, 3397, 68, 42129, 322, 325, 330, 20805, 13810, 19, 204, 264, 320, 204, 264, 314, 1359, 1724, 329, 1769, 204, 264, 8648, 64, 21, 1664, 574, 68, 1778, 13, 75, 12, 5876, 616, 14509, 6846, 68, 42129, 20212, 463, 6846, 3501, 204, 264, 8648, 64, 21, 1664, 574, 68, 7246, 499, 5058, 299, 26231, 592, 40440, 431, 204, 264, 8648, 64, 22, 1664, 574, 68, 7246, 499, 837, 6442, 19, 27097, 5926, 3094, 348, 4249, 36, 8931, 31, 226, 500, 14, 397, 1236, 226, 368, 14, 397, 18082, 17, 296, 14, 311, 18679, 31699, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 431, 204, 204, 461, 906, 505, 68, 1935, 13, 7208, 31, 1513, 19, 11600, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 958, 19, 204, 204, 264, 4435, 31, 204, 264, 4368, 322, 14480, 19, 11600, 330, 14568, 311, 636, 958, 497, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 4899, 19, 204, 264, 320, 204, 264, 314, 763, 958, 204, 264, 314, 1058, 741, 353, 508, 7306, 292, 275, 800, 1576, 17, 754, 490, 677, 14534, 311, 444, 7306, 13762, 204, 264, 1879, 204, 204, 461, 906, 44717, 68, 3450, 13, 204, 264, 4521, 31, 645, 19, 766, 17, 716, 264, 3091, 22, 31, 645, 19, 766, 17, 716, 264, 3091, 23, 31, 645, 19, 766, 17, 716, 264, 832, 68, 88, 31, 394, 17, 716, 264, 3397, 31, 394, 17, 716, 264, 3397, 68, 42129, 31, 394, 17, 716, 264, 8648, 31, 458, 17, 716, 264, 4368, 31, 1513, 19, 11600, 17, 716, 264, 3299, 68, 481, 31, 645, 19, 766, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 592, 8311, 31699, 19, 204, 204, 264, 4435, 31, 204, 264, 4521, 322, 1123, 19, 766, 330, 15811, 424, 311, 18679, 19, 204, 264, 3091, 22, 322, 1123, 19, 766, 330, 19363, 368, 424, 311, 18679, 19, 204, 264, 3091, 23, 322, 1123, 19, 766, 330, 19363, 435, 424, 311, 18679, 19, 204, 264, 832, 68, 88, 322, 325, 330, 2621, 311, 424, 19, 204, 264, 3397, 322, 325, 330, 20805, 1222, 19, 204, 264, 3397, 68, 42129, 322, 325, 330, 20805, 13810, 19, 204, 264, 8648, 322, 655, 330, 31465, 311, 18679, 523, 19, 204, 264, 4368, 322, 14480, 19, 11600, 330, 14568, 311, 18679, 523, 19, 204, 264, 3299, 68, 481, 322, 1123, 19, 766, 330, 13448, 424, 311, 18679, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 791, 1676, 1153, 424, 19, 204, 264, 320, 204, 264, 314, 1058, 741, 353, 508, 7306, 292, 275, 800, 1576, 17, 754, 490, 677, 14534, 311, 444, 7306, 13762, 204, 264, 1879, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1763, 424, 204, 264, 14992, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 3091, 22, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 3091, 23, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 20549, 289, 645, 19, 2017, 19, 2329, 13, 2051, 14, 204, 264, 4521, 289, 645, 19, 8268, 13, 2051, 14, 204, 264, 8648, 289, 551, 14480, 19, 14196, 13, 23, 17, 368, 17, 368, 659, 1513, 19, 14196, 13, 23, 17, 368, 17, 435, 2395, 204, 264, 4368, 289, 1513, 19, 7208, 374, 204, 264, 3397, 289, 388, 16920, 22, 7, 204, 264, 3397, 68, 42129, 289, 388, 43640, 7593, 22, 7, 204, 264, 832, 68, 88, 289, 6040, 546, 20, 633, 20, 481, 7, 204, 264, 3299, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 931, 14, 204, 264, 3299, 68, 7022, 289, 645, 19, 2017, 19, 5574, 13, 21, 17, 1607, 17, 931, 14, 204, 204, 264, 314, 4889, 275, 741, 204, 264, 958, 17, 304, 1676, 1153, 68, 481, 289, 1807, 68, 2555, 68, 11382, 13, 204, 268, 14992, 68, 481, 17, 716, 268, 3091, 22, 17, 716, 268, 3091, 23, 17, 716, 268, 20549, 17, 716, 268, 4521, 17, 716, 268, 8648, 17, 716, 268, 4368, 17, 716, 268, 3397, 17, 716, 268, 3397, 68, 42129, 17, 716, 268, 832, 68, 88, 17, 716, 268, 3299, 68, 481, 17, 716, 268, 3299, 68, 7022, 204, 264, 1179, 204, 204, 264, 314, 1198, 275, 958, 329, 304, 1676, 1153, 424, 204, 264, 456, 499, 2628, 2180, 958, 14, 204, 264, 456, 499, 1252, 1676, 1153, 1594, 2180, 304, 1676, 1153, 68, 481, 14, 204, 0, 658, 15678, 368, 8406, 3008, 19077, 204, 204, 51, 9962, 322, 51, 1283, 368, 329, 4236, 14, 2842, 10689, 275, 7751, 329, 529, 830, 22635, 348, 275, 1370, 3008, 19, 828, 275, 542, 302, 9962, 1466, 435, 17, 681, 17, 1132, 17, 2247, 17, 521, 4236, 322, 22305, 302, 435, 659, 275, 1370, 3008, 7049, 1784, 444, 32628, 31, 368, 274, 3384, 13909, 9790, 1673, 3384, 17, 435, 307, 2317, 9790, 435, 307, 497, 275, 1673, 17, 6623, 19, 3355, 17, 1422, 353, 1236, 21672, 496, 275, 542, 302, 9962, 1784, 444, 273, 2347, 302, 435, 19, 334, 9056, 353, 311, 2281, 273, 2875, 15754, 4818, 496, 33152, 275, 542, 302, 9962, 448, 273, 3918, 329, 12015, 275, 4672, 368, 3868, 880, 19, 204, 204, 2841, 1856, 444, 368, 17, 435, 17, 681, 17, 1132, 17, 521, 2247, 9962, 322, 5747, 302, 435, 14, 292, 275, 435, 307, 4672, 19, 204, 204, 1380, 5696, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 732, 275, 2631, 4053, 1484, 31, 204, 204, 3691, 4655, 204, 34566, 610, 12341, 322, 204, 226, 15754, 1164, 14088, 284, 204, 226, 7281, 19431, 204, 659, 469, 12341, 322, 204, 226, 15754, 6983, 60, 5551, 2941, 17, 16495, 23529, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 18, 22710, 5551, 16, 22, 5501, 17, 204, 226, 16495, 23529, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 846, 85, 204, 226, 7281, 19431, 17, 610, 204, 226, 11538, 8298, 2213, 16960, 14641, 13566, 37530, 38076, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 18, 22, 204, 14, 204, 7097, 716, 226, 346, 4526, 716, 264, 22023, 1888, 5501, 37530, 85, 9273, 284, 35, 22, 14363, 1888, 6983, 60, 5551, 16, 85, 18, 1129, 85, 716, 226, 24941, 12341, 388, 7313, 314, 528, 204, 226, 346, 4526, 716, 264, 22023, 1888, 5501, 35, 85, 9273, 284, 35, 22, 14363, 1888, 379, 13343, 35706, 15952, 2941, 15952, 379, 25821, 311, 15678, 435, 12, 204, 264, 22023, 1888, 284, 34, 22, 14363, 1888, 379, 13343, 18, 22, 353, 273, 1407, 15794, 19820, 204, 264, 27429, 1599, 379, 13343, 35706, 15952, 2941, 15952, 379, 9790, 11582, 35706, 15952, 5501, 204, 226, 24941, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12341, 388, 17497, 3008, 15678, 368, 27386, 880, 7, 204, 28016, 469, 17, 610, 204, 21079, 16960, 368, 12057, 56, 480, 12087, 17, 2941, 204, 3691, 204, 204, 1380, 23967, 204, 204, 673, 17764, 3237, 867, 311, 4368, 685, 928, 9962, 1856, 444, 10974, 329, 928, 7493, 14224, 311, 275, 15678, 435, 19, 20535, 496, 572, 874, 273, 2347, 302, 435, 542, 302, 9962, 19, 5512, 1913, 368, 274, 3384, 13909, 4238, 275, 5533, 368, 274, 17, 1913, 435, 307, 9790, 5533, 435, 307, 17, 6623, 19, 828, 1422, 529, 392, 9962, 17, 1675, 572, 1120, 874, 392, 20, 23, 7694, 19, 1058, 353, 275, 21705, 1322, 19, 2935, 397, 572, 874, 887, 9962, 36, 1785, 1856, 881, 435, 9803, 9962, 311, 1622, 1481, 719, 1001, 275, 542, 302, 9962, 311, 275, 8232, 2347, 302, 435, 496, 353, 3114, 521, 1936, 311, 392, 19, 1765, 887, 9962, 17, 572, 4672, 719, 311, 1132, 19, 17789, 435, 9803, 9962, 1856, 444, 24117, 4238, 1913, 435, 9962, 17, 329, 808, 4658, 451, 437, 2073, 928, 9962, 1856, 14224, 311, 275, 15678, 435, 2900, 10974, 19, 204, 204, 2310, 1376, 19798, 3884, 17, 13083, 17, 329, 16495, 23529, 3263, 311, 636, 275, 1682, 2347, 302, 435, 348, 1169, 4835, 392, 31, 204, 204, 3691, 4655, 204, 38076, 13, 23, 17, 4552, 3884, 13, 7190, 13, 23, 17, 85, 3694, 204, 3691, 204, 204, 1380, 1165, 1974, 26729, 204, 204, 3070, 887, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 338, 31694, 582, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 24, 9790, 11582, 18, 27, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 25, 9790, 11582, 18, 26, 305, 1152, 204, 97, 268, 1152, 11582, 18, 22, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 23, 25821, 311, 15678, 435, 226, 1152, 204, 204, 3070, 1168, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 48002, 5745, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 23, 9790, 11582, 18, 28, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 24, 9790, 11582, 18, 27, 305, 1152, 204, 97, 571, 6288, 1152, 11582, 18, 25, 9790, 11582, 18, 26, 305, 1152, 204, 97, 268, 1152, 11582, 18, 22, 25821, 311, 15678, 435, 226, 1152, 204, 204, 3070, 1132, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 48002, 27329, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 22, 9790, 11582, 18, 29, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 23, 9790, 11582, 18, 28, 305, 1152, 204, 97, 571, 6288, 1152, 11582, 18, 24, 9790, 11582, 18, 27, 305, 1152, 204, 97, 681, 6288, 1152, 11582, 18, 25, 9790, 11582, 18, 26, 305, 1152, 204, 204, 3070, 368, 3384, 322, 1625, 1370, 33003, 4331, 330, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 338, 31694, 582, 1152, 204, 97, 268, 1152, 11582, 18, 22, 353, 273, 1407, 15794, 6, 8023, 1152, 204, 204, 3070, 2958, 9962, 31, 204, 204, 97, 5180, 314, 1152, 8406, 3008, 15678, 368, 27386, 880, 6288, 1152, 204, 97, 22988, 1152, 338, 31694, 582, 1152, 204, 97, 368, 6288, 1152, 11582, 18, 27, 9790, 11582, 18, 1641, 305, 1152, 204, 97, 435, 6288, 1152, 11582, 18, 28, 9790, 11582, 18, 1003, 305, 1152, 204, 97, 571, 6288, 1152, 11582, 18, 29, 9790, 11582, 18, 30, 305, 1152, 204, 97, 268, 1152, 11582, 18, 22, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 23, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 24, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 25, 25821, 311, 15678, 435, 226, 1152, 204, 97, 268, 1152, 11582, 18, 26, 25821, 311, 15678, 435, 226, 1152, 0, 647, 12725, 23, 204, 647, 3805, 448, 1246, 204, 647, 1361, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 461, 2601, 68, 633, 68, 2819, 13, 204, 264, 2442, 31, 394, 17, 1104, 31, 394, 17, 575, 31, 394, 17, 1482, 31, 394, 204, 14, 393, 12725, 23, 19, 2602, 31, 204, 264, 320, 204, 264, 6370, 311, 275, 19653, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 2442, 322, 325, 330, 334, 2442, 302, 275, 1104, 19, 204, 264, 338, 1104, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 264, 338, 575, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1727, 19, 204, 264, 338, 1482, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1727, 19, 204, 204, 264, 475, 31, 204, 264, 338, 12725, 23, 19, 2602, 31, 334, 1104, 1727, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4496, 273, 2085, 4000, 311, 4897, 275, 1727, 353, 7106, 204, 268, 407, 12725, 23, 19, 2933, 13, 204, 305, 283, 7, 2463, 2508, 2463, 98, 44672, 2508, 2819, 98, 575, 2508, 816, 98, 1482, 2508, 1989, 2495, 204, 268, 1179, 204, 264, 827, 12725, 23, 19, 596, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 2601, 311, 1104, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 532, 68, 481, 68, 531, 68, 2039, 13, 204, 264, 5828, 31, 12725, 23, 19, 2602, 17, 510, 68, 546, 31, 394, 17, 1435, 68, 417, 31, 394, 17, 2630, 31, 458, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4390, 424, 497, 273, 2306, 510, 1025, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 5828, 322, 27288, 23, 19, 2602, 330, 334, 1104, 1727, 19, 204, 264, 338, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 264, 338, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 532, 424, 1025, 19, 204, 264, 338, 2630, 322, 655, 330, 334, 2630, 311, 532, 424, 1025, 19, 204, 264, 320, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 2306, 510, 1025, 273, 3805, 3135, 204, 268, 5986, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 17, 1112, 68, 982, 34, 1975, 14, 204, 822, 268, 314, 666, 273, 3370, 726, 311, 4490, 4053, 6752, 204, 268, 440, 5828, 19, 4322, 374, 448, 3370, 31, 204, 305, 314, 1861, 1048, 848, 1237, 292, 275, 3135, 204, 305, 348, 6849, 17, 1237, 292, 5986, 19, 22091, 1293, 204, 485, 810, 31, 204, 895, 314, 666, 273, 927, 302, 1019, 311, 4482, 1025, 275, 1435, 204, 895, 1019, 289, 927, 13, 937, 64, 3071, 66, 348, 1837, 292, 2630, 14, 204, 20943, 895, 314, 666, 275, 20832, 1484, 204, 895, 1484, 289, 283, 7, 14483, 12377, 463, 1867, 68, 417, 98, 8267, 491, 3759, 1541, 13, 3786, 17667, 12804, 8267, 491, 3759, 1541, 8031, 10, 88, 839, 540, 1245, 13, 3786, 602, 9222, 204, 20943, 895, 314, 5635, 275, 20832, 1484, 204, 895, 3370, 19, 4118, 13, 2120, 17, 1019, 14, 204, 485, 827, 12725, 23, 19, 596, 448, 318, 31, 204, 895, 1361, 19, 718, 13, 75, 7, 3504, 311, 532, 424, 31, 463, 74, 743, 204, 305, 314, 8588, 275, 3731, 204, 305, 5828, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 532, 424, 31, 463, 74, 743, 204, 204, 461, 4032, 68, 11396, 291, 336, 68, 1090, 865, 13, 6519, 31, 12725, 23, 19, 2602, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6117, 378, 22441, 496, 770, 508, 874, 1169, 3610, 2388, 19, 204, 204, 264, 457, 31, 204, 264, 338, 5828, 322, 27288, 23, 19, 2602, 330, 334, 1104, 1727, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 3370, 726, 311, 4490, 4053, 6752, 204, 268, 440, 5828, 19, 4322, 374, 448, 3370, 31, 204, 305, 314, 666, 275, 21669, 1484, 204, 305, 1484, 289, 388, 16908, 7281, 378, 22441, 8888, 309, 3391, 920, 7845, 5697, 322, 7097, 309, 3391, 920, 7281, 13453, 13287, 204, 3123, 305, 314, 5635, 275, 21669, 1484, 204, 305, 3370, 19, 4118, 13, 2120, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 5828, 19, 4827, 374, 204, 264, 827, 12725, 23, 19, 596, 448, 318, 31, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 4032, 44285, 336, 378, 22441, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 2442, 289, 388, 7714, 7, 204, 264, 1104, 289, 388, 2408, 544, 730, 68, 1479, 7, 204, 264, 575, 289, 388, 15315, 7, 204, 264, 1482, 289, 388, 1989, 7, 226, 314, 4546, 440, 1214, 2641, 1482, 204, 264, 378, 22441, 68, 553, 68, 546, 289, 388, 3549, 20, 481, 20, 1090, 865, 19, 2039, 7, 204, 264, 2388, 68, 553, 68, 546, 289, 388, 3549, 20, 481, 20, 1090, 84, 68, 2936, 19, 2039, 7, 204, 204, 264, 314, 6370, 311, 275, 1104, 204, 264, 440, 2601, 68, 633, 68, 2819, 13, 2463, 17, 1104, 17, 575, 17, 1482, 14, 448, 5828, 31, 204, 268, 810, 31, 204, 305, 314, 4390, 378, 22441, 424, 204, 305, 532, 68, 481, 68, 531, 68, 2039, 13, 204, 485, 5828, 17, 378, 22441, 68, 553, 68, 546, 17, 388, 1090, 865, 528, 3134, 1368, 88, 920, 528, 388, 5714, 528, 388, 2814, 88, 528, 388, 71, 36166, 528, 388, 1923, 1004, 528, 388, 655, 2895, 528, 388, 16707, 580, 81, 1339, 204, 305, 1179, 204, 305, 314, 4390, 2388, 424, 204, 305, 532, 68, 481, 68, 531, 68, 2039, 13, 204, 485, 5828, 17, 2388, 68, 553, 68, 546, 17, 388, 21144, 528, 3134, 1368, 88, 920, 528, 388, 3371, 920, 528, 388, 2226, 1339, 204, 305, 1179, 204, 305, 314, 6117, 44285, 336, 378, 22441, 204, 305, 4032, 68, 11396, 291, 336, 68, 1090, 865, 13, 6519, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 1361, 19, 718, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 1687, 368, 31, 8554, 275, 800, 741, 329, 275, 9684, 4090, 2089, 204, 673, 800, 741, 353, 686, 55, 13, 94, 14, 289, 688, 1209, 96, 24, 65, 2809, 469, 338, 681, 4773, 2883, 469, 4742, 334, 9684, 4090, 2089, 353, 1743, 1735, 3453, 1209, 96, 90, 1134, 91, 2277, 1633, 15795, 289, 688, 1209, 96, 91, 90, 12, 338, 33523, 12, 1134, 91, 67, 23, 4742, 204, 204, 658, 1687, 435, 31, 3291, 275, 9684, 4090, 311, 1020, 275, 5442, 302, 361, 13, 94, 14, 204, 1449, 1020, 686, 55, 5822, 94, 9852, 572, 3120, 275, 9684, 4090, 1273, 686, 90, 289, 571, 65, 2809, 469, 338, 681, 9, 329, 686, 91, 289, 688, 2883, 469, 2176, 10162, 17, 686, 90, 12, 289, 338, 24, 65, 2883, 469, 9, 329, 686, 91, 12, 289, 688, 2809, 469, 2176, 204, 204, 658, 1687, 571, 31, 16641, 275, 1019, 1025, 275, 9684, 4090, 2089, 204, 8758, 686, 90, 2543, 686, 91, 2543, 686, 90, 12, 2543, 329, 686, 91, 24152, 1025, 275, 9684, 4090, 2089, 4658, 451, 686, 55, 5822, 94, 14, 289, 688, 1209, 3164, 2883, 469, 2422, 24, 65, 2883, 469, 14, 338, 688, 2809, 469, 13, 24, 65, 2809, 469, 338, 681, 23706, 2883, 67, 23, 469, 4742, 204, 204, 658, 1687, 681, 31, 8730, 275, 2231, 204, 10714, 275, 7145, 17, 572, 636, 686, 55, 5822, 94, 14, 289, 688, 1209, 11775, 24, 65, 2883, 67, 23, 469, 338, 571, 65, 2809, 67, 23, 469, 465, 681, 65, 2809, 469, 4773, 2883, 67, 23, 469, 4742, 204, 204, 658, 1687, 720, 31, 14207, 5620, 974, 275, 6572, 1743, 2883, 67, 23, 469, 465, 688, 2809, 67, 23, 469, 289, 368, 9, 204, 4592, 1743, 2883, 67, 23, 469, 465, 688, 2809, 67, 23, 469, 289, 368, 2543, 1675, 14987, 24, 65, 2883, 67, 23, 469, 338, 571, 65, 2809, 67, 23, 469, 289, 338, 24, 3453, 2883, 67, 23, 469, 465, 688, 2809, 67, 23, 469, 14, 289, 338, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 24, 2176, 10162, 17, 686, 55, 5822, 94, 14, 289, 688, 1209, 11775, 24, 465, 681, 65, 2809, 469, 4773, 2883, 67, 23, 469, 4742, 204, 204, 673, 2423, 2073, 353, 31, 1743, 1209, 11775, 24, 465, 681, 65, 2809, 469, 4773, 2883, 67, 23, 469, 1617, 0, 531, 1498, 532, 1061, 17, 1535, 204, 204, 676, 13186, 11664, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 2092, 4209, 19, 204, 204, 264, 1532, 31, 204, 268, 3737, 322, 1665, 64, 325, 17, 1535, 64, 325, 3795, 332, 955, 302, 2072, 348, 275, 2092, 11689, 19, 204, 268, 1714, 322, 2107, 330, 332, 5168, 5850, 3855, 275, 2092, 11689, 353, 8905, 19, 204, 268, 30023, 322, 1665, 64, 325, 17, 26076, 1037, 332, 955, 302, 30023, 19, 204, 268, 456, 607, 322, 11279, 607, 330, 1346, 1014, 302, 275, 1198, 607, 850, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 13186, 11664, 850, 19, 204, 268, 320, 204, 268, 370, 19, 2645, 289, 463, 204, 305, 388, 10856, 559, 443, 17, 204, 305, 388, 16543, 68, 14746, 559, 443, 17, 204, 305, 388, 11472, 68, 4313, 559, 443, 17, 204, 305, 388, 11472, 68, 15134, 8573, 559, 443, 17, 204, 305, 388, 1129, 68, 7885, 559, 443, 17, 204, 305, 388, 1129, 68, 6921, 559, 443, 17, 204, 305, 388, 1129, 68, 2062, 559, 443, 17, 204, 305, 388, 23528, 68, 7885, 559, 443, 17, 204, 305, 388, 23528, 68, 6921, 559, 443, 17, 204, 305, 388, 7560, 559, 443, 17, 204, 305, 388, 14746, 68, 23199, 559, 443, 17, 204, 305, 388, 2290, 68, 1530, 68, 577, 559, 443, 17, 204, 305, 388, 932, 559, 443, 17, 226, 314, 14547, 32637, 68, 33945, 68, 52, 6480, 17, 31965, 52, 68, 52, 6480, 17, 12281, 204, 268, 1211, 204, 268, 370, 19, 1835, 289, 1078, 204, 204, 268, 370, 19, 18249, 289, 463, 204, 305, 388, 7270, 405, 559, 565, 40265, 5761, 10053, 2144, 204, 305, 388, 26188, 559, 346, 8514, 10053, 2144, 204, 305, 388, 81, 7270, 405, 559, 480, 48816, 8514, 10053, 2144, 204, 268, 1211, 204, 268, 370, 19, 2102, 607, 289, 1198, 607, 374, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 2092, 11689, 2072, 311, 275, 919, 510, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 553, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 440, 1451, 13, 1420, 68, 553, 17, 388, 92, 431, 448, 283, 31, 204, 485, 314, 3400, 275, 3494, 204, 485, 283, 19, 2206, 499, 11, 33945, 68, 52, 6480, 65, 83, 431, 204, 7933, 485, 314, 3400, 275, 2072, 204, 485, 348, 6941, 17, 700, 292, 370, 19, 2645, 19, 1996, 1293, 204, 895, 397, 700, 353, 508, 443, 31, 204, 2058, 283, 19, 2206, 13, 75, 7979, 89, 96, 2394, 98, 463, 876, 2277, 83, 431, 204, 7933, 485, 314, 3400, 275, 30023, 204, 485, 348, 4209, 292, 370, 19, 18249, 19, 1309, 1293, 204, 895, 397, 4209, 19, 1835, 31, 204, 2058, 4209, 19, 633, 68, 768, 13, 75, 14, 204, 7933, 485, 314, 3400, 275, 456, 607, 204, 485, 397, 370, 19, 2102, 607, 19, 1835, 31, 204, 895, 370, 19, 2102, 607, 19, 633, 68, 768, 13, 75, 14, 204, 7933, 485, 314, 3400, 275, 22479, 204, 485, 283, 19, 2206, 499, 11, 6627, 30489, 68, 52, 6480, 65, 83, 431, 204, 268, 827, 16554, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 4695, 311, 510, 31, 463, 74, 743, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 2092, 11689, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 348, 896, 17, 700, 292, 3737, 19, 1996, 1293, 204, 305, 896, 68, 6719, 289, 896, 19, 1590, 8883, 431, 204, 305, 397, 1245, 13, 644, 68, 6719, 14, 564, 435, 31, 204, 485, 314, 1359, 275, 3918, 5104, 204, 485, 370, 19, 2645, 64, 644, 68, 6719, 3327, 22, 2629, 289, 700, 204, 305, 1677, 1245, 13, 644, 68, 6719, 14, 564, 571, 329, 896, 68, 6719, 64, 22, 66, 292, 370, 19, 18249, 31, 204, 485, 314, 1359, 275, 4209, 3918, 204, 485, 370, 19, 18249, 64, 644, 68, 6719, 64, 22, 22299, 574, 68, 2645, 2930, 644, 31, 700, 1937, 204, 305, 1677, 1245, 13, 644, 68, 6719, 14, 564, 571, 329, 896, 68, 6719, 64, 22, 66, 564, 388, 2102, 559, 204, 485, 314, 1359, 275, 456, 607, 3918, 204, 485, 370, 19, 2102, 607, 19, 574, 68, 2645, 2930, 644, 31, 700, 1937, 204, 305, 902, 31, 204, 485, 314, 21775, 7843, 2072, 204, 485, 1879, 204, 204, 204, 676, 26076, 31, 204, 264, 320, 204, 264, 332, 1034, 850, 348, 30023, 19, 204, 204, 264, 1532, 31, 204, 268, 1714, 322, 2107, 330, 332, 5168, 5850, 3855, 275, 4209, 353, 8905, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 26076, 850, 19, 204, 268, 320, 204, 268, 370, 19, 1835, 289, 1078, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 980, 9936, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 980, 9936, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 204, 676, 565, 40265, 5761, 10053, 13, 11664, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 565, 43, 11383, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 565, 43, 11383, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 565, 43, 11383, 4209, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 565, 43, 11383, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 565, 43, 11383, 4209, 204, 268, 1879, 204, 204, 204, 676, 346, 8514, 10053, 13, 11664, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 44354, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 44354, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 44354, 4209, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 44354, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 44354, 4209, 204, 268, 1879, 204, 204, 204, 676, 480, 48816, 8514, 10053, 13, 11664, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 480, 18, 21033, 11383, 4209, 19, 204, 264, 320, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 480, 18, 21033, 11383, 4209, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 480, 18, 21033, 11383, 4209, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 480, 18, 21033, 11383, 4209, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 480, 18, 21033, 11383, 4209, 204, 268, 1879, 204, 204, 204, 676, 1198, 607, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 456, 607, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 1198, 607, 850, 19, 204, 268, 320, 204, 268, 370, 19, 1835, 289, 1078, 204, 204, 264, 436, 311, 68, 768, 13, 327, 17, 510, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 456, 607, 2072, 311, 275, 510, 19, 204, 204, 268, 457, 31, 204, 305, 510, 31, 334, 510, 311, 2281, 311, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 311, 68, 768, 1216, 348, 456, 607, 204, 268, 1879, 204, 204, 264, 436, 758, 68, 2645, 13, 327, 17, 3737, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 456, 607, 2072, 19, 204, 204, 268, 457, 31, 204, 305, 3737, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 2072, 311, 758, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 758, 68, 2645, 1216, 348, 456, 607, 204, 268, 1879, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2092, 68, 7560, 289, 13186, 11664, 374, 204, 264, 2092, 68, 7560, 19, 574, 68, 2645, 2930, 204, 268, 388, 10856, 559, 388, 876, 528, 204, 268, 388, 16543, 68, 14746, 559, 388, 876, 528, 204, 268, 388, 7270, 405, 18, 2394, 559, 388, 876, 528, 204, 268, 388, 2102, 18, 2394, 559, 388, 876, 528, 204, 264, 7084, 204, 264, 2092, 68, 7560, 19, 633, 68, 768, 499, 1420, 68, 553, 19, 3039, 431, 204, 0, 658, 20869, 5248, 31, 15155, 4160, 10803, 17, 415, 26494, 4117, 10803, 17, 40953, 12850, 17, 38634, 652, 204, 204, 673, 1844, 5628, 273, 4217, 1710, 10803, 329, 273, 18319, 70, 4117, 10803, 440, 437, 16947, 3302, 19, 1785, 1519, 311, 7647, 496, 3302, 5219, 50, 353, 16947, 329, 496, 12600, 289, 1301, 51, 19, 204, 204, 1380, 5696, 368, 31, 204, 4377, 496, 2746, 5511, 39, 289, 11251, 20, 1003, 289, 5075, 17, 1675, 2746, 5511, 54, 289, 5075, 20, 23, 289, 1916, 17, 754, 2746, 9124, 289, 16595, 19, 3846, 2746, 346, 54, 39, 289, 11251, 20, 1909, 289, 3528, 329, 2746, 502, 10294, 289, 32650, 17, 754, 2746, 5219, 50, 289, 11251, 338, 16595, 338, 32650, 289, 3382, 17, 8405, 3302, 5219, 50, 353, 16947, 19, 716, 204, 4592, 3302, 10595, 51, 353, 3557, 311, 3302, 5219, 50, 329, 42354, 289, 46540, 17, 40637, 289, 39572, 17, 3302, 10595, 51, 353, 1425, 16947, 19, 1058, 3210, 496, 16203, 353, 275, 10066, 29549, 302, 10595, 19, 716, 204, 2310, 618, 949, 2746, 12600, 40, 289, 5075, 20, 23, 289, 1916, 521, 2746, 12600, 54, 289, 1916, 465, 1916, 289, 5075, 19, 3846, 2746, 346, 21546, 289, 3528, 17, 2746, 650, 42552, 289, 3528, 20, 23, 289, 1598, 322, 8500, 23765, 289, 42354, 17, 1301, 39, 289, 1301, 40, 659, 329, 2746, 392, 54, 52, 289, 3528, 465, 1598, 289, 5075, 289, 2746, 12600, 54, 19, 6263, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17, 12600, 289, 1301, 51, 19, 204, 204, 1380, 5696, 435, 31, 204, 2310, 618, 1020, 2746, 5219, 50, 560, 8397, 11251, 3118, 338, 322, 19594, 465, 32650, 14, 289, 3382, 15852, 928, 3210, 5219, 289, 38981, 329, 3302, 5219, 50, 353, 16947, 19, 716, 204, 2310, 618, 1425, 1020, 2746, 33179, 289, 6449, 3118, 338, 16595, 289, 5075, 3118, 329, 2746, 346, 21546, 289, 6449, 338, 16595, 289, 5075, 14867, 15118, 472, 42552, 289, 6449, 338, 322, 3276, 465, 15066, 14, 289, 1598, 15852, 928, 3210, 2746, 472, 21546, 289, 5075, 3118, 521, 3302, 16203, 54, 353, 20487, 19, 204, 204, 1380, 5696, 571, 31, 204, 673, 23272, 2746, 302, 273, 1710, 10803, 353, 11251, 20, 1003, 289, 5075, 17, 329, 275, 23272, 2746, 302, 273, 18319, 70, 4117, 10803, 353, 11251, 20, 1909, 289, 3528, 19, 716, 204, 27331, 17, 2746, 5219, 50, 289, 5075, 465, 3528, 289, 3382, 19, 3846, 5219, 289, 10355, 289, 38981, 17, 754, 3302, 5219, 50, 353, 16947, 19, 716, 204, 24911, 17, 3302, 412, 14522, 353, 16947, 17, 928, 3210, 3302, 650, 14522, 353, 14039, 311, 3302, 650, 31289, 19, 716, 204, 4356, 17, 2746, 12600, 40, 289, 368, 20, 23, 540, 11251, 20, 1003, 289, 1916, 19, 20069, 17, 2746, 5511, 54, 289, 1916, 17, 329, 2746, 12600, 54, 289, 5075, 19, 716, 204, 20612, 17, 2746, 392, 54, 52, 289, 368, 19, 26, 540, 11251, 20, 1909, 289, 5075, 19, 716, 204, 4356, 17, 16203, 289, 1301, 51, 19, 204, 204, 1380, 6119, 10455, 31, 204, 5588, 970, 4217, 18946, 496, 10579, 275, 1581, 887, 13, 83, 22, 465, 300, 23, 14, 289, 300, 22, 540, 300, 23, 798, 437, 2746, 302, 3382, 17, 1273, 300, 22, 353, 275, 542, 302, 2902, 302, 275, 1043, 9043, 329, 300, 23, 353, 275, 542, 302, 2902, 302, 275, 1350, 9043, 19, 716, 204, 673, 4125, 302, 18946, 496, 10579, 808, 1581, 529, 31, 204, 18, 1168, 329, 8178, 204, 18, 1132, 329, 3528, 204, 18, 1233, 329, 1916, 204, 18, 1598, 329, 1598, 204, 204, 7990, 4125, 529, 275, 1698, 1534, 5169, 311, 275, 1581, 11251, 20, 83, 465, 11251, 20, 82, 289, 3382, 19, 0, 647, 1361, 204, 531, 1498, 532, 1884, 17, 1535, 204, 647, 9229, 19, 7827, 19, 885, 38707, 204, 531, 7124, 19, 1703, 532, 9566, 204, 647, 2164, 204, 204, 8, 666, 273, 2082, 1014, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 461, 3752, 68, 72, 4928, 68, 1935, 13, 204, 264, 1484, 68, 805, 31, 394, 17, 716, 264, 279, 4928, 68, 998, 68, 2923, 31, 394, 289, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 12, 204, 14, 393, 2164, 19, 2628, 31, 204, 264, 320, 204, 264, 11244, 275, 10595, 61, 958, 348, 275, 800, 1484, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1484, 68, 805, 322, 325, 330, 334, 1274, 311, 1484, 292, 275, 10595, 61, 1112, 19, 204, 268, 279, 4928, 68, 998, 68, 2923, 322, 325, 17, 1448, 330, 334, 1274, 302, 275, 10595, 61, 1112, 1981, 19, 1243, 311, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 2625, 204, 204, 264, 475, 31, 204, 268, 2164, 19, 2628, 31, 334, 958, 497, 275, 10595, 61, 1112, 1981, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1484, 1274, 204, 264, 1484, 289, 283, 1954, 72, 4928, 68, 998, 68, 2923, 20637, 86, 34, 932, 31, 805, 2120, 16, 805, 14509, 11843, 13, 2120, 68, 805, 16678, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 10595, 61, 1112, 1981, 204, 268, 958, 289, 2164, 19, 505, 13, 2120, 14, 204, 268, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 268, 407, 958, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 304, 18, 4952, 275, 2710, 204, 268, 2082, 19, 718, 13, 75, 7, 3504, 311, 3752, 10595, 61, 958, 348, 463, 2120, 68, 805, 2829, 463, 74, 743, 204, 268, 980, 204, 204, 461, 2252, 68, 72, 4928, 68, 1935, 13, 1935, 31, 2164, 19, 2628, 14, 393, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 204, 264, 320, 204, 264, 9246, 275, 10595, 61, 958, 311, 1967, 275, 510, 329, 12936, 5165, 19, 204, 204, 264, 457, 31, 204, 268, 958, 322, 8239, 19, 2628, 330, 334, 10595, 61, 958, 311, 2252, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 332, 927, 1174, 275, 510, 329, 12936, 5165, 17, 521, 322, 3170, 17, 443, 14, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2735, 275, 6275, 958, 204, 268, 36669, 289, 9229, 19, 7827, 19, 885, 38707, 19, 1703, 4269, 13, 1935, 19, 492, 14, 204, 268, 314, 1861, 1048, 275, 722, 1842, 204, 268, 348, 722, 292, 36669, 19, 505, 27397, 3609, 10833, 2687, 611, 1300, 4448, 204, 305, 314, 1986, 275, 510, 329, 12936, 5165, 204, 305, 510, 289, 722, 19, 505, 27397, 3609, 10833, 2687, 611, 553, 9520, 21, 1664, 2922, 14703, 19, 1241, 4545, 204, 305, 12936, 68, 5911, 289, 722, 19, 505, 27397, 3609, 10833, 2687, 611, 21288, 5911, 9520, 21, 1664, 2922, 14703, 19, 1241, 4545, 204, 305, 407, 510, 17, 12936, 68, 5911, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 204, 268, 2082, 19, 718, 13, 75, 7, 3504, 311, 2252, 10595, 61, 958, 31, 463, 74, 743, 204, 264, 314, 455, 443, 397, 508, 1193, 204, 264, 407, 443, 17, 443, 204, 204, 461, 11936, 68, 266, 68, 72, 4928, 13, 204, 264, 1484, 68, 805, 31, 394, 17, 716, 264, 279, 4928, 68, 998, 68, 2923, 31, 394, 289, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 12, 204, 14, 393, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 204, 264, 320, 204, 264, 4191, 397, 273, 3966, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 353, 292, 275, 10595, 61, 1112, 329, 15943, 275, 510, 329, 12936, 5165, 19, 204, 204, 264, 457, 31, 204, 268, 1484, 68, 805, 322, 325, 330, 334, 1274, 311, 1484, 292, 275, 10595, 61, 1112, 19, 204, 268, 279, 4928, 68, 998, 68, 2923, 322, 325, 17, 1448, 330, 334, 1274, 302, 275, 10595, 61, 1112, 1981, 19, 1243, 311, 379, 1942, 1963, 9277, 72, 4928, 31, 24436, 20, 481, 18, 517, 286, 985, 2625, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 4437, 64, 325, 648, 1535, 64, 325, 2440, 332, 927, 1174, 275, 510, 329, 12936, 5165, 17, 521, 322, 3170, 17, 443, 14, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 6579, 275, 10595, 61, 958, 204, 264, 958, 289, 3752, 68, 72, 4928, 68, 1935, 13, 2120, 68, 805, 17, 279, 4928, 68, 998, 68, 2923, 14, 204, 264, 314, 2175, 275, 958, 1714, 1576, 204, 264, 2082, 19, 4561, 13, 75, 7, 12414, 10307, 958, 31, 463, 1935, 19, 1835, 68, 1181, 743, 204, 264, 314, 2735, 275, 10595, 61, 958, 204, 264, 407, 2252, 68, 72, 4928, 68, 1935, 13, 1935, 14, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1484, 68, 805, 289, 388, 3189, 1963, 4537, 19, 2569, 19, 1453, 7, 204, 264, 510, 17, 12936, 68, 5911, 289, 11936, 68, 266, 68, 72, 4928, 13, 2120, 68, 805, 14, 204, 264, 397, 510, 329, 12936, 68, 5911, 31, 204, 268, 456, 13, 75, 7, 2597, 31, 463, 553, 1522, 2001, 3947, 44106, 31, 463, 21288, 68, 5911, 743, 204, 264, 902, 31, 204, 268, 456, 499, 8048, 508, 1193, 292, 10595, 61, 1112, 431, 204, 0, 647, 3805, 448, 1246, 204, 647, 7742, 204, 531, 7742, 19, 536, 532, 9270, 204, 531, 7742, 532, 838, 68, 2693, 17, 18679, 17, 6398, 204, 204, 461, 1137, 68, 41056, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 22590, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 22590, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 22590, 424, 497, 273, 2306, 510, 204, 264, 810, 31, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 546, 98, 508, 1193, 1280, 204, 268, 407, 443, 204, 204, 461, 3106, 68, 3071, 68, 2199, 13, 3786, 31, 458, 64, 325, 694, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 8414, 1837, 1987, 560, 13931, 4338, 2724, 440, 29940, 19, 204, 204, 264, 457, 31, 204, 268, 2630, 322, 655, 64, 325, 1037, 334, 458, 302, 1837, 1987, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 334, 5872, 1837, 1987, 19, 204, 264, 320, 204, 264, 314, 8414, 1837, 1987, 560, 13931, 4338, 2724, 440, 29940, 204, 264, 407, 551, 3071, 19, 3834, 611, 7537, 10151, 3930, 3834, 611, 9086, 18242, 3834, 41115, 491, 18242, 3834, 499, 28142, 10151, 3930, 3834, 8883, 528, 10151, 3930, 3834, 31598, 10151, 534, 348, 1837, 292, 2630, 66, 204, 204, 461, 1137, 68, 416, 68, 5614, 68, 2024, 352, 288, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 329, 3106, 13709, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 329, 5872, 13709, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 329, 3106, 13709, 424, 497, 273, 2306, 510, 204, 264, 13709, 68, 481, 289, 1137, 68, 41056, 68, 481, 13, 553, 68, 546, 14, 204, 264, 397, 13709, 68, 481, 353, 508, 443, 31, 204, 268, 13709, 68, 481, 19, 3786, 289, 3106, 68, 3071, 68, 2199, 13, 2024, 352, 288, 68, 481, 19, 3786, 14, 204, 264, 407, 13709, 68, 481, 204, 204, 461, 838, 68, 2819, 68, 2602, 13, 2819, 68, 546, 31, 394, 14, 393, 7742, 19, 2693, 19, 12439, 31, 204, 264, 320, 204, 264, 666, 273, 1104, 1727, 19, 204, 204, 264, 457, 31, 204, 268, 1104, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 7742, 19, 2693, 19, 12439, 31, 334, 1104, 1727, 19, 204, 264, 320, 204, 264, 314, 666, 273, 1104, 1727, 204, 264, 810, 31, 204, 268, 407, 838, 68, 2693, 13, 75, 7, 9853, 1963, 4235, 2819, 68, 546, 743, 204, 264, 827, 7742, 19, 13758, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 838, 1104, 1727, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 31, 7742, 19, 2693, 19, 12439, 17, 424, 31, 1246, 19, 1362, 17, 1435, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1385, 424, 1025, 273, 1104, 1435, 19, 204, 204, 264, 457, 31, 204, 268, 3798, 322, 18080, 19, 2693, 19, 12439, 330, 334, 1104, 1727, 19, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 1137, 19, 204, 268, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 1137, 1025, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 1025, 273, 1104, 1435, 204, 264, 397, 3798, 353, 508, 443, 329, 424, 353, 508, 443, 31, 204, 268, 810, 31, 204, 305, 424, 19, 7142, 68, 998, 1528, 633, 68, 4655, 13, 1867, 68, 417, 17, 378, 34, 2693, 19, 2933, 2144, 397, 68, 4332, 833, 3834, 534, 204, 268, 827, 7742, 19, 13758, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 3504, 311, 1137, 424, 1025, 1104, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 314, 968, 510, 3630, 204, 264, 22590, 68, 481, 68, 546, 289, 388, 9315, 20, 5797, 989, 19, 9853, 7, 204, 264, 5623, 316, 68, 8059, 68, 553, 68, 546, 289, 379, 9315, 20, 5917, 760, 1745, 19, 2039, 12, 204, 264, 22590, 68, 7406, 68, 553, 68, 546, 289, 379, 9315, 20, 40, 14393, 29352, 989, 19, 2039, 12, 204, 264, 13709, 68, 5042, 19189, 68, 553, 68, 546, 289, 379, 9315, 20, 11589, 37090, 30255, 19189, 3609, 5059, 19, 2039, 12, 204, 204, 264, 314, 666, 1104, 1727, 204, 264, 3798, 289, 838, 68, 2819, 68, 2602, 13, 41056, 68, 481, 68, 546, 14, 204, 204, 264, 314, 1385, 22590, 424, 204, 264, 5623, 316, 68, 8059, 68, 481, 289, 1137, 68, 41056, 68, 481, 13, 3762, 316, 68, 8059, 68, 553, 68, 546, 14, 204, 264, 22590, 68, 7406, 68, 481, 289, 1137, 68, 41056, 68, 481, 13, 41056, 68, 7406, 68, 553, 68, 546, 14, 204, 264, 13709, 68, 5042, 19189, 68, 481, 289, 1137, 68, 416, 68, 5614, 68, 2024, 352, 288, 68, 481, 13, 2024, 352, 288, 68, 5042, 19189, 68, 553, 68, 546, 14, 204, 204, 264, 314, 1385, 424, 1025, 1104, 204, 264, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 17, 5623, 316, 68, 8059, 68, 481, 17, 388, 3762, 316, 431, 204, 264, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 17, 22590, 68, 7406, 68, 481, 17, 388, 7406, 431, 204, 264, 1137, 68, 481, 68, 10247, 68, 2819, 13, 2693, 17, 13709, 68, 5042, 19189, 68, 481, 17, 388, 2024, 352, 288, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4390, 3600, 6500, 204, 531, 1907, 19, 3968, 532, 832, 17, 2255, 204, 531, 740, 532, 5020, 448, 740, 68, 4280, 204, 204, 8, 968, 1274, 3758, 204, 11326, 289, 551, 204, 264, 314, 6104, 1274, 2679, 204, 264, 832, 14945, 740, 68, 4280, 19, 998, 17, 588, 833, 998, 2008, 204, 264, 314, 18336, 1274, 2679, 204, 264, 832, 611, 27200, 936, 4750, 740, 68, 4280, 19, 27200, 936, 17, 588, 833, 27200, 936, 2008, 204, 264, 314, 3877, 1274, 2679, 204, 264, 832, 611, 579, 4750, 740, 68, 4280, 19, 579, 17, 588, 833, 579, 2008, 204, 264, 314, 20696, 1274, 3758, 204, 264, 832, 611, 14914, 4750, 740, 68, 4280, 19, 14914, 68, 1529, 17, 588, 833, 14914, 68, 1529, 2008, 204, 264, 832, 611, 19807, 4750, 740, 68, 4280, 19, 19807, 68, 1529, 17, 588, 833, 19807, 68, 1529, 2008, 204, 66, 204, 0, 25459, 299, 9877, 1025, 273, 38176, 9877, 5180, 204, 204, 17139, 7694, 5190, 2459, 275, 10931, 311, 10647, 329, 6296, 1017, 6173, 17, 6497, 278, 1017, 5384, 302, 2821, 7345, 17, 329, 2270, 43340, 292, 437, 46352, 2501, 19, 4596, 15726, 2821, 3100, 690, 1025, 273, 10306, 2821, 1470, 17, 2804, 618, 874, 9819, 329, 2270, 2821, 6173, 630, 275, 1729, 690, 19, 204, 204, 5399, 677, 437, 1763, 302, 273, 2821, 1470, 3250, 388, 37982, 275, 11378, 559, 204, 204, 777, 2920, 311, 8406, 4626, 204, 204, 22, 19, 10932, 1054, 1792, 4549, 523, 273, 8224, 521, 5999, 329, 2481, 273, 6087, 302, 4960, 440, 273, 542, 292, 848, 1864, 19, 4171, 618, 444, 4835, 886, 17, 15467, 17, 6249, 17, 1892, 17, 521, 2219, 14202, 7277, 17, 10625, 523, 275, 1656, 677, 5686, 1870, 19, 204, 23, 19, 7616, 2061, 5178, 273, 3638, 33466, 437, 726, 17, 1702, 448, 273, 19159, 4279, 17, 7883, 970, 886, 19, 204, 24, 19, 334, 2061, 16510, 2758, 311, 636, 275, 6862, 2279, 2237, 348, 496, 3638, 19, 1765, 1763, 17, 397, 275, 2061, 17412, 523, 338, 25, 329, 435, 17, 1250, 618, 949, 435, 338, 3457, 25, 14, 289, 887, 311, 636, 275, 6862, 2237, 2279, 19, 204, 25, 19, 7616, 2061, 9321, 275, 3703, 348, 830, 1017, 11147, 17, 329, 275, 2061, 440, 275, 6862, 2423, 2279, 11716, 19, 204, 204, 777, 17665, 657, 4626, 204, 204, 15, 3665, 618, 838, 1214, 3346, 5035, 17, 1702, 448, 15024, 275, 2061, 311, 2811, 2758, 311, 636, 275, 10658, 2279, 2237, 348, 496, 3638, 19, 204, 15, 3665, 618, 881, 4916, 5035, 17, 1702, 448, 18383, 437, 4372, 917, 397, 275, 2061, 5018, 1017, 13952, 677, 886, 311, 1895, 273, 5092, 2279, 1194, 1017, 13952, 3756, 19, 204, 204, 777, 12695, 9877, 24513, 4626, 204, 204, 15, 10037, 7694, 521, 40274, 496, 4426, 2459, 311, 2216, 618, 1340, 2390, 542, 7211, 329, 6024, 4843, 19, 204, 15, 43625, 7694, 2090, 565, 41666, 2368, 17, 37266, 17, 5389, 23845, 17, 548, 1625, 17, 329, 5973, 760, 11489, 618, 1340, 2390, 4109, 2821, 6173, 17, 1702, 448, 26907, 1728, 523, 273, 7719, 6258, 17, 25523, 8993, 17, 1844, 18, 24384, 17, 17318, 886, 17, 329, 15224, 19, 204, 204, 777, 46132, 4626, 204, 204, 15, 44950, 2804, 311, 8108, 523, 275, 1470, 560, 15024, 1475, 1465, 275, 10114, 1250, 1376, 329, 1662, 1250, 4230, 2652, 1017, 6684, 397, 1250, 11474, 275, 1470, 2528, 19, 204, 15, 4244, 1982, 504, 1214, 3346, 10114, 46111, 311, 570, 275, 3979, 872, 529, 6432, 19, 204, 15, 1974, 7110, 4764, 17, 1702, 448, 11517, 3394, 17, 1273, 2804, 618, 22459, 12422, 329, 5726, 1110, 448, 1250, 4309, 329, 6296, 2821, 7345, 19, 0, 315, 204, 19619, 3467, 348, 275, 26424, 6495, 18, 5941, 3146, 19, 204, 204, 1834, 3146, 3629, 437, 16063, 23, 9068, 348, 22012, 1571, 8424, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 17, 1020, 68, 9290, 204, 204, 461, 1151, 68, 5515, 68, 2749, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 275, 2482, 2342, 497, 275, 15786, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2482, 2342, 302, 275, 3146, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 611, 24235, 19, 7648, 491, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 407, 510, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 407, 388, 24235, 510, 508, 1193, 3343, 204, 204, 461, 636, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4780, 68, 12362, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 275, 458, 302, 3146, 6127, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 3146, 6127, 19, 204, 264, 320, 204, 264, 407, 551, 204, 268, 379, 15957, 23, 491, 204, 268, 379, 11684, 1775, 491, 204, 268, 379, 5835, 491, 204, 264, 2437, 204, 204, 461, 636, 68, 19994, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 275, 458, 302, 16674, 348, 275, 3146, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 16674, 19, 204, 264, 320, 204, 264, 407, 551, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 528, 226, 314, 9918, 275, 4847, 2585, 204, 268, 388, 18427, 5997, 20523, 11699, 5997, 43155, 5997, 4847, 6501, 2770, 528, 204, 268, 388, 45350, 5997, 5959, 528, 204, 268, 388, 11690, 5997, 4318, 8361, 528, 204, 268, 388, 19086, 5997, 28482, 28007, 5997, 48313, 11357, 528, 226, 314, 9918, 275, 11195, 204, 264, 2437, 204, 204, 461, 3219, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 26424, 6495, 18, 5941, 3146, 19, 204, 204, 264, 1058, 741, 5018, 275, 3219, 741, 497, 12800, 311, 7072, 275, 3146, 3688, 17, 204, 264, 6127, 17, 329, 904, 6826, 1483, 19, 204, 264, 320, 204, 264, 314, 18027, 3688, 204, 264, 3146, 68, 4591, 289, 463, 204, 268, 379, 417, 597, 379, 27175, 68, 948, 491, 204, 268, 379, 2256, 597, 379, 21, 19, 22, 19, 25, 491, 204, 268, 379, 2749, 597, 379, 28931, 23, 46832, 348, 22012, 1571, 8424, 491, 204, 268, 379, 5515, 68, 2749, 597, 1151, 68, 5515, 68, 2749, 2144, 204, 268, 379, 12477, 597, 379, 5835, 17, 10843, 366, 8424, 17, 25902, 23, 491, 204, 268, 379, 4020, 597, 379, 46, 74, 16200, 964, 91, 29723, 491, 204, 268, 379, 4020, 68, 2302, 597, 379, 705, 16200, 19, 23163, 29723, 37, 13260, 19, 1453, 491, 204, 268, 379, 805, 597, 379, 3189, 1963, 8750, 19, 1453, 20, 705, 16200, 20, 37867, 6495, 18, 5941, 4750, 204, 268, 379, 14194, 597, 379, 39, 10521, 491, 204, 264, 1211, 204, 204, 264, 314, 18027, 6127, 204, 264, 3146, 68, 12362, 289, 463, 204, 268, 379, 9290, 597, 1020, 68, 9290, 2144, 204, 268, 379, 5714, 68, 9699, 597, 1078, 17, 204, 268, 379, 9310, 68, 11729, 597, 636, 68, 4780, 68, 12362, 2144, 204, 268, 379, 10203, 68, 4780, 68, 481, 597, 959, 17, 204, 264, 1211, 204, 204, 264, 314, 5297, 7526, 204, 264, 16674, 289, 636, 68, 19994, 374, 204, 204, 264, 314, 13553, 275, 3146, 204, 264, 3219, 13, 204, 268, 930, 4780, 68, 4591, 17, 204, 268, 930, 4780, 68, 12362, 17, 204, 268, 16674, 34, 19994, 17, 204, 264, 1179, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3219, 68, 4780, 374, 204, 0, 673, 10699, 10590, 5786, 5178, 830, 7186, 496, 529, 508, 21501, 292, 275, 904, 970, 11466, 19, 592, 275, 5378, 17, 830, 808, 10590, 867, 2312, 311, 48539, 348, 31150, 19, 21909, 3623, 45048, 1967, 48539, 5859, 329, 732, 808, 311, 1900, 2347, 17, 754, 1429, 2796, 353, 21593, 497, 3623, 18137, 10590, 19, 3355, 17, 273, 4037, 8543, 1988, 353, 311, 1900, 1182, 5462, 329, 2347, 497, 10699, 10590, 329, 2077, 5131, 8459, 10699, 10590, 311, 1051, 44859, 18, 633, 18, 23857, 4968, 322, 35760, 8129, 15508, 730, 14, 292, 18929, 329, 1910, 1702, 6415, 292, 904, 19991, 4985, 3584, 17, 2864, 44998, 17, 12352, 17, 38862, 329, 32676, 19, 4496, 10590, 448, 273, 7534, 31366, 353, 6028, 560, 275, 19991, 311, 444, 273, 4037, 8543, 4248, 1194, 48539, 31150, 302, 496, 10590, 292, 18929, 329, 275, 19602, 12893, 869, 31653, 273, 48539, 604, 18401, 302, 38751, 3534, 841, 18617, 656, 17, 928, 869, 1742, 6639, 292, 42295, 5826, 275, 732, 302, 48539, 348, 31150, 302, 10699, 10590, 19, 204, 16632, 18, 272, 12036, 1414, 12537, 10590, 1425, 3629, 273, 3094, 4182, 5225, 348, 35169, 791, 7404, 38473, 322, 56, 12730, 789, 5860, 302, 2077, 5131, 7271, 2547, 4070, 10699, 12537, 10590, 311, 1895, 387, 12730, 17, 928, 33936, 13917, 448, 273, 7534, 292, 28116, 724, 362, 853, 292, 18929, 329, 31366, 19, 334, 732, 302, 387, 12730, 311, 4066, 13917, 869, 1910, 8543, 8753, 17, 2864, 8016, 7515, 2652, 15888, 19, 0, 647, 2454, 204, 204, 461, 1151, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4143, 537, 497, 2599, 537, 329, 2584, 275, 542, 302, 1842, 329, 275, 542, 302, 6505, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 1842, 329, 275, 542, 302, 6505, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 1842, 329, 6505, 497, 2599, 537, 204, 264, 300, 17, 279, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 264, 407, 300, 17, 279, 204, 204, 461, 1151, 68, 4782, 68, 481, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4143, 3906, 424, 497, 2599, 537, 329, 2584, 273, 458, 302, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 3330, 17, 1273, 848, 14174, 3192, 3906, 424, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 3906, 424, 204, 264, 3906, 68, 481, 289, 1306, 204, 264, 314, 1606, 3906, 424, 497, 2599, 537, 3119, 33179, 204, 264, 348, 1007, 292, 2454, 19, 10376, 31, 204, 268, 314, 3736, 848, 1007, 1025, 1892, 329, 6283, 311, 3906, 68, 481, 204, 268, 3906, 68, 481, 19, 1223, 13, 655, 13, 1608, 13, 339, 17, 1007, 19, 1590, 35160, 204, 264, 407, 3906, 68, 481, 204, 204, 461, 5345, 68, 4782, 68, 1867, 13, 920, 68, 4588, 31, 421, 17, 846, 68, 834, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 1865, 273, 3906, 1435, 440, 7152, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 4588, 322, 339, 330, 334, 542, 302, 6505, 19, 204, 268, 846, 68, 834, 322, 339, 330, 334, 1646, 690, 19, 204, 204, 264, 475, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 204, 268, 458, 31, 332, 435, 41, 458, 2457, 275, 3906, 1435, 19, 204, 264, 320, 204, 264, 314, 977, 273, 435, 41, 458, 440, 7152, 204, 264, 3906, 68, 1867, 289, 5787, 21, 66, 540, 322, 1129, 68, 834, 465, 368, 14, 348, 906, 292, 933, 13, 920, 68, 4588, 2395, 204, 264, 407, 3906, 68, 1867, 204, 204, 461, 1395, 68, 4782, 68, 1867, 13, 4782, 68, 1867, 31, 458, 17, 3906, 68, 481, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5307, 275, 3906, 1435, 1609, 523, 275, 3906, 424, 19, 204, 204, 264, 457, 31, 204, 268, 3906, 68, 1867, 322, 655, 330, 334, 3906, 1435, 311, 1395, 19, 204, 268, 3906, 68, 481, 322, 655, 330, 334, 3906, 424, 311, 1395, 275, 1435, 440, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 424, 917, 292, 3906, 68, 481, 204, 264, 348, 424, 292, 3906, 68, 481, 31, 204, 268, 314, 888, 275, 3906, 1112, 17, 1012, 690, 17, 329, 1136, 690, 204, 268, 3906, 289, 424, 64, 23, 66, 338, 368, 204, 268, 1012, 289, 435, 540, 424, 64, 21, 66, 338, 368, 204, 268, 1136, 289, 435, 540, 424, 64, 22, 66, 204, 268, 314, 1716, 275, 3906, 1435, 204, 268, 3906, 68, 1867, 64, 4782, 1799, 1530, 31, 409, 66, 289, 551, 22, 66, 540, 322, 409, 338, 1012, 14, 204, 204, 461, 1020, 68, 1129, 68, 11281, 13, 4782, 68, 1867, 31, 458, 14, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 1646, 1265, 5229, 830, 6505, 19, 204, 204, 264, 457, 31, 204, 268, 3906, 68, 1867, 322, 655, 330, 334, 3906, 1435, 311, 1020, 275, 1646, 1265, 292, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1646, 1265, 5229, 830, 6505, 19, 204, 264, 320, 204, 264, 314, 977, 846, 68, 11281, 311, 500, 204, 264, 846, 68, 11281, 289, 500, 204, 264, 314, 1861, 1048, 848, 690, 13460, 292, 275, 3906, 1435, 204, 264, 348, 296, 292, 933, 13, 22, 17, 1245, 13, 4782, 68, 1867, 64, 21, 20803, 204, 268, 314, 888, 275, 1265, 630, 275, 790, 690, 13460, 204, 268, 1265, 289, 1066, 13, 4782, 68, 1867, 64, 366, 1799, 78, 66, 348, 556, 292, 933, 13, 1796, 13, 4782, 68, 1867, 3694, 204, 268, 314, 1716, 846, 68, 11281, 397, 275, 790, 1265, 353, 5092, 204, 268, 846, 68, 11281, 289, 846, 13, 1129, 68, 11281, 17, 1265, 14, 204, 264, 407, 846, 68, 11281, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 537, 17, 17849, 275, 3906, 1435, 17, 7861, 490, 17, 329, 13889, 275, 1646, 1265, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 1842, 329, 6505, 497, 2599, 537, 204, 264, 300, 17, 279, 289, 1151, 68, 768, 374, 204, 264, 314, 1359, 275, 1646, 690, 311, 435, 540, 931, 67, 26, 204, 264, 846, 68, 834, 289, 435, 540, 931, 930, 720, 204, 264, 314, 1606, 3906, 424, 497, 2599, 537, 204, 264, 3906, 68, 481, 289, 1151, 68, 4782, 68, 481, 374, 204, 264, 314, 977, 275, 3906, 1435, 204, 264, 3906, 68, 1867, 289, 5345, 68, 4782, 68, 1867, 13, 72, 17, 846, 68, 834, 14, 204, 264, 314, 1716, 275, 3906, 1435, 204, 264, 1395, 68, 4782, 68, 1867, 13, 4782, 68, 1867, 17, 3906, 68, 481, 14, 204, 264, 314, 1752, 275, 1646, 1265, 204, 264, 846, 68, 11281, 289, 1020, 68, 1129, 68, 11281, 13, 4782, 68, 1867, 14, 204, 264, 314, 1198, 275, 1646, 1265, 204, 264, 456, 13, 1129, 68, 11281, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 768, 68, 553, 13, 553, 68, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 275, 537, 510, 329, 2584, 1163, 4578, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 537, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4578, 302, 275, 537, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 510, 292, 1151, 2291, 204, 268, 440, 1451, 13, 553, 68, 417, 17, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 305, 314, 1606, 275, 5641, 510, 4578, 204, 305, 407, 510, 68, 4103, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 417, 98, 508, 1193, 1280, 204, 268, 407, 3026, 204, 204, 461, 2252, 68, 36903, 13, 768, 68, 325, 31, 394, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 9246, 275, 537, 782, 1025, 273, 458, 302, 16565, 43779, 21560, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 325, 322, 325, 330, 334, 537, 782, 1174, 16565, 43779, 21560, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 2282, 458, 302, 16565, 43779, 21560, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 537, 782, 1025, 3509, 43779, 21560, 329, 1814, 311, 1892, 204, 264, 407, 2282, 1568, 339, 13, 79, 349, 5023, 14, 348, 43779, 5023, 292, 537, 68, 325, 19, 1590, 13854, 204, 204, 461, 949, 68, 79, 349, 5023, 68, 17250, 13, 36903, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 3989, 275, 43779, 5023, 6108, 1283, 6920, 35919, 19, 204, 204, 264, 457, 31, 204, 268, 35919, 322, 655, 64, 339, 1037, 332, 458, 302, 16565, 43779, 21560, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 43779, 5023, 6108, 1283, 6920, 35919, 19, 204, 264, 320, 204, 264, 314, 977, 275, 458, 311, 1640, 43779, 5023, 6108, 204, 264, 43779, 5023, 68, 17250, 289, 1306, 204, 264, 314, 977, 275, 790, 43779, 5023, 311, 500, 322, 1947, 27916, 28833, 14, 204, 264, 790, 68, 79, 349, 5023, 289, 500, 204, 264, 314, 1861, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1048, 848, 16565, 43779, 5023, 204, 264, 348, 43779, 5023, 292, 35919, 31, 204, 268, 314, 888, 275, 43779, 5023, 2712, 329, 6283, 311, 275, 458, 204, 268, 43779, 5023, 68, 17250, 19, 1223, 13, 79, 349, 5023, 338, 790, 68, 79, 349, 5023, 14, 204, 268, 314, 1716, 275, 790, 43779, 5023, 204, 268, 790, 68, 79, 349, 5023, 289, 43779, 5023, 204, 264, 407, 43779, 5023, 68, 17250, 204, 204, 461, 949, 68, 1819, 22, 68, 6452, 13, 79, 349, 5023, 68, 17250, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1085, 368, 2073, 560, 11375, 275, 542, 302, 368, 18, 79, 21508, 329, 571, 18, 79, 21508, 6108, 19, 204, 204, 264, 457, 31, 204, 268, 43779, 5023, 68, 17250, 322, 655, 64, 339, 1037, 332, 458, 302, 43779, 5023, 6108, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1351, 302, 275, 4442, 302, 368, 18, 79, 21508, 329, 571, 18, 79, 21508, 6108, 19, 204, 264, 320, 204, 264, 314, 3398, 275, 7428, 302, 368, 18, 79, 21508, 329, 571, 18, 79, 21508, 6108, 204, 264, 1040, 68, 22, 68, 79, 21508, 289, 43779, 5023, 68, 17250, 19, 765, 13, 22, 14, 204, 264, 1040, 68, 24, 68, 79, 21508, 289, 43779, 5023, 68, 17250, 19, 765, 13, 24, 14, 204, 264, 314, 455, 275, 1351, 302, 275, 4442, 204, 264, 407, 1040, 68, 22, 68, 79, 21508, 540, 1040, 68, 24, 68, 79, 21508, 204, 204, 461, 949, 68, 1819, 23, 68, 6452, 13, 36903, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1085, 435, 2073, 560, 11375, 275, 1113, 542, 302, 8164, 19, 204, 204, 264, 457, 31, 204, 268, 35919, 322, 655, 64, 339, 1037, 332, 458, 302, 16565, 43779, 21560, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1113, 542, 302, 8164, 19, 204, 264, 320, 204, 264, 314, 977, 273, 955, 311, 1640, 275, 542, 302, 8164, 311, 848, 16565, 204, 264, 1113, 68, 12970, 289, 463, 21, 31, 368, 98, 204, 264, 314, 1861, 1048, 848, 16565, 43779, 5023, 204, 264, 348, 43779, 5023, 292, 35919, 31, 204, 268, 314, 977, 275, 542, 302, 8164, 311, 275, 790, 16565, 204, 268, 8164, 289, 500, 204, 268, 314, 778, 275, 3090, 571, 35919, 348, 2237, 7369, 204, 268, 348, 860, 68, 79, 349, 5023, 292, 933, 13, 79, 349, 5023, 338, 571, 17, 43779, 5023, 330, 204, 305, 314, 828, 275, 3090, 16565, 353, 292, 275, 955, 17, 881, 1163, 8164, 311, 275, 790, 16565, 204, 305, 397, 860, 68, 79, 349, 5023, 292, 1113, 68, 12970, 19, 3261, 1293, 204, 485, 8164, 1412, 1113, 68, 12970, 64, 1509, 68, 79, 349, 5023, 66, 204, 268, 314, 1716, 275, 955, 440, 275, 542, 302, 8164, 311, 275, 790, 16565, 204, 268, 1113, 68, 12970, 64, 79, 349, 5023, 66, 289, 8164, 204, 264, 314, 455, 275, 1113, 542, 302, 8164, 311, 275, 1673, 16565, 204, 264, 407, 1113, 68, 12970, 64, 1129, 13, 36903, 2395, 204, 204, 461, 667, 1293, 204, 264, 314, 1606, 275, 537, 510, 204, 264, 537, 68, 325, 289, 1151, 68, 768, 68, 553, 499, 4599, 20, 1003, 19, 3039, 431, 204, 264, 314, 2735, 275, 537, 782, 1025, 16565, 43779, 21560, 204, 264, 35919, 289, 2252, 68, 36903, 13, 768, 68, 325, 14, 204, 264, 314, 1255, 275, 5082, 18, 266, 16565, 322, 24, 43779, 3450, 5092, 1194, 275, 6862, 16565, 14, 204, 264, 35919, 19, 1223, 13, 36903, 3327, 22, 66, 465, 571, 14, 204, 264, 314, 888, 275, 43779, 5023, 6108, 204, 264, 43779, 5023, 68, 17250, 289, 949, 68, 79, 349, 5023, 68, 17250, 13, 36903, 14, 204, 264, 314, 888, 329, 456, 275, 1085, 368, 2073, 204, 264, 456, 499, 8837, 368, 2073, 2180, 949, 68, 1819, 22, 68, 6452, 13, 79, 349, 5023, 68, 17250, 602, 204, 264, 314, 888, 329, 456, 275, 1085, 435, 2073, 204, 264, 456, 499, 8837, 435, 2073, 2180, 949, 68, 1819, 23, 68, 6452, 13, 36903, 602, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 1814, 490, 311, 3124, 1322, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 292, 3124, 1322, 19, 204, 264, 320, 204, 264, 407, 537, 13, 4202, 789, 3006, 374, 204, 204, 461, 2037, 68, 1756, 68, 2953, 13, 1454, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 273, 1470, 1048, 943, 329, 5925, 275, 1470, 19, 204, 204, 264, 457, 31, 204, 268, 943, 322, 325, 330, 334, 1470, 1048, 943, 311, 2037, 19, 204, 264, 320, 204, 264, 456, 13, 1454, 14, 204, 264, 456, 499, 22450, 44482, 431, 204, 204, 461, 1012, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4055, 275, 1470, 329, 2906, 575, 537, 19, 204, 264, 320, 204, 264, 456, 499, 15352, 311, 1214, 717, 10551, 1470, 19, 35683, 872, 7188, 523, 273, 10306, 7004, 299, 5879, 1280, 204, 264, 456, 499, 5009, 874, 970, 2914, 348, 1214, 7004, 3350, 2212, 204, 264, 456, 499, 22, 19, 334, 12724, 431, 204, 264, 456, 499, 23, 19, 334, 21518, 431, 204, 615, 264, 7004, 3350, 68, 4352, 289, 636, 68, 816, 68, 768, 499, 11142, 770, 872, 1307, 36, 2838, 368, 348, 275, 12724, 19, 2838, 435, 348, 275, 21518, 19, 2810, 204, 615, 264, 397, 7004, 3350, 68, 4352, 564, 388, 22, 559, 204, 268, 12724, 68, 1756, 374, 204, 264, 1677, 7004, 3350, 68, 4352, 564, 388, 23, 559, 204, 268, 14498, 68, 1756, 374, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 3508, 19, 3665, 1631, 21287, 1214, 34003, 1280, 204, 268, 1012, 68, 1756, 374, 204, 204, 461, 12724, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 1426, 12724, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 5009, 1307, 311, 275, 12724, 19, 3665, 1307, 23926, 19, 332, 20280, 40923, 872, 329, 872, 8527, 302, 5043, 2210, 1280, 204, 264, 2037, 68, 1756, 68, 2953, 499, 5009, 10564, 497, 273, 20280, 5087, 1280, 204, 204, 461, 14498, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 14498, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 2551, 872, 7188, 9999, 292, 275, 21518, 1280, 204, 264, 456, 499, 11594, 872, 7188, 9101, 685, 1214, 7004, 3350, 17, 872, 1020, 437, 318, 270, 1930, 27484, 6695, 1064, 3872, 286, 1070, 523, 273, 11118, 1280, 204, 264, 456, 499, 5009, 874, 970, 2914, 2212, 204, 264, 456, 499, 22, 19, 29793, 311, 275, 1064, 431, 204, 264, 456, 499, 23, 19, 21775, 3850, 431, 204, 615, 264, 2086, 68, 4352, 289, 636, 68, 816, 68, 768, 499, 3728, 770, 872, 770, 36, 2838, 368, 311, 9023, 311, 275, 1064, 19, 2838, 435, 311, 8809, 3850, 19, 2810, 204, 615, 264, 397, 2086, 68, 4352, 564, 388, 22, 559, 204, 268, 9023, 68, 633, 68, 1486, 374, 204, 264, 1677, 2086, 68, 4352, 564, 388, 23, 559, 204, 268, 8809, 68, 1486, 374, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 3508, 19, 3665, 1631, 21287, 1214, 34003, 1280, 204, 268, 14498, 68, 1756, 374, 204, 204, 461, 9023, 68, 633, 68, 1486, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 16482, 311, 275, 1064, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 673, 1064, 5366, 17, 379, 42163, 17, 2745, 588, 353, 871, 360, 6779, 329, 382, 3315, 3237, 311, 2106, 872, 497, 273, 14963, 21216, 5094, 1280, 204, 264, 456, 499, 5842, 302, 1605, 2828, 1120, 6156, 872, 1882, 1214, 34003, 1280, 204, 264, 456, 499, 5009, 874, 970, 2914, 2212, 204, 264, 456, 499, 22, 19, 1346, 3315, 1180, 89, 431, 204, 264, 456, 499, 23, 19, 27692, 23852, 431, 204, 615, 264, 726, 68, 4352, 289, 636, 68, 816, 68, 768, 499, 3728, 770, 872, 5710, 36, 2838, 368, 348, 437, 3315, 1180, 89, 19, 2838, 435, 348, 14848, 23852, 19, 2810, 204, 615, 264, 397, 726, 68, 4352, 564, 388, 22, 559, 204, 268, 3315, 1180, 89, 68, 1756, 374, 204, 264, 1677, 726, 68, 4352, 564, 388, 23, 559, 204, 268, 14848, 68, 2184, 549, 68, 1756, 374, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 3508, 19, 3665, 1631, 21287, 1214, 34003, 1280, 204, 268, 9023, 68, 633, 68, 1486, 374, 204, 204, 461, 8809, 68, 1486, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 24450, 275, 1064, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 19322, 3508, 19, 7954, 872, 7188, 22920, 17, 872, 636, 24600, 560, 273, 14848, 329, 38630, 13136, 440, 1214, 3307, 1280, 204, 264, 2037, 68, 1756, 68, 2953, 499, 5009, 1466, 24600, 560, 273, 14848, 329, 38630, 27689, 1280, 204, 204, 461, 3315, 1180, 89, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 3315, 1180, 89, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 47, 360, 6779, 5366, 379, 779, 19027, 19027, 12, 329, 8650, 872, 273, 44667, 4720, 3315, 1180, 89, 1280, 204, 264, 456, 499, 5009, 15413, 719, 6432, 830, 2344, 22121, 1214, 7004, 3350, 329, 490, 677, 9373, 3303, 1280, 204, 264, 456, 499, 7043, 8450, 24333, 8450, 48995, 5397, 204, 264, 456, 499, 5009, 7188, 22920, 329, 273, 14848, 7510, 13603, 872, 17, 1101, 1214, 11192, 3315, 1180, 89, 7036, 691, 7187, 7051, 11018, 447, 1280, 204, 264, 456, 499, 5009, 7188, 24479, 33555, 1025, 437, 19516, 13346, 19, 595, 84, 2981, 6779, 19, 3665, 7940, 830, 1214, 8595, 30852, 329, 5794, 273, 9819, 3307, 1280, 204, 264, 456, 499, 37015, 17, 872, 6612, 275, 1470, 5397, 204, 204, 461, 14848, 68, 2184, 549, 68, 1756, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 14848, 23852, 1470, 3975, 19, 204, 264, 320, 204, 264, 456, 499, 47, 360, 6779, 5366, 17, 379, 281, 1633, 94, 1675, 10655, 3665, 35755, 1214, 6646, 329, 4566, 348, 275, 3315, 1180, 89, 329, 566, 5366, 379, 1625, 3771, 17, 24375, 204, 264, 456, 499, 85, 2103, 1214, 1526, 17, 1675, 17786, 1840, 292, 273, 7135, 302, 11503, 23003, 1280, 204, 264, 456, 499, 3837, 677, 9373, 19, 3665, 1307, 311, 5590, 1280, 204, 264, 456, 499, 5009, 7510, 8527, 17, 1101, 1675, 872, 27487, 1214, 12117, 94, 14848, 23852, 1280, 204, 264, 456, 499, 47, 360, 6779, 24479, 6644, 329, 872, 46789, 23852, 275, 14848, 23852, 292, 1704, 9621, 1280, 204, 264, 456, 499, 6031, 8290, 21650, 560, 275, 14848, 329, 872, 5794, 275, 3022, 302, 1214, 3307, 13896, 34964, 1465, 871, 360, 6779, 677, 5741, 1280, 204, 264, 2037, 68, 1756, 68, 2953, 499, 47, 360, 6779, 10564, 497, 275, 14848, 5087, 1280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 1470, 3546, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 636, 68, 816, 68, 768, 499, 2191, 47070, 311, 3506, 275, 1470, 19, 2838, 10080, 902, 311, 1012, 1470, 19, 2810, 204, 268, 397, 575, 68, 768, 564, 388, 5029, 559, 204, 305, 2280, 204, 268, 902, 31, 204, 305, 1012, 68, 1756, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 838, 68, 5763, 68, 15554, 13, 5763, 31, 458, 14, 393, 2497, 31, 204, 264, 320, 204, 264, 2605, 437, 11282, 497, 273, 800, 3599, 19, 204, 204, 264, 457, 31, 204, 268, 3599, 322, 655, 330, 334, 537, 3599, 311, 838, 437, 11282, 497, 19, 204, 204, 264, 475, 31, 204, 268, 2497, 31, 1346, 11282, 726, 348, 275, 800, 3599, 19, 204, 264, 320, 204, 264, 314, 666, 437, 11282, 497, 275, 800, 3599, 204, 264, 407, 2497, 13, 5763, 14, 204, 204, 461, 13767, 68, 6298, 68, 2715, 68, 2539, 13, 15554, 31, 2497, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1739, 675, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1048, 437, 11282, 974, 275, 1682, 374, 741, 19, 204, 204, 264, 457, 31, 204, 268, 11282, 322, 2062, 330, 334, 11282, 726, 311, 13767, 1048, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 11282, 974, 1682, 374, 741, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1682, 1184, 497, 275, 11282, 329, 456, 490, 204, 305, 456, 13, 2715, 13, 15554, 602, 204, 268, 827, 26285, 31, 204, 305, 314, 14221, 275, 3546, 1330, 6491, 353, 4151, 204, 305, 2280, 204, 204, 461, 13767, 68, 6298, 68, 1538, 68, 5891, 13, 15554, 31, 2497, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1739, 675, 1048, 437, 11282, 974, 273, 348, 3546, 19, 204, 204, 264, 457, 31, 204, 268, 11282, 322, 2062, 330, 334, 11282, 726, 311, 13767, 1048, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 11282, 974, 273, 348, 3546, 204, 264, 348, 1184, 292, 11282, 31, 204, 268, 314, 1198, 848, 1184, 292, 275, 11282, 204, 268, 456, 13, 1271, 17, 1136, 833, 6947, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 3599, 204, 264, 1763, 68, 5763, 289, 551, 22, 17, 435, 17, 571, 17, 681, 66, 204, 615, 264, 314, 666, 437, 11282, 204, 264, 3599, 68, 15554, 289, 838, 68, 5763, 68, 15554, 13, 2569, 68, 5763, 14, 204, 615, 264, 456, 499, 9970, 1070, 974, 1682, 374, 741, 2212, 204, 264, 13767, 68, 6298, 68, 2715, 68, 2539, 13, 5763, 68, 15554, 14, 204, 615, 264, 314, 4682, 48128, 618, 1698, 2284, 4533, 17, 572, 1519, 311, 28343, 490, 348, 275, 1682, 1763, 204, 264, 3599, 68, 15554, 289, 838, 68, 5763, 68, 15554, 13, 2569, 68, 5763, 14, 204, 615, 264, 456, 3273, 83, 9970, 1070, 974, 348, 3546, 2212, 204, 264, 13767, 68, 6298, 68, 1538, 68, 5891, 13, 5763, 68, 15554, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 2454, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 4143, 970, 1892, 497, 2599, 537, 17, 2457, 275, 2699, 329, 2344, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 2699, 329, 2344, 19, 204, 264, 320, 204, 264, 314, 1606, 970, 1892, 497, 2599, 537, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 2699, 17, 2344, 289, 2304, 13, 339, 17, 537, 499, 2101, 2699, 329, 2344, 322, 2816, 18, 7996, 330, 6165, 1590, 1447, 204, 305, 407, 2699, 17, 2344, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 970, 1892, 5289, 560, 273, 2817, 1280, 204, 204, 461, 1356, 68, 2124, 68, 266, 68, 4994, 13, 4994, 31, 421, 17, 2344, 31, 421, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 275, 800, 2344, 353, 1097, 348, 275, 800, 2699, 19, 204, 204, 264, 457, 31, 204, 268, 2699, 322, 339, 330, 334, 2699, 322, 22, 18, 1258, 789, 204, 268, 2344, 322, 339, 330, 334, 2344, 322, 22, 18, 5639, 789, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 2344, 353, 1097, 348, 275, 2699, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 968, 275, 542, 302, 3054, 292, 848, 2699, 204, 264, 3054, 68, 266, 68, 4994, 289, 463, 204, 268, 368, 31, 7207, 17, 226, 314, 10137, 204, 268, 435, 31, 4662, 17, 226, 314, 11788, 322, 24018, 1950, 18, 26517, 1324, 14, 204, 268, 571, 31, 7207, 17, 226, 314, 9402, 204, 268, 681, 31, 2468, 17, 226, 314, 9923, 204, 268, 720, 31, 7207, 17, 226, 314, 6903, 204, 268, 887, 31, 2468, 17, 226, 314, 9815, 204, 268, 1168, 31, 7207, 17, 226, 314, 10228, 204, 268, 1132, 31, 7207, 17, 226, 314, 9907, 204, 268, 1233, 31, 2468, 17, 226, 314, 11047, 204, 268, 931, 31, 7207, 17, 226, 314, 11261, 204, 268, 2958, 31, 2468, 17, 226, 314, 11639, 204, 268, 1598, 31, 7207, 226, 314, 11157, 204, 264, 1211, 204, 264, 314, 778, 397, 275, 2699, 353, 1097, 204, 264, 397, 2699, 962, 368, 521, 2699, 1323, 1598, 31, 204, 268, 980, 987, 499, 1962, 2699, 431, 204, 264, 314, 778, 397, 275, 2344, 353, 1097, 348, 275, 2699, 204, 264, 407, 368, 2186, 2344, 2186, 3054, 68, 266, 68, 4994, 64, 4994, 66, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 204, 264, 2699, 17, 2344, 289, 636, 68, 816, 68, 768, 374, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 2344, 353, 1097, 348, 275, 2699, 204, 268, 722, 289, 1356, 68, 2124, 68, 266, 68, 4994, 13, 4994, 17, 2344, 14, 204, 268, 456, 499, 12950, 7, 397, 722, 902, 388, 3882, 431, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 537, 289, 2454, 19, 10376, 19, 10969, 204, 264, 667, 374, 204, 0, 647, 9987, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 20987, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3301, 570, 348, 904, 1094, 17, 9530, 2323, 2357, 1702, 448, 13674, 17, 5247, 329, 1395, 18912, 17, 329, 575, 3877, 1995, 19, 204, 204, 264, 1532, 31, 204, 268, 13674, 322, 6383, 19, 15976, 330, 6581, 4634, 348, 275, 570, 1014, 19, 204, 268, 1966, 68, 269, 322, 2664, 330, 15811, 1330, 275, 570, 1014, 867, 1966, 19, 204, 268, 2908, 68, 269, 322, 2664, 330, 15811, 1330, 275, 570, 1014, 867, 1673, 2908, 19, 204, 268, 575, 68, 579, 322, 325, 330, 3877, 1995, 302, 275, 575, 1415, 1966, 521, 2908, 275, 570, 1014, 19, 204, 264, 320, 204, 204, 264, 314, 6581, 4634, 348, 275, 570, 1014, 204, 264, 1276, 289, 1094, 19, 33780, 13, 204, 268, 4408, 68, 644, 34, 1021, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17, 716, 268, 1540, 34, 6383, 19, 6383, 25, 17, 716, 268, 24335, 34, 1975, 17, 716, 268, 1863, 68, 998, 34, 1021, 17, 716, 268, 2220, 34, 1021, 17, 716, 268, 1340, 68, 492, 1022, 20771, 4634, 348, 275, 570, 1014, 7, 204, 264, 1179, 204, 204, 264, 314, 15811, 1330, 275, 570, 1014, 867, 1966, 204, 264, 1966, 68, 269, 289, 1094, 19, 6602, 13, 204, 268, 6545, 68, 1520, 68, 826, 34, 1021, 17, 716, 268, 1340, 68, 492, 1022, 20067, 1330, 275, 570, 1014, 867, 1966, 7, 204, 264, 1179, 204, 204, 264, 314, 15811, 1330, 275, 570, 1014, 867, 1673, 2908, 204, 264, 2908, 68, 269, 289, 1094, 19, 6602, 13, 204, 268, 6545, 68, 1520, 34, 1021, 17, 716, 268, 1340, 68, 492, 1022, 20067, 1330, 275, 570, 1014, 867, 1673, 2908, 7, 204, 264, 1179, 204, 204, 264, 314, 3877, 1995, 302, 275, 575, 1415, 1966, 521, 2908, 275, 570, 1014, 204, 264, 575, 68, 579, 289, 1094, 19, 27667, 46005, 632, 1023, 1186, 13, 204, 268, 3749, 34, 1021, 17, 716, 268, 4247, 34, 1021, 17, 716, 268, 24335, 34, 1975, 17, 716, 268, 1340, 68, 492, 1022, 6003, 1995, 302, 275, 575, 1415, 1966, 521, 2908, 275, 570, 1014, 7, 204, 264, 1179, 204, 204, 264, 850, 5694, 31, 204, 268, 314, 1359, 10003, 34, 1021, 311, 5068, 5959, 497, 4141, 273, 1104, 1435, 348, 808, 570, 204, 268, 10003, 289, 959, 204, 204, 8, 1165, 1265, 31, 204, 676, 2221, 13, 15542, 330, 204, 264, 2143, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 1692, 289, 1094, 19, 15478, 13, 5271, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 2574, 204, 0, 990, 11215, 17647, 22698, 14330, 3984, 1001, 19560, 28, 2903, 2500, 36885, 5639, 2544, 12625, 1638, 30608, 14330, 26324, 3541, 14330, 6841, 20743, 568, 6364, 1929, 3429, 12869, 17445, 408, 29, 4228, 1511, 11107, 1990, 16910, 460, 27008, 22698, 5552, 3304, 17486, 9905, 568, 204, 990, 11215, 17647, 22698, 14330, 3984, 1001, 3571, 16904, 14330, 1764, 2338, 14330, 26324, 3541, 37680, 1189, 3984, 6347, 4660, 47403, 5552, 4696, 725, 1191, 5552, 4696, 725, 23076, 15780, 26010, 4696, 1227, 22698, 15780, 26010, 4696, 17678, 408, 5718, 854, 14330, 26324, 3541, 20057, 39629, 47380, 34636, 2849, 6364, 568, 14330, 3984, 1189, 4438, 31420, 17678, 408, 3984, 3856, 3571, 49082, 24116, 3820, 4228, 37108, 3820, 568, 3984, 6347, 2498, 6935, 921, 29, 2903, 22, 2544, 13, 29236, 2544, 14, 24886, 28, 1398, 2188, 1789, 921, 17647, 19771, 12836, 14330, 11194, 8069, 18858, 17068, 14330, 1456, 408, 15020, 7224, 17526, 408, 2253, 46125, 28642, 28, 2903, 1641, 24829, 7342, 6097, 9780, 2704, 47254, 568, 204, 942, 18673, 2823, 16118, 30608, 14330, 2537, 6589, 6155, 6642, 408, 1432, 1638, 18884, 2860, 14672, 13874, 6478, 13874, 3653, 10369, 9905, 408, 2823, 5718, 6935, 4660, 6998, 22216, 27579, 460, 6128, 3455, 408, 1531, 684, 232, 22851, 13272, 568, 33325, 17445, 28070, 854, 26, 2903, 2300, 2544, 408, 31226, 4796, 26434, 14330, 26324, 3541, 27494, 568, 33871, 9198, 37505, 2860, 22969, 408, 1432, 5584, 2134, 5049, 5820, 1168, 6074, 24, 725, 1511, 5007, 39285, 4966, 2860, 5049, 5820, 16964, 3534, 568, 0, 658, 1687, 368, 31, 12775, 275, 800, 1581, 204, 673, 1581, 800, 353, 1743, 2883, 67, 23, 70, 338, 688, 2809, 67, 23, 70, 289, 368, 18, 23, 688, 2809, 67, 23, 70, 2176, 1785, 1519, 311, 3126, 329, 15469, 5620, 808, 12458, 1581, 19, 204, 204, 658, 1687, 435, 31, 20084, 4802, 12458, 18387, 204, 5842, 302, 275, 9728, 18387, 292, 26261, 353, 1743, 2883, 67, 23, 70, 465, 688, 2809, 67, 23, 70, 289, 368, 2176, 1058, 6572, 1120, 444, 11897, 348, 18656, 275, 800, 1581, 19, 204, 204, 658, 1687, 571, 31, 39469, 3432, 275, 4802, 6572, 311, 2216, 275, 800, 1581, 204, 7374, 275, 6572, 1743, 2883, 67, 23, 70, 465, 688, 2809, 67, 23, 70, 289, 368, 2543, 572, 618, 8314, 1743, 2883, 67, 23, 70, 9, 448, 686, 22, 338, 688, 2809, 67, 23, 70, 2176, 1058, 1660, 5628, 38347, 275, 3099, 311, 19687, 1743, 2883, 67, 23, 70, 2176, 204, 204, 658, 1687, 681, 31, 16641, 275, 2231, 348, 1743, 2883, 67, 23, 70, 9, 1025, 275, 800, 1581, 204, 18106, 686, 22, 338, 688, 2809, 67, 23, 70, 9, 348, 1743, 2883, 67, 23, 70, 9, 292, 275, 2171, 1581, 31, 7269, 22, 338, 688, 2809, 67, 23, 70, 14, 338, 688, 2809, 67, 23, 70, 289, 368, 338, 435, 65, 2809, 67, 23, 70, 2176, 1058, 11388, 311, 686, 22, 338, 435, 65, 2809, 67, 23, 70, 289, 368, 338, 435, 65, 2809, 67, 23, 70, 2543, 928, 29063, 275, 800, 1581, 19, 204, 204, 658, 1687, 720, 31, 25017, 3979, 974, 275, 6246, 2746, 2089, 204, 12129, 2501, 311, 2909, 630, 275, 1581, 1743, 2883, 67, 23, 70, 338, 688, 2809, 67, 23, 70, 9, 353, 311, 11506, 490, 448, 273, 798, 302, 275, 6246, 2746, 2089, 348, 10115, 17, 1743, 2809, 13, 23, 70, 14, 289, 688, 2809, 67, 23, 70, 338, 688, 2883, 67, 23, 70, 2176, 3355, 17, 2077, 5210, 3237, 867, 311, 3126, 329, 6767, 275, 800, 1581, 17, 928, 572, 9314, 3870, 1924, 11074, 329, 6572, 20131, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 22, 18, 23, 65, 2809, 67, 23, 70, 1617, 0, 647, 2010, 448, 645, 204, 531, 4277, 19, 19123, 532, 18818, 204, 531, 4277, 19, 809, 68, 7419, 532, 25774, 204, 531, 4277, 19, 11901, 532, 15086, 204, 531, 4277, 19, 5878, 532, 1895, 68, 43793, 17, 25023, 68, 18797, 68, 2224, 204, 204, 461, 951, 68, 2017, 68, 18883, 68, 8895, 13, 204, 264, 951, 68, 2226, 31, 645, 19, 766, 17, 716, 264, 469, 68, 1219, 31, 645, 19, 766, 17, 716, 264, 2044, 68, 1590, 31, 458, 17, 716, 264, 5807, 31, 394, 289, 379, 2854, 12031, 12, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 2672, 273, 1400, 8180, 5266, 974, 2333, 1813, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 951, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 2226, 322, 1123, 19, 766, 330, 7502, 2048, 19, 204, 264, 338, 469, 68, 1219, 322, 1123, 19, 766, 330, 7502, 1769, 19, 204, 264, 338, 2044, 68, 1590, 322, 655, 330, 14258, 18, 6877, 3404, 19, 204, 264, 338, 5807, 322, 325, 330, 20534, 5807, 322, 2305, 31, 379, 2854, 12031, 3930, 204, 204, 264, 475, 31, 204, 264, 338, 6020, 68, 809, 322, 46315, 330, 16728, 1400, 8180, 5266, 19, 204, 264, 338, 11850, 322, 15151, 11722, 330, 7383, 11850, 1376, 348, 2648, 12940, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 968, 23010, 25807, 2817, 204, 268, 314, 4496, 273, 955, 348, 4037, 12996, 204, 268, 26530, 68, 35806, 68, 3465, 289, 463, 204, 305, 379, 83, 68, 18718, 597, 551, 1003, 17, 2753, 17, 2031, 17, 5106, 17, 3861, 648, 716, 305, 379, 1129, 68, 5755, 597, 551, 1003, 17, 2753, 17, 1607, 17, 2031, 17, 5106, 66, 204, 268, 1211, 204, 204, 268, 314, 977, 1400, 8180, 5266, 329, 2333, 1813, 204, 268, 314, 4496, 273, 2363, 18383, 741, 348, 379, 2854, 12031, 12, 5807, 204, 268, 18383, 289, 1895, 68, 43793, 13, 12031, 68, 18797, 68, 2224, 14, 397, 5807, 564, 379, 2854, 12031, 12, 902, 5807, 204, 268, 26530, 289, 25774, 13, 204, 305, 13357, 34, 46315, 2144, 716, 305, 6941, 68, 2700, 34, 9235, 68, 35806, 68, 3465, 17, 716, 305, 300, 68, 10071, 8981, 22, 17, 716, 305, 2044, 34, 4869, 68, 1590, 17, 716, 305, 2874, 34, 23, 17, 716, 305, 18383, 34, 34457, 17, 716, 305, 304, 2714, 34, 1021, 204, 268, 1179, 204, 204, 268, 314, 12155, 2048, 974, 2599, 11850, 204, 268, 314, 4496, 273, 7490, 741, 348, 12940, 1784, 444, 1182, 16352, 204, 268, 11850, 289, 15086, 374, 204, 268, 10488, 68, 1219, 68, 2226, 289, 11850, 19, 2714, 68, 4072, 13, 1219, 68, 2226, 14, 204, 204, 268, 314, 2672, 1400, 8180, 5266, 204, 268, 26530, 19, 2714, 13, 13050, 68, 1219, 68, 2226, 17, 469, 68, 1219, 14, 204, 204, 268, 407, 26530, 19, 6222, 68, 16247, 14596, 11850, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 521, 456, 908, 943, 204, 268, 456, 13, 75, 7, 596, 1737, 1400, 8180, 5266, 31, 463, 74, 743, 204, 268, 980, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1672, 424, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 951, 68, 2226, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 931, 14, 204, 264, 469, 68, 1219, 289, 645, 19, 2017, 19, 5574, 13, 21, 17, 435, 17, 1607, 14, 204, 264, 2044, 68, 1590, 289, 720, 204, 204, 264, 314, 2672, 275, 570, 204, 264, 6020, 68, 809, 17, 11850, 289, 951, 68, 2017, 68, 18883, 68, 8895, 13, 1219, 68, 2226, 17, 469, 68, 1219, 17, 2044, 68, 1590, 14, 204, 204, 264, 314, 1198, 275, 2765, 2072, 329, 275, 2765, 2279, 204, 264, 456, 499, 19127, 4435, 31, 6277, 6020, 68, 809, 19, 505, 68, 2645, 1447, 204, 264, 456, 499, 19127, 13639, 31, 6277, 6020, 68, 809, 19, 2224, 13, 20908, 19, 4072, 13, 1219, 68, 2226, 659, 469, 68, 1219, 602, 204, 0, 531, 1498, 532, 783, 17, 1535, 204, 531, 20927, 68, 32625, 532, 5496, 596, 17, 2601, 204, 204, 676, 25891, 2940, 13, 2940, 330, 204, 264, 320, 2940, 7514, 348, 1104, 1727, 2744, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 908, 31, 5496, 596, 330, 204, 268, 370, 19, 718, 289, 908, 204, 268, 370, 19, 1454, 289, 283, 7, 7073, 1727, 908, 31, 463, 718, 2495, 204, 268, 2234, 3853, 924, 889, 327, 19, 1454, 14, 204, 204, 676, 5496, 26580, 1334, 93, 992, 13, 2940, 330, 204, 264, 320, 2940, 7514, 348, 1104, 412, 1972, 2744, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 908, 31, 5496, 596, 330, 204, 268, 370, 19, 718, 289, 908, 204, 268, 370, 19, 1454, 289, 283, 7, 7073, 412, 1972, 908, 31, 463, 718, 2495, 204, 268, 2234, 3853, 924, 889, 327, 19, 1454, 14, 204, 204, 676, 5496, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 1104, 1727, 19, 204, 204, 264, 1532, 31, 204, 268, 2143, 322, 325, 330, 334, 1104, 2143, 19, 204, 268, 1482, 322, 325, 330, 334, 1104, 1482, 19, 204, 268, 2601, 68, 1031, 322, 325, 330, 334, 1104, 1727, 782, 19, 204, 268, 1727, 322, 4437, 64, 5064, 1037, 334, 1104, 1727, 726, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2143, 31, 394, 17, 1482, 31, 394, 17, 2601, 68, 1031, 31, 394, 330, 204, 268, 320, 204, 268, 977, 273, 717, 1104, 1727, 19, 204, 204, 268, 457, 31, 204, 305, 2143, 322, 325, 330, 334, 1104, 2143, 19, 204, 305, 1482, 322, 325, 330, 334, 1104, 1482, 19, 204, 305, 2601, 68, 1031, 322, 325, 330, 334, 1104, 1727, 782, 19, 204, 268, 320, 204, 268, 370, 19, 2574, 289, 2143, 204, 268, 370, 19, 1989, 289, 1482, 204, 268, 370, 19, 2933, 68, 1031, 289, 2601, 68, 1031, 204, 268, 370, 19, 2602, 289, 443, 204, 204, 264, 436, 2601, 68, 633, 68, 2819, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9050, 273, 1727, 311, 275, 1104, 19, 204, 204, 268, 1632, 31, 204, 305, 25891, 2940, 31, 828, 273, 1104, 1727, 908, 3459, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 9050, 273, 1727, 311, 275, 1104, 204, 305, 370, 19, 2602, 289, 2601, 13, 204, 485, 575, 34, 327, 19, 2574, 17, 204, 485, 1482, 34, 327, 19, 1989, 17, 204, 485, 303, 6190, 34, 327, 19, 2933, 68, 1031, 204, 305, 1179, 204, 268, 827, 5496, 596, 448, 318, 31, 204, 305, 314, 5149, 273, 2363, 2710, 348, 1104, 1727, 2744, 204, 305, 980, 25891, 2940, 13, 74, 14, 204, 204, 264, 436, 4490, 68, 2120, 13, 327, 17, 1484, 31, 394, 17, 8523, 68, 1309, 31, 783, 64, 1386, 66, 289, 10336, 393, 443, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 268, 320, 204, 268, 5635, 273, 4053, 1484, 19, 204, 204, 268, 457, 31, 204, 305, 1484, 322, 325, 330, 334, 4053, 1484, 311, 4490, 19, 204, 305, 8523, 68, 1309, 322, 1218, 64, 1386, 648, 1448, 330, 334, 8523, 1019, 348, 275, 1484, 19, 1243, 311, 44138, 204, 204, 268, 1632, 31, 204, 305, 5496, 26580, 1334, 93, 992, 31, 828, 273, 1104, 412, 1972, 908, 3459, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 666, 273, 3370, 726, 311, 4490, 275, 1484, 204, 305, 3370, 289, 370, 19, 2602, 19, 4322, 374, 204, 305, 314, 5635, 275, 1484, 440, 8523, 1019, 204, 305, 3370, 19, 4118, 13, 2120, 17, 8523, 68, 1309, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 370, 19, 2602, 19, 4827, 374, 204, 268, 827, 5496, 596, 448, 318, 31, 204, 305, 314, 5149, 273, 2363, 2710, 348, 1104, 412, 1972, 2744, 204, 305, 980, 5496, 26580, 1334, 93, 992, 13, 74, 14, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 726, 204, 305, 397, 379, 4322, 12, 292, 24650, 1293, 204, 485, 3370, 19, 3529, 374, 204, 204, 264, 436, 3671, 68, 2602, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5706, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1727, 353, 7634, 204, 268, 397, 370, 19, 2602, 31, 204, 305, 314, 5706, 275, 1727, 204, 305, 370, 19, 2602, 19, 3529, 374, 204, 305, 314, 8715, 275, 1727, 726, 204, 305, 370, 19, 2602, 289, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1104, 726, 204, 264, 1863, 289, 5496, 499, 2574, 528, 388, 1989, 528, 388, 2933, 68, 1031, 431, 204, 615, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 204, 268, 1863, 19, 2933, 68, 633, 68, 2819, 374, 204, 822, 268, 314, 5635, 273, 1484, 204, 268, 1484, 289, 388, 7097, 540, 7281, 1435, 68, 417, 7, 204, 268, 1863, 19, 4118, 68, 2120, 13, 2120, 14, 204, 822, 264, 827, 322, 7073, 5064, 2940, 17, 5496, 26580, 1334, 93, 992, 14, 448, 318, 31, 204, 268, 314, 1426, 1104, 2805, 204, 268, 456, 13, 74, 14, 204, 264, 6666, 31, 204, 268, 314, 5706, 275, 1104, 1727, 204, 268, 1863, 19, 3529, 68, 2602, 374, 204, 0, 647, 1127, 204, 647, 2454, 204, 647, 690, 204, 531, 1498, 532, 1535, 204, 204, 461, 636, 68, 1976, 68, 5154, 68, 417, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 275, 588, 302, 275, 790, 3467, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 588, 302, 275, 790, 3467, 19, 204, 264, 320, 204, 264, 407, 1127, 19, 546, 19, 11498, 13, 4807, 19, 4983, 64, 21, 694, 204, 204, 461, 838, 68, 5192, 374, 393, 394, 31, 204, 264, 320, 204, 264, 475, 273, 4521, 292, 275, 1883, 27445, 44724, 19205, 6688, 2740, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4521, 292, 275, 1883, 27445, 44724, 19205, 6688, 2740, 19, 204, 264, 320, 204, 264, 407, 690, 19, 7899, 10728, 62, 10, 82, 10, 73, 10, 45, 10, 50, 10, 56, 431, 204, 204, 461, 15549, 68, 2375, 13, 2100, 68, 546, 31, 394, 17, 717, 68, 417, 68, 4830, 31, 394, 17, 711, 68, 553, 68, 417, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 36297, 1860, 292, 275, 800, 1445, 560, 5209, 275, 717, 588, 4016, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 1860, 311, 15549, 19, 204, 268, 717, 68, 417, 68, 4830, 322, 325, 330, 334, 4016, 311, 881, 311, 275, 7830, 302, 848, 510, 588, 19, 204, 268, 711, 68, 553, 68, 417, 322, 325, 330, 334, 588, 302, 275, 711, 510, 311, 2281, 311, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 1860, 27959, 19, 204, 264, 320, 204, 264, 314, 977, 273, 4328, 348, 275, 542, 302, 1860, 27959, 204, 264, 510, 68, 765, 289, 500, 204, 615, 264, 314, 1861, 1048, 848, 510, 292, 275, 1445, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 2100, 68, 546, 330, 204, 268, 314, 778, 397, 275, 510, 353, 508, 273, 1445, 329, 1583, 508, 1012, 440, 275, 717, 588, 4016, 204, 268, 397, 508, 1127, 19, 546, 19, 16249, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 602, 329, 508, 510, 19, 7209, 13, 1957, 68, 417, 68, 4830, 14, 329, 510, 2167, 636, 68, 1976, 68, 5154, 68, 417, 1293, 204, 305, 314, 666, 275, 717, 510, 588, 560, 5209, 275, 4016, 311, 275, 2171, 510, 588, 204, 305, 717, 68, 553, 68, 417, 289, 717, 68, 417, 68, 4830, 465, 510, 204, 3123, 305, 810, 31, 204, 485, 314, 3289, 311, 15549, 275, 510, 204, 485, 1127, 19, 14925, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 510, 659, 1127, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 717, 68, 553, 68, 417, 602, 204, 485, 314, 7415, 275, 510, 1040, 204, 485, 510, 68, 765, 1412, 368, 204, 485, 314, 3025, 273, 711, 2901, 348, 275, 510, 15549, 2661, 204, 485, 2106, 68, 761, 68, 4320, 13, 2100, 68, 546, 17, 711, 68, 553, 68, 417, 17, 510, 17, 717, 68, 553, 68, 417, 17, 510, 68, 765, 14, 204, 305, 827, 12368, 448, 318, 31, 204, 485, 314, 1426, 1169, 2744, 496, 1336, 1882, 275, 510, 15549, 2661, 204, 485, 456, 13, 75, 7, 596, 30811, 510, 463, 553, 2829, 463, 74, 743, 204, 615, 264, 314, 455, 275, 1113, 542, 302, 1860, 27959, 204, 264, 407, 510, 68, 765, 204, 204, 461, 2106, 68, 761, 68, 4320, 13, 2100, 68, 546, 31, 394, 17, 711, 68, 553, 68, 417, 31, 394, 17, 2171, 68, 553, 68, 417, 31, 394, 17, 717, 68, 553, 68, 417, 31, 394, 17, 510, 68, 765, 31, 421, 14, 393, 443, 31, 204, 264, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 320, 204, 264, 9716, 273, 711, 2901, 311, 275, 800, 711, 510, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 711, 510, 19, 204, 268, 711, 68, 553, 68, 417, 322, 325, 330, 334, 588, 302, 275, 711, 510, 311, 2281, 311, 19, 204, 268, 2171, 68, 553, 68, 417, 322, 325, 330, 334, 2171, 510, 588, 19, 204, 268, 717, 68, 553, 68, 417, 322, 325, 330, 334, 717, 510, 588, 19, 204, 268, 510, 68, 765, 322, 339, 330, 334, 542, 302, 1860, 27959, 754, 4935, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 3101, 832, 311, 275, 711, 510, 204, 264, 711, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 711, 68, 553, 68, 417, 14, 204, 615, 264, 314, 3594, 275, 711, 510, 292, 6283, 2291, 204, 264, 440, 1451, 13, 761, 68, 553, 68, 546, 17, 388, 70, 431, 448, 711, 68, 553, 31, 204, 268, 314, 3400, 275, 711, 2901, 311, 275, 510, 204, 268, 711, 68, 553, 19, 2206, 13, 75, 1954, 553, 68, 765, 2829, 16208, 4235, 6228, 68, 553, 68, 417, 2277, 89, 8288, 2576, 15869, 89, 1047, 4235, 1957, 68, 553, 68, 417, 2277, 83, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1445, 832, 302, 275, 790, 3467, 204, 264, 3467, 68, 2100, 68, 546, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 13, 4807, 19, 4983, 64, 21, 4513, 204, 615, 264, 314, 666, 273, 4521, 348, 275, 711, 510, 588, 204, 264, 711, 68, 553, 68, 417, 289, 283, 7, 3044, 19324, 1859, 1510, 68, 5192, 374, 3572, 3039, 7, 204, 615, 264, 314, 1198, 273, 943, 311, 8956, 275, 1012, 302, 275, 510, 15549, 2661, 204, 264, 456, 499, 13858, 8450, 12386, 23465, 27442, 41546, 431, 204, 615, 264, 314, 778, 397, 273, 717, 588, 4016, 867, 1917, 448, 273, 1354, 18, 1054, 4601, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 1323, 368, 31, 204, 268, 314, 1974, 275, 1917, 717, 588, 4016, 204, 268, 717, 68, 417, 68, 4830, 289, 2454, 19, 4983, 64, 22, 66, 204, 264, 902, 31, 204, 268, 314, 1974, 273, 1540, 717, 588, 4016, 397, 11077, 867, 1917, 204, 268, 717, 68, 417, 68, 4830, 289, 41341, 204, 615, 264, 314, 12596, 275, 1860, 292, 275, 1445, 204, 264, 510, 68, 765, 289, 15549, 68, 2375, 13, 5154, 68, 2100, 68, 546, 17, 717, 68, 417, 68, 4830, 17, 711, 68, 553, 68, 417, 14, 204, 615, 264, 314, 1198, 273, 943, 311, 8956, 275, 1136, 302, 275, 510, 15549, 2661, 204, 264, 456, 499, 8288, 2576, 6627, 14047, 12386, 23465, 28267, 27442, 5397, 204, 615, 264, 314, 778, 397, 1169, 1860, 1466, 27959, 204, 264, 397, 510, 68, 765, 564, 500, 31, 204, 268, 314, 1198, 273, 943, 397, 1236, 1860, 1466, 27959, 204, 268, 456, 3273, 83, 3882, 1860, 7716, 431, 204, 264, 902, 31, 204, 268, 314, 1198, 273, 943, 440, 275, 1113, 542, 302, 1860, 27959, 204, 268, 456, 13, 75, 7979, 83, 6425, 463, 553, 68, 765, 98, 1860, 7716, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 838, 68, 574, 68, 531, 68, 655, 13, 481, 31, 458, 14, 393, 758, 31, 204, 264, 320, 204, 264, 2605, 273, 758, 497, 273, 458, 302, 1842, 17, 7057, 9991, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 655, 330, 332, 458, 302, 1842, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 332, 758, 302, 2220, 1842, 19, 204, 264, 320, 204, 264, 314, 2208, 275, 458, 311, 273, 758, 311, 3142, 9991, 204, 264, 407, 758, 13, 481, 14, 204, 204, 204, 461, 10807, 68, 3604, 13, 574, 22, 31, 758, 17, 758, 23, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 264, 43249, 970, 3416, 1025, 273, 2875, 758, 19, 204, 204, 264, 457, 31, 204, 268, 758, 22, 322, 574, 330, 334, 1043, 758, 19, 204, 268, 758, 23, 322, 574, 330, 334, 1350, 758, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 8651, 302, 275, 970, 3416, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 8651, 1216, 311, 10807, 275, 3416, 204, 264, 407, 758, 22, 19, 15565, 13, 574, 23, 14, 204, 204, 204, 461, 881, 68, 1849, 68, 633, 68, 574, 13, 1849, 31, 421, 17, 537, 68, 574, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 264, 5276, 437, 1103, 311, 273, 758, 19, 204, 204, 264, 457, 31, 204, 268, 1103, 322, 339, 330, 334, 1103, 311, 881, 19, 204, 268, 537, 68, 574, 322, 574, 330, 334, 758, 311, 881, 275, 1103, 311, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 2908, 758, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4028, 302, 275, 537, 758, 311, 4516, 11227, 275, 2171, 204, 264, 2908, 68, 574, 289, 537, 68, 574, 19, 3462, 374, 204, 264, 314, 1255, 275, 1103, 311, 275, 2908, 758, 204, 264, 2908, 68, 574, 19, 826, 13, 1849, 14, 204, 264, 407, 2908, 68, 574, 204, 204, 204, 461, 5400, 68, 574, 13, 574, 22, 31, 758, 17, 758, 23, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 264, 34524, 1051, 758, 497, 3161, 19, 204, 204, 264, 457, 31, 204, 268, 758, 22, 322, 574, 330, 334, 1043, 758, 19, 204, 268, 758, 23, 322, 574, 330, 334, 1350, 758, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 2712, 1283, 275, 970, 3416, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 2712, 1216, 311, 5400, 275, 3416, 204, 264, 407, 758, 22, 19, 7728, 13, 574, 23, 14, 204, 204, 204, 461, 10351, 68, 3604, 13, 574, 22, 31, 758, 17, 758, 23, 31, 758, 14, 393, 758, 31, 204, 264, 320, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 6746, 275, 6907, 302, 970, 3416, 19, 204, 204, 264, 457, 31, 204, 268, 758, 22, 322, 574, 330, 334, 1043, 758, 19, 204, 268, 758, 23, 322, 574, 330, 334, 1350, 758, 19, 204, 204, 264, 475, 31, 204, 268, 758, 31, 334, 6907, 302, 275, 970, 3416, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 6907, 1216, 311, 1020, 275, 2323, 1842, 204, 264, 407, 758, 22, 19, 15158, 13, 574, 23, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 3416, 204, 264, 2220, 68, 481, 289, 838, 68, 574, 68, 531, 68, 655, 1568, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 720, 694, 204, 264, 456, 499, 20771, 424, 2180, 2220, 68, 481, 14, 204, 204, 264, 1392, 68, 574, 289, 758, 34136, 204, 264, 456, 499, 17230, 758, 2180, 1392, 68, 574, 17, 1187, 13, 4868, 68, 574, 602, 204, 264, 456, 499, 8368, 700, 302, 1392, 758, 2180, 1109, 13, 4868, 68, 574, 602, 204, 204, 264, 758, 22, 289, 463, 22, 17, 435, 17, 571, 17, 681, 17, 720, 98, 204, 264, 758, 23, 289, 463, 27, 17, 1168, 17, 1132, 17, 1233, 17, 931, 98, 204, 204, 264, 314, 9587, 3416, 204, 264, 6571, 68, 574, 289, 10807, 68, 3604, 13, 574, 22, 17, 758, 23, 14, 204, 264, 456, 499, 40262, 758, 2180, 6571, 68, 574, 14, 204, 264, 456, 499, 36765, 2755, 348, 6571, 758, 2180, 7892, 13, 16854, 68, 574, 602, 204, 204, 264, 314, 1255, 1103, 311, 758, 204, 264, 2908, 68, 574, 289, 881, 68, 1849, 68, 633, 68, 574, 13, 1641, 17, 6571, 68, 574, 14, 204, 264, 456, 499, 10510, 758, 1877, 5209, 1103, 2180, 2908, 68, 574, 14, 204, 204, 264, 314, 10121, 3416, 204, 264, 2712, 289, 5400, 68, 574, 13, 8107, 68, 574, 17, 758, 22, 14, 204, 264, 456, 499, 24887, 1283, 2908, 758, 329, 758, 22, 2180, 2712, 14, 204, 204, 264, 314, 5181, 6483, 3416, 204, 264, 6907, 289, 10351, 68, 3604, 13, 574, 22, 17, 2712, 14, 204, 264, 456, 499, 34870, 302, 758, 22, 329, 2712, 2180, 6907, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 47946, 12907, 1398, 4796, 31135, 2183, 5452, 13444, 16032, 8709, 34659, 2704, 408, 1254, 8181, 8376, 9308, 2065, 30231, 568, 204, 5182, 15313, 831, 3716, 22798, 408, 23294, 22047, 13261, 34797, 408, 12094, 26106, 15032, 11755, 408, 2526, 5843, 34527, 725, 5381, 1572, 37136, 725, 6791, 7407, 3380, 22302, 8297, 725, 38187, 8270, 4127, 725, 5381, 3977, 3716, 7536, 14617, 6577, 22424, 921, 5182, 5335, 5579, 568, 8333, 1984, 5182, 14843, 11787, 942, 27, 3145, 3004, 39026, 3064, 27988, 725, 26764, 1524, 32213, 7080, 42876, 15860, 6390, 22047, 13261, 1984, 12094, 1984, 5182, 11787, 942, 2682, 9396, 4330, 3004, 39026, 12094, 22047, 408, 8830, 1284, 5241, 25552, 34797, 408, 33748, 17179, 30067, 309, 668, 725, 44955, 10451, 725, 46523, 8356, 4901, 9980, 725, 7764, 3419, 2729, 12094, 12175, 1955, 22330, 22047, 568, 14151, 19959, 1984, 24812, 14843, 11787, 942, 4838, 26, 38230, 14151, 13507, 6299, 7342, 6841, 29475, 19959, 8333, 1984, 5182, 14843, 11787, 942, 27988, 725, 26764, 1955, 6390, 22047, 13261, 12094, 1984, 5182, 942, 2682, 9396, 4330, 3004, 39026, 12094, 22047, 408, 8830, 1284, 5241, 25552, 34797, 408, 33748, 37136, 725, 15860, 28957, 12094, 11095, 2299, 725, 14151, 3419, 2729, 12094, 12175, 568, 19959, 1984, 24812, 14843, 11787, 942, 4838, 6245, 4330, 48426, 19959, 568, 0, 647, 4378, 19, 5380, 448, 1513, 204, 531, 318, 3912, 532, 13186, 45, 453, 72, 989, 17, 13186, 42, 3912, 17, 15065, 45, 453, 72, 989, 17, 15065, 42, 3912, 17, 954, 68, 1474, 204, 531, 3737, 532, 3737, 226, 314, 6652, 3737, 353, 273, 2413, 440, 3454, 204, 204, 461, 1137, 68, 3909, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 15065, 45, 453, 72, 989, 31, 204, 264, 320, 204, 264, 1385, 2413, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 15065, 45, 453, 72, 989, 31, 9387, 2413, 424, 19, 204, 264, 320, 204, 264, 407, 15065, 45, 453, 72, 989, 13, 553, 68, 546, 14, 204, 204, 461, 1137, 68, 4039, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 13186, 45, 453, 72, 989, 31, 204, 264, 320, 204, 264, 1385, 2092, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 13186, 45, 453, 72, 989, 31, 9387, 2092, 424, 19, 204, 264, 320, 204, 264, 407, 13186, 45, 453, 72, 989, 13, 553, 68, 546, 14, 204, 204, 461, 949, 68, 3909, 68, 979, 82, 13, 481, 68, 3909, 31, 15065, 45, 453, 72, 989, 17, 3737, 14, 393, 927, 64, 3732, 42, 3912, 17, 458, 744, 204, 264, 320, 204, 264, 888, 275, 471, 7206, 348, 275, 2413, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 3909, 322, 3732, 45, 453, 72, 989, 330, 9387, 2413, 424, 19, 204, 268, 3737, 31, 4435, 348, 275, 471, 7206, 4183, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 3732, 42, 3912, 17, 458, 744, 39591, 471, 7206, 329, 6264, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 15065, 42, 3912, 1014, 204, 264, 318, 3912, 68, 3909, 289, 15065, 42, 3912, 13, 481, 68, 3909, 17, 3737, 14, 204, 615, 264, 314, 888, 275, 1259, 302, 6979, 204, 264, 15757, 68, 3909, 289, 318, 3912, 68, 3909, 19, 39520, 374, 204, 615, 264, 314, 888, 275, 1451, 6783, 6264, 329, 904, 2072, 204, 264, 1256, 91, 68, 3909, 17, 6915, 6915, 376, 15427, 68, 3909, 17, 1264, 15427, 68, 3909, 289, 318, 3912, 68, 3909, 19, 912, 91, 13, 39520, 68, 3909, 17, 33165, 34, 1021, 14, 204, 615, 264, 314, 888, 275, 5825, 4185, 5692, 204, 264, 30680, 6340, 68, 3909, 289, 318, 3912, 68, 3909, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 12470, 68, 2714, 68, 26657, 13, 979, 82, 68, 3909, 19, 4266, 68, 7734, 72, 17, 720, 14, 204, 615, 264, 314, 888, 275, 468, 294, 2854, 204, 264, 468, 294, 2854, 68, 3909, 289, 318, 3912, 68, 3909, 19, 87, 294, 2854, 68, 7734, 72, 13, 35109, 68, 3909, 14, 204, 615, 264, 314, 888, 275, 6264, 204, 264, 48848, 68, 3909, 289, 318, 3912, 68, 3909, 19, 34332, 13, 39520, 68, 3909, 17, 1256, 91, 68, 3909, 17, 468, 294, 2854, 68, 3909, 14, 204, 615, 264, 407, 318, 3912, 68, 3909, 17, 48848, 68, 3909, 204, 204, 461, 949, 68, 4039, 68, 979, 82, 13, 481, 68, 4039, 31, 13186, 45, 453, 72, 989, 17, 424, 68, 3909, 31, 15065, 45, 453, 72, 989, 17, 3737, 14, 393, 927, 64, 13446, 42, 3912, 17, 458, 744, 204, 264, 320, 204, 264, 888, 275, 471, 7206, 348, 275, 2092, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 4039, 322, 13446, 45, 453, 72, 989, 330, 9387, 2092, 424, 19, 204, 268, 424, 68, 3909, 322, 3732, 45, 453, 72, 989, 330, 9387, 2413, 424, 19, 204, 268, 3737, 31, 4435, 348, 275, 471, 7206, 4183, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 13446, 42, 3912, 17, 458, 744, 39591, 471, 7206, 329, 6264, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 13186, 42, 3912, 1014, 204, 264, 318, 3912, 68, 4039, 289, 13186, 42, 3912, 13, 481, 68, 4039, 17, 3737, 14, 204, 615, 264, 314, 1359, 275, 790, 17, 690, 17, 329, 3259, 68, 4039, 204, 264, 318, 3912, 68, 4039, 19, 1976, 289, 424, 68, 3909, 19, 1976, 802, 435, 204, 264, 318, 3912, 68, 4039, 19, 834, 289, 424, 68, 3909, 19, 834, 204, 264, 318, 3912, 68, 4039, 19, 86, 68, 4039, 289, 3737, 19, 86, 68, 3909, 802, 435, 204, 615, 264, 314, 888, 275, 1259, 302, 6979, 204, 264, 15757, 68, 4039, 289, 318, 3912, 68, 4039, 19, 39520, 374, 204, 615, 264, 314, 888, 275, 1451, 6783, 6264, 204, 264, 318, 3912, 68, 3909, 17, 906, 289, 949, 68, 3909, 68, 979, 82, 13, 481, 68, 3909, 17, 3737, 14, 204, 264, 1256, 91, 68, 4039, 289, 318, 3912, 68, 4039, 19, 912, 91, 13, 39520, 68, 4039, 17, 376, 95, 68, 15427, 3644, 979, 82, 68, 3909, 19, 91, 15427, 17, 318, 3912, 68, 3909, 19, 95, 15427, 602, 204, 615, 264, 314, 888, 275, 6264, 204, 264, 48848, 68, 4039, 289, 318, 3912, 68, 4039, 19, 34332, 13, 39520, 68, 4039, 17, 1256, 91, 68, 4039, 17, 318, 3912, 68, 3909, 19, 87, 294, 2854, 68, 7734, 72, 13, 979, 82, 68, 3909, 19, 12470, 68, 2714, 68, 26657, 13, 979, 82, 68, 3909, 19, 4266, 68, 7734, 72, 17, 720, 3694, 204, 615, 264, 407, 318, 3912, 68, 4039, 17, 48848, 68, 4039, 204, 204, 461, 1807, 68, 2826, 13, 979, 82, 68, 3909, 31, 15065, 42, 3912, 17, 48848, 68, 3909, 31, 458, 17, 318, 3912, 68, 4039, 31, 13186, 42, 3912, 17, 48848, 68, 4039, 31, 458, 17, 424, 68, 3909, 31, 15065, 45, 453, 72, 989, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 318, 3912, 68, 3909, 322, 3732, 42, 3912, 330, 39591, 2413, 471, 7206, 19, 204, 268, 48848, 68, 3909, 322, 655, 330, 39591, 2413, 6264, 19, 204, 268, 318, 3912, 68, 4039, 322, 13446, 42, 3912, 330, 39591, 2092, 471, 7206, 19, 204, 268, 48848, 68, 4039, 322, 655, 330, 39591, 2092, 6264, 19, 204, 268, 424, 68, 3909, 322, 3732, 45, 453, 72, 989, 330, 9387, 2413, 424, 19, 204, 264, 320, 204, 264, 314, 3045, 275, 1259, 302, 6979, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 834, 17, 318, 3912, 68, 3909, 19, 39520, 2144, 379, 82, 491, 1800, 833, 3909, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 4039, 19, 834, 17, 318, 3912, 68, 4039, 19, 39520, 2144, 379, 80, 582, 491, 1800, 833, 4039, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 5059, 302, 6979, 8308, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 1451, 6783, 6264, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 39520, 2144, 318, 3912, 68, 3909, 19, 912, 91, 13, 979, 82, 68, 3909, 19, 39520, 2144, 33165, 34, 1021, 5604, 21, 648, 379, 40, 22, 491, 1800, 833, 3909, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 95, 15427, 17, 318, 3912, 68, 3909, 19, 91, 15427, 17, 379, 40, 22, 84, 491, 1800, 833, 3909, 33165, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 5059, 302, 6979, 8308, 19160, 379, 10936, 6783, 6264, 551, 59, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 6264, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 3909, 19, 834, 17, 48848, 68, 3909, 17, 379, 40, 24, 491, 1800, 833, 3909, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 4039, 19, 834, 17, 48848, 68, 4039, 17, 379, 80, 582, 491, 1800, 833, 4039, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 45942, 551, 59, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 6264, 7448, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 481, 68, 3909, 19, 834, 17, 424, 68, 3909, 19, 18143, 17, 379, 40, 24, 491, 1800, 833, 3909, 424, 534, 204, 264, 1711, 19, 1657, 13, 979, 82, 68, 4039, 19, 834, 17, 48848, 68, 4039, 17, 379, 80, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 582, 491, 1800, 833, 4039, 318, 3912, 534, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 45942, 551, 59, 66, 2008, 1488, 833, 6222, 534, 204, 204, 264, 314, 3045, 275, 4923, 6264, 2712, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 14923, 68, 4478, 34, 1021, 14, 204, 264, 1711, 19, 1657, 13, 481, 68, 3909, 19, 834, 17, 7041, 13, 481, 68, 3909, 19, 18143, 338, 48848, 68, 4039, 602, 204, 264, 954, 68, 1474, 13, 1474, 17, 11412, 2185, 21383, 3103, 551, 88, 19160, 379, 34121, 6264, 2712, 551, 59, 66, 3063, 204, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 968, 275, 510, 3630, 204, 264, 510, 68, 3909, 289, 14336, 481, 20, 3909, 22, 18, 13486, 2441, 18, 4452, 3901, 18, 3787, 18645, 19, 2039, 12, 204, 264, 510, 68, 4039, 289, 14336, 481, 20, 4039, 18, 737, 18, 1976, 18, 77, 453, 72, 18, 1511, 72, 18, 23, 19, 2039, 12, 204, 204, 264, 314, 1385, 275, 424, 204, 264, 424, 68, 3909, 289, 1137, 68, 3909, 68, 481, 13, 553, 68, 3909, 14, 204, 264, 424, 68, 4039, 289, 1137, 68, 4039, 68, 481, 13, 553, 68, 4039, 14, 204, 204, 264, 314, 888, 275, 471, 7206, 204, 264, 318, 3912, 68, 3909, 17, 48848, 68, 3909, 289, 949, 68, 3909, 68, 979, 82, 13, 481, 68, 3909, 17, 3737, 14, 204, 264, 318, 3912, 68, 4039, 17, 48848, 68, 4039, 289, 949, 68, 4039, 68, 979, 82, 13, 481, 68, 4039, 17, 424, 68, 3909, 17, 3737, 14, 204, 204, 264, 314, 3045, 275, 1563, 204, 264, 1807, 68, 2826, 13, 979, 82, 68, 3909, 17, 48848, 68, 3909, 17, 318, 3912, 68, 4039, 17, 48848, 68, 4039, 17, 424, 68, 3909, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 18552, 1460, 19, 41823, 532, 23689, 204, 647, 690, 204, 204, 8, 968, 3454, 348, 2254, 3003, 204, 676, 10617, 2191, 31, 204, 264, 320, 7554, 348, 2254, 3003, 1279, 204, 264, 8018, 10708, 289, 13326, 204, 264, 501, 4629, 2740, 289, 1607, 204, 264, 48874, 10226, 289, 3139, 204, 264, 501, 4629, 2740, 68, 53, 2313, 42, 289, 1199, 204, 264, 332, 9481, 289, 500, 204, 264, 9080, 1452, 289, 42759, 204, 204, 676, 9354, 31, 204, 264, 320, 204, 264, 2646, 273, 4554, 292, 275, 23689, 2688, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 4554, 19, 204, 268, 610, 68, 1932, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 4554, 19, 204, 268, 469, 68, 1932, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 4554, 19, 204, 268, 1264, 68, 1932, 322, 339, 330, 334, 1264, 18, 3936, 302, 275, 4554, 19, 204, 268, 1277, 322, 339, 330, 334, 1277, 302, 275, 4554, 19, 204, 268, 2198, 322, 339, 330, 334, 2198, 302, 275, 4554, 19, 204, 268, 1853, 322, 339, 330, 334, 1853, 302, 275, 4554, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 610, 68, 1932, 31, 421, 17, 469, 68, 1932, 31, 421, 17, 1264, 68, 1932, 31, 421, 17, 1277, 31, 421, 17, 2198, 31, 421, 17, 1853, 31, 421, 330, 204, 268, 320, 204, 268, 977, 273, 9354, 726, 19, 204, 204, 268, 1164, 2394, 588, 31, 334, 588, 302, 275, 4554, 204, 268, 1164, 2394, 610, 68, 1932, 31, 334, 610, 18, 3936, 302, 275, 4554, 204, 268, 1164, 2394, 469, 68, 1932, 31, 334, 469, 18, 3936, 302, 275, 4554, 204, 268, 1164, 2394, 1264, 68, 1932, 31, 334, 1264, 18, 3936, 302, 275, 4554, 204, 268, 1164, 2394, 1277, 31, 334, 1277, 302, 275, 4554, 204, 268, 1164, 2394, 2198, 31, 334, 2198, 302, 275, 4554, 204, 268, 1164, 2394, 1853, 31, 334, 1853, 302, 275, 4554, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 93, 68, 1932, 289, 610, 68, 1932, 204, 268, 370, 19, 94, 68, 1932, 289, 469, 68, 1932, 204, 268, 370, 19, 95, 68, 1932, 289, 1264, 68, 1932, 204, 268, 370, 19, 1205, 289, 1277, 204, 268, 370, 19, 2435, 289, 2198, 204, 268, 370, 19, 2757, 289, 1853, 204, 268, 456, 13, 75, 7, 46, 1120, 2270, 273, 4554, 6860, 463, 327, 19, 417, 743, 204, 204, 264, 436, 2270, 68, 10911, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 12540, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 12540, 302, 275, 4554, 204, 268, 348, 469, 292, 933, 13, 327, 19, 2757, 330, 204, 305, 397, 469, 1564, 435, 564, 368, 31, 204, 485, 2254, 68, 932, 289, 10617, 2191, 19, 1185, 10708, 204, 305, 902, 31, 204, 485, 2254, 68, 932, 289, 10617, 2191, 19, 44, 4629, 2740, 204, 305, 348, 610, 292, 933, 13, 327, 19, 1205, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 17, 2254, 68, 932, 14, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 465, 370, 19, 2435, 338, 368, 17, 2254, 68, 932, 14, 204, 305, 348, 610, 292, 933, 13, 327, 19, 2435, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 465, 610, 17, 2254, 68, 932, 14, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 469, 17, 370, 19, 95, 68, 1932, 465, 610, 17, 2254, 68, 932, 14, 204, 204, 264, 436, 2270, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 11062, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 8224, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 8224, 302, 275, 4554, 204, 268, 348, 610, 292, 933, 13, 327, 19, 1205, 330, 204, 305, 348, 1264, 292, 933, 13, 327, 19, 2435, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 17, 370, 19, 95, 68, 1932, 465, 1264, 17, 10617, 2191, 19, 25169, 10226, 14, 204, 204, 264, 436, 2270, 68, 295, 522, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 15526, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 15526, 302, 275, 4554, 204, 268, 348, 610, 292, 933, 13, 327, 19, 1205, 330, 204, 305, 348, 1264, 292, 933, 13, 327, 19, 2435, 330, 204, 485, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 610, 17, 370, 19, 94, 68, 1932, 465, 370, 19, 2757, 17, 370, 19, 95, 68, 1932, 465, 1264, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 204, 264, 436, 2270, 68, 15418, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 11304, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 11304, 302, 275, 4554, 204, 268, 397, 370, 19, 1205, 1564, 435, 564, 368, 31, 204, 305, 11304, 68, 93, 289, 322, 327, 19, 1205, 338, 368, 14, 3166, 435, 204, 268, 902, 31, 204, 305, 11304, 68, 93, 289, 370, 19, 1205, 3166, 435, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 17, 370, 19, 94, 68, 1932, 465, 435, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 41442, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 17, 370, 19, 94, 68, 1932, 465, 368, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 4701, 1452, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 435, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 41442, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 11304, 68, 93, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 368, 17, 370, 19, 95, 68, 1932, 17, 10617, 2191, 19, 4701, 1452, 14, 204, 204, 264, 436, 2270, 68, 2997, 13, 327, 17, 18552, 31, 23689, 330, 204, 268, 320, 204, 268, 4908, 275, 2158, 302, 275, 4554, 19, 204, 204, 268, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 268, 320, 204, 268, 314, 4908, 275, 2158, 302, 275, 4554, 204, 268, 397, 370, 19, 2435, 1564, 435, 564, 368, 31, 204, 305, 2158, 68, 95, 289, 322, 327, 19, 2435, 338, 368, 14, 3166, 435, 204, 268, 902, 31, 204, 305, 2158, 68, 95, 289, 370, 19, 2435, 3166, 435, 204, 268, 397, 370, 19, 2757, 1564, 435, 564, 368, 31, 204, 305, 2158, 68, 94, 289, 322, 327, 19, 2757, 338, 368, 14, 3166, 435, 204, 268, 902, 31, 204, 305, 2158, 68, 94, 289, 370, 19, 2757, 3166, 435, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 338, 368, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 338, 368, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 338, 368, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 268, 18552, 19, 574, 8162, 13, 327, 19, 93, 68, 1932, 465, 370, 19, 1205, 338, 368, 17, 370, 19, 94, 68, 1932, 465, 2158, 68, 94, 338, 368, 17, 370, 19, 95, 68, 1932, 465, 2158, 68, 95, 17, 10617, 2191, 19, 44, 4629, 2740, 68, 53, 2313, 42, 14, 204, 204, 264, 436, 353, 68, 266, 68, 5164, 13, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 1264, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 2061, 353, 6204, 275, 4554, 19, 204, 204, 268, 1164, 2394, 610, 31, 334, 610, 18, 3936, 302, 275, 2061, 204, 268, 1164, 2394, 469, 31, 334, 469, 18, 3936, 302, 275, 2061, 204, 268, 1164, 2394, 1264, 31, 334, 1264, 18, 3936, 302, 275, 2061, 204, 268, 1164, 3309, 31, 959, 397, 275, 2061, 353, 6204, 275, 4554, 17, 1078, 2130, 204, 268, 320, 204, 268, 407, 322, 327, 19, 93, 68, 1932, 962, 610, 962, 370, 19, 93, 68, 1932, 465, 370, 19, 1205, 329, 204, 485, 370, 19, 95, 68, 1932, 962, 1264, 962, 370, 19, 95, 68, 1932, 465, 370, 19, 2435, 329, 204, 485, 370, 19, 94, 68, 1932, 962, 469, 962, 370, 19, 94, 68, 1932, 465, 370, 19, 2757, 14, 204, 204, 461, 2270, 68, 7055, 13, 12880, 31, 23689, 17, 4554, 31, 9354, 330, 204, 264, 320, 204, 264, 4908, 273, 4554, 19, 204, 204, 264, 1164, 2394, 18552, 31, 334, 23689, 726, 204, 264, 1164, 2394, 4554, 31, 334, 9354, 726, 204, 264, 320, 204, 264, 4554, 19, 3751, 68, 10911, 13, 12880, 14, 204, 264, 4554, 19, 3751, 68, 11062, 13, 12880, 14, 204, 264, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4554, 19, 3751, 68, 295, 522, 13, 12880, 14, 204, 264, 4554, 19, 3751, 68, 15418, 13, 12880, 14, 204, 264, 4554, 19, 3751, 68, 2997, 13, 12880, 14, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 23689, 726, 204, 264, 18552, 289, 23689, 19, 1510, 374, 204, 615, 264, 314, 763, 275, 2061, 677, 1502, 204, 264, 1050, 289, 18552, 19, 3280, 19, 505, 26385, 11805, 374, 204, 264, 456, 499, 8067, 1502, 2180, 1050, 14, 204, 204, 264, 314, 666, 11522, 204, 264, 11522, 289, 551, 204, 268, 9354, 499, 93, 90, 373, 13681, 691, 90, 1678, 528, 1050, 19, 93, 17, 1050, 19, 94, 17, 1050, 19, 95, 17, 2468, 17, 2468, 17, 1598, 659, 204, 268, 9354, 499, 365, 469, 347, 16001, 528, 1050, 19, 93, 465, 3382, 17, 1050, 19, 94, 17, 1050, 19, 95, 17, 1199, 17, 1168, 17, 5436, 14, 204, 264, 2437, 204, 204, 264, 314, 4908, 11522, 204, 264, 348, 4554, 292, 11522, 31, 204, 268, 2270, 68, 7055, 13, 12880, 17, 4554, 14, 204, 204, 264, 314, 778, 397, 275, 2061, 353, 292, 273, 4554, 204, 264, 1335, 959, 31, 204, 268, 690, 19, 4867, 13, 21, 19, 26, 14, 204, 268, 1050, 289, 18552, 19, 3280, 19, 505, 26385, 11805, 374, 204, 268, 348, 4554, 292, 11522, 31, 204, 305, 397, 4554, 19, 360, 68, 266, 68, 5164, 13, 1075, 19, 93, 17, 1050, 19, 94, 17, 1050, 19, 95, 330, 204, 485, 456, 13, 75, 7, 15352, 311, 463, 7055, 19, 417, 98, 2941, 431, 204, 485, 18552, 19, 2288, 1449, 17057, 13, 75, 7, 15352, 311, 463, 7055, 19, 417, 98, 2941, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 27294, 15717, 46178, 29718, 387, 7691, 16010, 26109, 2504, 15879, 19, 204, 24326, 341, 794, 30576, 17, 44923, 311, 275, 3714, 438, 302, 17412, 560, 1017, 24882, 17, 329, 275, 4382, 19643, 302, 31483, 348, 7534, 19, 204, 673, 22219, 19, 12247, 28326, 71, 619, 17, 4695, 292, 368, 44, 6074, 17, 15, 5366, 1250, 1466, 388, 406, 1268, 4225, 447, 12287, 523, 348, 1429, 690, 17, 1101, 630, 1277, 17, 5976, 302, 8374, 685, 14389, 302, 11925, 348, 275, 3477, 677, 732, 17, 1422, 867, 15672, 18, 3223, 336, 685, 9430, 1101, 1666, 1178, 329, 3938, 40441, 3343, 11815, 1465, 808, 690, 26755, 3846, 1375, 867, 4695, 1704, 4382, 12301, 292, 928, 566, 5814, 552, 2128, 4733, 88, 4627, 1164, 204, 38, 1253, 2104, 2075, 841, 1331, 770, 11426, 204, 673, 1064, 1415, 479, 632, 793, 440, 10546, 11925, 6, 204, 70, 15621, 928, 869, 1742, 23167, 447, 9029, 292, 275, 1322, 302, 4440, 1910, 4719, 11925, 18, 19458, 19, 204, 8395, 275, 20577, 302, 808, 1043, 2707, 388, 48704, 388, 329, 388, 1193, 868, 388, 630, 41469, 83, 17, 5994, 348, 275, 26851, 302, 11925, 1466, 35899, 292, 904, 3576, 302, 2991, 10676, 17, 329, 1675, 331, 18, 1947, 6160, 6813, 1025, 2991, 6751, 17, 2991, 26436, 17, 22711, 17, 329, 28418, 19, 11982, 275, 388, 9464, 6482, 388, 322, 2314, 4656, 14, 1422, 1466, 273, 542, 302, 17626, 33534, 292, 2661, 630, 928, 388, 35662, 17, 36136, 17, 329, 25136, 388, 1466, 2927, 292, 4382, 4474, 17, 329, 1910, 302, 1605, 11925, 18, 19458, 17626, 5311, 3557, 17627, 311, 275, 46129, 13508, 1882, 275, 17451, 19, 204, 3837, 353, 273, 7597, 302, 25909, 35755, 496, 1236, 26275, 302, 275, 4744, 11925, 18, 19458, 35899, 292, 808, 3477, 874, 1742, 22694, 16125, 329, 572, 529, 8405, 378, 87, 31792, 311, 798, 2077, 8660, 302, 1017, 378, 18, 394, 12284, 497, 1702, 479, 1463, 24671, 15300, 448, 529, 800, 560, 18967, 302, 275, 690, 17, 6571, 440, 32124, 302, 17626, 33534, 329, 6332, 348, 275, 26851, 302, 11925, 3556, 311, 874, 1742, 1376, 630, 521, 4789, 275, 1729, 3155, 292, 6017, 19, 334, 11925, 18, 19458, 630, 41469, 83, 5111, 311, 874, 49063, 273, 388, 26810, 18, 75, 343, 7011, 5167, 273, 388, 1193, 569, 5167, 329, 273, 348, 340, 19, 334, 1351, 302, 275, 48704, 867, 292, 1085, 2927, 1025, 388, 754, 572, 11925, 5167, 329, 275, 6576, 1376, 292, 388, 469, 318, 1193, 868, 5167, 348, 275, 1064, 90, 18, 3718, 562, 302, 29668, 306, 879, 329, 904, 9935, 880, 19, 592, 388, 94, 318, 348, 340, 5167, 275, 297, 441, 11925, 283, 867, 6004, 1025, 388, 830, 19318, 302, 4184, 87, 11925, 3343, 334, 26810, 18, 75, 343, 33534, 292, 732, 292, 12352, 630, 496, 690, 1466, 497, 16504, 311, 16504, 18, 18338, 5301, 2223, 17, 329, 2080, 710, 88, 2734, 17, 329, 43302, 630, 4569, 8889, 348, 275, 8784, 302, 265, 9559, 685, 275, 279, 3677, 19, 592, 275, 25015, 18, 22654, 787, 3957, 3616, 348, 368, 44, 28, 44, 17, 15797, 40016, 280, 17, 15734, 275, 22021, 18, 12376, 482, 1675, 292, 2661, 292, 275, 16883, 302, 45238, 17, 292, 28710, 12861, 13347, 42938, 17, 10676, 17, 5366, 1164, 388, 334, 26810, 18, 75, 343, 33534, 529, 1465, 16504, 18, 13579, 5301, 2415, 523, 275, 7066, 17, 10501, 23460, 5301, 2223, 17, 329, 10549, 521, 7496, 5301, 6592, 630, 275, 710, 88, 2734, 19, 3300, 34427, 275, 48704, 529, 8210, 970, 12479, 3868, 302, 3521, 41453, 17, 6738, 1236, 890, 7116, 630, 273, 5680, 13695, 4789, 275, 5533, 19, 204, 18, 334, 20324, 5140, 302, 2991, 10676, 17, 41963, 59, 19, 204, 75, 388, 387, 441, 74, 11925, 388, 867, 437, 42622, 756, 3284, 302, 9935, 11925, 17, 47542, 299, 630, 848, 1136, 17, 329, 5701, 273, 14234, 4393, 18, 3769, 32, 490, 867, 3667, 16504, 5301, 292, 1277, 17, 329, 44784, 497, 23389, 311, 32008, 7584, 9513, 19, 1547, 867, 2927, 560, 4436, 275, 10142, 11925, 497, 275, 48704, 1025, 273, 265, 7865, 292, 10870, 17, 1273, 490, 9943, 1287, 19, 0, 44, 4697, 299, 353, 437, 3287, 1085, 302, 13492, 6318, 24518, 7595, 630, 1017, 2765, 329, 523, 18144, 7870, 275, 10865, 872, 7188, 6186, 311, 874, 311, 770, 1429, 357, 4697, 299, 19, 204, 44, 4697, 299, 5628, 2327, 11845, 31, 6468, 23814, 17, 8227, 17692, 329, 2842, 4303, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8926, 357, 4697, 299, 14956, 19, 204, 673, 6468, 23814, 1352, 3210, 496, 872, 7188, 6432, 273, 4968, 496, 4230, 874, 41245, 273, 5680, 4577, 2482, 521, 4342, 1997, 521, 685, 302, 2665, 329, 24880, 15454, 490, 1818, 292, 1702, 273, 2501, 496, 490, 30155, 808, 18917, 2665, 329, 798, 19, 204, 7002, 6468, 23814, 2842, 5628, 6186, 292, 630, 275, 3060, 13868, 302, 275, 4968, 496, 872, 3480, 311, 4581, 1818, 329, 2842, 24880, 4940, 9559, 685, 275, 14321, 2090, 808, 1629, 1422, 17, 11439, 5815, 497, 1605, 2731, 311, 5233, 292, 329, 798, 273, 18917, 16522, 4968, 19, 204, 19022, 2964, 444, 29374, 311, 6468, 366, 448, 872, 3020, 4185, 19, 204, 3837, 677, 508, 38787, 3662, 26252, 275, 4968, 17, 2842, 5814, 275, 4968, 8926, 2909, 4037, 19, 204, 3753, 364, 17692, 5628, 275, 6296, 302, 7057, 3299, 13632, 19, 204, 6350, 6415, 2909, 1017, 2765, 440, 275, 3299, 13632, 5748, 329, 1425, 14973, 42999, 17146, 299, 523, 3153, 496, 529, 35986, 6415, 19, 204, 5824, 36598, 6415, 2090, 42151, 354, 17, 275, 13204, 353, 508, 830, 496, 3094, 7595, 754, 490, 677, 2765, 2842, 311, 3074, 1605, 13632, 2258, 560, 2842, 4940, 9559, 1475, 685, 302, 275, 3466, 2090, 808, 1629, 3237, 17, 11439, 275, 36598, 311, 444, 275, 667, 18243, 917, 302, 275, 2037, 19, 204, 3753, 364, 17692, 5337, 2090, 6252, 32970, 88, 329, 19733, 27770, 13699, 350, 3418, 329, 19733, 4244, 9762, 70, 329, 2747, 15251, 3418, 17, 496, 5568, 302, 7936, 17, 5628, 6432, 275, 3299, 13632, 2090, 872, 3020, 1629, 3237, 329, 2528, 6186, 1873, 6468, 23814, 1475, 685, 17, 7057, 1475, 17, 16622, 719, 275, 4968, 329, 11439, 717, 308, 29538, 311, 4066, 275, 3299, 13632, 19, 204, 7002, 1425, 17, 490, 7894, 311, 3550, 1873, 9745, 19, 204, 38, 3060, 2323, 4614, 3250, 1363, 569, 35889, 8290, 292, 3299, 13204, 3576, 19, 204, 2551, 1422, 572, 874, 8227, 17692, 19, 204, 7002, 1675, 4303, 357, 4697, 299, 19, 204, 7472, 1372, 27770, 1120, 874, 17, 2528, 17, 3299, 8417, 496, 529, 2842, 508, 830, 496, 25444, 19, 204, 19243, 17140, 808, 4968, 292, 273, 6318, 11296, 17, 872, 1741, 3480, 311, 1307, 292, 329, 6327, 23493, 3142, 17, 3074, 1605, 8417, 2258, 17, 636, 14119, 302, 830, 302, 808, 3821, 329, 8337, 490, 13017, 872, 275, 690, 497, 8205, 490, 5287, 329, 2842, 24880, 5814, 273, 4968, 496, 4230, 874, 15575, 273, 5680, 4577, 508, 754, 3094, 7051, 3094, 7595, 19, 204, 52, 1004, 319, 18470, 6415, 2090, 808, 529, 1824, 630, 275, 11296, 3466, 508, 15431, 2404, 1250, 1741, 508, 2909, 3094, 17, 1101, 5602, 5872, 719, 1250, 7188, 27883, 7595, 6415, 19, 204, 2551, 2528, 17, 3074, 275, 690, 311, 6468, 366, 17, 4303, 357, 4697, 299, 329, 8227, 17692, 311, 3550, 1214, 6318, 36391, 7595, 3094, 17, 29010, 299, 2590, 329, 8926, 3094, 5926, 19, 0, 647, 2044, 23, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 41578, 532, 3469, 68, 2918, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 36833, 204, 204, 8, 4861, 204, 6433, 68, 23603, 68, 4082, 289, 388, 1312, 20, 8273, 28741, 68, 38, 4733, 8013, 68, 36142, 19, 5684, 7, 204, 8440, 68, 25433, 68, 4082, 289, 388, 935, 68, 2185, 19, 2039, 7, 204, 40, 22016, 68, 2956, 289, 322, 1719, 17, 6562, 14, 204, 204, 461, 1137, 68, 935, 68, 2185, 374, 393, 458, 31, 204, 264, 320, 204, 264, 5984, 752, 1769, 497, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 752, 1769, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 8440, 68, 25433, 68, 4082, 14, 448, 283, 31, 204, 305, 2238, 289, 551, 1054, 19, 1590, 374, 348, 1007, 292, 283, 66, 204, 268, 2238, 19, 3377, 13, 21, 14, 226, 314, 3182, 3494, 204, 268, 407, 2238, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 8440, 68, 25433, 68, 4082, 98, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 1137, 68, 481, 68, 2185, 374, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 5984, 275, 424, 329, 275, 3310, 1800, 497, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 424, 1769, 19, 204, 264, 320, 204, 264, 752, 68, 2185, 289, 1137, 68, 935, 68, 2185, 374, 204, 264, 4932, 68, 4339, 289, 551, 78, 348, 296, 292, 752, 68, 2185, 397, 296, 64, 23, 66, 292, 3134, 38380, 528, 388, 29881, 528, 388, 6919, 528, 388, 88, 364, 2292, 17868, 204, 264, 407, 645, 19, 643, 13, 10975, 68, 4339, 14, 204, 204, 461, 4522, 68, 15293, 464, 68, 21512, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 30964, 23733, 17869, 292, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 23733, 17869, 19, 204, 264, 320, 204, 264, 314, 977, 275, 3469, 10780, 329, 14888, 204, 264, 10780, 289, 36833, 19, 505, 68, 33184, 68, 1685, 68, 13635, 374, 204, 264, 14888, 289, 36833, 19, 1827, 68, 22235, 499, 1827, 68, 22235, 68, 6996, 68, 1685, 68, 21512, 19, 12465, 431, 204, 204, 264, 314, 9557, 6587, 292, 275, 752, 204, 264, 3193, 88, 289, 10780, 13, 935, 17, 500, 14, 204, 204, 264, 314, 977, 17869, 204, 264, 17869, 289, 443, 204, 204, 264, 314, 13818, 1924, 848, 3469, 329, 4522, 17869, 204, 264, 348, 322, 78, 17, 3193, 14, 292, 3209, 13, 41480, 330, 204, 268, 2665, 289, 14888, 13, 935, 17, 3193, 14, 204, 268, 2665, 289, 3469, 68, 2918, 19, 1827, 68, 633, 68, 1123, 13, 1827, 14, 204, 268, 17869, 289, 2665, 204, 204, 264, 407, 17869, 204, 204, 461, 5363, 68, 11272, 68, 16778, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 204, 264, 320, 204, 264, 12276, 275, 6922, 302, 11431, 302, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 6361, 28265, 19, 204, 264, 320, 204, 264, 314, 3963, 11431, 292, 275, 610, 329, 469, 7505, 204, 264, 357, 68, 93, 289, 2044, 23, 19, 56, 21129, 13, 935, 17, 2044, 23, 19, 8279, 68, 2562, 43, 17, 368, 17, 500, 17, 38874, 34, 24, 14, 204, 264, 357, 68, 94, 289, 2044, 23, 19, 56, 21129, 13, 935, 17, 2044, 23, 19, 8279, 68, 2562, 43, 17, 500, 17, 368, 17, 38874, 34, 24, 14, 204, 204, 264, 314, 3963, 275, 6922, 302, 11431, 204, 264, 357, 289, 645, 19, 2514, 13, 1123, 19, 6845, 13, 76, 68, 93, 14, 465, 645, 19, 6845, 13, 76, 68, 94, 602, 204, 204, 264, 407, 357, 204, 204, 461, 4522, 68, 5729, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 30964, 3885, 292, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 3885, 19, 204, 264, 320, 204, 264, 314, 9557, 3885, 974, 275, 33137, 3428, 10780, 204, 264, 3428, 289, 2044, 23, 19, 47597, 13, 935, 17, 1607, 17, 1607, 14, 204, 264, 407, 3428, 204, 204, 461, 5363, 68, 33993, 68, 17739, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 12276, 275, 552, 17282, 15945, 302, 275, 800, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 2010, 1348, 302, 552, 17282, 19258, 19, 204, 264, 320, 204, 264, 314, 968, 275, 552, 17282, 15945, 2072, 204, 264, 4033, 8654, 289, 322, 2177, 17, 4236, 14, 204, 264, 2254, 8654, 289, 322, 1845, 17, 2247, 14, 204, 264, 2254, 27468, 285, 289, 322, 29, 17, 1132, 14, 204, 264, 2092, 8654, 289, 322, 29, 17, 1132, 14, 204, 264, 771, 39, 1679, 289, 1233, 204, 204, 264, 314, 977, 275, 552, 17282, 15945, 204, 264, 41872, 68, 17739, 289, 2044, 23, 19, 7966, 44, 28452, 13, 5450, 8654, 17, 2254, 8654, 17, 2254, 27468, 285, 17, 2092, 8654, 17, 771, 39, 1679, 14, 204, 204, 264, 314, 3963, 275, 552, 17282, 15945, 204, 264, 373, 289, 41872, 68, 17739, 19, 8560, 13, 935, 14, 204, 264, 407, 373, 204, 204, 461, 1137, 68, 416, 68, 7701, 68, 481, 374, 393, 927, 31, 204, 264, 320, 204, 264, 5984, 275, 424, 17, 678, 11434, 490, 17, 329, 17982, 490, 1025, 1737, 17, 3587, 17, 329, 683, 3416, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 8049, 424, 329, 1769, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 1540, 3469, 752, 204, 264, 1540, 68, 1685, 289, 2044, 23, 19, 10465, 13, 6433, 68, 23603, 68, 4082, 14, 204, 264, 1540, 68, 1685, 289, 1540, 68, 1685, 64, 40, 22016, 68, 2956, 64, 21, 744, 40, 22016, 68, 2956, 64, 22, 648, 346, 22016, 68, 2956, 64, 21, 744, 40, 22016, 68, 2956, 64, 22, 2629, 204, 204, 264, 314, 8192, 275, 1540, 3469, 752, 204, 264, 1540, 68, 1685, 68, 76, 289, 5363, 68, 11272, 68, 16778, 13, 2305, 68, 1685, 14, 204, 264, 1540, 68, 1685, 68, 5242, 289, 4522, 68, 5729, 13, 2305, 68, 1685, 14, 204, 264, 1540, 68, 1685, 68, 33993, 289, 5363, 68, 33993, 68, 17739, 13, 2305, 68, 1685, 14, 204, 264, 1540, 68, 15293, 464, 68, 3995, 289, 4522, 68, 15293, 464, 68, 21512, 13, 2305, 68, 1685, 14, 204, 204, 264, 314, 1385, 275, 424, 1769, 204, 264, 424, 68, 2185, 289, 1137, 68, 481, 68, 2185, 374, 204, 204, 264, 314, 977, 275, 424, 329, 1769, 3330, 204, 264, 424, 289, 1306, 204, 264, 1769, 289, 1306, 204, 204, 264, 314, 13818, 1924, 848, 424, 1800, 329, 1137, 275, 3310, 752, 204, 264, 348, 296, 292, 424, 68, 2185, 31, 204, 268, 3840, 68, 1685, 289, 2044, 23, 19, 10465, 499, 1312, 11291, 465, 394, 13, 78, 64, 22, 4513, 204, 204, 268, 314, 8192, 275, 752, 204, 268, 3840, 68, 1685, 68, 76, 289, 5363, 68, 11272, 68, 16778, 13, 3371, 68, 1685, 14, 204, 268, 3840, 68, 1685, 68, 5242, 289, 4522, 68, 5729, 13, 3371, 68, 1685, 14, 204, 268, 3840, 68, 1685, 68, 33993, 289, 5363, 68, 33993, 68, 17739, 13, 3371, 68, 1685, 14, 204, 268, 3840, 68, 1685, 68, 15293, 464, 68, 3995, 289, 4522, 68, 15293, 464, 68, 21512, 13, 3371, 68, 1685, 14, 204, 204, 268, 314, 5230, 275, 8049, 752, 329, 1800, 311, 275, 3330, 204, 268, 424, 19, 1223, 1568, 3371, 68, 1685, 68, 76, 17, 3840, 68, 1685, 68, 5242, 17, 3840, 68, 1685, 68, 33993, 17, 3840, 68, 1685, 68, 15293, 464, 68, 3995, 694, 204, 268, 1769, 19, 1223, 13, 78, 64, 23, 694, 204, 204, 264, 314, 3736, 275, 424, 1025, 1737, 17, 3587, 17, 329, 683, 3416, 204, 264, 951, 68, 481, 17, 679, 68, 481, 17, 951, 68, 2185, 17, 679, 68, 2185, 289, 951, 68, 804, 68, 1590, 13, 481, 17, 1769, 17, 683, 68, 835, 34, 21, 19, 23, 17, 1400, 68, 1512, 34, 5820, 14, 204, 264, 679, 68, 481, 17, 683, 68, 481, 17, 679, 68, 2185, 17, 683, 68, 2185, 289, 951, 68, 804, 68, 1590, 13, 577, 68, 481, 17, 679, 68, 2185, 17, 683, 68, 835, 34, 21, 19, 26, 17, 1400, 68, 1512, 34, 5820, 14, 204, 204, 264, 407, 951, 68, 481, 17, 679, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 679, 68, 2185, 17, 683, 68, 2185, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1385, 275, 1540, 3469, 752, 204, 264, 3840, 289, 2044, 23, 19, 10465, 13, 6433, 68, 23603, 68, 4082, 14, 204, 204, 264, 314, 3740, 275, 2171, 752, 204, 264, 1513, 19, 8122, 13, 3371, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3963, 329, 2037, 275, 6361, 6922, 204, 264, 6361, 68, 16778, 289, 5363, 68, 11272, 68, 16778, 13, 3371, 14, 204, 264, 1513, 19, 8122, 13, 11272, 68, 16778, 19, 7532, 13, 1123, 19, 9283, 29, 659, 14033, 833, 8472, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3963, 329, 2037, 275, 3885, 204, 264, 3885, 289, 4522, 68, 5729, 13, 3371, 14, 204, 264, 1513, 19, 8122, 13, 5729, 17, 14033, 833, 8472, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3963, 329, 2037, 275, 23733, 17869, 204, 264, 23733, 68, 21512, 289, 4522, 68, 15293, 464, 68, 21512, 13, 3371, 14, 204, 264, 348, 322, 93, 17, 469, 14, 292, 23733, 68, 21512, 31, 204, 268, 2044, 23, 19, 9085, 13, 3371, 17, 322, 93, 17, 469, 659, 435, 17, 322, 21, 17, 4580, 17, 500, 659, 338, 22, 14, 204, 264, 1513, 19, 8122, 13, 3371, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 1385, 329, 5221, 275, 424, 204, 264, 951, 68, 481, 17, 679, 68, 481, 17, 683, 68, 481, 17, 951, 68, 2185, 17, 679, 68, 2185, 17, 683, 68, 2185, 289, 1137, 68, 416, 68, 7701, 68, 481, 374, 204, 264, 456, 499, 13000, 424, 2665, 2180, 1245, 13, 1219, 68, 481, 602, 204, 264, 456, 499, 17189, 424, 2665, 2180, 1245, 13, 577, 68, 481, 602, 204, 264, 456, 499, 2346, 424, 2665, 2180, 1245, 13, 804, 68, 481, 602, 204, 0, 647, 1804, 204, 647, 5004, 204, 647, 10275, 204, 647, 304, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 647, 2164, 204, 531, 10650, 25, 532, 5322, 448, 10650, 204, 647, 1875, 204, 204, 676, 35163, 16788, 525, 31, 204, 264, 320, 204, 264, 332, 850, 311, 3686, 8497, 424, 497, 35163, 32025, 19, 204, 204, 264, 1532, 31, 204, 268, 1779, 68, 6701, 322, 325, 330, 334, 1034, 1274, 348, 275, 4414, 19, 204, 268, 10534, 322, 8239, 19, 15450, 19, 40643, 26635, 45155, 330, 334, 10534, 348, 275, 2067, 19, 204, 268, 8508, 420, 322, 325, 330, 334, 8508, 420, 348, 275, 2067, 19, 204, 268, 5549, 322, 873, 330, 332, 955, 311, 1640, 5549, 424, 19, 204, 268, 1484, 68, 834, 322, 2664, 19, 2664, 330, 334, 690, 302, 275, 1673, 1484, 19, 204, 268, 5713, 322, 873, 330, 332, 955, 311, 1640, 3688, 19, 204, 268, 2349, 322, 2600, 19, 1362, 330, 332, 3805, 3135, 311, 1640, 275, 424, 19, 204, 268, 3671, 322, 996, 330, 334, 3090, 3671, 2297, 19, 204, 268, 1673, 68, 2895, 322, 996, 330, 334, 1673, 2297, 19, 204, 264, 320, 204, 204, 264, 314, 968, 3454, 348, 5448, 329, 2072, 204, 264, 1274, 68, 8589, 289, 388, 3189, 1963, 2120, 22, 19, 31707, 19, 40471, 19, 1453, 20, 91, 29, 20, 31707, 20, 10735, 4235, 6701, 20637, 6701, 2508, 6701, 14329, 4841, 2508, 4841, 2495, 204, 264, 1274, 68, 33750, 68, 8589, 289, 388, 3189, 1963, 2120, 22, 19, 31707, 19, 40471, 19, 1453, 20, 91, 28, 20, 31707, 20, 7237, 4235, 6701, 20637, 6956, 22, 2508, 1530, 68, 4220, 14329, 6956, 23, 2508, 409, 68, 4220, 14329, 4841, 2508, 4841, 14329, 6316, 2508, 2977, 14329, 35622, 2508, 35622, 2495, 204, 204, 264, 436, 589, 924, 889, 327, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 977, 275, 35163, 16788, 525, 726, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 268, 320, 204, 268, 370, 19, 805, 68, 6701, 289, 443, 204, 268, 370, 19, 15450, 289, 443, 204, 268, 370, 19, 35622, 289, 443, 204, 268, 370, 19, 7111, 289, 2087, 204, 268, 370, 19, 2120, 68, 834, 289, 443, 204, 268, 370, 19, 6656, 289, 443, 204, 268, 370, 19, 1695, 289, 1246, 19, 1362, 374, 204, 268, 370, 19, 3529, 289, 443, 204, 268, 370, 19, 2391, 68, 2895, 289, 443, 204, 268, 370, 19, 2251, 289, 6416, 204, 204, 264, 436, 4199, 68, 2488, 13, 327, 330, 204, 268, 320, 204, 268, 9886, 275, 10534, 329, 8508, 420, 19, 204, 268, 320, 204, 268, 370, 19, 35622, 289, 443, 204, 268, 370, 19, 15450, 289, 443, 204, 204, 264, 436, 5345, 13, 327, 17, 4414, 31, 394, 17, 3091, 31, 394, 289, 388, 22, 77, 528, 930, 2251, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 35163, 16788, 525, 726, 440, 273, 4414, 329, 3091, 19, 204, 204, 268, 457, 31, 204, 305, 4414, 322, 325, 330, 334, 3613, 4414, 19, 204, 305, 3091, 322, 325, 17, 1448, 330, 334, 3091, 19, 1243, 311, 388, 22, 77, 2948, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 268, 320, 204, 268, 370, 19, 805, 68, 6701, 289, 370, 19, 3778, 68, 8589, 19, 2478, 13, 6701, 34, 6701, 17, 3091, 34, 4841, 14, 204, 268, 810, 31, 204, 305, 958, 289, 2164, 19, 505, 13, 327, 19, 805, 68, 6701, 17, 930, 2251, 14, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 305, 370, 19, 15450, 289, 958, 19, 15450, 204, 305, 1068, 289, 958, 19, 492, 204, 204, 305, 314, 1752, 275, 8508, 420, 292, 275, 958, 1068, 204, 305, 2679, 289, 304, 19, 7354, 611, 25789, 420, 12909, 559, 32478, 35622, 34835, 13, 26766, 31072, 7832, 534, 204, 305, 24597, 289, 2679, 19, 12624, 13, 492, 14, 204, 305, 397, 24597, 31, 204, 485, 370, 19, 35622, 289, 5004, 19, 350, 20409, 13, 27627, 64, 21, 694, 204, 485, 370, 19, 35622, 289, 370, 19, 35622, 19, 3834, 13, 90, 7, 4727, 90, 22252, 43, 528, 6040, 431, 204, 204, 305, 314, 2735, 275, 2084, 958, 204, 305, 6338, 289, 1875, 19, 5569, 13, 492, 14, 204, 305, 424, 289, 6338, 736, 10735, 4976, 1300, 6970, 21, 6690, 31913, 4976, 11843, 6970, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 21, 66, 204, 305, 4521, 289, 6338, 736, 10735, 4976, 1300, 6970, 21, 6690, 5192, 839, 204, 305, 5713, 289, 6338, 736, 10735, 4976, 1300, 6970, 21, 6690, 6656, 839, 204, 204, 305, 370, 19, 3529, 289, 5713, 736, 9983, 17101, 839, 204, 305, 370, 19, 2391, 68, 2895, 289, 5713, 736, 10381, 30200, 12998, 839, 204, 204, 305, 314, 666, 273, 3805, 3135, 497, 275, 424, 204, 305, 14018, 289, 1246, 19, 633, 68, 2664, 13, 5192, 17, 2350, 833, 88, 3930, 11344, 68, 4027, 504, 499, 11811, 5561, 11344, 68, 6470, 499, 3322, 20, 30111, 1349, 5561, 11344, 68, 4027, 504, 13, 3170, 14, 204, 305, 14018, 19, 417, 289, 388, 672, 7, 204, 305, 370, 19, 1695, 289, 1246, 19, 1362, 13, 481, 14, 204, 305, 370, 19, 1695, 19, 998, 289, 14018, 204, 305, 370, 19, 6656, 289, 5713, 204, 268, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 1642, 4460, 204, 264, 436, 1814, 68, 633, 68, 4220, 13, 672, 31, 1804, 19, 2664, 14, 393, 421, 31, 204, 268, 320, 204, 268, 2208, 273, 1804, 726, 311, 437, 3741, 4521, 19, 204, 204, 268, 457, 31, 204, 305, 1489, 322, 2664, 19, 2664, 330, 334, 1804, 726, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 3741, 4521, 19, 204, 268, 320, 204, 268, 407, 421, 1802, 672, 338, 1246, 19, 20067, 499, 40058, 18, 3222, 18, 3222, 41643, 2609, 68, 6821, 1447, 204, 204, 264, 436, 636, 68, 24899, 68, 481, 13, 327, 17, 4414, 31, 394, 17, 1012, 68, 672, 31, 1804, 19, 2664, 17, 1136, 68, 672, 31, 1804, 19, 2664, 289, 443, 17, 1643, 31, 394, 289, 388, 5383, 528, 3091, 31, 394, 289, 388, 22, 73, 431, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 763, 8916, 424, 348, 273, 4414, 19, 204, 204, 268, 457, 31, 204, 305, 4414, 322, 325, 330, 334, 3613, 4414, 19, 204, 305, 1012, 68, 672, 322, 2664, 19, 2664, 330, 334, 1012, 1489, 19, 204, 305, 1136, 68, 672, 322, 2664, 19, 2664, 17, 1448, 330, 334, 1136, 1489, 19, 1243, 311, 443, 19, 204, 305, 1643, 322, 325, 17, 1448, 330, 334, 1643, 1187, 19, 1243, 311, 388, 5383, 2948, 204, 305, 3091, 322, 325, 17, 1448, 330, 334, 3091, 19, 1243, 311, 388, 22, 73, 2948, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 8916, 424, 19, 204, 268, 320, 204, 268, 397, 370, 19, 35622, 353, 443, 31, 204, 305, 370, 19, 9462, 13, 6701, 14, 204, 204, 268, 397, 1136, 68, 672, 353, 443, 31, 204, 305, 1136, 68, 672, 289, 1246, 19, 633, 68, 2664, 13, 2664, 19, 2664, 19, 1520, 1447, 204, 204, 268, 1779, 289, 370, 19, 3778, 68, 33750, 68, 8589, 19, 2478, 13, 204, 305, 1012, 68, 4220, 34, 327, 19, 6470, 68, 633, 68, 4220, 13, 1530, 68, 672, 659, 204, 305, 1136, 68, 4220, 34, 327, 19, 6470, 68, 633, 68, 4220, 13, 409, 68, 672, 659, 204, 305, 4414, 34, 6701, 17, 204, 305, 1643, 34, 2977, 17, 204, 305, 8508, 420, 34, 327, 19, 35622, 17, 204, 305, 3091, 34, 4841, 204, 268, 1179, 204, 204, 268, 10534, 289, 463, 93, 19, 417, 31, 610, 19, 876, 348, 610, 292, 370, 19, 15450, 98, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 17, 10534, 34, 15450, 17, 930, 327, 19, 2251, 14, 204, 268, 2349, 289, 1246, 19, 976, 68, 2039, 13, 936, 19, 32162, 13, 1935, 19, 492, 602, 204, 268, 2349, 19, 1229, 3460, 379, 23618, 839, 289, 4414, 204, 268, 407, 2349, 204, 204, 264, 436, 636, 68, 2391, 68, 2895, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 763, 275, 1673, 2297, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1673, 2297, 19, 204, 268, 320, 204, 268, 407, 370, 19, 2391, 68, 2895, 204, 204, 264, 436, 636, 68, 9983, 68, 3529, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 763, 275, 3090, 3671, 2297, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 3090, 3671, 2297, 19, 204, 268, 320, 204, 268, 407, 370, 19, 3529, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 469, 289, 35163, 16788, 525, 374, 204, 264, 469, 19, 9462, 499, 35129, 528, 3091, 1022, 22, 82, 431, 204, 264, 456, 13, 94, 19, 505, 68, 2391, 68, 2895, 1447, 204, 264, 456, 13, 94, 19, 505, 68, 9983, 68, 3529, 1447, 204, 264, 8916, 68, 481, 289, 469, 19, 505, 68, 24899, 68, 481, 499, 35129, 528, 1804, 19, 2664, 13, 8409, 17, 368, 17, 368, 602, 204, 264, 456, 13, 24899, 68, 481, 19, 1885, 1447, 204, 0, 4377, 275, 1525, 1581, 31, 204, 204, 4292, 1735, 13607, 6411, 96, 1663, 98, 23, 2343, 571, 2343, 720, 2343, 1168, 6997, 2989, 2343, 3139, 2343, 1433, 2343, 5773, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 2562, 2343, 4662, 2343, 338, 1916, 6997, 338, 5737, 2343, 338, 5254, 2343, 1916, 6997, 2153, 2343, 720, 2343, 338, 720, 6997, 500, 2343, 500, 2343, 368, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 22, 6997, 2787, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 66, 289, 688, 1735, 13607, 6411, 96, 1663, 98, 1641, 6997, 7500, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 2310, 618, 2280, 490, 1873, 1660, 560, 1660, 31, 204, 204, 22, 19, 6867, 17, 949, 275, 1351, 302, 275, 1350, 329, 4986, 7703, 31, 204, 204, 4292, 1735, 13607, 6411, 96, 1663, 98, 2562, 2343, 4662, 2343, 338, 1916, 6997, 338, 5737, 2343, 338, 5254, 2343, 1916, 6997, 2153, 2343, 720, 2343, 338, 720, 6997, 500, 2343, 500, 2343, 368, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 22, 6997, 2787, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 66, 289, 688, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1735, 13607, 6411, 96, 1663, 98, 2562, 465, 4662, 90, 338, 1916, 91, 6997, 338, 2562, 338, 5254, 90, 465, 1916, 91, 6997, 2153, 465, 720, 90, 338, 720, 91, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 23, 19, 9419, 17, 949, 275, 1351, 302, 275, 1043, 1525, 329, 275, 722, 31, 204, 204, 4292, 1735, 13607, 6411, 96, 1663, 98, 23, 2343, 571, 2343, 720, 2343, 1168, 6997, 2989, 2343, 3139, 2343, 1433, 2343, 5773, 65, 409, 96, 1663, 2277, 1633, 66, 688, 4423, 688, 1735, 13607, 6411, 96, 1663, 98, 2562, 465, 4662, 90, 338, 1916, 91, 6997, 338, 2562, 338, 5254, 90, 465, 1916, 91, 6997, 2153, 465, 720, 90, 338, 720, 91, 6997, 376, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 13752, 688, 1735, 13607, 6411, 96, 1663, 98, 23, 13, 2562, 465, 4662, 90, 338, 1916, 91, 14, 465, 571, 2422, 2562, 338, 5254, 90, 465, 1916, 91, 14, 465, 720, 13, 1909, 465, 720, 90, 338, 720, 91, 14, 465, 1168, 91, 6997, 2989, 13, 2562, 465, 4662, 90, 338, 1916, 91, 14, 465, 3139, 2422, 2562, 338, 5254, 90, 465, 1916, 91, 14, 465, 1433, 13, 1909, 465, 720, 90, 338, 720, 91, 14, 465, 5773, 91, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 13752, 688, 1735, 13607, 6411, 96, 1663, 98, 7489, 338, 23870, 465, 7776, 465, 10610, 90, 338, 13548, 90, 465, 2019, 90, 338, 5075, 91, 465, 10631, 91, 338, 2019, 91, 465, 1168, 91, 6997, 1132, 2177, 338, 931, 5303, 465, 4662, 26, 465, 571, 2562, 90, 338, 5487, 30, 90, 465, 10787, 90, 338, 38210, 91, 465, 2468, 27, 91, 338, 10787, 91, 465, 5773, 91, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 13752, 688, 1735, 13607, 6411, 96, 1663, 98, 1641, 6997, 7500, 65, 409, 96, 1663, 2277, 1633, 17972, 204, 204, 1834, 1581, 12640, 3597, 17, 754, 275, 800, 1525, 1581, 353, 1097, 19, 204, 204, 25994, 17, 572, 618, 2506, 275, 2558, 7310, 31, 204, 204, 4292, 4548, 289, 571, 465, 2787, 338, 376, 9, 204, 204, 4292, 7030, 289, 2787, 9, 204, 204, 7002, 275, 7703, 31, 204, 204, 9, 41, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 1003, 2343, 1916, 2343, 931, 6997, 338, 931, 2343, 338, 1916, 2343, 338, 1233, 6997, 500, 2343, 720, 2343, 500, 6997, 571, 2343, 338, 368, 2343, 368, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 9, 42, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 22, 6997, 688, 4548, 6997, 688, 7030, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 9, 50, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 22, 2343, 500, 2343, 500, 6997, 571, 2343, 368, 2343, 338, 368, 6997, 500, 2343, 368, 2343, 500, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 2310, 874, 31, 204, 204, 9, 41, 471, 289, 565, 346, 9, 204, 204, 9, 42, 289, 502, 346, 9, 204, 204, 9, 41, 502, 346, 289, 565, 346, 688, 35672, 412, 502, 289, 565, 688, 35672, 502, 289, 688, 1735, 3453, 6411, 96, 1663, 98, 22, 2343, 500, 2343, 500, 6997, 571, 2343, 368, 2343, 338, 368, 6997, 500, 2343, 368, 2343, 500, 65, 409, 96, 1663, 2277, 1633, 3920, 204, 204, 1834, 3629, 437, 9037, 2355, 302, 275, 1525, 1581, 19, 0, 658, 38669, 545, 14716, 204, 204, 25088, 545, 4685, 353, 273, 7659, 302, 4685, 496, 21400, 440, 275, 3599, 17, 7365, 17, 329, 4249, 302, 22959, 424, 19, 1547, 5628, 275, 732, 302, 4109, 2986, 311, 25841, 329, 8959, 275, 4802, 2048, 302, 275, 424, 19, 204, 204, 1380, 16821, 302, 23879, 39716, 204, 204, 2841, 529, 3420, 3003, 302, 7654, 16220, 31, 204, 204, 22, 19, 930, 40688, 1082, 12155, 1416, 1058, 3948, 353, 1376, 311, 33657, 424, 1025, 7656, 4119, 521, 5981, 17, 1702, 448, 10557, 20, 22013, 521, 18082, 20, 1625, 19, 204, 23, 19, 930, 4366, 73, 1082, 12155, 1416, 1058, 3948, 353, 1376, 311, 4849, 424, 292, 1552, 17, 1702, 448, 2223, 311, 3264, 521, 1043, 311, 1673, 19, 204, 24, 19, 930, 24363, 12155, 1416, 1058, 3948, 353, 1376, 311, 3001, 424, 630, 4217, 7046, 17, 1702, 448, 3312, 521, 690, 19, 204, 25, 19, 930, 30299, 12155, 1416, 1058, 3948, 353, 1376, 311, 3001, 424, 496, 869, 273, 3597, 2962, 917, 17, 1702, 448, 2308, 521, 1853, 19, 204, 204, 1380, 29437, 302, 12867, 313, 409, 1430, 204, 204, 6091, 16275, 302, 6837, 20720, 529, 1376, 311, 8959, 275, 4876, 521, 13713, 700, 302, 273, 1485, 19, 334, 2327, 667, 7935, 302, 6837, 20720, 529, 31, 204, 204, 22, 19, 930, 12275, 1416, 334, 2480, 700, 302, 275, 1485, 19, 204, 23, 19, 930, 27448, 1416, 334, 4876, 700, 302, 275, 1485, 1330, 490, 353, 17442, 292, 1552, 19, 204, 24, 19, 930, 11176, 1416, 334, 1901, 12283, 16508, 700, 292, 275, 1485, 19, 204, 204, 1380, 29437, 302, 13702, 3423, 204, 204, 6091, 16275, 302, 23616, 529, 1376, 311, 8959, 275, 6813, 521, 29871, 302, 275, 424, 19, 334, 667, 7935, 302, 23616, 529, 31, 204, 204, 22, 19, 930, 13351, 1416, 334, 2712, 1283, 275, 6862, 329, 10658, 1019, 292, 275, 1485, 19, 204, 23, 19, 930, 15151, 21589, 1416, 332, 3001, 302, 275, 1690, 302, 12555, 521, 29871, 302, 275, 424, 497, 275, 1869, 19, 204, 24, 19, 930, 19930, 371, 21547, 1416, 332, 3001, 302, 275, 5050, 302, 424, 1728, 496, 5573, 5084, 273, 4153, 700, 19, 204, 204, 1380, 9630, 6434, 78, 1027, 302, 1594, 204, 204, 989, 618, 444, 34009, 34090, 974, 4109, 11137, 329, 21020, 17, 1702, 448, 31, 204, 204, 22, 19, 930, 10757, 14922, 1416, 332, 1582, 496, 5913, 275, 3133, 3272, 302, 275, 424, 19, 204, 23, 19, 930, 12392, 27897, 1416, 332, 1582, 496, 5913, 275, 7448, 302, 1792, 5981, 19, 204, 204, 1380, 25703, 329, 15210, 204, 204, 35423, 329, 6058, 529, 1376, 311, 8959, 275, 3633, 1283, 970, 521, 1182, 2558, 19, 204, 204, 22, 19, 930, 35423, 25375, 1416, 332, 3001, 302, 275, 8001, 329, 2945, 302, 275, 3633, 1283, 970, 2558, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 23, 19, 930, 23022, 15210, 1416, 332, 12721, 1216, 496, 5913, 275, 3633, 1283, 4569, 6403, 2558, 329, 273, 10742, 1554, 19, 204, 204, 1380, 9258, 17188, 204, 204, 4377, 275, 2631, 3703, 523, 273, 5411, 683, 31, 17070, 17, 10787, 17, 15066, 17, 2753, 17, 5074, 17, 17070, 17, 17763, 17, 2073, 275, 2631, 3888, 31, 204, 204, 22, 19, 2935, 3948, 302, 7654, 529, 872, 974, 36, 204, 23, 19, 2935, 867, 275, 933, 36, 204, 24, 19, 3963, 275, 1869, 17, 6716, 17, 329, 2291, 19, 204, 25, 19, 2935, 353, 1214, 3272, 2090, 36, 204, 204, 658, 592, 19842, 14716, 204, 204, 837, 19842, 4685, 353, 273, 7659, 302, 4685, 496, 21400, 440, 4461, 20675, 521, 43989, 1465, 273, 3390, 1609, 523, 273, 1672, 302, 424, 19, 204, 204, 1380, 24674, 12016, 204, 204, 14426, 16889, 2907, 353, 273, 12721, 1216, 496, 353, 1376, 311, 683, 273, 8159, 521, 17455, 1465, 273, 3390, 19, 204, 204, 22, 19, 930, 33245, 24674, 1416, 332, 4818, 302, 1236, 2620, 521, 1236, 2712, 19, 204, 23, 19, 930, 7351, 302, 9067, 35867, 1416, 334, 2634, 302, 11809, 299, 275, 3749, 8159, 1330, 490, 353, 3597, 19, 204, 24, 19, 930, 2191, 382, 7252, 1416, 334, 2634, 302, 11809, 299, 275, 3749, 8159, 1330, 490, 353, 3597, 19, 204, 25, 19, 930, 2191, 8392, 7252, 1416, 334, 2634, 302, 28867, 311, 11809, 275, 3749, 8159, 1330, 490, 353, 7463, 19, 204, 204, 1380, 313, 18, 2346, 329, 32284, 204, 204, 22, 19, 930, 57, 18, 2346, 1416, 332, 12721, 1216, 496, 353, 1376, 311, 5408, 970, 3210, 19, 204, 23, 19, 930, 17860, 302, 26174, 322, 2313, 52, 11381, 12541, 332, 12721, 1216, 496, 353, 1376, 311, 5408, 970, 521, 1182, 3210, 19, 204, 204, 1380, 11955, 46541, 5458, 204, 204, 16632, 46541, 4394, 529, 1376, 1330, 275, 424, 1583, 508, 7116, 275, 19817, 302, 27718, 4394, 19, 204, 204, 22, 19, 930, 1571, 78, 18, 16109, 1295, 1416, 332, 12721, 1216, 496, 353, 1376, 311, 683, 275, 13955, 1283, 970, 10820, 2558, 19, 0, 461, 456, 68, 1630, 68, 398, 68, 633, 13, 83, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 886, 497, 500, 311, 300, 18, 22, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 322, 25094, 14, 302, 275, 886, 311, 456, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 348, 3546, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 296, 292, 933, 13, 83, 330, 204, 268, 456, 13, 78, 14, 204, 204, 461, 456, 68, 1630, 68, 2004, 68, 1454, 13, 83, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 886, 497, 500, 311, 300, 18, 22, 440, 273, 943, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 322, 25094, 14, 302, 275, 886, 311, 456, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 348, 3546, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 296, 292, 933, 13, 83, 330, 204, 268, 456, 13, 75, 7, 17858, 700, 31, 463, 78, 743, 204, 264, 902, 31, 204, 268, 314, 334, 902, 2254, 1120, 444, 11529, 1330, 275, 3546, 42643, 13832, 204, 268, 456, 499, 17040, 10689, 5397, 204, 204, 461, 456, 68, 1630, 68, 2776, 68, 10868, 13, 83, 31, 421, 17, 2280, 68, 269, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 886, 497, 500, 311, 300, 18, 22, 17, 18711, 630, 273, 1713, 542, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 322, 25094, 14, 302, 275, 886, 311, 456, 19, 204, 268, 2280, 68, 269, 322, 339, 330, 334, 542, 630, 928, 311, 2280, 275, 3546, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 348, 3546, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 296, 292, 933, 13, 83, 330, 204, 268, 397, 296, 564, 2280, 68, 269, 31, 204, 305, 2280, 204, 268, 456, 13, 78, 14, 204, 204, 461, 456, 68, 8686, 68, 12020, 68, 77, 13, 88, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 2724, 292, 273, 782, 17, 26199, 379, 77, 2625, 204, 204, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 458, 6459, 353, 1182, 34250, 329, 6184, 348, 808, 1781, 204, 264, 348, 1125, 292, 322, 72, 348, 279, 292, 297, 397, 279, 19, 3006, 374, 2167, 379, 77, 4448, 204, 268, 456, 13, 2441, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 68, 1630, 68, 398, 68, 633, 13, 1003, 14, 204, 264, 456, 68, 1630, 68, 2004, 68, 1454, 13, 1003, 14, 204, 264, 456, 68, 1630, 68, 2776, 68, 10868, 13, 2051, 17, 681, 14, 204, 264, 456, 68, 8686, 68, 12020, 68, 77, 499, 11700, 431, 204, 0, 1449, 949, 275, 17757, 6088, 12507, 322, 44, 4329, 659, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 40357, 8247, 40338, 311, 848, 5686, 1416, 204, 262, 338, 332, 16, 289, 681, 19, 24, 204, 262, 338, 332, 289, 681, 19, 21, 204, 262, 338, 332, 18, 289, 571, 19, 28, 204, 262, 338, 565, 16, 289, 571, 19, 24, 204, 262, 338, 565, 289, 571, 19, 21, 204, 262, 338, 565, 18, 289, 435, 19, 28, 204, 262, 338, 346, 16, 289, 435, 19, 24, 204, 262, 338, 346, 289, 435, 19, 21, 204, 262, 338, 346, 18, 289, 368, 19, 28, 204, 262, 338, 412, 16, 289, 368, 19, 24, 204, 262, 338, 412, 289, 368, 19, 21, 204, 262, 338, 412, 18, 289, 500, 19, 28, 204, 262, 338, 472, 289, 500, 204, 262, 338, 548, 289, 500, 204, 204, 23, 19, 930, 11479, 5926, 1728, 348, 848, 3200, 1416, 204, 262, 338, 8838, 275, 542, 302, 22066, 3658, 348, 848, 3200, 560, 1163, 3310, 8247, 5686, 6414, 19, 204, 204, 24, 19, 930, 11479, 275, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1113, 5926, 1728, 348, 275, 22066, 1416, 204, 262, 338, 1255, 719, 830, 275, 5926, 1728, 17243, 348, 848, 3200, 292, 275, 22066, 19, 204, 204, 25, 19, 930, 11479, 275, 22066, 33692, 1416, 204, 262, 338, 10164, 275, 1113, 5926, 1728, 348, 275, 22066, 560, 275, 1113, 542, 302, 22066, 3658, 348, 9442, 440, 9695, 332, 18, 43, 521, 548, 19, 204, 204, 26, 19, 930, 11479, 275, 8046, 33692, 1416, 204, 262, 338, 1255, 719, 830, 275, 5926, 1728, 497, 830, 414, 293, 13347, 19, 204, 262, 338, 1255, 719, 830, 275, 6826, 22066, 3658, 497, 830, 414, 293, 13347, 322, 25206, 9442, 440, 9695, 387, 521, 415, 17, 14275, 273, 548, 521, 472, 867, 17243, 789, 204, 262, 338, 10164, 275, 1113, 5926, 1728, 560, 275, 1113, 6826, 22066, 3658, 19, 204, 204, 777, 5063, 1416, 204, 18, 6867, 22066, 31, 204, 226, 338, 17307, 45, 18131, 322, 25, 3658, 17, 565, 16, 330, 681, 540, 571, 19, 24, 289, 2989, 19, 23, 5926, 1728, 204, 226, 338, 472, 24510, 14382, 322, 25, 3658, 17, 332, 330, 681, 540, 681, 19, 21, 289, 2247, 19, 21, 5926, 1728, 204, 226, 338, 595, 10172, 56, 14382, 322, 24, 3658, 17, 565, 330, 571, 540, 571, 19, 21, 289, 1233, 19, 21, 5926, 1728, 204, 226, 338, 12531, 57, 24832, 322, 24, 3658, 17, 565, 18, 330, 571, 540, 435, 19, 28, 289, 1132, 19, 22, 5926, 1728, 204, 226, 338, 23119, 6449, 322, 21, 19, 26, 3658, 17, 548, 330, 500, 19, 26, 540, 500, 289, 500, 5926, 1728, 204, 226, 338, 7867, 5926, 1728, 31, 2989, 19, 23, 465, 2247, 19, 21, 465, 1233, 19, 21, 465, 1132, 19, 22, 465, 500, 289, 13326, 19, 24, 204, 226, 338, 7867, 6826, 22066, 3658, 31, 681, 465, 681, 465, 571, 465, 571, 465, 500, 19, 26, 289, 2905, 19, 26, 204, 226, 338, 2135, 15783, 33692, 31, 13326, 19, 24, 802, 2905, 19, 26, 289, 571, 19, 37873, 204, 204, 18, 10110, 22066, 31, 204, 226, 338, 17307, 45, 19943, 322, 25, 3658, 17, 346, 330, 681, 540, 435, 19, 21, 289, 1132, 5926, 1728, 204, 226, 338, 472, 24510, 21959, 322, 25, 3658, 17, 332, 18, 330, 681, 540, 571, 19, 28, 289, 2905, 19, 29, 5926, 1728, 204, 226, 338, 565, 46, 4755, 25174, 49, 322, 25, 3658, 17, 565, 330, 681, 540, 571, 19, 21, 289, 1598, 19, 21, 5926, 1728, 204, 226, 338, 16563, 40, 39414, 322, 24, 3658, 17, 346, 16, 330, 571, 540, 435, 19, 24, 289, 887, 19, 30, 5926, 1728, 204, 226, 338, 7867, 5926, 1728, 31, 1132, 465, 2905, 19, 29, 465, 1598, 19, 21, 465, 887, 19, 30, 289, 10688, 19, 28, 204, 226, 338, 7867, 6826, 22066, 3658, 31, 681, 465, 681, 465, 681, 465, 571, 289, 2153, 204, 226, 338, 2135, 15783, 33692, 31, 10688, 19, 28, 802, 2153, 289, 435, 19, 28, 2934, 204, 204, 18, 45051, 33692, 1877, 970, 414, 293, 13347, 31, 204, 226, 338, 7867, 5926, 1728, 31, 13326, 19, 24, 465, 10688, 19, 28, 289, 16348, 19, 21, 204, 226, 338, 7867, 6826, 22066, 3658, 31, 2905, 19, 26, 465, 2153, 289, 7500, 19, 26, 204, 226, 338, 45051, 33692, 31, 16348, 19, 21, 802, 7500, 19, 26, 289, 435, 19, 47807, 0, 8, 968, 3454, 348, 5818, 7028, 204, 40980, 68, 19093, 2214, 289, 463, 204, 264, 388, 31663, 559, 2832, 47, 16300, 559, 10785, 3145, 19, 21, 1522, 204, 264, 388, 47, 16300, 559, 2832, 47, 16300, 559, 368, 19, 21, 98, 204, 98, 204, 204, 40980, 68, 9202, 44554, 289, 20846, 204, 204, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 2906, 2872, 3806, 19, 204, 204, 264, 457, 31, 204, 264, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 268, 397, 575, 68, 768, 31, 204, 305, 407, 575, 68, 768, 204, 268, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 537, 1280, 204, 204, 461, 636, 68, 1190, 68, 522, 68, 12053, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 542, 302, 9093, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 542, 302, 9093, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 9093, 497, 275, 575, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 505, 68, 816, 68, 768, 499, 2101, 275, 542, 302, 9093, 31, 4091, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 204, 461, 636, 68, 7305, 68, 4810, 374, 393, 927, 31, 204, 264, 320, 204, 264, 763, 275, 4391, 1690, 329, 8037, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 927, 31, 332, 927, 1174, 275, 4391, 1690, 329, 8037, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4391, 1690, 329, 8037, 497, 275, 575, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 1690, 17, 8037, 289, 636, 68, 816, 68, 768, 499, 2101, 275, 4391, 1690, 329, 8037, 322, 74, 19, 76, 2458, 931, 871, 16300, 330, 6165, 1590, 374, 204, 305, 407, 818, 13, 3949, 659, 8037, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1690, 329, 8037, 1280, 204, 204, 461, 1814, 68, 8653, 13, 3949, 31, 818, 17, 497, 68, 8653, 31, 394, 17, 311, 68, 8653, 31, 394, 14, 393, 818, 31, 204, 264, 320, 204, 264, 2208, 1051, 8037, 311, 3161, 19, 204, 204, 264, 457, 31, 204, 264, 1690, 322, 996, 330, 334, 1690, 311, 1814, 19, 204, 264, 497, 68, 8653, 322, 325, 330, 334, 8037, 311, 1814, 497, 19, 204, 264, 311, 68, 8653, 322, 325, 330, 334, 8037, 311, 1814, 311, 19, 204, 204, 264, 475, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 204, 264, 818, 31, 334, 6004, 1690, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 5818, 2233, 353, 2755, 204, 264, 397, 497, 68, 8653, 508, 292, 11538, 12110, 68, 19093, 2214, 521, 311, 68, 8653, 508, 292, 11538, 12110, 68, 19093, 2214, 64, 531, 68, 8653, 744, 204, 268, 980, 987, 499, 37423, 2233, 508, 2755, 431, 204, 204, 264, 314, 2208, 275, 8037, 204, 264, 407, 1690, 540, 11538, 12110, 68, 19093, 2214, 64, 531, 68, 8653, 1799, 633, 68, 8653, 66, 204, 204, 461, 949, 68, 2609, 68, 876, 13, 920, 68, 12053, 31, 421, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 1113, 700, 302, 275, 9093, 19, 204, 204, 264, 457, 31, 204, 264, 771, 68, 12053, 322, 339, 330, 334, 542, 302, 9093, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 1113, 700, 302, 275, 9093, 19, 204, 264, 320, 204, 264, 314, 977, 275, 1113, 700, 204, 264, 1113, 68, 876, 289, 500, 19, 21, 204, 204, 264, 314, 888, 275, 1113, 700, 204, 264, 348, 906, 292, 933, 13, 920, 68, 12053, 330, 204, 268, 1690, 17, 8037, 289, 636, 68, 7305, 68, 4810, 374, 204, 268, 397, 8037, 564, 388, 47, 16300, 559, 204, 305, 1113, 68, 876, 1412, 1690, 204, 268, 1677, 8037, 564, 388, 31663, 559, 204, 305, 1113, 68, 876, 1412, 1814, 68, 8653, 13, 3949, 17, 388, 31663, 528, 388, 47, 16300, 431, 204, 204, 264, 407, 1113, 68, 876, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 542, 302, 9093, 204, 264, 771, 68, 12053, 289, 636, 68, 1190, 68, 522, 68, 12053, 374, 204, 204, 264, 314, 888, 275, 1113, 700, 204, 264, 1113, 68, 876, 289, 949, 68, 2609, 68, 876, 13, 920, 68, 12053, 14, 204, 204, 264, 314, 1198, 275, 1113, 700, 204, 264, 456, 13, 75, 7, 6425, 700, 31, 463, 2609, 68, 876, 4567, 23, 75, 98, 871, 16300, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 636, 68, 4649, 68, 768, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3596, 575, 537, 329, 16340, 490, 448, 437, 1534, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 7950, 1534, 537, 19, 204, 264, 320, 204, 264, 314, 9799, 3176, 275, 575, 3119, 273, 1097, 1534, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 204, 461, 636, 68, 1530, 68, 416, 68, 409, 68, 1630, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 3596, 275, 1012, 329, 1136, 886, 497, 275, 575, 17, 16054, 275, 1136, 542, 353, 3114, 1194, 275, 1012, 542, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 1012, 329, 1136, 886, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1012, 542, 497, 275, 575, 204, 264, 1012, 68, 1190, 289, 636, 68, 4649, 68, 768, 499, 5213, 2064, 1214, 4145, 542, 31, 2810, 204, 615, 264, 314, 9799, 3176, 275, 575, 348, 275, 1136, 542, 3119, 490, 677, 3114, 1194, 275, 1012, 542, 204, 264, 1335, 959, 31, 204, 268, 1136, 68, 1190, 289, 636, 68, 4649, 68, 768, 499, 5213, 2064, 1214, 9801, 542, 31, 2810, 204, 268, 397, 1136, 68, 1190, 1323, 1012, 68, 1190, 31, 204, 305, 2280, 204, 268, 456, 499, 10981, 299, 542, 869, 311, 444, 3114, 1194, 4145, 542, 1280, 204, 615, 264, 407, 1012, 68, 1190, 17, 1136, 68, 1190, 204, 204, 461, 949, 68, 1190, 68, 22305, 13, 1190, 31, 421, 14, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 3989, 275, 2415, 329, 6871, 302, 273, 542, 19, 204, 204, 264, 457, 31, 204, 268, 542, 322, 339, 330, 334, 542, 311, 949, 275, 9350, 348, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 2415, 329, 6871, 302, 275, 542, 19, 204, 264, 320, 204, 264, 314, 888, 275, 2415, 329, 6871, 302, 275, 542, 974, 19883, 204, 264, 2415, 289, 542, 930, 435, 204, 264, 6871, 289, 542, 930, 571, 204, 264, 407, 2415, 17, 6871, 204, 204, 461, 456, 68, 6845, 68, 13583, 68, 1867, 13, 1530, 68, 1190, 31, 421, 17, 1136, 68, 1190, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2415, 18, 13583, 1435, 348, 275, 800, 933, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 1012, 68, 1190, 322, 339, 330, 334, 4145, 542, 302, 275, 933, 19, 204, 268, 1136, 68, 1190, 322, 339, 330, 334, 9801, 542, 302, 275, 933, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 1435, 3494, 204, 264, 456, 499, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 12779, 30714, 89, 431, 204, 264, 456, 499, 4290, 528, 388, 41101, 528, 388, 42480, 336, 528, 12779, 30714, 89, 431, 204, 264, 456, 499, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 388, 1022, 540, 1168, 17, 12779, 30714, 89, 431, 204, 615, 264, 314, 1198, 275, 1435, 3015, 204, 264, 348, 542, 292, 933, 13, 1530, 68, 1190, 17, 1136, 68, 1190, 465, 368, 330, 204, 268, 2415, 17, 6871, 289, 949, 68, 1190, 68, 22305, 13, 1190, 14, 204, 268, 456, 13, 1190, 17, 2415, 17, 6871, 17, 12779, 30714, 89, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 456, 499, 15352, 311, 275, 2415, 18, 13583, 1435, 4651, 1280, 204, 264, 1012, 68, 1190, 17, 1136, 68, 1190, 289, 636, 68, 1530, 68, 416, 68, 409, 68, 1630, 374, 204, 264, 456, 68, 6845, 68, 13583, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1867, 13, 1530, 68, 1190, 17, 1136, 68, 1190, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5567, 532, 4942, 204, 531, 5567, 19, 5554, 19, 4608, 19, 1424, 532, 4596, 204, 647, 2821, 204, 647, 690, 204, 531, 5567, 19, 5554, 19, 6815, 19, 3802, 532, 9552, 204, 531, 5567, 19, 5554, 19, 6815, 532, 1812, 68, 9821, 448, 7999, 204, 204, 461, 949, 68, 6452, 13, 768, 68, 876, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 888, 275, 2073, 1609, 523, 275, 800, 537, 700, 19, 204, 204, 264, 334, 2073, 353, 3392, 448, 275, 4193, 14821, 302, 275, 4923, 700, 302, 1598, 2666, 275, 10362, 302, 275, 537, 700, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 876, 322, 339, 330, 334, 537, 700, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3392, 2073, 19, 204, 264, 320, 204, 264, 314, 888, 275, 2073, 974, 275, 800, 2089, 204, 264, 407, 394, 13, 3394, 19, 761, 13, 4977, 13, 1258, 540, 2821, 19, 2883, 13, 768, 68, 876, 18742, 204, 204, 461, 12136, 68, 633, 68, 27593, 13, 2127, 31, 4942, 19, 7140, 14, 393, 443, 31, 204, 264, 320, 204, 264, 11454, 311, 275, 10572, 19, 204, 204, 264, 457, 31, 204, 268, 3175, 322, 5554, 19, 7140, 330, 334, 14025, 7471, 1014, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1274, 302, 275, 10572, 204, 264, 1779, 289, 388, 3189, 1963, 32570, 837, 31541, 19, 8750, 19, 936, 20, 4118, 68, 5154, 19, 2079, 7, 204, 264, 314, 11454, 311, 275, 10572, 204, 264, 3175, 19, 505, 13, 805, 14, 204, 204, 461, 5233, 68, 607, 68, 654, 13, 2127, 31, 4942, 19, 7140, 17, 2073, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10155, 685, 275, 798, 440, 275, 3392, 2073, 19, 204, 204, 264, 457, 31, 204, 268, 3175, 322, 5554, 19, 7140, 330, 334, 14025, 7471, 1014, 19, 204, 268, 2073, 322, 325, 330, 334, 3392, 2073, 19, 204, 264, 320, 204, 264, 314, 5730, 348, 275, 537, 1242, 311, 444, 9455, 204, 264, 537, 68, 1993, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 6452, 3063, 204, 264, 1179, 204, 264, 314, 38406, 275, 537, 1242, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 537, 68, 1993, 14, 204, 264, 314, 10155, 685, 275, 537, 1242, 440, 275, 2073, 204, 264, 537, 68, 1993, 19, 3345, 68, 3261, 13, 6452, 14, 204, 204, 264, 314, 5730, 348, 275, 24435, 311, 444, 9455, 204, 264, 24435, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 9837, 5995, 2036, 3063, 204, 264, 1179, 204, 264, 314, 38406, 275, 24435, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 24435, 14, 204, 264, 314, 8731, 275, 24435, 204, 264, 24435, 19, 4357, 374, 204, 204, 264, 314, 5730, 348, 275, 10499, 2963, 311, 444, 9455, 204, 264, 10499, 68, 2947, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 32024, 15767, 3063, 204, 264, 1179, 204, 264, 314, 38406, 275, 10499, 2963, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 10499, 68, 2947, 14, 204, 264, 314, 8731, 275, 10499, 2963, 204, 264, 10499, 68, 2947, 19, 4357, 374, 204, 204, 461, 7070, 68, 654, 13, 2127, 31, 4942, 19, 7140, 14, 393, 443, 31, 204, 264, 320, 204, 264, 13924, 275, 798, 19, 204, 204, 264, 457, 31, 204, 268, 3175, 322, 5554, 19, 7140, 330, 334, 14025, 7471, 1014, 19, 204, 264, 320, 204, 264, 314, 5730, 348, 275, 7070, 2963, 311, 444, 9455, 204, 264, 7070, 68, 2947, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 268, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 14507, 68, 16355, 17, 388, 2947, 19, 14323, 3687, 204, 264, 1179, 204, 264, 314, 38406, 275, 7070, 2963, 1025, 2013, 204, 264, 3175, 19, 4118, 68, 5154, 499, 3309, 1906, 64, 21, 1664, 17783, 6594, 84, 3244, 13, 4855, 5224, 528, 7070, 68, 2947, 14, 204, 264, 314, 8731, 275, 7070, 2963, 204, 264, 7070, 68, 2947, 19, 4357, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 717, 1014, 302, 275, 7099, 3175, 204, 268, 3175, 289, 4942, 19, 7140, 374, 204, 268, 314, 11454, 311, 275, 10572, 204, 268, 12136, 68, 633, 68, 27593, 13, 2127, 14, 204, 268, 314, 5730, 348, 275, 537, 700, 311, 444, 9455, 204, 268, 537, 68, 876, 68, 1849, 289, 9552, 13, 2127, 17, 931, 789, 2776, 13, 204, 305, 7999, 19, 22642, 68, 522, 68, 1849, 68, 12106, 1802, 3609, 19, 1701, 17, 379, 768, 68, 876, 3063, 204, 268, 1179, 204, 268, 314, 763, 275, 537, 700, 204, 268, 537, 68, 876, 289, 421, 13, 768, 68, 876, 68, 1849, 19, 492, 14, 204, 268, 314, 888, 275, 2073, 204, 268, 2073, 289, 949, 68, 6452, 13, 768, 68, 876, 14, 204, 268, 314, 10155, 685, 275, 798, 440, 275, 2073, 204, 268, 5233, 68, 607, 68, 654, 13, 2127, 17, 2073, 14, 204, 268, 314, 13924, 275, 798, 204, 268, 7070, 68, 654, 13, 2127, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1198, 1169, 2744, 496, 1336, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 264, 6666, 31, 204, 268, 314, 5730, 348, 2153, 3331, 2518, 47909, 275, 3175, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 690, 19, 4867, 13, 1909, 14, 204, 268, 314, 15655, 275, 3175, 204, 268, 3175, 19, 8289, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 5681, 6695, 2804, 6976, 2115, 22318, 490, 353, 2323, 6296, 348, 6757, 311, 2566, 1475, 311, 273, 690, 18, 607, 2817, 17, 758, 273, 9869, 17, 329, 1330, 275, 690, 353, 719, 2512, 1475, 311, 3891, 1818, 329, 5157, 275, 1627, 19, 8624, 2666, 17, 448, 2804, 529, 8386, 299, 2545, 2312, 311, 690, 18, 607, 17, 808, 618, 36193, 316, 1025, 5805, 3171, 16599, 17, 12637, 6757, 440, 4260, 273, 11373, 3171, 22274, 1194, 275, 2171, 6137, 32783, 10948, 17, 521, 14694, 5501, 497, 275, 8642, 31371, 329, 29043, 19, 204, 3103, 18, 607, 867, 15975, 7001, 448, 273, 2140, 9037, 311, 1573, 1378, 299, 521, 16259, 281, 25983, 19, 1547, 867, 7784, 311, 444, 690, 18, 607, 497, 2140, 30609, 19, 1547, 867, 6202, 13379, 311, 3472, 3161, 798, 302, 25983, 19, 3242, 20948, 884, 88, 874, 15101, 275, 16544, 1536, 5581, 302, 690, 18, 607, 17, 329, 448, 572, 529, 3100, 1182, 1465, 1656, 4383, 17, 490, 353, 4199, 496, 690, 18, 607, 869, 2917, 6126, 523, 2804, 17, 329, 5680, 3100, 7336, 497, 17140, 8881, 292, 690, 18, 607, 19, 24927, 42312, 20398, 17, 273, 20948, 523, 5875, 4383, 17, 8635, 1704, 12074, 496, 17, 1330, 11188, 32621, 17, 690, 18, 607, 353, 9882, 292, 275, 5875, 275, 1729, 2501, 496, 6015, 11268, 353, 9882, 19, 204, 5039, 1182, 3793, 329, 5384, 7336, 685, 1465, 1656, 4383, 572, 2379, 496, 7553, 8881, 5501, 311, 690, 18, 607, 1330, 1250, 529, 6976, 2115, 77, 3333, 17, 1330, 572, 24475, 497, 1475, 630, 273, 690, 302, 9422, 17, 9211, 4238, 2075, 1250, 7051, 1519, 1330, 1250, 529, 11877, 685, 17, 928, 353, 1727, 19, 12817, 292, 690, 18, 607, 529, 508, 8993, 1465, 2075, 1250, 3756, 9263, 19, 3433, 529, 508, 19249, 447, 47625, 1070, 1662, 1250, 618, 11564, 1017, 6137, 329, 770, 4037, 1682, 690, 19, 3682, 18, 607, 1583, 508, 2652, 275, 6137, 496, 7550, 8881, 2312, 1422, 292, 275, 1043, 2481, 17, 329, 490, 1583, 9430, 311, 11524, 2804, 275, 6173, 1250, 1519, 311, 2652, 6137, 754, 1250, 618, 770, 4037, 5751, 4533, 19, 3682, 18, 607, 353, 273, 13273, 5910, 496, 1583, 508, 636, 630, 275, 6836, 302, 24910, 8749, 19, 204, 38492, 353, 8749, 19, 1547, 353, 508, 1400, 19, 5610, 6137, 353, 8784, 1382, 329, 869, 5268, 19, 4168, 572, 2379, 2075, 2077, 2804, 884, 88, 6137, 353, 34026, 572, 618, 12965, 311, 275, 1610, 302, 275, 8749, 329, 1995, 2075, 353, 4331, 19, 3065, 529, 2327, 5337, 6137, 1741, 444, 34026, 31, 794, 2532, 5252, 17, 794, 3838, 336, 6173, 17, 521, 794, 41206, 370, 18, 2141, 1745, 19, 204, 3739, 2532, 5252, 618, 444, 6015, 5252, 2090, 8881, 2545, 30015, 521, 33472, 521, 1250, 618, 444, 14840, 5252, 1273, 2804, 1519, 1182, 1727, 521, 6005, 497, 3153, 1250, 8336, 19, 1628, 3838, 336, 6173, 353, 273, 2323, 12337, 348, 36317, 6376, 329, 31389, 375, 19, 12060, 6173, 529, 11712, 17148, 329, 397, 2804, 874, 508, 11712, 4153, 6173, 572, 1120, 3020, 490, 292, 1017, 6137, 19, 1628, 41206, 370, 18, 2141, 1745, 353, 4193, 329, 2519, 292, 6695, 2804, 19, 1058, 353, 273, 9365, 496, 5178, 690, 348, 2804, 311, 4309, 329, 2390, 19, 204, 3070, 690, 18, 607, 311, 444, 273, 2140, 329, 6639, 45058, 5910, 572, 1519, 311, 444, 44977, 311, 2804, 329, 2506, 690, 338, 607, 448, 273, 690, 348, 401, 6492, 329, 9328, 12890, 884, 88, 5252, 19, 40410, 690, 18, 607, 17, 8993, 496, 2804, 1120, 4368, 490, 685, 1335, 18282, 9999, 353, 5585, 45058, 497, 275, 5378, 19, 204, 23320, 545, 690, 18, 17541, 1696, 1605, 3420, 3214, 31, 204, 18, 1687, 5501, 497, 275, 8642, 329, 1340, 1214, 1656, 636, 27484, 19, 31742, 299, 17, 6432, 6497, 12444, 88, 4430, 17, 521, 18282, 19249, 447, 529, 830, 14359, 292, 5202, 311, 273, 2481, 302, 27484, 19, 1785, 2950, 1307, 7883, 275, 904, 3214, 17, 572, 2950, 11524, 3119, 8881, 529, 27484, 19, 204, 18, 22427, 2075, 353, 6186, 523, 2317, 1622, 5399, 353, 2075, 382, 10946, 19276, 329, 490, 353, 508, 38124, 3582, 204, 18, 39224, 273, 717, 9365, 521, 1895, 273, 3478, 348, 18120, 1818, 1025, 275, 8642, 19, 204, 18, 6351, 1360, 329, 14973, 2804, 311, 1307, 1818, 685, 329, 810, 2528, 2317, 1622, 46, 2379, 872, 618, 770, 808, 17, 872, 884, 272, 273, 4382, 12890, 3582, 204, 1252, 266, 6921, 19, 16211, 19, 10693, 19, 828, 2804, 1307, 1818, 685, 329, 770, 4382, 440, 1017, 6137, 29909, 275, 717, 2140, 6137, 1250, 529, 21381, 292, 19, 4168, 2804, 1307, 1818, 685, 329, 9437, 275, 2917, 6137, 17, 9561, 275, 1656, 1818, 685, 17, 6926, 598, 1475, 497, 275, 8642, 329, 9437, 275, 9116, 302, 275, 717, 9365, 521, 13133, 1182, 690, 440, 370, 18, 2141, 1745, 2518, 7553, 1475, 685, 311, 810, 1051, 1182, 690, 19, 828, 2804, 529, 3848, 28166, 1877, 572, 9437, 275, 9116, 1352, 1250, 1741, 1519, 311, 444, 4123, 336, 311, 3161, 4801, 348, 3303, 19, 828, 1250, 2950, 444, 4123, 336, 17, 6757, 1741, 1519, 311, 1136, 275, 790, 4801, 521, 8720, 275, 1643, 521, 1370, 672, 19, 6046, 6044, 6976, 28909, 1741, 444, 34026, 17, 1622, 46, 770, 508, 874, 275, 6173, 329, 808, 353, 2842, 4440, 5027, 1629, 3303, 3582, 204, 14703, 4925, 353, 273, 690, 348, 3100, 329, 4461, 23233, 7336, 440, 3100, 19, 11453, 4263, 448, 6757, 353, 508, 1465, 5701, 3326, 1048, 2077, 2804, 1101, 6216, 311, 1340, 2804, 2390, 275, 6173, 1250, 1519, 311, 444, 10048, 329, 2707, 292, 3307, 19, 19081, 1605, 6173, 5178, 690, 17, 2886, 17, 23942, 17, 329, 19720, 19, 3242, 2804, 529, 9104, 329, 5343, 6173, 9356, 496, 8160, 7597, 19, 16399, 299, 353, 1182, 1194, 5202, 2804, 311, 28441, 4037, 19, 29548, 6137, 353, 34866, 319, 523, 275, 3633, 572, 874, 440, 2077, 2804, 19, 8800, 45058, 4442, 6, 0, 315, 204, 19619, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3467, 348, 275, 1464, 3146, 19, 204, 204, 1834, 3467, 3416, 719, 275, 1464, 3146, 17, 928, 3629, 437, 11216, 15349, 348, 275, 346, 8992, 23119, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 204, 647, 2454, 204, 204, 461, 3219, 68, 396, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 1464, 3146, 19, 204, 204, 264, 1058, 741, 26402, 275, 1464, 3146, 17, 2864, 1163, 3688, 329, 6127, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 968, 3146, 3688, 204, 268, 3146, 68, 4591, 289, 463, 204, 305, 388, 417, 559, 388, 396, 528, 204, 305, 388, 2256, 559, 388, 21, 19, 22, 18, 4548, 528, 204, 305, 388, 2749, 559, 388, 11630, 10638, 15349, 348, 275, 346, 8992, 23119, 528, 204, 305, 388, 5515, 68, 2749, 559, 388, 38, 10660, 2342, 302, 275, 3146, 528, 204, 305, 388, 4020, 559, 388, 10357, 4014, 528, 204, 305, 388, 4020, 68, 2302, 559, 388, 7941, 19, 2302, 37, 2569, 19, 1453, 528, 204, 305, 388, 12477, 559, 388, 72, 861, 1464, 11216, 15349, 528, 204, 305, 388, 19994, 559, 551, 204, 485, 388, 24970, 10352, 5997, 571, 338, 22499, 528, 204, 485, 388, 30237, 28468, 5997, 35507, 528, 204, 485, 388, 19086, 5997, 28482, 28007, 5997, 20610, 11357, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 27, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 28, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 29, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 30, 528, 204, 305, 7241, 204, 305, 388, 9290, 559, 3134, 396, 2869, 204, 305, 388, 5207, 68, 11729, 559, 388, 17823, 24, 19, 27, 7, 204, 268, 1211, 204, 204, 268, 314, 1359, 719, 275, 3146, 204, 268, 3219, 7680, 4780, 68, 4591, 14, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 3219, 2744, 204, 268, 456, 13, 75, 7, 596, 5465, 719, 3146, 31, 463, 74, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2466, 275, 3219, 741, 204, 264, 3219, 68, 396, 68, 4780, 374, 204, 0, 647, 10697, 448, 3347, 204, 531, 10697, 532, 15295, 3873, 204, 531, 34337, 532, 29829, 204, 531, 8982, 532, 8982, 204, 204, 676, 36632, 11868, 31, 204, 264, 320, 204, 264, 332, 4607, 348, 275, 11029, 1470, 19, 204, 204, 264, 1532, 31, 204, 268, 2260, 322, 7882, 330, 334, 2260, 2158, 19, 204, 268, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 2023, 322, 16996, 330, 334, 4607, 2023, 19, 204, 268, 8982, 322, 655, 330, 332, 458, 302, 4607, 8982, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 31, 3347, 19, 7882, 17, 11029, 330, 204, 268, 320, 204, 268, 1865, 275, 11029, 4607, 19, 204, 204, 268, 457, 31, 204, 305, 2260, 322, 7882, 330, 334, 2260, 2158, 19, 204, 305, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 320, 204, 268, 370, 19, 3619, 289, 2260, 204, 268, 370, 19, 15892, 289, 11029, 204, 268, 370, 19, 2435, 289, 2260, 19, 43937, 68, 2435, 374, 204, 268, 370, 19, 2757, 289, 2260, 19, 43937, 68, 2757, 374, 204, 268, 370, 19, 1669, 289, 3347, 19, 16996, 13, 327, 19, 3619, 17, 2198, 34, 327, 19, 2435, 17, 1853, 34, 327, 19, 2757, 802, 1233, 17, 13452, 1022, 8683, 431, 204, 268, 370, 19, 12766, 289, 1306, 204, 204, 268, 314, 1385, 2388, 204, 268, 370, 19, 2936, 289, 463, 204, 305, 388, 30633, 68, 398, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 30633, 398, 19, 18602, 3186, 204, 305, 388, 4046, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 4046, 19, 18602, 3186, 204, 305, 388, 18705, 898, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 18705, 898, 19, 18602, 3186, 204, 305, 388, 7760, 280, 898, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 7760, 280, 19, 18602, 3186, 204, 305, 388, 7142, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 7142, 24845, 19, 18602, 3186, 204, 305, 388, 83, 573, 574, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 83, 573, 574, 19, 18602, 3186, 204, 305, 388, 13980, 68, 8289, 559, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 13980, 46282, 19, 18602, 431, 204, 268, 1211, 204, 204, 268, 314, 666, 8982, 204, 268, 370, 19, 30633, 68, 398, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 17, 1354, 34, 327, 19, 30633, 68, 398, 14, 204, 268, 370, 19, 4046, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 17, 1354, 34, 327, 19, 4046, 14, 204, 268, 370, 19, 18705, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 17, 1354, 34, 327, 19, 18705, 898, 14, 204, 268, 370, 19, 7142, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 1669, 14, 204, 204, 268, 370, 19, 12766, 19, 6683, 1568, 327, 19, 30633, 68, 398, 68, 2947, 17, 370, 19, 4046, 68, 2947, 17, 370, 19, 18705, 68, 2947, 17, 370, 19, 7142, 68, 2947, 694, 204, 204, 264, 436, 2037, 13, 327, 330, 204, 268, 320, 204, 268, 10616, 275, 11029, 4607, 19, 204, 268, 320, 204, 268, 314, 6153, 8982, 204, 268, 370, 19, 30633, 68, 398, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 30633, 68, 398, 3808, 204, 268, 370, 19, 30633, 68, 398, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 17, 18341, 34, 21, 14, 204, 204, 268, 370, 19, 4046, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 4046, 3808, 204, 268, 370, 19, 4046, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 19, 1845, 3699, 17, 18341, 34, 21, 14, 204, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 18705, 898, 31, 204, 305, 370, 19, 18705, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 18705, 898, 3808, 204, 268, 902, 31, 204, 305, 370, 19, 18705, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 7760, 280, 898, 3808, 204, 268, 370, 19, 18705, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 19, 3894, 23, 17, 18341, 34, 21, 14, 204, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 31, 204, 305, 370, 19, 7142, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 7142, 2869, 1354, 34, 327, 19, 7142, 68, 2588, 14, 204, 268, 902, 31, 204, 305, 370, 19, 7142, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 83, 573, 574, 3808, 204, 268, 370, 19, 7142, 68, 2947, 19, 1721, 13, 2024, 93, 34, 21, 19, 4553, 22, 17, 18341, 34, 21, 14, 204, 204, 268, 314, 10806, 2023, 204, 268, 370, 19, 1669, 19, 3674, 13, 2662, 34, 4111, 19, 19222, 14, 204, 204, 264, 436, 5190, 68, 398, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 5190, 719, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 666, 8184, 12363, 8320, 204, 268, 5190, 68, 398, 68, 5321, 289, 29829, 19, 17566, 3940, 13, 327, 19, 15892, 19, 1669, 14, 204, 268, 5190, 68, 398, 68, 5321, 19, 3377, 68, 398, 68, 1669, 19, 1510, 68, 935, 13, 21, 17, 500, 17, 752, 34, 327, 19, 2936, 1166, 13980, 68, 8289, 2869, 12205, 34, 4111, 19, 45156, 14, 204, 268, 8184, 68, 8289, 68, 10897, 289, 30225, 46282, 12950, 13, 30633, 68, 398, 68, 5321, 17, 370, 19, 15892, 17, 1384, 93, 40960, 11165, 17, 18341, 40960, 3534, 14, 204, 268, 8982, 19, 3882, 6059, 13, 30633, 68, 398, 68, 5321, 17, 1384, 93, 40960, 3534, 17, 18341, 40960, 3534, 14, 204, 204, 264, 436, 1640, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 1640, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 3594, 1640, 204, 268, 370, 19, 15892, 19, 4046, 19, 1510, 68, 935, 13, 327, 19, 15892, 19, 1669, 17, 370, 19, 2435, 17, 370, 19, 2757, 14, 204, 204, 264, 436, 8810, 898, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 8810, 898, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 22874, 898, 2061, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 18705, 898, 31, 204, 305, 370, 19, 15892, 19, 3280, 19, 18705, 898, 4922, 368, 204, 305, 397, 370, 19, 15892, 19, 3280, 19, 18705, 898, 2186, 500, 31, 204, 485, 370, 19, 15892, 19, 3280, 19, 18705, 898, 289, 500, 204, 485, 370, 19, 2936, 1166, 18705, 898, 1339, 289, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 7760, 280, 19, 18602, 431, 204, 485, 370, 19, 18705, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 18705, 898, 3808, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 18705, 10715, 289, 959, 204, 305, 370, 19, 15892, 19, 1669, 19, 1271, 1087, 13, 327, 19, 15892, 19, 3280, 19, 1229, 19, 935, 17, 5233, 24653, 30, 4832, 43305, 431, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 289, 370, 19, 15892, 19, 29641, 19, 2017, 68, 15084, 13, 21, 17, 370, 19, 15892, 19, 29641, 19, 3173, 17, 500, 17, 370, 19, 15892, 19, 29641, 19, 6103, 14, 204, 305, 370, 19, 15892, 19, 3280, 19, 93, 289, 370, 19, 15892, 19, 3280, 19, 1229, 19, 93, 204, 305, 370, 19, 15892, 19, 3280, 19, 94, 289, 370, 19, 15892, 19, 3280, 19, 1229, 19, 94, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 14049, 289, 959, 204, 305, 370, 19, 15892, 19, 1669, 19, 2756, 13, 327, 19, 15892, 19, 3280, 19, 935, 14, 204, 305, 370, 19, 15892, 19, 3280, 19, 747, 1292, 13, 327, 19, 15892, 19, 1669, 17, 370, 19, 15892, 19, 3199, 68, 93, 17, 370, 19, 15892, 19, 3199, 68, 94, 14, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 18705, 10715, 289, 959, 204, 305, 370, 19, 15892, 19, 1669, 19, 1271, 1087, 13, 327, 19, 15892, 19, 3280, 19, 1229, 19, 935, 17, 5233, 24653, 30, 4832, 43305, 431, 204, 305, 370, 19, 3619, 19, 2045, 374, 204, 204, 264, 436, 7264, 68, 2588, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 7264, 24845, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 8715, 24845, 204, 268, 397, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 31, 204, 305, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 4922, 368, 204, 305, 397, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 2186, 500, 31, 204, 485, 370, 19, 15892, 19, 3280, 19, 7142, 68, 3809, 289, 500, 204, 485, 370, 19, 2936, 1166, 7142, 1339, 289, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 83, 573, 574, 19, 18602, 431, 204, 485, 370, 19, 7142, 68, 2947, 19, 1087, 13, 935, 34, 327, 19, 2936, 1166, 7142, 3808, 204, 305, 348, 1237, 292, 370, 19, 15892, 19, 29641, 19, 2706, 31, 204, 485, 348, 7012, 292, 1237, 31, 204, 895, 7012, 19, 14049, 289, 1078, 204, 895, 7012, 19, 74, 14049, 289, 1078, 204, 895, 7012, 19, 696, 7098, 289, 1078, 204, 895, 7012, 19, 18705, 10715, 289, 1078, 204, 305, 348, 8821, 292, 370, 19, 15892, 19, 29641, 19, 33468, 31, 204, 485, 8821, 19, 17036, 289, 1078, 204, 305, 370, 19, 15892, 19, 3280, 19, 1229, 19, 14049, 289, 959, 204, 305, 348, 8821, 292, 370, 19, 15892, 19, 29641, 19, 33468, 31, 204, 485, 8821, 19, 1229, 19, 74, 14049, 289, 959, 204, 305, 370, 19, 15892, 19, 747, 1292, 374, 204, 204, 676, 30225, 46282, 12950, 13, 12766, 19, 12950, 6059, 330, 204, 264, 320, 204, 264, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 332, 18082, 2963, 348, 275, 8184, 12363, 8320, 19, 204, 204, 264, 1532, 31, 204, 268, 2260, 31, 334, 2260, 2158, 19, 204, 268, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 1384, 93, 322, 996, 330, 334, 4785, 610, 1502, 19, 204, 268, 18341, 322, 996, 330, 334, 4785, 469, 1502, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 17, 11029, 17, 1384, 93, 31, 818, 289, 500, 17, 18341, 31, 818, 289, 500, 330, 204, 268, 320, 204, 268, 1865, 275, 8184, 12363, 18082, 2963, 19, 204, 204, 268, 457, 31, 204, 305, 2260, 31, 334, 2260, 2158, 19, 204, 305, 11029, 31, 334, 11029, 1470, 726, 19, 204, 305, 1384, 93, 322, 996, 17, 1448, 330, 334, 4785, 610, 1502, 19, 1243, 311, 500, 19, 204, 305, 18341, 322, 996, 17, 1448, 330, 334, 4785, 469, 1502, 19, 1243, 311, 500, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 3619, 17, 1384, 93, 34, 2024, 93, 17, 18341, 34, 272, 447, 14, 204, 268, 370, 19, 15892, 289, 11029, 204, 268, 370, 19, 1957, 289, 443, 204, 268, 370, 19, 4046, 289, 443, 204, 204, 264, 436, 6137, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 666, 8184, 12363, 8320, 204, 268, 370, 19, 1957, 289, 15295, 3873, 13, 553, 34, 87, 7, 41520, 65, 15892, 68, 5386, 68, 514, 65, 72, 86, 75, 19, 18602, 431, 204, 268, 28877, 4540, 289, 29829, 19, 17566, 3940, 13, 327, 19, 3619, 19, 3619, 14, 204, 268, 28877, 4540, 19, 3377, 68, 398, 68, 1669, 19, 1510, 68, 935, 13, 21, 17, 500, 17, 752, 34, 327, 19, 1957, 17, 12205, 34, 4111, 19, 45156, 14, 204, 268, 5847, 68, 8289, 68, 10897, 289, 21313, 46282, 12950, 13, 10815, 4540, 17, 370, 19, 15892, 17, 2617, 11165, 17, 2617, 3534, 14, 204, 268, 370, 19, 4046, 289, 3347, 19, 6059, 13, 10815, 4540, 19, 3377, 68, 398, 68, 1669, 17, 1354, 34, 327, 19, 15892, 19, 5386, 19, 4046, 14, 204, 268, 370, 19, 4046, 19, 1087, 13, 935, 34, 327, 19, 15892, 19, 5386, 19, 2936, 1166, 4046, 3808, 204, 268, 370, 19, 4046, 19, 1721, 13, 2024, 93, 40960, 35936, 17, 18341, 40960, 3534, 14, 204, 268, 8982, 19, 3882, 6059, 13, 10815, 4540, 17, 1384, 93, 40960, 3534, 17, 18341, 40960, 3534, 14, 204, 204, 676, 21313, 46282, 12950, 13, 12766, 19, 12950, 6059, 330, 204, 264, 320, 204, 264, 332, 18082, 2963, 348, 275, 5847, 12363, 8320, 19, 204, 204, 264, 1532, 31, 204, 268, 2260, 31, 334, 2260, 2158, 19, 204, 268, 11029, 31, 334, 11029, 1470, 726, 19, 204, 268, 610, 322, 996, 330, 334, 610, 1502, 19, 204, 268, 469, 322, 996, 330, 334, 469, 1502, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 17, 11029, 17, 610, 17, 469, 330, 204, 268, 320, 204, 268, 1865, 275, 5847, 12363, 18082, 2963, 19, 204, 204, 268, 457, 31, 204, 305, 2260, 31, 334, 2260, 2158, 19, 204, 305, 11029, 31, 334, 11029, 1470, 726, 19, 204, 305, 610, 31, 334, 610, 1502, 19, 204, 305, 469, 31, 334, 469, 1502, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 3619, 17, 1384, 93, 34, 93, 17, 18341, 34, 94, 14, 204, 268, 370, 19, 15892, 289, 11029, 204, 204, 264, 436, 6137, 13, 327, 330, 204, 268, 320, 204, 268, 5133, 275, 2963, 4974, 19, 204, 268, 320, 204, 268, 314, 15655, 1470, 204, 268, 456, 499, 7351, 31, 6277, 370, 19, 15892, 19, 2201, 14, 204, 268, 456, 499, 3753, 6457, 31, 6277, 370, 19, 15892, 19, 3280, 19, 43914, 14, 204, 268, 370, 19, 15892, 19, 18990, 374, 204, 268, 370, 19, 15892, 19, 4187, 289, 1078, 204, 268, 6924, 370, 19, 15892, 204, 0, 647, 1437, 204, 531, 1437, 532, 2839, 204, 531, 1437, 532, 13783, 448, 412, 204, 204, 676, 297, 40, 39903, 33133, 1655, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 6071, 297, 40, 39903, 6063, 3272, 19, 204, 204, 264, 457, 31, 204, 268, 8097, 322, 996, 330, 17833, 348, 9077, 3272, 204, 268, 16295, 322, 996, 330, 16295, 700, 204, 204, 264, 14924, 31, 204, 268, 338, 4429, 31, 19429, 68, 481, 322, 14514, 17, 346, 17, 552, 17, 595, 17, 412, 14, 204, 268, 338, 3215, 31, 36076, 13, 33222, 31, 322, 14514, 17, 346, 17, 552, 17, 595, 17, 412, 659, 2233, 31, 322, 14514, 17, 346, 17, 552, 17, 595, 17, 412, 602, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 8097, 31, 818, 289, 571, 2458, 16295, 31, 818, 289, 500, 19, 3222, 330, 204, 268, 320, 204, 268, 1865, 275, 297, 40, 39903, 2413, 19, 204, 204, 268, 457, 31, 204, 305, 8097, 322, 996, 330, 17833, 348, 9077, 3272, 204, 305, 16295, 322, 996, 330, 16295, 700, 204, 268, 320, 204, 268, 2234, 3853, 924, 6203, 204, 268, 314, 1974, 273, 1182, 11100, 1554, 588, 5976, 302, 379, 3907, 12, 204, 268, 370, 19, 9655, 68, 8053, 68, 6854, 289, 1437, 19, 2606, 19, 11427, 13, 3109, 19, 3116, 13, 3907, 602, 204, 268, 314, 6676, 275, 16295, 448, 273, 5668, 311, 4516, 490, 2545, 273, 3918, 204, 268, 370, 19, 4216, 68, 6437, 611, 23760, 68, 876, 491, 1437, 19, 3116, 13, 23760, 602, 204, 204, 264, 436, 906, 3446, 68, 33222, 13, 327, 17, 19429, 68, 481, 31, 1437, 19, 1556, 17, 5665, 68, 9677, 31, 818, 14, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 3989, 275, 10879, 348, 275, 36076, 3272, 19, 204, 204, 268, 457, 31, 204, 305, 19429, 68, 481, 322, 3109, 19, 1556, 330, 47317, 424, 204, 305, 5665, 68, 9677, 322, 996, 330, 28337, 6063, 700, 204, 204, 268, 475, 31, 204, 305, 1437, 19, 1556, 31, 852, 25217, 204, 268, 320, 204, 268, 314, 1255, 5665, 6063, 311, 275, 19429, 424, 204, 268, 19429, 68, 481, 68, 2004, 68, 9409, 289, 19429, 68, 481, 465, 5665, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 9677, 204, 268, 314, 14796, 324, 275, 1019, 311, 4516, 4854, 560, 2962, 204, 268, 19429, 68, 481, 68, 2004, 68, 9409, 19, 32314, 11662, 885, 34, 22, 19, 21, 14, 204, 268, 314, 888, 275, 10879, 204, 268, 10879, 289, 322, 45297, 68, 481, 68, 2004, 68, 9409, 338, 370, 19, 23760, 68, 876, 14, 802, 370, 19, 9655, 68, 8053, 68, 6854, 204, 268, 407, 10879, 204, 204, 264, 436, 4533, 13, 327, 17, 19429, 68, 481, 31, 1437, 19, 1556, 17, 5665, 68, 9677, 31, 818, 14, 393, 412, 19, 23866, 31, 204, 268, 320, 204, 268, 6071, 275, 297, 40, 39903, 6063, 3272, 19, 204, 204, 268, 457, 31, 204, 305, 19429, 68, 481, 322, 3109, 19, 1556, 330, 47317, 424, 204, 305, 5665, 68, 9677, 322, 996, 330, 28337, 6063, 700, 204, 204, 268, 475, 31, 204, 305, 412, 19, 23866, 31, 297, 40, 39903, 6063, 3272, 204, 268, 320, 204, 268, 314, 888, 275, 10879, 204, 268, 10879, 289, 370, 806, 3446, 68, 33222, 13, 45297, 68, 481, 17, 5665, 68, 9677, 14, 204, 268, 314, 666, 273, 36076, 3272, 440, 275, 3392, 10879, 329, 2233, 204, 268, 19429, 68, 8053, 289, 412, 19, 23866, 13, 33222, 34, 33222, 17, 2233, 34, 22, 802, 370, 19, 9655, 68, 8053, 68, 6854, 14, 204, 268, 407, 19429, 68, 8053, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 297, 40, 39903, 33133, 1655, 204, 264, 6063, 68, 809, 289, 297, 40, 39903, 33133, 1655, 13, 3907, 34, 24, 19, 21, 17, 16295, 34, 21, 19, 3222, 14, 204, 615, 264, 314, 666, 1429, 19429, 424, 204, 264, 19429, 68, 481, 289, 1437, 19, 9054, 13, 22, 17, 571, 17, 7328, 17, 7328, 17, 368, 14, 204, 615, 264, 314, 666, 1429, 5665, 6063, 204, 264, 5665, 68, 9677, 289, 500, 19, 22, 204, 615, 264, 314, 2069, 275, 297, 40, 39903, 6063, 3272, 204, 264, 6063, 68, 8053, 289, 6063, 68, 809, 13, 45297, 68, 481, 17, 5665, 68, 9677, 14, 204, 615, 264, 314, 1198, 275, 10879, 329, 2233, 302, 275, 6063, 3272, 204, 264, 456, 499, 1046, 25217, 2180, 6063, 68, 8053, 19, 33222, 14, 204, 264, 456, 499, 16121, 2180, 6063, 68, 8053, 19, 1949, 14, 204, 0, 777, 4290, 392, 2265, 916, 311, 24720, 322, 51, 3316, 13593, 204, 204, 673, 3239, 392, 2265, 916, 311, 24720, 322, 51, 3316, 14, 353, 275, 542, 302, 6396, 496, 1519, 311, 444, 12331, 311, 5068, 1051, 4916, 5726, 5889, 17, 1702, 448, 5741, 521, 16078, 19, 204, 204, 777, 37077, 777, 204, 204, 1449, 949, 275, 392, 3316, 17, 872, 1519, 311, 2379, 275, 24870, 21151, 38793, 322, 1801, 55, 789, 334, 392, 3316, 353, 275, 6276, 302, 275, 12531, 55, 31, 204, 204, 51, 3316, 289, 368, 20, 1801, 55, 204, 204, 11142, 12531, 55, 289, 346, 1053, 322, 13773, 7325, 12430, 14, 2317, 471, 1053, 322, 22267, 281, 7325, 12430, 14, 204, 204, 777, 5063, 777, 204, 204, 3719, 273, 5519, 16500, 275, 4190, 302, 273, 5726, 5889, 497, 2753, 10, 311, 2468, 12653, 275, 12531, 55, 353, 31, 204, 204, 1801, 55, 289, 346, 1053, 2317, 471, 1053, 289, 500, 19, 26, 2317, 500, 19, 24, 289, 500, 19, 23, 322, 1036, 15408, 204, 204, 4356, 17, 275, 392, 3316, 353, 31, 204, 204, 51, 3316, 289, 368, 20, 1801, 55, 289, 368, 20, 21, 19, 23, 289, 720, 204, 204, 1834, 3210, 496, 720, 6396, 1519, 311, 444, 12331, 311, 5068, 1051, 4916, 5726, 5889, 19, 204, 204, 777, 30784, 41954, 39381, 311, 392, 3316, 88, 777, 204, 204, 673, 2089, 348, 10657, 41954, 39381, 322, 1452, 88, 14, 311, 392, 3316, 88, 353, 31, 204, 204, 51, 3316, 289, 322, 22, 25863, 3771, 1053, 10970, 22, 18, 1452, 3694, 802, 5796, 22, 18, 3771, 1053, 20245, 3771, 1053, 20245, 22, 18, 1452, 602, 204, 204, 11142, 23119, 1053, 353, 275, 1643, 2233, 302, 275, 38678, 1627, 19, 204, 204, 777, 7131, 348, 22402, 41954, 39381, 311, 392, 3316, 88, 777, 204, 204, 38, 1435, 353, 1917, 311, 1814, 15226, 12134, 311, 392, 3316, 88, 348, 1792, 1643, 7028, 329, 15226, 12134, 19, 204, 204, 777, 5987, 18465, 344, 777, 204, 204, 673, 392, 3316, 353, 273, 7562, 3001, 302, 275, 19857, 302, 273, 5519, 19, 332, 3124, 392, 3316, 10335, 496, 275, 5519, 353, 1182, 6639, 17, 448, 14645, 6396, 1519, 311, 444, 12331, 311, 5068, 1051, 4916, 5726, 5889, 19, 0, 59, 10511, 4662, 24, 348, 329, 40200, 4238, 17, 275, 9354, 1673, 3747, 7568, 275, 11554, 21696, 3431, 34947, 430, 5102, 302, 10599, 17, 273, 6357, 496, 1784, 18198, 10889, 275, 11554, 329, 26404, 21139, 677, 13704, 1048, 8774, 496, 2906, 521, 11327, 4793, 329, 4050, 8836, 17, 2864, 22371, 19, 334, 6357, 322, 45, 19, 55, 19, 5254, 7298, 14, 1784, 4426, 12574, 302, 11342, 302, 15198, 329, 8620, 15447, 10885, 2614, 275, 548, 19, 56, 19, 521, 25875, 3117, 311, 275, 548, 19, 56, 19, 311, 4080, 22159, 440, 275, 548, 19, 56, 19, 11554, 329, 26404, 21139, 17, 311, 2761, 8213, 6718, 25049, 311, 275, 26375, 17, 329, 1784, 3397, 1475, 311, 1182, 11899, 17, 15042, 19323, 1027, 329, 4426, 6863, 7935, 311, 5068, 26163, 19, 334, 6357, 4658, 275, 26375, 3114, 2347, 311, 9735, 27407, 8836, 329, 311, 27951, 26824, 275, 15447, 496, 7758, 1475, 19, 322, 11594, 275, 6357, 1784, 444, 26549, 3531, 7285, 560, 6718, 329, 25078, 25049, 17, 490, 7987, 348, 4916, 378, 36103, 8061, 657, 17064, 630, 686, 23, 11002, 1048, 5544, 2181, 19, 1179, 204, 29037, 292, 275, 3747, 17, 275, 6357, 18665, 1168, 11548, 3697, 17, 1101, 273, 1350, 9148, 6900, 719, 440, 4916, 2886, 19, 334, 6357, 869, 6167, 275, 3117, 7561, 19, 334, 501, 19929, 40601, 17990, 12496, 17, 273, 3117, 7561, 1627, 17, 869, 3891, 685, 292, 2886, 302, 275, 20187, 17, 13815, 490, 15802, 301, 275, 1627, 884, 88, 3346, 8660, 1465, 3117, 8820, 19, 8624, 14724, 17, 5862, 17, 874, 46423, 275, 717, 5035, 19, 334, 20187, 1425, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 30678, 311, 15774, 275, 26375, 677, 7103, 311, 9034, 275, 5576, 302, 3507, 32609, 3117, 5187, 273, 12479, 6248, 292, 5411, 3117, 43416, 5187, 292, 275, 1643, 302, 437, 19806, 302, 3117, 18, 23813, 14759, 19, 26375, 15268, 270, 6834, 19, 39242, 332, 19, 552, 3095, 33437, 869, 3891, 685, 292, 2886, 302, 275, 6357, 19, 204, 12695, 896, 29253, 302, 275, 6357, 31, 204, 18, 26375, 19323, 1027, 302, 3117, 15447, 1784, 2931, 497, 448, 2296, 1667, 319, 448, 5602, 2589, 931, 2181, 311, 22159, 348, 2223, 18, 17229, 15447, 329, 630, 3406, 5602, 2589, 571, 2181, 348, 15447, 34131, 273, 3124, 4190, 19, 791, 18859, 334, 26375, 2549, 39009, 275, 9735, 302, 3507, 32609, 8836, 17, 5976, 302, 40420, 523, 3117, 31188, 311, 9561, 2696, 2241, 515, 9871, 19, 204, 18, 26375, 1784, 636, 13704, 311, 758, 11266, 348, 7399, 5627, 302, 3117, 523, 22371, 17, 448, 2590, 448, 4426, 3117, 22638, 311, 7116, 717, 2824, 8820, 11266, 19, 204, 18, 552, 14663, 1784, 7260, 717, 6309, 311, 444, 1376, 560, 3117, 41862, 17, 22638, 329, 6080, 1288, 311, 3822, 275, 5576, 302, 3117, 329, 1163, 6438, 1924, 275, 8459, 5649, 19, 0, 531, 1907, 19, 11761, 532, 2111, 17, 4123, 17, 636, 68, 1386, 68, 276, 68, 7793, 204, 531, 1907, 19, 4280, 19, 15516, 19, 1942, 532, 4426, 68, 4252, 204, 531, 10555, 19, 1618, 532, 5310, 204, 531, 2617, 9279, 532, 12613, 204, 531, 2617, 6041, 532, 12613, 4421, 6902, 2954, 204, 204, 461, 636, 68, 9279, 13, 1443, 31, 726, 14, 393, 12613, 31, 204, 264, 320, 204, 264, 4071, 275, 6099, 726, 348, 275, 800, 824, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 12613, 31, 334, 6099, 726, 3610, 440, 275, 824, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 6099, 726, 348, 275, 800, 824, 204, 264, 407, 12613, 13, 1443, 14, 204, 204, 461, 636, 68, 2572, 13, 2572, 68, 359, 31, 421, 14, 393, 5310, 31, 204, 264, 320, 204, 264, 4071, 275, 1351, 726, 348, 275, 800, 1351, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 3686, 19, 204, 204, 264, 475, 31, 204, 268, 5310, 31, 334, 1351, 726, 440, 275, 800, 1222, 19, 204, 264, 320, 204, 264, 314, 1974, 636, 68, 1386, 68, 276, 68, 7793, 311, 2906, 2910, 1273, 275, 1351, 1583, 508, 1337, 204, 264, 407, 636, 68, 1386, 68, 276, 68, 7793, 13, 6902, 17, 1276, 34, 2572, 68, 359, 14, 204, 204, 461, 2906, 68, 9279, 68, 654, 13, 1443, 31, 726, 17, 1351, 31, 5310, 17, 1395, 68, 7871, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 275, 6099, 798, 8244, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 322, 6902, 330, 334, 1351, 311, 881, 521, 1395, 292, 275, 6099, 19, 204, 268, 1395, 68, 7871, 322, 2107, 17, 1448, 330, 2266, 311, 1395, 275, 4474, 19, 1243, 311, 1078, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 798, 1014, 440, 275, 6379, 424, 204, 264, 798, 289, 12613, 4421, 6902, 2954, 13, 1443, 19, 4252, 14, 204, 264, 397, 798, 19, 360, 68, 1018, 1293, 204, 268, 314, 763, 275, 6099, 726, 348, 275, 824, 204, 268, 6099, 289, 636, 68, 9279, 13, 1443, 14, 204, 268, 314, 1255, 521, 1395, 275, 1351, 292, 275, 6099, 204, 268, 6099, 19, 826, 13, 2572, 34, 2572, 17, 4474, 34, 654, 19, 9788, 68, 481, 736, 7871, 2043, 1395, 68, 7871, 34, 2045, 68, 7871, 14, 204, 204, 37, 9947, 68, 4252, 204, 461, 6099, 68, 826, 13, 1443, 31, 726, 17, 1351, 68, 359, 31, 421, 14, 393, 4123, 31, 204, 264, 320, 204, 264, 5276, 273, 1351, 311, 275, 6099, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 881, 19, 204, 204, 264, 475, 31, 204, 268, 4123, 31, 332, 4123, 311, 275, 6099, 7058, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1351, 726, 204, 264, 1351, 289, 636, 68, 2572, 13, 2572, 68, 359, 14, 204, 264, 314, 1426, 275, 6099, 798, 8244, 204, 264, 2906, 68, 9279, 68, 654, 13, 1443, 17, 1351, 14, 204, 264, 314, 10693, 311, 275, 6099, 7058, 1472, 204, 264, 407, 4123, 611, 9279, 31, 9279, 68, 7682, 534, 204, 204, 461, 6099, 68, 3956, 13, 1443, 31, 726, 17, 1351, 68, 359, 31, 421, 14, 393, 4123, 31, 204, 264, 320, 204, 264, 8847, 273, 1351, 497, 275, 6099, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 3142, 19, 204, 204, 264, 475, 31, 204, 268, 4123, 31, 332, 4123, 311, 275, 6099, 7058, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1351, 726, 204, 264, 1351, 289, 636, 68, 2572, 13, 2572, 68, 359, 14, 204, 264, 314, 763, 275, 6099, 726, 348, 275, 824, 204, 264, 6099, 289, 636, 68, 9279, 13, 1443, 14, 204, 264, 314, 3182, 275, 1351, 497, 275, 6099, 204, 264, 6099, 19, 3956, 13, 2572, 14, 204, 264, 314, 10693, 311, 275, 6099, 7058, 1472, 204, 264, 407, 4123, 611, 9279, 31, 9279, 68, 7682, 534, 204, 204, 461, 6099, 68, 2045, 13, 1443, 31, 726, 17, 1351, 68, 359, 31, 421, 14, 393, 4123, 31, 204, 264, 320, 204, 264, 5307, 275, 4474, 302, 273, 1351, 292, 275, 6099, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 268, 1351, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1351, 311, 1395, 19, 204, 204, 264, 475, 31, 204, 268, 4123, 31, 332, 4123, 311, 275, 6099, 7058, 1472, 19, 204, 264, 320, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 314, 763, 275, 1351, 726, 204, 264, 1351, 289, 636, 68, 2572, 13, 2572, 68, 359, 14, 204, 264, 314, 1426, 275, 6099, 798, 8244, 440, 1395, 68, 7871, 34, 1021, 204, 264, 2906, 68, 9279, 68, 654, 13, 1443, 17, 1351, 17, 1395, 68, 7871, 34, 1021, 14, 204, 264, 314, 10693, 311, 275, 6099, 7058, 1472, 204, 264, 407, 4123, 611, 9279, 31, 9279, 68, 7682, 534, 204, 204, 461, 6099, 68, 7682, 13, 1443, 31, 726, 14, 393, 2111, 31, 204, 264, 320, 204, 264, 10616, 275, 6099, 7058, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 1386, 330, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 2111, 31, 332, 2111, 302, 275, 6099, 7058, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 6099, 726, 348, 275, 824, 204, 264, 6099, 289, 636, 68, 9279, 13, 1443, 14, 204, 264, 314, 666, 273, 717, 798, 1014, 348, 9683, 1351, 10999, 204, 264, 6099, 68, 2572, 68, 7871, 68, 654, 289, 12613, 4421, 6902, 2954, 374, 204, 264, 314, 4784, 275, 6099, 7058, 1472, 440, 275, 6099, 329, 798, 204, 264, 407, 2111, 13, 1443, 17, 379, 9279, 20, 7682, 19, 2079, 491, 2552, 9279, 597, 6099, 17, 379, 9279, 68, 2572, 68, 7871, 68, 654, 597, 6099, 68, 2572, 68, 7871, 68, 654, 1937, 204, 0, 97, 673, 25842, 7018, 353, 7196, 1283, 275, 43317, 298, 329, 45434, 429, 8609, 302, 275, 24186, 3624, 16973, 204, 5055, 1275, 911, 9503, 10438, 302, 275, 25842, 17, 1425, 3250, 15015, 911, 9503, 10438, 521, 22144, 578, 25842, 353, 273, 370, 18, 3485, 299, 2407, 292, 928, 1422, 353, 273, 17811, 302, 275, 7086, 32830, 322, 1947, 911, 9503, 2915, 14, 302, 275, 32539, 302, 275, 25842, 7018, 19, 204, 5055, 1275, 911, 9503, 10438, 5971, 13605, 2804, 1283, 2327, 329, 7496, 2181, 3299, 322, 780, 490, 869, 1742, 8316, 292, 273, 571, 18, 4994, 18, 929, 20650, 329, 292, 10299, 789, 1547, 353, 275, 1901, 2323, 3253, 302, 16615, 25842, 7150, 329, 1515, 324, 292, 808, 2523, 1627, 19, 5166, 1286, 529, 9647, 970, 311, 3420, 2666, 448, 3667, 448, 11488, 19, 334, 4710, 3253, 353, 7843, 19, 332, 5411, 25125, 9490, 322, 4425, 10597, 437, 3482, 21657, 19103, 9490, 14, 521, 273, 23987, 874, 1742, 1722, 6839, 448, 39235, 286, 1070, 3780, 17, 9504, 1605, 529, 8316, 1698, 292, 2468, 10, 329, 720, 10, 302, 2910, 17, 8866, 19, 204, 5055, 1275, 911, 9503, 10438, 353, 273, 13810, 302, 27956, 19, 334, 13810, 618, 444, 2927, 292, 275, 13713, 5465, 302, 7150, 521, 1515, 324, 292, 273, 6695, 1656, 1415, 353, 508, 8628, 794, 9439, 329, 869, 1236, 5411, 23987, 19, 3065, 353, 273, 9122, 933, 302, 5914, 302, 275, 25842, 7018, 19, 26039, 4394, 1741, 2248, 20094, 17811, 19, 1346, 37404, 8511, 302, 275, 25842, 7018, 618, 2248, 273, 10142, 3599, 322, 10804, 3659, 789, 24813, 353, 440, 1950, 18, 274, 17054, 281, 10167, 18, 33749, 11458, 329, 9122, 2308, 18, 34501, 19, 334, 2407, 5971, 14607, 1840, 560, 5398, 2614, 10810, 311, 7496, 3054, 17, 1101, 273, 2637, 1627, 302, 6396, 1120, 3524, 311, 874, 7112, 348, 4569, 8735, 19, 334, 21368, 2233, 353, 681, 4154, 2314, 12653, 1901, 302, 928, 353, 292, 275, 1043, 6699, 5869, 19, 204, 43851, 329, 9649, 204, 5055, 1275, 911, 9503, 10438, 8095, 7150, 292, 275, 25842, 17, 377, 1267, 17, 20941, 266, 521, 28240, 523, 275, 9647, 1653, 19, 3065, 1741, 444, 273, 1515, 324, 322, 276, 904, 17912, 12773, 17, 1702, 448, 26575, 17, 292, 24405, 14, 440, 521, 2900, 7150, 19, 592, 2637, 24405, 17, 275, 31438, 27364, 618, 444, 794, 43784, 279, 17883, 322, 1538, 1763, 17, 1330, 9793, 273, 17196, 558, 789, 334, 2407, 353, 10501, 4501, 9122, 311, 1051, 1653, 19, 334, 7150, 329, 1515, 324, 618, 933, 497, 20094, 311, 11312, 19, 204, 8390, 2804, 1741, 874, 273, 13844, 7514, 3312, 32, 2223, 18940, 329, 4303, 10443, 70, 594, 917, 311, 904, 17, 1182, 9233, 4042, 19, 4161, 12803, 17878, 17, 275, 1656, 8978, 12640, 275, 25842, 13844, 32829, 17, 12098, 685, 3998, 329, 5501, 497, 275, 4876, 1007, 322, 43835, 288, 17, 8348, 5657, 329, 995, 2750, 789, 25674, 329, 25800, 12773, 1741, 444, 9122, 2404, 302, 7150, 17, 6469, 995, 2750, 329, 7599, 5657, 19, 334, 25842, 618, 444, 28039, 311, 12997, 85, 344, 19, 334, 711, 5821, 683, 5628, 37819, 19213, 275, 5641, 3124, 31775, 292, 3998, 329, 685, 3998, 440, 275, 5771, 523, 1704, 1818, 17, 311, 1356, 1330, 12559, 18522, 299, 3459, 19, 334, 794, 29285, 25842, 329, 275, 43738, 17, 437, 80, 793, 17, 5301, 329, 28285, 529, 1193, 311, 444, 2519, 19, 204, 53, 1035, 292, 521, 3332, 275, 25842, 329, 20, 276, 1515, 324, 292, 2804, 618, 444, 3913, 311, 273, 3403, 542, 302, 4042, 19, 2135, 16998, 26775, 322, 70, 22663, 9490, 302, 275, 7018, 14, 353, 275, 1901, 3287, 9309, 13810, 17, 2404, 490, 618, 9295, 3253, 19782, 28717, 7034, 311, 275, 25842, 7018, 19, 472, 1826, 17, 7514, 32505, 14627, 523, 5043, 4394, 329, 11312, 7112, 322, 266, 3423, 311, 14848, 2308, 17, 32531, 12559, 18522, 299, 14, 830, 917, 311, 414, 16998, 26775, 17, 1101, 273, 2223, 1112, 302, 44005, 6786, 3600, 2219, 397, 1605, 529, 508, 3113, 19, 650, 7477, 18523, 404, 10438, 322, 35548, 302, 275, 12790, 12184, 14, 618, 1425, 3253, 7150, 329, 1515, 324, 19, 204, 39, 389, 41878, 17, 1702, 448, 273, 36317, 1375, 677, 38989, 322, 40378, 38989, 302, 275, 691, 266, 12790, 659, 618, 1425, 3253, 7150, 329, 1515, 324, 17, 1101, 529, 34298, 3332, 275, 25842, 7018, 19, 15323, 12184, 17737, 618, 444, 22795, 1330, 43071, 1439, 529, 3113, 19, 12073, 1478, 521, 33144, 5034, 17737, 618, 444, 41199, 1882, 12292, 6015, 4801, 338, 15370, 1826, 17, 490, 353, 3287, 508, 311, 15177, 273, 30315, 3296, 3482, 43317, 13232, 4892, 28992, 3127, 1330, 1422, 869, 1742, 273, 5573, 19, 332, 20851, 507, 16094, 360, 302, 275, 43317, 13232, 1526, 322, 5274, 5779, 18, 6094, 91, 5733, 18, 53, 864, 2734, 4614, 14, 8978, 3459, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 292, 2804, 21656, 681, 4154, 29, 17, 329, 353, 1425, 1182, 2323, 292, 12494, 19, 3065, 1741, 444, 437, 1839, 3659, 523, 37404, 17, 3557, 311, 40590, 911, 9503, 10438, 19, 204, 6950, 4067, 4132, 4042, 618, 1425, 3113, 440, 273, 1515, 324, 19, 828, 27526, 21901, 85, 1253, 1257, 302, 275, 25842, 353, 26277, 4744, 292, 3307, 17, 490, 618, 3891, 311, 6005, 5287, 292, 808, 2501, 19, 34632, 292, 275, 20941, 266, 618, 1425, 444, 8077, 560, 9745, 302, 275, 20691, 292, 275, 38767, 322, 17538, 448, 273, 284, 946, 402, 7041, 620, 14, 521, 560, 683, 8365, 4614, 19, 361, 879, 447, 17, 1422, 353, 437, 11750, 28381, 27989, 4042, 322, 18699, 32523, 296, 31954, 36434, 26775, 17, 17790, 293, 26775, 17, 38787, 84, 37141, 2837, 26775, 17, 44506, 521, 12790, 14085, 580, 19, 204, 2841, 529, 1236, 758, 11266, 348, 275, 13810, 302, 29065, 40590, 911, 9503, 10438, 17, 754, 275, 1690, 302, 32143, 1120, 2979, 523, 275, 1519, 311, 10371, 904, 17, 1182, 9233, 9745, 19, 592, 4896, 649, 5376, 2072, 292, 275, 5043, 1741, 444, 13844, 7514, 322, 46401, 2255, 226, 868, 427, 295, 2298, 356, 26951, 344, 2233, 17, 346, 18, 272, 4187, 8782, 329, 5624, 5043, 2092, 1040, 659, 1101, 7514, 32505, 14627, 529, 6556, 35327, 302, 904, 1182, 9233, 4042, 1702, 448, 414, 16998, 26775, 19, 204, 61, 18, 549, 23429, 302, 275, 25842, 353, 1901, 3667, 794, 272, 2472, 578, 19, 3685, 2273, 2485, 11209, 9649, 2255, 437, 36628, 31505, 841, 323, 4691, 1499, 16868, 17, 29227, 6533, 302, 275, 7018, 2817, 17, 22805, 11492, 302, 275, 43317, 13232, 4892, 43690, 890, 440, 3776, 12294, 299, 322, 60, 281, 7090, 325, 14620, 82, 1574, 659, 21253, 31761, 25648, 16868, 17, 24310, 983, 302, 5571, 12184, 16113, 3332, 275, 25842, 7018, 521, 11992, 355, 885, 5382, 10627, 302, 275, 13719, 1828, 43317, 298, 19, 334, 667, 5127, 348, 2485, 11209, 17878, 353, 311, 10371, 308, 7113, 36048, 1702, 448, 44222, 439, 41878, 17, 30315, 3296, 3482, 43317, 13232, 4892, 28992, 3127, 521, 12790, 14085, 2483, 322, 17538, 448, 27725, 3201, 27725, 25228, 789, 1346, 273, 1537, 84, 32503, 329, 31020, 22805, 322, 49, 2854, 278, 18457, 14, 2013, 302, 275, 24186, 3624, 329, 1855, 373, 4110, 353, 20284, 578, 19, 204, 2021, 37404, 8511, 302, 275, 25842, 618, 8235, 6548, 10142, 6204, 275, 7018, 32539, 17, 9504, 808, 353, 508, 4501, 3113, 292, 40590, 911, 9503, 10438, 19, 3355, 17, 490, 2950, 8317, 8280, 21757, 1283, 414, 16998, 26775, 329, 40590, 911, 9503, 10438, 19, 828, 414, 16998, 26775, 5252, 311, 444, 26372, 685, 17, 22002, 448, 42939, 302, 275, 10142, 618, 444, 8942, 1683, 37404, 19720, 19, 592, 40590, 911, 9503, 10438, 17, 275, 7018, 10142, 1120, 444, 4199, 19, 592, 414, 16998, 26775, 17, 1422, 1120, 444, 284, 354, 292, 275, 7018, 17, 928, 618, 444, 2312, 348, 22663, 8908, 329, 30618, 17192, 19, 204, 13936, 11772, 23429, 9021, 618, 444, 1376, 397, 275, 12803, 7157, 353, 29029, 32, 275, 4710, 4263, 302, 1792, 23429, 30515, 1291, 6786, 31756, 19, 5860, 6709, 874, 18275, 12074, 523, 9364, 33853, 23429, 322, 44475, 8511, 14, 496, 618, 22340, 1283, 414, 16998, 26775, 329, 40590, 911, 9503, 10438, 322, 1538, 1763, 17, 3683, 11527, 302, 7686, 12790, 44992, 789, 36201, 34399, 819, 339, 34546, 94, 618, 444, 15491, 2519, 292, 40590, 911, 9503, 10438, 17, 329, 819, 339, 34546, 323, 12074, 770, 508, 21757, 40590, 911, 9503, 10438, 497, 904, 7018, 4042, 292, 2804, 19, 22304, 27954, 1583, 508, 6743, 14359, 19, 204, 14462, 19842, 32471, 7593, 302, 13756, 1157, 578, 25842, 204, 97, 11424, 511, 22172, 3742, 3882, 11750, 8095, 97, 204, 97, 20798, 6373, 802, 32240, 3742, 3882, 11750, 8095, 97, 204, 97, 25480, 1155, 32774, 3742, 3882, 11750, 8095, 97, 204, 97, 15180, 811, 22169, 16159, 3742, 3882, 11750, 8095, 97, 204, 97, 17601, 392, 1518, 2767, 19112, 3742, 3882, 11750, 8095, 97, 204, 97, 10981, 43754, 3742, 3882, 11750, 8095, 97, 204, 97, 11690, 281, 3742, 3882, 11750, 8095, 97, 204, 97, 44, 19680, 319, 1841, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 13529, 3807, 3742, 3882, 11750, 8095, 97, 204, 97, 45, 547, 269, 32774, 3742, 3882, 11750, 8095, 97, 204, 97, 46, 269, 14564, 323, 3742, 3882, 11750, 8095, 97, 204, 97, 837, 4273, 1750, 17561, 3742, 3882, 11750, 8095, 97, 204, 97, 34618, 544, 865, 486, 34399, 802, 37382, 84, 3742, 3882, 11750, 8095, 97, 204, 97, 6950, 4067, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 51, 312, 21569, 802, 8964, 48037, 3742, 3882, 11750, 8095, 97, 204, 97, 5824, 395, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 52, 2957, 281, 703, 18367, 3742, 3882, 11750, 8095, 97, 204, 97, 11738, 29527, 802, 2416, 10359, 516, 3742, 3882, 11750, 8095, 97, 204, 97, 53, 2018, 366, 19149, 3742, 3882, 11750, 8095, 97, 204, 97, 53, 335, 31818, 3742, 3882, 11750, 8095, 97, 204, 97, 34842, 281, 802, 34994, 447, 356, 3742, 3882, 11750, 8095, 97, 204, 97, 55, 267, 328, 802, 20522, 4761, 802, 5610, 36520, 3742, 3882, 11750, 8095, 97, 204, 97, 6714, 17523, 3742, 3882, 11750, 8095, 97, 204, 97, 48487, 40010, 3742, 3882, 11750, 8095, 97, 204, 41426, 9995, 302, 3022, 17, 1950, 18, 3374, 34501, 329, 653, 1059, 713, 375, 1330, 4331, 19, 332, 2637, 3220, 11724, 496, 275, 1950, 18, 274, 17054, 281, 10167, 18, 33749, 9680, 28899, 398, 295, 34978, 2549, 43020, 275, 4614, 3200, 322, 531, 681, 19, 26, 311, 435, 3054, 14, 329, 1308, 7150, 3326, 440, 16034, 1653, 6126, 322, 660, 447, 41927, 44511, 789, 828, 18940, 3459, 521, 275, 7112, 26484, 17, 904, 3755, 43335, 1519, 311, 444, 6028, 19, 204, 837, 275, 5378, 17, 1422, 874, 1742, 25173, 657, 1465, 2237, 23005, 1877, 40590, 911, 9503, 10438, 19, 334, 790, 23623, 5862, 353, 496, 1422, 353, 1236, 8864, 302, 437, 6863, 4190, 302, 23005, 1877, 40590, 911, 9503, 10438, 19, 204, 5842, 1702, 12650, 29065, 857, 1196, 867, 401, 25614, 4255, 70, 17, 928, 353, 437, 1048, 20947, 302, 275, 43317, 13232, 1526, 329, 9055, 6533, 302, 275, 43317, 13232, 17138, 17, 24155, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]