nferruz/UR50_2021_04 · Datasets at Hugging Face

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

[ 16320, 544, 3558, 4133, 769, 271, 649, 20263, 9026, 590, 1460, 3106, 10949, 412, 14712, 567, 614, 295, 1843, 199, 2122, 4784, 315, 19326, 1834, 575, 20447, 720, 318, 673, 1936, 291, 968, 3357, 617, 355, 16375, 382, 992, 4757, 614, 199, 618, 277, 1895, 321, 8887, 3112, 38218, 415, 341, 599, 4680, 450, 2518, 1163, 426, 2888, 11374, 536, 576, 406, 1792, 299, 199, 676, 346, 757, 418, 888, 4033, 792, 389, 2573, 266, 434, 4722, 294, 1014, 39433, 612, 8340, 2908, 12533, 1969, 420, 199, 11594, 695, 441, 14332, 908, 8019, 6754, 545, 3850, 19031, 14804, 745, 358, 361, 8142, 31616, 6749, 908, 199, 44, 546, 573, 7223, 19075, 1562, 9297, 3261, 284, 830, 713, 479, 548, 284, 850, 782, 449, 860, 336, 1384, 11313, 330, 199, 2917, 412, 2468, 373, 7760, 5038, 1043, 6014, 322, 5502, 4121, 6085, 475, 24635, 349, 614, 44806, 660, 5301, 199, 20327, 291, 2617, 421, 3031, 447, 570, 38386, 3122, 33518, 2288, 350, 465, 527, 17319, 568, 11929, 21377, 568, 6577, 199, 372, 2053, 10481, 3796, 7529, 2279, 288, 3790, 23882, 21379, 813, 918, 733, 950, 1623, 2401, 278, 778, 485, 199, 340, 422, 4518, 388, 19018, 13158, 537, 1520, 1696, 933, 1212, 9222, 315, 497, 25785, 2817, 42077, 21309, 689, 199, 315, 955, 22468, 472, 405, 14281, 28355, 2132, 263, 895, 21129, 792, 830, 381, 584, 316, 1960, 267, 578, 2791, 33, 199, 44, 997, 7163, 746, 668, 319, 2710, 1694, 2468, 334, 4709, 5213, 317, 5298, 41180, 19083, 2161, 361, 8092, 933, 199, 813, 479, 3615, 858, 361, 551, 389, 4004, 1060, 456, 598, 398, 8101, 12096, 6602, 366, 590, 356, 349, 517, 501, 4248, 199, 289, 917, 299, 5964, 296, 4557, 16900, 6719, 31212, 440, 547, 13114, 641, 12789, 4261, 23486, 1160, 910, 1886, 199, 264, 680, 55, 2085, 33377, 777, 288, 3724, 629, 966, 988, 274, 1487, 3304, 402, 378, 1039, 442, 2267, 50, 940, 34951, 199, 462, 675, 579, 430, 421, 695, 371, 2352, 257, 532, 394, 734, 27920, 8689, 11742, 742, 438, 1782, 4336, 609, 1220, 199, 29183, 400, 10230, 282, 1387, 509, 9083, 407, 941, 265, 1092, 889, 416, 29709, 9619, 20494, 36486, 675, 415, 10631, 199, 1320, 409, 667, 498, 430, 480, 30158, 3085, 561, 645, 330, 524, 351, 1069, 1069, 5108, 1468, 264, 385, 10416, 768, 33, 199, 312, 2465, 329, 17960, 1070, 501, 316, 744, 259, 4094, 319, 11937, 294, 639, 312, 888, 39861, 3134, 31447, 15586, 199, 547, 671, 319, 1855, 199, 0, 199, 37673, 813, 23712, 702, 1360, 654, 16539, 463, 295, 1978, 21470, 1119, 45266, 470, 366, 493, 315, 400, 37643, 1026, 199, 315, 708, 1280, 7682, 918, 30887, 30028, 762, 10451, 2092, 470, 5619, 36855, 37646, 27104, 26773, 1552, 259, 199, 2475, 872, 755, 15566, 634, 341, 1586, 2026, 328, 558, 25187, 566, 5223, 342, 1260, 974, 15021, 5367, 405, 756, 389, 199, 13759, 401, 1900, 327, 1234, 1805, 1176, 1512, 742, 258, 1328, 22559, 352, 6986, 20203, 746, 858, 351, 7648, 7127, 49, 199, 2558, 774, 33931, 1818, 3401, 337, 503, 1780, 21341, 13451, 462, 4177, 18811, 3595, 23823 ]

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

[ 1337, 342, 20218, 199, 602, 1371, 348, 1304, 3154, 5517, 12623, 425, 9759, 420, 47773, 2531, 392, 709, 1255, 440, 278, 1542, 2388, 270, 14329, 199, 8620, 3866, 412, 5692, 19943, 1094, 5236, 1841, 11046, 13252, 6660, 262, 1766, 339, 4924, 15449, 1322, 1516, 48, 199, 37, 25938, 1832, 293, 12058, 765, 41708, 286, 2359, 329, 2527, 515, 374, 1459, 2603, 295, 818, 896, 564, 938, 11184, 279, 199, 480, 371, 451, 17814, 14192, 2313, 329, 785, 46, 1421, 5292, 6412, 1355, 333, 4419, 521, 1693, 2266, 335, 2678, 12264, 199, 51, 2858, 2762, 1387, 427, 1592, 1673, 629, 38599, 1514, 491, 437, 5822, 327, 8471, 1159, 318, 2454, 269, 1651, 4127, 537, 199, 9580, 1338, 6185, 31980, 625, 327, 589, 37646, 6079, 389, 8894, 27133, 712, 313, 2166, 33623, 15324, 407, 11938, 199, 1727, 575, 400, 2194, 2131, 437, 937, 7500, 345, 2016, 1387, 437, 41194, 443, 17527, 400, 2803, 17550, 1164, 1247, 645, 199, 377, 468, 10702, 3062, 1382, 458, 496, 1799, 325, 736, 392, 5708, 392, 35313, 2186, 3140, 762, 296, 27372, 8669, 629, 31511, 199, 395, 10025, 1865, 564, 999, 265, 875, 760, 26924, 382, 521, 4840, 2426, 3658, 2190, 343, 19051, 467, 1306, 36275, 2009, 199, 814, 1694, 9923, 315, 1899, 410, 327, 536, 433, 39909, 3016, 861, 369, 375, 4960, 2715, 1491, 350, 2204, 1491, 350, 2204, 199, 1491, 327, 2204, 323, 899, 678, 5663, 494, 12543, 2278, 15533, 374, 3840, 797, 23759, 32553, 1864, 301, 378, 564, 1061, 199, 17439, 2765, 5545, 25533, 2488, 837, 25999, 1817, 12507, 1279, 334, 10773, 3841, 2705, 21329, 709, 312, 613, 199, 20218, 862, 32345, 3996, 3791, 352, 1010, 4968, 959, 5340, 45200, 755, 599, 32870, 7773, 57, 2315, 443, 706, 199, 312, 662, 1180, 483, 27399, 524, 4344, 2644, 280, 1240, 942, 14077, 380, 918, 452, 399, 2388, 2666, 564, 564, 440, 14009, 199, 51, 1937, 261, 1773, 199, 0, 199, 10294, 39368, 315, 422, 30817, 351, 1687, 3235, 622, 17357, 18607, 3755, 345, 1151, 332, 1693, 10503, 1658, 1605, 38, 199, 13643, 6598, 3732, 317, 463, 389, 13952, 7266, 10481, 536, 1119, 361, 14598, 11999, 8555, 2163, 1640, 19335, 466, 199, 44, 537, 684, 270, 1385, 357, 5825, 1032, 35564, 668, 44904, 458, 580, 4928, 334, 8451, 44066, 1968, 49142, 199, 848, 340, 1696, 1236, 261, 1003, 2409, 16628, 22706, 1978, 744, 34251, 328, 2463, 17998, 464, 26127, 4156, 3300, 199, 9185, 285, 11682, 1173, 37064, 6331, 16179, 335, 2530, 27287, 18849, 17767, 1293, 1512, 1394, 357, 447, 1261, 50, 199, 3553, 17763, 401, 12887, 3024, 1157, 13665, 1279, 717, 984, 288, 4839, 1727, 556, 5430, 277, 8786, 10850, 50, 199, 27178, 433, 12585, 989, 3248, 4753, 294, 7366, 396, 348, 1573, 326, 497, 3001, 332, 900, 374, 1520, 600, 7822, 570, 199, 32432, 646, 363, 1550, 508, 5113, 1713, 2697, 10910, 590, 299, 1520, 288, 1000, 12996, 421, 16062, 1804, 566, 282, 2570, 199, 2466, 1001, 43419, 4262, 2130, 270, 17405, 529, 9503, 874, 1160, 848, 9642, 896, 12416, 2507, 11968, 616, 46, 199, 279, 2255, 438, 1019, 754, 588, 378, 549, 7022, 2874, 2489, 8437 ]

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

[ 990, 1405, 13083, 16436, 518, 1573, 513, 26846, 199, 1872, 295, 716, 20696, 42174, 946, 7877, 493, 322, 623, 41714, 6989, 314, 27488, 482, 1341, 583, 23712, 1713, 13287, 199, 634, 690, 314, 10595, 371, 9505, 1523, 4707, 5689, 366, 8126, 14996, 23387, 322, 3802, 637, 34726, 937, 335, 199, 44, 2855, 1166, 1474, 4496, 374, 11285, 7096, 480, 523, 391, 366, 376, 8450, 397, 1870, 492, 343, 1334, 37225, 43004, 199, 260, 612, 6128, 860, 2895, 9599, 286, 3682, 949, 1509, 806, 715, 7443, 481, 6564, 898, 25784, 1184, 14552, 199, 29764, 369, 1630, 2123, 279, 9329, 356, 28650, 2922, 7898, 3209, 819, 266, 669, 1491, 300, 4043, 384, 4793, 24087, 199, 269, 2475, 430, 857, 1811, 16644, 407, 18306, 2495, 2106, 3433, 793, 687, 356, 1083, 1233, 540, 924, 22526, 2094, 199, 1235, 11511, 318, 532, 3805, 1358, 1226, 1678, 14540, 1273, 7977, 838, 19230, 601, 2731, 346, 455, 2586, 10478, 601, 411, 199, 609, 377, 10160, 392, 442, 7159, 5903, 17200, 381, 5248, 5869, 1016, 486, 14660, 6511, 637, 291, 4054, 1048, 199, 260, 1058, 594, 7520, 39507, 460, 714, 260, 5111, 1045, 4585, 377, 6096, 552, 323, 4388, 12090, 199, 0, 199, 1129, 317, 1592, 276, 866, 471, 382, 1497, 22456, 1081, 850, 360, 608, 3448, 603, 40, 618, 1255, 26133, 335, 18443, 922, 199, 8316, 11578, 44341, 1987, 6659, 23214, 590, 1707, 5770, 2933, 10828, 335, 11101, 1321, 351, 14390, 8458, 17189, 199, 313, 2018, 317, 6261, 5253, 481, 1645, 318, 3006, 1391, 7874, 313, 2034, 506, 578, 15537, 400, 460, 578, 4236, 1261, 36, 199, 22839, 46100, 413, 34340, 1635, 373, 2751, 326, 4752, 957, 348, 4450, 1605, 3399, 4838, 983, 495, 1633, 25121, 442, 199, 36618, 9390, 399, 1793, 2454, 2056, 48456, 2013, 438, 16521, 590, 417, 612, 358, 2890, 1826, 1739, 665, 319, 1011, 953, 48, 199, 41509, 377, 8084, 1639, 390, 5125, 8381, 614, 3449, 331, 3485, 760, 1148, 23562, 4579, 10476, 8255, 23205, 818, 199, 1213, 8763, 3744, 860, 4461, 670, 19363, 7690, 37062, 1165, 1649, 496, 3985, 7955, 18221, 378, 1263, 1886, 299, 199, 44, 673, 418, 14216, 501, 3841, 35, 1703, 353, 3462, 511, 583, 435, 982, 3076, 260, 1393, 4217, 298, 656, 2565, 281, 1201, 199, 461, 1890, 429, 2355, 7432, 851, 602, 397, 592, 267, 4943, 292, 540, 1017, 10030, 355, 5190, 270, 935, 5616, 9182, 199, 640, 4945, 32577, 1347, 503, 5439, 1394, 714, 340, 6921, 394, 14981, 746, 9556, 615, 9059, 335, 1814, 446, 39633, 199, 29016, 9167, 492, 711, 44211, 951, 320, 546, 39907, 36887, 435, 13024, 414, 1851, 36513, 484, 5748, 5269, 369, 519, 199, 13810, 1671, 469, 2290, 291, 923, 5605, 315, 1720, 40, 1144, 1632, 12383, 2518, 422, 337, 22753, 9574, 1610, 9673, 280, 199, 10907, 325, 375, 615, 4852, 284, 1233, 11142, 355, 365, 845, 2039, 266, 1033, 4532, 543, 2787, 3084, 1014, 9040, 791, 199, 1058, 2675, 379, 697, 287, 566, 7382, 834, 493, 740, 579, 413, 1671, 488, 29133, 1312, 38753, 2169, 1074, 9099, 544, 199, 365, 642, 276, 20250, 3082, 4584, 562, 2626, 1496, 9538, 1694, 422, 2650 ]

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

[ 758, 525, 371, 631, 3863, 669, 6980, 199, 587, 6400, 358, 3501, 904, 488, 3722, 314, 15217, 3056, 2553, 6435, 979, 695, 9526, 781, 44601, 1189, 45, 199, 992, 385, 617, 4592, 422, 489, 14547, 1001, 645, 12654, 25965, 597, 555, 1486, 265, 623, 1074, 338, 7401, 278, 17748, 199, 28170, 1195, 321, 1456, 1295, 39728, 1022, 3363, 325, 1974, 37351, 1412, 558, 11076, 473, 13504, 921, 596, 1077, 277, 199, 323, 445, 3318, 632, 427, 1636, 42462, 357, 2753, 21117, 2449, 1304, 723, 989, 1693, 1526, 14732, 463, 35008, 332, 199, 446, 10701, 867, 199, 0, 199, 2088, 296, 16056, 1020, 664, 351, 23210, 467, 3533, 26026, 1763, 3309, 12722, 537, 342, 1851, 1118, 6014, 2206, 199, 617, 1031, 521, 509, 15828, 29892, 924, 595, 19350, 1032, 50194, 326, 1505, 369, 1223, 12872, 3446, 732, 292, 33437, 199, 13161, 3930, 1224, 30830, 1024, 298, 517, 10694, 816, 360, 47175, 2752, 1542, 2744, 269, 648, 1775, 21316, 419, 599, 199, 326, 831, 355, 1316, 35249, 412, 550, 1928, 23592, 2848, 386, 19355, 1036, 996, 44673, 391, 31813, 610, 2327, 435, 52, 199, 14334, 8496, 292, 14613, 1033, 4516, 547, 721, 2320, 2951, 18060, 11948, 1279, 3070, 453, 407, 3975, 25023, 3818, 325, 199, 3399, 2091, 1596, 839, 10117, 280, 8633, 1029, 263, 1537, 9167, 877, 479, 354, 1095, 22266, 432, 533, 288, 512, 420, 595, 199, 318, 503, 292, 867, 10029, 10402, 552, 5370, 29369, 18297, 661, 267, 25238, 1550, 644, 285, 795, 319, 1424, 351, 2508, 199, 29653, 41433, 36169, 2642, 369, 436, 7579, 993, 284, 3883, 910, 43140, 578, 430, 854, 15751, 732, 532, 455, 6338, 199, 483, 354, 2761, 7358, 410, 298, 786, 368, 2581, 428, 2242, 1567, 798, 477, 19422, 1832, 294, 1057, 5571, 12553, 2220, 41, 199, 597, 476, 42397, 37048, 887, 41978, 315, 1506, 35710, 493, 5502, 725, 544, 18747, 947, 7726, 2374, 1397, 17747, 199, 606, 3173, 1629, 1249, 260, 2379, 8983, 1292, 292, 543, 1577, 378, 435, 14909, 1847, 294, 4463, 49704, 25197, 2765, 199, 271, 576, 1336, 2827, 1278, 19922, 2417, 8968, 557, 36672, 334, 419, 6550, 2662, 543, 2247, 317, 684, 673, 48, 199, 39, 8415, 17837, 912, 335, 1584, 24410, 286, 4815, 4901, 1175, 1464, 325, 1962, 2182, 4954, 17673, 368, 558, 30186, 199, 49293, 3702, 602, 375, 792, 16508, 2620, 4831, 275, 955, 652, 1483, 984, 283, 1036, 299, 3533, 317, 10155, 2546, 199, 51, 646, 321, 2763, 389, 413, 1592, 646, 364, 16160, 4760, 1072, 530, 13099, 452, 9030, 9839, 1033, 414, 1288, 288, 199, 348, 2393, 412, 2962, 1457, 499, 455, 4279, 996, 1600, 368, 558, 351, 487, 10696, 1237, 277, 1903, 668, 35675, 504, 43, 199, 267, 2953, 333, 844, 546, 12644, 1936, 11530, 367, 604, 341, 55, 760, 32192, 16995, 282, 2043, 18090, 5311, 45356, 199, 23165, 734, 5518, 550, 572, 6945, 2099, 1495, 271, 1364, 337, 1542, 48, 2086, 42356, 4327, 547, 1748, 285, 758, 470, 199, 44, 3132, 373, 1379, 1450, 377, 615, 258, 3492, 334, 829, 396, 648, 10156, 891, 452, 590, 18935, 7340, 3350, 400, 7279, 199, 280, 1244, 11766, 199, 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 ]

[ 3340, 719, 1549, 2165, 1764, 280, 4176, 567, 443, 1122, 347, 1361, 316, 539, 7492, 5739, 3038, 966, 361, 5280, 741, 199, 24352, 258, 2101, 11812, 402, 477, 1338, 278, 4181, 44409, 462, 11390, 1033, 553, 2936, 1493, 3935, 3823, 16820, 57, 199, 29465, 294, 1632, 372, 496, 19762, 486, 37910, 12657, 9841, 4884, 14218, 1987, 617, 712, 288, 931, 4442, 568, 463, 199, 2399, 2358, 3216, 268, 871, 425, 1414, 276, 29158, 355, 602, 262, 8868, 1093, 482, 16057, 1911, 2075, 38720, 401, 998, 199, 1698, 23442, 472, 274, 912, 822, 2131, 433, 6601, 645, 360, 1442, 462, 43417, 891, 2187, 351, 17727, 13202, 1032, 199, 26880, 3857, 878, 2167, 7140, 1061, 260, 583, 38242, 1531, 292, 10549, 1904, 14393, 1518, 363, 6098, 20629, 7260, 199, 44, 2784, 533, 15137, 7265, 7845, 1079, 25876, 947, 319, 9226, 270, 1715, 38275, 4966, 17199, 277, 7620, 337, 6679, 54, 199, 4475, 5238, 537, 272, 560, 480, 2120, 2284, 319, 25354, 1316, 39060, 44888, 1009, 798, 676, 372, 484, 6477, 476, 199, 51, 669, 15825, 25786, 364, 10080, 37152, 570, 377, 523, 290, 1078, 6518, 1090, 816, 370, 2191, 3416, 387, 6697, 33, 199, 16977, 2238, 753, 628, 283, 2606, 265, 644, 376, 526, 299, 1067, 942, 602, 12594, 36486, 2178, 273, 1142, 42344, 2069, 33, 199, 37, 5213, 448, 1980, 41159, 12490, 3335, 589, 334, 1370, 291, 3852, 1212, 30812, 960, 280, 485, 1237, 13143, 1593, 41, 199, 37, 16852, 2688, 367, 2872, 448, 3559, 952, 744, 312, 489, 1435, 16497, 264, 2371, 32865, 20286, 30341, 315, 432, 199, 47541, 8225, 4955, 1699, 391, 1145, 974, 367, 13791, 3219, 730, 22904, 18964, 905, 30837, 28136, 50092, 199, 742, 8943, 412, 199, 0, 199, 339, 986, 369, 4162, 1150, 12281, 364, 499, 4169, 298, 1625, 343, 16313, 1010, 2750, 423, 15866, 7032, 393, 1781, 19390, 199, 4533, 7442, 42094, 293, 370, 1262, 325, 637, 57, 4476, 621, 266, 1420, 402, 2191, 3200, 505, 2596, 469, 8574, 719, 199, 1150, 680, 268, 14970, 1550, 784, 23502, 9411, 895, 354, 4791, 333, 1168, 5591, 792, 15092, 22880, 41846, 476, 199, 20561, 1583, 14499, 7651, 1903, 2335, 350, 868, 433, 2090, 50152, 275, 1077, 367, 385, 48955, 4806, 494, 3994, 459, 199, 45798, 1081, 1797, 1869, 38402, 1142, 13851, 447, 3523, 38561, 406, 697, 1325, 1735, 2409, 777, 951, 48481, 8978, 199, 275, 1531, 314, 3868, 800, 373, 656, 777, 314, 16181, 352, 21684, 18668, 1261, 37279, 4512, 4363, 14371, 517, 347, 199, 37, 1127, 4234, 330, 987, 456, 557, 1043, 2027, 668, 512, 375, 31307, 554, 2049, 377, 27239, 2689, 1391, 411, 2103, 1796, 199, 464, 33372, 629, 15645, 296, 484, 23824, 413, 555, 1868, 429, 18254, 3769, 290, 1270, 29178, 942, 1168, 687, 362, 589, 199, 558, 14434, 1030, 257, 1198, 765, 1391, 3570, 594, 12657, 362, 42148, 1633, 356, 894, 47654, 2793, 811, 13006, 199, 19575, 655, 489, 1216, 48207, 3915, 12318, 2265, 15769, 1358, 45914, 2262, 393, 633, 295, 506, 3575, 567, 383, 566, 314, 199, 3164, 10622, 366, 433, 19351, 620, 264, 2045, 34748, 332, 13067, 446, 436, 3050, 314, 2059, 27743 ]

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

[ 1854, 1283, 5346, 199, 42503, 25449, 5468, 45977, 3334, 38976, 1038, 1618, 14414, 5016, 1762, 5387, 333, 2021, 46, 1237, 786, 393, 47186, 199, 51, 6463, 1035, 3360, 10302, 21538, 1209, 44810, 28459, 276, 429, 6739, 313, 419, 530, 672, 528, 693, 277, 15597, 199, 30253, 367, 455, 1461, 400, 990, 3089, 7104, 18582, 422, 11369, 9678, 994, 448, 698, 1321, 362, 761, 357, 615, 586, 199, 433, 1448, 2297, 3271, 3563, 1420, 39144, 516, 5225, 1120, 438, 1187, 5729, 45, 2271, 6326, 987, 560, 418, 395, 21921, 199, 2394, 2230, 45001, 2619, 9094, 27994, 412, 3315, 2466, 444, 3644, 2633, 393, 454, 1075, 815, 15325, 1230, 20473, 43, 199, 557, 6079, 13490, 1458, 3776, 8647, 695, 536, 443, 7168, 1146, 45583, 4337, 1458, 1051, 48319, 1584, 2925, 199, 1196, 335, 1370, 336, 42542, 4032, 832, 39255, 17211, 2074, 358, 7862, 837, 880, 555, 3347, 568, 282, 1968, 533, 410, 199, 666, 386, 1285, 531, 360, 32933, 1287, 29022, 47158, 632, 29576, 1077, 408, 897, 398, 1067, 4020, 199, 0, 199, 1416, 34809, 2592, 519, 908, 14920, 336, 797, 626, 2303, 540, 415, 7310, 555, 11395, 1367, 300, 1307, 323, 5104, 369, 1855, 199, 984, 267, 29058, 4095, 546, 1632, 464, 2758, 301, 21834, 751, 22974, 25272, 1754, 347, 588, 27345, 281, 676, 508, 3066, 199, 469, 736, 338, 1356, 358, 8900, 34622, 2240, 805, 15997, 617, 48715, 417, 12349, 14095, 1278, 358, 570, 458, 34306, 322, 199, 13814, 4421, 319, 2359, 345, 4000, 11599, 2133, 12933, 7860, 10118, 492, 648, 368, 948, 12963, 8224, 26358, 394, 199, 3165, 4077, 552, 16965, 1545, 49626, 355, 12988, 1711, 354, 3453, 2985, 1468, 564, 1342, 269, 1169, 5542, 1027, 6650, 199, 398, 2886, 430, 507, 43897, 1527, 3543, 640, 406, 2728, 490, 16840, 3475, 300, 610, 342, 1189, 378, 37876, 37969, 6377, 199, 22434, 7157, 3844, 3546, 621, 624, 25043, 332, 6806, 677, 14575, 1428, 3462, 11198, 15572, 16015, 511, 2094, 199, 8538, 1710, 7557, 3511, 11987, 269, 2847, 758, 5068, 376, 549, 2430, 21130, 735, 317, 541, 391, 361, 692, 381, 753, 33, 199, 1114, 8780, 768, 1909, 779, 389, 883, 14442, 1662, 432, 5796, 1433, 270, 1099, 24802, 30733, 18490, 1459, 508, 49, 199, 1451, 345, 23794, 317, 2836, 7167, 657, 294, 996, 3053, 28071, 2694, 394, 1344, 426, 1841, 443, 2090, 10457, 361, 371, 35, 199, 22193, 970, 5472, 372, 840, 334, 820, 403, 27620, 815, 278, 1627, 11522, 437, 758, 297, 2757, 4927, 3837, 362, 199, 527, 503, 26231, 955, 413, 8451, 1019, 509, 331, 1768, 1004, 47167, 5992, 318, 612, 300, 1651, 431, 788, 975, 2533, 40, 199, 382, 723, 279, 592, 457, 708, 532, 15307, 431, 1564, 2969, 426, 38522, 1136, 1030, 297, 566, 6547, 580, 16836, 2066, 52, 199, 1329, 367, 2216, 3853, 44925, 4305, 10379, 634, 2118, 371, 3358, 4285, 970, 459, 1161, 280, 2609, 603, 406, 3215, 199, 538, 369, 2108, 7466, 1113, 279, 714, 1204, 11079, 3774, 336, 15173, 6613, 1652, 2989, 1018, 25586, 1425, 295, 1735, 199, 27694, 5446, 28436, 23926, 805, 342, 656, 13345, 13092, 47752, 7262, 16017, 1231, 997, 487, 45665 ]

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

[ 5087, 55, 199, 693, 284, 753, 900, 481, 880, 55, 1213, 362, 1535, 277, 990, 551, 35094, 14100, 5147, 579, 1759, 26387, 2322, 608, 54, 199, 16427, 1791, 828, 257, 8087, 1184, 14674, 2359, 655, 12647, 383, 1659, 319, 34203, 886, 6266, 31728, 871, 3602, 199, 414, 26252, 32456, 1491, 283, 884, 361, 2736, 261, 1087, 977, 10871, 257, 2763, 11816, 768, 4991, 357, 2346, 9235, 199, 40196, 2657, 2096, 199, 0, 199, 569, 13743, 599, 334, 616, 2026, 20471, 315, 691, 398, 319, 995, 6097, 1805, 45592, 3905, 411, 6968, 562, 384, 403, 372, 199, 14359, 1024, 289, 1905, 258, 883, 11027, 1292, 44492, 879, 486, 8155, 655, 15084, 904, 12914, 508, 4206, 616, 54, 199, 258, 793, 1334, 372, 588, 1172, 14779, 550, 44954, 388, 354, 1334, 596, 270, 2699, 10402, 2754, 274, 5052, 301, 1307, 199, 51, 9546, 590, 370, 47793, 16741, 1058, 875, 28585, 2740, 10276, 321, 1029, 15687, 1026, 466, 3263, 295, 1558, 4103, 199, 6947, 2319, 3045, 380, 19307, 415, 398, 603, 24154, 2315, 16227, 404, 851, 385, 421, 556, 315, 994, 483, 660, 294, 642, 199, 39, 1471, 17702, 537, 1578, 838, 481, 373, 494, 280, 24952, 1025, 25419, 2592, 603, 329, 668, 856, 419, 1546, 1421, 1567, 199, 464, 4621, 415, 902, 2004, 275, 2347, 313, 873, 495, 7538, 392, 10753, 813, 6695, 2625, 266, 2361, 257, 1005, 3474, 199, 1272, 9168, 350, 1087, 4328, 29977, 1201, 367, 913, 431, 901, 2558, 278, 1187, 3992, 20498, 2337, 272, 2191, 902, 48, 199, 423, 10122, 1478, 871, 2794, 313, 13776, 1028, 495, 2408, 6380, 442, 486, 441, 782, 1413, 1399, 296, 29524, 773, 199, 32377, 517, 1842, 469, 3244, 35444, 496, 1394, 377, 6791, 552, 352, 462, 520, 2428, 34733, 16672, 6211, 565, 279, 1017, 199, 260, 808, 291, 755, 2067, 389, 2003, 333, 1030, 15868, 10247, 284, 7880, 964, 586, 3101, 1425, 1470, 295, 11192, 2604, 199, 668, 1480, 471, 4717, 289, 2953, 405, 2828, 1207, 9437, 23798, 1616, 1145, 1221, 263, 1121, 30456, 350, 4806, 409, 199, 7324, 325, 442, 24155, 39892, 678, 442, 46, 15608, 1626, 3128, 293, 524, 350, 551, 570, 314, 2640, 1659, 2280, 1204, 199, 286, 1236, 1172, 695, 263, 1076, 325, 689, 3403, 370, 372, 7128, 1541, 405, 466, 367, 855, 29198, 278, 609, 290, 3127, 35, 199, 45006, 11416, 703, 1017, 273, 1521, 13351, 331, 621, 342, 604, 4147, 1277, 1153, 268, 1043, 495, 355, 15036, 16827, 1062, 199, 650, 22568, 7570, 55, 947, 23948, 898, 48274, 1628, 45028, 387, 1007, 344, 2480, 299, 1331, 421, 458, 11175, 41787, 199, 636, 18206, 1312, 1383, 10792, 988, 263, 1651, 26668, 7741, 18808, 9283, 320, 2981, 2657, 11466, 39859, 21530, 199, 663, 14659, 272, 473, 574, 318, 1168, 1836, 289, 4258, 10803, 6733, 354, 2644, 359, 1236, 490, 10501, 5958, 343, 3066, 199, 933, 17365, 450, 319, 3615, 13519, 492, 38251, 44327, 4489, 390, 2912, 549, 5502, 613, 6990, 335, 1223, 765, 14121, 199, 8886, 2336, 922, 199, 0, 199, 1145, 296, 3072, 623, 38251, 583, 17799, 380, 7686, 642, 643, 1159, 301, 1048, 384, 636, 285, 702, 258 ]

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

[ 1160, 6602, 52, 199, 51, 808, 342, 625, 8929, 573, 314, 4289, 19964, 436, 504, 380, 1045, 351, 9882, 1127, 35474, 31313, 1544, 772, 362, 199, 336, 33194, 695, 4108, 1582, 36959, 365, 825, 511, 403, 4707, 491, 1215, 4338, 398, 40, 2315, 5043, 503, 295, 694, 38, 199, 44, 712, 20522, 1867, 418, 328, 1221, 343, 704, 295, 33565, 1109, 378, 407, 1240, 505, 2538, 578, 15758, 709, 2855, 1202, 199, 270, 7178, 534, 4157, 339, 11716, 817, 683, 2874, 14458, 40, 870, 667, 9180, 796, 825, 267, 543, 511, 16639, 199, 403, 55, 1947, 25472, 526, 23390, 592, 313, 3084, 3679, 755, 465, 2229, 331, 755, 1131, 1289, 924, 4243, 25887, 1520, 199, 336, 3028, 1970, 279, 21963, 2224, 7997, 593, 28028, 290, 2043, 270, 468, 8913, 397, 1450, 1160, 3020, 18295, 1280, 199, 280, 2016, 1141, 645, 939, 39393, 329, 28150, 1473, 1395, 1060, 275, 2197, 403, 3174, 1274, 667, 3754, 1487, 429, 199, 1608, 271, 6756, 425, 2015, 910, 426, 3260, 18890, 2443, 556, 2581, 493, 30550, 779, 413, 486, 1452, 16155, 884, 199, 18741, 317, 1278, 417, 1763, 17626, 1538, 38500, 377, 502, 573, 36375, 398, 29892, 27133, 26509, 46064, 2432, 14860, 199, 8087, 2665, 337, 45, 2448, 498, 2873, 6143, 3084, 2071, 405, 1401, 295, 1733, 5587, 375, 12950, 18880, 509, 2601, 50, 199, 378, 1034, 16298, 32230, 2741, 3553, 7942, 727, 18087, 1970, 280, 840, 17875, 1252, 11534, 1114, 39984, 829, 199, 855, 792, 13336, 2223, 3351, 454, 2096, 325, 2625, 2089, 1215, 264, 1439, 1171, 3102, 554, 318, 5276, 32770, 2866, 330, 199, 1152, 385, 47721, 1951, 7796, 889, 9401, 1723, 2605, 1478, 22387, 16189, 1631, 383, 628, 263, 855, 421, 666, 699, 41, 199, 35, 1259, 864, 39266, 2558, 2207, 351, 995, 4930, 1042, 6379, 360, 18103, 322, 416, 446, 639, 313, 9644, 1243, 3432, 475, 199, 379, 280, 14258, 289, 3543, 589, 4095, 333, 1064, 365, 1438, 4935, 675, 19561, 594, 15462, 422, 9700, 496, 568, 6178, 199, 51, 14659, 354, 15925, 468, 2872, 525, 833, 1937, 349, 354, 2124, 21646, 1581, 813, 17098, 4495, 32205, 686, 9667, 199, 12116, 18951, 769, 21864, 1779, 408, 2853, 452, 14004, 411, 10653, 31242, 2025, 8306, 906, 12443, 554, 295, 1001, 199, 24811, 392, 1785, 258, 913, 446, 40425, 10523, 47005, 706, 37619, 3565, 295, 468, 562, 648, 345, 506, 714, 696, 25823, 199, 4622, 1139, 351, 199, 0, 199, 2180, 455, 583, 1524, 755, 1313, 21483, 452, 378, 2041, 2165, 2288, 33442, 2719, 1883, 1954, 7269, 402, 13929, 2601, 199, 591, 361, 1823, 2927, 598, 37163, 991, 483, 343, 1211, 12053, 29504, 1708, 18756, 10166, 1606, 324, 6135, 333, 1822, 199, 641, 340, 22984, 1397, 461, 1847, 386, 4266, 1029, 272, 5364, 1993, 606, 1101, 9560, 4084, 46174, 1073, 19066, 4440, 199, 24747, 534, 14721, 18811, 1011, 469, 5288, 13842, 1510, 318, 48247, 1693, 9031, 1150, 1942, 6500, 265, 1493, 3097, 199, 10064, 539, 701, 315, 2121, 763, 35, 2566, 10989, 591, 436, 2485, 455, 418, 15085, 14938, 1226, 1793, 272, 1011, 515, 11105, 199, 6175, 420, 24779, 281, 6369, 427, 3571, 30858, 749 ]

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

[ 40603, 548, 532, 380, 433, 559, 2268, 13371, 4247, 3620, 380, 199, 39, 893, 293, 356, 4836, 1137, 4212, 2078, 985, 440, 366, 10702, 7148, 2891, 270, 3322, 345, 10045, 279, 11845, 31784, 199, 278, 1664, 502, 2367, 10371, 11287, 29913, 1354, 1018, 293, 485, 285, 12863, 410, 34256, 7673, 42547, 2320, 1299, 418, 199, 20518, 1318, 368, 14883, 1615, 414, 2008, 566, 451, 1115, 39574, 956, 993, 4864, 1219, 434, 557, 25842, 323, 1242, 52, 199, 51, 1579, 327, 885, 364, 28674, 537, 10463, 740, 6202, 348, 1996, 766, 1265, 343, 38295, 1176, 1817, 48, 1127, 14110, 199, 23009, 363, 6159, 1132, 1062, 881, 350, 434, 2383, 1368, 287, 1013, 589, 935, 3971, 340, 1097, 2104, 2126, 265, 3507, 46, 199, 1648, 404, 17952, 41459, 876, 568, 1009, 409, 557, 3380, 2298, 374, 509, 779, 12739, 2516, 338, 2888, 442, 492, 25185, 55, 199, 37, 6318, 572, 11218, 554, 27962, 2424, 4039, 1493, 2720, 424, 2774, 405, 9080, 398, 599, 13741, 469, 1147, 41551, 199, 375, 3422, 374, 1873, 1407, 2556, 506, 16631, 454, 9911, 930, 341, 397, 21163, 665, 412, 2762, 1047, 3668, 1470, 330, 516, 199, 2419, 931, 452, 1842, 6400, 11289, 3126, 558, 46896, 966, 392, 18362, 16893, 359, 3395, 1271, 859, 3592, 1723, 199, 445, 585, 43550, 13983, 576, 36753, 629, 371, 802, 5669, 287, 445, 4269, 471, 29413, 317, 1445, 1733, 507, 1213, 27153, 199, 1638, 779, 3242, 279, 11075, 685, 474, 1002, 11085, 585, 42303, 36245, 39094, 22013, 785, 327, 667, 2396, 1401, 199, 43078, 199, 0, 199, 375, 17538, 1630, 832, 7408, 2311, 758, 381, 1382, 42572, 1033, 2487, 1253, 446, 2989, 1915, 287, 745, 40442, 427, 465, 199, 266, 16108, 1338, 8829, 288, 1250, 1581, 6227, 16333, 334, 1427, 6056, 2481, 438, 23968, 406, 1442, 508, 381, 1832, 1898, 199, 44, 16639, 478, 9779, 1916, 1684, 1812, 365, 1899, 41239, 1916, 1110, 495, 16400, 740, 803, 485, 1458, 5527, 2953, 33, 199, 17030, 970, 25338, 16272, 617, 282, 1626, 336, 2515, 414, 26011, 372, 17727, 18488, 343, 899, 798, 290, 812, 25776, 199, 294, 873, 36, 2310, 293, 5545, 49737, 1059, 518, 788, 9451, 1838, 406, 423, 375, 8188, 20365, 858, 43246, 926, 480, 199, 660, 23515, 1401, 23392, 1982, 578, 320, 3709, 283, 2435, 1525, 412, 898, 299, 632, 14769, 1084, 4746, 24838, 372, 199, 16752, 9606, 300, 387, 17780, 466, 6422, 20333, 376, 1857, 1924, 32891, 804, 357, 723, 1185, 2640, 349, 897, 2425, 33, 199, 9619, 262, 3338, 2133, 1593, 45416, 6527, 3500, 365, 508, 3874, 547, 1290, 327, 548, 380, 4665, 953, 4277, 870, 199, 1937, 515, 3040, 559, 3072, 1979, 12945, 25251, 857, 33314, 527, 456, 385, 1822, 381, 885, 2293, 380, 2129, 20020, 199, 368, 12202, 1753, 41526, 1189, 7850, 641, 1029, 290, 15884, 2743, 8830, 11481, 352, 20086, 608, 517, 1039, 1657, 33, 199, 653, 24399, 953, 11795, 4574, 3170, 1487, 21994, 774, 32729, 265, 1356, 21775, 385, 9048, 1223, 1772, 257, 1125, 199, 316, 846, 391, 1042, 297, 2251, 9853, 370, 7816, 1014, 372, 475, 4224, 324, 898, 2441, 344, 10197, 1115, 10028, 6422, 199 ]

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

[ 11914, 2068, 317, 1481, 10314, 1783, 27986, 570, 4639, 342, 820, 294, 27300, 31909, 4045, 452, 262, 948, 55, 1988, 199, 353, 429, 5274, 1391, 48253, 1110, 450, 30199, 560, 1110, 451, 2269, 266, 845, 533, 272, 1086, 18229, 2345, 1538, 2451, 199, 354, 2839, 32272, 376, 712, 384, 493, 1464, 411, 13502, 1744, 40618, 422, 536, 353, 5604, 1288, 276, 1181, 24353, 486, 450, 199, 938, 328, 693, 18630, 482, 391, 13299, 2694, 1947, 343, 661, 2581, 606, 445, 1179, 368, 1762, 262, 1589, 27491, 338, 17697, 199, 826, 392, 10993, 1726, 8056, 365, 1268, 9953, 2429, 38512, 17805, 2265, 367, 503, 641, 11766, 391, 443, 49591, 261, 199, 352, 1401, 544, 4113, 799, 284, 605, 422, 1112, 390, 916, 1126, 6829, 463, 297, 9805, 529, 320, 2782, 1292, 404, 7849, 54, 199, 44, 929, 15071, 13048, 38, 199, 0, 199, 2180, 1872, 1073, 10927, 320, 867, 950, 290, 537, 3847, 1181, 279, 4231, 8170, 414, 892, 14954, 1528, 8958, 54, 199, 283, 19243, 30863, 3801, 318, 2706, 289, 686, 293, 19983, 1067, 8705, 316, 1783, 476, 9421, 1626, 818, 554, 9611, 199, 329, 764, 5135, 3919, 581, 1199, 290, 575, 294, 30977, 3908, 297, 939, 5096, 346, 29063, 14960, 1750, 42158, 2659, 199, 384, 383, 865, 4207, 573, 12009, 3378, 11958, 279, 761, 29551, 329, 440, 1539, 24008, 4806, 289, 657, 17344, 958, 287, 199, 4025, 34856, 11452, 1172, 372, 1478, 1323, 1127, 364, 1231, 500, 844, 34261, 4636, 1064, 801, 377, 7923, 403, 774, 402, 199, 589, 4321, 2103, 28926, 519, 4889, 361, 4586, 11756, 10056, 1761, 596, 10220, 16647, 426, 7888, 9895, 3279, 199, 291, 1010, 8082, 966, 406, 1536, 40232, 1168, 22758, 490, 15738, 6861, 462, 45, 3115, 21515, 45, 2000, 47656, 43399, 199, 51, 4900, 1461, 3386, 493, 1625, 367, 1272, 11277, 33042, 1301, 509, 517, 1076, 31278, 532, 359, 772, 369, 748, 3715, 57, 199, 1397, 455, 338, 777, 288, 610, 1238, 338, 20132, 1065, 905, 620, 402, 403, 18128, 762, 357, 4827, 448, 33360, 499, 776, 199, 12478, 1501, 1304, 466, 1071, 46, 1505, 32300, 13513, 1700, 3366, 35085, 729, 22175, 20942, 617, 6055, 10892, 41, 199, 8486, 440, 3508, 363, 586, 675, 1204, 7724, 623, 1281, 349, 20689, 869, 378, 459, 318, 1687, 345, 994, 9722, 39755, 199, 296, 409, 4867, 481, 12232, 1320, 500, 5780, 10629, 1195, 351, 475, 2365, 1890, 562, 32085, 257, 1237, 358, 8797, 49, 199, 3773, 2057, 10404, 348, 720, 3110, 10699, 16456, 6226, 780, 469, 875, 4846, 327, 1781, 937, 2101, 6873, 392, 199, 464, 350, 6556, 391, 726, 285, 1566, 3671, 6307, 287, 10196, 11003, 281, 1602, 493, 317, 2235, 604, 13334, 1192, 13133, 549, 199, 26825, 2345, 2069, 371, 15885, 13099, 366, 471, 312, 12283, 2326, 331, 1444, 265, 3460, 468, 959, 886, 11300, 47819, 199, 32972, 983, 6468, 327, 2395, 29897, 1781, 1464, 46671, 7613, 22338, 18114, 24314, 2601, 2352, 318, 1484, 407, 9667, 199, 37, 419, 796, 483, 391, 1860, 499, 8269, 833, 1749, 410, 8535, 1297, 2466, 18264, 294, 1498, 1852, 5004, 1442, 13281, 199, 26351, 697, 45813, 1647, 293, 2470, 9027 ]

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

[ 25371, 11994, 266, 1305, 469, 324, 6491, 437, 454, 4837, 321, 1792, 18499, 199, 1835, 10447, 541, 6129, 872, 2129, 5691, 917, 6205, 632, 371, 3015, 1500, 2778, 3391, 603, 788, 4310, 265, 199, 44137, 1024, 55, 199, 0, 199, 2180, 752, 483, 2299, 14685, 20614, 43241, 1355, 14343, 38829, 1398, 16193, 2817, 44025, 4282, 25114, 10398, 199, 33265, 1082, 6014, 348, 440, 32674, 322, 445, 8287, 629, 355, 2614, 2610, 449, 698, 337, 1115, 271, 1092, 328, 2119, 2060, 199, 27459, 9780, 46933, 457, 754, 432, 6957, 1131, 2772, 272, 1320, 10398, 324, 403, 4932, 3193, 7711, 493, 2305, 288, 199, 389, 458, 1882, 20856, 5013, 470, 425, 260, 1850, 647, 340, 3968, 1525, 36, 10547, 816, 3979, 972, 544, 435, 8536, 383, 199, 1500, 317, 5372, 6153, 8423, 957, 450, 931, 15337, 1576, 7693, 905, 35706, 263, 911, 433, 1147, 492, 351, 1313, 45, 199, 370, 1332, 3272, 1014, 364, 419, 757, 294, 1513, 878, 17754, 1733, 876, 20386, 893, 684, 4637, 18991, 1974, 2267, 199, 5148, 1500, 360, 454, 4377, 395, 1063, 1381, 2360, 2297, 297, 5322, 610, 293, 822, 582, 285, 25821, 781, 1068, 43183, 199, 285, 4527, 1000, 57, 1785, 381, 15681, 369, 795, 272, 1014, 557, 980, 334, 790, 2919, 32043, 1078, 1959, 694, 2423, 33, 199, 266, 392, 1191, 355, 2452, 515, 299, 31831, 7835, 10759, 2616, 2616, 22810, 2134, 3636, 25513, 2180, 39862, 343, 966, 199, 27268, 25277, 1345, 426, 1241, 459, 1819, 786, 5526, 537, 557, 11680, 461, 45089, 447, 10566, 40, 2619, 14878, 1756, 199, 1512, 1248, 1137, 2416, 315, 1963, 864, 7978, 850, 295, 3944, 7042, 1526, 8004, 22932, 1617, 21351, 397, 1173, 199, 37, 7777, 45681, 1254, 363, 5087, 24139, 1895, 18861, 44789, 1042, 451, 55, 1213, 551, 46243, 5425, 413, 749, 3074, 199, 401, 1899, 262, 525, 444, 6344, 602, 1964, 24643, 430, 3094, 594, 350, 22208, 22379, 585, 38926, 1672, 972, 52, 199, 371, 1758, 1833, 340, 1609, 2074, 282, 1992, 338, 27143, 26521, 377, 722, 285, 1985, 527, 1514, 29050, 8105, 1238, 337, 199, 27301, 1956, 433, 5732, 7526, 297, 667, 367, 409, 22346, 391, 866, 458, 411, 1680, 14899, 433, 1817, 407, 2767, 9612, 199, 392, 10746, 413, 2182, 1139, 1722, 283, 2918, 423, 5656, 624, 334, 1000, 41626, 1603, 665, 40316, 372, 7686, 2076, 12940, 199, 1781, 418, 7453, 1013, 282, 743, 2616, 14253, 420, 325, 756, 463, 2046, 336, 876, 735, 312, 9602, 38295, 5789, 2094, 199, 3512, 1394, 1386, 937, 937, 5293, 578, 1964, 457, 260, 1010, 36, 1399, 278, 1008, 17066, 1690, 52, 1635, 19359, 44533, 199, 300, 4912, 14080, 1801, 12823, 31285, 31703, 2765, 18084, 762, 1854, 2188, 506, 10441, 7149, 26548, 1086, 283, 199, 14142, 15104, 604, 199, 0, 199, 8869, 374, 623, 689, 298, 714, 553, 6681, 1152, 353, 2319, 25903, 29870, 283, 841, 1613, 404, 9213, 730, 290, 708, 199, 467, 369, 705, 300, 2668, 31625, 1010, 20560, 1596, 544, 9698, 1729, 6255, 4960, 3763, 1399, 264, 1972, 370, 2920, 199, 6072, 1000, 442, 486, 21985, 601, 390, 608, 287, 2511, 431, 371, 354, 2692, 1047, 263, 1131 ]

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

[ 38501, 519, 3592, 438, 52, 199, 13493, 432, 11040, 356, 1849, 1592, 41108, 27530, 370, 1974, 28475, 665, 12543, 7792, 1076, 7574, 2625, 199, 3862, 813, 2955, 419, 6993, 16855, 314, 648, 578, 24580, 759, 729, 1388, 3122, 1060, 40218, 7304, 2139, 199, 282, 3600, 855, 519, 14499, 406, 19232, 327, 4304, 318, 579, 10753, 281, 15030, 1399, 1621, 3730, 381, 4585, 534, 199, 43308, 421, 553, 7699, 2068, 8694, 624, 18442, 301, 2645, 29142, 1529, 262, 558, 6533, 2860, 784, 12893, 753, 49, 199, 592, 11841, 5085, 1102, 2787, 337, 813, 1176, 1318, 854, 1565, 8029, 986, 4680, 16688, 2755, 284, 1379, 11998, 199, 32497, 25304, 285, 2604, 1213, 323, 2503, 3178, 5003, 8048, 46773, 6647, 8692, 341, 11723, 346, 602, 346, 1772, 49, 199, 20335, 3137, 2204, 32755, 554, 1206, 4670, 4457, 40620, 1049, 883, 21833, 1329, 3677, 455, 10109, 18420, 466, 41, 199, 1712, 366, 18188, 9606, 19031, 1656, 486, 575, 835, 313, 2847, 1207, 859, 1562, 378, 476, 9436, 2923, 343, 756, 10710, 199, 399, 1593, 39720, 12465, 342, 20979, 9886, 15640, 996, 9670, 406, 1535, 1081, 316, 1009, 15209, 3262, 11210, 287, 199, 782, 2036, 46, 999, 265, 2207, 14135, 38231, 1423, 5832, 911, 534, 3539, 621, 30126, 2426, 6067, 694, 727, 283, 199, 2959, 19191, 575, 2290, 723, 394, 1937, 602, 270, 3507, 4145, 402, 622, 721, 12102, 1655, 739, 7563, 374, 3484, 6825, 199, 6947, 481, 319, 1024, 464, 1728, 327, 2763, 263, 1010, 34475, 33342, 327, 9115, 21876, 1220, 426, 16246, 533, 383, 1603, 199, 51, 654, 280, 31809, 764, 781, 360, 2856, 398, 24124, 330, 921, 1532, 380, 5276, 325, 611, 704, 32515, 12022, 3279, 199, 2228, 274, 45958, 2114, 335, 822, 328, 921, 782, 1723, 316, 830, 35499, 882, 298, 6386, 1143, 401, 1407, 1521, 5074, 199, 40080, 786, 321, 949, 35006, 6346, 263, 941, 5054, 19012, 30477, 6994, 827, 620, 5257, 927, 4554, 414, 52, 199, 4024, 14470, 4652, 414, 2573, 367, 800, 391, 2482, 379, 1818, 4108, 633, 265, 548, 2733, 261, 3362, 2728, 1550, 583, 4956, 199, 11233, 4645, 552, 199, 0, 199, 2382, 3637, 1220, 43650, 1514, 295, 43042, 1271, 537, 515, 6067, 19806, 18494, 1801, 266, 15461, 4874, 2715, 50, 199, 29705, 775, 1277, 633, 483, 324, 751, 897, 262, 556, 463, 9226, 357, 629, 365, 1521, 4660, 50057, 1680, 3076, 20041, 199, 8886, 11553, 451, 604, 381, 41091, 2510, 506, 37578, 1307, 396, 781, 417, 1165, 1349, 745, 1286, 477, 1055, 14915, 199, 37, 552, 316, 437, 36314, 2295, 262, 910, 7585, 315, 997, 376, 2044, 16400, 724, 815, 412, 1144, 1266, 605, 943, 4687, 41, 199, 632, 1431, 5002, 7508, 423, 626, 3513, 334, 546, 354, 946, 355, 1570, 754, 12823, 1778, 273, 4827, 49794, 46, 199, 1704, 17418, 1996, 582, 472, 16769, 2494, 37068, 827, 294, 937, 2328, 57, 1335, 6878, 6295, 3326, 27823, 35, 199, 6412, 1113, 933, 4934, 1097, 14062, 322, 1216, 1844, 2102, 2006, 585, 7641, 634, 293, 11076, 2962, 13145, 1756, 199, 29713, 26910, 1034, 364, 39335, 1416, 41874, 292, 675, 266, 802, 1080, 2748, 1078, 2312, 10266, 960, 762 ]

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

[ 439, 3741, 199, 353, 1371, 285, 1161, 266, 2649, 4215, 26383, 714, 35143, 44352, 793, 29141, 345, 849, 10863, 299, 905, 381, 3878, 199, 357, 2918, 300, 1882, 12089, 914, 268, 925, 748, 497, 8090, 770, 1492, 1432, 4200, 377, 749, 22942, 2866, 1626, 927, 199, 377, 853, 2055, 905, 444, 14339, 1429, 11482, 359, 5623, 868, 24625, 1621, 331, 3233, 1007, 5455, 468, 11249, 287, 199, 352, 521, 22248, 647, 417, 6821, 26315, 3780, 15747, 41259, 2034, 372, 1282, 398, 1823, 498, 781, 492, 780, 14207, 199, 37, 5957, 10132, 1097, 723, 6162, 476, 619, 351, 1033, 668, 266, 433, 919, 30558, 781, 486, 1267, 533, 5813, 314, 199, 405, 408, 15763, 422, 12396, 14309, 433, 11586, 537, 18534, 348, 1824, 552, 558, 266, 961, 6004, 334, 15685, 756, 21744, 199, 761, 340, 1135, 433, 1807, 608, 291, 759, 353, 900, 1291, 282, 585, 41400, 26635, 5653, 929, 1578, 413, 1400, 509, 38779, 199, 51, 3878, 1695, 48219, 34474, 606, 337, 606, 337, 849, 20785, 344, 31494, 11279, 1946, 31964, 14103, 12046, 279, 967, 199, 312, 6319, 1715, 345, 535, 579, 1438, 48, 5623, 518, 441, 793, 35345, 359, 443, 4539, 2816, 12671, 473, 338, 2334, 12174, 199, 426, 9202, 1065, 516, 1497, 1841, 6957, 1445, 2154, 1187, 493, 345, 766, 22762, 1738, 8897, 12616, 455, 1327, 493, 52, 199, 878, 1921, 22454, 8530, 328, 5272, 543, 1047, 289, 8644, 287, 1066, 32114, 476, 6033, 1687, 1592, 3624, 8203, 199, 37, 7682, 35344, 199, 0, 199, 2091, 734, 735, 483, 4956, 646, 428, 1094, 15426, 864, 612, 401, 6364, 368, 6806, 686, 3094, 315, 777, 11658, 199, 32818, 10180, 733, 28496, 462, 616, 422, 866, 2585, 374, 674, 271, 709, 464, 35, 1389, 271, 941, 14153, 790, 20159, 199, 16588, 729, 8757, 353, 25274, 419, 1204, 7925, 8390, 328, 811, 1237, 3934, 318, 7039, 46477, 3509, 7502, 199, 20226, 11074, 3665, 431, 396, 1851, 1565, 19508, 517, 822, 291, 599, 422, 695, 3205, 570, 9169, 419, 7251, 656, 7594, 199, 1503, 398, 2065, 2378, 2699, 285, 901, 594, 422, 1808, 2480, 1682, 341, 43626, 319, 4347, 1704, 560, 21131, 259, 2708, 199, 312, 974, 10940, 365, 1506, 1806, 265, 12309, 781, 361, 866, 3414, 2804, 974, 9066, 477, 4216, 745, 388, 366, 1706, 199, 39, 2958, 8276, 3217, 361, 14772, 5773, 776, 18222, 721, 1326, 27271, 3169, 30249, 2611, 270, 2634, 392, 34549, 199, 429, 592, 479, 23372, 553, 6616, 406, 777, 14898, 2808, 709, 317, 1407, 1568, 6179, 4585, 1639, 15803, 1499, 409, 199, 7995, 1673, 4359, 684, 334, 687, 4669, 598, 3690, 17041, 382, 13021, 1603, 338, 668, 16657, 6794, 3124, 347, 199, 23456, 933, 259, 682, 631, 2996, 16755, 1348, 9696, 550, 1533, 15033, 7169, 1558, 268, 694, 1709, 2757, 300, 199, 27517, 1242, 807, 257, 1218, 5151, 403, 792, 293, 2360, 2333, 22866, 20402, 1051, 292, 2356, 21360, 961, 2966, 483, 199, 798, 16336, 1228, 326, 2625, 282, 601, 4427, 808, 3759, 446, 1723, 541, 28487, 19253, 2286, 9443, 1069, 370, 34999, 199, 3932, 20042, 5184, 2528, 10458, 388, 542, 683, 294, 421, 373, 981, 2565, 280 ]

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

[ 2600, 542, 15402, 280, 1930, 1997, 2704, 199, 14704, 1943, 462, 1151, 26907, 279, 1392, 520, 570, 2642, 661, 270, 782, 34038, 491, 388, 954, 320, 834, 362, 1013, 334, 55, 199, 357, 7894, 569, 820, 44763, 16074, 2016, 28053, 985, 274, 814, 2631, 414, 40975, 907, 7894, 566, 271, 763, 449, 199, 11290, 1066, 487, 18044, 1924, 349, 18286, 19728, 928, 518, 4469, 938, 2290, 571, 671, 16967, 547, 8025, 339, 199, 44, 38, 1124, 273, 2320, 48278, 4549, 45203, 524, 3834, 461, 297, 1725, 442, 880, 6164, 1215, 346, 3777, 48736, 4346, 199, 847, 3743, 10149, 49174, 2300, 403, 788, 2538, 4584, 1505, 350, 14264, 482, 2163, 319, 813, 501, 356, 1279, 392, 199, 7272, 1764, 2332, 12519, 978, 8018, 403, 13576, 587, 17625, 9252, 359, 15866, 312, 550, 344, 49760, 2262, 2850, 33, 199, 1243, 659, 776, 199, 0, 199, 419, 389, 579, 22904, 1628, 15745, 1614, 16055, 5839, 3553, 414, 380, 1815, 8350, 336, 715, 318, 6351, 271, 37841, 199, 37, 17892, 592, 12811, 1027, 499, 355, 507, 293, 670, 19688, 2957, 40222, 1268, 38893, 42195, 533, 3075, 7722, 427, 199, 457, 2426, 396, 2080, 409, 1579, 3960, 504, 393, 978, 7133, 273, 5105, 2136, 294, 4675, 870, 442, 2846, 2153, 457, 199, 691, 3201, 266, 2154, 452, 268, 1098, 10850, 301, 1699, 7798, 1234, 908, 406, 751, 11969, 41737, 6778, 1061, 268, 2250, 199, 2807, 378, 1122, 360, 35009, 623, 2022, 13042, 404, 1299, 662, 282, 21295, 1321, 30539, 275, 3481, 4512, 472, 408, 199, 9305, 441, 3827, 44329, 1271, 410, 777, 3562, 40526, 1032, 280, 3369, 295, 1114, 16545, 11307, 1126, 657, 742, 199, 280, 797, 319, 457, 442, 8943, 1098, 374, 23162, 3122, 327, 1562, 312, 395, 3205, 750, 29663, 529, 7627, 391, 1451, 295, 199, 39, 11339, 8257, 267, 4171, 2323, 38102, 1179, 590, 26741, 730, 4883, 298, 44512, 275, 713, 24749, 2309, 594, 373, 45, 199, 10285, 759, 466, 543, 474, 612, 6388, 362, 1138, 259, 2117, 11110, 767, 5954, 1292, 1005, 7100, 2593, 34295, 199, 15344, 8044, 292, 2264, 3686, 2386, 9591, 370, 500, 21666, 39440, 2176, 326, 1046, 16568, 427, 879, 450, 4941, 625, 199, 4950, 643, 332, 1256, 294, 1571, 35776, 48829, 477, 955, 17036, 1714, 612, 2567, 2950, 279, 3317, 2176, 1135, 425, 199, 9637, 1409, 336, 3768, 2942, 1349, 1128, 2687, 297, 2103, 668, 291, 395, 6498, 269, 1609, 7998, 374, 2182, 613, 466, 318, 199, 367, 400, 43888, 546, 319, 847, 450, 4298, 3200, 16709, 1614, 49601, 13614, 724, 621, 3631, 945, 317, 20466, 24044, 199, 6253, 637, 5399, 22008, 362, 14033, 264, 1119, 1642, 330, 568, 32977, 841, 16914, 1256, 806, 2841, 12355, 17122, 199, 1304, 332, 1366, 260, 733, 22585, 493, 1848, 384, 2484, 564, 1050, 3677, 8894, 15330, 750, 338, 1476, 568, 16098, 29736, 199, 2337, 17279, 1218, 33054, 4924, 413, 6793, 2740, 29786, 2064, 324, 767, 463, 342, 454, 1902, 352, 1874, 509, 3428, 35, 806, 199, 45466, 1564, 271, 770, 10570, 3118, 3909, 501, 388, 27880, 1166, 5880, 952, 428, 538, 4430, 43670, 8891, 677, 199, 622, 6407, 282, 1192, 28959, 400 ]

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

[ 7289, 708, 383, 2005, 644, 44017, 1344, 345, 1198, 293, 1026, 318, 792, 360, 517, 199, 37, 395, 22508, 10467, 1241, 372, 19882, 3353, 5832, 6896, 728, 5574, 400, 1441, 3053, 575, 24955, 1486, 8231, 199, 1658, 267, 838, 280, 199, 0, 199, 339, 1498, 48141, 5885, 1591, 6456, 600, 1867, 34529, 515, 14148, 24139, 10580, 345, 12426, 5565, 950, 38552, 199, 20976, 338, 22810, 35508, 1300, 1332, 387, 15398, 1646, 2093, 556, 16963, 441, 22102, 4007, 873, 813, 891, 1841, 199, 817, 563, 337, 1164, 930, 390, 419, 30237, 327, 543, 1272, 558, 30656, 2171, 348, 564, 23048, 2190, 1679, 315, 487, 1220, 199, 8119, 330, 423, 21754, 1424, 574, 7058, 418, 1205, 2154, 17259, 343, 1241, 611, 5360, 1707, 519, 510, 2056, 348, 366, 199, 21617, 1298, 438, 4250, 10370, 31383, 9117, 17778, 1449, 523, 529, 11221, 1198, 726, 421, 1413, 2515, 1842, 282, 199, 51, 6322, 551, 31011, 349, 513, 26895, 521, 329, 2026, 276, 3197, 3200, 330, 5545, 510, 261, 661, 9844, 270, 1156, 199, 4877, 11396, 1165, 290, 1024, 855, 22601, 268, 1584, 1212, 321, 564, 294, 5910, 335, 13771, 1061, 445, 1668, 25527, 2977, 199, 464, 14003, 356, 659, 386, 36430, 5959, 2040, 3734, 1398, 23064, 13680, 18107, 23048, 382, 2114, 436, 8136, 2337, 199, 1638, 22128, 16391, 9850, 17137, 4779, 2388, 285, 12137, 3100, 621, 9891, 674, 1424, 11717, 1476, 9308, 199, 1508, 258, 1062, 21872, 16596, 39211, 504, 16447, 377, 13958, 19046, 657, 959, 434, 4805, 766, 367, 1773, 19004, 199, 18532, 1008, 719, 1512, 327, 1894, 8732, 1021, 4251, 1168, 1208, 318, 1037, 421, 704, 8639, 2177, 328, 886, 350, 1268, 199, 1796, 27976, 8105, 841, 49880, 412, 2035, 403, 1000, 358, 31169, 1073, 398, 10720, 382, 2342, 10678, 24152, 996, 199, 406, 1571, 272, 497, 557, 953, 725, 9804, 562, 314, 14059, 405, 351, 3496, 1805, 545, 1712, 383, 803, 9711, 537, 199, 291, 839, 350, 664, 389, 8600, 289, 1049, 266, 494, 10945, 7811, 374, 8327, 417, 15299, 1812, 976, 352, 872, 16197, 199, 1645, 9249, 1571, 864, 878, 658, 272, 1328, 327, 527, 10146, 1610, 438, 343, 22991, 418, 381, 1442, 6977, 364, 5195, 199, 37, 20298, 37705, 327, 4161, 1062, 6827, 525, 1277, 28239, 376, 5497, 347, 533, 2166, 324, 756, 326, 5521, 530, 23183, 199, 44, 4167, 522, 34831, 471, 6651, 285, 1592, 284, 1460, 637, 867, 48, 2841, 318, 44550, 3575, 367, 891, 36, 715, 7913, 199, 1293, 22328, 338, 457, 1484, 596, 1625, 7049, 586, 330, 586, 25994, 1391, 15357, 473, 3124, 44726, 10461, 11468, 199, 438, 828, 816, 4100, 5609, 291, 2050, 1969, 406, 40118, 2439, 293, 1482, 360, 454, 5156, 413, 29535, 3021, 853, 199, 2803, 1066, 33273, 199, 0, 199, 2065, 49278, 13747, 579, 507, 936, 737, 324, 2269, 465, 3662, 1221, 274, 886, 455, 3325, 662, 4470, 26889, 469, 336, 199, 258, 801, 27553, 978, 288, 2200, 17269, 271, 1264, 1593, 8792, 31960, 42358, 382, 17170, 1327, 2942, 885, 5062, 333, 199, 550, 392, 41873, 7767, 871, 4013, 15407, 2583, 7846, 2933, 3605, 622, 296, 1200, 361, 763, 2461, 608, 4034, 353 ]

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

[ 199, 403, 24397, 393, 406, 1004, 1752, 2294, 301, 5593, 383, 1931, 1179, 6923, 351, 886, 294, 1363, 1736, 440, 586, 403, 1227, 199, 2687, 443, 4683, 1197, 1236, 344, 45445, 8914, 1093, 592, 858, 261, 799, 299, 1890, 259, 652, 398, 434, 8216, 622, 49, 199, 39, 4119, 1002, 486, 1289, 1253, 843, 35443, 9788, 1567, 357, 2401, 41260, 400, 525, 735, 11527, 271, 1248, 50, 199, 359, 27178, 2161, 18588, 949, 2616, 683, 270, 544, 435, 1232, 3014, 348, 420, 527, 5548, 349, 1399, 373, 527, 22197, 199, 1915, 289, 1258, 459, 4309, 22111, 5930, 718, 903, 358, 296, 4974, 999, 373, 1035, 17069, 10158, 928, 564, 485, 434, 199, 1519, 645, 856, 280, 1476, 790, 1094, 351, 1042, 2068, 629, 21349, 866, 723, 48, 683, 522, 448, 2252, 314, 2147, 33, 199, 11448, 616, 487, 25219, 359, 7735, 8840, 753, 281, 833, 527, 4448, 25777, 717, 521, 21607, 3273, 19004, 199, 41304, 273, 833, 8195, 1996, 3503, 416, 349, 4746, 410, 4834, 858, 410, 9795, 432, 764, 4431, 713, 14778, 55, 199, 638, 999, 724, 491, 889, 24377, 2939, 346, 4053, 282, 1008, 371, 12025, 314, 4366, 1423, 619, 16759, 298, 1328, 199, 18029, 1619, 348, 2826, 264, 3403, 639, 2277, 41168, 4349, 6256, 1006, 4732, 619, 301, 915, 571, 382, 9217, 29051, 199, 1710, 5094, 882, 3263, 1722, 327, 550, 1255, 10800, 31472, 1247, 264, 1678, 2277, 291, 1329, 516, 5533, 1971, 285, 199, 383, 1524, 3824, 12803, 27365, 582, 34385, 540, 2486, 37033, 7868, 6322, 2961, 5131, 2358, 470, 585, 199, 44, 2870, 377, 3801, 3390, 48833, 6511, 2850, 285, 649, 1231, 489, 3102, 1892, 16908, 2168, 1299, 417, 872, 271, 199, 37878, 7781, 1485, 314, 1208, 429, 3366, 519, 3564, 6910, 574, 199, 0, 199, 482, 392, 389, 985, 278, 595, 11022, 995, 40829, 2538, 6809, 1345, 2142, 16820, 4466, 334, 3235, 682, 277, 5919, 494, 199, 292, 1300, 2371, 1212, 373, 406, 527, 479, 13654, 478, 445, 4700, 314, 13038, 287, 5726, 6662, 3488, 1348, 2924, 52, 199, 910, 2960, 662, 262, 10320, 2149, 273, 642, 806, 282, 996, 708, 2770, 2083, 32750, 524, 8557, 919, 371, 2692, 199, 647, 46133, 1351, 492, 17415, 375, 435, 1908, 44707, 357, 1957, 1545, 272, 1494, 403, 3586, 1348, 4965, 1348, 50, 199, 19036, 341, 529, 5204, 3217, 361, 8669, 281, 5966, 7598, 460, 800, 27445, 17814, 9118, 447, 3283, 1274, 266, 199, 1327, 802, 9123, 1060, 1912, 3229, 6700, 1802, 2033, 10211, 744, 275, 12810, 856, 280, 595, 345, 550, 733, 275, 199, 1532, 35682, 5277, 3114, 11856, 866, 562, 18605, 562, 5816, 49813, 2516, 361, 658, 771, 2741, 771, 286, 199, 1216, 567, 317, 2490, 31303, 32933, 293, 692, 3523, 285, 489, 1060, 3940, 684, 326, 40158, 643, 2252, 373, 4791, 199, 44, 1807, 658, 529, 420, 1199, 37611, 21780, 623, 358, 470, 915, 7316, 1215, 714, 1196, 9636, 1492, 275, 2909, 933, 199, 337, 630, 2910, 535, 21604, 817, 2444, 352, 1912, 321, 4805, 282, 1708, 3521, 34072, 910, 41971, 3647, 281, 5912, 199, 44183, 552, 275, 477, 442, 536, 467, 357, 12163, 12635, 10866 ]

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

[ 11934, 749, 741, 362, 3586, 341, 1578, 1610, 7871, 33, 199, 37, 5158, 1191, 35918, 360, 467, 11861, 1030, 744, 775, 385, 37059, 849, 6147, 31410, 9553, 362, 4435, 1182, 199, 5068, 6701, 557, 445, 4528, 1738, 387, 558, 352, 725, 258, 662, 25766, 409, 20035, 765, 12074, 456, 16385, 293, 694, 199, 500, 6697, 369, 924, 268, 1011, 50, 1166, 556, 426, 1010, 1850, 578, 607, 1123, 33998, 19135, 19290, 458, 19019, 288, 199, 16752, 546, 895, 287, 1312, 50, 1467, 789, 331, 1615, 3518, 19470, 902, 327, 5780, 522, 5106, 975, 3227, 458, 199, 645, 789, 487, 629, 389, 1026, 428, 691, 280, 858, 412, 1895, 2763, 645, 789, 382, 1096, 551, 32858, 732, 284, 199, 3702, 438, 9512, 199, 0, 199, 14059, 318, 4352, 6336, 590, 623, 259, 1785, 294, 449, 601, 498, 394, 669, 376, 1419, 836, 29592, 1879, 627, 257, 199, 580, 842, 1112, 822, 1512, 30948, 2104, 55, 865, 11306, 6813, 5585, 649, 260, 2772, 616, 312, 384, 547, 524, 6634, 199, 1542, 7368, 570, 645, 2323, 418, 1457, 24238, 1603, 932, 20455, 2194, 7949, 354, 8874, 1567, 12940, 548, 34679, 199, 301, 1369, 2050, 370, 1919, 356, 31185, 1332, 4270, 3491, 1078, 313, 471, 17140, 388, 11996, 649, 13712, 1780, 356, 199, 384, 406, 3277, 7939, 330, 543, 2673, 47240, 3364, 26528, 289, 619, 387, 1227, 1247, 1603, 768, 15035, 933, 404, 199, 525, 22225, 7163, 1645, 16603, 294, 21495, 14851, 3146, 6102, 267, 677, 292, 16286, 462, 760, 35, 794, 667, 556, 199, 997, 18898, 363, 524, 1042, 312, 3025, 1333, 22819, 476, 1151, 346, 1095, 501, 8492, 1197, 1670, 748, 296, 3199, 284, 4898, 199, 44, 1250, 577, 10848, 410, 445, 6274, 384, 17808, 608, 301, 2175, 6985, 692, 7655, 403, 590, 2404, 263, 1561, 281, 1417, 199, 286, 1542, 7273, 38, 750, 13164, 800, 6067, 506, 9209, 24574, 1825, 30178, 970, 883, 1241, 38951, 9929, 4225, 199, 461, 882, 8186, 1567, 382, 7993, 321, 23168, 1542, 1202, 318, 1561, 682, 2195, 276, 11605, 407, 2823, 746, 4809, 4941, 199, 57, 966, 332, 1418, 4151, 292, 1439, 786, 664, 11700, 401, 697, 886, 5270, 337, 613, 20852, 776, 276, 1796, 290, 969, 199, 3985, 2293, 11593, 314, 2646, 837, 277, 570, 33043, 43899, 2526, 15259, 1456, 48075, 1919, 666, 20213, 431, 54, 199, 573, 10369, 356, 554, 326, 525, 35562, 2269, 48719, 1441, 355, 845, 1603, 822, 267, 408, 642, 2060, 340, 1278, 591, 408, 199, 6097, 1315, 334, 1001, 467, 345, 493, 2862, 344, 1432, 326, 9714, 933, 32398, 1440, 269, 19668, 3416, 2592, 2373, 10198, 199, 977, 29218, 560, 7010, 386, 15261, 387, 1901, 55, 2843, 496, 354, 862, 331, 575, 372, 697, 422, 1908, 324, 684, 282, 2356, 199, 5133, 21608, 453, 321, 590, 413, 8219, 18438, 513, 8956, 1202, 31897, 851, 2420, 624, 500, 362, 2018, 332, 1164, 647, 199, 397, 1425, 323, 2374, 1492, 8590, 386, 419, 807, 7920, 723, 331, 12635, 2498, 501, 1147, 6487, 42599, 39134, 5293, 199, 635, 3185, 1442, 715, 23405, 199, 0, 199, 1239, 873, 2322, 11667, 21371, 1101, 334, 2195, 1537, 1544 ]

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

[ 1936, 349, 747, 948, 279, 637, 7561, 403, 386, 365, 5392, 199, 1505, 29058, 689, 7781, 487, 4640, 450, 4311, 1170, 293, 12542, 265, 5361, 1317, 1169, 3432, 435, 612, 3647, 9495, 199, 8212, 1689, 11972, 422, 3309, 510, 2762, 954, 804, 21396, 317, 1184, 999, 600, 1884, 364, 22750, 2625, 2152, 262, 199, 36, 1368, 354, 2236, 40292, 16444, 381, 8782, 40232, 22084, 47872, 18408, 284, 813, 7658, 299, 830, 25512, 54, 199, 1808, 35507, 1246, 3153, 2307, 28971, 2824, 3353, 1324, 6369, 432, 2984, 1931, 24116, 2755, 291, 2638, 48001, 55, 199, 649, 46072, 328, 429, 3170, 4907, 1385, 11373, 664, 40, 2444, 267, 1105, 314, 695, 487, 20799, 12288, 7992, 199, 16425, 458, 2007, 894, 360, 769, 4659, 313, 1290, 288, 24932, 1256, 3166, 631, 55, 1212, 18128, 1014, 5228, 762, 199, 410, 9428, 9866, 1473, 479, 291, 1740, 292, 1998, 331, 1334, 550, 1003, 853, 323, 969, 1400, 493, 13659, 919, 857, 49, 199, 837, 370, 12143, 3733, 323, 2390, 2316, 8644, 1201, 937, 1168, 331, 446, 506, 15161, 1004, 422, 792, 285, 1768, 18501, 199, 557, 4202, 504, 1685, 1042, 5413, 456, 10543, 41976, 602, 4886, 3310, 29722, 645, 5225, 586, 339, 7531, 620, 199, 318, 1421, 1796, 357, 892, 32474, 2479, 344, 2164, 17636, 263, 1420, 17950, 18163, 47502, 1648, 16117, 388, 333, 2723, 199, 46385, 836, 294, 3146, 1106, 1285, 44975, 498, 1699, 1386, 1724, 825, 34405, 396, 5572, 24409, 2655, 322, 800, 199, 583, 13444, 3994, 3927, 464, 550, 364, 1230, 4261, 632, 704, 11414, 630, 327, 900, 1496, 266, 1468, 14460, 686, 199, 30408, 20777, 471, 975, 1151, 17808, 5806, 691, 7074, 507, 390, 1034, 34755, 25279, 567, 5199, 329, 3135, 14592, 199, 263, 1468, 16034, 35, 1082, 335, 1309, 4670, 294, 1561, 916, 3873, 22043, 1884, 1486, 9442, 335, 5012, 1356, 456, 333, 199, 38885, 2532, 513, 10653, 756, 22050, 1023, 10423, 42261, 527, 356, 12017, 2687, 285, 1238, 2617, 423, 5547, 345, 7148, 199, 789, 346, 5074, 3796, 317, 757, 438, 5502, 639, 907, 878, 281, 3305, 9651, 345, 9858, 379, 385, 897, 975, 199, 878, 14402, 4470, 13254, 23534, 1755, 1270, 3173, 9529, 692, 558, 2571, 31248, 357, 1656, 353, 672, 3097, 199, 258, 1230, 314, 807, 423, 5372, 786, 9516, 285, 2427, 464, 1281, 1641, 444, 18431, 2263, 398, 5847, 4992, 1071, 272, 199, 444, 1971, 561, 33, 199, 0, 199, 1313, 351, 1283, 975, 264, 1549, 2801, 621, 327, 2171, 401, 779, 44046, 2028, 12598, 733, 1741, 318, 13067, 713, 323, 199, 34538, 1723, 2714, 1825, 296, 46527, 364, 6775, 711, 398, 2976, 27533, 264, 2511, 917, 895, 729, 396, 788, 782, 52, 199, 14818, 2524, 296, 1618, 833, 1006, 1512, 985, 15187, 416, 1067, 599, 1192, 448, 8332, 367, 36167, 682, 282, 582, 404, 199, 6305, 1038, 285, 439, 740, 1202, 410, 1302, 7503, 594, 16865, 974, 28044, 4233, 659, 10840, 2195, 361, 1727, 18418, 199, 1364, 3281, 10835, 9973, 341, 860, 9133, 1607, 1430, 702, 3106, 396, 394, 12999, 285, 674, 647, 2493, 355, 15650, 199, 656, 506, 23557, 458, 1867, 392, 3330, 9787, 32461, 1294 ]

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

[ 2797, 3672, 17480, 452, 33016, 1609, 10910, 1447, 16262, 199, 1297, 13491, 45191, 1204, 7312, 1004, 3004, 4330, 323, 360, 469, 12820, 4676, 12463, 1157, 289, 1120, 1498, 493, 2650, 199, 42016, 574, 40, 2547, 340, 920, 296, 1272, 417, 1552, 267, 10291, 2863, 945, 284, 22822, 3087, 323, 592, 602, 4575, 43, 199, 3052, 2101, 406, 10829, 22924, 35866, 686, 2457, 372, 716, 704, 18040, 1999, 1840, 1226, 362, 964, 414, 3234, 199, 44, 2098, 439, 9020, 1351, 29551, 330, 3878, 669, 28420, 2366, 1033, 1108, 2314, 816, 546, 357, 1555, 378, 2590, 2652, 199, 1015, 967, 1362, 1759, 300, 3793, 363, 1897, 770, 2058, 1704, 7602, 511, 1332, 693, 337, 453, 408, 2746, 4112, 13633, 199, 359, 634, 11143, 299, 6509, 1122, 2569, 396, 1655, 4750, 19905, 47284, 1812, 397, 508, 319, 2110, 405, 8153, 346, 1080, 199, 38, 1388, 327, 610, 25996, 567, 293, 868, 429, 600, 257, 746, 293, 907, 480, 1611, 15790, 301, 639, 25923, 7943, 342, 2094, 199, 51, 12893, 761, 25636, 2815, 2664, 496, 13771, 804, 4181, 35024, 4351, 550, 5475, 16143, 15028, 846, 416, 4430, 199, 6642, 371, 924, 419, 1430, 3894, 550, 1443, 25445, 298, 1553, 3933, 260, 737, 565, 418, 1372, 1222, 265, 1981, 391, 661, 199, 2126, 292, 1430, 948, 28962, 937, 2202, 20834, 1161, 375, 1526, 542, 333, 976, 4122, 9482, 392, 37487, 1037, 268, 199, 523, 27153, 475, 4306, 327, 449, 2702, 291, 34066, 33711, 572, 14021, 458, 44685, 322, 527, 402, 1329, 5572, 321, 199, 44, 1428, 4150, 545, 800, 293, 1366, 5552, 721, 1849, 422, 6795, 11571, 400, 7582, 1585, 377, 12096, 334, 1172, 35546, 199, 269, 620, 7576, 3104, 9553, 258, 598, 3506, 24785, 1079, 20811, 281, 442, 394, 2294, 390, 1802, 450, 5683, 8901, 199, 469, 12121, 14026, 199, 0, 199, 445, 1096, 517, 277, 8646, 375, 580, 337, 518, 1457, 1681, 507, 42962, 23943, 466, 2961, 691, 4035, 370, 6304, 32023, 199, 6532, 26883, 866, 1295, 7010, 3483, 558, 15051, 9464, 369, 3724, 18769, 2039, 336, 2109, 426, 682, 33637, 31893, 199, 4533, 758, 279, 2520, 1380, 509, 5937, 731, 2593, 543, 1298, 3450, 3694, 1060, 264, 2579, 2875, 538, 330, 360, 656, 279, 199, 2488, 2293, 382, 3963, 346, 1374, 6679, 2786, 441, 941, 372, 7432, 5801, 552, 327, 1046, 10513, 856, 11571, 734, 199, 12256, 8689, 534, 48633, 596, 966, 508, 2533, 1947, 322, 3796, 11637, 786, 22403, 266, 1089, 3619, 334, 1187, 199, 414, 49, 999, 24244, 3190, 440, 564, 1068, 9513, 14586, 930, 413, 1196, 279, 1467, 313, 7674, 6138, 1328, 389, 5250, 199, 37128, 2409, 37674, 951, 38750, 18312, 336, 451, 41354, 546, 320, 441, 20238, 45253, 2075, 481, 783, 895, 695, 675, 199, 687, 3574, 449, 11941, 7670, 654, 1136, 346, 398, 10045, 36711, 6595, 944, 265, 937, 512, 689, 279, 1193, 17276, 199, 405, 2563, 962, 414, 4758, 5042, 501, 7804, 3126, 966, 282, 940, 23465, 783, 22537, 908, 442, 22038, 5007, 199, 417, 6041, 664, 18978, 12291, 812, 586, 951, 7200, 367, 16080, 9052, 9181, 4270, 5822, 691, 1533, 496, 199, 34890, 1735, 2669, 48069, 2922 ]

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

[ 2225, 32965, 318, 1288, 407, 17724, 407, 19937, 19937, 1956, 439, 1952, 856, 268, 199, 9149, 329, 1057, 444, 4685, 1168, 6217, 819, 630, 8052, 3095, 290, 824, 11981, 329, 906, 329, 621, 959, 329, 199, 438, 4840, 6750, 4185, 537, 507, 346, 6144, 43812, 6304, 40, 2060, 36597, 22354, 401, 3445, 3812, 417, 10114, 199, 44, 11133, 618, 6385, 1974, 410, 1130, 333, 959, 2480, 334, 4027, 547, 1046, 543, 6799, 479, 2463, 37657, 2393, 261, 199, 28193, 543, 855, 2449, 13018, 346, 794, 370, 2629, 759, 13773, 292, 1466, 24665, 273, 888, 41328, 510, 4818, 199, 329, 2254, 273, 2401, 547, 264, 4172, 293, 3391, 3391, 9956, 16646, 31701, 2752, 315, 2939, 15838, 40690, 199, 9849, 258, 927, 691, 11717, 5250, 13146, 2979, 13914, 996, 36240, 3483, 1199, 36597, 19823, 889, 509, 889, 199, 47818, 7500, 1894, 15524, 27992, 993, 2251, 524, 9365, 315, 6889, 551, 2463, 12158, 261, 1277, 290, 732, 199, 3326, 2939, 8219, 334, 9077, 1416, 954, 3173, 6458, 3233, 315, 514, 22834, 267, 906, 45359, 2176, 758, 372, 199, 37, 618, 663, 436, 199, 0, 199, 25600, 24337, 336, 2214, 288, 701, 1421, 453, 347, 851, 322, 1087, 1585, 3695, 18438, 3598, 40344, 439, 8647, 938, 263, 199, 351, 1186, 16710, 354, 512, 5412, 25870, 733, 1264, 841, 5028, 510, 2581, 3274, 318, 944, 327, 2116, 468, 22968, 5302, 199, 2581, 2293, 792, 441, 1902, 406, 8214, 12457, 257, 841, 14237, 486, 401, 1627, 14918, 1516, 499, 504, 7121, 869, 199, 11461, 271, 676, 12096, 20736, 909, 337, 22022, 33194, 1557, 346, 4131, 2288, 908, 4446, 13956, 625, 295, 546, 199, 405, 1772, 28182, 6649, 730, 396, 2746, 2466, 478, 887, 415, 415, 24719, 45340, 563, 530, 276, 633, 13030, 417, 330, 503, 199, 23030, 13500, 1490, 659, 570, 4223, 2965, 10250, 578, 14965, 610, 1168, 7240, 15355, 1322, 1932, 469, 6301, 199, 9274, 435, 46701, 779, 34258, 14610, 1631, 20954, 321, 4111, 4613, 463, 282, 1283, 1024, 41321, 9131, 368, 1359, 199, 871, 3588, 271, 1240, 347, 6791, 383, 18583, 275, 1440, 364, 18281, 4754, 1492, 1365, 379, 12247, 866, 2493, 6887, 199, 18033, 1886, 1221, 13887, 395, 479, 2416, 2527, 485, 803, 2040, 47460, 12869, 1905, 392, 8126, 366, 1314, 9573, 10327, 199, 397, 1816, 9199, 1189, 19469, 540, 897, 884, 13663, 547, 273, 929, 1452, 277, 813, 10826, 1183, 624, 1359, 1002, 36, 199, 695, 263, 776, 22958, 2381, 508, 18747, 13956, 1138, 18317, 3115, 2159, 1022, 2470, 1105, 2496, 262, 1640, 33944, 199, 39, 9575, 870, 31599, 7899, 370, 1608, 1201, 327, 6102, 8457, 444, 26716, 22095, 33129, 1186, 24312, 1481, 498, 199, 367, 3548, 387, 21538, 24729, 1460, 1533, 1592, 1207, 318, 709, 426, 418, 22606, 1353, 411, 868, 339, 2876, 7169, 401, 199, 485, 1041, 263, 655, 28685, 1135, 1195, 880, 3807, 8455, 327, 28433, 1056, 277, 7814, 40, 750, 1190, 378, 2002, 9744, 199, 17721, 332, 19626, 1248, 377, 2346, 42722, 335, 1201, 413, 1906, 1026, 3309, 426, 39330, 1969, 977, 7277, 1520, 7345, 199, 684, 12980, 4999, 279, 898, 882, 7775, 7987, 291, 6303, 280, 1594, 45493, 4366 ]

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

[ 11005, 389, 1718, 3869, 199, 39, 595, 4724, 4366, 3115, 257, 2538, 10345, 39964, 1618, 558, 3414, 46, 1588, 297, 15090, 1190, 356, 908, 8103, 199, 350, 1305, 1514, 762, 38447, 1163, 463, 356, 539, 1686, 49112, 2390, 12646, 389, 739, 32006, 2210, 1012, 776, 47379, 199, 1751, 1485, 354, 1091, 371, 473, 741, 7102, 637, 463, 13461, 409, 3779, 673, 5583, 430, 297, 30238, 689, 375, 422, 642, 199, 1394, 633, 8895, 199, 0, 199, 2120, 598, 6750, 895, 13433, 411, 1566, 1883, 469, 393, 880, 3623, 555, 841, 4425, 295, 886, 291, 1487, 314, 802, 199, 443, 487, 418, 14108, 2362, 343, 17405, 1764, 369, 14465, 40, 1870, 568, 1387, 38, 3838, 11481, 47199, 546, 27272, 539, 35, 199, 20934, 456, 628, 6722, 442, 440, 21789, 2740, 1448, 426, 323, 1176, 292, 1026, 622, 1812, 38906, 371, 1573, 16180, 447, 199, 2388, 413, 2071, 2388, 52, 1205, 1573, 474, 16377, 447, 7464, 356, 2071, 1573, 2388, 413, 1807, 509, 3483, 1168, 25331, 1869, 199, 366, 2889, 776, 4311, 1635, 356, 977, 386, 21224, 24781, 36580, 47660, 14070, 713, 662, 298, 599, 419, 391, 723, 319, 199, 24168, 1381, 332, 2763, 282, 5190, 5292, 14224, 2888, 300, 602, 362, 10762, 350, 14785, 527, 9041, 774, 740, 260, 199, 1508, 348, 1300, 1699, 27404, 599, 3024, 13859, 316, 39292, 382, 23905, 594, 330, 7165, 6015, 470, 7448, 315, 433, 2388, 46, 199, 2388, 529, 413, 529, 413, 529, 413, 529, 413, 2195, 32109, 1300, 2030, 16486, 762, 1012, 49775, 664, 594, 270, 1645, 367, 526, 199, 496, 19743, 664, 2665, 732, 325, 630, 856, 287, 3666, 450, 371, 15713, 5751, 1277, 1783, 833, 458, 35813, 1639, 392, 199, 51, 860, 263, 2464, 2458, 7852, 16073, 639, 11581, 809, 1902, 662, 11652, 5032, 3873, 425, 348, 471, 19935, 347, 199, 1519, 3204, 625, 5250, 3732, 15928, 463, 9392, 378, 1670, 31571, 44104, 1777, 18827, 26660, 21178, 916, 259, 1406, 199, 3753, 14759, 43589, 901, 495, 24109, 608, 5425, 9056, 4713, 1108, 1205, 426, 1205, 682, 284, 708, 31385, 2799, 199, 9118, 609, 274, 1172, 9386, 5535, 449, 5158, 3592, 642, 280, 1846, 1777, 373, 2402, 3812, 370, 4446, 478, 55, 199, 5060, 338, 36721, 7364, 1839, 35394, 384, 3344, 451, 453, 830, 18682, 15517, 426, 2418, 263, 2346, 773, 1237, 1341, 449, 199, 316, 9592, 6334, 1081, 637, 18665, 2609, 830, 1648, 1433, 294, 1442, 3647, 2319, 2985, 2212, 844, 292, 1521, 46, 199, 404, 5062, 5074, 1654, 1058, 287, 1331, 48, 938, 15042, 48052, 552, 19741, 35623, 367, 2087, 279, 1853, 278, 758, 263, 199, 31388, 425, 661, 406, 737, 9066, 404, 1749, 1771, 687, 1098, 315, 17195, 2265, 548, 619, 372, 18980, 2872, 444, 400, 199, 326, 703, 385, 5910, 2507, 46701, 1367, 365, 1732, 4124, 411, 782, 262, 11409, 1218, 9481, 580, 3185, 382, 766, 2850, 199, 2863, 316, 12297, 495, 618, 260, 939, 336, 14054, 22680, 383, 690, 2494, 1745, 494, 18303, 380, 485, 540, 1857, 1028, 33, 199, 24963, 866, 1764, 199, 0, 199, 852, 13637, 3760, 691, 277, 1151, 32318, 1635, 381, 2287, 390, 610, 464, 2812 ]

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

[ 3644, 9475, 32871, 820, 287, 8936, 199, 30449, 1112, 516, 5530, 479, 2314, 502, 400, 22446, 20109, 522, 42592, 9888, 1243, 296, 1512, 388, 518, 259, 1599, 388, 199, 588, 295, 4219, 747, 1161, 713, 1177, 5842, 41960, 435, 284, 9436, 7287, 331, 2607, 274, 1604, 347, 42398, 573, 20020, 199, 1171, 274, 709, 655, 22557, 7168, 2528, 320, 601, 339, 675, 378, 3283, 6390, 263, 1013, 4766, 464, 895, 286, 1253, 199, 16609, 378, 6097, 984, 318, 6536, 331, 1278, 2960, 353, 780, 356, 2453, 279, 521, 13689, 318, 907, 559, 16955, 886, 199, 630, 263, 1944, 46444, 1185, 9989, 702, 7877, 947, 371, 2078, 1001, 340, 1219, 490, 1046, 2509, 426, 599, 24826, 6128, 199, 1793, 321, 3804, 371, 1634, 330, 2076, 24394, 830, 1658, 377, 8994, 463, 336, 2071, 300, 2908, 350, 9789, 3272, 2108, 46, 199, 3885, 632, 540, 347, 347, 1879, 734, 290, 15595, 55, 944, 384, 661, 17170, 417, 608, 11004, 577, 689, 5730, 1796, 574, 199, 38185, 42956, 524, 432, 662, 445, 1416, 7333, 526, 4210, 296, 27490, 12048, 3032, 546, 14602, 1719, 3016, 1208, 2964, 11594, 199, 1769, 5134, 13137, 1598, 426, 2255, 528, 6434, 404, 2422, 367, 7875, 429, 741, 7868, 28980, 1032, 422, 931, 783, 199, 1408, 271, 576, 930, 691, 1802, 362, 24595, 423, 3994, 1025, 293, 1143, 582, 5202, 703, 547, 447, 2890, 289, 2102, 4677, 199, 263, 764, 275, 1712, 20441, 1297, 26255, 4237, 3233, 272, 1204, 361, 9720, 498, 49, 1661, 15956, 336, 38785, 1148, 199, 390, 9381, 22491, 16336, 292, 603, 1033, 638, 297, 462, 803, 530, 351, 2644, 448, 9327, 30771, 1081, 25999, 2903, 199, 590, 364, 23083, 2477, 1607, 1600, 895, 367, 12719, 400, 385, 939, 5291, 344, 602, 475, 800, 258, 2891, 868, 7490, 582, 199, 20896, 1737, 15767, 401, 589, 3899, 6883, 9234, 285, 2989, 1134, 8435, 444, 4453, 1021, 1382, 6595, 4430, 573, 199, 289, 603, 414, 1226, 3886, 293, 2072, 3436, 673, 387, 18487, 429, 1389, 344, 422, 1463, 496, 1036, 2453, 15532, 746, 790, 38, 199, 6998, 1725, 271, 2352, 12359, 2032, 3472, 1115, 3748, 322, 11616, 653, 346, 514, 886, 371, 590, 492, 347, 931, 1108, 266, 199, 23242, 999, 16402, 1326, 272, 4879, 2876, 345, 605, 959, 974, 10520, 1309, 10121, 265, 1772, 312, 1399, 3391, 199, 1202, 870, 10045, 2243, 361, 2186, 1673, 34269, 2174, 985, 7052, 8053, 1399, 27372, 4713, 495, 1054, 1703, 282, 199, 870, 293, 10956, 199, 0, 199, 1261, 391, 619, 1915, 337, 8608, 21769, 848, 540, 700, 44071, 2348, 457, 896, 31576, 6620, 1504, 1093, 43855, 541, 199, 438, 946, 616, 369, 1974, 11175, 747, 268, 4505, 5066, 5721, 464, 558, 4921, 320, 6273, 361, 498, 2124, 343, 666, 199, 386, 1877, 373, 1059, 29144, 1757, 609, 21153, 574, 39301, 555, 679, 1012, 321, 793, 598, 273, 956, 1732, 5312, 10440, 199, 1137, 6322, 473, 22771, 40, 886, 264, 7897, 297, 2872, 683, 18121, 1780, 7220, 11122, 894, 47366, 4323, 548, 333, 199, 286, 19337, 1287, 708, 19583, 3124, 2485, 897, 1403, 1296, 15444, 1613, 17824, 8943, 320, 802, 385, 2069, 12859 ]

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

[ 199, 290, 482, 2646, 2087, 9827, 753, 684, 407, 3123, 11022, 415, 3180, 12667, 287, 511, 316, 1075, 3857, 452, 334, 6088, 199, 44, 1188, 9792, 7546, 271, 742, 19976, 680, 9497, 663, 569, 3105, 614, 351, 2228, 532, 384, 1404, 258, 2201, 29741, 199, 267, 1378, 3380, 6253, 17635, 10795, 814, 312, 1866, 334, 15623, 440, 975, 604, 294, 576, 982, 1974, 43633, 1896, 484, 199, 1491, 482, 13590, 1000, 540, 818, 1075, 1046, 290, 1259, 9625, 880, 415, 1747, 6015, 19433, 543, 880, 22387, 366, 199, 39, 2805, 2824, 498, 331, 615, 15174, 372, 35995, 527, 1046, 41542, 966, 3522, 359, 376, 33090, 427, 2788, 1077, 26835, 199, 461, 3620, 4915, 24265, 816, 9473, 937, 33228, 4337, 282, 1052, 1941, 438, 45579, 628, 37274, 3814, 784, 55, 199, 367, 1397, 3786, 267, 953, 1135, 538, 36817, 22045, 370, 1110, 411, 886, 340, 2265, 555, 1437, 2018, 8243, 3619, 7152, 199, 989, 1128, 12026, 19741, 744, 359, 2256, 269, 1018, 23532, 3233, 43977, 387, 55, 1620, 8841, 440, 508, 10490, 11007, 199, 15828, 344, 681, 1190, 463, 446, 1633, 265, 970, 270, 1091, 277, 8696, 557, 26316, 462, 10314, 1078, 6239, 35917, 199, 17095, 1548, 366, 19985, 11088, 1738, 3837, 1009, 301, 1332, 30840, 441, 458, 6455, 722, 11012, 406, 10763, 21746, 199, 15513, 3258, 446, 823, 268, 914, 1207, 35913, 1119, 2082, 622, 464, 3621, 13117, 8620, 293, 8290, 817, 319, 4488, 199, 321, 5058, 325, 4280, 5167, 8425, 3832, 510, 263, 22717, 535, 317, 3406, 2199, 9932, 23357, 341, 350, 2669, 52, 199, 39689, 646, 371, 953, 3626, 9164, 590, 576, 414, 17989, 1998, 854, 17421, 2272, 2613, 943, 3870, 23050, 1058, 391, 199, 594, 25919, 394, 2881, 5814, 32342, 9409, 456, 4938, 671, 3603, 3247, 1742, 285, 3925, 492, 1408, 7111, 475, 10775, 199, 264, 610, 2705, 317, 199, 0, 199, 1513, 1686, 13102, 1892, 521, 28349, 540, 270, 1449, 576, 441, 407, 366, 681, 1052, 387, 703, 28324, 589, 509, 2803, 1073, 388, 199, 333, 848, 581, 41918, 1776, 2690, 1145, 10323, 343, 1348, 398, 1118, 1428, 380, 695, 339, 3445, 4620, 282, 3448, 576, 13308, 199, 592, 57, 1942, 3840, 19631, 35879, 800, 280, 2166, 915, 1024, 3149, 5319, 386, 500, 13871, 524, 25518, 6762, 1629, 199, 1835, 714, 6381, 2617, 470, 1169, 464, 38124, 1818, 1623, 26177, 697, 463, 7655, 1310, 3631, 385, 744, 21152, 3129, 199, 15728, 4720, 393, 4674, 373, 9794, 1959, 586, 669, 314, 942, 1180, 24654, 1959, 474, 3483, 269, 37812, 1152, 6062, 199, 26799, 2161, 664, 2208, 319, 13968, 7880, 38089, 476, 6469, 762, 23475, 48313, 503, 4924, 514, 44059, 6097, 199, 1789, 7841, 882, 4685, 6644, 8486, 1760, 37991, 513, 342, 22752, 732, 266, 576, 10064, 22071, 1072, 426, 26611, 199, 358, 29310, 1184, 418, 325, 6589, 357, 895, 317, 2037, 540, 4741, 846, 274, 1966, 44064, 470, 2460, 9582, 46204, 199, 745, 582, 423, 737, 464, 915, 2391, 283, 1405, 312, 645, 522, 3217, 448, 20933, 2229, 509, 459, 15398, 462, 687, 330, 199, 396, 1079, 40895, 1757, 20534, 1638, 22128, 7345, 939, 527, 420, 474, 1805, 735 ]

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

[ 489, 1365, 1151, 9279, 605, 54, 199, 18579, 19103, 1199, 564, 470, 325, 1382, 2356, 6771, 343, 7939, 1095, 413, 368, 2409, 1010, 14097, 1465, 13352, 355, 644, 199, 27125, 4168, 440, 1219, 2186, 391, 9668, 44955, 474, 2964, 403, 2149, 325, 2061, 346, 1231, 417, 23141, 3030, 27223, 199, 51, 2371, 12094, 647, 296, 1015, 57, 1093, 12692, 2273, 14152, 30462, 5353, 1867, 350, 667, 298, 1466, 10182, 575, 33, 199, 4251, 1933, 399, 2122, 18425, 394, 324, 1963, 391, 416, 15537, 7546, 422, 291, 36608, 2673, 997, 1874, 301, 1225, 3451, 199, 2430, 30353, 3788, 438, 288, 524, 4421, 815, 33445, 668, 1155, 4025, 3670, 7982, 278, 1941, 11097, 1272, 347, 558, 275, 199, 377, 5981, 17353, 400, 1981, 377, 38141, 717, 421, 29504, 4105, 292, 6120, 2361, 802, 2622, 34610, 20583, 725, 199, 345, 562, 1390, 526, 331, 18875, 7914, 879, 576, 29279, 9918, 350, 1168, 893, 3507, 371, 978, 405, 31161, 28745, 52, 199, 2189, 13914, 3876, 2503, 333, 5461, 899, 35556, 3155, 1714, 7247, 21298, 48595, 1541, 351, 3369, 1675, 32259, 199, 10057, 312, 12860, 7349, 389, 31510, 822, 6677, 346, 2395, 344, 1761, 629, 346, 1076, 1802, 397, 1295, 344, 329, 535, 578, 199, 20102, 21739, 45, 199, 0, 199, 1271, 1512, 902, 11650, 1130, 265, 1300, 5571, 19047, 1079, 1885, 446, 718, 48, 11587, 9831, 6651, 288, 1870, 453, 41, 199, 48620, 12217, 34337, 1363, 446, 18344, 415, 1195, 1485, 9068, 3254, 2687, 879, 16745, 542, 864, 434, 47278, 563, 199, 44, 1038, 2795, 2256, 288, 628, 339, 9419, 4296, 338, 1918, 342, 12645, 2347, 404, 2388, 332, 5978, 535, 14985, 1502, 46, 199, 438, 983, 1351, 271, 588, 384, 14874, 425, 1429, 1005, 1269, 10048, 265, 1544, 1440, 367, 366, 708, 389, 435, 28544, 4081, 199, 401, 11795, 1502, 653, 996, 3418, 413, 3307, 556, 887, 286, 3750, 30311, 4987, 767, 284, 747, 455, 1331, 1432, 54, 199, 12678, 754, 401, 657, 31858, 337, 796, 3438, 1376, 28391, 3190, 17031, 38799, 917, 485, 957, 423, 17886, 1186, 52, 199, 1038, 9090, 1350, 265, 2244, 327, 946, 283, 878, 1617, 15007, 1176, 13134, 292, 1201, 13137, 1816, 351, 3348, 33782, 199, 18192, 12884, 953, 1932, 36840, 1240, 562, 655, 16971, 1360, 3165, 1096, 17183, 1905, 15432, 33427, 505, 5151, 199, 51, 427, 416, 459, 37374, 2669, 12969, 552, 14860, 418, 807, 14693, 29451, 363, 2286, 2111, 666, 1134, 472, 902, 2125, 199, 297, 2205, 930, 462, 6381, 4348, 364, 11244, 921, 357, 1627, 4454, 1916, 1222, 343, 559, 38925, 825, 17944, 933, 199, 1080, 377, 988, 48629, 796, 427, 560, 354, 9619, 486, 606, 21462, 385, 15654, 363, 877, 330, 941, 13060, 411, 11835, 199, 6383, 3275, 27253, 5430, 525, 612, 1852, 670, 372, 10543, 403, 3998, 16162, 13320, 1920, 22131, 431, 14315, 845, 199, 8496, 424, 584, 12848, 11778, 15504, 559, 42961, 709, 2363, 737, 547, 823, 440, 552, 1849, 377, 32309, 363, 4098, 199, 38844, 563, 3968, 325, 2769, 13845, 6561, 26291, 496, 599, 670, 291, 2171, 14350, 697, 5472, 966, 276, 2750, 342, 469, 199, 322, 9200, 344, 22612, 960, 509, 689 ]

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

[ 26599, 1156, 367, 1220, 24801, 5783, 933, 22693, 521, 4481, 740, 8642, 199, 2767, 502, 626, 26477, 295, 2619, 1793, 371, 24195, 7122, 481, 28725, 350, 1050, 48054, 2466, 25103, 1051, 998, 280, 199, 11507, 279, 2875, 17945, 689, 416, 15371, 598, 5336, 4267, 260, 14384, 5685, 471, 10483, 14530, 855, 405, 33540, 199, 44, 879, 1113, 375, 7544, 35, 777, 263, 1792, 1055, 4618, 1283, 7726, 9692, 1543, 290, 475, 22856, 404, 706, 384, 199, 0, 199, 852, 1008, 45350, 15277, 15395, 16706, 717, 21193, 653, 321, 2643, 2418, 467, 9035, 1933, 381, 510, 440, 52, 199, 44, 5136, 44359, 1040, 11783, 10898, 12745, 631, 47443, 680, 551, 315, 1096, 1620, 12380, 2476, 617, 443, 3642, 367, 199, 332, 1138, 5795, 469, 3970, 15889, 4958, 2741, 1139, 293, 6236, 758, 281, 45277, 3047, 617, 383, 4319, 30547, 54, 199, 42670, 12004, 1126, 267, 2403, 453, 409, 3135, 13894, 717, 334, 1900, 19626, 1320, 1496, 695, 10060, 3657, 325, 1221, 199, 34862, 882, 312, 757, 1036, 1281, 900, 19778, 1501, 327, 3337, 554, 477, 418, 15047, 287, 549, 1192, 484, 395, 22166, 2920, 199, 8767, 325, 11578, 547, 317, 499, 15036, 4327, 652, 271, 662, 398, 734, 6613, 1252, 346, 522, 416, 755, 463, 838, 40, 1661, 199, 2685, 1429, 1048, 1188, 5883, 524, 353, 1078, 1023, 4567, 8917, 689, 333, 1015, 48196, 4064, 4300, 4999, 1049, 49, 199, 31348, 26057, 1786, 1184, 386, 794, 20293, 1335, 47758, 1430, 18020, 22879, 838, 291, 1513, 28321, 4118, 10049, 199, 15956, 267, 5453, 28059, 373, 11841, 884, 15050, 299, 6564, 15294, 3461, 948, 1301, 562, 667, 19318, 509, 50, 199, 1113, 18060, 556, 388, 46408, 4134, 40035, 48041, 522, 359, 1571, 318, 1787, 368, 594, 17813, 2361, 573, 530, 470, 199, 30409, 1205, 350, 928, 368, 3088, 292, 425, 2719, 10242, 2573, 1159, 33645, 12041, 1224, 281, 4184, 486, 634, 422, 21194, 199, 39, 15006, 750, 5155, 373, 775, 4476, 46401, 28372, 2898, 1699, 450, 42933, 994, 264, 2405, 1861, 2659, 359, 18581, 199, 264, 399, 599, 934, 1372, 1228, 23134, 349, 473, 9539, 264, 530, 674, 1011, 48575, 638, 2783, 530, 876, 345, 2460, 1855, 199, 10461, 1176, 15382, 1060, 3191, 325, 575, 1934, 443, 35, 1157, 3228, 426, 2492, 2785, 5307, 1029, 520, 7843, 9318, 11083, 199, 763, 333, 849, 3477, 365, 1272, 1412, 499, 993, 778, 835, 356, 3496, 41059, 9424, 10678, 2030, 487, 338, 13579, 199, 14168, 447, 1811, 2340, 339, 17666, 1505, 299, 599, 696, 377, 731, 846, 397, 7681, 1875, 13290, 4710, 471, 597, 2249, 199, 410, 486, 538, 699, 3390, 329, 14757, 7633, 356, 21209, 6756, 3353, 16704, 397, 1030, 438, 401, 18406, 566, 295, 988, 199, 2456, 281, 1909, 424, 3052, 356, 4034, 550, 830, 348, 722, 301, 809, 10366, 366, 33941, 2339, 36688, 294, 2020, 524, 199, 1478, 1919, 31486, 6159, 35135, 46957, 808, 287, 594, 826, 15054, 1014, 28182, 10400, 3452, 1497, 5872, 378, 199, 359, 2246, 325, 445, 199, 0, 199, 21641, 1635, 23197, 2187, 558, 34668, 900, 1575, 1488, 406, 460, 578, 2061, 4759, 12326, 323, 30681, 4005, 5250, 199, 426, 3526 ]

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

[ 389, 19353, 1763, 659, 732, 3502, 21611, 717, 39073, 1600, 1241, 28471, 1945, 40248, 406, 382, 3805, 199, 17317, 29152, 8207, 1743, 1163, 13504, 37262, 280, 29604, 592, 5557, 430, 923, 17642, 913, 318, 10171, 477, 199, 26055, 503, 325, 2647, 49, 2400, 343, 7300, 8636, 3161, 47341, 355, 960, 927, 273, 1971, 31641, 524, 7094, 573, 783, 199, 29549, 324, 2552, 471, 40307, 859, 24497, 621, 4374, 1660, 19453, 411, 845, 520, 3955, 337, 513, 35, 1727, 5629, 565, 396, 199, 282, 10559, 381, 694, 36134, 1234, 421, 5647, 393, 2073, 3090, 463, 612, 18822, 504, 295, 2184, 655, 43678, 3888, 261, 199, 276, 11734, 336, 2016, 387, 16271, 856, 504, 361, 1586, 317, 449, 3554, 1922, 400, 889, 1733, 6532, 350, 1157, 371, 2250, 199, 7518, 669, 1031, 2827, 49877, 32103, 435, 293, 497, 2810, 497, 935, 23173, 7328, 833, 15923, 14391, 413, 199, 2153, 441, 441, 855, 2537, 382, 576, 412, 873, 585, 4311, 356, 1439, 3746, 1816, 336, 22632, 613, 635, 1414, 372, 18963, 199, 39, 1492, 1071, 3533, 7984, 1325, 622, 1064, 1537, 407, 341, 369, 4837, 557, 269, 1899, 615, 485, 782, 2453, 10883, 446, 199, 39, 603, 2305, 2000, 648, 397, 610, 528, 7946, 692, 9779, 2121, 484, 2244, 37932, 2282, 1190, 2823, 1869, 17294, 3741, 199, 39, 626, 259, 1045, 315, 4694, 281, 960, 494, 711, 3971, 1345, 1559, 284, 1414, 287, 613, 13245, 12775, 15440, 6549, 38, 199, 40962, 291, 1618, 1812, 34842, 41122, 32267, 380, 1120, 13294, 39554, 9997, 30545, 5991, 273, 1705, 1110, 4654, 199, 1235, 259, 20362, 1086, 46, 2655, 34976, 518, 33583, 975, 816, 274, 1930, 1338, 541, 4061, 539, 4530, 556, 199, 10090, 45225, 2448, 272, 952, 2041, 538, 295, 1901, 19398, 13244, 488, 11235, 451, 2523, 431, 6550, 13783, 390, 199, 2832, 39044, 316, 4637, 343, 1493, 344, 17248, 7030, 397, 27081, 830, 13620, 18625, 3424, 624, 1622, 10203, 199, 48, 1867, 288, 1964, 2114, 4484, 29185, 368, 1461, 2491, 423, 6331, 1737, 257, 1961, 410, 1287, 1223, 691, 1880, 5115, 199, 839, 6662, 1666, 910, 1574, 367, 474, 1285, 3999, 452, 295, 642, 301, 1796, 290, 2388, 3333, 586, 7987, 1344, 16343, 199, 609, 354, 4276, 31307, 592, 37087, 419, 1708, 1148, 13085, 21894, 754, 2189, 2167, 3221, 266, 1350, 44581, 199, 349, 4491, 4058, 199, 0, 199, 9907, 277, 1024, 271, 3430, 389, 18684, 1237, 8537, 1254, 290, 1415, 4855, 1317, 381, 14892, 335, 1063, 1615, 1398, 433, 199, 567, 1479, 794, 325, 2219, 259, 731, 2823, 770, 18128, 286, 1334, 315, 694, 551, 322, 2434, 5869, 486, 259, 1475, 281, 199, 44, 1565, 353, 408, 6757, 465, 14396, 1385, 2900, 1079, 5882, 452, 13956, 508, 722, 35, 943, 335, 55, 1598, 1669, 2451, 40, 199, 6717, 3225, 362, 4626, 28392, 11970, 435, 11087, 876, 435, 776, 367, 1465, 440, 466, 31982, 2609, 288, 4420, 459, 322, 199, 23008, 1454, 7007, 400, 895, 4042, 277, 23584, 1812, 265, 1247, 43205, 828, 506, 24028, 10717, 605, 688, 396, 14225, 199, 24498, 7306, 3976, 605, 806, 274, 1548, 32273, 10382, 320, 418, 2779, 33007, 2439, 377, 12665 ]

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

[ 586, 2826, 636, 31596, 199, 448, 1009, 1810, 365, 9504, 6987, 21577, 4783, 6322, 359, 1362, 342, 16456, 16896, 3958, 9482, 37762, 13904, 199, 44, 4880, 13728, 28467, 365, 1622, 3537, 10704, 16711, 517, 7425, 7328, 325, 3451, 1328, 34046, 24215, 18873, 199, 911, 428, 31052, 1344, 593, 57, 817, 3592, 474, 268, 29921, 419, 17431, 431, 332, 2304, 2125, 1693, 28200, 4332, 534, 199, 684, 345, 1884, 22876, 359, 656, 1738, 1311, 413, 5347, 494, 19181, 301, 1308, 48765, 507, 34507, 1605, 584, 3139, 278, 199, 342, 1561, 2657, 2043, 414, 760, 9905, 9252, 636, 14759, 7404, 1162, 755, 5509, 3248, 354, 1250, 33115, 865, 274, 199, 2581, 288, 521, 17201, 625, 432, 319, 585, 44718, 373, 2288, 339, 564, 525, 3835, 592, 346, 1258, 398, 528, 6230, 628, 530, 33, 199, 276, 1730, 16233, 908, 11895, 2033, 51, 25680, 496, 26512, 317, 609, 638, 508, 5832, 318, 4032, 3508, 370, 8473, 498, 199, 27565, 382, 877, 261, 3261, 2129, 995, 2752, 757, 429, 678, 416, 6131, 3403, 1679, 5103, 2184, 1472, 361, 511, 893, 318, 199, 598, 365, 432, 8687, 917, 18404, 343, 439, 2030, 333, 28429, 570, 357, 1473, 5817, 257, 5019, 18957, 7059, 338, 7980, 199, 24691, 5384, 1787, 449, 6428, 497, 55, 2351, 1607, 661, 350, 37469, 7009, 1684, 339, 44341, 1341, 457, 668, 2901, 57, 199, 44, 558, 2492, 325, 3595, 15845, 2713, 272, 4646, 582, 553, 419, 3021, 45263, 1429, 416, 6403, 4672, 8192, 487, 21186, 199, 8246, 362, 5114, 347, 901, 293, 1978, 35, 917, 328, 442, 1589, 312, 5657, 643, 35, 1121, 938, 270, 694, 286, 956, 24645, 199, 14816, 371, 1402, 353, 5078, 358, 3906, 402, 8967, 516, 10476, 370, 1274, 8844, 7614, 4434, 285, 4505, 484, 28484, 199, 359, 1703, 24310, 199, 0, 199, 25001, 1421, 621, 271, 4589, 7738, 6045, 693, 4741, 360, 413, 2377, 715, 325, 6079, 845, 11033, 614, 360, 6077, 199, 51, 8386, 362, 1294, 351, 2227, 351, 360, 420, 9763, 1093, 881, 25419, 6580, 1111, 30961, 25499, 41309, 689, 373, 35, 199, 880, 473, 3218, 849, 845, 1362, 464, 2071, 22763, 335, 642, 5317, 328, 1382, 916, 788, 38345, 525, 3024, 22207, 199, 17660, 432, 504, 1206, 259, 21019, 1256, 1815, 656, 9469, 35830, 644, 15897, 5729, 1944, 337, 1522, 318, 1452, 1655, 199, 565, 37137, 1956, 474, 2778, 1438, 334, 4540, 25091, 44025, 1217, 12688, 972, 440, 19023, 556, 373, 4260, 323, 516, 199, 48145, 11530, 366, 23655, 1049, 348, 453, 295, 2795, 684, 1212, 3657, 3832, 426, 3823, 1231, 5527, 371, 1163, 492, 199, 6505, 346, 9110, 20683, 2032, 15417, 279, 415, 7853, 2257, 5663, 15431, 1471, 27028, 431, 578, 36839, 1301, 267, 199, 34687, 3746, 331, 6359, 359, 15653, 690, 343, 454, 7609, 2795, 29602, 47264, 477, 2463, 313, 1176, 350, 19046, 199, 44, 755, 497, 5393, 908, 4532, 982, 7001, 2336, 3976, 664, 26938, 924, 1817, 413, 9246, 410, 539, 3038, 998, 50, 199, 1398, 19432, 426, 1450, 323, 2626, 433, 2845, 6430, 10689, 593, 6073, 406, 6303, 533, 366, 757, 315, 1150, 1335, 36256, 199, 1327, 507, 295, 2741, 479, 7058 ]

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

[ 13833, 272, 1821, 3101, 503, 350, 908, 695, 435, 2287, 345, 1327, 318, 2934, 335, 570, 199, 4185, 11976, 299, 18995, 3072, 1201, 40266, 322, 596, 322, 3703, 2793, 12228, 541, 406, 893, 666, 301, 1449, 369, 199, 37, 471, 473, 344, 4585, 1592, 718, 1392, 3110, 33740, 8430, 314, 1253, 1237, 2617, 435, 792, 553, 3615, 776, 345, 2617, 199, 1012, 3085, 348, 4367, 3284, 463, 734, 1130, 1388, 258, 908, 371, 389, 762, 36717, 350, 46527, 357, 432, 4101, 322, 199, 1005, 258, 1114, 1381, 38211, 343, 401, 754, 5105, 8486, 746, 282, 984, 1163, 268, 46778, 1207, 44018, 2288, 343, 199, 41218, 17523, 3274, 39752, 31194, 1318, 4040, 1623, 389, 664, 11616, 21743, 2644, 28790, 7311, 330, 2076, 50, 199, 416, 24590, 1262, 318, 792, 507, 15983, 856, 6959, 763, 411, 2097, 1995, 300, 4824, 395, 487, 4702, 5055, 618, 199, 970, 315, 3498, 365, 893, 422, 14268, 277, 967, 414, 974, 3134, 266, 489, 333, 847, 2148, 313, 3749, 974, 394, 3048, 199, 12989, 7664, 908, 264, 5941, 8521, 639, 37164, 13913, 312, 6089, 40100, 3391, 16061, 45250, 514, 7679, 199, 631, 6203, 379, 199, 0, 199, 942, 347, 1151, 1895, 335, 10246, 520, 471, 1623, 19897, 4095, 546, 5476, 7940, 2361, 385, 9477, 334, 15649, 1181, 55, 199, 27518, 457, 2607, 802, 4850, 402, 666, 294, 568, 2832, 276, 1087, 572, 7879, 656, 462, 805, 433, 35258, 57, 1190, 23895, 374, 199, 379, 673, 405, 435, 293, 1196, 28920, 13558, 2359, 862, 1311, 3375, 1601, 9005, 5276, 272, 3100, 38448, 579, 41, 199, 298, 694, 348, 735, 464, 332, 949, 985, 2586, 27539, 4187, 26370, 1406, 299, 2336, 1355, 1044, 8012, 361, 2468, 782, 199, 11707, 380, 590, 1975, 24595, 470, 946, 1460, 265, 1448, 20059, 744, 266, 687, 459, 422, 7246, 3595, 733, 633, 16717, 199, 39, 11039, 7883, 402, 807, 2339, 455, 1932, 3161, 1827, 999, 4245, 47756, 1083, 877, 19673, 15199, 625, 429, 693, 199, 39, 12047, 739, 2893, 1058, 8847, 1450, 388, 2937, 452, 393, 386, 408, 2780, 1649, 1189, 1043, 7890, 417, 1391, 10231, 199, 1387, 13113, 1238, 1867, 8760, 699, 414, 261, 766, 330, 1313, 409, 635, 28774, 2303, 295, 1098, 2868, 8373, 273, 199, 681, 640, 18109, 1174, 15740, 8382, 388, 18658, 1475, 7979, 368, 467, 1631, 331, 643, 9741, 1764, 293, 16320, 580, 199, 13079, 5744, 365, 383, 449, 8420, 15442, 415, 1898, 491, 4734, 272, 1580, 262, 499, 19197, 623, 520, 1172, 373, 1702, 556, 283, 199, 708, 10885, 1942, 35, 1942, 703, 7481, 1031, 2926, 261, 580, 33483, 5711, 930, 419, 760, 1341, 4123, 623, 474, 258, 199, 608, 312, 1990, 1096, 846, 323, 385, 55, 1644, 743, 339, 1701, 10929, 2541, 360, 3871, 4061, 765, 769, 14291, 327, 695, 199, 1541, 743, 270, 1701, 348, 3969, 18087, 393, 694, 348, 1390, 2282, 455, 3624, 606, 342, 743, 270, 1701, 348, 2674, 33, 199, 28455, 451, 694, 348, 1390, 769, 14291, 327, 634, 1541, 743, 270, 1701, 10929, 2541, 360, 3871, 4061, 765, 769, 514, 199, 2090, 634, 1089, 743, 270, 1701, 348, 3969, 18087, 393, 694 ]

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

[ 348, 1390, 504, 14291, 5046, 36621, 743, 287, 1701, 49, 199, 18321, 2541, 360, 393, 694, 348, 1390, 5364, 709, 47742, 992, 1052, 332, 7972, 1596, 12334, 1032, 26129, 372, 694, 199, 26518, 9099, 1220, 613, 437, 3855, 269, 1024, 10521, 489, 1491, 406, 21139, 385, 8105, 334, 1463, 381, 857, 12865, 199, 280, 27898, 199, 0, 199, 432, 3569, 1306, 265, 412, 3182, 938, 486, 479, 333, 570, 301, 388, 366, 40653, 589, 1644, 300, 1553, 1905, 26806, 871, 199, 296, 902, 501, 25451, 7833, 3266, 16921, 1186, 749, 7763, 388, 3192, 557, 980, 279, 1967, 329, 1485, 557, 472, 199, 1528, 3875, 1110, 417, 421, 13884, 1887, 374, 474, 1980, 371, 612, 398, 1409, 23129, 8490, 427, 5647, 470, 28049, 292, 199, 1835, 314, 623, 296, 7798, 650, 18179, 909, 4133, 368, 2049, 5171, 31556, 393, 598, 14102, 1357, 13216, 325, 710, 371, 199, 855, 275, 1254, 335, 521, 816, 295, 1949, 484, 4715, 433, 1002, 1711, 3146, 320, 1243, 817, 257, 1662, 3142, 702, 415, 377, 199, 9635, 779, 1243, 3934, 372, 472, 350, 1918, 405, 4515, 2694, 16729, 458, 541, 4839, 448, 298, 11341, 1784, 379, 11651, 199, 713, 24012, 1715, 979, 438, 3292, 13177, 431, 434, 1490, 4465, 385, 400, 1781, 1189, 33985, 286, 946, 491, 5379, 33, 199, 13359, 1064, 3280, 320, 12383, 867, 10577, 295, 11153, 686, 25234, 449, 503, 5178, 1281, 1717, 36098, 2380, 14688, 199, 17510, 324, 3247, 1513, 5736, 33101, 4978, 572, 352, 44758, 1136, 269, 846, 318, 9902, 1377, 16390, 661, 2299, 33, 199, 1039, 3742, 1085, 15918, 14950, 477, 11536, 23999, 1138, 529, 13061, 685, 48226, 1369, 22159, 42781, 1648, 3279, 199, 29659, 5332, 568, 331, 4748, 407, 651, 1056, 463, 412, 690, 520, 436, 3874, 1190, 286, 5358, 1181, 1295, 286, 49710, 199, 1048, 853, 1537, 2467, 314, 9730, 1333, 620, 2499, 1524, 351, 679, 6126, 867, 790, 371, 8366, 627, 917, 354, 199, 295, 1168, 1260, 294, 8554, 319, 495, 21124, 1639, 12324, 40612, 10849, 17914, 904, 567, 704, 3410, 290, 2005, 555, 199, 495, 7983, 485, 6761, 11684, 38316, 890, 2676, 6580, 1490, 295, 1477, 421, 1116, 367, 1151, 20456, 688, 11820, 408, 199, 346, 6594, 3461, 1749, 26014, 14241, 971, 344, 529, 10272, 354, 548, 400, 3284, 797, 366, 1604, 1471, 6925, 546, 300, 199, 19060, 1879, 456, 4160, 592, 350, 29314, 1877, 30240, 314, 3970, 257, 856, 330, 1877, 498, 18443, 471, 48358, 2183, 199, 17687, 849, 369, 5384, 6540, 1285, 1245, 567, 2717, 9729, 2893, 680, 26963, 291, 3992, 299, 42005, 20156, 2772, 199, 1508, 517, 374, 1047, 282, 1423, 931, 34682, 18694, 7041, 390, 552, 8691, 835, 17173, 321, 1075, 330, 2290, 1992, 351, 199, 4002, 457, 724, 37368, 2111, 10032, 2522, 3354, 10602, 2323, 1812, 43395, 5109, 1220, 6239, 2615, 975, 337, 199, 15494, 532, 11722, 199, 0, 199, 2227, 617, 283, 650, 841, 259, 780, 1017, 46702, 749, 1175, 507, 3455, 448, 562, 795, 24738, 1432, 7056, 411, 1119, 199, 51, 3390, 2334, 6271, 357, 1874, 367, 1946, 683, 328, 10328, 42413, 1198, 605, 31354, 1534, 596, 14209, 1796, 406, 199 ]

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

[ 4251, 1168, 406, 433, 2515, 470, 421, 14643, 381, 6436, 24234, 341, 377, 1532, 3402, 322, 39655, 378, 16454, 1000, 464, 199, 341, 2317, 37508, 1921, 367, 18997, 11313, 269, 4260, 11162, 882, 1635, 841, 263, 1013, 356, 316, 2189, 2273, 470, 2908, 199, 1048, 265, 1300, 497, 578, 404, 17510, 539, 1467, 3235, 792, 282, 1253, 403, 1202, 350, 1083, 341, 1026, 3794, 1048, 479, 199, 8503, 574, 3722, 5605, 258, 1196, 312, 1595, 378, 2006, 12725, 16061, 1633, 933, 3277, 2250, 199, 19216, 11818, 8324, 20562, 611, 523, 3634, 510, 259, 767, 257, 946, 8580, 490, 1332, 39597, 22260, 399, 26173, 199, 1597, 1749, 21213, 2761, 398, 516, 936, 2772, 15418, 3369, 412, 8075, 1485, 421, 24085, 8076, 11676, 8132, 644, 52, 199, 25450, 407, 25451, 768, 23218, 1979, 24533, 2555, 16722, 330, 2821, 546, 1982, 5410, 433, 710, 35446, 946, 269, 199, 418, 2156, 1167, 605, 11243, 1186, 288, 731, 3422, 377, 1159, 974, 264, 2573, 288, 910, 1128, 7267, 496, 598, 400, 5534, 199, 14775, 538, 14989, 2768, 8638, 316, 1169, 292, 1466, 11781, 1304, 25714, 19868, 364, 3998, 10571, 1420, 327, 2367, 54, 199, 1174, 2479, 50, 2163, 13760, 19300, 3530, 467, 384, 297, 878, 438, 290, 1553, 344, 9575, 808, 527, 534, 437, 5530, 6210, 199, 2899, 496, 883, 6773, 412, 7220, 16083, 1652, 260, 839, 3001, 360, 320, 1204, 263, 706, 372, 485, 10933, 11812, 7565, 199, 44, 1474, 1147, 1650, 394, 648, 607, 7422, 343, 1768, 743, 1142, 465, 3917, 274, 2812, 354, 777, 380, 2721, 46927, 2089, 199, 2345, 358, 7153, 915, 2425, 14338, 2611, 437, 628, 313, 1809, 288, 6925, 1486, 261, 1541, 21554, 364, 554, 17182, 1401, 199, 19093, 819, 4662, 1828, 25378, 3249, 260, 1546, 270, 680, 2934, 263, 7508, 835, 338, 2778, 1899, 1364, 495, 333, 681, 199, 29056, 1670, 11809, 12010, 500, 9130, 1420, 711, 463, 3414, 41346, 12717, 781, 2889, 287, 1320, 1618, 1220, 706, 199, 24213, 1460, 29802, 625, 295, 1492, 818, 295, 759, 1391, 371, 9078, 18525, 36834, 1387, 497, 936, 299, 14181, 327, 199, 25257, 4728, 2904, 17394, 2127, 389, 14228, 1898, 45239, 2737, 426, 6871, 7071, 545, 265, 2981, 317, 10559, 45, 199, 438, 28471, 26456, 199, 0, 199, 2299, 387, 735, 325, 6440, 272, 2998, 332, 17679, 368, 1906, 386, 654, 1878, 290, 424, 2868, 438, 361, 2867, 801, 940, 199, 1618, 2567, 894, 6955, 3271, 55, 794, 275, 1809, 1698, 11505, 15472, 346, 28762, 1136, 39153, 382, 717, 513, 39191, 199, 459, 257, 5895, 605, 13229, 9259, 1825, 2058, 291, 796, 730, 265, 439, 395, 1191, 265, 726, 261, 1797, 1327, 8982, 6875, 199, 44, 22761, 360, 435, 2181, 642, 450, 406, 7146, 1994, 562, 1429, 2016, 433, 437, 20402, 11435, 634, 448, 41625, 14066, 199, 1511, 7576, 423, 1192, 282, 783, 20310, 796, 6501, 372, 616, 261, 2176, 269, 790, 6116, 434, 3059, 5934, 405, 474, 436, 199, 261, 503, 568, 3622, 331, 385, 1505, 875, 323, 1387, 1841, 20663, 551, 12001, 4743, 265, 1212, 1193, 295, 974, 22093, 199, 39918, 2058, 736, 9263, 405, 2330, 3457, 661, 20669, 1359 ]

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

[ 571, 3577, 1801, 260, 1088, 656, 258, 2489, 270, 1604, 458, 199, 316, 31396, 4805, 389, 17261, 1015, 377, 805, 292, 429, 4968, 712, 440, 391, 30934, 1172, 389, 717, 47461, 403, 5288, 561, 199, 1168, 9131, 5760, 465, 12595, 16065, 802, 978, 2838, 541, 430, 613, 2310, 272, 4244, 3793, 437, 907, 801, 1880, 199, 1547, 2114, 612, 1087, 17824, 496, 505, 3080, 606, 260, 1993, 9908, 1314, 41134, 2685, 405, 20783, 364, 5146, 3284, 533, 199, 39618, 18467, 3683, 25731, 9081, 756, 420, 1456, 282, 1431, 1549, 25550, 920, 2456, 1812, 598, 2823, 2324, 2301, 199, 5879, 799, 410, 2308, 18069, 1583, 5594, 363, 4572, 467, 14546, 1293, 466, 1752, 315, 2075, 1390, 2627, 1311, 466, 199, 44, 512, 1474, 5654, 278, 792, 2312, 8992, 7255, 575, 655, 558, 643, 434, 4884, 452, 689, 260, 790, 275, 2313, 369, 1197, 54, 199, 1479, 572, 22877, 2211, 272, 2816, 269, 1738, 9386, 22451, 23561, 941, 323, 3421, 451, 687, 389, 34081, 13428, 199, 3354, 1581, 6106, 12486, 1275, 374, 5686, 318, 1320, 695, 7466, 416, 2531, 14148, 606, 335, 27312, 19609, 628, 199, 610, 1485, 1494, 288, 38010, 4791, 12707, 274, 830, 527, 1477, 515, 4907, 1612, 723, 377, 1312, 8416, 280, 2012, 33, 199, 401, 4083, 42955, 10722, 420, 525, 608, 9747, 275, 617, 389, 2107, 1146, 13011, 10933, 340, 839, 17447, 1132, 10344, 199, 301, 831, 39794, 423, 601, 7627, 346, 453, 11197, 3652, 1693, 11257, 269, 1310, 317, 4388, 387, 4236, 263, 1104, 21287, 199, 361, 3676, 317, 862, 378, 4449, 2020, 542, 301, 454, 870, 325, 6637, 663, 356, 1165, 26807, 870, 337, 1055, 385, 1954, 199, 5715, 272, 2982, 199, 0, 199, 2021, 1365, 969, 2669, 15960, 275, 1060, 444, 2504, 7213, 312, 7385, 378, 658, 7606, 1293, 932, 292, 970, 277, 199, 1017, 327, 5900, 799, 24046, 1350, 290, 10847, 760, 430, 419, 29893, 11075, 1540, 5313, 44792, 1720, 334, 6874, 199, 2329, 3975, 27934, 596, 2488, 3126, 343, 889, 509, 4473, 325, 514, 19736, 735, 288, 430, 529, 812, 12118, 338, 199, 481, 1884, 1884, 7165, 7009, 23070, 314, 7454, 17704, 544, 786, 5003, 522, 531, 7033, 15726, 10153, 28570, 199, 335, 537, 1150, 4457, 22402, 355, 578, 4033, 1442, 741, 318, 1252, 10389, 36874, 23052, 415, 833, 480, 3932, 265, 199, 412, 10254, 9877, 2021, 572, 279, 3545, 715, 400, 3479, 327, 11804, 21819, 17078, 6695, 3479, 390, 3479, 327, 199, 327, 5919, 4357, 1851, 6427, 8119, 817, 553, 5105, 460, 618, 330, 1043, 5052, 12781, 2261, 2520, 25955, 7892, 199, 6895, 325, 762, 483, 4829, 776, 8082, 940, 315, 680, 1228, 315, 385, 1166, 846, 13568, 752, 264, 34229, 958, 199, 34229, 7608, 530, 13682, 3798, 376, 6522, 676, 3583, 314, 1189, 342, 679, 333, 1455, 442, 11885, 1224, 199, 13759, 3024, 858, 5234, 8116, 1099, 1050, 295, 28260, 4027, 578, 11480, 355, 517, 3390, 326, 609, 1585, 629, 313, 199, 21584, 540, 400, 11396, 22038, 336, 16448, 9263, 570, 2706, 764, 423, 4707, 1592, 1119, 3094, 5920, 265, 4192, 199, 44, 1118, 2132, 1565, 1773, 1049, 397, 341, 613, 1559, 885 ]

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

[ 1278, 2008, 5331, 329, 7729, 694, 444, 1629, 614, 347, 3037, 199, 278, 1362, 744, 274, 549, 329, 7800, 813, 24833, 2012, 319, 573, 817, 266, 2906, 40114, 28185, 995, 2899, 870, 313, 199, 19671, 2172, 634, 405, 2177, 257, 876, 3280, 18608, 611, 23226, 817, 3358, 18167, 10025, 527, 425, 411, 11057, 199, 23006, 363, 777, 5654, 6187, 12872, 3644, 513, 319, 615, 712, 380, 1363, 12583, 421, 3139, 16954, 15131, 5602, 569, 199, 24082, 10233, 963, 14429, 690, 43750, 5238, 316, 2737, 15132, 366, 10144, 14919, 580, 17856, 3032, 1152, 318, 199, 2472, 13747, 817, 11990, 323, 5836, 775, 362, 32405, 660, 378, 8240, 1895, 420, 516, 13728, 301, 12045, 334, 8009, 199, 11209, 798, 4185, 16688, 393, 2580, 32744, 2809, 2175, 3880, 614, 342, 532, 7478, 3175, 4931, 656, 6610, 663, 199, 739, 380, 990, 324, 797, 1551, 3305, 576, 13266, 260, 1011, 1212, 458, 40257, 599, 266, 1002, 274, 792, 18861, 324, 597, 199, 55, 6816, 21577, 199, 0, 199, 48026, 9021, 354, 10774, 420, 683, 4878, 576, 370, 12124, 463, 5394, 546, 596, 351, 415, 1246, 30983, 2914, 1941, 199, 17313, 359, 1643, 25506, 3616, 372, 4500, 732, 16168, 437, 324, 1705, 1381, 626, 39602, 37664, 2123, 4742, 9955, 342, 199, 3829, 3357, 447, 437, 948, 551, 413, 35, 1205, 568, 924, 36, 626, 10168, 40868, 617, 423, 1660, 38784, 9536, 1643, 290, 4574, 199, 1910, 11220, 2780, 25980, 12570, 619, 3839, 264, 612, 11135, 3331, 433, 35, 1915, 342, 3829, 635, 36888, 421, 319, 1320, 199, 650, 277, 748, 3167, 626, 15580, 10922, 773, 603, 596, 369, 1822, 395, 597, 4574, 499, 673, 732, 437, 38913, 11667, 35, 199, 37100, 1754, 291, 4580, 1852, 650, 3246, 1864, 28871, 395, 913, 491, 2373, 859, 619, 331, 32469, 3578, 291, 626, 23140, 199, 573, 28392, 588, 389, 886, 28871, 395, 1731, 497, 670, 16259, 839, 42244, 415, 1617, 568, 2105, 372, 555, 19459, 879, 497, 199, 37, 22473, 3829, 1171, 39807, 9172, 731, 44208, 34288, 415, 19435, 626, 6516, 3430, 291, 3331, 433, 1301, 979, 3829, 199, 1091, 4574, 390, 2432, 744, 650, 277, 748, 3167, 384, 16034, 10922, 773, 603, 6017, 19632, 1643, 290, 555, 437, 37512, 199, 732, 43729, 773, 8240, 626, 273, 1057, 1566, 30424, 26985, 762, 11483, 15578, 23885, 3829, 1089, 491, 3820, 42447, 199, 10369, 25980, 617, 1391, 45269, 3799, 3985, 3615, 575, 486, 391, 9536, 1643, 5427, 3400, 29990, 1889, 384, 708, 4280, 199, 1508, 626, 329, 518, 8000, 415, 503, 268, 2366, 342, 748, 659, 2783, 549, 327, 8447, 15553, 31117, 511, 46958, 670, 23140, 199, 573, 12239, 588, 361, 8790, 2218, 16026, 1643, 453, 412, 673, 290, 5146, 688, 437, 935, 626, 277, 2276, 873, 453, 327, 1622, 199, 2366, 9536, 1643, 290, 555, 437, 421, 31468, 568, 1848, 617, 23658, 2972, 756, 5535, 3976, 328, 517, 1421, 342, 3829, 1290, 199, 4574, 334, 2200, 20479, 2894, 367, 453, 2873, 626, 5514, 11134, 330, 588, 10546, 15057, 829, 264, 3839, 2722, 580, 23806, 199, 3325, 32616, 568, 36085, 626, 277, 1429, 969, 617, 7832, 413, 2310, 359, 1501, 299, 617 ]

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

[ 520, 1535, 319, 579, 568, 609, 54, 199, 604, 898, 18965, 38631, 1354, 384, 1431, 318, 15432, 555, 10121, 19453, 759, 2492, 364, 2694, 519, 5591, 542, 2691, 199, 33594, 1000, 1248, 752, 264, 22432, 1247, 368, 2271, 377, 716, 335, 1501, 2176, 3751, 398, 604, 8898, 597, 290, 541, 273, 199, 415, 24412, 650, 277, 3954, 5408, 49175, 986, 38958, 39341, 1908, 28649, 3796, 578, 1971, 440, 431, 36697, 14117, 199, 1256, 2960, 2920, 199, 0, 199, 852, 472, 17127, 902, 48, 1241, 269, 752, 334, 618, 3428, 25105, 875, 393, 18626, 1026, 1398, 747, 371, 550, 1159, 199, 37, 3096, 7168, 401, 7635, 2067, 573, 14199, 539, 1335, 326, 1641, 29442, 1000, 1089, 762, 495, 19123, 578, 38588, 199, 10174, 827, 438, 331, 3644, 5764, 400, 377, 48053, 926, 1986, 33116, 1214, 20621, 1318, 41938, 3072, 12377, 199, 3605, 1524, 258, 870, 26381, 23292, 857, 392, 501, 401, 8195, 600, 508, 331, 498, 3568, 7021, 1142, 379, 28786, 199, 1235, 274, 2007, 286, 702, 5970, 5924, 478, 4945, 494, 14216, 392, 657, 48611, 3012, 10841, 1669, 1783, 513, 672, 199, 824, 755, 1630, 35113, 523, 358, 404, 28861, 372, 1201, 415, 3367, 2807, 1203, 324, 1649, 1369, 271, 851, 3172, 3379, 199, 30523, 566, 462, 586, 24909, 421, 1049, 1078, 18743, 491, 9876, 3744, 12617, 2294, 3402, 450, 14874, 727, 366, 3590, 199, 1687, 613, 286, 996, 1343, 24802, 4160, 652, 295, 2536, 417, 10058, 265, 991, 265, 2171, 278, 830, 687, 370, 412, 10301, 199, 274, 814, 1750, 573, 30257, 12158, 386, 1712, 318, 1373, 3272, 464, 1079, 664, 342, 1078, 481, 553, 1255, 625, 5947, 270, 199, 42251, 604, 364, 876, 681, 9753, 383, 8853, 5832, 314, 1257, 486, 466, 25202, 940, 2613, 672, 12309, 1216, 9105, 199, 291, 1424, 1496, 331, 378, 578, 5763, 474, 7305, 398, 371, 40998, 2519, 479, 3121, 259, 1312, 3252, 1701, 1640, 43877, 199, 2615, 15646, 895, 1200, 17170, 1014, 294, 498, 9324, 23190, 8829, 581, 268, 679, 282, 1091, 25993, 463, 37749, 45, 199, 39455, 2047, 430, 864, 358, 511, 1936, 4695, 355, 3210, 23222, 4133, 11262, 644, 414, 4771, 923, 343, 537, 199, 8315, 586, 5376, 3582, 344, 1496, 379, 2856, 12169, 13986, 360, 408, 3217, 269, 641, 29327, 878, 5930, 1184, 315, 199, 553, 380, 10591, 743, 1319, 292, 422, 418, 2032, 1833, 1483, 813, 2512, 854, 1944, 8606, 509, 259, 966, 558, 265, 1026, 38, 199, 9407, 463, 3435, 21445, 5786, 26784, 608, 551, 906, 327, 907, 3503, 326, 1381, 507, 966, 510, 1278, 490, 400, 493, 40, 199, 29764, 350, 393, 708, 24858, 540, 2280, 18237, 372, 1612, 8698, 2662, 3045, 3761, 1449, 1592, 271, 3558, 336, 1274, 199, 44, 2899, 639, 4386, 1402, 609, 435, 270, 11558, 3599, 26466, 488, 17505, 17512, 3674, 11222, 43, 199, 0, 199, 2639, 446, 19919, 9857, 618, 263, 1358, 5975, 270, 1966, 1173, 32179, 14225, 1108, 268, 1763, 10988, 342, 31775, 4107, 199, 495, 8176, 589, 6426, 267, 976, 3178, 728, 579, 582, 350, 19374, 803, 1338, 362, 2766, 4802, 495, 945, 276, 199, 20840, 374, 4397, 27065, 1246, 7085 ]

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

[ 12065, 383, 696, 4447, 785, 1246, 747, 5772, 358, 374, 523, 266, 958, 264, 199, 1246, 329, 1331, 266, 1211, 374, 616, 4447, 405, 315, 1246, 945, 276, 1194, 379, 1611, 1014, 293, 510, 1246, 11026, 6483, 199, 855, 10076, 644, 12850, 1500, 4432, 765, 2876, 717, 22088, 2152, 12779, 8054, 765, 12779, 2876, 765, 199, 12779, 2876, 31254, 12779, 2876, 937, 266, 5223, 1436, 2821, 381, 510, 1908, 276, 1054, 489, 28581, 1140, 199, 32379, 368, 8860, 352, 1368, 10377, 1371, 41647, 3709, 880, 276, 1119, 976, 7662, 367, 6378, 2195, 937, 47007, 199, 426, 47264, 278, 578, 1841, 327, 5545, 3034, 4185, 371, 4185, 926, 779, 526, 8264, 578, 4717, 534, 578, 199, 360, 3030, 779, 476, 3030, 779, 1257, 556, 5986, 313, 556, 5986, 313, 556, 578, 459, 578, 4227, 486, 578, 199, 274, 2538, 1300, 8423, 1864, 4739, 10770, 5997, 589, 331, 528, 297, 1939, 748, 335, 6046, 709, 444, 541, 2840, 297, 199, 766, 380, 2630, 617, 1755, 1444, 885, 1100, 2112, 376, 740, 28913, 6460, 40104, 952, 343, 1678, 396, 22468, 33791, 199, 29327, 2145, 892, 1405, 1417, 272, 875, 313, 1358, 15791, 33488, 6515, 17454, 976, 537, 326, 959, 923, 6609, 199, 1152, 327, 1219, 40983, 1827, 12304, 44587, 4185, 10533, 3218, 31601, 20772, 1625, 9805, 12304, 5986, 52, 199, 31048, 359, 779, 1822, 1137, 965, 1900, 2578, 317, 406, 15713, 1277, 367, 36002, 48855, 868, 372, 558, 359, 2105, 464, 38, 199, 433, 18798, 21831, 567, 4365, 39317, 448, 278, 973, 790, 2467, 421, 1270, 541, 672, 47364, 4509, 481, 20898, 6003, 199, 759, 29089, 423, 10062, 8855, 340, 26575, 11744, 6800, 830, 385, 1081, 8003, 33729, 340, 1130, 447, 10737, 449, 199, 20841, 328, 1265, 1582, 413, 380, 1417, 2557, 33729, 4747, 9201, 29401, 30858, 535, 413, 946, 488, 338, 2778, 340, 1379, 199, 36, 558, 387, 19121, 11991, 11459, 5939, 387, 30092, 1687, 20199, 963, 13239, 412, 3019, 444, 6079, 390, 393, 1939, 199, 1097, 31404, 625, 604, 3569, 49133, 2622, 328, 1579, 13163, 497, 2982, 476, 6455, 6223, 898, 300, 568, 34929, 756, 199, 36940, 2441, 383, 35, 199, 0, 199, 1633, 5399, 5666, 1448, 6187, 1318, 1895, 11462, 288, 3126, 313, 1012, 453, 11939, 959, 3681, 360, 1444, 30184, 199, 406, 5293, 596, 940, 427, 1328, 331, 1497, 367, 626, 394, 5056, 590, 313, 1645, 4674, 272, 12357, 301, 3008, 1895, 367, 559, 199, 578, 20391, 2182, 337, 490, 9508, 372, 12951, 282, 930, 1271, 295, 1618, 265, 596, 430, 1475, 377, 15947, 387, 14739, 199, 1275, 367, 8074, 402, 2713, 404, 596, 10345, 27127, 20167, 365, 1351, 9784, 1184, 1162, 11657, 1812, 25177, 2335, 199, 18584, 1313, 1026, 17293, 1314, 496, 8036, 4268, 571, 355, 2791, 766, 295, 1190, 440, 343, 3968, 265, 779, 977, 404, 199, 282, 439, 586, 551, 9887, 584, 510, 333, 1275, 34869, 895, 527, 387, 3391, 9797, 440, 2860, 1017, 294, 6282, 2250, 199, 28205, 457, 50002, 2465, 28038, 17047, 421, 649, 4847, 3247, 984, 370, 402, 738, 299, 1455, 273, 1001, 295, 2098, 33, 199, 10704, 39935, 22467, 2135, 1493, 667, 5550, 1325 ]

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

[ 2908, 340, 547, 19115, 762, 483, 1037, 1021, 20652, 318, 606, 327, 199, 27448, 6261, 376, 2091, 13084, 282, 986, 423, 2371, 282, 3802, 830, 452, 333, 2575, 32275, 400, 673, 744, 7131, 199, 2818, 7910, 8928, 37806, 1800, 362, 24511, 2761, 2861, 4869, 323, 8535, 514, 3916, 1983, 12170, 940, 1191, 199, 19855, 734, 9497, 3419, 398, 423, 935, 263, 984, 2795, 2508, 6233, 411, 578, 350, 37508, 877, 350, 507, 382, 556, 199, 16290, 1129, 777, 289, 509, 389, 29733, 605, 331, 1257, 316, 726, 4259, 535, 16819, 5459, 4690, 357, 3922, 440, 710, 4360, 199, 37, 539, 1093, 296, 1468, 1058, 13721, 38, 690, 5702, 422, 1264, 11927, 1503, 353, 485, 445, 3015, 420, 2121, 3774, 1180, 516, 199, 51, 3068, 631, 13143, 1253, 261, 2199, 344, 5201, 704, 12905, 3034, 1580, 521, 11533, 1514, 6039, 1372, 407, 14355, 199, 51, 458, 1889, 7344, 22890, 8807, 1735, 313, 1301, 9690, 34382, 3649, 404, 1189, 1024, 398, 787, 41526, 33984, 199, 30807, 312, 862, 539, 356, 2168, 9078, 327, 1736, 9823, 18944, 4618, 2909, 11265, 608, 12940, 975, 317, 1043, 2938, 199, 11388, 1618, 596, 2954, 576, 389, 2425, 11005, 975, 23557, 465, 2002, 295, 1645, 332, 7704, 1311, 14395, 1277, 1079, 199, 3626, 20956, 697, 360, 318, 5819, 591, 13594, 503, 49622, 14722, 6064, 1119, 327, 634, 30133, 2019, 4185, 275, 199, 18579, 11715, 1026, 11276, 1762, 2898, 510, 12645, 40, 985, 367, 646, 1793, 340, 1068, 345, 1113, 941, 883, 371, 2645, 199, 879, 23802, 295, 199, 0, 199, 419, 32695, 29201, 598, 2071, 2155, 513, 35308, 432, 2240, 9180, 26204, 3472, 293, 7216, 365, 552, 2263, 22225, 321, 199, 330, 754, 581, 261, 891, 337, 487, 9323, 864, 754, 412, 6423, 1132, 2819, 892, 372, 1264, 2560, 3709, 15107, 298, 199, 27429, 447, 3500, 316, 5000, 21813, 1016, 19098, 767, 24081, 21986, 1444, 281, 4063, 417, 520, 351, 5417, 800, 396, 199, 497, 5097, 620, 23512, 353, 1878, 44741, 5646, 451, 1503, 8196, 7999, 1152, 27606, 381, 14270, 3411, 698, 1550, 199, 12807, 314, 592, 2372, 1095, 11039, 2675, 4402, 3701, 293, 1721, 1373, 508, 343, 541, 18117, 2814, 1144, 1151, 199, 384, 1442, 48711, 337, 1027, 30843, 508, 283, 1450, 546, 2811, 452, 12720, 2919, 23696, 14673, 499, 2671, 427, 2852, 54, 199, 51, 5291, 2038, 1020, 35685, 805, 624, 8272, 343, 758, 5131, 409, 2747, 6793, 1630, 713, 444, 1338, 300, 632, 43, 199, 27682, 697, 4881, 1083, 866, 11715, 488, 16436, 741, 315, 1186, 3559, 561, 3236, 16231, 286, 437, 36943, 31536, 199, 10414, 337, 4265, 647, 262, 1577, 1471, 5348, 23877, 5013, 345, 2050, 804, 5999, 355, 38466, 4070, 12576, 270, 199, 342, 1775, 28561, 2238, 30248, 9818, 339, 612, 1758, 2628, 4397, 807, 1279, 359, 12913, 352, 39622, 3744, 269, 1859, 199, 2107, 1156, 3890, 8230, 2609, 9615, 606, 558, 2990, 19252, 6274, 9880, 976, 18391, 1111, 750, 1191, 384, 12704, 199, 289, 558, 2696, 43090, 947, 45395, 976, 18391, 5427, 750, 1191, 384, 16981, 376, 558, 2990, 19252, 947, 23937, 285, 199, 51, 18391, 906, 750, 1191, 384, 813, 428, 431 ]

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

[ 585, 398, 19252, 947, 23937, 976, 18391, 1111, 750, 291, 2609, 12704, 199, 40384, 585, 398, 19252, 947, 23937, 976, 18391, 1111, 750, 1191, 384, 925, 428, 431, 585, 398, 19252, 947, 8878, 285, 199, 515, 344, 1526, 57, 750, 1191, 384, 925, 428, 431, 585, 398, 19252, 947, 23937, 976, 18391, 1111, 750, 291, 2609, 12704, 199, 376, 558, 2696, 19252, 947, 8878, 15789, 344, 1526, 38889, 1191, 384, 3610, 3084, 585, 398, 19252, 947, 23937, 285, 199, 51, 18391, 5427, 750, 1191, 384, 925, 428, 431, 585, 398, 19252, 947, 23937, 15789, 8121, 1111, 17451, 314, 384, 12704, 199, 40384, 585, 398, 19252, 947, 23937, 976, 18391, 1111, 750, 1191, 384, 1023, 428, 431, 585, 398, 19252, 947, 23937, 285, 199, 37654, 24264, 1503, 282, 2609, 925, 414, 387, 3074, 199, 0, 199, 2021, 327, 723, 554, 370, 983, 462, 2476, 1380, 49072, 344, 17315, 1812, 574, 794, 385, 5283, 378, 1572, 21689, 10489, 353, 199, 1695, 607, 961, 2849, 435, 374, 11996, 2386, 992, 322, 594, 740, 5226, 681, 326, 2574, 382, 32821, 485, 1757, 435, 3446, 199, 12329, 574, 409, 9066, 952, 314, 418, 459, 1583, 3107, 1054, 288, 1983, 18739, 328, 2004, 968, 431, 849, 294, 1060, 949, 199, 300, 657, 328, 528, 543, 1868, 271, 547, 7631, 370, 26908, 9156, 1324, 40981, 29954, 416, 316, 1168, 11273, 276, 2479, 43, 199, 347, 1360, 329, 725, 16035, 298, 868, 4510, 2649, 1370, 261, 2673, 518, 610, 2325, 352, 525, 37910, 12657, 387, 845, 199, 288, 527, 1775, 546, 26868, 288, 931, 463, 291, 3189, 42884, 44453, 8165, 871, 355, 1308, 35419, 10643, 440, 262, 16906, 199, 438, 819, 608, 1745, 886, 393, 3217, 448, 575, 396, 1751, 333, 40530, 968, 379, 822, 2131, 352, 28666, 504, 259, 1457, 38, 199, 408, 3212, 891, 2187, 4017, 427, 1151, 1124, 335, 528, 2289, 266, 1657, 268, 1586, 1065, 46065, 2036, 507, 5601, 423, 199, 8624, 1086, 356, 382, 2089, 5324, 382, 1674, 653, 2077, 5459, 9252, 475, 11678, 616, 3068, 1238, 319, 6612, 270, 199, 1715, 38275, 4966, 544, 21136, 757, 404, 5097, 619, 524, 8527, 537, 2801, 548, 442, 981, 13393, 25354, 1316, 49, 199, 1124, 339, 10598, 450, 1748, 375, 1929, 822, 828, 375, 1196, 15825, 740, 451, 325, 6243, 1929, 570, 377, 523, 6424, 199, 44, 6518, 1090, 816, 370, 2191, 3416, 387, 6697, 373, 1138, 433, 7002, 628, 12261, 1201, 530, 408, 526, 375, 6268, 259, 199, 602, 260, 1344, 419, 1200, 48457, 4088, 260, 1766, 6937, 1498, 836, 398, 387, 393, 767, 3133, 589, 334, 4565, 2425, 296, 199, 39, 16133, 30812, 552, 2046, 485, 17844, 430, 2178, 1963, 294, 5040, 40, 1485, 296, 485, 464, 3559, 29295, 3054, 4346, 199, 899, 769, 6616, 652, 1455, 1419, 2897, 18160, 3095, 350, 1863, 42277, 5930, 417, 369, 539, 1200, 17418, 878, 199, 3641, 266, 1376, 2091, 10299, 912, 285, 15988, 1067, 49970, 1168, 21821, 10201, 561, 895, 5393, 8586, 1126, 46, 199, 483, 374, 562, 4805, 1423, 34732, 10549, 333, 423, 1645, 276, 795, 1220, 1387, 276, 1090, 285, 5064, 517, 327, 1119, 43, 199 ]

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

[ 8493, 490, 11305, 1179, 1331, 285, 1056, 708, 29562, 469, 664, 463, 10862, 427, 432, 4328, 18292, 387, 752, 7487, 199, 6017, 326, 7107, 2183, 400, 364, 18370, 658, 285, 1223, 694, 23139, 967, 2162, 4462, 1889, 6662, 3542, 539, 199, 1596, 386, 612, 505, 199, 0, 199, 475, 2289, 997, 16854, 1334, 404, 1215, 374, 578, 45358, 346, 20881, 1699, 277, 2283, 1317, 499, 384, 1726, 7427, 300, 199, 293, 453, 1617, 829, 347, 25883, 346, 290, 909, 5518, 425, 539, 1021, 11774, 25638, 477, 5747, 508, 1952, 11048, 270, 199, 1055, 8016, 1981, 1326, 265, 2779, 17405, 499, 5991, 340, 495, 3257, 2010, 414, 848, 49281, 31583, 547, 1926, 277, 797, 199, 39, 797, 340, 37993, 1532, 46, 2654, 264, 873, 517, 14001, 1493, 26669, 655, 274, 1329, 4240, 16806, 268, 850, 48, 935, 294, 199, 284, 1239, 15604, 8875, 1871, 464, 320, 969, 638, 268, 1878, 363, 943, 425, 2647, 18450, 4980, 30353, 17021, 2246, 41, 199, 444, 382, 6158, 4864, 578, 271, 1825, 340, 491, 687, 408, 943, 22623, 453, 18763, 1032, 12159, 391, 929, 1473, 541, 40, 199, 448, 330, 928, 22091, 393, 5604, 352, 2963, 496, 372, 382, 575, 3010, 2046, 2794, 3733, 393, 520, 1000, 3706, 1977, 6354, 199, 11448, 24902, 2879, 299, 1175, 396, 336, 5092, 799, 609, 338, 1466, 12442, 297, 1270, 272, 4073, 714, 5901, 3376, 267, 199, 313, 474, 433, 7641, 491, 12492, 3385, 276, 1225, 378, 13507, 2138, 282, 2073, 21690, 1042, 887, 276, 3529, 353, 6182, 199, 393, 27857, 832, 634, 6907, 323, 12341, 740, 427, 376, 1063, 528, 943, 5963, 35618, 1326, 445, 3051, 2090, 1721, 199, 27624, 16008, 2015, 400, 771, 2210, 354, 12366, 27204, 451, 29011, 422, 27711, 27584, 1411, 3578, 3188, 7165, 41, 199, 316, 2834, 11648, 1353, 542, 334, 376, 1099, 390, 1009, 1360, 38100, 589, 447, 5320, 34090, 1111, 277, 3314, 29230, 199, 501, 3125, 2173, 377, 19947, 16654, 365, 1326, 413, 37166, 1977, 532, 2107, 36477, 1224, 380, 44296, 9638, 267, 2830, 199, 392, 36253, 932, 376, 3814, 19337, 1577, 497, 7536, 260, 1276, 1117, 286, 1616, 4054, 46450, 1782, 1000, 407, 874, 43, 199, 454, 3327, 531, 2972, 965, 367, 7406, 22051, 897, 27079, 2863, 11340, 1267, 1516, 954, 33150, 1395, 739, 19386, 199, 19096, 18395, 291, 546, 7056, 459, 408, 844, 7396, 330, 1314, 4676, 407, 16657, 3054, 1450, 352, 1224, 281, 916, 199, 1519, 440, 10233, 492, 8897, 383, 4195, 3239, 2590, 368, 413, 5945, 837, 7916, 1181, 591, 265, 599, 421, 44878, 39437, 199, 6069, 386, 2560, 1499, 2010, 341, 1316, 493, 371, 9698, 5517, 592, 1078, 1219, 359, 716, 464, 1599, 411, 642, 15508, 199, 1130, 819, 1052, 271, 2097, 367, 11748, 35, 787, 816, 331, 26997, 1528, 337, 527, 901, 5233, 7068, 282, 855, 614, 199, 11662, 349, 1797, 199, 0, 199, 419, 2529, 3144, 496, 709, 418, 330, 20077, 740, 583, 9993, 862, 905, 4006, 11246, 2419, 291, 2947, 3141, 38432, 199, 9477, 2164, 322, 644, 15289, 11177, 7147, 11935, 17808, 478, 2864, 387, 9828, 884, 891, 49704, 4919, 284, 199, 48487, 999, 2872, 8816 ]

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

[ 2504, 835, 340, 5392, 815, 291, 1387, 340, 2525, 335, 8222, 531, 537, 1011, 9712, 430, 199, 44, 1015, 2349, 527, 386, 13785, 1144, 2173, 3021, 446, 4515, 1150, 298, 1727, 297, 2252, 322, 9015, 11678, 283, 910, 199, 1974, 5339, 8717, 959, 35620, 1116, 6731, 543, 527, 280, 1334, 257, 2534, 410, 20696, 562, 3014, 294, 1163, 2281, 199, 462, 43176, 710, 28223, 1332, 5128, 612, 467, 8881, 441, 11414, 2335, 2896, 426, 545, 336, 832, 14977, 11451, 389, 199, 890, 426, 1701, 2923, 289, 1275, 2619, 454, 15310, 46098, 291, 2569, 347, 1365, 299, 1176, 3428, 5282, 812, 471, 4395, 199, 908, 2053, 761, 5301, 491, 2477, 619, 2369, 927, 48173, 14575, 378, 1601, 664, 22787, 895, 1895, 287, 599, 33, 199, 26383, 856, 10498, 718, 358, 43878, 2064, 279, 1252, 323, 474, 326, 10191, 18005, 6322, 742, 2145, 3203, 663, 436, 199, 44, 1467, 18070, 2341, 263, 580, 1009, 883, 334, 17672, 2075, 878, 34890, 13831, 1153, 1530, 32982, 367, 473, 590, 199, 45882, 7399, 691, 596, 383, 17730, 495, 1191, 7178, 287, 2076, 429, 743, 4457, 10553, 494, 3964, 815, 39565, 199, 9874, 1787, 1847, 690, 2284, 5743, 551, 394, 1145, 9505, 1655, 292, 6280, 385, 13771, 1645, 37163, 12266, 44320, 199, 4779, 471, 875, 375, 9363, 2813, 1646, 374, 37996, 2741, 487, 335, 841, 3873, 732, 18753, 7510, 6644, 199, 1475, 1044, 17668, 14576, 24337, 2199, 12735, 1199, 367, 38960, 8224, 14578, 2683, 758, 327, 1311, 875, 14266, 199, 19785, 2999, 7007, 744, 1449, 19831, 283, 4111, 4883, 351, 7837, 319, 2359, 369, 10184, 992, 10445, 1300, 398, 199, 8407, 10047, 21565, 27177, 732, 28476, 46160, 1168, 555, 8136, 405, 981, 29443, 13172, 6002, 563, 7399, 460, 199, 2410, 356, 985, 3690, 9083, 966, 1116, 263, 1271, 334, 28676, 1953, 3537, 1149, 266, 507, 1869, 4366, 406, 1655, 199, 481, 12291, 4944, 407, 693, 2342, 334, 376, 807, 1936, 12844, 4303, 382, 1635, 18060, 687, 1639, 409, 715, 592, 199, 728, 369, 635, 677, 22207, 1026, 16759, 337, 1216, 1335, 2948, 2527, 461, 816, 355, 1440, 361, 199, 0, 199, 385, 16531, 10821, 15500, 397, 2758, 42472, 315, 10593, 471, 2135, 650, 275, 592, 4112, 568, 353, 1362, 774, 364, 33400, 199, 599, 401, 1272, 30690, 612, 359, 470, 344, 540, 8124, 472, 424, 750, 521, 688, 2845, 370, 387, 497, 3806, 826, 551, 2016, 54, 199, 425, 39387, 20600, 418, 3504, 355, 20537, 733, 17305, 291, 818, 5710, 274, 1797, 2895, 496, 4867, 366, 2542, 1952, 21243, 199, 577, 22239, 828, 4543, 45122, 2431, 329, 608, 377, 615, 440, 1256, 3864, 2930, 521, 504, 1185, 3751, 5908, 453, 7525, 199, 3189, 398, 287, 1036, 595, 806, 298, 13643, 1369, 449, 939, 330, 1363, 19806, 1418, 337, 5452, 315, 43465, 9068, 29634, 199, 640, 17910, 989, 340, 2649, 28627, 564, 645, 400, 606, 841, 351, 2500, 6508, 12975, 13009, 660, 378, 324, 3467, 2455, 199, 18698, 453, 419, 829, 13147, 1021, 9892, 261, 788, 675, 47697, 437, 1315, 342, 2101, 705, 18792, 268, 1749, 410, 693, 11203, 199, 1134, 396, 1215, 903, 370, 670, 280, 1460, 499 ]

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

[ 609, 10908, 16970, 3473, 3786, 2299, 843, 18648, 371, 20845, 23726, 199, 414, 8555, 330, 499, 14993, 2224, 20307, 970, 5676, 6545, 455, 275, 2001, 416, 1081, 18677, 10573, 547, 485, 737, 655, 199, 37, 1280, 276, 2046, 6212, 3579, 1583, 3325, 780, 3366, 7238, 262, 724, 642, 364, 1367, 483, 15422, 397, 4453, 49, 199, 402, 589, 458, 409, 829, 367, 15731, 503, 1574, 451, 420, 479, 482, 8113, 387, 453, 38352, 286, 40522, 412, 784, 316, 2613, 199, 3227, 7881, 959, 389, 7009, 25305, 1307, 1184, 23270, 662, 390, 1457, 16877, 1797, 322, 19073, 8699, 26662, 199, 49122, 6393, 35286, 35180, 476, 5139, 12212, 5101, 2588, 564, 278, 2129, 4071, 293, 1375, 436, 525, 41014, 199, 448, 316, 694, 44954, 355, 1998, 534, 7024, 12294, 1955, 15279, 267, 1188, 1478, 29115, 8336, 482, 355, 4589, 678, 199, 2432, 2022, 688, 5377, 532, 1233, 607, 268, 1736, 1072, 1489, 450, 14268, 600, 31989, 40836, 1280, 6526, 557, 3728, 199, 327, 2160, 263, 779, 379, 1763, 318, 13581, 1472, 913, 3303, 43604, 600, 19740, 9297, 1315, 24939, 1201, 613, 345, 443, 199, 37, 436, 600, 4677, 333, 12001, 291, 557, 37262, 281, 14432, 388, 19626, 18219, 348, 6536, 3516, 4246, 374, 587, 353, 199, 44, 3925, 1641, 330, 2076, 291, 552, 624, 282, 2845, 1218, 325, 8870, 4076, 297, 712, 312, 1472, 789, 6311, 596, 6605, 199, 1184, 281, 732, 11014, 7314, 340, 435, 49136, 441, 11158, 22173, 522, 346, 5133, 358, 678, 589, 380, 1593, 47115, 199, 405, 315, 1189, 726, 199, 0, 199, 382, 1819, 19029, 4258, 390, 420, 1990, 3822, 27138, 1969, 1944, 6874, 607, 27800, 1726, 9870, 259, 667, 4731, 199, 11701, 2676, 7977, 19706, 2655, 334, 590, 396, 496, 554, 1094, 441, 293, 1530, 16625, 3888, 544, 9395, 522, 441, 2175, 199, 2176, 532, 24705, 2518, 356, 9784, 361, 1888, 473, 628, 26180, 342, 2682, 6633, 393, 626, 4458, 393, 13103, 600, 315, 199, 298, 647, 536, 285, 30294, 2245, 348, 553, 7669, 679, 7141, 1163, 28002, 913, 1430, 1256, 9090, 10639, 1783, 270, 199, 2537, 2247, 1672, 289, 1246, 27401, 1454, 685, 330, 520, 4365, 9112, 36322, 768, 483, 3100, 376, 1733, 387, 5557, 199, 443, 1845, 6543, 670, 343, 1950, 21925, 2259, 619, 664, 36168, 774, 2969, 318, 1086, 624, 284, 619, 3972, 269, 2781, 199, 42594, 1172, 48779, 9476, 384, 4279, 1512, 440, 15443, 2681, 844, 332, 3325, 13425, 4536, 359, 384, 427, 592, 199, 3154, 599, 277, 708, 433, 533, 2064, 276, 29067, 360, 2186, 281, 26340, 1809, 337, 1231, 339, 568, 481, 382, 574, 425, 610, 290, 509, 199, 485, 1941, 1354, 34876, 855, 38020, 1349, 467, 696, 507, 3231, 2829, 873, 8251, 9430, 388, 491, 22536, 989, 397, 339, 199, 395, 19322, 596, 288, 1801, 521, 1192, 904, 1115, 5845, 2160, 608, 24048, 439, 2832, 1406, 392, 1945, 364, 2077, 546, 415, 45, 199, 10363, 402, 18009, 1606, 374, 1604, 2352, 1219, 2215, 367, 27314, 497, 15713, 330, 26468, 1115, 490, 34299, 1077, 1485, 33, 199, 346, 24114, 1445, 833, 3873, 1854, 1438, 2342, 872, 550, 29862, 7425, 1326, 20145, 531 ]

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

[ 350, 927, 6308, 523, 199, 323, 630, 459, 993, 33106, 29991, 657, 314, 393, 15511, 43053, 393, 1556, 16093, 32762, 1620, 328, 1163, 349, 39156, 199, 1333, 419, 638, 6322, 276, 3472, 2174, 12023, 1026, 2113, 48217, 1421, 276, 8699, 1874, 794, 3273, 23520, 1014, 199, 350, 1663, 4988, 993, 1273, 29210, 2934, 3461, 10492, 339, 1293, 15279, 370, 26082, 10114, 1738, 292, 2558, 5142, 199, 15008, 2116, 364, 16705, 359, 27065, 13385, 543, 837, 319, 888, 9414, 563, 13461, 295, 762, 1116, 286, 1220, 657, 199, 326, 21501, 34141, 602, 265, 5208, 12357, 15478, 1450, 15144, 10181, 5025, 12925, 7041, 29506, 391, 566, 11437, 199, 1449, 782, 11850, 378, 688, 12734, 346, 2803, 1275, 3020, 361, 6001, 3496, 15089, 657, 1531, 4054, 323, 12426, 199, 319, 437, 338, 764, 49959, 361, 441, 6465, 9494, 509, 317, 2160, 319, 1026, 1242, 6504, 1099, 36463, 595, 4145, 16570, 199, 8130, 480, 7991, 199, 0, 199, 375, 1512, 2791, 5192, 281, 685, 6634, 33223, 290, 2363, 328, 3110, 11950, 1097, 5383, 659, 2809, 806, 11935, 199, 6156, 11047, 576, 700, 40706, 530, 12599, 348, 5088, 1872, 1473, 794, 271, 2744, 9608, 21385, 17106, 646, 46, 199, 377, 360, 20503, 11610, 361, 2039, 507, 2300, 47143, 20564, 1046, 3515, 2472, 259, 1784, 521, 562, 28640, 394, 1456, 286, 199, 37, 769, 5327, 1584, 3445, 2215, 301, 1195, 1544, 389, 474, 3952, 8096, 5218, 1798, 12760, 26437, 1276, 284, 388, 390, 199, 44, 1893, 17993, 676, 2308, 974, 3032, 325, 19608, 21531, 1920, 45805, 258, 785, 271, 1283, 392, 1274, 325, 40888, 199, 467, 372, 16864, 1239, 3882, 4086, 775, 577, 1046, 316, 4077, 7863, 264, 867, 4196, 1096, 1037, 455, 11660, 324, 779, 199, 5334, 16953, 543, 405, 4869, 706, 334, 1404, 37916, 805, 264, 3577, 2133, 4010, 1384, 625, 7647, 481, 782, 2817, 41, 199, 1818, 602, 404, 418, 1449, 10040, 36822, 722, 1395, 2004, 31256, 370, 596, 4812, 3034, 752, 291, 657, 35606, 425, 401, 199, 402, 2143, 677, 278, 1379, 314, 541, 4224, 699, 314, 1605, 1770, 4559, 550, 538, 9139, 335, 1005, 1879, 295, 545, 30382, 199, 390, 486, 49914, 354, 8508, 1510, 284, 1207, 755, 725, 2885, 19238, 41, 2655, 22879, 5144, 384, 4548, 686, 46, 199, 1753, 27689, 13752, 762, 1201, 920, 456, 6994, 537, 1516, 277, 650, 282, 1787, 19518, 3580, 531, 382, 2208, 29680, 199, 567, 1342, 10766, 1850, 9204, 387, 779, 479, 652, 1008, 1220, 1823, 280, 555, 1238, 286, 605, 21726, 1958, 1958, 3156, 199, 1155, 332, 2537, 481, 11863, 20732, 2571, 1722, 7500, 6723, 40127, 1264, 287, 1049, 6379, 15444, 2064, 5866, 54, 199, 18362, 11782, 2885, 16059, 1670, 503, 25710, 1231, 11459, 264, 44973, 1746, 21998, 365, 3966, 13143, 388, 6759, 199, 49, 2100, 275, 627, 13581, 4559, 1243, 1372, 378, 2404, 10746, 429, 2293, 269, 11327, 10451, 776, 9977, 22112, 851, 199, 44, 4303, 6416, 668, 3886, 17313, 353, 4841, 5196, 42775, 6942, 43470, 1162, 6388, 2333, 441, 352, 470, 263, 199, 57, 1791, 32659, 851, 526, 6985, 1200, 274, 1035, 398, 1109, 4352, 391, 13640, 941, 337, 960, 4228, 6601, 287 ]

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

[ 1356, 199, 5400, 2888, 297, 2769, 11284, 766, 336, 9384, 820, 47293, 3148, 50162, 288, 1471, 464, 272, 1544, 279, 6293, 2218, 199, 15002, 399, 2393, 386, 2625, 926, 4375, 3064, 712, 546, 5173, 265, 8197, 947, 8966, 816, 558, 332, 15761, 433, 766, 391, 45, 199, 8208, 1004, 278, 199, 0, 199, 385, 647, 334, 691, 2414, 4201, 32310, 466, 301, 4313, 385, 759, 12406, 594, 4272, 22418, 531, 363, 441, 1785, 39131, 199, 48, 1421, 407, 731, 435, 435, 12207, 976, 2362, 337, 713, 5778, 1870, 353, 28881, 2825, 12988, 33020, 398, 3999, 2028, 199, 5009, 377, 816, 523, 5089, 790, 520, 815, 319, 715, 3263, 1885, 392, 13467, 607, 372, 523, 3030, 3672, 734, 199, 39, 1221, 12984, 5631, 688, 16805, 503, 1732, 349, 2080, 5332, 333, 1724, 839, 391, 1136, 466, 14788, 331, 2378, 452, 33, 199, 11093, 278, 2712, 6920, 403, 913, 31665, 28244, 493, 314, 2302, 1092, 315, 6417, 1181, 3559, 3482, 296, 1728, 199, 1169, 285, 2361, 360, 2058, 9615, 291, 1077, 392, 343, 2016, 1156, 1090, 633, 494, 375, 599, 284, 16731, 579, 292, 585, 7259, 199, 5929, 276, 659, 506, 7050, 494, 382, 1911, 5611, 767, 591, 435, 455, 24580, 441, 863, 287, 6244, 398, 355, 478, 3643, 199, 15301, 2676, 331, 6579, 41707, 771, 8136, 640, 419, 6923, 5539, 1475, 427, 551, 418, 2691, 19128, 930, 9667, 199, 31077, 26943, 526, 300, 496, 2738, 421, 3515, 1454, 612, 345, 574, 32924, 9020, 1538, 699, 762, 356, 46720, 413, 1167, 199, 25166, 2638, 552, 425, 599, 349, 2684, 364, 12087, 464, 314, 3039, 1197, 2727, 2900, 13531, 395, 55, 5523, 955, 8508, 199, 590, 19234, 23954, 421, 504, 1589, 16717, 4537, 380, 24259, 668, 1643, 356, 22888, 2872, 18830, 35, 1970, 258, 10635, 199, 463, 9472, 664, 327, 1702, 45664, 17120, 586, 341, 467, 525, 539, 2654, 49169, 36024, 3216, 556, 367, 595, 36108, 779, 199, 51, 3252, 399, 6336, 22155, 2366, 1041, 9280, 712, 856, 1143, 29011, 1447, 4459, 447, 532, 2872, 525, 18559, 627, 33, 199, 3663, 5803, 6941, 263, 525, 40647, 787, 451, 398, 687, 295, 6174, 292, 2054, 31462, 44995, 5443, 351, 3813, 199, 14169, 55, 786, 14514, 412, 6981, 31882, 1419, 1725, 449, 3257, 301, 1878, 13358, 506, 3506, 903, 554, 2670, 433, 331, 199, 4514, 33022, 1246, 6695, 367, 9585, 278, 1172, 10559, 493, 695, 321, 1304, 1652, 799, 397, 1179, 27949, 1854, 52, 199, 301, 1008, 16320, 642, 20086, 1165, 38565, 412, 509, 817, 938, 313, 1487, 696, 425, 372, 43220, 5612, 1799, 45232, 199, 13917, 774, 9556, 46465, 2202, 1095, 879, 18890, 841, 273, 2098, 7498, 2049, 20033, 666, 277, 655, 280, 1471, 8173, 199, 1247, 11042, 705, 333, 1313, 2420, 6728, 20343, 1341, 469, 3117, 260, 1536, 50161, 21854, 3836, 391, 4004, 1263, 2920, 199, 281, 14356, 2009, 199, 0, 199, 339, 13319, 580, 440, 11842, 333, 1873, 7686, 44105, 7867, 260, 722, 328, 4285, 7880, 1283, 567, 19843, 9096, 199, 269, 4198, 12409, 442, 4397, 431, 1230, 20634, 432, 23637, 440, 4657, 30211, 703, 337, 647, 281, 589, 312, 1127, 323, 199, 265 ]

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

[ 1048, 26280, 433, 2933, 11824, 15910, 767, 419, 521, 365, 4811, 370, 1272, 377, 45688, 2382, 664, 1914, 559, 1661, 199, 2319, 1334, 733, 28014, 659, 13517, 293, 672, 282, 45699, 4574, 910, 6747, 21407, 1407, 1139, 13853, 984, 54, 199, 645, 39073, 1682, 8527, 585, 44777, 487, 366, 1010, 40, 1196, 552, 380, 1896, 455, 405, 387, 1167, 1195, 1146, 7978, 313, 199, 8130, 483, 34873, 3458, 659, 320, 2468, 2879, 15172, 2225, 7766, 692, 22958, 331, 639, 425, 6376, 554, 25954, 1756, 199, 1249, 361, 649, 473, 3746, 1326, 298, 613, 375, 6526, 1079, 21348, 599, 10462, 1086, 3311, 334, 2476, 464, 6128, 489, 415, 199, 44, 460, 2589, 394, 831, 598, 386, 1450, 793, 497, 366, 7467, 584, 828, 6641, 1900, 636, 356, 14380, 623, 404, 760, 389, 199, 313, 1081, 280, 25728, 324, 494, 3480, 36824, 319, 1949, 499, 1961, 392, 3315, 475, 3834, 298, 16019, 940, 20298, 926, 312, 199, 17752, 497, 9132, 406, 9623, 1639, 25536, 1087, 417, 10376, 5072, 43456, 552, 10958, 747, 649, 28028, 7461, 199, 9155, 446, 2973, 2071, 41815, 3703, 390, 13591, 324, 549, 288, 666, 2136, 465, 4609, 1561, 629, 283, 6178, 760, 313, 594, 199, 355, 756, 2000, 14077, 2549, 526, 34300, 660, 55, 966, 427, 1282, 346, 1220, 19232, 1106, 40521, 2662, 524, 8186, 672, 199, 365, 20986, 24634, 526, 5265, 321, 3147, 7019, 10902, 1259, 447, 5970, 1182, 10738, 589, 4353, 374, 2534, 26831, 199, 774, 283, 2090, 22932, 476, 4941, 846, 2320, 464, 284, 689, 28768, 289, 11811, 905, 694, 405, 729, 282, 552, 27682, 295, 199, 588, 415, 14691, 1296, 1598, 294, 1915, 315, 2107, 644, 5163, 1030, 260, 2495, 301, 656, 10964, 927, 8898, 1499, 1438, 199, 522, 477, 3130, 820, 288, 668, 4112, 402, 2109, 6786, 267, 913, 12586, 573, 42265, 7200, 346, 1428, 2278, 472, 199, 37, 690, 416, 520, 3213, 1054, 32326, 570, 11729, 375, 451, 744, 495, 420, 1648, 1457, 403, 530, 476, 578, 410, 364, 10788, 199, 391, 1417, 340, 469, 11488, 499, 1193, 335, 498, 26362, 363, 199, 0, 199, 1123, 2076, 37917, 356, 711, 14873, 7483, 10420, 1421, 1798, 33224, 2881, 282, 732, 1882, 315, 741, 1847, 2741, 199, 490, 4223, 917, 334, 658, 3326, 543, 417, 10941, 45791, 3518, 296, 360, 463, 4611, 1062, 265, 1168, 1467, 11668, 199, 39, 2692, 370, 23588, 537, 695, 23190, 356, 664, 7245, 273, 13533, 1152, 325, 2719, 4304, 1454, 1951, 463, 3235, 606, 199, 1223, 13647, 2262, 546, 563, 11185, 1381, 543, 1298, 360, 510, 375, 8737, 6714, 263, 9021, 930, 891, 7064, 335, 199, 5742, 260, 1386, 406, 995, 398, 1213, 8557, 526, 430, 36840, 538, 10355, 1443, 1600, 20952, 1603, 986, 390, 639, 540, 199, 21201, 4473, 1686, 322, 3873, 8862, 295, 1328, 356, 12429, 456, 369, 1509, 369, 3504, 1415, 9989, 325, 729, 12326, 440, 52, 199, 3381, 527, 313, 5372, 577, 18587, 261, 973, 282, 5609, 14934, 397, 1783, 17369, 1013, 14581, 10445, 1116, 574, 2602, 40, 199, 39, 14513, 1247, 487, 487, 813, 17521, 25967, 34520, 16150, 2765, 415, 3706, 5041, 1272, 426, 10417, 482 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 199, 4622, 2549, 462, 578, 20360, 10795, 586, 705, 589, 275, 667, 10447, 450, 504, 404, 8003, 1768, 290, 973, 653, 199, 24594, 1332, 527, 18658, 11404, 1159, 11278, 419, 446, 1475, 23086, 1144, 294, 7578, 9731, 15483, 46401, 8140, 199, 5659, 3594, 370, 26340, 1199, 9845, 406, 875, 403, 2831, 37746, 413, 618, 282, 4390, 346, 875, 1884, 504, 284, 199, 1286, 4201, 288, 5289, 348, 922, 5570, 18938, 1871, 17377, 338, 17109, 7195, 646, 516, 7443, 501, 19343, 770, 199, 23561, 4557, 1527, 330, 576, 300, 947, 704, 390, 1314, 49198, 1019, 22453, 592, 875, 7504, 356, 594, 1621, 12046, 199, 438, 2943, 406, 4622, 1424, 2324, 10855, 27796, 21049, 2139, 641, 384, 2280, 10660, 345, 697, 317, 1593, 2684, 4805, 199, 10118, 1973, 1334, 2527, 398, 563, 400, 1072, 31966, 755, 398, 6535, 1439, 515, 19135, 356, 47595, 370, 40105, 5168, 33, 199, 1168, 630, 265, 459, 1131, 858, 336, 3172, 266, 858, 615, 382, 3218, 28840, 1263, 1773, 389, 586, 356, 8053, 8202, 313, 199, 13370, 374, 704, 1241, 334, 2116, 397, 5460, 573, 10683, 438, 2126, 291, 1791, 335, 1635, 350, 1323, 11158, 45332, 14847, 199, 619, 9720, 371, 28590, 384, 24554, 19194, 275, 909, 28707, 2259, 5826, 4273, 693, 337, 915, 959, 2216, 264, 199, 10529, 22121, 3292, 578, 12398, 1467, 283, 19963, 771, 294, 990, 571, 675, 5488, 1504, 282, 699, 5459, 702, 199, 8141, 20111, 367, 1449, 356, 338, 7631, 1546, 406, 1398, 276, 1579, 328, 33555, 7832, 288, 1167, 324, 861, 1150, 440, 199, 15889, 13451, 1326, 348, 512, 859, 503, 1357, 278, 4883, 340, 930, 1132, 5259, 31156, 1453, 17488, 396, 587, 2121, 199, 39, 11383, 365, 15312, 12111, 5742, 3160, 385, 20758, 4319, 424, 8622, 822, 317, 609, 3254, 2597, 798, 445, 382, 199, 291, 621, 14610, 16476, 584, 3886, 20907, 392, 344, 15718, 1645, 5902, 2337, 404, 1464, 326, 747, 263, 911, 290, 8924, 199, 327, 550, 405, 657, 376, 4756, 912, 375, 1830, 277, 1019, 1623, 320, 1373, 771, 325, 4334, 747, 768, 13334, 325, 12721, 199, 6009, 2670, 9559, 1117, 365, 11264, 1350, 21998, 1629, 634, 9735, 1108, 260, 1541, 917, 26990, 993, 41, 5224, 199, 34989, 287, 3149, 1011, 265, 752, 1223, 22043, 1036, 2494, 527, 1433, 261, 1557, 747, 1555, 4929, 49, 1853, 23867, 199, 373, 6708, 263, 622, 4396, 642, 39882, 4012, 290, 2018, 9054, 1785, 282, 3640, 467, 284, 1278, 1094, 32696, 2031, 199, 344, 18731, 1766, 199, 0, 199, 2751, 511, 1542, 351, 458, 1146, 386, 913, 661, 7969, 2683, 295, 1384, 703, 23457, 1864, 666, 24155, 503, 323, 12135, 1843, 199, 364, 2456, 648, 19802, 1255, 287, 1281, 266, 4752, 1617, 374, 13733, 23671, 398, 49285, 2116, 28773, 413, 706, 301, 2558, 54, 199, 4634, 2847, 690, 689, 3715, 328, 1327, 750, 28499, 436, 570, 356, 7077, 2118, 336, 639, 300, 904, 467, 2040, 3061, 199, 2005, 47194, 1058, 337, 1392, 340, 1220, 18842, 860, 11783, 1595, 1676, 590, 383, 638, 6182, 1568, 587, 37739, 19273, 199, 44, 47772, 1651, 7625, 3620, 612, 2137, 1864, 798, 266, 854, 401, 845, 286 ]

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

[ 18188, 563, 436, 621, 391, 400, 3131, 40, 2750, 199, 281, 684, 7692, 1612, 346, 6832, 452, 2000, 31702, 3301, 389, 4201, 1253, 10053, 313, 7624, 941, 389, 548, 339, 199, 1363, 2008, 1581, 2507, 1536, 406, 1300, 17203, 1005, 545, 779, 1414, 2003, 2460, 1559, 1207, 14495, 1704, 2732, 199, 591, 11066, 312, 372, 865, 712, 3761, 1785, 1207, 1098, 6712, 470, 339, 882, 468, 8693, 32598, 5402, 351, 4694, 410, 199, 10345, 392, 2771, 1350, 429, 5264, 5385, 11569, 694, 298, 508, 347, 1027, 41526, 1385, 1844, 19178, 6842, 26392, 199, 9580, 565, 41190, 1803, 15239, 11237, 1223, 339, 4058, 619, 418, 3308, 42189, 778, 33913, 431, 47741, 3064, 6008, 199, 559, 4137, 468, 551, 1951, 25450, 6248, 33442, 10753, 1035, 2820, 348, 2275, 1581, 2420, 337, 1373, 15581, 2768, 199, 280, 1600, 484, 683, 260, 496, 22737, 347, 507, 275, 2052, 312, 1391, 496, 590, 2113, 3606, 288, 1751, 3823, 456, 552, 369, 20690, 199, 623, 284, 947, 434, 3670, 42480, 613, 2497, 313, 843, 30638, 1144, 5838, 338, 7113, 27278, 9464, 290, 3799, 1431, 199, 35902, 10292, 425, 5133, 322, 471, 35823, 420, 14524, 1492, 413, 10574, 3903, 317, 1591, 12948, 1942, 760, 820, 282, 199, 389, 458, 1736, 297, 944, 5253, 350, 384, 5603, 315, 1514, 366, 1657, 673, 1268, 18579, 1113, 2067, 36054, 576, 13270, 199, 14413, 957, 533, 403, 4653, 443, 28983, 295, 2553, 4221, 15417, 355, 47775, 2325, 2634, 326, 3822, 1062, 1082, 24521, 22984, 199, 46788, 949, 830, 1431, 1365, 408, 2763, 8713, 550, 464, 4076, 418, 1020, 11552, 1152, 470, 399, 540, 330, 3981, 199, 4919, 458, 1253, 9423, 18988, 485, 3027, 48240, 1841, 25331, 2221, 2441, 1049, 2037, 7744, 995, 15315, 399, 1516, 199, 14122, 2608, 572, 318, 1881, 490, 35290, 792, 288, 511, 405, 5404, 601, 357, 18424, 2516, 433, 7530, 1695, 292, 1450, 257, 199, 2082, 18690, 327, 199, 0, 199, 4677, 4892, 882, 13655, 5062, 274, 5084, 1972, 439, 23660, 329, 418, 272, 1973, 1407, 14366, 473, 2003, 444, 400, 11930, 199, 6060, 39987, 484, 8900, 11683, 457, 7699, 334, 1310, 2339, 368, 3896, 828, 10648, 487, 346, 13158, 832, 1944, 199, 2595, 611, 19898, 898, 468, 1942, 7844, 346, 396, 3381, 638, 8598, 338, 4446, 2237, 30203, 2400, 335, 3703, 519, 199, 5867, 334, 521, 3513, 397, 371, 1970, 13909, 1884, 482, 1884, 342, 510, 259, 1321, 23265, 840, 5004, 393, 2078, 1164, 199, 10599, 426, 2851, 1051, 3890, 1709, 1304, 2451, 344, 515, 12578, 474, 396, 1117, 12999, 281, 1884, 2918, 265, 1186, 4521, 318, 199, 348, 2964, 2071, 8034, 324, 1842, 2719, 1193, 7874, 48491, 11012, 468, 9749, 3561, 475, 2872, 653, 1512, 3933, 444, 199, 329, 570, 4573, 22529, 13594, 706, 25803, 588, 615, 22151, 659, 340, 649, 3070, 5154, 566, 325, 2553, 48, 5023, 1483, 199, 37, 4425, 605, 284, 1162, 279, 12492, 2010, 7354, 264, 2544, 335, 1088, 14600, 2044, 5215, 25425, 8693, 49, 950, 334, 199, 33096, 334, 7403, 9883, 342, 393, 40504, 3913, 12327, 277, 3664, 693, 2668, 603, 503, 19986, 322, 947, 318, 2005, 199, 37, 1166, 341, 5407 ]

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

[ 370, 2016, 1682, 8711, 333, 23959, 3127, 6553, 407, 1062, 895, 285, 1188, 5659, 9652, 499, 16012, 199, 461, 12479, 282, 1279, 406, 12549, 273, 1159, 600, 3646, 9130, 31786, 352, 1472, 981, 2932, 13294, 701, 18435, 289, 199, 346, 547, 292, 1499, 1403, 41, 2679, 28424, 617, 284, 5314, 1649, 753, 24192, 2328, 590, 590, 36987, 440, 14573, 8969, 199, 847, 507, 6097, 1219, 4252, 1851, 593, 25009, 936, 2599, 698, 44287, 1386, 410, 1520, 21032, 26457, 1714, 753, 50, 199, 387, 1225, 414, 37940, 370, 6202, 445, 984, 2830, 711, 366, 3146, 292, 1117, 467, 18010, 290, 1491, 424, 45990, 745, 488, 199, 661, 882, 279, 2268, 351, 7759, 5412, 549, 3211, 375, 382, 6840, 4023, 2241, 440, 4157, 549, 40949, 11984, 2314, 199, 17732, 28335, 608, 267, 4645, 800, 2994, 11261, 338, 397, 24761, 275, 738, 41790, 10684, 280, 1978, 635, 1491, 289, 199, 37, 609, 2409, 295, 3673, 636, 20064, 1722, 298, 1571, 1718, 331, 480, 714, 2113, 1096, 37473, 14051, 9994, 2166, 496, 199, 804, 1061, 541, 7510, 583, 6446, 20747, 491, 2492, 589, 13280, 413, 2714, 365, 44066, 2563, 638, 7997, 449, 712, 477, 199, 937, 2259, 42691, 5088, 9311, 610, 1960, 440, 985, 352, 885, 376, 420, 356, 47770, 2741, 428, 2954, 345, 4236, 33, 199, 2740, 6687, 578, 199, 0, 199, 25192, 930, 1000, 1366, 1000, 11399, 2513, 296, 7792, 1293, 10865, 1630, 409, 2229, 999, 455, 21174, 12865, 319, 199, 50, 999, 361, 1281, 40, 1785, 3472, 3808, 312, 896, 26683, 465, 5465, 323, 2479, 4356, 2599, 374, 9697, 287, 1832, 467, 199, 1323, 46349, 1731, 403, 9130, 333, 402, 9615, 1437, 545, 11400, 2416, 392, 688, 298, 633, 319, 1930, 29095, 762, 50, 199, 674, 283, 880, 318, 782, 7908, 1233, 5076, 22689, 727, 1381, 334, 1060, 32915, 1819, 898, 344, 1838, 348, 31382, 199, 467, 578, 596, 7630, 266, 34292, 3159, 12246, 6609, 820, 283, 6609, 935, 18060, 938, 388, 2404, 400, 4762, 471, 199, 26135, 281, 642, 33436, 3534, 2680, 8472, 12062, 280, 7215, 1096, 2314, 265, 536, 600, 7226, 4018, 295, 880, 199, 36350, 10785, 2628, 2744, 2300, 25693, 3596, 266, 582, 24482, 301, 378, 600, 3547, 10132, 1163, 562, 2944, 199, 623, 10215, 2230, 1552, 1650, 21352, 17277, 314, 489, 267, 1735, 1163, 464, 318, 1459, 1055, 8792, 666, 1017, 29404, 199, 48271, 652, 28200, 336, 23640, 1328, 356, 8535, 4988, 2224, 1014, 275, 507, 362, 2717, 647, 1201, 337, 848, 21817, 33, 199, 3173, 410, 1799, 260, 1388, 2000, 288, 2274, 3174, 37656, 1868, 377, 634, 6676, 362, 3903, 2326, 611, 12724, 257, 199, 51, 6258, 350, 1220, 426, 1455, 483, 2986, 8211, 908, 4055, 336, 2111, 21801, 30596, 4920, 36909, 5691, 818, 20961, 199, 20841, 4504, 8301, 473, 329, 6962, 6835, 23452, 616, 538, 3247, 2655, 3643, 285, 4517, 1188, 39636, 5102, 419, 199, 426, 816, 474, 388, 1204, 1876, 2057, 278, 2285, 337, 675, 27315, 15223, 552, 373, 3838, 408, 4283, 49234, 10422, 33, 199, 51, 7032, 318, 1333, 414, 14182, 291, 459, 14584, 3208, 385, 388, 8422, 691, 319, 633, 5883, 526, 275, 4349 ]

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

[ 516, 8810, 199, 260, 872, 694, 379, 24610, 725, 16918, 952, 939, 268, 603, 897, 2905, 713, 6356, 298, 2935, 416, 434, 3195, 199, 36259, 21465, 1895, 6885, 263, 2480, 634, 380, 509, 33928, 733, 7147, 31793, 829, 327, 6543, 2680, 407, 43186, 199, 45, 1986, 358, 13143, 3446, 6418, 7142, 274, 893, 11745, 6916, 1889, 2500, 2255, 30051, 3768, 3625, 652, 9632, 199, 319, 7352, 334, 1201, 603, 388, 742, 272, 572, 1926, 2564, 976, 46060, 2810, 549, 2705, 268, 1004, 507, 377, 8987, 33, 199, 439, 1960, 2283, 5818, 7107, 334, 768, 1169, 5266, 589, 378, 658, 1228, 317, 3414, 16439, 8322, 467, 598, 17916, 199, 5445, 269, 39954, 199, 0, 199, 382, 3021, 263, 1600, 506, 7357, 938, 335, 9680, 13123, 29603, 4732, 678, 2022, 406, 7102, 1013, 1652, 7916, 199, 44, 1202, 13461, 2784, 448, 34748, 1233, 584, 6341, 4908, 360, 1387, 17783, 630, 8721, 38970, 1253, 860, 532, 4395, 199, 343, 2127, 547, 350, 952, 639, 353, 20127, 316, 1042, 337, 7435, 331, 1197, 261, 2851, 389, 1207, 400, 692, 22873, 5951, 199, 28729, 1649, 5950, 22056, 596, 20266, 3949, 635, 31343, 7704, 480, 28068, 3306, 277, 998, 3083, 337, 867, 1645, 199, 49458, 10974, 1449, 1378, 377, 8759, 1213, 374, 1438, 543, 291, 15860, 983, 325, 937, 461, 1155, 35487, 1099, 299, 409, 199, 37, 3278, 12078, 1714, 390, 365, 18753, 1270, 2073, 723, 1640, 282, 703, 297, 2761, 324, 2322, 411, 6466, 972, 7095, 54, 199, 4522, 2652, 2749, 432, 369, 3570, 483, 1510, 3747, 44835, 2075, 333, 8353, 478, 19395, 4653, 566, 2219, 270, 712, 390, 199, 566, 1332, 346, 20901, 9162, 372, 547, 5660, 1121, 283, 1248, 4638, 425, 33342, 553, 3342, 466, 7173, 333, 6123, 25793, 199, 33367, 837, 288, 2326, 421, 9503, 46447, 16918, 709, 379, 1021, 330, 38476, 447, 10762, 440, 47908, 5418, 257, 835, 199, 786, 35569, 1269, 16426, 739, 549, 4870, 356, 12420, 26391, 2464, 342, 636, 276, 24666, 613, 463, 653, 929, 5643, 199, 5172, 847, 383, 1250, 9162, 10071, 11154, 952, 1430, 387, 1062, 323, 1122, 391, 956, 4358, 677, 12637, 1776, 542, 199, 417, 267, 844, 318, 7582, 2464, 29393, 470, 942, 844, 12524, 271, 2378, 738, 1622, 568, 422, 2055, 21355, 348, 7301, 199, 358, 29175, 282, 545, 358, 2050, 1742, 22528, 1174, 6799, 1682, 27134, 6108, 579, 15374, 312, 427, 564, 14223, 969, 199, 264, 420, 1790, 655, 376, 8782, 322, 506, 384, 28358, 3472, 26590, 287, 3282, 453, 352, 830, 612, 5856, 413, 588, 1773, 55, 199, 38233, 591, 40118, 376, 5241, 1269, 2447, 1642, 464, 337, 2967, 411, 1127, 315, 2808, 351, 1487, 14350, 519, 320, 10493, 199, 403, 525, 517, 431, 1462, 47010, 533, 9824, 292, 641, 13991, 10804, 22548, 754, 34760, 853, 318, 546, 45, 1972, 2442, 199, 12540, 1251, 7977, 300, 494, 3366, 448, 725, 995, 293, 749, 1797, 495, 12148, 882, 37760, 1132, 27742, 2049, 371, 564, 199, 43359, 709, 887, 36393, 1470, 355, 2388, 1333, 5149, 17631, 1089, 1588, 342, 815, 21210, 685, 693, 6379, 298, 199, 12344, 7743, 257, 734, 37439, 317, 502, 368, 21411 ]

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

[ 1469, 1825, 12919, 3754, 8843, 629, 357, 6923, 13402, 40254, 199, 393, 865, 15368, 199, 0, 199, 2594, 331, 3811, 9843, 412, 527, 890, 354, 1779, 3818, 37761, 621, 5042, 2904, 321, 35065, 9145, 636, 1219, 4440, 199, 6998, 771, 365, 905, 31437, 392, 495, 14796, 19892, 391, 3510, 365, 9254, 272, 1357, 2029, 9203, 1307, 48277, 777, 199, 417, 411, 268, 793, 57, 1645, 1050, 43243, 1161, 333, 3157, 2468, 438, 1528, 20727, 831, 712, 10205, 513, 20379, 14143, 54, 199, 280, 920, 349, 441, 2953, 25741, 2126, 40783, 3174, 515, 40935, 319, 2069, 923, 43819, 1290, 400, 375, 4703, 276, 199, 259, 921, 48338, 1346, 14316, 496, 31700, 1292, 8805, 2204, 445, 419, 3198, 2655, 296, 1956, 22072, 596, 524, 27898, 199, 10415, 1483, 6198, 4156, 316, 1585, 2032, 30386, 10408, 4448, 323, 982, 29098, 2873, 262, 1428, 841, 6881, 199, 13509, 4526, 533, 36836, 28181, 1751, 1685, 358, 3992, 290, 623, 699, 1093, 485, 1307, 1205, 348, 606, 398, 556, 3109, 199, 358, 370, 2956, 520, 2338, 1833, 466, 431, 2255, 531, 350, 1710, 376, 6251, 561, 296, 2958, 4069, 717, 294, 756, 293, 1327, 279, 199, 44, 4368, 1236, 18672, 1333, 14888, 313, 615, 12922, 539, 4313, 295, 441, 3283, 749, 830, 425, 9224, 9243, 5269, 315, 199, 612, 842, 313, 1044, 1207, 41267, 2055, 5131, 317, 1406, 410, 4494, 704, 390, 2101, 4117, 608, 1019, 1695, 280, 1049, 501, 199, 8578, 608, 463, 362, 1232, 674, 451, 2047, 3151, 1282, 707, 394, 782, 531, 377, 1118, 365, 42410, 695, 18244, 2058, 1218, 199, 373, 790, 455, 861, 375, 1000, 7272, 878, 1803, 1697, 20657, 677, 6992, 918, 403, 730, 281, 1930, 8316, 442, 6934, 199, 642, 1015, 426, 373, 1256, 1143, 17583, 333, 5196, 426, 346, 475, 4740, 27660, 4114, 466, 27682, 1444, 467, 445, 2893, 199, 44, 662, 337, 869, 288, 1009, 472, 745, 335, 1287, 1157, 275, 580, 14046, 1749, 19339, 29382, 1055, 340, 3266, 337, 4733, 199, 540, 486, 666, 360, 2487, 894, 282, 5630, 10489, 513, 3296, 395, 3038, 456, 3682, 36416, 335, 2243, 484, 25927, 391, 350, 199, 400, 13627, 1437, 37934, 921, 10396, 604, 8345, 1542, 494, 3315, 3460, 1767, 640, 8124, 486, 603, 366, 493, 2933, 285, 199, 3465, 418, 550, 13783, 16219, 373, 1054, 6595, 528, 415, 682, 2832, 1189, 288, 45, 1588, 16332, 778, 2579, 406, 384, 421, 199, 615, 43094, 521, 367, 1745, 35117, 455, 30200, 334, 1133, 5213, 314, 22868, 497, 354, 18769, 680, 334, 813, 713, 615, 199, 37, 3043, 370, 840, 352, 8525, 294, 1827, 604, 823, 742, 518, 419, 548, 319, 7356, 6075, 9466, 440, 8685, 344, 1855, 199, 7490, 547, 9957, 199, 0, 199, 1218, 351, 1475, 10278, 1683, 1794, 26611, 790, 266, 2842, 4690, 440, 1520, 5530, 1200, 419, 12559, 697, 507, 698, 199, 3749, 314, 1939, 693, 31150, 299, 7278, 664, 1522, 725, 11343, 838, 24974, 2258, 386, 24524, 2257, 4314, 21466, 199, 38352, 918, 289, 714, 8863, 2058, 2531, 295, 482, 8897, 49785, 545, 362, 899, 419, 1196, 7503, 2471, 4034, 57, 199, 397, 4317, 416, 2456, 403, 377 ]

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

[ 850, 1295, 379, 447, 5377, 287, 2830, 498, 296, 3433, 819, 438, 3916, 25181, 2315, 530, 199, 2969, 1628, 16015, 3036, 2725, 427, 10356, 481, 55, 1771, 728, 14128, 13986, 954, 13569, 32796, 5726, 355, 19024, 199, 30100, 1530, 782, 16601, 41746, 603, 319, 797, 3566, 407, 5499, 3113, 492, 369, 1210, 1679, 322, 782, 485, 5559, 199, 10703, 527, 41329, 42489, 9434, 5099, 296, 1333, 369, 6660, 7478, 297, 520, 705, 43538, 560, 3671, 438, 734, 199, 2343, 333, 22552, 37474, 290, 1635, 280, 661, 19231, 318, 25184, 5429, 301, 2473, 327, 3124, 7238, 5992, 35694, 416, 199, 39198, 386, 14877, 1021, 30343, 30197, 1225, 630, 48431, 494, 6334, 819, 11140, 333, 2210, 379, 502, 9448, 1542, 199, 6827, 787, 370, 1107, 343, 804, 474, 1694, 733, 359, 1054, 427, 4954, 469, 29962, 541, 278, 573, 435, 644, 643, 331, 26220, 199, 333, 401, 25947, 417, 975, 3036, 751, 2240, 2230, 10110, 9609, 395, 3352, 608, 1528, 351, 10862, 1350, 294, 537, 27654, 199, 2327, 283, 573, 269, 1966, 687, 261, 6348, 13940, 1080, 609, 32217, 2976, 635, 5492, 36041, 5765, 2705, 907, 199, 9343, 444, 938, 4649, 1296, 25633, 1426, 317, 692, 7254, 358, 5147, 2404, 1420, 297, 9436, 42960, 1989, 7524, 199, 39386, 2186, 722, 7323, 323, 3022, 12094, 6861, 874, 7244, 13570, 49027, 9051, 349, 334, 3229, 5726, 490, 199, 1710, 284, 7575, 13362, 639, 1506, 10344, 554, 41536, 1800, 1280, 14983, 404, 1539, 1083, 361, 8803, 37171, 1163, 41, 199, 709, 490, 27724, 17582, 1623, 384, 4267, 20891, 706, 15156, 15814, 11718, 616, 1778, 1745, 443, 5294, 1156, 3952, 199, 13627, 14403, 669, 286, 17438, 2076, 321, 33345, 7818, 467, 1794, 545, 442, 422, 476, 1819, 11176, 5884, 870, 14828, 199, 526, 3157, 10244, 2164, 3703, 327, 554, 547, 530, 1533, 379, 3685, 9131, 43745, 5037, 8958, 16303, 2736, 405, 199, 848, 997, 57, 1144, 50, 1505, 29189, 498, 36128, 1322, 2160, 792, 1159, 1075, 312, 713, 10505, 35056, 745, 1327, 33, 199, 2122, 4292, 834, 199, 0, 199, 1028, 290, 21800, 1432, 4013, 530, 20158, 459, 1557, 11656, 2785, 927, 519, 8790, 4631, 324, 2776, 398, 1118, 443, 199, 44, 7836, 2682, 599, 4366, 365, 539, 435, 27101, 780, 19071, 1564, 14181, 277, 1929, 759, 4335, 265, 3977, 1517, 52, 199, 485, 971, 390, 8287, 3795, 2356, 383, 1687, 4530, 654, 9540, 894, 442, 545, 1036, 34746, 1086, 357, 948, 43682, 199, 1835, 1032, 4084, 470, 11238, 2947, 2065, 457, 13143, 425, 1031, 760, 1061, 320, 429, 4220, 567, 5823, 1718, 6432, 48, 199, 22127, 1763, 1240, 1745, 39973, 1659, 611, 546, 352, 10636, 13102, 907, 3081, 456, 10808, 754, 686, 358, 11155, 435, 199, 9216, 377, 654, 858, 15785, 295, 2613, 695, 11509, 265, 994, 278, 535, 9130, 381, 8344, 766, 260, 1158, 25708, 329, 199, 10678, 325, 24847, 1048, 3048, 2046, 447, 1228, 35713, 1101, 23259, 795, 379, 422, 25050, 1718, 26730, 440, 388, 10634, 199, 591, 522, 1266, 10371, 1980, 1112, 1503, 331, 857, 344, 30980, 4477, 671, 10302, 278, 16489, 421, 3633, 1896, 285, 1855, 199, 16063, 3652, 1108, 390, 850, 887 ]

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

[ 363, 727, 6962, 13327, 928, 1421, 4706, 1308, 260, 1601, 560, 983, 382, 1045, 199, 34672, 1975, 24446, 2123, 295, 2309, 484, 13589, 2480, 260, 742, 4374, 1539, 35672, 18880, 1531, 699, 355, 927, 49, 199, 411, 16577, 1875, 331, 10695, 656, 44268, 674, 291, 1416, 513, 360, 6143, 288, 2323, 301, 1419, 1324, 42304, 1328, 505, 199, 12756, 32774, 857, 2237, 397, 1154, 44955, 6059, 1192, 2687, 882, 502, 8706, 682, 9751, 24477, 314, 4221, 33, 199, 461, 751, 262, 2042, 44810, 1046, 14922, 3106, 1325, 398, 31129, 327, 5841, 1196, 332, 707, 3202, 27070, 4264, 725, 199, 12440, 412, 8502, 2091, 1248, 278, 699, 296, 801, 14817, 7281, 690, 49923, 273, 1398, 33686, 23791, 4753, 199, 38349, 525, 420, 653, 487, 543, 270, 4780, 41067, 707, 2196, 365, 3726, 1094, 264, 14660, 1389, 5427, 1148, 271, 199, 26205, 19739, 9143, 3119, 18200, 8075, 593, 1608, 26781, 24195, 552, 261, 573, 17881, 4856, 483, 5068, 313, 937, 199, 51, 23052, 1046, 618, 40258, 16483, 269, 3975, 1332, 321, 19277, 439, 442, 6903, 199, 0, 199, 22756, 406, 3834, 327, 521, 406, 14051, 23998, 645, 277, 1475, 378, 23811, 5146, 503, 2432, 934, 339, 1081, 340, 1157, 199, 299, 2240, 8119, 1509, 30340, 350, 7500, 1650, 1132, 261, 2786, 6501, 2697, 349, 3211, 346, 6206, 9172, 1280, 619, 199, 19013, 656, 368, 927, 16461, 479, 9388, 370, 2077, 372, 2411, 327, 1407, 1429, 464, 2186, 16982, 334, 1496, 438, 386, 38402, 199, 24502, 355, 471, 4615, 296, 2356, 908, 4668, 264, 1297, 19396, 3290, 1740, 14113, 400, 762, 318, 1631, 7516, 389, 199, 2922, 339, 6501, 19505, 1168, 7032, 318, 576, 292, 578, 8565, 40108, 2225, 521, 552, 10815, 1381, 342, 1475, 933, 390, 199, 3325, 429, 12804, 13585, 318, 2053, 296, 1445, 6595, 2375, 57, 1639, 344, 19840, 7148, 692, 13451, 41790, 10793, 199, 1054, 389, 19304, 955, 1338, 895, 398, 1301, 1997, 32158, 787, 19168, 280, 1026, 18297, 351, 15300, 9103, 312, 2182, 199, 487, 808, 8346, 1097, 2581, 2435, 335, 1943, 819, 596, 543, 46924, 750, 599, 23929, 17701, 1046, 1204, 14299, 199, 31749, 361, 550, 371, 1743, 49, 1579, 324, 366, 35598, 1199, 9326, 372, 7787, 1253, 2132, 13172, 348, 972, 7376, 279, 199, 340, 1580, 544, 578, 3901, 263, 2002, 580, 21801, 35300, 349, 1307, 412, 875, 816, 23885, 23018, 4223, 885, 259, 199, 483, 406, 17735, 3157, 1534, 2073, 1804, 10419, 382, 8621, 350, 8697, 3515, 405, 394, 9611, 300, 395, 1305, 6385, 41, 199, 2032, 972, 315, 1035, 513, 4782, 1373, 433, 1444, 531, 267, 687, 263, 1593, 333, 1563, 558, 15986, 6637, 32206, 14709, 199, 374, 1479, 3755, 272, 1461, 15233, 475, 808, 783, 298, 1220, 11022, 8783, 333, 5074, 1084, 370, 396, 2581, 1651, 3860, 199, 271, 16580, 296, 40485, 592, 342, 1810, 2358, 47889, 456, 10281, 1736, 22841, 7217, 25853, 259, 783, 269, 2801, 199, 5945, 515, 12939, 29588, 389, 8178, 275, 493, 9276, 413, 386, 424, 955, 13197, 30471, 1220, 1438, 36444, 961, 1201, 46, 199, 26512, 1182, 342, 1418, 35269, 5006, 1187, 334, 22159, 1735, 621, 300, 2945, 16844, 1542 ]

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

[ 400, 409, 537, 578, 2182, 199, 37499, 527, 490, 24702, 18060, 1277, 6688, 13653, 1424, 619, 9464, 4944, 3289, 534, 9386, 9911, 664, 2713, 199, 44, 16050, 690, 287, 866, 674, 540, 360, 888, 1864, 2044, 321, 2989, 1658, 298, 6782, 752, 3972, 287, 2719, 1420, 281, 199, 40, 1562, 326, 3969, 2066, 8033, 1216, 1546, 32676, 976, 2410, 436, 4992, 331, 5331, 417, 2887, 199, 0, 199, 382, 391, 23981, 452, 1823, 427, 1000, 479, 1152, 1132, 13126, 50, 2229, 2561, 513, 35024, 1164, 2122, 1685, 428, 3064, 358, 199, 996, 2075, 30595, 11313, 361, 2209, 12328, 937, 762, 4437, 413, 1253, 279, 1825, 3481, 327, 986, 1497, 38896, 3202, 199, 11752, 787, 401, 497, 537, 492, 8814, 298, 5591, 16497, 258, 1139, 266, 14658, 600, 14640, 872, 6300, 790, 893, 199, 22542, 2479, 1476, 318, 1571, 27348, 611, 2989, 899, 947, 264, 471, 398, 3456, 1652, 367, 1359, 580, 32966, 375, 555, 199, 740, 382, 687, 4159, 7382, 670, 536, 467, 2810, 12352, 353, 4013, 2888, 7022, 513, 362, 557, 835, 312, 2529, 271, 199, 647, 45466, 50041, 742, 1573, 444, 4685, 593, 5527, 345, 2515, 1580, 1495, 885, 357, 35212, 4978, 344, 781, 50, 199, 37, 443, 24847, 5439, 1356, 341, 547, 334, 11445, 698, 17813, 1027, 12622, 389, 1983, 6003, 403, 364, 1473, 24035, 295, 199, 723, 261, 672, 7157, 15264, 819, 16063, 896, 39685, 283, 1242, 41170, 469, 334, 7283, 814, 850, 902, 301, 512, 199, 2331, 9122, 467, 327, 1060, 452, 901, 267, 849, 433, 5546, 27046, 300, 500, 5123, 414, 497, 562, 4584, 2795, 9693, 199, 6881, 7088, 371, 35784, 1353, 970, 6087, 580, 418, 886, 13090, 1269, 1748, 1905, 1464, 9526, 8859, 2095, 199, 1318, 4836, 1393, 3305, 362, 1268, 20188, 285, 2078, 40271, 7442, 269, 3090, 325, 1649, 297, 23350, 47782, 1281, 199, 447, 3353, 1300, 301, 530, 427, 6612, 877, 11047, 3426, 665, 449, 47759, 13647, 885, 425, 342, 2109, 406, 3395, 199, 1568, 16090, 4021, 714, 29413, 4021, 503, 764, 19601, 642, 1424, 477, 714, 335, 1520, 23527, 12134, 1621, 10788, 199, 300, 3027, 42125, 401, 1122, 10586, 1538, 258, 732, 711, 7994, 433, 615, 325, 503, 17954, 331, 1644, 16498, 287, 27230, 199, 6804, 263, 579, 31453, 3748, 287, 1642, 48158, 4282, 1273, 1548, 3686, 29514, 1123, 1357, 367, 2330, 913, 338, 482, 199, 278, 2388, 3186, 1621, 403, 2669, 2669, 22128, 4779, 403, 6671, 316, 645, 4705, 373, 7168, 1477, 653, 7426, 199, 924, 313, 503, 6356, 19057, 3971, 3175, 1568, 268, 1300, 428, 4298, 624, 3837, 25693, 18630, 663, 41537, 199, 5032, 1638, 28387, 360, 490, 10512, 367, 403, 3479, 37771, 31801, 734, 407, 31801, 684, 18879, 43669, 434, 199, 341, 2299, 785, 277, 16170, 1949, 1536, 3300, 16255, 907, 426, 367, 2086, 292, 22823, 10520, 419, 10891, 680, 410, 1443, 199, 313, 786, 3173, 199, 0, 199, 1271, 708, 1969, 279, 500, 1389, 1785, 38952, 12862, 38097, 2841, 292, 4042, 265, 39009, 2307, 7524, 379, 4779, 199, 11412, 1005, 500, 4244, 1308, 2763, 425, 3734, 2020, 263, 1772, 1678, 7392, 1678, 605, 352, 12946, 621, 296, 458 ]

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

[ 2225, 11148, 199, 2214, 329, 21421, 12889, 708, 1650, 16137, 688, 55, 1202, 319, 1026, 461, 2000, 10321, 31261, 2405, 265, 1096, 836, 199, 484, 9158, 335, 3628, 6161, 1949, 2093, 445, 1457, 1407, 1625, 319, 2114, 20074, 352, 339, 3030, 1088, 28745, 446, 3634, 199, 2422, 497, 662, 277, 1308, 393, 14185, 446, 20817, 2385, 824, 11752, 22191, 38281, 1169, 462, 3600, 1709, 2081, 32227, 199, 9070, 34342, 1202, 664, 952, 350, 16825, 497, 27463, 403, 1046, 8890, 27971, 1013, 776, 279, 2037, 293, 1216, 20802, 199, 266, 771, 391, 1211, 24873, 926, 23388, 1898, 8957, 439, 1625, 1972, 470, 12171, 15467, 488, 701, 260, 535, 912, 353, 199, 749, 15566, 291, 2818, 4581, 273, 6304, 419, 15057, 19964, 6589, 21473, 276, 864, 687, 698, 1050, 7656, 372, 199, 379, 1406, 441, 357, 725, 33880, 675, 275, 1174, 32169, 30529, 46968, 1944, 7413, 529, 441, 446, 385, 5722, 411, 15508, 199, 13700, 450, 371, 13553, 2590, 20606, 3209, 2753, 563, 28482, 13393, 726, 14200, 1458, 3235, 346, 2358, 262, 27302, 199, 301, 991, 294, 1137, 463, 1507, 480, 503, 463, 5262, 985, 43983, 5559, 7148, 1933, 2847, 556, 293, 1099, 410, 399, 1855, 199, 276, 550, 1305, 450, 1232, 5962, 32436, 27096, 1354, 6133, 1510, 4172, 416, 2117, 1297, 1563, 600, 1761, 774, 379, 588, 199, 37883, 12509, 820, 455, 375, 9225, 43801, 274, 6845, 604, 351, 1249, 2753, 6645, 1317, 880, 1930, 39567, 6820, 404, 199, 295, 1492, 350, 8138, 291, 640, 799, 532, 9027, 969, 1082, 313, 2299, 3116, 317, 718, 258, 3197, 367, 1769, 1412, 1179, 199, 1420, 488, 28648, 908, 18053, 5267, 1115, 9080, 1141, 14516, 1010, 989, 5919, 39242, 693, 277, 8087, 357, 199, 7471, 844, 963, 8357, 292, 842, 9887, 552, 6579, 7218, 298, 2598, 349, 423, 3252, 861, 10237, 16962, 1811, 493, 38, 199, 347, 1525, 1330, 655, 376, 530, 281, 522, 293, 1872, 31145, 1010, 405, 339, 1871, 265, 1838, 1736, 295, 4960, 4940, 8110, 199, 13452, 1805, 293, 2258, 2191, 1265, 6582, 1268, 21502, 385, 6633, 1352, 274, 447, 12505, 327, 7716, 260, 1869, 20250, 199, 3637, 327, 2333, 257, 1915, 7298, 23185, 11186, 1256, 6059, 1638, 1010, 7240, 341, 483, 3539, 2523, 397, 1915, 331, 199, 663, 4654, 1075, 199, 0, 199, 3138, 2945, 33518, 269, 1683, 10677, 298, 3416, 349, 433, 1424, 2435, 735, 2097, 31963, 1434, 12259, 2980, 746, 581, 295, 199, 3073, 392, 458, 6908, 726, 25384, 830, 9015, 457, 1966, 57, 1422, 474, 7425, 3126, 9826, 1766, 426, 34880, 22324, 35, 199, 417, 596, 50234, 10955, 4805, 370, 382, 6904, 332, 1063, 396, 1638, 573, 314, 16023, 1429, 319, 1476, 1586, 14896, 642, 199, 1519, 18130, 398, 1626, 13400, 646, 1818, 656, 8662, 6825, 30221, 47429, 13445, 381, 1351, 30054, 406, 425, 16838, 368, 199, 27517, 371, 598, 530, 502, 475, 422, 999, 293, 3504, 2071, 1281, 1387, 7180, 1230, 5635, 400, 691, 2192, 501, 527, 1071, 199, 331, 713, 32111, 1357, 318, 1416, 463, 4748, 2280, 331, 3405, 323, 1352, 1991, 590, 25958, 10918, 3975, 27383, 5720, 199, 581, 355, 381, 1069, 413, 12326, 36106, 662 ]

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

[ 9527, 28981, 273, 1550, 506, 4918, 356, 1641, 1645, 1046, 47788, 4633, 199, 43882, 679, 279, 2048, 1027, 5168, 621, 12247, 819, 346, 697, 282, 18183, 9844, 1498, 346, 1374, 4771, 1062, 199, 1010, 282, 671, 383, 1194, 23682, 29145, 809, 490, 1992, 291, 3117, 3271, 288, 855, 404, 4840, 1233, 37010, 436, 199, 55, 1326, 377, 458, 435, 1086, 410, 1796, 551, 651, 5250, 325, 1766, 1392, 902, 11752, 361, 1252, 1571, 351, 3045, 995, 435, 33, 199, 18259, 8218, 350, 1805, 811, 555, 1644, 16074, 466, 18374, 390, 2659, 264, 15095, 3231, 447, 995, 435, 770, 335, 8218, 199, 350, 1805, 811, 555, 1644, 16074, 466, 18374, 390, 2659, 40763, 4988, 839, 370, 3456, 6694, 415, 19448, 1342, 986, 199, 408, 706, 262, 833, 1567, 280, 2406, 1059, 8110, 269, 2473, 264, 2169, 277, 16463, 283, 30968, 1215, 286, 2437, 33508, 870, 199, 453, 326, 5331, 3826, 424, 2735, 950, 340, 916, 550, 345, 712, 9725, 6200, 31933, 5858, 312, 7160, 5831, 258, 199, 315, 658, 319, 738, 5253, 45189, 485, 322, 1733, 731, 468, 619, 1093, 360, 643, 504, 374, 3751, 610, 1167, 2638, 8095, 199, 36417, 974, 783, 319, 559, 3263, 375, 2365, 5487, 485, 264, 3685, 351, 5407, 315, 2338, 6353, 32832, 4366, 341, 199, 21201, 27790, 318, 783, 14177, 427, 20634, 3367, 48700, 662, 6159, 892, 2587, 1949, 928, 2926, 3033, 526, 19685, 199, 23356, 608, 883, 458, 526, 549, 551, 541, 2251, 19062, 35058, 2511, 39533, 21361, 4687, 2316, 27367, 17837, 42345, 199, 407, 36383, 3861, 274, 1712, 36, 701, 2485, 662, 7496, 14186, 523, 892, 319, 671, 40, 959, 513, 8336, 2524, 281, 199, 4243, 631, 1014, 199, 0, 199, 31315, 996, 38090, 2149, 341, 2934, 371, 576, 467, 2427, 1754, 48, 2547, 374, 935, 3545, 486, 24909, 463, 432, 1750, 493, 199, 1187, 634, 6532, 403, 557, 4332, 1283, 563, 5759, 807, 7347, 2066, 49, 56, 50147, 3459, 1163, 14965, 8056, 918, 199, 39856, 288, 1992, 419, 2975, 5032, 474, 406, 13477, 1796, 34411, 22415, 1012, 389, 1116, 332, 2994, 519, 4220, 602, 199, 827, 286, 532, 2592, 550, 8726, 2813, 3285, 1820, 2096, 945, 271, 1093, 1830, 2115, 517, 347, 776, 1399, 12484, 199, 261, 2745, 716, 18399, 1957, 644, 636, 22853, 609, 24969, 380, 368, 2038, 471, 6114, 440, 2260, 485, 745, 444, 392, 199, 799, 386, 1098, 33155, 769, 2387, 289, 1289, 14871, 38075, 664, 3102, 37647, 6596, 667, 4624, 6143, 439, 517, 199, 30136, 1477, 26338, 575, 371, 531, 8621, 335, 2182, 1022, 353, 10734, 409, 430, 1684, 36624, 2983, 481, 808, 296, 1429, 199, 342, 871, 315, 1054, 646, 41351, 347, 29912, 657, 415, 1851, 259, 840, 1899, 361, 2486, 378, 2046, 430, 55, 829, 12325, 199, 1885, 336, 854, 319, 3528, 339, 2207, 27148, 520, 6956, 361, 847, 280, 1548, 2976, 3887, 274, 994, 43, 2569, 6066, 199, 44996, 910, 285, 523, 1242, 1095, 264, 2399, 4923, 375, 960, 1067, 437, 18926, 4112, 608, 362, 8521, 35, 1466, 27587, 199, 1067, 1814, 396, 8307, 2315, 16441, 296, 621, 5139, 664, 410, 327, 2515, 40, 1325, 4795, 558 ]

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

[ 24847, 296, 21698, 4498, 199, 15393, 2211, 461, 327, 14378, 1076, 6303, 498, 2044, 40844, 2657, 1526, 1584, 767, 330, 1705, 413, 3459, 1163, 33, 199, 2771, 454, 1014, 689, 712, 288, 1992, 419, 2975, 39655, 378, 13477, 2064, 34411, 22415, 1012, 389, 1335, 421, 5523, 199, 4127, 900, 36, 564, 2620, 532, 2592, 6377, 1151, 2813, 3285, 1820, 2096, 945, 271, 1093, 1830, 2115, 517, 7381, 199, 438, 1399, 294, 1327, 2745, 716, 768, 1530, 275, 644, 636, 22853, 609, 360, 442, 380, 368, 1849, 416, 7243, 1289, 621, 199, 327, 797, 664, 1381, 37647, 9943, 667, 4624, 6143, 439, 517, 712, 270, 1477, 282, 2052, 27569, 371, 400, 1418, 2182, 199, 1022, 364, 10734, 40960, 1565, 36624, 2983, 481, 808, 296, 1429, 342, 871, 315, 1054, 646, 41351, 347, 29912, 1706, 199, 27673, 1851, 259, 931, 1899, 433, 2486, 378, 1569, 430, 55, 829, 5393, 36434, 854, 319, 3528, 339, 2207, 27148, 520, 33, 199, 39, 10752, 847, 280, 1548, 2976, 3887, 274, 994, 49, 2569, 6066, 44996, 910, 285, 523, 1242, 1095, 264, 2399, 754, 199, 32064, 960, 545, 199, 0, 199, 382, 1867, 10444, 1251, 1176, 6246, 453, 4692, 324, 587, 334, 513, 12340, 344, 12780, 2745, 2015, 534, 5158, 602, 6507, 199, 898, 3555, 372, 964, 1997, 4122, 506, 4601, 543, 1089, 23606, 4725, 3777, 32759, 619, 314, 555, 794, 31908, 199, 3702, 767, 3541, 266, 545, 30417, 24482, 8127, 1141, 261, 506, 473, 32224, 750, 393, 996, 879, 1946, 12344, 8654, 199, 31521, 1672, 674, 417, 13321, 1136, 385, 1069, 354, 485, 3448, 458, 462, 338, 1533, 6931, 578, 31155, 389, 31066, 34441, 199, 5706, 3030, 33697, 4134, 19640, 2111, 287, 640, 1073, 349, 1569, 969, 733, 684, 5349, 937, 7741, 8853, 49, 199, 257, 552, 11490, 439, 4407, 3953, 3629, 719, 2785, 7817, 628, 1958, 22501, 523, 1006, 41887, 3000, 39245, 7369, 199, 871, 434, 7145, 277, 1598, 10068, 1163, 30002, 751, 334, 644, 3364, 689, 336, 1890, 4086, 315, 2026, 375, 839, 199, 15033, 1122, 7052, 1661, 335, 2245, 317, 1242, 3518, 1785, 18595, 326, 4143, 864, 3885, 37427, 538, 371, 3513, 199, 428, 273, 722, 4809, 1191, 314, 1220, 1642, 292, 1548, 349, 576, 287, 1954, 329, 541, 592, 9154, 40, 1921, 392, 376, 545, 5467, 199, 792, 433, 1196, 335, 23923, 1061, 277, 13790, 913, 369, 10808, 3642, 464, 437, 1245, 35952, 9603, 1970, 6494, 612, 199, 734, 699, 922, 647, 717, 1232, 1274, 387, 962, 871, 11275, 611, 259, 841, 13610, 432, 29810, 1530, 1815, 1367, 199, 44, 1000, 1404, 11096, 3011, 24430, 1956, 633, 394, 398, 401, 809, 400, 719, 14457, 411, 430, 2508, 36375, 683, 573, 391, 199, 1303, 3878, 468, 7171, 547, 744, 840, 2751, 2181, 1031, 267, 1322, 541, 4935, 669, 470, 419, 15868, 15093, 1237, 2861, 199, 4072, 3502, 1159, 7045, 373, 1089, 271, 1552, 18550, 880, 8966, 321, 419, 14949, 39096, 2212, 6387, 1084, 531, 199, 39, 2036, 259, 2045, 326, 2026, 18256, 524, 390, 1082, 23127, 28650, 312, 1788, 856, 6159, 8889, 27951, 1958, 724, 199, 14471, 273, 943, 356, 2974, 438, 1676, 1300 ]

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

[ 522, 9605, 314, 1344, 7224, 711, 9792, 1451, 28029, 985, 26132, 199, 12007, 269, 786, 292, 952, 2026, 530, 47404, 12440, 21751, 1405, 443, 27365, 2149, 751, 337, 1331, 5323, 1191, 199, 11396, 880, 28587, 3602, 673, 1623, 374, 1108, 374, 422, 8515, 264, 20859, 18711, 673, 16861, 44824, 35756, 199, 276, 28065, 38468, 491, 895, 20296, 1247, 494, 551, 7874, 374, 497, 4805, 1327, 31518, 3456, 11901, 815, 258, 199, 325, 16872, 3202, 199, 0, 199, 1244, 802, 257, 2357, 6452, 36964, 712, 20765, 2365, 533, 3028, 327, 1387, 2024, 975, 295, 797, 36874, 19974, 440, 199, 30515, 388, 17065, 521, 1106, 330, 1049, 581, 11486, 503, 470, 262, 1873, 448, 13567, 329, 850, 390, 33898, 468, 10865, 45, 199, 517, 4746, 380, 20065, 13302, 1258, 16520, 273, 1588, 291, 913, 597, 33756, 433, 820, 44268, 2305, 2148, 1791, 345, 199, 2610, 301, 1192, 3398, 264, 1942, 275, 1806, 1349, 273, 902, 324, 454, 667, 265, 622, 365, 1834, 881, 320, 3997, 433, 14298, 199, 290, 867, 44201, 400, 450, 1719, 1915, 25870, 42816, 2880, 12187, 453, 4373, 443, 1925, 1134, 318, 651, 12257, 481, 199, 46221, 516, 6936, 9619, 348, 1090, 5219, 1803, 10131, 555, 5105, 3099, 1417, 45248, 1247, 391, 395, 621, 437, 38, 199, 279, 11587, 4503, 654, 335, 3799, 421, 818, 15779, 551, 779, 439, 881, 292, 1153, 327, 2045, 452, 12746, 441, 1878, 271, 199, 9260, 2520, 35, 1151, 621, 8912, 691, 35693, 7689, 3886, 7900, 528, 20024, 776, 274, 992, 1052, 7493, 1465, 48, 199, 2476, 540, 8589, 282, 5716, 9430, 5043, 365, 3001, 467, 9730, 30527, 3478, 568, 371, 389, 3779, 453, 1707, 4764, 199, 10730, 318, 841, 331, 1566, 779, 24152, 20171, 447, 36585, 5910, 1380, 358, 356, 683, 3180, 282, 1989, 315, 1416, 34766, 199, 14142, 2272, 427, 5071, 33249, 312, 20558, 735, 49864, 258, 584, 43764, 432, 1856, 27694, 774, 510, 2292, 39069, 331, 199, 291, 1186, 6079, 258, 1567, 377, 930, 15642, 7057, 650, 369, 1642, 2303, 6669, 913, 346, 1416, 478, 2018, 2894, 322, 199, 493, 329, 11980, 644, 626, 482, 2135, 1272, 457, 32217, 1167, 39069, 2880, 265, 527, 537, 691, 5479, 13653, 326, 199, 8538, 291, 959, 11063, 30903, 1002, 507, 4605, 650, 275, 841, 7126, 586, 22500, 11186, 1416, 281, 2018, 588, 199, 284, 2900, 329, 16732, 582, 20558, 926, 40, 2763, 4038, 346, 4452, 797, 836, 38539, 1501, 463, 5347, 24439, 10459, 199, 1645, 2316, 3202, 10007, 450, 485, 329, 575, 340, 1085, 2303, 27872, 733, 346, 468, 1793, 2018, 38471, 2498, 30080, 349, 199, 312, 628, 395, 962, 1569, 582, 5040, 5146, 339, 2135, 9381, 2429, 324, 1167, 22024, 831, 619, 49862, 10105, 14343, 199, 39, 199, 0, 199, 2161, 5601, 605, 1637, 9771, 2147, 26394, 2255, 1369, 597, 4550, 1657, 3600, 7606, 1184, 265, 1184, 1150, 317, 199, 265, 1184, 265, 1801, 6790, 358, 371, 1227, 464, 335, 742, 1823, 413, 947, 446, 2513, 25938, 518, 484, 25802, 2263, 1384, 199, 2771, 3419, 2526, 367, 439, 7614, 16195, 1256, 10591, 1628, 541, 371, 34423, 3173, 450, 293, 1217, 760, 6014, 439, 199, 452 ]

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

[ 7132, 3781, 7065, 755, 38397, 41343, 4487, 528, 28665, 11162, 698, 260, 1426, 640, 24200, 287, 49443, 5429, 199, 367, 841, 9227, 9667, 660, 416, 497, 376, 1466, 14213, 394, 978, 12779, 690, 553, 10796, 27736, 775, 5425, 16939, 509, 199, 37, 28162, 8845, 6002, 702, 562, 8734, 44538, 640, 1259, 277, 2338, 37951, 3271, 321, 831, 1722, 283, 1043, 442, 488, 199, 456, 9326, 5693, 808, 6619, 44884, 1796, 12862, 3610, 1212, 1668, 517, 3071, 733, 13572, 1256, 339, 2708, 199, 1525, 9215, 732, 38775, 546, 580, 1161, 743, 376, 1862, 450, 1225, 15424, 418, 699, 12873, 412, 4021, 1017, 271, 3213, 199, 1863, 471, 383, 691, 267, 3468, 2403, 1700, 1522, 764, 971, 14495, 333, 5121, 771, 260, 2638, 1730, 377, 6434, 2783, 199, 44, 1201, 472, 2809, 430, 13968, 2169, 1426, 1060, 2295, 327, 7007, 387, 363, 2179, 2443, 486, 9265, 7684, 7883, 33, 199, 418, 1132, 1812, 1727, 26141, 10891, 1497, 32662, 1613, 6140, 458, 16005, 276, 663, 295, 1177, 2001, 410, 21928, 4858, 199, 11368, 396, 2592, 14015, 387, 17376, 374, 1574, 1379, 2053, 453, 2053, 29291, 6763, 670, 331, 6506, 301, 10877, 752, 199, 301, 694, 20293, 1011, 39313, 8105, 971, 331, 1045, 6609, 881, 301, 2053, 327, 1484, 7291, 1323, 6322, 847, 317, 199, 13067, 930, 9244, 372, 1760, 511, 3976, 25156, 966, 1655, 413, 1179, 8345, 291, 7522, 1081, 1545, 318, 6760, 434, 199, 51, 8168, 895, 331, 1618, 1727, 6223, 331, 394, 2053, 7918, 401, 16833, 2053, 6918, 3719, 291, 36630, 341, 1291, 199, 39, 26699, 854, 1657, 572, 3356, 17145, 736, 1961, 2701, 348, 3460, 43311, 334, 4385, 1315, 412, 702, 427, 7607, 902, 199, 275, 549, 3090, 1895, 4951, 271, 1070, 199, 0, 199, 432, 5671, 1328, 1789, 1484, 6064, 331, 11153, 578, 21775, 10220, 2692, 7528, 318, 1082, 530, 10753, 1048, 33, 199, 23545, 28269, 1507, 313, 1954, 23498, 293, 891, 872, 27793, 25007, 863, 378, 698, 1206, 362, 1522, 527, 1854, 618, 199, 39, 16533, 581, 7211, 624, 31722, 13894, 588, 441, 5015, 1082, 272, 586, 425, 365, 1504, 600, 687, 275, 2856, 2865, 434, 199, 392, 1734, 33721, 296, 10580, 803, 8584, 578, 260, 1980, 394, 4148, 844, 643, 4848, 6089, 6596, 5335, 36003, 199, 329, 1847, 282, 2494, 472, 409, 2090, 7780, 1271, 438, 2318, 396, 2903, 950, 429, 786, 360, 1415, 466, 727, 345, 7909, 199, 42143, 1964, 274, 1554, 7941, 1121, 406, 10036, 850, 1095, 1418, 294, 897, 293, 499, 1129, 976, 21039, 350, 41995, 199, 10921, 396, 2421, 855, 386, 622, 337, 2203, 6832, 703, 486, 330, 395, 34034, 55, 826, 29682, 12986, 325, 717, 1749, 199, 15268, 812, 410, 5766, 370, 13270, 895, 374, 1267, 38423, 1241, 41561, 1124, 646, 327, 4839, 436, 731, 14106, 2094, 199, 3428, 298, 24950, 571, 2212, 14179, 497, 786, 287, 731, 18627, 1467, 940, 340, 13639, 488, 8782, 1888, 644, 48, 199, 3636, 36972, 2195, 697, 4985, 462, 1425, 335, 1133, 321, 1271, 422, 37777, 1003, 391, 1000, 371, 1022, 38321, 1419, 199, 439, 5419, 1650, 537, 337, 2266, 301, 1822, 425, 378, 1808, 14319, 421, 1242 ]

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

[ 1170, 1607, 13310, 350, 3698, 4214, 321, 199, 13840, 4419, 857, 2708, 16763, 588, 17787, 637, 10473, 30865, 1283, 969, 14801, 1405, 457, 1176, 21871, 4192, 199, 3734, 2522, 475, 422, 345, 1108, 47401, 982, 358, 491, 33386, 1125, 3766, 2425, 550, 410, 362, 45716, 718, 1860, 595, 199, 289, 1899, 3218, 3086, 1282, 5080, 368, 1549, 2402, 362, 1402, 695, 402, 911, 356, 1262, 37772, 5920, 38666, 817, 199, 1508, 14846, 16259, 341, 3636, 399, 865, 553, 18245, 297, 490, 322, 4507, 34763, 2380, 298, 3727, 275, 1369, 1735, 265, 199, 484, 325, 5938, 372, 5784, 364, 1873, 1804, 429, 552, 20855, 1669, 263, 2193, 12071, 347, 1475, 369, 447, 17382, 4225, 38, 199, 404, 1587, 921, 296, 1853, 1009, 19775, 49489, 1177, 301, 913, 448, 28456, 410, 1019, 1380, 501, 281, 24596, 1768, 439, 18659, 199, 12809, 608, 1869, 296, 385, 10905, 33673, 834, 490, 21324, 1438, 10871, 32074, 360, 1911, 340, 6360, 1978, 649, 31337, 199, 1027, 383, 10162, 25513, 1878, 453, 41790, 5984, 8883, 14268, 1004, 18683, 1854, 2337, 5192, 1416, 22713, 403, 199, 14389, 484, 40866, 199, 0, 199, 1147, 277, 1239, 11804, 678, 3419, 1361, 323, 2331, 15386, 2482, 14993, 6687, 908, 9846, 2476, 575, 5896, 35728, 199, 345, 10430, 1168, 22693, 893, 276, 901, 1098, 18655, 2748, 283, 3435, 15215, 12313, 30364, 41816, 474, 375, 370, 43, 199, 2917, 21137, 366, 2258, 474, 2126, 2964, 509, 3507, 29091, 318, 718, 577, 19447, 1346, 391, 2879, 541, 18167, 1556, 492, 295, 199, 1719, 2067, 369, 14692, 453, 471, 487, 1517, 349, 1098, 601, 382, 876, 9345, 550, 498, 1878, 596, 6980, 510, 5497, 199, 39, 908, 359, 30655, 3746, 287, 2892, 3263, 715, 2444, 18128, 525, 732, 611, 882, 419, 722, 35999, 264, 1391, 199, 258, 959, 398, 18230, 330, 3414, 7296, 785, 1465, 691, 423, 4192, 664, 15391, 44533, 2100, 4060, 2399, 3200, 199, 16250, 339, 642, 1842, 1865, 445, 4595, 2288, 455, 6178, 2549, 455, 449, 551, 608, 481, 282, 3153, 343, 630, 16756, 987, 199, 31019, 9208, 1406, 378, 1850, 628, 314, 8703, 49484, 5105, 289, 2292, 4076, 23043, 886, 12944, 906, 286, 676, 35, 199, 44, 46497, 39421, 13766, 409, 1058, 542, 16826, 263, 580, 17760, 319, 2327, 4195, 2559, 49234, 2786, 11802, 1218, 199, 37361, 3606, 42759, 34183, 888, 650, 1184, 380, 1168, 341, 701, 352, 534, 1014, 419, 350, 2671, 444, 373, 3370, 23691, 199, 11050, 400, 376, 669, 30362, 6822, 939, 489, 802, 3615, 743, 471, 15866, 930, 393, 14264, 370, 465, 1237, 382, 5593, 199, 3084, 509, 2269, 668, 47941, 339, 870, 418, 21160, 459, 852, 578, 5803, 1059, 379, 366, 375, 28520, 1273, 1707, 47695, 199, 39, 1479, 378, 18603, 1212, 334, 2230, 7492, 494, 25319, 1300, 5593, 351, 1428, 462, 6524, 27197, 3315, 4823, 503, 41, 199, 258, 1416, 627, 865, 4025, 7948, 17067, 678, 322, 469, 10639, 467, 2620, 41995, 12558, 561, 40067, 729, 1335, 33, 199, 291, 7893, 432, 4678, 3946, 7877, 550, 4955, 19836, 9246, 1289, 318, 1879, 2187, 17639, 1475, 8383, 359, 199, 2105, 1693, 1871, 359, 913, 605, 1228, 273, 2522 ]

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

[ 1888, 472, 284, 1056, 273, 762, 768, 1564, 2010, 1541, 431, 24796, 199, 407, 762, 382, 507, 441, 1869, 1951, 57, 889, 37, 9432, 509, 4115, 406, 23052, 2727, 734, 282, 1415, 17325, 1305, 313, 199, 393, 2611, 11714, 418, 23753, 438, 336, 14721, 32023, 28719, 327, 17561, 661, 391, 19426, 1995, 432, 45, 199, 417, 30828, 841, 325, 1031, 510, 333, 762, 3259, 46649, 550, 1806, 1671, 6826, 6667, 5625, 331, 12739, 859, 264, 199, 30424, 264, 2638, 199, 0, 199, 432, 6873, 389, 1201, 432, 7116, 298, 9006, 36846, 599, 389, 366, 7304, 276, 1216, 263, 510, 26815, 24017, 13713, 199, 23082, 9410, 7704, 1642, 470, 4012, 762, 2469, 538, 332, 937, 1303, 542, 275, 2262, 1496, 3454, 16371, 580, 8936, 199, 1758, 18030, 1147, 280, 1260, 978, 1469, 347, 1109, 12824, 1147, 282, 927, 734, 356, 546, 21408, 923, 8850, 5847, 199, 27223, 28505, 1096, 806, 1121, 522, 1450, 46591, 399, 3746, 3719, 318, 2313, 454, 11870, 389, 691, 540, 295, 1686, 199, 4025, 49284, 28054, 667, 20390, 382, 1145, 616, 287, 32494, 502, 432, 4103, 468, 8531, 27538, 500, 7419, 1010, 350, 199, 1557, 1044, 3562, 515, 325, 664, 1254, 23206, 1147, 3719, 31375, 3371, 25654, 784, 295, 1483, 50185, 447, 8531, 199, 629, 2650, 587, 44729, 325, 861, 4762, 913, 1026, 2420, 1985, 622, 422, 1193, 14918, 382, 9640, 36801, 4613, 33, 199, 433, 319, 2770, 592, 346, 786, 413, 355, 43664, 28644, 281, 1339, 331, 823, 1427, 46, 1335, 689, 26837, 1163, 635, 33, 199, 389, 11744, 362, 524, 381, 341, 558, 280, 503, 537, 3702, 1939, 1053, 9533, 895, 292, 734, 23556, 8982, 10118, 891, 199, 1201, 371, 7195, 550, 17446, 271, 529, 5250, 42176, 1205, 1369, 378, 1168, 334, 398, 1051, 4988, 4036, 731, 1596, 52, 199, 350, 22309, 923, 7530, 2076, 1573, 2180, 5248, 6217, 1129, 512, 4088, 16823, 5386, 12496, 341, 1118, 38516, 199, 1832, 948, 15594, 1853, 502, 6064, 1420, 6536, 2306, 1335, 7786, 2509, 1534, 29185, 354, 1124, 425, 455, 2517, 43, 199, 9033, 4003, 500, 36490, 740, 289, 687, 37502, 1148, 388, 1242, 346, 13146, 938, 262, 5013, 590, 35, 1098, 17052, 55, 199, 372, 2472, 283, 6461, 3400, 263, 27919, 580, 2403, 1348, 734, 40132, 881, 689, 268, 1202, 20297, 3118, 775, 1156, 199, 378, 794, 1037, 9537, 1286, 336, 3029, 348, 430, 20333, 353, 1960, 1144, 800, 6921, 337, 5292, 22134, 4565, 483, 199, 16715, 9887, 541, 5515, 2325, 340, 4879, 1547, 368, 562, 7611, 3721, 699, 996, 22265, 384, 33314, 505, 988, 313, 199, 51, 5099, 24181, 380, 388, 17234, 1099, 470, 18804, 327, 735, 398, 1561, 709, 7409, 21673, 3619, 711, 16852, 377, 199, 540, 5239, 20749, 20228, 39992, 2560, 623, 371, 2843, 31034, 2936, 12979, 1906, 320, 1814, 331, 1051, 31041, 33, 199, 2917, 503, 8819, 641, 6360, 321, 1157, 281, 1507, 405, 7930, 4794, 945, 917, 2651, 470, 745, 456, 886, 22839, 33, 199, 548, 415, 15308, 199, 0, 199, 1313, 7159, 287, 962, 40775, 1095, 891, 490, 966, 10735, 422, 337, 2098, 374, 976, 332, 928, 2168, 326, 1081, 24083, 33, 199 ]

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

[ 332, 1056, 13661, 1954, 279, 4685, 1491, 400, 1778, 779, 369, 1727, 5764, 684, 930, 17796, 419, 6685, 17918, 1885, 199, 25150, 30780, 1010, 5036, 1997, 1122, 12227, 2897, 279, 21194, 450, 2280, 410, 338, 895, 22461, 282, 848, 330, 10451, 199, 2691, 350, 1540, 318, 1188, 1162, 552, 6785, 1211, 517, 495, 5409, 499, 268, 847, 26675, 35699, 1642, 47988, 3908, 199, 560, 49, 1504, 272, 836, 408, 4226, 18412, 6091, 1399, 18349, 3703, 2346, 1854, 1168, 11693, 1449, 420, 318, 2865, 199, 263, 1682, 271, 1300, 483, 5127, 950, 15257, 1366, 6469, 1135, 1074, 581, 282, 584, 12585, 882, 346, 838, 324, 463, 12189, 199, 661, 1868, 11902, 783, 325, 1152, 318, 704, 440, 284, 802, 20704, 2015, 18054, 1726, 402, 2121, 328, 857, 547, 1039, 199, 27549, 18101, 800, 278, 3672, 30167, 18636, 432, 4626, 759, 628, 38705, 670, 882, 17667, 627, 279, 837, 1863, 49, 199, 273, 2936, 319, 3389, 1125, 464, 361, 1435, 691, 594, 522, 13298, 47432, 355, 4947, 269, 2124, 258, 2650, 2337, 32602, 199, 2805, 3679, 332, 760, 373, 2454, 4504, 361, 21746, 34443, 781, 1133, 441, 1445, 533, 3180, 1328, 6039, 391, 922, 50, 199, 1235, 432, 2722, 269, 938, 564, 401, 18750, 1811, 1759, 1006, 3010, 864, 1803, 407, 1444, 1675, 363, 1799, 25350, 2982, 41, 199, 2457, 30576, 1207, 322, 540, 366, 2421, 1723, 455, 564, 398, 5157, 44229, 961, 752, 38052, 375, 10942, 1871, 1539, 509, 199, 12070, 5581, 518, 16702, 888, 361, 908, 281, 2008, 2133, 42511, 3672, 515, 21241, 31823, 467, 34488, 1280, 7294, 199, 397, 457, 24624, 369, 2482, 314, 545, 26506, 359, 1995, 433, 721, 499, 4416, 575, 7853, 757, 30467, 8535, 2493, 3562, 199, 39, 1159, 324, 594, 377, 2916, 5529, 1108, 357, 610, 44696, 8326, 6701, 329, 9368, 35881, 1169, 6435, 1215, 665, 381, 199, 531, 29018, 875, 703, 367, 726, 750, 404, 373, 1086, 456, 6097, 397, 394, 694, 29965, 10191, 351, 1759, 274, 913, 1295, 52, 199, 39, 1165, 1281, 30686, 863, 470, 22236, 832, 535, 14686, 876, 354, 1865, 49686, 804, 30288, 1538, 23519, 1979, 314, 199, 717, 264, 1193, 4517, 448, 365, 22421, 1455, 9132, 27635, 1151, 326, 2063, 1957, 8047, 266, 5654, 57, 1121, 1282, 199, 278, 432, 1142, 367, 1860, 6634, 4705, 513, 19790, 392, 343, 623, 429, 3004, 509, 362, 13657, 2155, 9130, 15722, 1044, 199, 44, 1760, 344, 1676, 199, 0, 199, 2227, 48, 1212, 294, 960, 757, 1405, 2143, 704, 9430, 2303, 2924, 621, 13893, 27949, 9072, 1682, 338, 8664, 199, 803, 344, 862, 447, 6641, 23819, 25483, 416, 316, 703, 32669, 13878, 16562, 277, 689, 4313, 4511, 592, 327, 1550, 199, 18050, 1223, 31143, 9603, 269, 1388, 21774, 354, 1086, 11364, 887, 6834, 27170, 978, 22364, 273, 1310, 1027, 505, 199, 368, 11463, 293, 1819, 2776, 479, 15826, 8773, 940, 13435, 2932, 1475, 289, 40852, 992, 1393, 300, 540, 4303, 343, 199, 17135, 44865, 443, 2632, 17384, 1048, 22148, 454, 1388, 631, 10201, 2061, 1150, 12354, 2719, 299, 638, 312, 1067, 448, 199, 1976, 4949, 2636, 900, 17394, 1412, 1571, 272, 2495, 1234, 4318 ]

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

[ 21341, 430, 313, 25018, 3033, 1541, 4212, 199, 561, 286, 1909, 7149, 16912, 824, 18666, 8955, 9474, 619, 319, 2012, 20204, 596, 524, 2554, 374, 403, 1050, 285, 199, 605, 2680, 37935, 2026, 36, 786, 503, 42808, 2554, 289, 33189, 1073, 1054, 325, 5948, 1137, 401, 1655, 3065, 762, 199, 2388, 10946, 399, 377, 420, 3307, 291, 3601, 533, 18262, 3895, 5013, 997, 335, 21108, 1117, 29052, 875, 471, 2577, 40, 199, 16871, 1251, 1480, 381, 529, 5846, 489, 565, 275, 3600, 540, 44260, 1709, 346, 1559, 331, 1411, 1011, 277, 7399, 38471, 199, 335, 1544, 491, 596, 9612, 2081, 469, 38243, 3100, 327, 636, 760, 15906, 398, 762, 1842, 349, 32134, 422, 7673, 346, 199, 2685, 364, 585, 18716, 2024, 783, 1054, 393, 356, 517, 17952, 704, 335, 1074, 21938, 4487, 428, 2451, 14367, 18526, 199, 48614, 7792, 19406, 916, 5646, 260, 1300, 916, 9810, 17822, 1045, 383, 2684, 1029, 272, 3728, 593, 13394, 758, 199, 43838, 2422, 2719, 299, 1548, 1016, 297, 489, 37531, 46234, 8324, 1233, 39379, 348, 642, 1534, 970, 28529, 2477, 199, 1190, 314, 794, 3540, 8261, 297, 599, 1440, 336, 603, 4836, 38091, 2569, 446, 2036, 830, 22832, 367, 12804, 608, 275, 199, 51, 601, 1952, 392, 628, 8024, 7896, 470, 541, 348, 8141, 2179, 9241, 888, 40486, 1837, 483, 360, 411, 947, 257, 17571, 199, 35521, 612, 26593, 874, 10698, 5995, 24733, 1763, 362, 19704, 4991, 17762, 2492, 29550, 389, 9156, 454, 9652, 199, 839, 260, 553, 3590, 803, 385, 787, 14461, 1095, 36147, 6355, 394, 8659, 547, 398, 612, 49963, 594, 35178, 332, 443, 6101, 199, 693, 312, 487, 1164, 421, 10514, 22863, 26858, 6173, 3302, 907, 2345, 11770, 1079, 276, 801, 372, 2801, 711, 262, 199, 17464, 1216, 330, 199, 0, 199, 382, 966, 269, 7581, 24331, 7677, 773, 1491, 347, 636, 2452, 5614, 398, 3378, 452, 759, 1709, 1185, 348, 1967, 356, 552, 485, 199, 39, 2096, 895, 2979, 327, 1097, 25311, 331, 7431, 334, 879, 7167, 333, 691, 348, 2706, 2961, 969, 4957, 28798, 199, 5250, 1168, 39146, 1163, 9303, 4883, 1010, 1076, 265, 839, 12379, 895, 3689, 1735, 6080, 1393, 581, 274, 789, 199, 635, 14741, 2228, 12067, 1019, 956, 2114, 334, 2804, 854, 479, 13958, 412, 4276, 30901, 1777, 279, 1906, 1037, 33, 199, 43018, 1820, 282, 504, 843, 295, 3192, 290, 668, 18624, 24300, 1207, 11323, 433, 5331, 624, 3291, 677, 3113, 199, 11335, 1816, 356, 5463, 487, 413, 1252, 319, 3227, 331, 630, 1886, 13960, 13622, 3891, 486, 534, 4324, 2768, 4236, 2920, 199, 4727, 1422, 347, 1120, 4687, 371, 2251, 343, 799, 325, 435, 801, 11965, 431, 970, 1092, 1140, 44208, 9877, 3498, 38, 199, 335, 821, 20268, 2066, 260, 983, 3994, 1628, 943, 421, 18488, 1757, 1866, 23816, 2972, 292, 684, 18546, 1162, 265, 199, 578, 46733, 4567, 365, 854, 11412, 534, 860, 286, 28862, 397, 7003, 396, 1273, 8574, 1293, 315, 1086, 48, 672, 298, 199, 356, 819, 7785, 512, 3873, 596, 314, 450, 13463, 1026, 20066, 43432, 335, 24723, 542, 1416, 18198, 4674, 15202, 199, 23118, 758, 1958, 371, 13477, 525, 517, 1216 ]

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

[ 321, 4244, 522, 896, 3011, 300, 1230, 345, 16936, 3344, 284, 6984, 55, 199, 363, 3781, 301, 704, 1965, 7612, 17711, 979, 573, 287, 2061, 392, 575, 381, 11022, 2770, 273, 2623, 381, 8271, 9632, 199, 684, 607, 2625, 3018, 279, 998, 933, 315, 18309, 658, 5725, 4572, 840, 30770, 911, 362, 508, 326, 2198, 1381, 46, 199, 15865, 394, 694, 13173, 7160, 845, 412, 3147, 609, 525, 17112, 40634, 1273, 717, 271, 631, 397, 1581, 388, 3314, 199, 20610, 2269, 296, 1494, 406, 11519, 613, 274, 1365, 867, 350, 1595, 3818, 7978, 493, 8857, 3847, 2584, 563, 9395, 199, 25036, 354, 6381, 333, 2043, 681, 263, 1351, 2481, 331, 1568, 3008, 824, 1337, 35137, 55, 645, 587, 55, 1846, 406, 199, 1875, 261, 4258, 932, 2207, 264, 2254, 321, 1747, 14857, 31648, 1882, 15155, 429, 2839, 2912, 369, 2139, 6617, 199, 16612, 496, 11618, 417, 400, 2396, 496, 668, 9885, 2668, 452, 783, 17496, 8541, 1034, 340, 1889, 802, 463, 5905, 199, 36, 769, 282, 1854, 4267, 356, 975, 2842, 2390, 3176, 12079, 33679, 2432, 371, 4633, 345, 3092, 1490, 47889, 199, 6973, 652, 5094, 199, 0, 199, 45138, 31058, 1675, 326, 663, 407, 960, 366, 22352, 535, 446, 663, 1491, 675, 458, 855, 18519, 883, 2617, 343, 1107, 199, 39, 2575, 1486, 5515, 6570, 13064, 450, 1655, 278, 454, 660, 330, 2331, 7135, 402, 371, 422, 6183, 374, 808, 659, 8400, 199, 18784, 23393, 5596, 336, 2044, 20015, 3784, 28666, 27556, 7414, 986, 9679, 1678, 340, 1130, 2465, 7376, 294, 199, 432, 2044, 393, 569, 4612, 636, 8638, 378, 1365, 1403, 349, 1648, 477, 3874, 1000, 4164, 23772, 3558, 6079, 405, 348, 199, 37, 2163, 960, 6927, 49741, 885, 1006, 348, 2039, 314, 825, 7892, 817, 2806, 389, 364, 4270, 298, 2286, 1447, 909, 41, 199, 19095, 813, 1286, 2614, 336, 1753, 457, 1635, 347, 516, 4269, 547, 39066, 1224, 447, 26160, 942, 405, 2254, 780, 544, 199, 1835, 315, 3254, 478, 418, 5144, 5332, 461, 3037, 386, 2506, 404, 23169, 569, 5840, 7219, 433, 9017, 2506, 4317, 2011, 199, 641, 1790, 8480, 2040, 1493, 2338, 1569, 3145, 1583, 378, 1369, 4538, 1957, 1180, 553, 1127, 313, 512, 570, 7529, 57, 199, 328, 573, 5914, 648, 422, 10920, 578, 509, 49653, 1624, 436, 6204, 33633, 41626, 2574, 2176, 510, 9057, 6974, 470, 421, 199, 4375, 26821, 369, 4141, 381, 387, 12351, 1967, 1381, 17885, 2090, 32074, 558, 8476, 916, 390, 2066, 1355, 3329, 501, 199, 39, 1264, 18384, 689, 422, 337, 18437, 363, 3476, 1358, 519, 10091, 287, 2300, 4201, 6108, 712, 360, 47517, 1693, 515, 33, 199, 44, 2784, 1750, 697, 6378, 1220, 469, 15408, 549, 17037, 341, 929, 466, 265, 927, 704, 325, 13572, 1497, 543, 44325, 199, 281, 1512, 13717, 15831, 699, 2387, 57, 2918, 457, 48548, 3235, 4620, 3491, 348, 1457, 971, 545, 502, 586, 280, 859, 199, 44, 521, 17245, 12905, 18067, 322, 3002, 47692, 4983, 19075, 843, 585, 503, 832, 282, 549, 6536, 4699, 31698, 199, 612, 2184, 538, 294, 485, 20191, 699, 356, 690, 459, 1954, 4180, 9839, 451, 361, 1873, 2095, 578 ]

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

[ 958, 343, 1026, 570, 199, 641, 536, 748, 381, 24625, 1947, 414, 9293, 585, 30424, 297, 19278, 2414, 8497, 805, 430, 370, 831, 361, 928, 5368, 199, 1252, 3377, 269, 17582, 3298, 518, 2746, 709, 518, 1499, 2046, 529, 14269, 483, 5204, 46879, 46, 1422, 472, 520, 7334, 199, 19924, 350, 9057, 18151, 1538, 1522, 4973, 1617, 431, 634, 17233, 7183, 291, 1314, 705, 33909, 1891, 1098, 27956, 199, 1530, 656, 1430, 269, 1909, 546, 415, 23190, 293, 1086, 419, 613, 339, 1038, 32780, 867, 317, 1983, 1694, 25242, 1210, 4093, 199, 4907, 602, 19853, 199, 0, 199, 2180, 45801, 17349, 715, 547, 28068, 1293, 461, 319, 2697, 23209, 23568, 31665, 1885, 570, 1885, 13878, 2833, 372, 199, 45220, 12418, 291, 1647, 1002, 27452, 762, 3030, 331, 556, 969, 48, 959, 510, 2763, 556, 12598, 556, 1796, 199, 17721, 8407, 587, 3456, 3935, 12555, 1467, 463, 2619, 343, 493, 327, 439, 9647, 25683, 1230, 36, 2362, 350, 493, 6509, 199, 879, 276, 731, 724, 48242, 11741, 423, 3553, 339, 9083, 1364, 284, 2149, 6728, 7399, 522, 19577, 730, 390, 199, 9844, 258, 1040, 1850, 988, 327, 639, 13340, 432, 6255, 515, 959, 355, 891, 8689, 2002, 25926, 1901, 769, 426, 199, 14323, 605, 966, 377, 6981, 6073, 355, 6378, 3848, 26119, 3102, 1301, 14689, 665, 2046, 5003, 273, 1478, 15263, 199, 15886, 21048, 11920, 468, 3096, 455, 406, 20263, 40248, 36120, 10166, 856, 485, 3379, 588, 19922, 688, 301, 957, 54, 199, 9511, 637, 22022, 507, 2028, 377, 1049, 3102, 753, 618, 17929, 590, 270, 748, 47904, 353, 373, 544, 9552, 1796, 1335, 199, 279, 2046, 679, 436, 1789, 16195, 422, 1220, 1449, 15186, 403, 2686, 6619, 298, 1449, 1201, 456, 301, 1201, 481, 263, 1736, 199, 331, 29810, 1310, 3853, 7717, 522, 7560, 1723, 365, 2659, 25990, 652, 893, 467, 573, 25130, 818, 397, 7482, 322, 199, 37, 502, 4549, 36600, 2865, 680, 265, 5847, 1848, 277, 1014, 3596, 414, 6570, 18860, 15932, 1189, 266, 2076, 2919, 199, 6998, 590, 1280, 265, 435, 1184, 2580, 5806, 406, 986, 33360, 3980, 403, 22301, 507, 273, 1040, 985, 385, 38114, 643, 265, 199, 507, 2144, 7723, 36289, 656, 32389, 1520, 398, 1689, 10118, 3379, 1635, 294, 2064, 20170, 400, 601, 3699, 364, 662, 258, 199, 394, 897, 4919, 4156, 267, 1867, 1396, 986, 418, 951, 332, 2132, 43, 1467, 21131, 315, 598, 1184, 570, 8249, 266, 199, 18082, 298, 1624, 333, 955, 436, 6699, 2487, 8181, 455, 7143, 352, 1294, 4940, 5767, 18343, 26460, 1005, 6558, 199, 1916, 1403, 414, 586, 13162, 1051, 12114, 1469, 514, 2616, 6337, 1504, 326, 4239, 336, 645, 582, 326, 32920, 630, 55, 199, 37, 2290, 466, 1156, 16826, 378, 1710, 1116, 8182, 13290, 325, 6389, 2389, 13313, 1120, 2658, 365, 419, 2161, 608, 35, 199, 1235, 57, 939, 33136, 712, 4029, 664, 298, 24651, 594, 35873, 393, 11389, 48481, 1405, 314, 1610, 952, 1049, 422, 778, 456, 199, 280, 382, 1964, 41309, 10350, 685, 10089, 5527, 2316, 280, 621, 282, 2316, 6109, 762, 3751, 15825, 10799, 1896, 199, 5996, 741, 1069, 199, 0, 199, 1218, 7187, 5978 ]

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

[ 752, 259, 537, 935, 15790, 5075, 10118, 315, 730, 12218, 616, 559, 12294, 1455, 301, 20689, 199, 7877, 13409, 14849, 2269, 438, 13846, 556, 4546, 42358, 4558, 370, 617, 718, 626, 16474, 2175, 332, 663, 886, 2430, 199, 3976, 437, 587, 2429, 1042, 354, 3042, 35291, 314, 767, 330, 19963, 8410, 708, 42906, 1292, 535, 435, 367, 15155, 541, 199, 1361, 24423, 4193, 18334, 6676, 8306, 1381, 344, 780, 2137, 12494, 21241, 46420, 708, 295, 610, 825, 44419, 199, 1755, 19727, 1067, 1288, 4534, 37442, 5633, 323, 5694, 547, 55, 1902, 346, 824, 1758, 315, 564, 15831, 1378, 2382, 269, 199, 10581, 5867, 14107, 314, 393, 17527, 38800, 676, 280, 1588, 509, 746, 17668, 17111, 503, 632, 2346, 40754, 19622, 199, 606, 12846, 23944, 4198, 14475, 11771, 349, 3470, 323, 9320, 1391, 1750, 1693, 10584, 3825, 292, 6312, 653, 2447, 289, 199, 1095, 275, 1682, 301, 2926, 778, 313, 1498, 330, 18442, 272, 4808, 467, 31282, 686, 2648, 466, 291, 549, 1524, 426, 45, 1567, 199, 12973, 5866, 19158, 325, 684, 258, 621, 537, 1564, 407, 664, 1727, 369, 664, 10602, 403, 1164, 426, 1013, 348, 8103, 199, 4366, 3456, 534, 5366, 350, 854, 45493, 413, 621, 537, 3657, 515, 4177, 1165, 14473, 923, 3030, 7150, 199, 301, 895, 2780, 551, 830, 3115, 682, 265, 3602, 1096, 27982, 969, 49187, 1277, 296, 12079, 609, 6873, 199, 3869, 12079, 596, 537, 31805, 996, 406, 432, 785, 11658, 1247, 426, 1443, 471, 299, 6873, 9257, 15191, 318, 199, 375, 959, 464, 9314, 406, 712, 284, 2763, 537, 369, 9314, 40, 1567, 712, 296, 2763, 537, 407, 9314, 2030, 389, 688, 199, 51, 506, 578, 820, 3309, 13340, 2851, 613, 549, 317, 670, 340, 636, 3721, 6228, 353, 856, 10163, 513, 1380, 29559, 1430, 1341, 199, 31856, 392, 509, 346, 2174, 18848, 498, 13103, 638, 659, 473, 2466, 756, 405, 9854, 32098, 338, 612, 297, 8231, 421, 23875, 199, 2988, 2643, 382, 1732, 329, 1501, 1315, 329, 1513, 2879, 3989, 2052, 463, 290, 39487, 23582, 783, 9932, 19862, 478, 1254, 199, 1812, 4522, 3677, 293, 2385, 21355, 2937, 2879, 434, 3284, 1318, 291, 1097, 590, 282, 879, 12329, 483, 578, 395, 1659, 199, 4024, 948, 626, 16821, 382, 48330, 1283, 13689, 779, 26658, 1567, 415, 377, 584, 4363, 912, 359, 1203, 452, 4211, 35, 199, 573, 23050, 617, 9780, 670, 1054, 275, 774, 2438, 27903, 1059, 1003, 1944, 396, 721, 23132, 4790, 552, 549, 1132, 375, 25306, 199, 7560, 651, 2979, 199, 0, 199, 385, 380, 2113, 369, 6458, 2113, 508, 260, 1587, 652, 278, 2078, 481, 10348, 2718, 812, 5776, 7690, 11515, 463, 722, 199, 515, 1031, 346, 550, 14348, 616, 343, 1633, 1223, 49325, 2003, 38529, 1440, 332, 760, 358, 3415, 369, 28489, 1869, 52, 199, 12669, 487, 323, 6831, 8699, 9409, 3892, 2015, 410, 3814, 1108, 345, 29807, 11078, 4409, 409, 988, 296, 422, 477, 199, 1083, 33057, 1537, 665, 8497, 562, 3043, 271, 1966, 24296, 19924, 2509, 668, 671, 2026, 36, 3100, 6546, 33, 199, 301, 1280, 330, 761, 533, 901, 900, 466, 10474, 401, 6239, 20677, 588, 3367, 278, 693 ]

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

[ 6410, 359, 7774, 33236, 336, 55, 199, 1339, 428, 2502, 6722, 49215, 699, 389, 3908, 3491, 585, 489, 4452, 21121, 45416, 1094, 23388, 1057, 266, 9901, 199, 380, 815, 346, 572, 2436, 26055, 34810, 3577, 401, 1402, 281, 1880, 25463, 2046, 1250, 565, 18239, 666, 452, 3020, 31996, 199, 794, 340, 546, 292, 12140, 27507, 565, 7474, 1216, 1668, 261, 951, 347, 973, 261, 1454, 2421, 1230, 972, 707, 2562, 40, 199, 13474, 24270, 4169, 393, 40866, 734, 4828, 337, 640, 3904, 470, 2697, 4616, 15936, 1593, 838, 482, 945, 43105, 199, 280, 1868, 582, 3009, 880, 262, 1272, 1575, 280, 832, 746, 2558, 10555, 1132, 322, 863, 266, 5161, 1219, 904, 932, 199, 272, 831, 389, 872, 10630, 561, 19803, 5277, 2004, 3530, 265, 3520, 21927, 7738, 276, 1949, 19180, 11866, 472, 199, 513, 12917, 47473, 4344, 292, 1500, 40221, 15982, 1232, 379, 334, 19182, 1237, 30959, 3608, 1337, 4348, 493, 199, 488, 2776, 712, 562, 331, 786, 259, 740, 7127, 258, 651, 368, 27157, 316, 3445, 28173, 455, 341, 1528, 288, 705, 954, 33, 199, 396, 2158, 385, 590, 276, 800, 673, 315, 12393, 419, 1576, 446, 1328, 1457, 346, 1564, 353, 2133, 29205, 485, 509, 381, 661, 33, 199, 44, 615, 6879, 403, 1830, 535, 6013, 21120, 28054, 496, 1302, 270, 1612, 1478, 2096, 395, 2055, 46, 1017, 269, 628, 258, 613, 38, 199, 44, 1167, 268, 996, 282, 1749, 1005, 342, 690, 329, 1354, 3307, 1540, 413, 455, 13091, 316, 8658, 566, 439, 8686, 351, 28580, 199, 263, 1332, 267, 1281, 286, 2069, 10428, 1504, 330, 420, 1746, 831, 290, 993, 32914, 11066, 411, 1913, 1196, 370, 1257, 338, 199, 24754, 291, 615, 387, 2334, 351, 2366, 2714, 25328, 16357, 27788, 2375, 1387, 11745, 13857, 8536, 451, 818, 590, 2682, 199, 261, 1807, 7016, 368, 1741, 1104, 38686, 317, 1270, 352, 2038, 640, 5264, 38, 980, 258, 1057, 445, 399, 4730, 391, 691, 45, 199, 3971, 2585, 260, 199, 0, 199, 1313, 664, 664, 590, 2060, 345, 5753, 895, 37591, 379, 656, 14457, 15174, 329, 3887, 839, 5046, 2112, 324, 616, 199, 39, 11763, 2102, 337, 1284, 1131, 344, 1379, 13809, 1221, 4516, 502, 14090, 1424, 374, 1166, 409, 1066, 492, 807, 36, 4959, 199, 340, 5413, 10143, 1429, 643, 44205, 1429, 356, 1805, 747, 260, 2034, 1634, 257, 552, 268, 2908, 19260, 290, 1060, 2077, 199, 631, 27952, 17790, 587, 2766, 540, 280, 16464, 392, 9071, 915, 370, 5460, 1326, 420, 1934, 21414, 28503, 2999, 199, 44, 1929, 291, 2798, 400, 354, 4265, 1242, 463, 1470, 537, 320, 7021, 32429, 4583, 34460, 261, 649, 2979, 377, 675, 348, 199, 1972, 49960, 1182, 1626, 348, 2118, 370, 4973, 822, 288, 22814, 42356, 11089, 404, 564, 706, 3335, 548, 338, 1848, 49, 199, 2508, 286, 4363, 5355, 383, 4012, 539, 2921, 342, 395, 2804, 1074, 2361, 2202, 719, 1866, 30014, 590, 5725, 1682, 199, 943, 424, 950, 21940, 7105, 715, 8601, 270, 484, 957, 31555, 1980, 21815, 2560, 1570, 372, 1951, 1033, 1552, 353, 539, 199, 9947, 16357, 31362, 2310, 409, 3618, 428, 818, 26522, 1177, 16520, 335, 5128 ]

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

[ 29361, 6060, 767, 7390, 903, 14204, 199, 360, 5954, 545, 5534, 280, 391, 9022, 503, 364, 2489, 6293, 331, 2208, 8121, 655, 370, 1936, 330, 40162, 4735, 10447, 199, 262, 15909, 582, 406, 1398, 341, 3292, 607, 506, 4900, 525, 417, 1494, 907, 7813, 1559, 12144, 273, 5642, 496, 1868, 199, 26271, 268, 1006, 4250, 18703, 257, 2890, 421, 3062, 425, 31049, 16187, 1473, 7918, 15689, 3095, 295, 531, 393, 2564, 199, 471, 8214, 2461, 20811, 802, 488, 9570, 383, 425, 400, 1259, 19178, 2147, 323, 1638, 570, 411, 686, 2102, 1641, 37028, 199, 398, 9860, 12882, 509, 14971, 6312, 791, 30583, 4003, 337, 552, 528, 954, 42372, 6833, 11613, 568, 3138, 754, 199, 1439, 1533, 8055, 28686, 3443, 649, 451, 259, 650, 47957, 1190, 2097, 22618, 1454, 361, 1478, 448, 10825, 867, 297, 199, 3146, 314, 770, 1421, 328, 3332, 561, 265, 1024, 397, 370, 866, 459, 393, 420, 1813, 2306, 3390, 16306, 20144, 387, 544, 199, 331, 1942, 258, 961, 499, 320, 1493, 367, 1499, 910, 2026, 6774, 290, 993, 36, 7040, 416, 760, 645, 300, 1258, 395, 818, 199, 1394, 494, 503, 529, 290, 516, 1068, 25044, 832, 327, 897, 410, 12571, 418, 312, 780, 467, 11380, 1585, 4550, 2172, 264, 199, 13956, 1411, 633, 278, 672, 36851, 847, 23980, 4004, 750, 24373, 707, 2917, 316, 4620, 355, 6102, 900, 30734, 199, 371, 1543, 591, 383, 199, 0, 199, 385, 2644, 318, 16059, 393, 367, 7919, 390, 768, 3400, 290, 1549, 48, 690, 337, 1049, 1293, 6119, 619, 45100, 3665, 41, 199, 346, 985, 672, 621, 424, 11181, 269, 12676, 371, 807, 2122, 1378, 896, 271, 44738, 1480, 323, 5404, 1434, 1695, 1141, 199, 366, 651, 2005, 1474, 580, 3726, 42602, 4840, 2939, 312, 1416, 565, 4935, 34953, 40509, 552, 582, 326, 14115, 199, 650, 578, 23332, 1605, 5344, 4475, 618, 4356, 10471, 8364, 270, 910, 389, 1613, 966, 3759, 762, 1255, 451, 913, 199, 393, 826, 294, 827, 2885, 410, 20190, 1159, 330, 517, 636, 2436, 12569, 336, 599, 280, 883, 715, 522, 659, 12996, 357, 199, 328, 882, 3913, 683, 8148, 505, 582, 7389, 974, 269, 3084, 7638, 21989, 1764, 1316, 982, 29883, 364, 1281, 689, 199, 1446, 430, 659, 332, 9982, 3636, 658, 4313, 325, 4253, 361, 712, 292, 1229, 379, 641, 333, 1120, 1884, 333, 1444, 276, 199, 39, 6030, 666, 587, 33847, 264, 1786, 1350, 294, 718, 356, 585, 44052, 4415, 1046, 368, 284, 2272, 291, 895, 292, 490, 8566, 199, 2298, 438, 5501, 39357, 509, 25775, 3370, 3182, 1430, 294, 1050, 29837, 2167, 292, 1019, 759, 392, 480, 11730, 6077, 199, 23356, 968, 329, 1837, 6128, 624, 314, 4026, 381, 2882, 369, 725, 8712, 374, 1729, 1940, 21057, 2317, 706, 272, 1368, 199, 2226, 4641, 23859, 41127, 291, 541, 2262, 2897, 2343, 296, 7048, 44499, 775, 479, 1483, 462, 21737, 566, 1522, 332, 199, 295, 1172, 1899, 9696, 1213, 376, 1392, 19015, 365, 1883, 413, 7468, 507, 658, 336, 524, 609, 7577, 1010, 415, 499, 977, 199, 674, 16050, 2263, 389, 1744, 2324, 1278, 1264, 10223, 44106, 1108, 416, 1410, 613, 32343, 1186 ]

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

[ 952, 1212, 410, 9536, 199, 527, 1393, 530, 22146, 688, 389, 829, 5288, 1342, 769, 13295, 265, 25825, 841, 6323, 7156, 474, 1986, 725, 199, 1496, 577, 9433, 319, 820, 314, 930, 32189, 280, 2460, 558, 3270, 10079, 1396, 333, 519, 341, 550, 691, 41555, 7525, 199, 389, 1260, 1284, 410, 549, 291, 1689, 542, 908, 273, 1814, 1241, 285, 1180, 377, 422, 447, 10182, 373, 1926, 28063, 15008, 1706, 199, 13133, 1197, 2522, 494, 645, 3669, 434, 586, 1289, 438, 1394, 2088, 603, 48, 1655, 354, 8129, 716, 25565, 2071, 440, 199, 485, 793, 356, 3270, 4313, 28851, 2147, 334, 499, 749, 279, 904, 16132, 37062, 12383, 1449, 356, 2570, 274, 797, 290, 199, 2661, 772, 370, 608, 27088, 489, 8774, 1199, 403, 10496, 9787, 406, 3759, 371, 4191, 2148, 355, 546, 48766, 1457, 199, 8249, 260, 525, 199, 0, 199, 6084, 35729, 14934, 7230, 677, 418, 5438, 1773, 292, 2149, 10152, 411, 2293, 277, 1718, 22331, 1170, 343, 921, 35, 199, 581, 15178, 3307, 458, 7391, 332, 521, 8115, 2122, 7967, 2067, 10605, 966, 25099, 2951, 1311, 6963, 279, 1198, 346, 199, 1419, 1204, 8923, 1714, 1588, 315, 433, 3074, 510, 389, 3115, 335, 912, 7270, 547, 3127, 1399, 317, 29530, 7191, 199, 1414, 257, 508, 401, 4290, 47402, 868, 41590, 1083, 807, 6413, 314, 576, 4258, 1193, 12490, 1305, 9423, 353, 388, 199, 809, 262, 2625, 607, 24181, 550, 9058, 789, 324, 824, 45694, 866, 789, 697, 1571, 2064, 1241, 403, 966, 199, 901, 15432, 4658, 683, 378, 28481, 1293, 319, 8502, 463, 258, 707, 15784, 448, 389, 544, 5438, 275, 442, 36243, 45, 199, 23102, 1251, 4630, 443, 2252, 744, 1405, 530, 403, 932, 10655, 738, 526, 296, 699, 25844, 1153, 1507, 3349, 364, 199, 317, 3134, 532, 16074, 11782, 35997, 32481, 420, 5012, 5282, 489, 517, 8511, 694, 460, 598, 4312, 1132, 199, 264, 1760, 6300, 356, 1064, 7822, 582, 2252, 418, 998, 646, 8833, 1457, 1611, 354, 801, 323, 1266, 41622, 585, 430, 199, 5780, 1653, 1934, 6325, 555, 951, 463, 1325, 833, 325, 2317, 14795, 893, 298, 646, 1278, 6099, 2994, 1796, 330, 199, 51, 11989, 1402, 330, 602, 5368, 1201, 17458, 514, 2270, 418, 18334, 754, 275, 423, 3171, 10302, 371, 925, 414, 3850, 199, 31307, 528, 445, 22199, 1527, 1341, 416, 360, 433, 10768, 760, 393, 2495, 346, 944, 288, 4260, 275, 462, 9480, 4159, 469, 199, 267, 834, 521, 19960, 539, 328, 828, 340, 19653, 1150, 349, 15136, 589, 3516, 550, 339, 1362, 268, 1776, 23382, 630, 289, 199, 16160, 6773, 422, 3188, 403, 766, 370, 759, 344, 16128, 19793, 4846, 46601, 3595, 1049, 6121, 704, 294, 5624, 199, 503, 334, 37061, 405, 741, 10503, 520, 1493, 500, 20331, 48569, 1623, 389, 918, 441, 1316, 4374, 879, 1928, 442, 4401, 199, 1421, 566, 8663, 29591, 5162, 276, 7464, 260, 2455, 488, 15894, 35946, 284, 47269, 378, 522, 967, 20529, 13810, 322, 199, 553, 18238, 1037, 263, 782, 24756, 353, 4393, 2387, 1292, 5410, 383, 1637, 1276, 568, 709, 1532, 484, 19272, 2120, 33, 199, 345, 3256, 402, 678, 10612, 27527, 3356, 269 ]

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

[ 1271, 813, 354, 937, 10670, 13248, 292, 2676, 805, 566, 343, 9959, 21523, 199, 4804, 355, 1290, 8032, 732, 521, 28854, 6121, 19990, 552, 345, 1030, 11856, 852, 726, 462, 442, 591, 2807, 49453, 199, 819, 400, 37806, 199, 0, 199, 2242, 1487, 431, 12617, 1019, 3525, 287, 1434, 1017, 4225, 35268, 1133, 425, 454, 3869, 525, 287, 846, 336, 1259, 50, 199, 424, 1044, 396, 34909, 3945, 2945, 18752, 284, 3445, 927, 3158, 2778, 20659, 32305, 1131, 33231, 692, 7166, 456, 199, 3945, 10254, 638, 7263, 1158, 7143, 916, 362, 2228, 323, 5270, 387, 11136, 3050, 2436, 51, 16671, 427, 935, 258, 199, 20346, 2432, 319, 11680, 2357, 3171, 1158, 1450, 2506, 312, 431, 2520, 50, 1140, 369, 7478, 484, 14986, 2221, 9392, 36, 199, 290, 7447, 10409, 2306, 38396, 3052, 18105, 3182, 315, 30884, 602, 5072, 576, 291, 612, 327, 2512, 10447, 416, 9632, 199, 317, 14826, 1263, 287, 1504, 7130, 760, 24647, 572, 1010, 802, 384, 28390, 9819, 1171, 605, 19996, 1074, 50156, 199, 581, 43123, 2567, 35623, 816, 439, 2072, 375, 18141, 2199, 1237, 15232, 1156, 424, 2665, 435, 1693, 17264, 5752, 199, 21086, 572, 689, 6290, 28224, 960, 1098, 11085, 1464, 278, 570, 20748, 479, 1151, 365, 621, 679, 794, 273, 2704, 199, 15754, 447, 2658, 2470, 1300, 283, 709, 1573, 1773, 17769, 3644, 367, 21372, 655, 281, 15047, 3830, 1557, 6615, 54, 199, 1999, 264, 983, 1938, 499, 1693, 1800, 378, 15206, 463, 18737, 648, 3218, 343, 3137, 339, 1171, 18076, 277, 6396, 20536, 199, 16031, 690, 701, 3954, 1256, 8272, 266, 694, 4212, 7997, 1002, 1464, 335, 1861, 4656, 631, 34237, 368, 887, 324, 199, 5649, 41184, 545, 377, 7526, 905, 425, 1231, 5170, 381, 11177, 26935, 13072, 10929, 1415, 835, 340, 2006, 3035, 199, 3764, 1017, 2153, 367, 11141, 841, 15647, 1083, 22734, 1814, 3018, 279, 1526, 488, 2536, 1447, 694, 434, 7391, 15463, 199, 334, 32909, 6851, 1026, 477, 3778, 397, 1269, 734, 1410, 352, 962, 938, 9277, 794, 19105, 656, 23183, 811, 327, 199, 1285, 346, 1189, 567, 319, 1744, 40096, 1072, 900, 20827, 2934, 1154, 31500, 1474, 14538, 33024, 30578, 742, 8854, 199, 13106, 565, 12295, 997, 291, 38992, 3129, 313, 18582, 1157, 7299, 517, 1753, 4226, 470, 337, 29422, 1089, 455, 3291, 199, 480, 6230, 22716, 473, 879, 650, 1562, 400, 388, 2245, 616, 781, 7287, 7505, 291, 3520, 782, 1690, 358, 588, 9383, 199, 342, 538, 19593, 11457, 13188, 274, 514, 42762, 738, 7527, 964, 861, 1996, 713, 1622, 16117, 858, 316, 5083, 199, 300, 1528, 41987, 1993, 326, 1266, 481, 8715, 663, 2802, 1038, 1944, 298, 1325, 773, 3092, 500, 24547, 301, 1045, 1093, 199, 968, 336, 782, 40, 199, 0, 199, 39296, 946, 333, 1952, 881, 16506, 2394, 418, 20799, 2466, 25984, 527, 534, 12377, 20955, 841, 1484, 350, 441, 2301, 199, 51, 8076, 437, 338, 1174, 650, 562, 24898, 634, 379, 393, 3159, 2514, 315, 993, 497, 5715, 25377, 833, 329, 1152, 327, 199, 12145, 6825, 568, 391, 1406, 363, 582, 314, 6095, 712, 347, 423, 4304, 261, 47250, 611, 374, 633, 5468, 2665, 44455, 54 ]

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

[ 199, 913, 301, 898, 318, 742, 3180, 10079, 478, 2992, 10785, 1090, 2451, 2368, 327, 1279, 14400, 393, 2077, 4528, 517, 199, 2942, 650, 460, 1096, 380, 4467, 4155, 1380, 630, 4480, 7340, 8945, 9286, 281, 1061, 7078, 827, 502, 11932, 1561, 199, 668, 1231, 834, 10294, 43538, 25696, 291, 1750, 483, 395, 4903, 356, 657, 265, 925, 487, 471, 2669, 289, 885, 331, 21701, 199, 350, 1152, 275, 1305, 413, 734, 1130, 6332, 17324, 1076, 2369, 1328, 314, 1381, 281, 1381, 846, 1254, 1152, 619, 284, 199, 273, 4960, 417, 1488, 1421, 4497, 1391, 284, 1164, 1953, 324, 9844, 1165, 1903, 2818, 282, 732, 410, 331, 1439, 784, 199, 14818, 1478, 284, 718, 277, 1873, 8422, 37103, 527, 325, 691, 331, 747, 348, 5574, 483, 5057, 739, 348, 497, 527, 33, 199, 4304, 331, 639, 40, 820, 4177, 3743, 4602, 435, 5495, 4995, 331, 555, 6819, 46247, 621, 261, 614, 364, 6534, 199, 527, 4995, 360, 534, 6819, 739, 6991, 264, 3566, 17585, 286, 959, 395, 1961, 465, 5574, 510, 301, 691, 7328, 199, 37, 776, 324, 447, 11976, 2149, 1300, 581, 315, 1475, 433, 1908, 882, 324, 621, 335, 3090, 2887, 318, 787, 34871, 354, 199, 2126, 487, 762, 633, 2204, 1953, 291, 742, 264, 994, 1155, 358, 739, 273, 621, 259, 627, 8708, 1814, 722, 333, 1756, 199, 1873, 282, 2368, 439, 732, 283, 439, 2068, 7704, 6066, 1277, 6258, 5884, 688, 271, 1155, 413, 739, 281, 551, 476, 199, 545, 8708, 1814, 682, 7217, 6307, 614, 271, 439, 14673, 380, 686, 1040, 537, 31827, 1758, 2053, 33516, 33, 199, 3117, 458, 739, 663, 1228, 363, 4466, 13205, 1130, 48, 4919, 318, 35899, 732, 17021, 890, 263, 523, 542, 21349, 199, 12973, 43845, 523, 426, 12931, 364, 739, 33077, 840, 438, 273, 1191, 5716, 1627, 348, 3255, 1220, 686, 331, 460, 199, 299, 3266, 3159, 5224, 34760, 289, 1848, 413, 3179, 358, 688, 5271, 1798, 263, 913, 1095, 442, 996, 554, 362, 1182, 199, 3602, 5349, 850, 537, 1247, 358, 30979, 994, 4732, 42596, 982, 282, 556, 1048, 1341, 6215, 1401, 278, 2337, 199, 13942, 2707, 289, 199, 0, 199, 1337, 849, 55, 951, 15580, 270, 782, 294, 555, 1121, 579, 452, 404, 9679, 2441, 1218, 25471, 1858, 327, 728, 270, 566, 362, 199, 891, 418, 281, 1220, 414, 381, 3737, 269, 2220, 1075, 348, 579, 1672, 3007, 463, 330, 2830, 675, 367, 596, 446, 941, 262, 199, 426, 2153, 22673, 595, 395, 13368, 11248, 786, 277, 2563, 25911, 699, 37327, 12741, 658, 406, 482, 1093, 297, 1751, 35, 199, 1508, 258, 755, 499, 415, 718, 280, 425, 9675, 290, 1760, 376, 11713, 779, 1029, 18420, 1642, 331, 537, 1884, 269, 1015, 41, 199, 3024, 367, 2058, 257, 1515, 1727, 298, 3861, 260, 661, 974, 321, 395, 1109, 1252, 34308, 931, 315, 1131, 16354, 413, 1756, 199, 315, 33553, 453, 3055, 807, 1439, 405, 21426, 39591, 2601, 300, 3751, 426, 803, 388, 577, 265, 447, 14050, 904, 2783, 199, 2772, 10276, 642, 298, 1101, 7542, 426, 33403, 578, 12899, 1354, 49452, 1595, 6900, 1523, 287, 670, 10335, 17280, 199 ]

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

[ 2984, 15351, 2338, 1987, 1551, 1098, 746, 269, 1199, 327, 419, 37653, 884, 338, 20264, 338, 13076, 35294, 24223, 347, 199, 29060, 668, 638, 4715, 604, 551, 6401, 5319, 20160, 456, 1957, 358, 1488, 10768, 592, 279, 1293, 27392, 1848, 54, 199, 3853, 472, 323, 8123, 2974, 22366, 3593, 369, 1231, 4410, 564, 6055, 380, 19475, 666, 403, 1177, 2071, 1101, 265, 559, 199, 2472, 23023, 257, 553, 442, 2779, 497, 1192, 833, 732, 482, 489, 926, 5650, 1077, 294, 1035, 560, 492, 10518, 1429, 199, 27044, 15399, 2865, 5212, 447, 3048, 363, 16970, 15537, 567, 6510, 341, 3146, 1034, 11841, 970, 644, 349, 2534, 285, 199, 1987, 504, 10267, 1029, 49378, 1250, 1496, 714, 7033, 26585, 11197, 1102, 33381, 1067, 36597, 407, 4097, 446, 199, 44, 19524, 2655, 36356, 1478, 984, 33920, 484, 645, 28338, 1544, 457, 1185, 902, 12606, 6727, 575, 15846, 709, 199, 3933, 12655, 372, 27304, 793, 378, 2656, 1662, 336, 1203, 502, 9843, 1587, 440, 3904, 623, 458, 5083, 344, 852, 542, 199, 1695, 33407, 1246, 488, 760, 300, 462, 730, 3742, 348, 632, 606, 2302, 4520, 1009, 1122, 22419, 1141, 4313, 8320, 199, 1782, 6778, 625, 689, 265, 34657, 31619, 25342, 2644, 2297, 24209, 327, 1135, 4134, 275, 2886, 13447, 1329, 569, 199, 37, 652, 519, 385, 199, 0, 199, 7353, 373, 398, 603, 345, 9259, 7010, 1599, 4910, 5440, 537, 5944, 619, 18309, 1592, 683, 335, 2182, 1314, 52, 199, 691, 582, 6530, 688, 10073, 578, 18343, 507, 569, 1623, 689, 13796, 26221, 418, 2246, 2947, 290, 1864, 4029, 12334, 199, 341, 650, 14457, 2404, 3205, 1241, 10604, 3558, 367, 2961, 24157, 841, 8782, 11552, 49402, 2423, 479, 3030, 199, 9439, 412, 3277, 389, 2388, 330, 1086, 31697, 12846, 982, 538, 368, 451, 31074, 1878, 10266, 630, 410, 840, 277, 3507, 52, 199, 503, 537, 39682, 40621, 25920, 3290, 565, 271, 1260, 30110, 1011, 426, 5248, 1895, 521, 566, 1479, 708, 12788, 199, 11412, 1955, 30193, 362, 1509, 1900, 1285, 1621, 404, 1550, 327, 16607, 1764, 779, 513, 1441, 393, 23512, 282, 1479, 654, 199, 4525, 457, 24298, 7939, 8479, 318, 508, 7725, 1829, 292, 429, 923, 24428, 1251, 464, 351, 576, 728, 391, 9239, 404, 199, 683, 371, 16718, 1122, 999, 1625, 14914, 9735, 755, 326, 9943, 340, 11638, 1958, 3034, 747, 553, 4582, 4221, 341, 199, 318, 3052, 426, 8436, 508, 6280, 3705, 586, 933, 496, 8018, 466, 380, 4883, 786, 334, 5058, 2046, 28355, 8798, 199, 20736, 8785, 324, 558, 1211, 327, 654, 524, 15896, 13923, 299, 733, 9154, 2746, 16703, 329, 517, 1913, 277, 6394, 199, 292, 1867, 366, 416, 26576, 1070, 28395, 2679, 941, 6418, 3792, 434, 680, 57, 1350, 3828, 25192, 474, 333, 6084, 199, 404, 429, 836, 7494, 2088, 329, 3074, 1199, 3202, 404, 20156, 281, 4484, 765, 22932, 1969, 292, 996, 770, 257, 1608, 52, 199, 1514, 1902, 330, 1296, 4484, 10395, 23330, 2977, 520, 13743, 18643, 1200, 393, 314, 583, 29599, 614, 317, 468, 578, 416, 199, 450, 19817, 2114, 3618, 608, 949, 322, 1207, 1639, 320, 642, 31279, 3780, 5591, 561, 708, 411, 2422, 398 ]

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

[ 2723, 1214, 199, 2232, 2435, 4002, 2890, 944, 470, 368, 1609, 2085, 546, 5758, 399, 3098, 408, 1047, 366, 409, 392, 2768, 382, 990, 356, 1772, 199, 431, 314, 1112, 323, 656, 6526, 687, 489, 13314, 3162, 1863, 352, 3786, 2382, 269, 936, 6341, 41162, 6347, 297, 21339, 199, 44, 1019, 476, 43623, 3361, 37035, 1678, 994, 6623, 850, 656, 20538, 1847, 25335, 1167, 377, 373, 1451, 6739, 546, 199, 410, 603, 735, 731, 941, 4342, 656, 19710, 2420, 17927, 1440, 264, 675, 369, 1993, 389, 580, 399, 865, 826, 8929, 199, 451, 12415, 340, 1745, 337, 3025, 27883, 9896, 386, 2313, 261, 1038, 394, 2036, 5339, 2982, 730, 2302, 344, 2540, 535, 199, 2170, 312, 17221, 199, 0, 199, 29270, 5027, 1713, 6847, 1216, 1662, 1168, 267, 1050, 373, 772, 45987, 418, 1373, 22187, 2191, 55, 677, 1497, 5139, 199, 1381, 375, 761, 426, 39008, 1010, 1201, 1448, 801, 471, 3873, 406, 3211, 43, 1046, 1810, 1639, 12534, 292, 8404, 2301, 199, 405, 1222, 1478, 1084, 271, 1244, 10716, 6902, 316, 1350, 25861, 929, 1092, 1884, 334, 6915, 392, 418, 30224, 622, 52, 199, 44, 558, 17682, 445, 806, 286, 1088, 859, 7916, 892, 17856, 7727, 8294, 717, 451, 25334, 932, 391, 351, 3007, 57, 199, 1355, 353, 339, 430, 967, 361, 15158, 373, 453, 1231, 283, 3083, 269, 585, 17017, 5854, 328, 756, 330, 453, 469, 5217, 6507, 199, 316, 4999, 4375, 488, 5078, 288, 1568, 7516, 30201, 19830, 431, 879, 16219, 846, 7584, 342, 16583, 3183, 707, 199, 280, 4836, 1006, 316, 1285, 367, 469, 1282, 4808, 573, 2321, 273, 1405, 1536, 273, 1392, 5081, 29424, 2538, 10160, 199, 9999, 5286, 636, 42537, 2238, 385, 47610, 396, 1644, 378, 4576, 2370, 1803, 266, 29590, 740, 42304, 576, 478, 3926, 199, 6998, 842, 2255, 419, 2416, 1549, 522, 2968, 5732, 566, 7552, 858, 31555, 507, 19366, 1026, 1710, 346, 3618, 567, 338, 199, 14319, 406, 2192, 24425, 4580, 1981, 2167, 40254, 18202, 5488, 761, 27871, 55, 1292, 32069, 643, 4739, 1412, 500, 199, 838, 1550, 13141, 485, 24954, 6849, 8399, 330, 658, 40, 1009, 396, 2773, 281, 1033, 8419, 914, 414, 347, 5167, 667, 199, 2045, 3026, 296, 1133, 402, 628, 17904, 442, 1934, 23192, 5934, 10825, 583, 2777, 335, 975, 260, 2290, 790, 5050, 199, 320, 677, 260, 2142, 1950, 1455, 515, 11091, 415, 8619, 726, 521, 2538, 706, 46004, 1063, 3816, 1150, 16437, 463, 453, 199, 37, 5396, 22227, 279, 1693, 400, 477, 1750, 393, 891, 1500, 29316, 17675, 31405, 525, 428, 2630, 2363, 364, 531, 441, 580, 199, 1694, 539, 12233, 1497, 731, 462, 551, 431, 11498, 1264, 708, 312, 2419, 470, 1322, 320, 15912, 30588, 1022, 547, 786, 199, 18589, 2916, 270, 788, 3637, 2052, 484, 895, 475, 15987, 1060, 2872, 47705, 7122, 422, 807, 566, 10624, 542, 1148, 292, 199, 29625, 416, 27520, 347, 332, 823, 1777, 364, 723, 26889, 399, 1851, 260, 835, 39080, 848, 1293, 269, 1458, 318, 521, 660, 199, 2858, 1501, 376, 688, 269, 1999, 36, 1695, 11156, 280, 1189, 588, 43424, 721, 29619, 25790, 1812, 31903, 509, 1716, 5434, 199 ]

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

[ 40133, 793, 19322, 333, 2795, 17028, 827, 4574, 312, 411, 433, 1152, 42841, 3104, 2516, 391, 7162, 609, 1271, 43, 199, 279, 1589, 15716, 199, 0, 199, 36286, 4450, 330, 2114, 20564, 30836, 1300, 417, 12158, 425, 372, 445, 850, 487, 499, 46341, 2191, 2220, 1187, 9885, 199, 21443, 1352, 356, 2789, 2507, 4041, 48340, 27414, 18625, 6291, 30816, 596, 1645, 16104, 1233, 842, 1233, 9911, 199, 1352, 334, 422, 337, 1777, 38784, 369, 952, 428, 12503, 40409, 927, 341, 4177, 37458, 42828, 1815, 481, 2132, 34175, 199, 39, 758, 26076, 564, 3922, 313, 779, 417, 367, 22101, 680, 32206, 25073, 15999, 6981, 5506, 41219, 26658, 384, 398, 199, 30800, 44286, 7115, 519, 6715, 295, 1764, 397, 770, 420, 6213, 564, 347, 427, 2205, 448, 9915, 270, 970, 2295, 299, 199, 9699, 367, 1042, 6884, 32817, 555, 4367, 15929, 471, 402, 1465, 1063, 13322, 314, 1817, 1043, 1707, 513, 5310, 265, 199, 734, 9192, 951, 9592, 818, 12431, 1356, 1457, 330, 2116, 18255, 479, 1046, 551, 1672, 581, 730, 353, 519, 1796, 376, 199, 515, 21819, 8741, 1230, 905, 11943, 3427, 276, 1239, 351, 26234, 1482, 8138, 694, 23607, 1959, 2911, 605, 279, 199, 298, 1736, 1664, 406, 1880, 340, 526, 350, 1984, 261, 443, 2182, 31016, 895, 343, 6541, 1898, 300, 902, 490, 352, 1179, 14079, 199, 29197, 317, 1349, 4522, 318, 901, 3469, 826, 1122, 1212, 385, 3600, 259, 2471, 24701, 5919, 2330, 2573, 18032, 48, 199, 542, 378, 3746, 1152, 433, 8562, 5957, 403, 455, 32553, 15509, 6030, 344, 1067, 27122, 418, 385, 14579, 1056, 501, 199, 1208, 358, 2178, 291, 9855, 3233, 8565, 674, 267, 933, 337, 4732, 8973, 1199, 1554, 15057, 26899, 347, 443, 1159, 199, 1500, 938, 659, 714, 317, 1704, 286, 997, 275, 12143, 600, 2509, 8424, 738, 7650, 3334, 925, 10374, 8494, 199, 37, 3788, 413, 2280, 947, 886, 32670, 6334, 452, 3309, 1817, 5065, 475, 23888, 418, 1199, 423, 524, 695, 1790, 313, 199, 6958, 9620, 391, 1372, 19127, 875, 40336, 1261, 621, 335, 467, 16659, 1562, 598, 509, 22862, 1638, 324, 2132, 314, 199, 20273, 1029, 265, 582, 25195, 2034, 327, 795, 9081, 3292, 862, 423, 10088, 317, 951, 26667, 786, 17060, 1055, 33, 199, 1069, 600, 419, 1127, 274, 2780, 1928, 281, 1244, 350, 30103, 1074, 839, 352, 735, 40122, 2160, 25605, 1713, 48, 1810, 199, 279, 402, 462, 24573, 418, 2097, 293, 5278, 29157, 1901, 583, 21515, 2013, 549, 1810, 523, 453, 391, 497, 520, 3818, 2603, 45, 199, 2676, 346, 766, 45370, 529, 738, 405, 1194, 4594, 860, 4075, 2110, 8394, 36719, 1016, 332, 4680, 480, 1554, 44218, 199, 42544, 848, 279, 199, 0, 199, 662, 823, 361, 3960, 547, 4594, 536, 33166, 4593, 6938, 1496, 565, 4879, 383, 3468, 25739, 4690, 34630, 1033, 199, 3379, 33888, 5634, 1365, 562, 401, 491, 4462, 26884, 1427, 685, 598, 13205, 1590, 17534, 30279, 378, 642, 291, 199, 24522, 2365, 1027, 7553, 1879, 647, 483, 12153, 419, 1595, 849, 272, 7754, 325, 1060, 8534, 985, 42511, 47186, 199, 1709, 392, 657, 584, 33744, 18493, 2995, 1160, 285, 2925, 1854, 441, 8036, 455 ]

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

[ 410, 710, 455, 2761, 434, 4351, 979, 199, 14475, 1993, 679, 6648, 635, 12302, 3087, 4586, 645, 31386, 313, 694, 267, 2392, 368, 41939, 899, 1811, 269, 778, 199, 1185, 1476, 1473, 372, 20123, 14247, 667, 14044, 403, 407, 15722, 458, 1393, 800, 15786, 3222, 1417, 1744, 3609, 285, 199, 1093, 286, 2183, 420, 369, 2624, 293, 921, 430, 515, 340, 4115, 683, 5409, 1157, 1434, 1915, 364, 27265, 1654, 258, 199, 292, 474, 365, 445, 723, 1261, 26880, 477, 5243, 1373, 4123, 30920, 333, 433, 745, 794, 423, 3003, 837, 20896, 8211, 199, 5017, 825, 280, 537, 1609, 1789, 21819, 937, 464, 10155, 325, 2763, 13902, 10141, 1108, 6171, 681, 2046, 456, 199, 28636, 36746, 1115, 714, 10166, 415, 8033, 3664, 598, 301, 4372, 258, 1151, 264, 1561, 9807, 896, 6116, 7586, 199, 378, 734, 389, 1043, 431, 344, 1859, 587, 24290, 35561, 29762, 8150, 765, 12837, 10344, 12452, 2143, 471, 584, 49, 199, 8442, 1207, 1391, 985, 30853, 27743, 2821, 41320, 2892, 279, 2881, 19941, 1034, 284, 1644, 2007, 6075, 7785, 33, 199, 835, 33749, 3633, 732, 330, 10850, 7403, 14086, 335, 927, 1691, 13026, 258, 1769, 7357, 484, 1487, 1550, 26465, 199, 1145, 404, 4660, 666, 542, 1910, 433, 44862, 389, 2318, 588, 850, 383, 530, 1348, 396, 17952, 545, 10011, 4843, 2529, 33, 199, 4747, 555, 7691, 674, 264, 1181, 381, 8390, 1481, 469, 3320, 2180, 7374, 270, 1610, 497, 4922, 342, 639, 3933, 50, 199, 24018, 336, 1455, 482, 3053, 687, 336, 21595, 3123, 21819, 18415, 351, 574, 3184, 1946, 37665, 10575, 346, 14574, 33, 199, 2705, 11047, 341, 46676, 1037, 18261, 1749, 496, 562, 28397, 360, 410, 1796, 389, 26292, 2758, 279, 545, 48482, 1540, 199, 8483, 20381, 2151, 36, 786, 5502, 567, 393, 562, 18065, 1084, 2047, 14927, 697, 7212, 46631, 941, 263, 2073, 199, 515, 43601, 14760, 432, 398, 1335, 3272, 468, 8940, 514, 708, 370, 1388, 23275, 1457, 734, 9753, 389, 866, 17889, 199, 537, 12909, 281, 199, 0, 199, 2180, 1373, 331, 1230, 432, 8945, 313, 888, 2297, 287, 2527, 344, 485, 1960, 378, 580, 12870, 757, 645, 5492, 610, 1773, 199, 1076, 1219, 1737, 1115, 4521, 422, 1071, 275, 6410, 20122, 1236, 491, 5577, 6025, 623, 8996, 391, 521, 3652, 2019, 46, 199, 46462, 3133, 593, 699, 600, 6609, 804, 6881, 3636, 325, 1325, 13979, 895, 9463, 4055, 405, 17393, 1853, 390, 199, 322, 1488, 331, 14462, 1874, 1212, 7613, 1986, 21124, 9959, 5658, 777, 282, 3309, 2984, 676, 31261, 35857, 1148, 199, 479, 8343, 265, 22817, 708, 19728, 5754, 992, 481, 2191, 781, 8103, 1011, 578, 369, 2885, 1350, 1812, 288, 975, 199, 2016, 410, 313, 486, 537, 11780, 382, 34433, 8841, 433, 416, 1627, 283, 1488, 28573, 6458, 2051, 493, 351, 1811, 20732, 199, 821, 496, 345, 771, 281, 1078, 288, 412, 3904, 46089, 3574, 1304, 276, 644, 2579, 4479, 283, 1595, 765, 41622, 864, 199, 340, 1595, 2674, 9338, 7593, 2144, 8528, 406, 7716, 2961, 47984, 783, 317, 759, 17303, 12413, 4445, 1250, 199, 16646, 329, 696, 578, 4768, 11042, 986, 283, 2029, 18408, 46, 1878, 388, 2729 ]

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

[ 358, 14337, 5250, 267, 1201, 435, 331, 199, 1276, 533, 11675, 8467, 4668, 21569, 788, 6416, 464, 4867, 39057, 413, 1527, 11593, 350, 9048, 8644, 464, 33, 199, 443, 13743, 17116, 275, 969, 323, 1268, 14666, 359, 1110, 1028, 1278, 413, 1022, 2763, 357, 725, 1332, 406, 4899, 1199, 33, 199, 4843, 7884, 2763, 376, 4274, 596, 371, 817, 6904, 408, 4260, 516, 6545, 1561, 343, 8400, 1152, 5253, 675, 356, 199, 28651, 2911, 783, 350, 4547, 14137, 1241, 432, 5663, 621, 371, 762, 17192, 513, 8779, 39284, 413, 615, 400, 22934, 199, 6532, 371, 6304, 295, 5324, 1241, 29475, 2317, 55, 2064, 21729, 2086, 36296, 946, 49445, 2774, 515, 32737, 19047, 199, 1068, 316, 1258, 1352, 14991, 35188, 730, 46262, 13556, 295, 895, 23266, 29232, 13436, 1283, 281, 1567, 6782, 199, 277, 3262, 318, 969, 2463, 959, 1208, 557, 578, 671, 14174, 757, 13446, 1099, 765, 1268, 336, 471, 25640, 41, 199, 385, 4949, 274, 551, 563, 367, 1711, 1158, 598, 7121, 672, 1132, 557, 671, 293, 534, 3358, 762, 295, 2605, 464, 585, 706, 199, 356, 1300, 406, 5032, 1805, 362, 19808, 421, 12007, 440, 326, 3504, 35546, 1021, 41014, 4995, 646, 361, 22491, 261, 199, 3379, 896, 2119, 277, 2240, 594, 21622, 2897, 467, 5933, 11174, 991, 20519, 6633, 293, 1890, 277, 563, 3504, 1391, 199, 23175, 4221, 8647, 199, 0, 199, 382, 31224, 3538, 1241, 584, 1002, 3272, 7792, 782, 33433, 3746, 279, 803, 285, 2774, 4462, 509, 1405, 509, 199, 1405, 509, 1405, 26877, 7240, 2174, 17191, 976, 324, 952, 678, 4197, 351, 14685, 727, 417, 1915, 364, 687, 966, 199, 51, 12734, 483, 12048, 422, 915, 377, 703, 1211, 312, 778, 276, 7432, 34188, 1727, 828, 30557, 848, 613, 15155, 1048, 55, 199, 387, 484, 526, 703, 276, 769, 2909, 497, 547, 696, 476, 6325, 27878, 2705, 273, 10029, 806, 14454, 5108, 410, 1627, 317, 199, 45006, 1432, 3318, 405, 2113, 8500, 2741, 617, 1588, 595, 15897, 547, 440, 643, 26905, 1060, 1191, 276, 800, 8536, 199, 5885, 2928, 1368, 4318, 822, 352, 13869, 15561, 1469, 7275, 444, 281, 8893, 892, 1712, 2369, 325, 691, 1647, 199, 12145, 510, 2467, 513, 8451, 490, 445, 1233, 282, 1461, 258, 1010, 808, 277, 1557, 923, 389, 390, 1283, 325, 854, 1583, 467, 199, 7419, 11726, 20815, 370, 1108, 2636, 373, 1268, 1177, 772, 382, 2547, 12079, 475, 977, 278, 1448, 356, 8528, 22875, 199, 282, 5553, 1736, 550, 28321, 4761, 684, 1168, 39143, 1540, 406, 21623, 609, 19462, 401, 731, 7987, 1806, 429, 199, 333, 731, 4370, 595, 8289, 1804, 8810, 704, 2335, 1241, 3592, 314, 1320, 1530, 2669, 504, 833, 1642, 259, 1540, 199, 39062, 4873, 3968, 954, 471, 25051, 325, 34653, 443, 3777, 421, 7081, 1228, 14300, 10089, 282, 1056, 771, 8156, 199, 623, 356, 20814, 27346, 3636, 535, 1467, 758, 296, 521, 10184, 611, 280, 11461, 1387, 10172, 330, 1816, 418, 5636, 199, 21026, 470, 373, 471, 9743, 841, 470, 23336, 1008, 337, 573, 373, 15059, 834, 10877, 2851, 362, 2190, 652, 391, 50, 1061, 326, 199, 6306, 7208, 2563, 389, 25306, 324, 1953, 630 ]

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

[ 2901, 14693, 4168, 8993, 27906, 891, 1588, 4328, 693, 5144, 50, 199, 777, 6214, 12047, 341, 28949, 378, 2475, 2298, 733, 335, 26715, 1704, 573, 954, 4839, 1310, 334, 451, 6689, 6280, 199, 47135, 259, 1058, 2784, 24380, 1941, 370, 538, 11599, 610, 2343, 29594, 591, 409, 1543, 1553, 5659, 973, 4340, 674, 33, 199, 323, 4877, 380, 39958, 1049, 28123, 612, 806, 763, 1095, 57, 1402, 596, 23270, 16945, 281, 1906, 21625, 5008, 8901, 199, 2261, 957, 314, 1002, 322, 3473, 2531, 709, 345, 2247, 9115, 667, 401, 620, 521, 820, 367, 594, 279, 832, 42774, 1855, 199, 730, 334, 606, 489, 356, 2252, 3375, 346, 702, 420, 400, 1924, 2739, 326, 662, 397, 3194, 282, 2037, 3667, 321, 986, 199, 13243, 199, 0, 199, 1129, 28224, 497, 789, 27534, 350, 1951, 10451, 14919, 1263, 279, 5076, 483, 1193, 6741, 4125, 343, 12960, 587, 199, 342, 2691, 325, 10624, 1153, 34021, 1241, 669, 9680, 281, 1247, 8161, 273, 1020, 3255, 49878, 1431, 291, 908, 537, 199, 279, 1275, 40615, 636, 342, 904, 1619, 333, 895, 3414, 435, 664, 1245, 282, 25805, 768, 595, 2400, 386, 48656, 1284, 199, 51, 579, 2372, 509, 391, 2042, 1474, 18231, 10283, 4602, 654, 292, 825, 36083, 358, 2038, 1319, 388, 1305, 36, 908, 383, 199, 32498, 1002, 2499, 8278, 424, 708, 30459, 1019, 3077, 813, 10840, 5325, 2557, 2297, 534, 625, 521, 1816, 625, 282, 199, 15441, 9856, 55, 1882, 407, 608, 924, 3172, 14712, 485, 5571, 1415, 579, 25747, 1252, 3880, 828, 380, 1583, 2202, 298, 199, 273, 1062, 4660, 2337, 18303, 7195, 404, 550, 789, 327, 1473, 3746, 382, 644, 481, 10847, 442, 1768, 923, 337, 199, 41599, 443, 5527, 12746, 1772, 5032, 31398, 431, 336, 1351, 5691, 506, 8172, 483, 593, 7127, 1819, 346, 5162, 199, 23939, 1553, 264, 1350, 1082, 3600, 5473, 288, 2071, 1557, 330, 673, 2987, 672, 5764, 22940, 366, 11717, 975, 199, 3018, 17347, 421, 1486, 398, 9105, 268, 556, 325, 2689, 339, 5295, 1475, 424, 5164, 509, 19790, 400, 5132, 351, 1522, 52, 199, 398, 913, 14776, 6201, 326, 3616, 1256, 329, 10316, 1236, 38503, 338, 893, 46190, 10236, 14929, 8288, 534, 5835, 49, 199, 608, 24925, 2376, 7606, 663, 297, 8485, 378, 407, 39408, 260, 642, 2943, 57, 1351, 482, 7631, 966, 36885, 382, 7594, 199, 7946, 9426, 400, 15702, 9115, 1387, 414, 3267, 1796, 1796, 7868, 7785, 490, 12486, 267, 2708, 451, 1869, 902, 33, 199, 1200, 1069, 1816, 356, 521, 401, 6255, 1002, 2224, 407, 6338, 4283, 578, 26145, 1381, 5545, 1727, 1069, 771, 1012, 199, 389, 41850, 929, 3547, 837, 10523, 10019, 46, 828, 335, 1368, 10383, 10383, 353, 958, 14620, 908, 739, 319, 199, 289, 6644, 916, 1144, 272, 9065, 8199, 337, 3947, 26611, 2053, 6258, 762, 1959, 1010, 2729, 43213, 199, 5080, 432, 8022, 16079, 793, 278, 17231, 296, 32126, 1243, 2652, 1089, 13854, 418, 814, 9670, 471, 23949, 442, 199, 361, 1008, 1580, 4374, 299, 1749, 1320, 882, 659, 262, 996, 2405, 4156, 4496, 807, 18620, 754, 1165, 727, 696, 199, 790, 266, 12320, 3535, 919, 386, 339, 3844, 20526 ]

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

[ 485, 6314, 379, 677, 291, 1386, 1814, 498, 11940, 1727, 523, 199, 5168, 966, 3436, 199, 0, 199, 1145, 22811, 258, 777, 9006, 515, 20491, 685, 645, 2655, 697, 4185, 1540, 2786, 472, 11902, 802, 403, 5944, 199, 522, 39084, 366, 11156, 5011, 522, 2221, 509, 536, 7554, 371, 1841, 537, 5632, 26089, 568, 370, 391, 32275, 5315, 199, 374, 1895, 386, 704, 422, 1851, 21698, 384, 9001, 366, 6858, 3220, 334, 1210, 7676, 966, 337, 1449, 1214, 345, 471, 199, 37, 908, 8295, 6084, 1166, 17430, 298, 1187, 370, 634, 370, 792, 17922, 1063, 873, 999, 333, 1351, 503, 1431, 15202, 199, 19809, 341, 13575, 342, 10752, 393, 10480, 356, 875, 366, 897, 461, 22261, 45965, 900, 40114, 3555, 1920, 3945, 199, 2329, 23048, 1492, 414, 27265, 1450, 18116, 955, 27219, 433, 1882, 18065, 17974, 7978, 13273, 808, 35991, 325, 375, 199, 17584, 1888, 2669, 855, 1187, 329, 2388, 3358, 5176, 426, 762, 1449, 463, 380, 497, 14043, 1174, 5738, 352, 1815, 199, 684, 3626, 326, 3759, 822, 422, 6098, 397, 1457, 2795, 1149, 35822, 1010, 4630, 414, 408, 8941, 31053, 875, 403, 199, 33860, 368, 630, 26234, 25625, 4457, 294, 603, 501, 30828, 393, 885, 800, 2371, 297, 1281, 280, 728, 794, 24715, 199, 2116, 41383, 602, 275, 673, 1071, 269, 1653, 36235, 290, 1496, 492, 10201, 327, 551, 259, 1116, 418, 925, 405, 423, 1152, 312, 199, 600, 20113, 9381, 1072, 10887, 558, 2994, 754, 393, 2209, 6904, 967, 350, 786, 330, 733, 11717, 481, 806, 260, 199, 952, 470, 3537, 428, 318, 4260, 2218, 292, 33295, 403, 4649, 19760, 816, 5287, 40, 841, 284, 28756, 1934, 6274, 199, 5168, 22277, 342, 6379, 1951, 1106, 2561, 38744, 24801, 1558, 39872, 8945, 282, 596, 7287, 350, 11135, 1081, 199, 2483, 25705, 282, 914, 4697, 280, 925, 1168, 766, 3074, 1490, 1132, 11322, 1163, 265, 813, 1201, 788, 29707, 1300, 199, 40750, 401, 1073, 284, 734, 390, 12314, 650, 8047, 380, 952, 1542, 1236, 2251, 47639, 771, 319, 725, 284, 1674, 523, 52, 199, 260, 1693, 19710, 539, 3538, 18777, 512, 9620, 22157, 1282, 378, 676, 277, 16315, 861, 1816, 409, 8075, 526, 1919, 199, 659, 28422, 778, 321, 1136, 2423, 4118, 3980, 1004, 2135, 282, 2444, 1852, 4052, 689, 441, 5263, 38626, 1265, 49, 199, 389, 623, 23263, 2899, 1829, 5963, 43162, 406, 726, 288, 650, 504, 3387, 377, 752, 36829, 3962, 3739, 671, 27714, 199, 439, 388, 1697, 9691, 876, 486, 325, 5139, 597, 337, 2162, 1718, 10051, 26373, 7039, 24873, 363, 925, 593, 408, 199, 2007, 600, 7280, 199, 0, 199, 27746, 386, 15939, 2611, 8377, 22604, 5527, 332, 2890, 301, 12228, 637, 1410, 1036, 15360, 3008, 403, 1807, 317, 199, 9947, 490, 13928, 9300, 1306, 10451, 4492, 18686, 6373, 1849, 510, 295, 1059, 379, 41926, 4441, 14508, 3090, 55, 199, 636, 295, 3031, 340, 590, 399, 7010, 995, 564, 1136, 985, 3658, 3101, 1422, 26522, 733, 6609, 704, 374, 15476, 361, 844, 199, 1222, 1662, 564, 322, 2803, 584, 2277, 271, 2838, 522, 1390, 443, 10722, 267, 1400, 25013, 25023, 8419, 4672, 42147, 199, 276, 4694, 317 ]

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

[ 3096, 899, 313, 3855, 48853, 26624, 1433, 263, 1686, 391, 26851, 6367, 298, 534, 8155, 483, 366, 199, 1702, 343, 1012, 280, 30499, 511, 18850, 270, 693, 3071, 722, 265, 805, 8188, 379, 420, 5908, 407, 1299, 495, 8752, 199, 39, 5640, 301, 1579, 274, 1242, 818, 3357, 2508, 1979, 663, 15104, 615, 41737, 1072, 16413, 318, 366, 11154, 2545, 1843, 199, 480, 3641, 563, 11348, 675, 282, 883, 3499, 543, 2468, 972, 273, 652, 14929, 261, 47476, 3647, 10286, 1324, 784, 199, 37, 621, 271, 1266, 2535, 526, 275, 1626, 261, 611, 462, 601, 45669, 572, 14821, 409, 18020, 435, 1757, 824, 2975, 779, 199, 327, 748, 44729, 280, 1867, 347, 1676, 1951, 318, 1153, 265, 38968, 1348, 6838, 2625, 17589, 691, 1402, 269, 424, 2620, 199, 15321, 1236, 277, 890, 4608, 490, 11643, 666, 637, 386, 847, 362, 573, 6154, 2669, 4988, 2132, 327, 511, 4620, 263, 199, 2753, 1422, 322, 1075, 374, 1026, 963, 2379, 270, 762, 2386, 13655, 315, 1203, 15276, 40069, 579, 2452, 282, 1035, 409, 199, 1110, 29032, 2605, 16408, 1577, 657, 286, 1247, 10923, 1300, 1956, 2682, 6028, 1597, 7712, 11341, 4619, 272, 1843, 199, 2545, 2399, 457, 1200, 318, 5437, 3492, 393, 773, 459, 12163, 1318, 17485, 8637, 342, 3859, 10873, 1730, 312, 1281, 199, 293, 3289, 3097, 42610, 872, 4462, 1071, 952, 5445, 15997, 406, 12925, 374, 427, 30365, 374, 1023, 987, 15717, 199, 515, 619, 7928, 16054, 1790, 12766, 368, 29378, 1180, 384, 22742, 1156, 383, 1294, 559, 4142, 364, 594, 7573, 3747, 199, 391, 1744, 3977, 2386, 8026, 370, 1307, 314, 737, 1344, 2821, 4631, 7289, 536, 398, 1654, 7879, 13957, 996, 199, 762, 375, 4304, 20951, 327, 1220, 318, 2913, 1362, 1131, 1943, 504, 358, 18640, 966, 2000, 14461, 1026, 358, 1801, 52, 199, 32276, 3837, 23211, 1300, 999, 458, 500, 1540, 578, 2060, 755, 1742, 295, 1184, 265, 5434, 38711, 1851, 3787, 340, 199, 410, 1248, 507, 281, 199, 0, 199, 45, 1567, 406, 3317, 4351, 5868, 296, 7306, 318, 1992, 378, 4223, 799, 359, 1085, 258, 1906, 15432, 1206, 277, 708, 199, 10581, 479, 17307, 691, 5317, 20914, 1101, 16640, 1074, 361, 1591, 1815, 31378, 2273, 3149, 2708, 3703, 481, 258, 199, 353, 15748, 6017, 3271, 620, 370, 3591, 2391, 521, 14674, 3894, 1167, 1011, 41042, 620, 822, 1226, 1844, 1848, 199, 1576, 1253, 13271, 883, 259, 1023, 594, 280, 491, 17813, 1046, 46349, 1078, 745, 635, 452, 283, 822, 279, 1506, 459, 1267, 199, 44, 8524, 350, 1272, 778, 10570, 638, 19805, 268, 1027, 443, 6623, 26706, 530, 1654, 377, 909, 480, 44470, 2991, 4167, 199, 435, 35281, 1352, 286, 513, 7399, 11101, 519, 1009, 387, 908, 10853, 1615, 318, 830, 280, 677, 10794, 732, 1895, 496, 199, 1693, 6532, 369, 2142, 1093, 7239, 6303, 314, 2541, 1833, 3286, 690, 2120, 318, 1417, 790, 513, 4085, 772, 6874, 199, 18847, 1299, 515, 431, 11593, 470, 533, 1160, 333, 841, 607, 295, 1593, 264, 1260, 31032, 745, 449, 2342, 2227, 1288, 259, 199, 9673, 335, 1059, 755, 350, 1381, 8702, 354, 1961, 1276, 19636, 409, 614, 6352, 283 ]

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

[ 3041, 41514, 326, 2392, 3089, 45, 199, 30805, 495, 8955, 367, 484, 609, 513, 9118, 432, 8873, 273, 7058, 2342, 537, 501, 9017, 324, 1135, 284, 733, 2299, 199, 3869, 1392, 16441, 14851, 3538, 754, 15035, 9362, 17546, 1850, 3144, 3070, 264, 1563, 1280, 7362, 360, 1756, 199, 4464, 330, 5042, 483, 48917, 987, 14922, 44379, 776, 385, 9517, 6694, 705, 258, 720, 262, 24206, 2064, 333, 199, 279, 758, 262, 534, 17248, 1013, 334, 996, 8017, 358, 1247, 8776, 41657, 551, 18127, 412, 578, 7355, 682, 277, 199, 6807, 802, 318, 543, 6261, 44928, 2298, 2353, 47990, 1095, 389, 874, 282, 673, 2093, 6429, 9307, 889, 40, 199, 47623, 398, 1796, 6587, 1195, 2387, 2796, 479, 3538, 389, 807, 565, 6565, 282, 732, 284, 976, 271, 1747, 6406, 199, 473, 888, 640, 406, 3126, 9142, 546, 273, 1647, 2948, 16195, 401, 4177, 324, 932, 312, 5816, 884, 718, 602, 4968, 199, 13782, 283, 3964, 551, 3446, 3668, 21220, 6300, 42306, 266, 39655, 889, 428, 11196, 498, 19937, 673, 331, 199, 39, 578, 570, 292, 23221, 24071, 3348, 6388, 4184, 527, 26039, 503, 315, 1350, 6406, 333, 359, 8219, 23071, 199, 22475, 2865, 582, 4019, 49193, 983, 326, 890, 1514, 267, 1279, 8804, 521, 421, 9448, 334, 6082, 327, 2172, 283, 45, 199, 392, 662, 6880, 38, 199, 0, 199, 1964, 362, 1956, 427, 9675, 24012, 31516, 22315, 431, 23041, 1405, 831, 301, 528, 6634, 41755, 1852, 336, 4991, 17742, 199, 4386, 448, 9616, 3649, 748, 286, 774, 2678, 7056, 280, 3760, 16498, 1461, 3092, 22371, 909, 1139, 260, 1795, 48, 199, 2563, 28599, 3475, 278, 1197, 30561, 963, 367, 21507, 21163, 2912, 8534, 425, 4127, 16174, 652, 319, 705, 335, 199, 2253, 533, 3274, 11809, 25499, 3851, 770, 2352, 533, 24487, 349, 591, 1199, 4199, 22585, 1192, 7128, 496, 734, 289, 199, 520, 320, 1734, 2134, 291, 23352, 1352, 12706, 11636, 433, 1249, 4443, 2683, 554, 442, 333, 1632, 492, 20305, 3493, 410, 199, 2045, 279, 2021, 1363, 289, 855, 258, 1148, 7981, 16207, 348, 1078, 642, 349, 1552, 969, 992, 1248, 13205, 1435, 655, 199, 7472, 721, 298, 2039, 3258, 763, 34140, 262, 921, 41199, 15178, 611, 338, 26684, 13815, 1157, 381, 4599, 13901, 43, 199, 388, 1765, 416, 8673, 1942, 1031, 7980, 783, 297, 956, 4423, 319, 17390, 3750, 438, 27660, 568, 257, 649, 265, 1772, 199, 40986, 535, 442, 4200, 1358, 39245, 2526, 6147, 606, 399, 267, 854, 745, 568, 17202, 13718, 4273, 20806, 4403, 199, 6998, 2189, 461, 7794, 22516, 1836, 11981, 297, 7019, 341, 412, 4023, 2686, 489, 1388, 400, 759, 26748, 1912, 674, 199, 1339, 366, 408, 1518, 343, 5179, 9020, 1711, 1432, 387, 4109, 2945, 412, 672, 4070, 298, 476, 12732, 1854, 839, 270, 199, 7408, 314, 532, 330, 1614, 263, 5473, 1912, 674, 385, 1751, 787, 12509, 8972, 47249, 1125, 441, 1939, 3687, 19068, 199, 282, 994, 357, 1848, 275, 12585, 856, 355, 13431, 37120, 4747, 1627, 329, 13525, 576, 17145, 21062, 1671, 551, 320, 199, 278, 1968, 422, 442, 1972, 294, 3519, 384, 1279, 31893, 5573, 5403, 1342, 532, 1207, 293, 420 ]

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

[ 18001, 4160, 730, 541, 199, 10623, 373, 964, 10182, 427, 8085, 1471, 3699, 366, 435, 3748, 1823, 868, 1204, 471, 24276, 5047, 285, 1160, 1901, 484, 199, 8277, 3217, 19289, 1203, 10098, 2315, 347, 1692, 3142, 18869, 272, 460, 3091, 326, 1518, 18615, 301, 381, 1731, 1514, 199, 33978, 1076, 435, 497, 312, 2556, 27051, 1217, 1053, 1113, 574, 704, 369, 3999, 342, 8677, 263, 649, 37927, 2865, 28475, 199, 40389, 422, 1790, 418, 858, 552, 4435, 1472, 6629, 26022, 2844, 1266, 1341, 338, 2670, 1199, 12550, 1394, 410, 32007, 199, 32852, 18378, 373, 664, 10753, 22723, 17880, 3707, 263, 504, 345, 5124, 887, 263, 818, 17311, 3481, 299, 5334, 417, 199, 2549, 25717, 298, 199, 0, 199, 2577, 15482, 26915, 640, 322, 1951, 1177, 336, 1436, 21488, 619, 15012, 1469, 17233, 5322, 22690, 384, 4111, 429, 199, 483, 1113, 487, 1956, 6329, 1485, 350, 395, 982, 686, 11919, 891, 1645, 27149, 875, 374, 1304, 4127, 729, 329, 19417, 199, 438, 258, 1653, 41, 1459, 353, 430, 2178, 457, 406, 1978, 462, 12628, 262, 1063, 515, 352, 734, 26371, 22938, 9065, 977, 391, 199, 9983, 14209, 1186, 491, 325, 886, 4312, 603, 31177, 1256, 14493, 1814, 356, 986, 11143, 4716, 270, 576, 268, 2046, 41, 199, 21612, 35279, 2814, 1045, 12717, 604, 10185, 3978, 851, 864, 11303, 2784, 293, 493, 27340, 599, 3417, 1032, 397, 199, 626, 440, 4236, 260, 956, 880, 479, 10085, 334, 1169, 606, 458, 1552, 19312, 322, 500, 2997, 49307, 2079, 10351, 602, 812, 199, 26271, 924, 497, 5983, 49112, 1294, 471, 986, 296, 2292, 12148, 263, 621, 288, 2020, 20762, 340, 815, 354, 735, 368, 2094, 199, 6862, 350, 1064, 1056, 30215, 838, 478, 12670, 1110, 299, 2808, 287, 2536, 266, 55, 1934, 45738, 2287, 1783, 24551, 316, 199, 432, 2374, 1169, 15249, 905, 293, 2107, 47132, 29884, 401, 2339, 3744, 1237, 12233, 753, 409, 2603, 4479, 345, 540, 380, 199, 317, 504, 23122, 24601, 1143, 609, 459, 3677, 343, 1142, 279, 543, 1449, 519, 13536, 985, 3540, 431, 314, 5135, 6579, 199, 9969, 393, 972, 515, 4687, 16456, 11077, 1996, 18107, 11366, 295, 707, 394, 355, 580, 425, 430, 978, 3218, 516, 199, 602, 335, 43038, 2420, 1550, 4717, 479, 342, 747, 754, 313, 2068, 433, 963, 407, 927, 9857, 6734, 432, 2637, 32899, 199, 1962, 1923, 298, 422, 493, 7728, 1034, 12050, 3353, 15108, 2013, 17730, 1277, 1160, 264, 541, 30529, 812, 324, 31518, 199, 264, 1974, 18827, 2092, 331, 435, 21684, 1692, 2039, 48, 3865, 902, 411, 416, 356, 1420, 16945, 437, 785, 770, 1299, 314, 199, 4308, 268, 1236, 3700, 2135, 761, 21249, 675, 288, 655, 261, 2605, 1126, 592, 314, 713, 390, 933, 27644, 4416, 720, 199, 4492, 6013, 9320, 541, 344, 898, 257, 575, 19720, 1347, 352, 21400, 364, 1187, 15154, 322, 1419, 32515, 32549, 1359, 199, 39, 7877, 388, 18185, 263, 38456, 1402, 270, 1357, 13147, 815, 518, 2208, 14349, 21140, 968, 8322, 5341, 10952, 50, 199, 1835, 322, 866, 7034, 839, 348, 55, 1620, 41612, 590, 5337, 474, 364, 3865, 1437, 522, 391, 666, 269, 638, 343, 510, 4546 ]

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

[ 48, 199, 619, 441, 15338, 10547, 669, 6561, 2379, 9373, 646, 1296, 947, 318, 16656, 1618, 269, 549, 441, 474, 30123, 433, 281, 199, 2563, 355, 568, 294, 199, 0, 199, 38922, 4000, 2257, 481, 16433, 338, 783, 265, 642, 416, 997, 439, 1695, 2804, 4191, 2111, 1027, 314, 1546, 294, 5404, 199, 1235, 422, 969, 474, 13859, 357, 1804, 422, 409, 718, 4721, 32628, 21792, 445, 2101, 479, 2744, 4551, 552, 1841, 11466, 199, 1519, 9247, 1036, 382, 2157, 411, 39349, 761, 452, 468, 1750, 483, 296, 774, 407, 1964, 2287, 17530, 3399, 378, 39004, 1744, 199, 41880, 11197, 11301, 369, 457, 5766, 12030, 857, 919, 2175, 887, 381, 2549, 48, 1141, 17699, 437, 14603, 476, 625, 199, 593, 412, 9460, 609, 315, 21493, 325, 1125, 820, 739, 582, 375, 3844, 526, 15307, 21387, 1379, 503, 21462, 371, 199, 290, 1978, 1104, 2671, 275, 688, 498, 328, 876, 18196, 10271, 459, 1078, 19185, 6540, 290, 2307, 1725, 479, 4825, 199, 32546, 33690, 376, 2423, 356, 926, 1079, 537, 784, 1061, 570, 12955, 537, 25779, 485, 389, 596, 412, 4837, 704, 33, 199, 1108, 8480, 722, 1039, 2239, 322, 7925, 2366, 715, 317, 1286, 1596, 19774, 2602, 710, 16921, 386, 360, 5240, 503, 46, 199, 11387, 474, 18593, 7481, 462, 6510, 36420, 1204, 19320, 291, 1900, 333, 6756, 530, 45374, 13927, 1037, 314, 450, 547, 199, 44, 7034, 343, 532, 440, 1693, 998, 1133, 3845, 3296, 41967, 1795, 613, 1357, 21584, 529, 421, 1072, 40244, 4436, 54, 199, 41416, 1296, 483, 667, 1207, 2603, 3478, 316, 1236, 24700, 5133, 8671, 4002, 19445, 16630, 1424, 757, 3874, 57, 199, 40, 1934, 413, 1177, 517, 3896, 29624, 5319, 498, 1297, 267, 1548, 261, 2856, 43994, 351, 8721, 435, 47027, 421, 6875, 199, 2240, 547, 34634, 508, 1141, 34008, 3578, 296, 1746, 17213, 510, 773, 320, 2677, 1087, 602, 1016, 5013, 554, 768, 1707, 199, 1362, 1346, 590, 481, 7466, 26987, 2190, 425, 330, 465, 645, 18892, 860, 799, 5228, 877, 3269, 352, 6987, 50248, 199, 14168, 660, 316, 2663, 281, 597, 312, 11305, 1036, 13306, 2134, 469, 1136, 32079, 3922, 392, 341, 29609, 1172, 493, 10510, 476, 199, 10118, 410, 36309, 571, 5535, 34864, 425, 34572, 663, 5066, 567, 8047, 2189, 5236, 1727, 2120, 453, 1812, 7215, 199, 1508, 16961, 537, 581, 712, 39010, 478, 1308, 28935, 666, 537, 1923, 6230, 547, 368, 6762, 414, 34105, 758, 3299, 407, 199, 833, 15228, 11956, 354, 1975, 397, 1126, 38532, 1621, 8024, 466, 10660, 368, 415, 2009, 5985, 1390, 2738, 1557, 36, 4591, 199, 290, 1059, 272, 4244, 13042, 5476, 5100, 1673, 8854, 1425, 6647, 324, 3346, 1774, 15470, 276, 721, 292, 419, 314, 541, 432, 3066, 199, 12305, 370, 666, 57, 199, 0, 199, 852, 10647, 1578, 495, 12853, 790, 673, 677, 276, 5189, 46860, 4678, 353, 1541, 594, 13994, 2058, 582, 301, 436, 199, 672, 290, 1022, 4725, 1393, 665, 639, 590, 1483, 369, 1866, 554, 9265, 331, 1578, 495, 12853, 790, 504, 677, 5798, 199, 37, 5411, 870, 270, 3698, 7059, 1629, 283, 1909, 799, 301, 1260, 15286, 1022, 4725, 1548, 1144, 639 ]

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

[ 590, 1410, 369, 199, 1866, 533, 9265, 407, 1578, 495, 5771, 790, 504, 677, 6327, 940, 950, 4678, 352, 1249, 606, 13994, 1909, 799, 199, 301, 1260, 15286, 1022, 4725, 919, 1144, 639, 590, 1084, 369, 1866, 533, 9265, 407, 1578, 495, 5771, 790, 673, 268, 199, 13847, 431, 5411, 870, 10105, 1178, 342, 656, 294, 4026, 24471, 301, 436, 692, 290, 1022, 4600, 1966, 1144, 639, 590, 43, 199, 6523, 1866, 42008, 10647, 1578, 495, 3928, 790, 551, 677, 9528, 5411, 870, 347, 2846, 1541, 594, 13994, 436, 199, 21438, 301, 4232, 1439, 1022, 15236, 1478, 811, 15180, 741, 6523, 23351, 1145, 5617, 283, 1035, 27262, 790, 33, 199, 348, 677, 276, 5189, 1546, 480, 489, 352, 1417, 24211, 5042, 42877, 301, 436, 672, 290, 1022, 624, 9732, 1077, 297, 199, 261, 2603, 11743, 342, 42008, 10647, 1578, 7116, 5454, 947, 391, 6559, 8368, 4476, 419, 5704, 1358, 585, 290, 199, 4811, 278, 2238, 269, 692, 2457, 19505, 1211, 11829, 382, 422, 9758, 2299, 845, 468, 3174, 488, 25566, 341, 9667, 199, 44, 502, 3034, 1079, 40200, 1166, 816, 313, 1080, 3880, 468, 938, 23878, 16304, 15455, 764, 271, 1356, 443, 10356, 199, 399, 1404, 371, 1664, 283, 1111, 279, 7104, 289, 1267, 299, 1087, 396, 27623, 13108, 1618, 3215, 30987, 8524, 567, 2286, 199, 6906, 299, 1344, 3280, 1303, 16144, 650, 3629, 19270, 1321, 814, 611, 313, 1542, 967, 1298, 268, 2379, 15542, 1116, 199, 37, 446, 19208, 411, 457, 14104, 293, 804, 7842, 2614, 9623, 1297, 554, 353, 1675, 278, 13437, 339, 6677, 484, 917, 297, 199, 37, 2618, 464, 330, 6515, 455, 325, 1788, 1090, 30538, 4878, 5098, 6211, 416, 350, 840, 1311, 2739, 41315, 272, 648, 199, 11958, 284, 25893, 850, 281, 852, 1336, 992, 405, 9674, 1497, 8639, 13165, 560, 1082, 30100, 896, 271, 848, 199, 48010, 509, 4106, 673, 272, 679, 18308, 2507, 4715, 43622, 432, 17854, 22460, 2063, 8329, 400, 2218, 367, 2328, 199, 8688, 2015, 360, 1111, 312, 2728, 1040, 1513, 1981, 998, 394, 981, 674, 853, 1535, 31386, 10642, 14990, 1119, 1633, 199, 43, 199, 0, 199, 419, 12906, 982, 513, 6351, 513, 600, 11465, 490, 6002, 690, 374, 813, 599, 4477, 2763, 283, 705, 667, 10887, 3328, 199, 481, 1202, 439, 11235, 8272, 1153, 318, 1792, 1260, 5053, 705, 330, 1924, 265, 447, 3267, 12844, 335, 1765, 656, 7594, 199, 340, 896, 830, 331, 578, 32127, 850, 352, 11204, 1097, 48, 1199, 3870, 4174, 343, 1563, 7500, 21428, 7409, 337, 199, 45009, 920, 24024, 463, 352, 339, 2178, 374, 50222, 11996, 29474, 8506, 28312, 2817, 38145, 1412, 350, 813, 4531, 199, 48, 936, 263, 1056, 263, 1573, 7728, 1012, 17517, 382, 956, 321, 558, 332, 2076, 1274, 512, 875, 393, 371, 34404, 22555, 282, 199, 44, 16338, 1447, 1726, 416, 26012, 3826, 7395, 11841, 10777, 630, 370, 13021, 42992, 5878, 25572, 5120, 48, 1012, 199, 1160, 1420, 10251, 2625, 8577, 472, 1886, 326, 1046, 22620, 371, 29475, 7476, 537, 11352, 7176, 284, 971, 301, 199, 331, 30700, 1200, 5929, 317, 2412, 426, 1603, 1657, 4457, 957, 841, 6326, 500, 1384, 391 ]

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

[ 654, 340, 1666, 450, 1307, 199, 1369, 634, 371, 869, 362, 9048, 1271, 331, 6375, 331, 339, 9161, 876, 2239, 419, 673, 1810, 12501, 400, 519, 8620, 199, 9274, 3504, 499, 7568, 38002, 496, 1812, 277, 1407, 16284, 1026, 784, 23215, 382, 7041, 38329, 3916, 1521, 389, 199, 5199, 29973, 9331, 331, 1420, 369, 1060, 3402, 13326, 327, 2595, 417, 325, 2130, 356, 802, 274, 12909, 44286, 1545, 199, 44, 969, 383, 2508, 633, 2567, 19593, 677, 2064, 13272, 582, 336, 1427, 24388, 981, 405, 28507, 419, 2297, 1167, 534, 199, 14579, 16700, 2121, 347, 1842, 3938, 1930, 280, 985, 3254, 863, 414, 1398, 1137, 1137, 9378, 937, 26236, 655, 1045, 199, 14792, 4064, 278, 1075, 643, 24332, 3326, 605, 393, 454, 7344, 367, 1244, 57, 2724, 481, 341, 4417, 318, 7104, 199, 23693, 2091, 3532, 567, 280, 1256, 282, 949, 361, 435, 1653, 406, 34690, 11411, 378, 327, 1794, 985, 282, 1281, 34368, 199, 6111, 1814, 406, 1203, 278, 2130, 8290, 586, 8081, 8081, 908, 524, 339, 419, 28246, 2727, 12584, 325, 476, 3636, 199, 1467, 2767, 389, 20630, 600, 1592, 356, 2071, 2280, 12313, 2767, 389, 21616, 4272, 1148, 558, 2810, 346, 1535, 356, 199, 318, 2767, 389, 419, 1062, 8718, 281, 834, 1191, 3860, 595, 2644, 1492, 345, 3850, 21452, 290, 2563, 43599, 1163, 356, 45, 199, 500, 20340, 416, 1130, 324, 2237, 25286, 49193, 6681, 2484, 401, 9356, 1786, 435, 590, 469, 348, 470, 2515, 474, 506, 5248, 33, 199, 2636, 2134, 3256, 199, 0, 199, 419, 10004, 704, 1915, 6003, 1119, 367, 1194, 448, 323, 16825, 49191, 5159, 874, 48, 933, 7445, 1270, 905, 47746, 199, 330, 515, 368, 7847, 702, 265, 1141, 11153, 853, 597, 10941, 978, 2015, 768, 17924, 1371, 3257, 379, 757, 426, 999, 199, 10074, 1068, 283, 960, 1073, 344, 432, 5226, 3852, 29560, 343, 3284, 744, 327, 1852, 7671, 263, 1212, 17881, 5263, 199, 51, 37687, 324, 1482, 521, 18045, 392, 10127, 281, 999, 2692, 1461, 38529, 15440, 317, 1405, 497, 35710, 10363, 2061, 199, 578, 12552, 1435, 38579, 1204, 9680, 594, 268, 1482, 439, 4058, 646, 262, 1079, 38399, 943, 429, 3233, 4059, 578, 199, 405, 958, 586, 35036, 3139, 4446, 473, 1253, 1015, 2516, 290, 855, 855, 1321, 456, 19191, 345, 26319, 322, 594, 8925, 199, 1251, 6717, 317, 1338, 333, 1483, 273, 497, 7764, 1903, 1168, 337, 497, 730, 277, 1922, 881, 40761, 317, 423, 31282, 864, 199, 1205, 325, 5329, 5074, 468, 385, 963, 2454, 9609, 1168, 282, 16454, 409, 8531, 29576, 816, 371, 2696, 1838, 704, 199, 1339, 413, 31117, 11749, 678, 374, 2061, 9592, 1801, 49, 1338, 28056, 2325, 31282, 1249, 1743, 7614, 313, 1012, 323, 199, 712, 5629, 3456, 23797, 5501, 1396, 13608, 7096, 265, 1257, 419, 8982, 1320, 456, 4121, 2126, 14457, 335, 1109, 199, 350, 830, 10078, 1168, 4318, 49, 950, 398, 1012, 645, 314, 1438, 350, 21108, 699, 317, 17640, 342, 32567, 5874, 20668, 199, 393, 849, 990, 558, 3195, 38569, 1709, 371, 1611, 11874, 665, 288, 4625, 295, 1768, 40, 1047, 16439, 9973, 28048, 199, 664, 1189, 2532, 327, 486, 332 ]

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

[ 16287, 3495, 828, 317, 1449, 13076, 6369, 1426, 1147, 9453, 2178, 2538, 371, 23649, 10412, 268, 851, 2457, 501, 199, 400, 1589, 413, 12836, 736, 497, 563, 6346, 1111, 5250, 20055, 4311, 27138, 23518, 20917, 16946, 3218, 916, 409, 199, 379, 354, 17003, 9112, 457, 646, 762, 27363, 969, 5341, 6281, 45710, 848, 21163, 319, 6679, 1499, 407, 1562, 199, 11211, 3531, 346, 1483, 276, 927, 559, 7540, 944, 2086, 299, 607, 1155, 439, 24931, 28268, 20290, 1117, 43250, 199, 388, 2024, 500, 828, 11599, 401, 12550, 323, 490, 8073, 458, 12088, 35366, 759, 633, 418, 386, 420, 44365, 519, 45, 199, 14256, 2228, 26353, 4165, 342, 558, 2787, 2507, 634, 433, 1918, 15029, 337, 1657, 9267, 18233, 2919, 266, 590, 355, 455, 263, 199, 1723, 17152, 1532, 265, 2152, 2740, 397, 1291, 414, 39409, 2539, 295, 700, 294, 30319, 458, 887, 381, 4553, 491, 1632, 199, 414, 17588, 335, 822, 2615, 346, 431, 814, 17936, 1754, 754, 5381, 457, 16117, 575, 28043, 424, 6524, 12113, 422, 45, 199, 16393, 2236, 1195, 6658, 714, 7220, 313, 21584, 364, 945, 2767, 335, 776, 298, 783, 2692, 6597, 442, 27135, 199, 1716, 19186, 792, 358, 1092, 29281, 5590, 15349, 285, 27390, 586, 38611, 920, 264, 2328, 422, 1198, 2337, 3946, 199, 640, 338, 512, 1802, 403, 562, 8590, 4260, 16997, 611, 675, 261, 3926, 908, 43489, 527, 634, 837, 8072, 366, 199, 594, 17814, 36191, 1303, 605, 299, 3040, 2453, 18724, 764, 340, 37331, 25726, 43660, 2613, 791, 525, 867, 414, 199, 747, 2966, 38299, 6622, 14049, 639, 755, 276, 490, 10078, 3058, 12744, 598, 18132, 31269, 693, 275, 1221, 199, 270, 1369, 20471, 21922, 28141, 935, 32103, 848, 3897, 551, 619, 317, 1607, 268, 1274, 282, 820, 3508, 278, 3920, 41, 199, 3859, 378, 424, 578, 294, 11272, 267, 562, 13567, 1217, 1043, 31340, 2861, 331, 657, 478, 1490, 348, 5473, 37733, 199, 546, 5494, 318, 4265, 1155, 1502, 979, 745, 322, 940, 266, 8522, 907, 2297, 3049, 669, 435, 13882, 21609, 2631, 199, 1819, 457, 4641, 272, 472, 28703, 483, 2763, 9626, 408, 3373, 199, 0, 199, 1261, 2331, 346, 1494, 509, 381, 959, 495, 4420, 546, 2729, 296, 2490, 19545, 3582, 47215, 1183, 4805, 34534, 436, 199, 37, 750, 474, 5417, 729, 264, 1207, 8735, 958, 387, 759, 25788, 5300, 754, 8600, 26785, 284, 1328, 28649, 1049, 199, 1508, 1430, 16918, 282, 1382, 41521, 285, 4292, 1118, 537, 30348, 4972, 261, 1325, 714, 4929, 17705, 347, 4055, 199, 3102, 272, 3428, 277, 25270, 827, 801, 356, 1253, 697, 292, 382, 1297, 47887, 404, 317, 17459, 4332, 4960, 294, 1886, 199, 297, 5613, 296, 5677, 6860, 2192, 10241, 55, 918, 356, 12333, 704, 21470, 6747, 521, 7568, 331, 818, 9215, 469, 199, 1141, 23314, 837, 4487, 441, 1589, 591, 3160, 13733, 469, 2629, 6782, 389, 423, 794, 372, 39483, 6881, 967, 15414, 199, 554, 664, 334, 497, 1145, 22838, 2139, 1456, 427, 37193, 822, 282, 454, 1332, 14069, 1097, 9132, 985, 12105, 12363, 199, 12868, 2032, 9202, 564, 403, 12246, 49056, 344, 1563, 1060, 36, 9658, 3214, 886, 373, 2780, 1588, 392 ]

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

[ 716, 23775, 199, 537, 3009, 464, 1328, 27998, 4558, 1049, 10079, 371, 7698, 1286, 3766, 334, 682, 10117, 28260, 564, 319, 10705, 277, 199, 1220, 291, 1365, 1714, 875, 49105, 9859, 17493, 822, 631, 5632, 19344, 9698, 16877, 8309, 1335, 334, 972, 49, 199, 1261, 11280, 1741, 8300, 364, 6718, 837, 989, 819, 2904, 684, 49329, 2122, 3225, 1153, 18980, 1199, 4995, 199, 26136, 350, 459, 869, 373, 541, 5795, 367, 12862, 471, 9658, 340, 994, 452, 2512, 19387, 2897, 356, 599, 25961, 1305, 199, 1782, 1020, 1281, 269, 695, 369, 1564, 1278, 490, 300, 2780, 5147, 985, 12121, 31949, 2936, 1839, 265, 708, 296, 199, 48, 645, 9620, 686, 2432, 22843, 1951, 293, 4221, 4641, 6215, 762, 1364, 2078, 9308, 337, 1788, 2580, 396, 7518, 199, 10268, 1658, 2766, 1200, 363, 1280, 8387, 523, 4887, 1851, 317, 2102, 5655, 583, 5448, 270, 6097, 13716, 1667, 43, 199, 13133, 1558, 8924, 707, 426, 41088, 433, 1364, 498, 613, 351, 4677, 578, 369, 28961, 259, 2265, 27028, 642, 461, 562, 199, 441, 598, 31282, 564, 521, 3443, 2378, 782, 345, 777, 5224, 345, 15255, 378, 1178, 351, 40097, 1046, 413, 1623, 522, 48, 199, 12842, 939, 473, 416, 1701, 2230, 596, 259, 1141, 22141, 1346, 1682, 8942, 538, 1655, 11393, 262, 1418, 23859, 20130, 199, 39, 10257, 436, 4501, 475, 4880, 329, 1231, 2037, 422, 558, 36977, 2091, 4136, 1000, 14251, 1189, 609, 537, 328, 423, 199, 33735, 882, 329, 199, 0, 199, 385, 27537, 859, 301, 6102, 39325, 1812, 18681, 970, 1867, 364, 7069, 363, 521, 8484, 927, 503, 512, 6092, 638, 199, 16683, 2901, 12096, 25383, 257, 2600, 340, 2888, 6458, 3732, 5582, 1414, 372, 2287, 10114, 3920, 43224, 2436, 3675, 199, 481, 667, 28496, 411, 4038, 15084, 604, 692, 7234, 2081, 558, 352, 1122, 317, 2399, 43654, 884, 14475, 418, 2265, 38, 199, 15782, 1346, 3297, 405, 11500, 984, 446, 3172, 2419, 280, 1441, 2444, 403, 951, 3001, 2461, 6514, 635, 21989, 54, 199, 16823, 570, 3365, 44216, 7009, 4446, 11038, 33751, 976, 5919, 2663, 387, 35, 1567, 808, 5999, 522, 377, 339, 199, 3051, 279, 782, 1947, 703, 280, 16748, 485, 474, 1015, 713, 275, 2984, 7151, 882, 570, 6409, 522, 282, 669, 290, 1180, 199, 1171, 16730, 2037, 33251, 443, 11473, 3214, 8334, 411, 3959, 394, 545, 2421, 16765, 290, 1026, 1781, 450, 8252, 448, 199, 736, 423, 8446, 1527, 2047, 361, 5738, 2498, 613, 3585, 3215, 980, 365, 1124, 21903, 327, 2937, 262, 20696, 3713, 356, 199, 2270, 319, 1569, 995, 6689, 318, 2905, 2320, 275, 1131, 15376, 721, 533, 3212, 22509, 2145, 428, 1870, 37958, 24324, 199, 586, 315, 21469, 12048, 1513, 1099, 1785, 10153, 1099, 2155, 36006, 919, 405, 20212, 41388, 1448, 286, 834, 349, 377, 199, 1799, 20756, 1140, 297, 14683, 3381, 2666, 12529, 6752, 1987, 465, 4125, 598, 4683, 428, 327, 783, 293, 1311, 261, 199, 710, 351, 28231, 659, 14798, 4662, 2076, 1205, 1300, 23183, 275, 442, 1116, 6295, 257, 2289, 393, 503, 472, 567, 199, 567, 292, 3348, 3502, 842, 483, 3524, 16246, 332, 576, 548, 1003, 10651, 608, 520, 13735 ]

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

[ 1823, 1201, 480, 278, 1423, 199, 11773, 1468, 575, 12582, 3771, 378, 5081, 405, 12850, 2142, 282, 2523, 442, 350, 458, 32515, 486, 23913, 19854, 199, 14993, 2191, 16144, 503, 2194, 47752, 15655, 1947, 334, 2791, 614, 14179, 373, 1449, 1418, 313, 695, 1644, 8826, 199, 970, 696, 389, 560, 5752, 809, 463, 736, 16647, 278, 899, 376, 5552, 1799, 1385, 314, 533, 1722, 1388, 283, 17711, 199, 750, 19068, 2060, 6477, 30691, 911, 274, 13098, 751, 4259, 280, 848, 567, 342, 4509, 525, 1741, 21227, 385, 440, 199, 39, 716, 36886, 952, 4281, 3082, 11066, 2477, 612, 1399, 283, 1210, 530, 327, 558, 3365, 17015, 15768, 396, 1269, 40, 199, 1372, 992, 292, 727, 274, 2007, 1050, 361, 1865, 458, 6966, 7678, 6295, 519, 739, 299, 530, 1002, 662, 335, 3810, 259, 199, 565, 26607, 1000, 199, 0, 199, 21759, 331, 1130, 325, 691, 298, 1152, 21938, 333, 677, 35259, 294, 1884, 1241, 31488, 1723, 15672, 15885, 47200, 199, 276, 1026, 483, 517, 909, 1241, 11883, 1071, 683, 29143, 575, 280, 1361, 541, 2940, 325, 395, 14947, 5173, 286, 1937, 345, 199, 25497, 1067, 781, 927, 913, 509, 614, 275, 580, 15536, 1505, 338, 36885, 489, 18626, 1295, 734, 873, 495, 12592, 199, 550, 1888, 295, 15994, 6541, 2321, 2522, 699, 3069, 2522, 9724, 545, 611, 3251, 1150, 4461, 2326, 199, 831, 399, 19998, 3337, 335, 1840, 997, 371, 789, 282, 975, 24052, 5132, 2974, 503, 855, 3676, 16955, 460, 199, 5100, 1615, 1499, 34575, 1362, 47597, 4151, 316, 783, 285, 1083, 32442, 4427, 671, 259, 941, 3650, 433, 420, 49, 199, 13486, 2913, 540, 432, 2670, 36735, 8981, 2393, 7905, 454, 4352, 33192, 34587, 1312, 294, 475, 3918, 23627, 52, 199, 409, 6764, 322, 539, 49656, 393, 16576, 417, 5485, 362, 1385, 3138, 5235, 21828, 1980, 590, 1030, 375, 742, 9001, 52, 199, 825, 2243, 833, 327, 2180, 1930, 272, 2998, 612, 552, 628, 2161, 4016, 504, 1689, 5067, 328, 999, 365, 12530, 345, 8754, 199, 1519, 5030, 452, 1090, 3626, 604, 3787, 1355, 11445, 430, 2454, 15387, 5932, 313, 2682, 1230, 33892, 1146, 459, 1412, 199, 497, 19988, 2427, 421, 11193, 452, 940, 301, 534, 5834, 4188, 3579, 356, 511, 470, 1015, 891, 6070, 17735, 4957, 378, 199, 634, 831, 380, 1559, 313, 1644, 389, 1499, 47341, 392, 325, 1010, 403, 1180, 382, 2613, 1093, 258, 662, 301, 538, 2457, 1845, 50, 199, 12500, 320, 471, 15553, 719, 7645, 8198, 548, 1824, 2466, 20625, 1394, 319, 2324, 1406, 22543, 3153, 41003, 1550, 291, 199, 39, 1124, 430, 409, 4378, 1078, 341, 17197, 468, 16478, 3178, 471, 19801, 350, 2315, 24488, 468, 13810, 563, 6658, 46, 199, 513, 361, 1600, 35606, 1494, 677, 841, 356, 2435, 1793, 1104, 261, 1168, 551, 5074, 17694, 693, 16011, 1099, 300, 199, 655, 3393, 340, 13347, 2481, 2556, 696, 24107, 912, 638, 330, 13078, 335, 2462, 360, 761, 3323, 294, 3964, 698, 33873, 199, 275, 924, 2301, 199, 0, 199, 339, 13125, 1187, 334, 1218, 418, 2354, 412, 549, 263, 29075, 3143, 597, 676, 322, 7578, 335, 2005, 1160, 318, 850, 1357, 199, 25162 ]

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

[ 31306, 363, 1171, 10653, 2264, 598, 2651, 343, 2477, 1059, 1623, 5866, 335, 1375, 466, 13901, 7466, 924, 278, 199, 1281, 2960, 35957, 609, 429, 2565, 437, 3813, 495, 2274, 44075, 745, 516, 6969, 15894, 315, 503, 1944, 281, 4974, 199, 6537, 8913, 793, 283, 4366, 13967, 346, 1977, 426, 1460, 417, 7228, 16411, 12434, 1521, 24216, 13901, 350, 5530, 199, 291, 709, 356, 359, 2176, 271, 597, 38162, 4198, 14148, 622, 3295, 691, 1956, 350, 867, 581, 537, 301, 17894, 591, 257, 199, 19169, 21475, 722, 426, 573, 3996, 1051, 599, 46128, 17460, 703, 16339, 499, 23698, 2103, 834, 496, 8797, 41, 2521, 199, 514, 283, 37657, 412, 5896, 341, 1316, 449, 3670, 30172, 404, 11279, 8257, 691, 718, 1011, 4900, 846, 12942, 3951, 199, 44, 2008, 271, 1001, 1875, 435, 389, 546, 2666, 21133, 3325, 727, 3780, 37782, 2536, 379, 578, 11513, 4109, 7171, 199, 23908, 1893, 5720, 551, 33246, 3304, 23985, 544, 5944, 503, 1431, 878, 415, 45998, 27773, 22131, 744, 651, 271, 199, 44, 4640, 41, 2955, 257, 967, 50173, 814, 342, 1818, 778, 33019, 435, 542, 273, 516, 4394, 3377, 297, 1326, 6433, 278, 199, 418, 14084, 36773, 2030, 1167, 2237, 279, 2964, 321, 941, 496, 9975, 403, 630, 260, 4189, 271, 1688, 795, 843, 472, 199, 16875, 1573, 1309, 2249, 897, 1612, 3799, 1295, 2417, 554, 291, 1471, 13089, 1462, 1088, 43616, 1801, 57, 883, 951, 199, 44, 1249, 3166, 350, 761, 331, 9684, 597, 1598, 30840, 1499, 38445, 4360, 522, 1118, 372, 5888, 604, 23920, 17360, 199, 1295, 379, 1746, 1349, 800, 43729, 40803, 20068, 1680, 651, 346, 284, 1569, 21264, 1088, 1048, 300, 901, 338, 437, 412, 199, 1409, 1243, 1801, 1078, 295, 5749, 4620, 371, 2479, 536, 939, 4660, 484, 625, 13234, 799, 474, 1062, 760, 332, 6753, 199, 10857, 343, 32800, 968, 1784, 377, 1625, 1200, 322, 631, 325, 2582, 496, 708, 20867, 10069, 1557, 1421, 445, 634, 478, 199, 1052, 7429, 9855, 41261, 12343, 18550, 42176, 14377, 9943, 430, 923, 341, 1909, 2011, 24320, 3884, 2584, 199, 381, 453, 929, 295, 651, 401, 4091, 10029, 372, 839, 2795, 2584, 358, 21572, 981, 428, 27353, 690, 369, 4166, 269, 199, 319, 590, 40188, 1341, 2112, 24920, 261, 1731, 300, 663, 369, 4940, 271, 678, 416, 6232, 15738, 1027, 1466, 1538, 395, 490, 199, 298, 1538, 861, 45, 199, 0, 199, 382, 1949, 11662, 389, 7157, 301, 656, 265, 1850, 514, 5527, 597, 690, 2676, 732, 1656, 318, 375, 1547, 1313, 318, 2453, 199, 321, 791, 15461, 274, 768, 319, 1718, 312, 940, 1475, 7030, 1683, 586, 7532, 4942, 21801, 8361, 8474, 1864, 199, 370, 24237, 28315, 545, 20193, 447, 2251, 266, 12439, 10890, 2711, 451, 604, 381, 41091, 2510, 506, 2426, 856, 199, 1508, 667, 36573, 523, 1349, 745, 1477, 38, 2212, 15960, 369, 1670, 3911, 1102, 14405, 4083, 570, 44280, 9231, 199, 21100, 10715, 315, 724, 554, 1144, 530, 699, 1357, 605, 43096, 724, 650, 292, 16088, 423, 48279, 6214, 546, 9186, 199, 31770, 737, 2665, 373, 1908, 267, 1138, 37797, 49794, 14474, 277, 947, 351, 31628, 2110, 12316, 609, 436 ]

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

[ 199, 313, 2620, 323, 576, 8159, 1335, 6878, 6295, 3326, 27823, 35, 5444, 1113, 986, 4934, 695, 14062, 645, 933, 199, 328, 11368, 1127, 336, 423, 2203, 312, 8921, 3087, 9987, 674, 361, 982, 399, 14707, 778, 358, 1552, 314, 997, 1037, 199, 9580, 16077, 631, 4564, 47891, 21611, 365, 3201, 538, 752, 293, 3155, 377, 1027, 41084, 548, 22709, 2912, 33, 199, 5789, 600, 1543, 605, 355, 1616, 405, 2511, 434, 2289, 353, 603, 282, 869, 290, 6331, 4186, 1186, 1515, 464, 11329, 199, 51, 8361, 8265, 400, 686, 27016, 801, 433, 26157, 10292, 644, 6751, 2467, 48781, 3567, 9785, 5581, 10603, 199, 427, 5844, 263, 1050, 297, 2958, 11177, 7741, 274, 1574, 428, 362, 1507, 341, 2211, 272, 1996, 265, 459, 754, 7047, 443, 199, 5472, 360, 846, 4311, 9392, 4794, 313, 2015, 746, 899, 312, 5506, 2536, 667, 1037, 275, 3225, 334, 433, 420, 199, 479, 339, 740, 38735, 780, 21899, 397, 38823, 1372, 501, 23041, 6243, 515, 597, 278, 1610, 364, 925, 27438, 11031, 199, 1492, 335, 564, 282, 814, 369, 1797, 661, 21960, 12234, 2262, 722, 345, 5339, 439, 430, 546, 12913, 30650, 5911, 33, 199, 285, 2286, 702, 25504, 9315, 686, 10112, 5085, 7812, 371, 764, 1839, 582, 23631, 400, 1300, 24456, 43464, 199, 369, 687, 527, 1753, 2182, 619, 12898, 9619, 1199, 714, 3039, 18223, 1245, 345, 5607, 13144, 1062, 6081, 55, 199, 1564, 2792, 444, 2362, 13714, 1083, 482, 13449, 3602, 406, 4676, 7640, 38772, 4006, 558, 287, 1050, 369, 881, 37799, 199, 5142, 1610, 891, 488, 584, 408, 1656, 15268, 730, 7905, 13428, 9009, 357, 7086, 2579, 22026, 401, 586, 260, 950, 199, 22711, 409, 807, 199, 0, 199, 382, 477, 2902, 50009, 2325, 366, 355, 20345, 1854, 808, 33916, 3114, 2145, 656, 3761, 1314, 330, 2032, 6299, 26556, 199, 400, 7993, 1156, 417, 2327, 1085, 414, 391, 1825, 414, 33179, 934, 450, 945, 1082, 393, 385, 18591, 277, 1184, 353, 12731, 199, 16552, 15310, 12917, 12625, 264, 8259, 760, 1150, 17104, 878, 3835, 8645, 318, 27072, 1020, 970, 2581, 2471, 199, 9957, 23257, 398, 1874, 358, 1392, 266, 592, 461, 32415, 1116, 607, 261, 10671, 422, 1764, 406, 9172, 1134, 11400, 1706, 199, 39, 18686, 1220, 26938, 1126, 37794, 14978, 1488, 371, 359, 540, 325, 1334, 2421, 6813, 26741, 536, 6754, 483, 10362, 257, 199, 19975, 775, 587, 295, 2027, 417, 283, 1834, 740, 30712, 1895, 563, 378, 24109, 747, 42782, 563, 1934, 601, 35, 1919, 199, 473, 45856, 29210, 2839, 298, 440, 1701, 281, 4411, 42070, 3741, 701, 1341, 2933, 443, 1143, 285, 1443, 291, 2676, 363, 779, 199, 9178, 11567, 1768, 33017, 25749, 1155, 1061, 293, 1043, 1398, 2160, 17860, 681, 1381, 29566, 42102, 2741, 884, 199, 330, 14879, 1136, 656, 685, 279, 9095, 663, 286, 17476, 3743, 292, 4966, 3737, 1472, 466, 298, 877, 722, 17068, 773, 199, 20934, 11837, 521, 572, 2833, 436, 6212, 361, 760, 678, 6270, 329, 1072, 20552, 2146, 487, 1800, 387, 418, 7060, 47941, 54, 199, 9986, 334, 8852, 270, 1845, 2553, 28309, 18403, 321, 11688, 1234, 10122, 316, 955, 318, 366, 28175, 2423 ]

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

[ 6067, 479, 199, 722, 340, 3915, 818, 17543, 3410, 697, 48, 1785, 265, 4097, 4511, 2504, 288, 1700, 3145, 26932, 30514, 562, 400, 199, 8538, 496, 8220, 381, 6876, 44673, 496, 15591, 2682, 458, 2084, 278, 16062, 30360, 451, 340, 947, 1867, 6169, 1140, 33, 199, 484, 8389, 583, 317, 421, 585, 423, 1986, 292, 24861, 474, 1550, 299, 49488, 972, 264, 1693, 1130, 479, 21518, 595, 356, 594, 415, 199, 2025, 336, 20925, 44448, 1402, 2491, 295, 696, 16450, 320, 432, 2396, 15640, 3543, 792, 479, 364, 7530, 314, 2202, 199, 421, 439, 808, 354, 43903, 2023, 316, 2960, 3709, 36121, 21722, 1205, 19819, 397, 1253, 1782, 686, 392, 5677, 1162, 199, 565, 1722, 312, 34449, 845, 4116, 2768, 2014, 560, 483, 34240, 30474, 653, 692, 46935, 642, 369, 442, 1020, 429, 199, 508, 261, 563, 548, 381, 7067, 470, 301, 3316, 21569, 354, 44812, 37548, 4538, 292, 603, 283, 787, 7728, 750, 33, 199, 7376, 5576, 690, 3365, 28078, 7597, 5077, 263, 504, 6683, 974, 284, 4257, 904, 8104, 298, 5815, 852, 199, 2298, 416, 10196, 199, 0, 199, 1145, 258, 642, 356, 5760, 521, 350, 393, 373, 758, 46160, 14951, 930, 327, 14384, 387, 1592, 762, 576, 10465, 2047, 268, 199, 966, 9417, 1030, 441, 2215, 27887, 5859, 8115, 1092, 479, 475, 551, 12194, 6659, 295, 1665, 2273, 351, 19047, 725, 199, 450, 21031, 545, 323, 2135, 436, 5464, 2602, 762, 32772, 657, 494, 10822, 458, 962, 509, 4620, 687, 5265, 34764, 199, 37, 10792, 1245, 4440, 437, 1755, 312, 2138, 2968, 450, 11220, 6198, 2797, 2194, 498, 509, 1618, 446, 3711, 413, 7014, 199, 44, 524, 18834, 6966, 1137, 476, 859, 652, 10905, 5119, 611, 293, 9521, 870, 4262, 1745, 425, 954, 2113, 298, 2428, 199, 273, 1661, 280, 3264, 21877, 5129, 467, 40638, 290, 1421, 1034, 298, 5330, 275, 3282, 21083, 12661, 648, 601, 4050, 199, 1509, 496, 530, 317, 758, 339, 655, 408, 5322, 3171, 2248, 13246, 415, 1015, 340, 1172, 7177, 5125, 300, 420, 11132, 45, 199, 2300, 340, 797, 328, 599, 355, 3818, 300, 5147, 3692, 591, 346, 576, 5834, 418, 812, 451, 377, 2789, 33739, 600, 15251, 475, 199, 458, 14506, 13158, 376, 8136, 391, 926, 34364, 2548, 2529, 4358, 439, 23424, 317, 15934, 1141, 474, 661, 325, 5730, 40, 199, 2234, 18821, 4330, 6202, 259, 1150, 282, 1307, 34423, 1884, 292, 2771, 281, 832, 4262, 3173, 267, 7924, 10723, 199, 1063, 591, 1992, 828, 266, 2062, 345, 7195, 382, 702, 294, 607, 1049, 23504, 1722, 702, 14219, 490, 30666, 343, 1513, 199, 39, 2767, 350, 497, 2880, 507, 527, 377, 6793, 426, 383, 20167, 2000, 316, 1369, 2662, 22028, 265, 634, 280, 1615, 23775, 199, 1252, 14610, 367, 1449, 970, 6860, 659, 400, 611, 29881, 5549, 895, 543, 426, 458, 5786, 418, 10848, 9341, 519, 199, 522, 24210, 366, 946, 750, 999, 35221, 1496, 277, 1864, 281, 1564, 1220, 12575, 4332, 1449, 1939, 282, 695, 40825, 199, 1026, 1013, 29530, 1687, 16558, 49017, 40751, 1671, 483, 22184, 18451, 276, 4166, 328, 2153, 396, 409, 5763, 52, 199, 908, 5342, 6934, 1645, 12021 ]

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

[ 326, 822, 335, 7542, 1783, 279, 2345, 264, 1168, 2791, 717, 8548, 21408, 1311, 267, 199, 808, 318, 5890, 1482, 11041, 1015, 479, 12071, 531, 3741, 47510, 661, 1988, 940, 844, 3414, 543, 369, 12545, 199, 44, 1449, 5457, 2435, 9246, 4303, 523, 48466, 2206, 1611, 8894, 353, 5993, 38026, 637, 473, 351, 18221, 54, 199, 596, 11186, 762, 490, 958, 259, 22882, 2238, 347, 3746, 1022, 11133, 776, 334, 488, 1224, 510, 293, 3349, 272, 5134, 199, 12257, 12321, 741, 199, 0, 199, 2262, 284, 974, 42337, 2171, 856, 1484, 346, 1108, 268, 2256, 10194, 1231, 1404, 3514, 414, 357, 30565, 5389, 545, 199, 808, 346, 3884, 838, 45160, 16853, 10509, 13741, 40, 934, 293, 1377, 2627, 2393, 268, 1898, 32330, 433, 412, 873, 2672, 199, 464, 1534, 1201, 379, 659, 270, 4372, 283, 736, 2399, 6216, 41227, 8230, 389, 1320, 279, 1330, 32205, 1043, 969, 406, 199, 1625, 5585, 1067, 39226, 36759, 6228, 4223, 9447, 269, 1054, 844, 270, 546, 10490, 20665, 25817, 2612, 2972, 43, 199, 690, 7972, 1324, 1098, 628, 886, 12775, 992, 296, 899, 317, 36311, 404, 694, 1066, 477, 5521, 21015, 616, 517, 54, 199, 298, 1137, 446, 3736, 1212, 1101, 291, 8129, 927, 346, 726, 268, 1369, 404, 45210, 1586, 18584, 381, 3153, 18525, 3335, 199, 1749, 3588, 535, 21409, 590, 1066, 3391, 40, 3465, 882, 19651, 631, 630, 410, 1218, 538, 477, 712, 35709, 573, 8327, 52, 199, 425, 7748, 281, 1664, 11638, 620, 2005, 567, 263, 1656, 6447, 270, 1006, 3570, 641, 12657, 4359, 4884, 569, 1497, 199, 423, 918, 14178, 444, 32415, 17596, 572, 313, 1179, 15003, 282, 850, 931, 13081, 13408, 595, 364, 1609, 17779, 1105, 57, 199, 520, 380, 1419, 1333, 15705, 5206, 1773, 3102, 633, 12689, 274, 1838, 552, 8015, 16576, 12348, 8252, 34250, 408, 199, 270, 912, 564, 30648, 331, 1186, 790, 942, 12717, 610, 3167, 350, 3395, 1098, 268, 960, 328, 4082, 344, 834, 670, 300, 838, 199, 403, 1245, 410, 12056, 466, 265, 47516, 919, 375, 519, 3022, 1726, 475, 5108, 1272, 967, 356, 5500, 297, 2036, 1388, 199, 340, 472, 2946, 12119, 42484, 737, 3462, 461, 2590, 372, 412, 1255, 6055, 403, 453, 721, 477, 3533, 1837, 1723, 268, 199, 352, 1244, 1470, 1664, 46905, 428, 14909, 4587, 1206, 2471, 1329, 34429, 2761, 367, 735, 17443, 31510, 5817, 278, 199, 51, 5105, 274, 2039, 395, 418, 588, 405, 20756, 2677, 2276, 724, 358, 412, 3189, 50069, 940, 416, 2895, 414, 1225, 12743, 199, 26680, 497, 10865, 376, 603, 12448, 1597, 398, 10483, 492, 274, 1051, 20266, 320, 979, 43418, 2076, 1252, 449, 520, 399, 199, 396, 5669, 4113, 334, 983, 285, 1576, 759, 316, 3249, 442, 3068, 523, 699, 31023, 282, 2468, 533, 410, 13248, 296, 385, 199, 531, 2095, 408, 524, 9740, 23608, 35870, 864, 367, 757, 1590, 408, 11397, 813, 428, 1297, 281, 600, 6217, 408, 3420, 199, 1590, 2301, 199, 0, 199, 1123, 32253, 613, 12625, 612, 2618, 764, 461, 5572, 1265, 48, 5224, 351, 4070, 904, 258, 1114, 7603, 2418, 937, 199, 1778, 350, 3197, 18905, 1577, 13005, 610, 282, 3356 ]

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

[ 8557, 415, 362, 1995, 431, 430, 834, 44206, 1229, 376, 487, 2709, 199, 23454, 3305, 1556, 754, 5932, 564, 3591, 814, 17999, 927, 2289, 21269, 780, 1520, 270, 1544, 3692, 470, 484, 199, 12381, 8715, 487, 6879, 369, 3826, 1198, 4068, 1230, 293, 760, 437, 1909, 7014, 38541, 1928, 316, 848, 713, 2143, 199, 21367, 1314, 5240, 12082, 40335, 34536, 1212, 387, 788, 319, 5817, 2338, 6288, 6065, 2012, 1497, 9439, 18614, 324, 199, 888, 39581, 6666, 536, 286, 633, 515, 340, 11802, 532, 4309, 367, 5259, 410, 4946, 22517, 987, 42715, 546, 1342, 199, 41537, 985, 19550, 5543, 401, 1178, 336, 1572, 1674, 13353, 3470, 816, 4585, 2663, 16838, 1783, 2453, 301, 2003, 199, 962, 403, 7818, 24639, 2899, 479, 364, 23258, 1024, 413, 1883, 44003, 820, 836, 9477, 2253, 2129, 553, 380, 953, 199, 35950, 317, 27917, 984, 276, 3025, 608, 40612, 778, 445, 1538, 713, 1026, 759, 14836, 419, 740, 350, 472, 335, 3363, 564, 199, 2998, 6608, 46766, 1618, 977, 44198, 360, 36225, 279, 45667, 963, 2544, 1593, 3266, 48840, 3868, 20777, 13102, 199, 22892, 3194, 395, 8861, 682, 1271, 481, 14264, 25525, 2395, 35689, 498, 766, 1095, 14696, 1237, 263, 972, 364, 199, 4241, 642, 522, 384, 416, 313, 2142, 485, 346, 1882, 455, 402, 1526, 28776, 1227, 402, 3378, 3920, 7766, 1723, 8839, 33, 199, 25481, 1236, 888, 590, 335, 2294, 3182, 10337, 693, 298, 16010, 29581, 330, 1939, 1800, 319, 1068, 16367, 5655, 619, 199, 22076, 1504, 4148, 2861, 13258, 4090, 24116, 33455, 497, 1037, 324, 1504, 274, 3354, 671, 281, 4090, 24116, 703, 199, 279, 994, 37656, 1215, 274, 632, 19301, 330, 4090, 15252, 33455, 994, 417, 324, 1215, 274, 3354, 671, 14045, 460, 199, 31276, 703, 7276, 619, 3047, 1504, 4148, 2861, 22413, 4090, 15252, 33455, 994, 417, 324, 1504, 3436, 2861, 323, 199, 330, 9460, 31276, 703, 7276, 619, 3047, 336, 13962, 2861, 13258, 4090, 24116, 33455, 497, 1037, 324, 1504, 4148, 199, 2861, 323, 7529, 993, 1873, 741, 12521, 562, 8696, 48031, 596, 30551, 261, 1060, 595, 15229, 4992, 551, 1341, 199, 857, 29687, 199, 0, 199, 662, 397, 12642, 6103, 335, 1528, 36811, 495, 1127, 49641, 3752, 548, 22512, 856, 386, 604, 18589, 538, 332, 16728, 199, 2032, 6680, 908, 337, 571, 25167, 356, 1387, 20719, 3235, 8562, 316, 31687, 895, 313, 895, 15051, 818, 684, 273, 199, 11148, 714, 12391, 277, 1178, 1681, 422, 2432, 371, 2744, 536, 359, 6773, 875, 9052, 1773, 279, 1520, 2195, 370, 2135, 199, 1165, 2466, 377, 1642, 46387, 23269, 1087, 15408, 1115, 40, 1562, 1727, 856, 328, 1345, 292, 1345, 5467, 895, 951, 325, 199, 356, 1300, 9210, 1590, 386, 4143, 3419, 327, 1063, 1187, 928, 263, 1010, 1000, 1132, 1995, 10102, 890, 521, 26985, 199, 1969, 292, 1295, 3448, 3277, 410, 1387, 41063, 540, 281, 19290, 14231, 599, 10641, 340, 499, 18085, 441, 487, 576, 6580, 199, 330, 677, 268, 1328, 374, 355, 692, 362, 15489, 1391, 282, 1208, 962, 1675, 3741, 690, 314, 434, 1485, 3854, 697, 1234, 199, 17317, 938, 6272, 1562, 6680, 30220, 1220, 12803, 866, 39198, 7380, 735 ]

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

[ 455, 1753, 762, 1636, 365, 1608, 33, 199, 9792, 623, 414, 440, 21056, 1490, 276, 14605, 28853, 341, 26934, 47071, 2044, 574, 1184, 5266, 17536, 12923, 393, 199, 1014, 9305, 20302, 43810, 809, 11146, 2344, 1344, 849, 1503, 286, 802, 4374, 7952, 370, 589, 404, 639, 1000, 199, 44, 2889, 28800, 4133, 28176, 10327, 627, 3265, 423, 2288, 411, 1073, 43159, 16868, 313, 1231, 2138, 356, 29523, 784, 199, 371, 1141, 330, 558, 543, 19494, 287, 2909, 1440, 31975, 1300, 17186, 2132, 6067, 1184, 268, 2387, 315, 17337, 1468, 33, 199, 3890, 448, 7221, 1212, 1326, 2591, 369, 2087, 389, 1018, 457, 1094, 1854, 20217, 407, 487, 4170, 821, 36, 695, 4944, 199, 1541, 389, 5091, 325, 1638, 16960, 6754, 10820, 1130, 925, 2126, 2788, 535, 503, 789, 16425, 551, 396, 1588, 199, 483, 371, 381, 2050, 417, 952, 2686, 268, 1619, 277, 28439, 2563, 13090, 542, 7165, 2044, 4453, 317, 465, 4053, 2014, 199, 330, 531, 315, 1862, 26150, 2133, 418, 3456, 275, 2049, 264, 2010, 2432, 1513, 372, 43222, 3241, 17140, 2280, 2780, 630, 199, 313, 1197, 580, 502, 21864, 27717, 594, 669, 420, 272, 3545, 25540, 515, 10276, 4006, 5751, 13910, 12634, 510, 199, 426, 2760, 507, 20205, 473, 2032, 937, 10714, 4060, 3906, 1077, 12389, 33061, 908, 2365, 383, 7581, 3284, 199, 39, 28857, 2112, 286, 5926, 318, 45005, 2736, 1295, 858, 14479, 22679, 519, 20994, 55, 601, 19227, 281, 784, 286, 545, 199, 312, 1044, 16168, 199, 0, 199, 28715, 1691, 367, 1512, 2412, 24953, 1015, 1131, 321, 3103, 486, 668, 19616, 294, 8040, 582, 29093, 473, 327, 2112, 199, 12663, 675, 6700, 570, 2395, 686, 47977, 458, 28767, 1146, 287, 842, 1618, 266, 17007, 1071, 292, 2232, 21285, 199, 3940, 653, 561, 25943, 583, 336, 1946, 364, 859, 269, 1346, 32772, 21998, 10225, 9275, 450, 1373, 1182, 274, 1239, 396, 199, 39, 4071, 9232, 5099, 791, 34154, 8011, 5336, 331, 1443, 350, 813, 2134, 2263, 1338, 4213, 291, 694, 417, 967, 199, 51, 9145, 263, 2273, 440, 1782, 536, 1163, 41632, 1200, 846, 367, 6246, 646, 3985, 542, 333, 519, 1566, 284, 3229, 3842, 199, 20513, 406, 908, 332, 2280, 576, 348, 38516, 329, 4033, 1026, 300, 785, 8349, 14928, 316, 1603, 312, 6406, 290, 1429, 199, 1673, 4127, 1220, 382, 813, 30737, 1307, 356, 6426, 2327, 21810, 7501, 382, 658, 4109, 264, 760, 406, 2512, 2337, 199, 41199, 327, 6490, 28895, 41485, 6320, 342, 834, 556, 637, 900, 42985, 413, 19639, 1587, 440, 295, 2713, 929, 36, 199, 1184, 420, 49653, 1469, 4955, 1200, 7130, 1524, 813, 691, 406, 1168, 27623, 407, 3049, 950, 3391, 35421, 199, 326, 4818, 284, 422, 954, 530, 2399, 2344, 22501, 282, 5295, 1238, 294, 5509, 659, 9791, 6497, 13081, 6073, 412, 199, 2073, 537, 263, 2322, 351, 8039, 8954, 1099, 413, 7799, 317, 694, 994, 7133, 7452, 27992, 11901, 5764, 460, 199, 51, 988, 6399, 24799, 1736, 288, 510, 342, 341, 1638, 312, 895, 689, 5351, 1359, 867, 426, 418, 6593, 386, 6406, 199, 31856, 2388, 9161, 542, 1384, 35909, 9365, 2225, 506, 889, 325, 1475, 314, 16511, 355 ]

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

[ 2388, 33372, 537, 31839, 199, 483, 314, 506, 14395, 365, 18498, 2022, 810, 23126, 318, 20919, 7978, 3960, 586, 1841, 889, 371, 2401, 523, 15414, 199, 3085, 32537, 1300, 334, 2127, 1796, 46155, 5624, 461, 418, 6595, 41604, 2824, 954, 441, 884, 438, 20620, 637, 33, 199, 2149, 280, 1097, 5838, 2086, 343, 2736, 327, 393, 3326, 785, 52, 4919, 295, 1100, 279, 783, 664, 22084, 314, 7026, 199, 39, 558, 20575, 9381, 393, 1858, 355, 23655, 9027, 3966, 1419, 523, 12565, 824, 1382, 8012, 36154, 5433, 199, 13350, 199, 0, 199, 375, 413, 3954, 14034, 30816, 1780, 2081, 7709, 15448, 542, 744, 2005, 424, 14050, 5948, 828, 324, 974, 18244, 45, 199, 18266, 633, 3534, 4664, 274, 1137, 1751, 5220, 39277, 1358, 647, 443, 4453, 1380, 500, 398, 2502, 362, 3260, 3378, 199, 1163, 1593, 347, 1690, 319, 2136, 497, 10582, 657, 534, 2569, 275, 2660, 261, 583, 1159, 35289, 2537, 3357, 1071, 1731, 499, 199, 39, 660, 1144, 31540, 401, 387, 572, 287, 1066, 31896, 1463, 417, 5257, 371, 1806, 370, 831, 35277, 798, 285, 808, 275, 199, 492, 352, 1409, 13023, 1136, 1749, 8790, 612, 1520, 11567, 368, 2788, 666, 353, 457, 20010, 355, 2133, 6066, 455, 35678, 199, 265, 505, 1342, 16219, 34253, 28778, 425, 672, 3477, 2052, 554, 268, 2286, 555, 2564, 526, 329, 1240, 27392, 740, 18659, 199, 44, 3049, 333, 1505, 616, 7679, 2210, 22140, 7477, 704, 381, 544, 16923, 367, 47463, 1241, 337, 538, 367, 15851, 452, 199, 332, 5725, 507, 21943, 365, 2684, 396, 8074, 2507, 3603, 839, 286, 638, 2079, 565, 279, 2717, 1159, 316, 6937, 12162, 199, 19177, 1527, 48, 1211, 282, 733, 24868, 13639, 1122, 31731, 5394, 16932, 3245, 6236, 498, 395, 12364, 655, 11437, 199, 1230, 1044, 394, 2166, 10879, 3010, 326, 642, 2348, 318, 1595, 2237, 687, 413, 734, 12302, 18431, 333, 27836, 726, 334, 199, 39, 1407, 481, 270, 2252, 6394, 766, 19818, 1154, 483, 15444, 6505, 667, 391, 2769, 791, 870, 614, 408, 2494, 33, 199, 393, 1035, 444, 25061, 708, 1885, 342, 34797, 1750, 299, 1304, 262, 10148, 2263, 848, 335, 1561, 1217, 407, 468, 1591, 322, 199, 39, 1450, 326, 439, 2035, 587, 346, 9677, 513, 420, 4259, 319, 1348, 375, 418, 1586, 1232, 742, 18921, 999, 677, 4339, 199, 3452, 3429, 1762, 269, 767, 5149, 368, 511, 281, 556, 354, 27011, 2791, 33391, 559, 15343, 572, 639, 866, 5640, 199, 2917, 440, 24777, 1377, 15059, 6030, 329, 2002, 1816, 4318, 350, 1438, 316, 21259, 5008, 755, 5491, 530, 13742, 199, 42352, 2138, 823, 1637, 15381, 5807, 1440, 11746, 291, 629, 1066, 281, 910, 1148, 418, 6217, 2182, 316, 30383, 374, 199, 485, 2159, 2075, 629, 706, 8721, 432, 13524, 2544, 21621, 1844, 44641, 271, 1041, 880, 449, 4211, 362, 45680, 2361, 54, 199, 20299, 331, 6878, 353, 510, 405, 1773, 261, 1485, 5797, 386, 21517, 2101, 493, 335, 618, 346, 458, 1238, 21864, 1524, 199, 1069, 391, 1801, 354, 16870, 7714, 2617, 509, 1283, 950, 273, 1834, 323, 413, 738, 358, 20912, 492, 12957, 1718, 409, 432, 46, 199, 595, 275, 1712, 276 ]

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

[ 199, 0, 199, 382, 2691, 20711, 2176, 258, 2159, 874, 19801, 2016, 286, 620, 1045, 29599, 8545, 703, 33774, 667, 326, 1432, 588, 199, 1411, 301, 22747, 1307, 391, 476, 679, 1058, 16067, 493, 13039, 919, 1524, 703, 14037, 24481, 258, 2110, 271, 673, 2920, 199, 946, 369, 4908, 1320, 44486, 1632, 26443, 1044, 407, 7583, 329, 19528, 1234, 271, 1135, 283, 779, 2134, 345, 15076, 199, 838, 324, 437, 1382, 2148, 1991, 446, 22917, 3640, 446, 385, 35350, 46975, 2320, 827, 850, 577, 258, 541, 5133, 1016, 261, 199, 1122, 696, 50069, 1995, 332, 2104, 28324, 31407, 497, 5987, 413, 789, 993, 282, 3002, 490, 21511, 1250, 1818, 368, 199, 906, 677, 11530, 27308, 701, 453, 11086, 1815, 19877, 643, 43353, 9589, 527, 463, 4057, 1584, 2156, 867, 13372, 199, 1252, 2782, 1251, 49512, 1768, 523, 272, 3138, 1327, 281, 11008, 1095, 22604, 451, 4588, 1171, 37738, 38802, 484, 199, 10617, 640, 1380, 264, 1247, 1651, 585, 332, 3664, 435, 6902, 340, 513, 908, 4267, 28220, 1320, 12076, 549, 441, 443, 26524, 199, 6947, 2176, 1079, 8473, 552, 437, 25101, 9660, 49577, 313, 4508, 448, 2359, 29037, 6801, 342, 551, 39649, 1005, 199, 1096, 26892, 1848, 337, 8667, 1410, 1002, 17197, 3232, 284, 652, 1218, 473, 377, 634, 709, 1351, 324, 704, 10761, 54, 199, 5168, 36278, 9040, 1486, 24825, 805, 646, 288, 647, 437, 1520, 411, 3603, 496, 2555, 417, 43655, 2029, 18909, 4326, 54, 199, 372, 43233, 1412, 1212, 689, 21609, 17775, 695, 35975, 517, 371, 829, 3887, 301, 7252, 297, 607, 3939, 33630, 55, 199, 14249, 4318, 361, 3141, 542, 370, 1512, 1179, 408, 2527, 288, 834, 344, 1092, 23593, 786, 393, 527, 11932, 7291, 1075, 199, 1261, 1523, 497, 6132, 347, 4140, 849, 1073, 287, 1097, 9374, 17121, 643, 349, 32786, 560, 330, 20483, 1175, 358, 636, 55, 199, 355, 382, 12396, 4300, 944, 30258, 2834, 364, 29442, 499, 786, 277, 643, 3504, 1550, 386, 427, 1268, 49, 1619, 8303, 1678, 199, 42390, 3652, 324, 370, 4274, 800, 355, 3265, 26221, 2966, 933, 39543, 1969, 3789, 317, 5299, 300, 1051, 8565, 199, 39, 1357, 467, 4033, 3657, 759, 313, 42397, 478, 6938, 16647, 1614, 323, 445, 1429, 3878, 579, 507, 3297, 370, 1052, 199, 556, 1781, 263, 8615, 631, 320, 441, 986, 1075, 15487, 794, 1902, 296, 408, 3246, 4762, 458, 410, 5923, 808, 10332, 199, 297, 8522, 366, 35907, 720, 4719, 1657, 354, 10560, 404, 36019, 5269, 1849, 4038, 452, 22437, 261, 925, 702, 268, 199, 49, 1461, 377, 1714, 199, 0, 199, 1271, 426, 1674, 10828, 33344, 903, 913, 1150, 350, 419, 2480, 278, 4748, 26288, 1722, 688, 2480, 273, 1535, 265, 199, 426, 969, 7067, 607, 519, 17194, 1252, 718, 265, 564, 9021, 987, 19626, 298, 1720, 17370, 1300, 900, 3325, 513, 199, 1212, 1012, 350, 691, 390, 664, 280, 11190, 516, 4111, 684, 762, 327, 695, 18131, 32234, 10367, 25254, 431, 8895, 199, 1645, 564, 1012, 7116, 14143, 291, 607, 5616, 640, 362, 33531, 9231, 6971, 540, 7247, 7456, 13453, 1946, 314, 199, 930, 301, 422, 406, 2198, 513, 14643, 3441, 25415, 2060 ]

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

[ 6304, 406, 1382, 461, 2050, 17956, 2332, 338, 5970, 499, 275, 199, 492, 8397, 1262, 1183, 787, 31667, 17601, 1042, 12617, 349, 1128, 344, 885, 4490, 2726, 267, 2313, 1188, 2071, 7242, 199, 3084, 376, 5438, 1520, 291, 941, 4943, 975, 35750, 16145, 910, 265, 1267, 1730, 261, 758, 17952, 695, 259, 1958, 199, 2947, 1271, 394, 3028, 4121, 356, 1744, 322, 16126, 377, 691, 266, 804, 22843, 538, 907, 3652, 284, 575, 20065, 1248, 52, 199, 358, 378, 3588, 12558, 1262, 428, 17324, 1310, 1518, 1840, 6139, 1187, 2767, 341, 550, 430, 26815, 329, 3408, 33, 199, 12845, 683, 1113, 572, 283, 683, 7608, 28228, 20387, 327, 11188, 8528, 2197, 589, 314, 586, 755, 290, 14906, 199, 1775, 5760, 526, 1715, 360, 4461, 4122, 1104, 934, 5439, 360, 654, 5439, 360, 4461, 3166, 324, 1348, 35662, 199, 17760, 273, 1492, 11144, 2066, 264, 439, 6364, 442, 2475, 362, 1760, 750, 375, 903, 404, 3927, 510, 903, 1685, 558, 199, 44, 2813, 366, 1020, 18322, 282, 2331, 1848, 32856, 295, 2194, 433, 3745, 10128, 6301, 1714, 589, 4033, 1261, 346, 199, 2549, 4824, 280, 1760, 14137, 673, 10557, 273, 20909, 673, 324, 366, 6092, 3157, 39916, 1180, 286, 1651, 21402, 199, 392, 2076, 2317, 3045, 1289, 1156, 5283, 373, 526, 526, 1644, 33057, 6261, 1589, 273, 1036, 29482, 950, 260, 5895, 54, 199, 1116, 1280, 5100, 464, 6193, 299, 906, 443, 15507, 3339, 25779, 684, 33266, 1546, 38157, 776, 372, 606, 8590, 199, 5976, 606, 18685, 2266, 1536, 366, 16399, 26093, 621, 341, 373, 3256, 2740, 277, 1455, 41908, 367, 400, 1592, 1169, 1855, 199, 30621, 9743, 576, 391, 12502, 324, 10051, 282, 1328, 278, 2740, 3292, 1389, 337, 3478, 14106, 892, 258, 947, 2760, 199, 51, 11328, 4889, 295, 992, 1901, 29777, 651, 45196, 25215, 411, 576, 13373, 934, 356, 1003, 264, 901, 11412, 1180, 50, 199, 344, 20815, 614, 199, 0, 199, 662, 340, 1536, 1376, 546, 2527, 8111, 13191, 4575, 1781, 323, 2348, 16255, 358, 15287, 1584, 1178, 407, 1175, 8217, 199, 374, 1405, 3173, 1510, 30007, 367, 2518, 6229, 367, 1203, 26259, 576, 9758, 1098, 11841, 28952, 1900, 40316, 2127, 199, 1978, 2876, 276, 2011, 758, 391, 19022, 14664, 364, 8118, 1224, 413, 1453, 284, 1379, 1291, 1610, 1045, 1812, 45167, 199, 8915, 25269, 356, 469, 1046, 378, 730, 335, 5389, 3003, 299, 1935, 1142, 41803, 684, 300, 413, 8387, 1575, 448, 517, 199, 331, 406, 1728, 286, 885, 263, 3428, 265, 1127, 1031, 390, 21586, 662, 404, 470, 445, 477, 26817, 2152, 10705, 482, 4006, 1843, 199, 25471, 476, 563, 16867, 1801, 13214, 599, 10366, 24028, 1031, 693, 425, 28971, 5510, 47379, 1445, 28871, 331, 1072, 199, 34296, 15191, 11940, 413, 7529, 758, 293, 686, 438, 1267, 812, 383, 1010, 1097, 1013, 661, 330, 1081, 6842, 828, 199, 1232, 322, 445, 8045, 521, 363, 806, 443, 999, 367, 10353, 334, 8848, 343, 3433, 1013, 471, 1055, 345, 1225, 10664, 444, 199, 2293, 17732, 4839, 10449, 14514, 1176, 520, 361, 6595, 8339, 27280, 4292, 456, 24574, 1853, 8147, 862, 48, 199, 25760, 4208, 33310, 14909, 1161, 565, 276 ]

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

[ 1545, 2226, 263, 817, 8516, 38236, 371, 873, 470, 19085, 441, 892, 8660, 199, 346, 1015, 1262, 12896, 344, 1087, 1315, 48294, 496, 518, 17386, 433, 1418, 2159, 2117, 14912, 361, 2190, 281, 5918, 57, 1306, 199, 5365, 12319, 2385, 3713, 278, 5711, 4978, 28934, 1446, 648, 19456, 429, 5217, 909, 23810, 2932, 12139, 382, 706, 199, 283, 5225, 3403, 1281, 1558, 1208, 1630, 11167, 1301, 7856, 1687, 276, 1260, 1070, 1377, 426, 1281, 16022, 1606, 6338, 199, 13804, 718, 448, 344, 1915, 332, 13946, 35, 1847, 680, 15045, 321, 600, 2430, 316, 1070, 24950, 454, 2606, 48441, 7730, 199, 2425, 22442, 314, 1890, 19947, 278, 5765, 1421, 32400, 1236, 3275, 11766, 1572, 290, 1410, 49097, 6029, 1069, 826, 199, 1235, 332, 8916, 332, 413, 14146, 476, 16019, 743, 482, 741, 324, 1312, 404, 2723, 415, 4984, 1223, 1026, 27522, 5046, 610, 199, 1530, 378, 396, 740, 3733, 330, 1209, 335, 5786, 31240, 784, 265, 1098, 21814, 6509, 943, 32778, 1499, 25340, 894, 199, 988, 341, 814, 9439, 375, 37378, 363, 670, 335, 5617, 1359, 1875, 35474, 3782, 41658, 1273, 6409, 1682, 37197, 199, 1384, 6137, 328, 3318, 764, 1779, 1873, 398, 2157, 9263, 1878, 387, 37696, 814, 330, 791, 518, 1016, 43991, 15750, 199, 1175, 414, 13702, 199, 0, 199, 382, 496, 5688, 607, 346, 1315, 278, 4837, 8742, 1087, 344, 435, 5191, 338, 1267, 621, 10561, 933, 410, 723, 42368, 566, 54, 199, 426, 584, 22735, 5197, 1476, 1768, 409, 1477, 32324, 1545, 7323, 896, 3943, 3332, 6820, 287, 755, 259, 1914, 272, 199, 947, 325, 1030, 23145, 369, 1575, 1311, 4193, 837, 379, 734, 12288, 13280, 1974, 35, 2064, 19099, 267, 2769, 504, 46967, 199, 44, 733, 379, 496, 19980, 27895, 16224, 35, 870, 3525, 1942, 3180, 19141, 2656, 270, 5852, 38755, 400, 8943, 1341, 199, 509, 4804, 1429, 338, 3381, 261, 1315, 437, 15280, 23142, 6943, 31754, 294, 545, 7088, 797, 1213, 280, 5094, 800, 689, 199, 320, 1131, 10928, 35555, 343, 20649, 2509, 1446, 338, 5451, 288, 1817, 4644, 14618, 5628, 1220, 370, 5265, 1044, 199, 332, 981, 55, 799, 7251, 37656, 523, 542, 13171, 348, 2822, 28472, 4837, 299, 2118, 802, 633, 3382, 21612, 1710, 36, 199, 2297, 937, 23122, 267, 888, 257, 1131, 1418, 777, 681, 509, 857, 260, 2806, 971, 3651, 24206, 264, 1959, 1128, 647, 199, 610, 23924, 581, 8136, 1355, 6008, 401, 2645, 2076, 372, 1214, 5834, 5802, 690, 21817, 1563, 509, 1973, 283, 1505, 199, 381, 752, 2037, 472, 1479, 331, 1284, 3570, 407, 1020, 7059, 353, 963, 402, 590, 1682, 319, 8358, 463, 1111, 38125, 35, 199, 258, 1112, 1105, 9752, 862, 265, 4354, 551, 7173, 5685, 923, 6241, 584, 452, 4170, 579, 2138, 267, 1046, 609, 199, 21075, 354, 3992, 296, 798, 317, 400, 834, 269, 1488, 457, 3376, 7038, 888, 911, 939, 2897, 295, 677, 435, 5783, 714, 199, 7371, 315, 606, 331, 393, 11253, 383, 8207, 496, 2109, 17534, 1836, 5223, 364, 762, 35627, 396, 3925, 414, 16291, 54, 199, 369, 5231, 918, 324, 1976, 612, 314, 450, 35302, 1252, 1757, 696, 23678, 745, 2021, 1199, 377 ]

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

[ 639, 403, 1125, 501, 319, 199, 36, 5466, 3483, 556, 8018, 2145, 1032, 264, 1353, 1349, 540, 13832, 1615, 506, 366, 1103, 375, 455, 365, 3369, 976, 886, 199, 44, 8477, 399, 22470, 860, 12242, 627, 1404, 567, 38936, 540, 433, 618, 7101, 3221, 413, 584, 503, 409, 1804, 7817, 199, 438, 267, 886, 441, 16224, 696, 332, 10854, 1415, 2311, 48, 705, 287, 1265, 7588, 1184, 288, 2388, 29914, 16207, 1761, 199, 39, 39137, 697, 576, 18603, 1740, 1628, 23333, 441, 3640, 1306, 5970, 269, 524, 6366, 371, 7410, 592, 833, 1225, 54, 199, 627, 17713, 550, 374, 473, 519, 1029, 34415, 3451, 361, 1259, 1040, 475, 392, 1297, 450, 382, 509, 342, 950, 392, 395, 21741, 199, 22527, 316, 13248, 199, 0, 199, 42619, 30392, 990, 4361, 404, 539, 16153, 328, 427, 2093, 287, 3088, 1540, 5026, 937, 1185, 6475, 4865, 27468, 199, 5657, 13692, 466, 38562, 14975, 1739, 11474, 313, 878, 453, 1179, 16972, 44933, 6875, 27591, 1502, 301, 1080, 387, 199, 8060, 263, 1575, 15555, 650, 1600, 7260, 812, 332, 5197, 2777, 345, 714, 18128, 1458, 313, 803, 287, 632, 448, 287, 199, 328, 12630, 300, 772, 351, 698, 297, 2275, 391, 1570, 4697, 396, 6389, 23670, 7850, 2017, 803, 5587, 42508, 2238, 57, 199, 23877, 13053, 3489, 376, 46241, 5238, 338, 842, 600, 433, 335, 37185, 1236, 3789, 1698, 2155, 1055, 670, 3926, 199, 779, 276, 2873, 3688, 300, 434, 669, 8799, 479, 18054, 914, 1115, 3417, 11149, 491, 13905, 29600, 1007, 22473, 199, 1232, 2365, 35369, 1198, 574, 7913, 1793, 11321, 3327, 6017, 351, 781, 1338, 12363, 725, 4869, 629, 391, 425, 49, 199, 271, 1923, 1815, 22353, 1234, 965, 356, 27054, 287, 819, 1877, 13324, 1982, 1563, 675, 390, 511, 352, 1396, 6069, 327, 199, 288, 1234, 653, 1358, 1125, 1178, 1482, 32765, 2624, 328, 743, 1236, 8933, 1329, 32548, 821, 1523, 2222, 532, 364, 199, 343, 6999, 5455, 1217, 1905, 3681, 351, 1836, 1630, 2150, 15841, 402, 1525, 450, 35292, 2292, 21389, 1788, 997, 513, 199, 345, 844, 297, 766, 337, 819, 19806, 500, 387, 44800, 385, 1358, 444, 18048, 1142, 8040, 1202, 528, 522, 385, 4323, 963, 199, 1331, 1034, 29901, 693, 297, 477, 3819, 332, 2001, 757, 345, 821, 1110, 1175, 22505, 367, 844, 8475, 4175, 3062, 199, 37, 411, 989, 1531, 2866, 328, 11445, 766, 40984, 2284, 17915, 757, 2640, 2590, 465, 6515, 3896, 260, 28896, 199, 37, 5021, 729, 279, 2388, 43101, 370, 1080, 1224, 293, 839, 405, 536, 390, 427, 17488, 1634, 450, 11834, 990, 14464, 199, 8291, 464, 17780, 1373, 362, 12919, 5027, 268, 1214, 1344, 1214, 48, 1007, 396, 416, 411, 8799, 2725, 1080, 2745, 819, 38, 199, 5865, 473, 338, 12422, 1572, 364, 1962, 3649, 31203, 950, 18989, 971, 796, 4234, 908, 325, 1454, 760, 338, 21827, 199, 7813, 6259, 392, 449, 548, 844, 406, 40453, 411, 1149, 10923, 333, 677, 20443, 12638, 1967, 273, 2291, 868, 408, 8298, 199, 3986, 555, 5163, 640, 1066, 12113, 1914, 337, 6004, 1314, 2910, 991, 359, 1813, 20200, 1154, 288, 1117, 1386, 644, 199, 11415, 2344, 580, 536, 2295 ]

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

[ 10005, 30104, 14703, 9288, 3867, 1042, 265, 2141, 1177, 22884, 1685, 271, 588, 57, 199, 1878, 45432, 473, 199, 0, 199, 563, 285, 1253, 729, 32405, 498, 317, 536, 18412, 14280, 6100, 7010, 48144, 391, 355, 573, 470, 1416, 1527, 282, 512, 199, 960, 270, 576, 9300, 2504, 646, 46, 2924, 347, 5900, 269, 1460, 40056, 2979, 350, 19391, 1145, 1145, 924, 501, 475, 199, 5257, 467, 386, 1092, 260, 748, 347, 9617, 730, 23076, 8241, 265, 1626, 25708, 2268, 262, 665, 1817, 765, 312, 1951, 199, 457, 804, 346, 1014, 835, 19835, 1869, 22924, 5084, 475, 6261, 754, 7569, 384, 11239, 588, 395, 1210, 356, 376, 1690, 199, 5660, 338, 2407, 547, 12166, 483, 3095, 463, 40, 1342, 407, 1268, 2828, 442, 8822, 403, 399, 47121, 8314, 372, 610, 1450, 199, 4024, 2321, 448, 1854, 5250, 401, 1852, 416, 8195, 392, 25128, 3883, 11754, 545, 685, 341, 852, 2218, 3408, 479, 199, 25464, 29349, 1808, 411, 8395, 911, 38824, 2009, 257, 856, 337, 419, 931, 1004, 660, 714, 1018, 374, 341, 1327, 38649, 199, 542, 6934, 695, 858, 322, 4679, 2979, 316, 15645, 318, 610, 555, 3069, 281, 638, 7469, 451, 674, 8462, 259, 926, 441, 199, 26277, 6166, 49880, 11911, 1866, 29378, 3682, 539, 977, 26552, 3340, 379, 418, 623, 411, 548, 17599, 8811, 199, 10855, 13619, 1259, 270, 1026, 13465, 618, 29325, 2842, 723, 292, 1375, 4722, 1156, 1769, 671, 23032, 644, 46, 199, 422, 406, 2145, 1654, 548, 21772, 625, 345, 8600, 11722, 331, 28577, 1012, 11744, 4425, 2132, 4768, 16951, 459, 199, 5515, 1482, 10750, 503, 602, 41463, 886, 3209, 2868, 268, 1336, 6625, 56, 432, 43, 56, 1131, 348, 29328, 15144, 278, 199, 17733, 605, 642, 47222, 1467, 56, 25086, 292, 5049, 358, 318, 424, 2012, 263, 612, 428, 399, 907, 468, 12131, 655, 331, 23539, 199, 446, 316, 2605, 41337, 454, 2775, 16602, 2914, 1202, 56, 269, 639, 317, 1830, 56, 322, 56, 1508, 56, 387, 1109, 52, 56, 8503, 560, 38, 199, 6506, 4685, 57, 938, 370, 38420, 19780, 633, 5172, 517, 6317, 1119, 8442, 30653, 914, 275, 779, 269, 1433, 54, 199, 491, 20960, 56, 3566, 529, 772, 4903, 361, 13642, 319, 1443, 24480, 33, 2588, 522, 427, 1855, 56, 495, 12731, 409, 56, 430, 48436, 199, 330, 505, 56, 280, 1891, 25409, 3074, 56, 8886, 474, 414, 1011, 1071, 26054, 38532, 809, 1747, 258, 2708, 406, 11711, 4160, 199, 260, 1407, 22187, 8423, 1539, 11783, 387, 1417, 24039, 9142, 258, 2064, 30642, 3662, 1740, 4985, 2046, 279, 2704, 199, 24016, 8182, 4878, 1084, 1953, 1254, 418, 3583, 2280, 600, 7773, 518, 6742, 28141, 1203, 268, 856, 2569, 43357, 199, 1300, 621, 1661, 199, 0, 199, 1694, 3762, 427, 329, 2518, 355, 496, 11883, 431, 3867, 697, 682, 394, 1393, 595, 328, 2332, 261, 925, 516, 1191, 34023, 199, 3963, 19924, 6473, 16388, 273, 1137, 315, 12951, 925, 26526, 1096, 342, 2686, 5108, 452, 11885, 364, 1781, 9392, 49, 199, 281, 912, 1108, 40074, 584, 958, 421, 316, 6790, 5174, 912, 6215, 673, 414, 345, 1347, 581, 323, 458, 2160, 29874, 199, 277 ]

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

[ 751, 18412, 15997, 1010, 43, 1202, 335, 1253, 283, 1420, 35856, 786, 2047, 4021, 1579, 15290, 1216, 285, 1427, 350, 199, 483, 324, 1289, 426, 6825, 3322, 3173, 519, 6469, 6124, 1220, 671, 293, 2188, 327, 1886, 369, 447, 1882, 496, 275, 514, 199, 438, 18781, 5707, 1745, 1030, 25675, 571, 38199, 835, 374, 11630, 621, 8708, 382, 2632, 265, 2266, 2763, 19881, 199, 51, 537, 9026, 280, 558, 327, 500, 5088, 440, 3817, 8631, 915, 281, 2163, 3730, 489, 1358, 15507, 40301, 551, 463, 199, 2909, 400, 587, 1573, 1078, 275, 1535, 418, 564, 41108, 474, 3785, 2851, 509, 1205, 1108, 37523, 418, 9320, 1202, 199, 1314, 40568, 335, 9711, 527, 272, 1109, 3435, 639, 692, 508, 930, 12586, 3361, 606, 1802, 31314, 630, 10023, 494, 199, 39, 47264, 8962, 32243, 25938, 467, 371, 17348, 9822, 1096, 47886, 386, 1633, 5730, 335, 744, 400, 1740, 314, 4477, 199, 905, 605, 353, 683, 12727, 6406, 269, 977, 5980, 373, 4791, 17717, 3026, 20453, 959, 573, 407, 503, 35846, 199, 1002, 972, 1117, 366, 4029, 1930, 4844, 958, 18687, 1271, 1449, 902, 12408, 1013, 5822, 7987, 1667, 265, 500, 199, 1072, 1139, 1256, 422, 2412, 444, 298, 566, 335, 1958, 586, 12954, 515, 487, 1984, 377, 36410, 886, 318, 6332, 6729, 199, 51, 435, 35306, 7556, 32592, 574, 24299, 2763, 276, 1300, 3703, 1348, 356, 404, 400, 12158, 282, 554, 15746, 996, 321, 199, 4014, 875, 908, 8327, 10017, 1085, 841, 4004, 708, 285, 3874, 3030, 25137, 32574, 830, 28949, 35981, 55, 199, 5659, 387, 2071, 18039, 9765, 551, 406, 895, 282, 9365, 325, 1058, 1966, 16505, 4454, 15431, 538, 321, 5248, 263, 199, 264, 5545, 6644, 285, 537, 464, 1384, 7431, 4290, 318, 930, 15626, 704, 259, 1029, 13596, 561, 1588, 265, 1709, 54, 199, 2449, 358, 23336, 1438, 370, 744, 272, 420, 432, 1201, 6166, 398, 474, 415, 301, 579, 444, 881, 537, 29649, 389, 912, 199, 43732, 1103, 323, 9871, 494, 9080, 738, 1765, 290, 473, 2331, 504, 300, 5121, 655, 551, 1989, 12296, 346, 430, 9147, 199, 1328, 3263, 417, 199, 0, 199, 1271, 381, 1049, 10969, 452, 1838, 1042, 1988, 13979, 688, 7318, 450, 283, 911, 30854, 2447, 6540, 11085, 592, 404, 199, 1596, 48631, 640, 1466, 581, 917, 750, 1172, 9952, 48775, 485, 493, 20736, 1305, 8173, 1342, 286, 443, 19631, 741, 271, 199, 44, 6011, 26409, 12751, 1037, 296, 442, 17259, 814, 316, 508, 3420, 578, 17876, 8144, 4402, 1845, 5443, 567, 321, 199, 35166, 2753, 5044, 4762, 1071, 354, 3113, 1276, 6225, 1304, 4565, 387, 2515, 327, 5066, 1255, 383, 425, 15995, 670, 199, 1519, 350, 50249, 632, 323, 16596, 367, 424, 4737, 379, 9606, 294, 5418, 335, 4271, 1870, 7068, 7169, 3184, 380, 199, 576, 18122, 42173, 449, 580, 492, 875, 9199, 437, 496, 2316, 7810, 1223, 1066, 1939, 387, 1547, 8205, 282, 528, 1127, 199, 3123, 367, 19228, 267, 22655, 285, 33178, 3854, 367, 920, 1483, 1000, 300, 1178, 705, 409, 3171, 14138, 1510, 4359, 199, 581, 18284, 10174, 315, 1052, 1296, 2123, 5487, 454, 575, 16040, 400, 11119, 391, 990, 315, 1339 ]

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

[ 45613, 297, 1063, 518, 199, 264, 526, 12794, 40327, 2231, 1020, 13485, 842, 328, 8649, 668, 46, 1141, 1921, 45218, 3410, 5217, 1198, 3395, 50, 199, 44, 2634, 752, 1018, 1042, 14661, 753, 365, 6259, 686, 36558, 27369, 1817, 4915, 3958, 8939, 1330, 10838, 40, 199, 1121, 40473, 629, 1703, 826, 397, 790, 2142, 3270, 21963, 1521, 410, 5594, 6293, 405, 20379, 40934, 21935, 875, 199, 321, 13120, 1170, 7238, 3682, 300, 657, 42881, 23201, 4735, 12775, 295, 1038, 518, 390, 1142, 270, 7226, 364, 28616, 199, 844, 12905, 1584, 1281, 1249, 257, 1516, 292, 2081, 270, 11290, 457, 398, 1581, 678, 7916, 1532, 1417, 515, 328, 2079, 52, 199, 9369, 351, 433, 420, 2364, 509, 1832, 1746, 3883, 5480, 4015, 1697, 599, 374, 434, 1770, 1448, 14248, 1102, 457, 344, 433, 199, 417, 587, 24971, 4965, 26020, 1918, 258, 822, 1237, 9166, 2108, 630, 373, 653, 12088, 4631, 675, 8653, 1267, 199, 1835, 31763, 1376, 1078, 263, 1078, 345, 3584, 48089, 984, 1368, 17103, 1864, 28577, 1100, 2344, 9861, 9483, 199, 759, 18520, 548, 3773, 1434, 4829, 669, 445, 22896, 322, 753, 420, 2004, 359, 1305, 1531, 293, 520, 287, 485, 351, 442, 199, 1360, 552, 9196, 340, 1630, 405, 35121, 3655, 5713, 408, 4037, 36126, 2049, 1726, 48, 858, 10511, 318, 2347, 337, 199, 44, 821, 1263, 364, 18093, 996, 9373, 1075, 393, 1868, 5165, 491, 2801, 44126, 2340, 405, 489, 657, 760, 368, 861, 199, 2379, 2136, 9880, 199, 0, 199, 662, 34426, 435, 289, 583, 21175, 391, 433, 2967, 36478, 392, 2400, 828, 408, 579, 654, 15619, 612, 483, 374, 10120, 282, 199, 4749, 1954, 759, 2296, 554, 2005, 1118, 274, 613, 17784, 2141, 551, 25344, 2223, 612, 9359, 43300, 434, 2717, 20344, 199, 37098, 741, 279, 788, 1902, 2245, 301, 512, 2580, 29199, 11921, 699, 335, 961, 612, 395, 41880, 269, 31320, 474, 348, 544, 199, 323, 453, 3077, 791, 288, 12546, 36273, 6018, 595, 331, 636, 669, 275, 749, 6229, 335, 882, 390, 462, 690, 2771, 315, 42325, 199, 927, 1432, 31276, 1875, 674, 15226, 497, 2477, 449, 3916, 422, 22651, 550, 2469, 553, 288, 1987, 1328, 752, 464, 511, 199, 12290, 504, 1200, 12939, 485, 27917, 8862, 8428, 18274, 403, 533, 677, 552, 573, 3347, 1227, 7778, 1155, 354, 499, 199, 36, 3556, 379, 1311, 400, 1180, 1589, 19521, 1735, 356, 1664, 416, 31202, 2755, 337, 1984, 6690, 398, 937, 9658, 7591, 199, 464, 673, 3848, 428, 1940, 260, 795, 334, 1219, 23797, 331, 9492, 11714, 664, 2299, 2781, 4446, 1241, 21724, 325, 199, 24541, 14796, 3715, 1402, 2002, 327, 1842, 1073, 406, 1248, 314, 35116, 21125, 669, 390, 2002, 445, 652, 351, 1119, 278, 199, 832, 369, 4376, 514, 4474, 1069, 389, 1418, 325, 737, 1627, 343, 1382, 1258, 2477, 2258, 15001, 333, 668, 686, 876, 199, 9625, 346, 1125, 565, 14302, 2199, 15485, 14736, 383, 413, 2206, 320, 895, 2691, 47874, 532, 1965, 12857, 828, 24106, 199, 3172, 4409, 3258, 267, 609, 325, 437, 3352, 330, 2526, 4027, 898, 13766, 8396, 11078, 433, 425, 2132, 11650, 1118, 542, 199, 21384, 412, 4390, 1958 ]

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

[ 324, 3238, 3486, 5691, 37638, 1163, 439, 34467, 358, 613, 55, 616, 417, 485, 366, 24586, 38933, 199, 2930, 12033, 5942, 1225, 8511, 4912, 1654, 513, 1341, 26102, 609, 30182, 9685, 20209, 1944, 345, 2753, 707, 199, 380, 557, 718, 379, 1677, 899, 262, 3003, 2093, 380, 575, 7412, 1212, 552, 16926, 611, 351, 713, 353, 625, 17063, 494, 199, 267, 997, 360, 636, 398, 4443, 265, 1801, 199, 0, 199, 432, 695, 321, 2578, 36459, 31282, 1581, 354, 4543, 320, 1269, 336, 6885, 279, 837, 767, 9549, 576, 291, 6491, 279, 199, 466, 504, 669, 1224, 10246, 3116, 269, 545, 967, 2545, 967, 318, 1226, 2379, 15333, 18067, 296, 1416, 1218, 2860, 199, 21200, 612, 5484, 1207, 798, 12459, 20712, 350, 1892, 625, 5304, 751, 19562, 12250, 998, 39460, 754, 277, 1703, 199, 543, 441, 4662, 8514, 387, 2092, 264, 4692, 1414, 273, 790, 262, 2461, 488, 6043, 412, 2319, 1259, 3192, 388, 13478, 199, 257, 802, 266, 2024, 294, 1335, 12444, 271, 1919, 15972, 2749, 27259, 10187, 415, 17611, 1852, 590, 346, 8420, 28925, 199, 346, 9023, 1265, 20759, 17490, 612, 329, 9058, 3214, 329, 1079, 1484, 431, 4016, 731, 5733, 354, 782, 1278, 28833, 199, 31693, 2391, 457, 27147, 1472, 1481, 6161, 5482, 1779, 1700, 17733, 599, 3410, 428, 326, 30294, 4576, 397, 871, 54, 199, 2804, 495, 437, 931, 1327, 495, 731, 624, 57, 1777, 401, 382, 13869, 21093, 367, 2689, 12200, 332, 2405, 11741, 5973, 292, 199, 292, 2366, 13343, 1540, 35482, 670, 23248, 284, 7665, 536, 694, 2489, 3323, 2670, 269, 1957, 538, 8600, 10440, 199, 6595, 993, 994, 5949, 1281, 646, 276, 446, 823, 301, 1117, 322, 925, 422, 4621, 682, 16339, 4366, 3964, 701, 199, 2350, 1666, 1848, 30427, 1190, 636, 318, 1490, 454, 16176, 325, 440, 2024, 497, 1028, 314, 425, 5650, 351, 1563, 368, 37786, 199, 21201, 1014, 10291, 1446, 14620, 5449, 18213, 47710, 738, 426, 1780, 581, 3881, 3859, 380, 2093, 398, 514, 3922, 33, 199, 23810, 380, 1265, 3066, 652, 37618, 30528, 10910, 5687, 404, 812, 259, 1108, 383, 407, 378, 489, 987, 378, 12818, 325, 199, 440, 23393, 399, 1301, 402, 939, 48567, 552, 352, 2687, 15586, 1461, 17740, 286, 1772, 289, 385, 949, 8056, 361, 4288, 49, 199, 1880, 1380, 751, 400, 23856, 476, 771, 4523, 1391, 587, 8468, 912, 379, 5082, 1200, 419, 25779, 746, 341, 1682, 36, 199, 264, 999, 10582, 435, 2013, 492, 1635, 1184, 347, 6683, 199, 0, 199, 339, 4286, 496, 387, 617, 349, 494, 20336, 3062, 5545, 16983, 396, 35503, 985, 272, 958, 3479, 3479, 3479, 2117, 199, 367, 6911, 16024, 1667, 953, 1080, 2195, 2187, 1220, 357, 472, 19718, 12741, 494, 935, 26231, 8874, 620, 1495, 41, 199, 1894, 391, 3491, 18606, 1612, 4032, 1071, 37341, 672, 388, 413, 2502, 20333, 3855, 9969, 8746, 379, 43309, 447, 199, 31392, 328, 7972, 5196, 358, 4245, 320, 886, 10743, 1000, 376, 604, 8019, 18523, 43467, 427, 627, 484, 3862, 41, 199, 16987, 3239, 10094, 633, 492, 16207, 2064, 299, 1619, 278, 10889, 2595, 15097, 474, 2238, 1737, 323, 1397, 2145, 291, 199, 2073 ]

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

[ 4955, 4955, 281, 1505, 1212, 681, 410, 391, 2768, 12018, 515, 7401, 34903, 390, 1476, 34011, 3699, 333, 420, 199, 1514, 32668, 741, 375, 630, 558, 29261, 524, 4021, 1166, 7706, 41025, 19003, 1626, 45502, 2188, 359, 30985, 1379, 199, 1235, 1988, 1625, 10165, 40461, 1065, 12660, 3304, 2590, 26695, 703, 730, 670, 265, 1735, 7424, 612, 9463, 4176, 199, 37, 14918, 8188, 599, 4585, 12762, 395, 34680, 345, 1594, 374, 9688, 33071, 1590, 8666, 873, 402, 1547, 5419, 331, 199, 44, 3321, 15462, 455, 638, 572, 916, 1500, 355, 1510, 32425, 1641, 713, 973, 1772, 8167, 792, 2527, 23750, 3626, 199, 448, 8115, 267, 2123, 31695, 3724, 17810, 673, 17623, 1557, 525, 398, 1265, 275, 615, 1922, 279, 2109, 1737, 2535, 5884, 199, 774, 17664, 52, 1786, 300, 14340, 24591, 341, 466, 739, 431, 658, 1220, 57, 1800, 367, 984, 4777, 444, 4111, 726, 370, 429, 199, 421, 2120, 4839, 449, 2254, 343, 1772, 9093, 274, 470, 1495, 276, 1189, 466, 313, 3269, 18171, 368, 14475, 589, 8846, 199, 1985, 1013, 24396, 7078, 2996, 348, 439, 24327, 1075, 1044, 317, 24394, 470, 28288, 13098, 856, 28956, 780, 470, 779, 199, 257, 547, 8370, 493, 355, 9743, 33061, 9323, 369, 946, 9201, 411, 2298, 1084, 585, 729, 7325, 1097, 313, 1252, 385, 199, 18584, 973, 14764, 2639, 22295, 1114, 38, 1221, 352, 10517, 484, 12646, 396, 1972, 3082, 29074, 1339, 30543, 24039, 199, 369, 12781, 3152, 46691, 4698, 2602, 443, 918, 1239, 554, 16400, 898, 7636, 559, 5888, 778, 13798, 1531, 561, 18382, 199, 1835, 352, 1088, 1185, 12267, 348, 35892, 22647, 1815, 390, 643, 4235, 404, 535, 693, 13513, 5383, 1363, 6000, 8725, 199, 323, 13880, 380, 432, 499, 23999, 24319, 10770, 13092, 6120, 283, 1091, 4199, 417, 10896, 20631, 860, 15652, 344, 199, 528, 199, 0, 199, 615, 3442, 338, 476, 803, 3135, 1675, 456, 547, 5519, 300, 2338, 16426, 18941, 1293, 945, 985, 2268, 375, 12990, 273, 199, 12210, 930, 916, 4074, 1035, 6100, 2441, 12034, 44572, 1529, 394, 359, 296, 1752, 9174, 1823, 5703, 12033, 33, 199, 276, 1042, 503, 539, 8235, 1010, 44696, 18861, 1470, 365, 813, 2257, 2395, 7233, 367, 1648, 856, 340, 1376, 24325, 199, 5134, 3607, 855, 281, 4230, 1344, 8391, 583, 7551, 7775, 328, 1417, 279, 7708, 463, 290, 1398, 8300, 7264, 4073, 199, 394, 4560, 4690, 417, 1961, 313, 660, 6932, 32481, 821, 784, 364, 506, 351, 539, 489, 3465, 272, 1276, 7040, 14889, 199, 611, 19649, 524, 397, 1125, 2586, 473, 10017, 1447, 2803, 300, 3965, 376, 553, 12818, 48067, 921, 336, 2812, 509, 7441, 199, 3231, 533, 2019, 1657, 48, 8235, 17334, 29108, 5961, 28914, 6141, 6778, 995, 646, 7415, 1682, 30751, 29251, 520, 199, 1316, 329, 1066, 2485, 390, 30872, 32582, 12512, 749, 793, 264, 1198, 390, 1657, 323, 875, 2895, 10674, 1859, 4323, 199, 435, 19363, 2084, 1013, 35195, 2098, 780, 330, 11065, 856, 24973, 990, 2942, 5287, 11085, 1664, 387, 3736, 48819, 199, 7523, 540, 1800, 13016, 935, 564, 26284, 357, 435, 38131, 5112, 8184, 1114, 25090, 355, 2375, 366, 629, 316, 1131, 11651, 199, 620, 528 ]

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

[ 3283, 315, 1248, 503, 2190, 585, 3262, 41385, 1408, 337, 592, 2376, 423, 771, 12714, 1679, 1363, 461, 257, 199, 12164, 1772, 8910, 320, 32124, 417, 1400, 711, 3655, 24394, 6228, 263, 23739, 16775, 359, 819, 2292, 1082, 443, 199, 1344, 21502, 2598, 1857, 8952, 1050, 28231, 13158, 259, 23739, 382, 14591, 819, 377, 754, 531, 376, 1773, 297, 2598, 199, 1857, 2287, 1050, 28231, 1550, 335, 7343, 757, 8705, 853, 365, 451, 43, 1396, 44001, 579, 8361, 342, 1913, 494, 2828, 199, 353, 603, 2728, 2298, 7325, 446, 1064, 445, 15246, 26318, 599, 422, 12191, 2134, 7710, 30299, 617, 18758, 470, 3684, 199, 39, 10150, 320, 2155, 17830, 45270, 1358, 1518, 5544, 1105, 660, 3998, 20489, 558, 21081, 4786, 36150, 632, 14507, 199, 611, 337, 10612, 762, 13562, 563, 21131, 298, 18668, 1534, 528, 7520, 1037, 399, 556, 260, 666, 262, 621, 2064, 23883, 199, 36673, 399, 5983, 784, 30355, 873, 41094, 328, 1729, 34726, 47412, 1654, 28081, 476, 541, 5264, 44737, 2138, 46, 199, 2578, 352, 3256, 387, 20026, 1822, 1300, 35311, 1794, 372, 1418, 313, 938, 352, 1514, 462, 7594, 669, 12101, 3255, 367, 199, 428, 279, 851, 499, 199, 0, 199, 2426, 47974, 1141, 312, 2198, 286, 1138, 373, 605, 347, 2449, 410, 850, 481, 319, 31048, 1538, 348, 1060, 6160, 719, 459, 199, 5898, 408, 3880, 486, 1129, 356, 621, 15845, 1104, 1518, 29748, 24102, 1927, 799, 381, 669, 382, 1268, 8525, 33, 199, 38, 985, 17387, 4842, 358, 965, 428, 702, 46397, 813, 8708, 1053, 1178, 475, 1847, 385, 2045, 618, 3269, 300, 586, 199, 293, 961, 17757, 826, 10807, 1065, 624, 334, 2039, 1280, 393, 1104, 281, 2098, 362, 22323, 262, 1578, 5500, 546, 295, 199, 19014, 300, 11917, 401, 21782, 2809, 836, 701, 328, 489, 361, 1985, 491, 1042, 595, 15837, 275, 11578, 3423, 740, 392, 45, 199, 1835, 297, 2839, 14501, 7442, 7939, 1161, 1145, 2029, 321, 12695, 2241, 1988, 12433, 300, 4927, 259, 984, 927, 320, 199, 275, 11674, 675, 347, 9458, 512, 4724, 2147, 28037, 11026, 830, 416, 4950, 21980, 287, 744, 292, 9892, 20020, 199, 370, 807, 37641, 5334, 1373, 362, 4563, 2034, 257, 887, 315, 454, 510, 4259, 456, 16930, 684, 507, 549, 24098, 392, 199, 51, 11801, 519, 689, 4859, 4597, 12992, 1497, 9556, 2220, 885, 20329, 434, 746, 4115, 1942, 4741, 8925, 675, 199, 6546, 4991, 523, 2792, 8669, 264, 1154, 2630, 656, 324, 5234, 1071, 15085, 880, 900, 379, 30544, 866, 312, 11436, 199, 268, 1489, 1022, 15543, 286, 531, 346, 786, 2829, 714, 573, 281, 2870, 461, 16236, 584, 404, 28389, 496, 1286, 401, 1729, 199, 2763, 294, 1220, 330, 5580, 1352, 365, 420, 13293, 9515, 36722, 1261, 1041, 287, 497, 510, 3043, 273, 699, 32911, 199, 483, 6084, 382, 3183, 659, 321, 971, 6540, 834, 7681, 405, 569, 4543, 370, 2860, 1396, 5454, 18317, 4590, 12336, 199, 426, 6382, 1497, 369, 988, 521, 283, 780, 462, 4777, 1135, 36266, 790, 1761, 414, 48715, 604, 396, 8251, 2989, 775, 337, 199, 2220, 1311, 369, 8442, 495, 4195, 36308, 48365, 1600, 269, 2273, 3636, 2053, 1241 ]