Search is not available for this dataset
attention_mask
sequencelengths
512
512
input_ids
sequencelengths
512
512
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 1339, 463, 533, 418, 3492, 35070, 1494, 11553, 1406, 954, 45878, 299, 341, 385, 1157, 15749, 10895, 970, 325, 6246, 49, 199, 2078, 320, 594, 16335, 3426, 1105, 31006, 264, 745, 13808, 435, 1593, 447, 11345, 761, 12613, 1078, 516, 2691, 3351, 199, 373, 398, 29153, 419, 1644, 487, 924, 2200, 6166, 14785, 1068, 2525, 474, 10679, 9141, 55, 2007, 8528, 1920, 279, 199, 1521, 1883, 1902, 26821, 9289, 720, 369, 1401, 264, 384, 9134, 872, 556, 10555, 16852, 566, 619, 280, 769, 4415, 199, 22887, 3370, 25194, 16601, 733, 321, 39004, 1337, 3253, 199, 0, 199, 18649, 533, 258, 812, 324, 5737, 31216, 957, 1259, 492, 30342, 360, 425, 599, 1632, 290, 1712, 1527, 19242, 463, 2313, 33, 199, 13253, 340, 1696, 391, 5830, 44551, 940, 259, 681, 602, 20775, 354, 3081, 428, 399, 657, 297, 1496, 289, 1207, 289, 583, 199, 553, 1228, 354, 1842, 22862, 2142, 1797, 371, 1000, 1376, 3282, 454, 703, 323, 199, 0, 199, 4622, 606, 4676, 1813, 6955, 344, 529, 343, 6818, 3790, 455, 21649, 554, 15768, 2222, 1712, 5808, 514, 4465, 269, 199, 1745, 9048, 1796, 413, 2073, 1074, 1700, 425, 454, 8091, 2707, 294, 1137, 372, 2235, 3232, 337, 1383, 287, 1554, 3335, 199, 44, 5635, 967, 35350, 469, 4044, 263, 1662, 2416, 812, 333, 1130, 448, 15539, 381, 43862, 1728, 386, 4170, 471, 35, 199, 0, 199, 419, 348, 1202, 32993, 639, 457, 18488, 994, 37936, 467, 11490, 8810, 2951, 11020, 805, 604, 4266, 696, 37584, 358, 199, 373, 882, 362, 399, 45245, 27172, 199, 0, 199, 2017, 263, 852, 1060, 324, 627, 19202, 343, 655, 4862, 709, 477, 26892, 529, 1632, 290, 1712, 344, 1104, 13968, 2313, 33, 199, 11915, 277, 19440, 1801, 274, 17429, 3415, 16281, 764, 407, 1745, 3081, 428, 399, 759, 1691, 281, 2025, 3705, 1032, 199, 37, 696, 2058, 1448, 9780, 427, 23076, 345, 2549, 1575, 2900, 454, 643, 319, 199, 0, 199, 2017, 263, 852, 1060, 324, 627, 19202, 343, 655, 4862, 709, 477, 26892, 529, 1632, 290, 1712, 344, 1104, 13968, 2313, 33, 199, 11915, 277, 19440, 1801, 1543, 1842, 3415, 19242, 764, 407, 1745, 3081, 428, 399, 759, 1691, 281, 2025, 3705, 1032, 199, 37, 696, 2058, 1448, 11906, 427, 23076, 345, 2549, 1575, 2900, 454, 643, 319, 199, 0, 199, 3249, 12069, 683, 21989, 627, 395, 39813, 552, 4862, 709, 477, 11970, 529, 1632, 290, 1712, 1459, 375, 13968, 2313, 33, 199, 274, 1387, 435, 1557, 391, 1222, 17429, 757, 1104, 45819, 324, 1968, 3081, 428, 399, 5198, 630, 282, 2025, 295, 1265, 41, 199, 37, 18596, 354, 421, 1502, 499, 9370, 344, 474, 1000, 1575, 17988, 43862, 724, 199, 0, 199, 14258, 11320, 627, 395, 43003, 552, 4862, 709, 477, 11970, 529, 1632, 290, 1712, 1459, 375, 12707, 2313, 3928, 334, 199, 761, 691, 364, 1222, 17429, 740, 1104, 5008, 321, 44582, 2760, 428, 399, 422, 1512, 1145, 2025, 295, 1265, 8408, 461, 199, 354, 421, 17366, 1872, 23076, 341, 1334, 1575, 17988, 454, 643, 323, 199, 0, 199, 2017, 4045, 4768 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1343, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 385, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 45011, 955, 325, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 824, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 315, 17506, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 2885, 314, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1550, 586, 35437, 380, 3691, 2424, 21389, 8486, 32325, 677, 350, 7672, 199, 338, 21961, 9871, 440, 394, 199, 0, 199, 1100, 411, 1880, 560, 4049, 1989, 331, 4125, 12265, 997, 640, 2131, 6984, 1259, 9032, 579, 26403, 564, 24976, 2301, 199, 1520, 390, 842, 969, 38123, 26927, 1121, 7522, 821, 417, 12235, 426, 881, 470, 6715, 1416, 970, 5454, 9271, 199, 417, 16320, 1720, 385, 750, 654, 454, 8375, 716, 461, 331, 1792, 378, 368, 981, 359, 2617, 371, 1072, 6680, 1394, 1816, 199, 44, 13483, 1847, 9058, 341, 25594, 1357, 563, 1972, 1157, 4010, 724, 9042, 528, 11131, 31249, 12689, 33896, 603, 199, 2390, 455, 447, 374, 840, 274, 2502, 2515, 398, 2060, 19956, 901, 15953, 9485, 1408, 199, 0, 199, 1100, 409, 432, 6363, 2949, 41802, 11043, 2335, 844, 2880, 41241, 1453, 1055, 760, 411, 281, 2204, 390, 7001, 199, 445, 5778, 2349, 3293, 1815, 378, 1535, 27153, 1445, 827, 825, 1439, 679, 43345, 328, 838, 315, 11225, 300, 612, 2464, 199, 18398, 277, 482, 21142, 13031, 2013, 1280, 10220, 34206, 2628, 1065, 349, 2464, 3676, 48480, 388, 4290, 1065, 4851, 199, 1496, 2891, 269, 1606, 1061, 13817, 397, 6141, 538, 2610, 4491, 400, 12757, 1053, 8017, 299, 710, 329, 1529, 300, 500, 33, 199, 372, 1428, 33725, 284, 5833, 1471, 419, 3262, 1585, 57, 199, 0, 199, 21552, 30860, 326, 1632, 274, 3044, 264, 2275, 619, 7872, 259, 3838, 341, 2960, 2662, 22007, 2463, 405, 372, 1765, 199, 23183, 40063, 390, 6811, 34618, 1710, 295, 1443, 589, 33390, 1227, 369, 7231, 325, 12527, 1504, 323, 482, 9383, 199, 789, 362, 26610, 691, 4548, 345, 747, 362, 1121, 9102, 39494, 13212, 467, 2011, 17669, 275, 1254, 1093, 3964, 199, 12130, 28767, 2013, 18442, 36237, 5501, 580, 295, 32676, 497, 10887, 2083, 2825, 273, 643, 11131, 284, 785, 349, 52, 199, 1935, 3750, 2836, 28332, 753, 278, 3116, 406, 771, 4242, 9446, 10391, 5485, 398, 17283, 1110, 199, 0, 199, 5904, 292, 2003, 1924, 257, 808, 363, 1005, 781, 284, 3313, 815, 346, 1921, 346, 1178, 19947, 6645, 2284, 34742, 547, 199, 2231, 1400, 299, 468, 4658, 324, 3513, 2160, 364, 2789, 19988, 13998, 839, 553, 442, 294, 2554, 6887, 1458, 821, 199, 51, 3688, 2288, 41031, 35496, 2102, 313, 4487, 520, 291, 874, 417, 1096, 330, 668, 478, 8918, 1312, 529, 4563, 12852, 199, 594, 3791, 364, 792, 1900, 40, 1437, 9222, 1789, 343, 3306, 43105, 811, 990, 464, 371, 6163, 321, 388, 1470, 4588, 199, 781, 409, 1921, 352, 595, 299, 478, 3669, 1482, 352, 5990, 612, 18768, 374, 3822, 263, 1581, 406, 2169, 3610, 1698, 1980, 199, 480, 1518, 7986, 2390, 288, 199, 0, 199, 2381, 1355, 634, 1919, 277, 1750, 325, 2755, 389, 923, 10281, 38593, 8174, 802, 26820, 595, 355, 1956, 992, 3897, 199, 674, 3523, 26569, 14558, 6914, 2303, 349, 1325, 358, 955, 939, 4476, 332, 4283, 947, 17993, 1718, 295, 500, 199, 484, 3170, 321, 19321, 450, 329, 1274, 3837, 430, 14759, 5506, 373, 733, 5046, 658, 902, 355, 427, 378, 3184, 49, 199, 11318, 1593, 267, 2248, 850, 19259, 36542, 472, 488 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 498, 378, 3556, 429, 7021, 41306, 34622, 808, 1111, 954, 3022, 1561, 347, 5192, 269, 199, 9859, 6205, 752, 517, 43410, 3124, 700, 439, 2930, 515, 8653, 683, 2580, 290, 10258, 2211, 1112, 438, 14906, 199, 3697, 285, 4955, 29430, 44929, 560, 259, 1050, 330, 10362, 39252, 3454, 642, 326, 1610, 282, 733, 314, 802, 41, 199, 416, 738, 1847, 288, 22072, 3906, 817, 1082, 314, 3792, 649, 1765, 6495, 29157, 510, 643, 20067, 199, 0, 199, 432, 1452, 25152, 843, 28724, 42295, 1282, 6563, 594, 20066, 1492, 333, 913, 3358, 322, 635, 21910, 584, 1367, 199, 295, 482, 643, 292, 3041, 1086, 321, 638, 8988, 627, 259, 1301, 329, 560, 301, 8274, 3523, 9721, 45581, 31555, 569, 199, 3120, 1991, 1394, 534, 3078, 301, 2552, 614, 3287, 1770, 47890, 595, 5121, 547, 633, 14339, 2068, 533, 7195, 33, 199, 24914, 25050, 1432, 16646, 263, 1595, 6829, 270, 545, 259, 1225, 291, 2894, 439, 13908, 6388, 639, 1527, 613, 916, 199, 2247, 964, 438, 1290, 295, 637, 3058, 41753, 709, 6377, 1840, 290, 706, 20254, 927, 418, 9527, 1336, 25972, 199, 20281, 6092, 6596, 745, 2281, 631, 325, 5077, 501, 3263, 40661, 1876, 992, 264, 3953, 18629, 484, 584, 703, 199, 51, 430, 603, 278, 627, 258, 590, 377, 2294, 4025, 11319, 1796, 199, 0, 199, 445, 402, 439, 660, 274, 503, 5066, 604, 362, 1761, 28571, 318, 2772, 348, 7464, 289, 5369, 1120, 352, 969, 4640, 2366, 276, 199, 1078, 349, 827, 479, 24426, 1974, 16037, 1590, 827, 825, 448, 1924, 36, 1007, 381, 610, 14595, 334, 439, 2569, 353, 12931, 199, 28455, 729, 1402, 380, 862, 13897, 3482, 526, 6607, 1138, 329, 1346, 299, 33884, 499, 388, 17243, 1208, 41649, 7866, 199, 4271, 373, 1187, 4437, 444, 26157, 316, 606, 442, 1050, 324, 2633, 329, 1053, 55, 2095, 27280, 33108, 284, 2379, 406, 5507, 199, 8411, 1121, 385, 34609, 27734, 8554, 257, 14694, 956, 1720, 199, 0, 199, 2506, 431, 1385, 273, 1691, 40928, 799, 16559, 357, 693, 39993, 717, 1526, 742, 1488, 1238, 3700, 524, 1518, 394, 199, 360, 437, 390, 48255, 430, 1125, 1495, 5200, 11780, 729, 349, 370, 45003, 2771, 21355, 288, 551, 10192, 601, 1191, 33, 199, 271, 7763, 13060, 4548, 312, 747, 833, 2411, 508, 409, 10229, 4279, 467, 26366, 34402, 1056, 4083, 3807, 1756, 199, 1094, 429, 5212, 1321, 259, 3479, 458, 1109, 2141, 299, 529, 1157, 527, 888, 20357, 2461, 428, 1053, 568, 673, 280, 391, 199, 299, 15216, 980, 361, 1666, 271, 2208, 325, 729, 679, 9043, 734, 290, 1291, 1187, 675, 15297, 199, 0, 199, 482, 4507, 920, 288, 3662, 17985, 371, 1461, 279, 1514, 336, 1157, 446, 380, 1963, 391, 1975, 423, 11263, 360, 1670, 15297, 199, 39, 633, 26158, 573, 357, 457, 406, 3350, 9958, 564, 5500, 22245, 2331, 2579, 6314, 49376, 7735, 328, 1901, 973, 199, 1593, 3262, 1435, 48882, 465, 15710, 331, 12697, 7043, 35573, 1883, 323, 2280, 452, 424, 435, 1317, 30479, 1321, 7684, 199, 337, 2014, 618, 8921, 281, 737, 643, 337, 853, 24848, 1317, 370, 2407, 277, 2826, 3252, 14477, 599, 5087, 760, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 25159, 384, 395, 674, 36319, 978, 19028, 37851, 3503, 764, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 10118, 29650, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 1056, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 344, 18178, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 28152, 620, 1493, 1098, 374, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 1088, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 30005, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 377, 37297, 395, 674, 36319, 1473, 16370, 786, 325, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 315, 17506, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 385, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 341, 415, 10287, 350, 4274, 199, 1363, 3679, 22413, 4137, 2689, 10824, 485, 493, 406, 22406, 45340, 435, 3202, 1892, 280, 3111, 24318, 5037, 283, 1114, 199, 504, 46413, 378, 2004, 769, 349, 1469, 7812, 296, 455, 324, 1153, 435, 984, 263, 1318, 951, 283, 592, 857, 342, 970, 48, 199, 4741, 355, 3283, 8066, 6606, 631, 2300, 349, 1053, 776, 882, 15901, 691, 37737, 34958, 2512, 909, 970, 380, 199, 280, 1151, 317, 1394, 406, 7834, 866, 962, 38730, 7645, 29871, 389, 199, 0, 199, 31817, 690, 21381, 430, 596, 2412, 410, 362, 2384, 49211, 2882, 315, 848, 2171, 581, 341, 415, 10287, 350, 4274, 199, 1363, 3679, 22413, 4137, 2689, 10824, 485, 493, 406, 22406, 45340, 435, 3202, 1892, 280, 3111, 24318, 5037, 283, 1114, 199, 504, 46413, 378, 2004, 769, 349, 1469, 7812, 296, 455, 324, 1153, 435, 984, 263, 1318, 951, 283, 592, 857, 342, 970, 48, 199, 4741, 355, 2360, 8066, 5450, 631, 2300, 349, 1053, 776, 882, 15901, 691, 37737, 34958, 2512, 909, 970, 380, 199, 280, 1151, 317, 1394, 389, 7834, 866, 962, 38730, 7645, 29871, 389, 199, 0, 199, 1100, 10797, 47613, 259, 645, 498, 259, 1012, 274, 2498, 296, 1392, 481, 373, 8103, 6030, 1242, 473, 402, 1248, 36285, 199, 41074, 3564, 401, 2773, 49, 1952, 683, 4532, 382, 1381, 425, 376, 1823, 257, 562, 277, 667, 364, 9342, 834, 6823, 292, 199, 316, 435, 6497, 9074, 322, 1260, 384, 797, 535, 739, 583, 30551, 2092, 536, 364, 10885, 2253, 299, 733, 2957, 2997, 335, 199, 44, 1514, 15479, 5804, 822, 579, 808, 332, 933, 398, 1294, 1257, 864, 12920, 1296, 366, 1053, 710, 10264, 370, 19316, 199, 2984, 388, 30969, 4360, 502, 1121, 300, 30858, 6963, 5699, 1294, 983, 819, 3851, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 360, 26830, 199, 37, 502, 8188, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 1064, 259, 1224, 300, 1721, 268, 528, 3735, 199, 5000, 320, 962, 749, 316, 1781, 199, 0, 199, 48805, 2728, 420, 891, 270, 5590, 2694, 11313, 1331, 341, 8701, 2108, 341, 436, 620, 2171, 314, 1076, 4640, 393, 199, 39, 20043, 1746, 1432, 20435, 378, 1917, 16037, 766, 827, 31882, 509, 1081, 7576, 354, 610, 315, 1759, 5576, 3638, 268, 199, 3184, 360, 1424, 1402, 380, 862, 13897, 3678, 468, 18756, 1070, 349, 3434, 21214, 294, 499, 388, 17243, 1178, 10580, 199, 326, 2363, 2757, 896, 7803, 371, 1959, 1574, 594, 3406, 640, 348, 1978, 1754, 43328, 25426, 38145, 1341, 284, 2628, 406, 199, 324, 1458, 322, 3552, 526, 21054, 373, 6027, 961, 380, 716, 8997, 4156, 199, 0, 199, 2693, 5151, 420, 2754, 2605, 799, 655, 11436, 835, 5675, 487, 751, 30564, 18645, 1595, 1472, 50051, 972, 52 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12692, 27028, 828, 314, 397, 614, 18240, 858, 334, 4466, 29513, 479, 643, 963, 676, 29199, 3942, 261, 199, 4222, 24359, 1476, 14602, 3996, 15738, 15930, 199, 0, 199, 38816, 769, 41911, 727, 609, 415, 656, 325, 1976, 17928, 516, 975, 2575, 2734, 1587, 4378, 37270, 337, 28171, 199, 489, 782, 294, 942, 452, 6847, 403, 9675, 297, 49503, 2947, 28065, 1509, 261, 994, 579, 500, 34653, 3704, 273, 199, 46, 1202, 3502, 5973, 2737, 298, 1410, 9652, 1240, 5580, 430, 341, 320, 5506, 31731, 12061, 658, 4974, 681, 199, 542, 315, 38653, 4424, 900, 7934, 372, 1057, 300, 1365, 487, 30418, 466, 345, 2282, 286, 1156, 9792, 1188, 403, 199, 1653, 322, 827, 2043, 438, 15426, 1063, 4212, 39227, 514, 6295, 12640, 1168, 2802, 292, 15212, 582, 1477, 866, 199, 1469, 299, 31731, 3842, 16874, 776, 329, 762, 22134, 8619, 688, 334, 45673, 1530, 35956, 20302, 11521, 6174, 199, 44, 3289, 1276, 2068, 368, 581, 387, 1312, 312, 718, 1598, 417, 4849, 3983, 645, 3523, 8821, 259, 3150, 49900, 199, 6460, 1950, 1223, 6116, 1026, 8388, 1401, 8010, 2130, 18692, 661, 23416, 510, 2583, 565, 4225, 524, 9430, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 301, 7722, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 2260, 2076, 45827, 271, 527, 1218, 472, 373, 728, 1012, 294, 10886, 772, 28124, 792, 293, 3271, 296, 1123, 486, 909, 199, 2151, 2857, 349, 993, 13657, 4497, 492, 7970, 906, 295, 764, 52, 3117, 16966, 751, 360, 11392, 1119, 25956, 388, 199, 1108, 322, 17497, 375, 5746, 25405, 2868, 2556, 266, 2818, 444, 482, 355, 2497, 3216, 1447, 34491, 403, 372, 1649, 299, 199, 44, 15716, 619, 8845, 507, 584, 385, 447, 689, 543, 6652, 425, 21620, 383, 360, 6231, 823, 372, 1360, 374, 15428, 8609, 199, 44, 786, 823, 328, 762, 2539, 394, 10868, 747, 294, 478, 4859, 6957, 37349, 3123, 637, 2411, 543, 3247, 2537, 48, 199, 881, 447, 2584, 43379, 8236, 330, 471, 923, 312, 9146, 27775, 1053, 483, 17494, 355, 1025, 333, 652, 299, 424, 17916, 199, 2246, 441, 7363, 328, 1802, 525, 580, 273, 199, 0, 199, 33926, 1385, 898, 820, 313, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 278, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 683, 363, 3596, 199, 0, 199, 419, 33373, 1119, 1601, 8163, 22446, 5231, 1827, 11341, 601, 13167, 5229, 572, 280, 825, 4312, 693, 7828, 55, 199, 640, 337, 12601, 3975, 390, 764, 46165, 9617, 5473, 293, 1495, 871, 1636, 405, 8380, 372, 1594, 444, 1820, 724, 45, 199, 40935, 650, 3441, 1421, 23884, 26257, 1063, 264, 514, 11865, 6203, 10723, 331, 17658, 4991, 4816, 5080, 478, 199, 361, 3807, 1692, 301, 6628, 257, 740, 695, 943, 403, 6701, 388, 21046, 290, 735, 10571, 930, 636, 6505, 1048, 33, 199, 11001, 46997, 879, 1218, 356, 42181, 14995, 39202, 19473, 1033, 26465, 892, 887, 13075, 793, 29719, 404, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 2304, 12214, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 346, 899, 1110, 287, 1669, 373, 1076, 4640, 2553, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 381, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 1282, 1613, 352, 9728, 1416, 2966, 444, 24634, 394, 22622, 10298, 390, 427, 3775, 277, 517, 5200, 1290, 6687, 14656, 199, 405, 1604, 626, 6128, 707, 9840, 1662, 2079, 656, 281, 2023, 295, 28611, 9213, 575, 770, 281, 1677, 282, 4082, 1955, 377, 199, 590, 2894, 32897, 497, 24555, 22344, 434, 4785, 2320, 4078, 613, 375, 413, 545, 8400, 708, 677, 950, 332, 1584, 595, 33, 199, 330, 42560, 268, 1652, 572, 268, 20264, 661, 348, 780, 452, 535, 2707, 385, 11169, 3639, 199, 0, 199, 1367, 1423, 350, 584, 785, 267, 1315, 301, 727, 3894, 8555, 17882, 1097, 555, 1686, 6319, 700, 282, 1251, 581, 3147, 52, 199, 23687, 993, 4572, 11606, 3562, 1138, 262, 5496, 570, 26811, 36784, 1059, 7431, 287, 904, 381, 27494, 1024, 2704, 199, 39, 6365, 758, 371, 442, 404, 441, 14790, 390, 1919, 552, 28796, 1311, 2336, 1861, 264, 4614, 36891, 473, 706, 11916, 333, 199, 45167, 3773, 384, 634, 323, 12935, 1475, 316, 33475, 261, 634, 545, 5091, 454, 1486, 323, 910, 636, 17259, 1808, 41, 199, 44, 18823, 13255, 837, 289, 3247, 1141, 386, 4678, 263, 1662, 404, 16875, 929, 321, 32724, 32810, 8286, 432, 709, 49, 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 ]
[ 1007, 11097, 30655, 409, 1850, 298, 457, 1509, 574, 485, 29418, 9576, 370, 1392, 322, 746, 341, 802, 30971, 199, 11159, 649, 393, 12141, 1474, 2004, 13125, 1007, 359, 761, 575, 2268, 199, 0, 199, 339, 953, 1181, 634, 2494, 267, 2694, 426, 367, 1942, 886, 46678, 5284, 1325, 14666, 1478, 2171, 267, 7149, 341, 535, 199, 18548, 380, 4903, 11965, 24150, 484, 786, 394, 355, 16037, 3534, 34618, 925, 298, 819, 2253, 14479, 443, 4088, 199, 13069, 38277, 5723, 2551, 580, 520, 3770, 1388, 25654, 4548, 647, 19017, 45688, 3234, 750, 452, 301, 2740, 50, 199, 13153, 27950, 1789, 391, 1146, 6680, 383, 2244, 287, 2287, 498, 1052, 31578, 10317, 655, 2206, 359, 579, 1272, 12750, 199, 12124, 741, 380, 478, 5858, 1330, 35693, 843, 24909, 42181, 2223, 278, 23589, 439, 4344, 1860, 272, 1077, 8443, 54, 199, 29343, 5007, 199, 0, 199, 339, 2884, 14315, 637, 769, 278, 2431, 8131, 1134, 690, 12668, 1162, 381, 1185, 3830, 796, 261, 604, 1631, 351, 3428, 199, 3256, 431, 574, 3344, 2222, 611, 9021, 14736, 45036, 364, 758, 259, 1001, 3009, 13255, 811, 638, 3046, 4679, 199, 438, 1240, 1352, 630, 458, 1900, 284, 199, 0, 199, 475, 397, 20329, 8283, 19017, 5335, 480, 2303, 9858, 558, 4225, 464, 264, 5145, 800, 6240, 1807, 941, 431, 43, 199, 14582, 263, 643, 4782, 970, 757, 41816, 1795, 13278, 333, 1058, 458, 1057, 409, 7250, 2086, 24915, 13753, 2133, 54, 199, 44319, 278, 2411, 275, 961, 715, 7131, 402, 948, 566, 352, 2570, 398, 1446, 399, 5995, 833, 421, 5498, 1638, 314, 4421, 199, 1938, 391, 421, 5185, 396, 8617, 296, 1310, 5005, 33674, 911, 526, 24031, 3145, 283, 1507, 3339, 281, 749, 31860, 199, 51, 15246, 12905, 801, 281, 1178, 1171, 2186, 14810, 388, 10362, 840, 6612, 1027, 1436, 401, 562, 586, 290, 12057, 199, 39, 7226, 264, 658, 20104, 380, 513, 4071, 8564, 3534, 26780, 509, 35147, 2838, 10442, 563, 3978, 1059, 531, 7493, 199, 2520, 2703, 199, 0, 199, 7852, 32070, 493, 13255, 1307, 14733, 455, 5034, 43355, 1502, 344, 1788, 278, 1579, 4798, 11708, 427, 41483, 1655, 199, 43, 4631, 974, 12504, 586, 42599, 2274, 3981, 18750, 338, 1626, 346, 1887, 428, 47603, 548, 300, 1778, 346, 431, 2703, 199, 1519, 673, 459, 411, 2865, 14708, 541, 404, 2503, 30119, 1431, 2135, 33183, 671, 285, 1004, 3237, 24207, 512, 835, 263, 199, 1125, 4190, 40858, 2633, 13921, 296, 511, 362, 18111, 1607, 386, 1459, 263, 1068, 361, 18571, 2405, 1713, 5000, 9681, 199, 329, 1240, 328, 2056, 28244, 477, 199, 0, 199, 1753, 20116, 642, 727, 1057, 518, 2848, 2996, 2314, 406, 14367, 1489, 7452, 339, 579, 636, 45358, 3903, 416, 344, 199, 374, 767, 838, 1127, 299, 2481, 329, 3543, 30934, 945, 354, 4516, 468, 420, 11540, 435, 1909, 16398, 460, 3245, 7582, 199, 16164, 380, 635, 425, 42177, 502, 27529, 6476, 437, 2988, 271, 2475, 479, 4654, 593, 2281, 498, 10949, 32905, 1377, 199, 10018, 1402, 614, 730, 3147, 6773, 2294, 260, 1746, 22205, 424, 2296, 633, 834, 3738, 13709, 370, 666, 416, 411, 3066, 199, 37, 23224, 1174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 613, 315, 14795, 1041, 564, 398, 1131, 44701, 1833, 199, 271, 6043, 4430, 672, 8920, 1060, 1223, 383, 16890, 1469, 318, 9293, 466, 55, 720, 868, 43132, 492, 7297, 857, 484, 199, 1369, 507, 1347, 31943, 4419, 42058, 23436, 2338, 1216, 284, 2574, 1287, 1341, 290, 2379, 712, 1885, 354, 1057, 1376, 350, 199, 500, 32544, 25209, 3169, 525, 13550, 4887, 46, 199, 0, 199, 12078, 18778, 13820, 1267, 465, 592, 42204, 1484, 1062, 42756, 11485, 4066, 597, 57, 569, 415, 1452, 1187, 929, 519, 199, 273, 613, 294, 1287, 1859, 502, 627, 257, 1601, 812, 288, 7391, 8229, 339, 1304, 1734, 10399, 325, 465, 1757, 14874, 1756, 199, 5544, 1379, 377, 514, 504, 4135, 5928, 284, 465, 9724, 747, 6415, 1942, 955, 411, 978, 322, 19123, 675, 3642, 199, 20064, 19400, 2152, 1154, 16461, 1762, 47427, 615, 465, 592, 920, 779, 964, 11004, 263, 1057, 1297, 583, 329, 26944, 199, 417, 1001, 1955, 264, 2781, 28123, 633, 365, 27567, 3254, 480, 20072, 1263, 10584, 11508, 4268, 392, 542, 742, 257, 199, 3569, 5996, 1112, 2693, 10239, 1034, 11966, 20780, 13562, 2173, 10274, 299, 555, 2093, 3439, 339, 5167, 9472, 199, 10677, 1473, 651, 12199, 24478, 435, 1457, 746, 1119, 52, 199, 0, 199, 1416, 2966, 444, 24634, 394, 12464, 10298, 390, 427, 3775, 277, 517, 5200, 1290, 6687, 24649, 515, 323, 626, 332, 1889, 199, 44, 9840, 1662, 2079, 656, 281, 2023, 295, 28611, 9213, 575, 770, 281, 1677, 282, 4082, 1955, 377, 590, 2894, 32897, 2266, 199, 26875, 22344, 434, 4785, 2320, 4078, 613, 375, 413, 1515, 8400, 708, 677, 950, 332, 1584, 36642, 2884, 829, 268, 12044, 199, 1235, 268, 20264, 661, 348, 780, 452, 535, 2707, 385, 11169, 3255, 199, 0, 199, 445, 801, 3605, 690, 351, 442, 630, 257, 1430, 314, 2388, 2068, 492, 423, 1042, 24730, 301, 616, 2720, 807, 573, 7074, 199, 51, 4897, 438, 442, 6742, 351, 2414, 464, 14567, 3075, 1917, 16037, 10061, 4010, 562, 3555, 1293, 327, 1636, 573, 199, 39, 6038, 843, 655, 361, 371, 2472, 360, 1877, 1134, 380, 915, 692, 299, 514, 15093, 1811, 800, 349, 2464, 747, 1496, 501, 199, 13938, 283, 1310, 30830, 5804, 970, 3776, 1047, 812, 19587, 1135, 585, 16932, 13503, 47257, 5777, 349, 807, 52, 199, 48, 635, 1341, 33108, 5605, 47010, 1160, 8507, 2342, 6753, 403, 6740, 877, 1500, 20329, 199, 0, 199, 3222, 1019, 648, 6425, 527, 5994, 2182, 15659, 492, 5417, 1482, 6546, 1070, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 630, 21839, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 273, 1177, 652, 199, 424, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 378, 199, 0, 199, 41512, 9822, 712, 266, 548, 498, 26030, 1541, 1181, 1444, 602, 19813, 737, 1765, 350, 592, 376, 664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2514, 542, 36118, 915, 49061, 5929, 500, 2652, 620, 319, 5121, 1338, 1034, 1399, 6317, 15386, 457, 9918, 29851, 199, 25735, 1172, 410, 1859, 5792, 316, 2769, 3209, 492, 548, 750, 289, 1476, 36, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 346, 899, 1110, 287, 1669, 373, 1076, 4640, 2553, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 19319, 269, 1448, 48911, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 55, 614, 279, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 42963, 532, 436, 6561, 411, 41882, 29147, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 301, 7722, 4843, 4816, 28470, 11202, 3964, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 701, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 1857, 978, 1977, 39852, 265, 686, 732, 12165, 327, 655, 15706, 2486, 15762, 260, 670, 49483, 2641, 1142, 10459, 199, 14717, 1381, 390, 1442, 1217, 24752, 4797, 1510, 48331, 610, 6823, 1889, 383, 4837, 268, 4609, 278, 1492, 1402, 354, 199, 18304, 692, 791, 326, 3276, 5217, 32762, 2647, 3676, 25508, 21006, 283, 1318, 271, 43456, 860, 263, 6768, 729, 33, 199, 16789, 1369, 424, 3288, 881, 8214, 46911, 35758, 1005, 11116, 464, 296, 2436, 2984, 2379, 7782, 380, 26561, 3261, 199, 300, 1793, 7723, 1420, 343, 1978, 385, 1206, 3439, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 12779, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 422, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 2019, 1613, 352, 9728, 1416, 2966, 444, 24634, 394, 12464, 10298, 390, 427, 3775, 277, 517, 5200, 1290, 6687, 14656, 199, 405, 1604, 626, 6128, 707, 9840, 1662, 2079, 656, 281, 2023, 295, 28611, 9213, 575, 770, 281, 1677, 282, 4082, 1955, 377, 199, 590, 2894, 32897, 497, 24555, 22344, 434, 4785, 2320, 4078, 613, 375, 413, 545, 8400, 708, 677, 950, 332, 1584, 595, 33, 199, 330, 42560, 268, 1652, 572, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 394, 14340, 2791, 291, 22269, 2868, 49, 199, 2329, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 1649, 825, 33003, 683, 556, 406, 344, 4792, 341, 354, 199, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 199, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 355, 636, 23678, 788, 1040, 37482, 942, 406, 3271, 33, 199, 955, 325, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 910, 261, 719, 28222, 441, 1346, 1240, 1556, 30130, 199, 1519, 29693, 697, 351, 199, 0, 199, 428, 325, 3503, 657, 4804, 2335, 360, 1356, 5757, 2501, 278, 4578, 481, 566, 332, 1172, 9465, 8610, 301, 4169, 38, 199, 37, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 49, 199, 421, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 1649, 825, 33003, 683, 556, 406, 10518, 33141, 354, 199, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 888, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 199, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 355, 636, 23678, 788, 1040, 37482, 942, 406, 3271, 33, 199, 955, 325, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 910, 261, 719, 28222, 441, 1346, 1240, 1556, 30130, 199, 1519, 29693, 697, 351, 199, 0, 199, 428, 325, 3503, 657, 4804, 2335, 360, 1356, 5757, 2501, 278, 4578, 481, 566, 332, 1172, 9465, 8610, 301, 4169, 38, 199, 37, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 49, 199, 421, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 1649, 825, 33003, 683, 556, 406, 10518, 33141, 354, 199, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 888, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 199, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 355, 636, 23678, 788, 1040, 37482, 942, 406, 3271, 33, 199, 955, 325, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 910, 261, 719, 28222, 441, 754, 1240, 1556, 30130, 199, 1519, 29693, 697, 351, 199, 0, 199, 428, 325, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 278, 4578, 481, 566, 332, 1172, 9465, 8610, 301, 4169, 38, 199, 37, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 49, 199, 421, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 1649, 825, 33003, 683, 556, 406, 10518, 33141, 354, 199, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 296, 1162, 616, 35445, 6255, 713, 16873, 620, 199, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 355, 636, 23678, 788, 1040, 37482, 942, 406, 3271, 33, 199, 955, 325, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 910, 261, 719, 28222, 441, 1346, 1240, 1556, 30130, 199, 1519, 29693, 697, 351, 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 ]
[ 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 1141, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 19803, 754, 299, 503, 328, 1030, 199, 0, 199, 14737, 7374, 1210, 1106, 4307, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 789, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 904, 2880, 376, 1045, 261, 199, 0, 199, 3222, 1019, 648, 6425, 527, 5994, 2182, 513, 951, 22265, 1482, 283, 708, 290, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 630, 21839, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 799, 319, 652, 199, 424, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 341, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 378, 915, 27352, 323, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 6463, 796, 699, 569, 437, 1002, 1520, 5398, 449, 3901, 383, 969, 1138, 295, 4903, 413, 1251, 613, 466, 319, 16045, 279, 199, 21839, 764, 48558, 14425, 419, 6177, 1667, 6152, 740, 404, 931, 2771, 2072, 3646, 40272, 7290, 2146, 6057, 199, 22057, 691, 287, 6315, 747, 514, 8155, 6203, 299, 23734, 1098, 12914, 7103, 285, 1254, 1934, 3807, 2334, 342, 199, 267, 1433, 385, 452, 586, 1810, 21900, 376, 995, 398, 491, 1042, 263, 2021, 730, 323, 6479, 281, 996, 5688, 1308, 8468, 360, 199, 612, 353, 493, 15967, 19455, 29576, 5821, 1156, 5472, 1083, 5851, 685, 566, 1132, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 624, 11665, 559, 8713, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 30555, 4548, 337, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1093, 3807, 33, 199, 656, 2911, 409, 3358, 35394, 933, 46920, 778, 14310, 18845, 9739, 486, 1085, 9965, 281, 1053, 728, 1116, 319, 199, 424, 1770, 3142, 899, 7719, 1516, 361, 13914, 1028, 49131, 818, 44440, 297, 1030, 378, 199, 0, 199, 33655, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 3964, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 799, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 574, 25157, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 278, 399, 23575, 518, 199, 45205, 1139, 1185, 2306, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 470, 712, 5219, 383, 199, 2951, 313, 6076, 291, 22269, 2868, 1733, 16867, 31416, 1255, 446, 433, 3980, 778, 551, 2967, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1545, 260, 1284, 21665, 590, 4090, 1610, 1980, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 377, 3853, 34010, 282, 19664, 764, 49360, 262, 1199, 416, 595, 32089, 535, 543, 547, 9586, 712, 11651, 199, 31473, 708, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 26242, 3273, 595, 685, 4161, 199, 0, 199, 2506, 431, 1385, 273, 1691, 40928, 799, 16559, 357, 693, 39993, 717, 1526, 742, 1488, 1238, 424, 1992, 401, 19103, 199, 360, 437, 390, 48255, 430, 1125, 1495, 5200, 11780, 729, 349, 370, 45003, 2771, 21355, 288, 551, 10192, 601, 1191, 33, 199, 271, 7763, 13060, 4548, 312, 747, 833, 2411, 508, 409, 10229, 4279, 467, 26366, 34402, 1056, 4083, 3807, 1756, 199, 1094, 429, 5212, 1321, 259, 3479, 458, 1109, 2141, 299, 529, 1157, 527, 888, 20357, 2461, 428, 1053, 568, 9743, 1993, 199, 299, 15216, 980, 361, 1666, 271, 2208, 325, 729, 679, 9043, 734, 290, 1291, 1187, 675, 15297, 199, 0, 199, 574, 423, 596, 35, 1385, 534, 2880, 978, 630, 358, 1187, 275, 702, 401, 4486, 445, 6281, 296, 1123, 30711, 24305, 566, 199, 19960, 1139, 550, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 4746, 410, 795, 41879, 5219, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 469, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 382, 368, 2013, 331, 1568, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 1752, 561, 271, 2037, 296, 1486, 10554, 199, 349, 20770, 33239, 282, 3147, 330, 475, 18868, 1805, 263, 1517, 727, 1199, 416, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 969, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 5016, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 9562, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 5016, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 33777, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 9562, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 4566, 5001, 7160, 1163, 2055, 1647, 26620, 1647, 353, 14247, 5510, 433, 2080, 548, 402, 555, 8609, 597, 289, 2187, 199, 31347, 425, 1172, 371, 1775, 9420, 367, 33307, 7906, 6540, 439, 5106, 13236, 1642, 1065, 1956, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 44, 1183, 424, 611, 2057, 4437, 13944, 30371, 1362, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 4464, 1704, 7543, 37349, 416, 2006, 656, 535, 504, 2380, 1989, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 32570, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 41959, 1707, 353, 13684, 3789, 433, 2080, 6237, 393, 809, 11878, 289, 2187, 199, 31347, 425, 1172, 371, 1775, 276, 3715, 483, 381, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 8009, 2556, 19067, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 6008, 30371, 1362, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 338, 620, 386, 2518, 4340, 1704, 7543, 37349, 446, 1439, 554 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25384, 637, 5180, 2528, 6848, 3007, 1278, 1808, 199, 1305, 8195, 4215, 4028, 1108, 365, 1377, 363, 3241, 290, 1599, 465, 563, 331, 5471, 9584, 739, 363, 2398, 24931, 476, 199, 19046, 386, 1523, 29652, 22352, 638, 23195, 18723, 1246, 5599, 1304, 2343, 17586, 39256, 16498, 258, 3522, 7271, 199, 296, 1635, 289, 1039, 19379, 3406, 724, 263, 1128, 1076, 460, 798, 7297, 2033, 1329, 1727, 388, 321, 920, 381, 1039, 199, 611, 25955, 787, 42757, 8365, 293, 2321, 382, 14976, 13635, 1206, 284, 1001, 637, 570, 431, 859, 9461, 519, 199, 1346, 318, 1807, 372, 781, 257, 1041, 321, 984, 388, 26532, 9907, 4052, 476, 199, 0, 199, 445, 40286, 942, 8206, 1124, 1104, 23195, 432, 730, 37032, 1171, 1356, 658, 2105, 560, 1628, 360, 34327, 9324, 199, 21028, 2986, 1138, 292, 516, 2448, 498, 527, 466, 259, 1106, 3801, 2290, 865, 269, 767, 948, 579, 271, 619, 7925, 199, 1062, 1050, 401, 1030, 329, 2859, 415, 4818, 502, 1540, 3232, 1041, 817, 41566, 12419, 2618, 1105, 592, 642, 1229, 40, 199, 37, 458, 1827, 1492, 962, 352, 488, 1007, 3309, 949, 1927, 5443, 3268, 411, 363, 8459, 1984, 527, 2290, 11227, 394, 199, 48566, 22637, 642, 271, 964, 458, 22175, 20654, 21288, 15020, 16903, 597, 270, 631, 1732, 796, 8284, 49380, 199, 6191, 516, 1688, 13302, 874, 992, 348, 984, 7057, 505, 770, 10736, 260, 830, 1807, 879, 299, 16822, 592, 36860, 199, 1262, 590, 324, 10653, 845, 35, 1624, 8989, 920, 394, 496, 296, 1103, 418, 16769, 39000, 408, 199, 0, 199, 9963, 3521, 19312, 410, 14417, 968, 301, 2526, 12962, 14691, 1009, 8604, 1864, 347, 4182, 1576, 23400, 469, 333, 199, 1366, 713, 1830, 444, 10394, 326, 570, 258, 993, 1938, 1268, 1611, 10134, 892, 333, 1085, 394, 3440, 3124, 7122, 199, 15890, 316, 811, 1319, 10541, 1387, 504, 487, 840, 917, 543, 7925, 782, 347, 5573, 2446, 18362, 3055, 1293, 199, 3260, 1768, 264, 2693, 23076, 631, 729, 299, 6611, 740, 5485, 1039, 358, 1053, 1164, 567, 273, 752, 405, 8770, 45, 199, 386, 582, 263, 1333, 4987, 727, 2032, 2564, 815, 15724, 199, 0, 199, 574, 13267, 736, 1385, 52, 4919, 390, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 30711, 23575, 518, 199, 45205, 1139, 20440, 22421, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2951, 313, 6076, 291, 22269, 2868, 1984, 16867, 478, 1840, 394, 3020, 3980, 778, 607, 2967, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 17391, 1610, 1980, 57, 2163, 1752, 561, 271, 2037, 296, 1408, 10554, 199, 349, 10648, 46340, 280, 3853, 342, 34421, 14162, 764, 49360, 259, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 26242, 3273, 595, 685, 4161, 199, 0, 199, 4831, 5933, 257, 1190, 927, 574, 3947, 279, 977, 2818, 428, 441, 20843, 5327, 25360, 3811, 631, 2700, 553, 6903, 199, 501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1600, 702, 28508, 874, 19946, 713, 987, 384, 375, 1460, 2226, 1190, 5918, 611, 14980, 4703, 1533, 199, 35907, 874, 46469, 34696, 4631, 409, 8802, 570, 439, 442, 684, 9412, 329, 973, 1118, 1401, 6733, 2800, 329, 199, 2820, 423, 8574, 12496, 5738, 36056, 2844, 446, 34860, 743, 282, 906, 12141, 320, 1948, 1431, 1246, 3686, 37066, 199, 51, 2565, 313, 825, 840, 2461, 28952, 1300, 18055, 199, 0, 199, 19437, 320, 8714, 21045, 12103, 11529, 616, 17225, 712, 609, 6596, 329, 511, 446, 798, 301, 475, 11583, 1333, 2920, 199, 590, 472, 3651, 331, 929, 274, 17219, 534, 6987, 1316, 920, 4667, 6380, 555, 7786, 40, 199, 0, 199, 662, 31568, 1304, 924, 480, 12103, 288, 1186, 379, 17225, 712, 21390, 570, 329, 511, 446, 6178, 1379, 7128, 1471, 2920, 199, 590, 472, 3651, 331, 984, 289, 13982, 555, 6987, 984, 825, 9493, 6380, 555, 8993, 40, 199, 0, 199, 22105, 538, 339, 12627, 1521, 1076, 490, 625, 739, 570, 342, 545, 1078, 3691, 327, 1050, 333, 1713, 297, 7865, 2332, 199, 44, 2964, 2171, 30732, 4050, 330, 3524, 10431, 1064, 968, 350, 2527, 417, 6420, 294, 706, 7959, 1893, 846, 31025, 199, 605, 414, 401, 3859, 18385, 1816, 49363, 6937, 407, 1023, 8756, 998, 26130, 1057, 513, 503, 1236, 800, 322, 11220, 199, 19967, 667, 9775, 3312, 337, 990, 855, 384, 326, 4292, 11196, 36681, 486, 492, 712, 327, 360, 753, 285, 1806, 649, 274, 199, 296, 1798, 1254, 8709, 431, 423, 1957, 23253, 1424, 285, 199, 0, 199, 445, 558, 14184, 839, 555, 3958, 270, 611, 260, 846, 10006, 45, 1790, 545, 9113, 4600, 23271, 295, 2461, 277, 603, 199, 9000, 278, 23840, 5144, 288, 1453, 272, 35326, 9199, 1155, 263, 30983, 34631, 920, 36339, 1945, 273, 852, 343, 199, 9000, 11613, 376, 25810, 1616, 9773, 3921, 2476, 5307, 19572, 4659, 614, 8079, 643, 29470, 301, 1128, 4011, 199, 6105, 24047, 432, 33474, 370, 359, 605, 48000, 2711, 34183, 7172, 6031, 874, 358, 615, 4711, 387, 5253, 332, 199, 313, 21295, 840, 399, 1103, 1549, 386, 1917, 516, 4527, 5028, 684, 381, 424, 798, 563, 22405, 22688, 11326, 702, 342, 199, 611, 6648, 472, 8161, 264, 622, 525, 426, 811, 5144, 2318, 10923, 442, 699, 363, 13080, 1631, 382, 14775, 1012, 199, 4258, 299, 556, 299, 1401, 322, 8471, 9536, 2742, 808, 293, 1439, 290, 814, 1945, 360, 865, 2887, 503, 15109, 199, 51, 36620, 13610, 2191, 43857, 1328, 3123, 38805, 1130, 648, 26654, 8099, 8628, 910, 383, 199, 0, 199, 1339, 463, 533, 418, 3492, 35070, 1494, 11553, 1406, 954, 45878, 299, 341, 385, 1157, 15749, 10895, 970, 325, 6246, 49, 199, 2078, 320, 594, 16335, 4680, 1105, 31006, 264, 436, 3406, 2792, 1593, 447, 11345, 761, 12613, 1078, 516, 2691, 3351, 199, 373, 398, 29153, 419, 1644, 487, 924, 2200, 6166, 14785, 17084, 550, 474, 10679, 9141, 55, 2007, 8528, 1920, 279, 199, 1521, 1883, 1902, 26821, 9289, 720, 369, 1401, 264, 384, 9134, 872, 556, 10555, 16852, 566, 619, 280, 769, 4415, 199, 22887, 3370, 25194, 16601, 733, 321, 39004, 1337, 3253, 199, 0, 199, 24123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 24845, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 7625, 342, 554, 535, 504, 2380, 8854, 199, 21158, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 258, 506, 1044, 4299, 199, 0, 199, 382, 1866, 766, 21974, 767, 833, 660, 388, 7017, 332, 1118, 11129, 503, 14486, 1289, 18184, 742, 3949, 2148, 199, 399, 2063, 451, 2702, 800, 329, 440, 294, 696, 1052, 2145, 20994, 5118, 738, 15541, 7994, 3063, 270, 1032, 763, 333, 199, 44, 3023, 447, 938, 316, 2366, 4070, 362, 11410, 1583, 32702, 627, 4850, 400, 14152, 1599, 478, 422, 1585, 32730, 355, 199, 332, 1051, 343, 1582, 9967, 20025, 520, 330, 443, 570, 8196, 44015, 1028, 1025, 501, 32883, 7687, 326, 8053, 1365, 199, 5086, 390, 398, 329, 547, 325, 848, 38201, 6338, 2133, 335, 2325, 289, 1753, 703, 323, 436, 30206, 18035, 46088, 8311, 199, 39, 1354, 2966, 355, 2545, 6129, 523, 493, 351, 1342, 416, 10690, 389, 1329, 330, 11021, 4969, 39277, 11500, 5273, 199, 37, 3493, 45619, 2192, 1574, 839, 6464, 9570, 2200, 576, 199, 0, 199, 482, 9797, 1223, 10040, 829, 6224, 1026, 467, 2978, 520, 324, 546, 365, 744, 348, 2185, 3022, 41631, 771, 331, 594, 550, 199, 733, 41270, 566, 584, 340, 3696, 1049, 5883, 5366, 756, 29383, 42389, 2109, 280, 3164, 1396, 616, 2861, 199, 17464, 3834, 683, 373, 490, 537, 2994, 485, 3379, 279, 1020, 5823, 1121, 17673, 1987, 298, 1043, 270, 4826, 634, 199, 9419, 2708, 336, 489, 294, 504, 1159, 35277, 698, 2674, 14785, 2562, 597, 3454, 21488, 1098, 521, 504, 871, 199, 1104, 1220, 957, 23952, 2370, 39455, 296, 2239, 7158, 301, 2822, 575, 783, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 41959, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 376, 23050, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 1282, 31711, 27053, 2518, 4340, 1704, 7543, 37349, 446, 2006, 554, 535, 504, 3171, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 388, 1695, 393, 7125, 46312, 199, 1773, 466, 458, 2309, 495, 17717, 2697, 332, 1585, 383, 5993, 485, 353, 1630, 379, 371, 446, 15393, 315, 1684, 262, 1820, 12100, 199, 51, 3562, 2431, 389, 1444, 25964, 12609, 199, 0, 199, 1927, 931, 976, 17143, 627, 294, 1369, 834, 6860, 268, 610, 1269, 331, 785, 274, 1515, 1712, 1459, 299, 998, 370, 1776, 54, 199, 984, 2865, 16480, 2477, 863, 3246, 495, 25936, 466, 3925, 315, 1826, 390, 3439, 358, 20081, 465, 3945, 505, 8559, 199, 290, 3290, 461, 291, 539, 9421, 422, 2359, 357, 1341, 17449, 1300, 353, 457, 33671, 1910, 326, 753, 317, 199, 0, 199, 574, 13267, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 30711, 23575, 518, 199, 45205, 1139, 1185, 2922, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2951, 347, 6076, 291, 22269, 2868, 1984, 16142, 31416, 1255, 446, 433, 3980, 23122, 296, 9635, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 2108, 1980, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 280, 3853, 34010, 6382, 1180, 764, 49360, 259, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 26242, 3273, 595, 685, 4161, 199, 0, 199, 574, 13267, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 30711, 23575, 518, 199, 45205, 1139, 1185, 2922, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2951, 347, 6076, 291, 22269, 2868, 1984, 16142, 31416, 1255, 446, 433, 3980, 23122, 296, 2967, 2200, 265, 825, 15941, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 2108, 1980, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 280, 3853, 34010, 6382, 1180, 764, 49360, 259, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 26242, 3273, 595, 685, 4161, 199, 0, 199, 574, 13267, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 30711, 23575, 518, 199, 45205, 1139, 1185, 2922, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2951, 347, 6076, 291, 22269, 2868, 1984, 16142, 31416, 1255, 446, 433, 3980, 23122, 296, 2967, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 2108, 1980, 35, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 280, 3853, 34010, 6382, 1180, 764, 49360, 259, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 26242 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 372, 1360, 26388, 6366, 2308, 199, 37, 823, 328, 776, 2539, 396, 4242, 4726, 1897, 258, 935, 3679, 40497, 2133, 290, 594, 413, 543, 3247, 2537, 48, 881, 199, 447, 2584, 367, 1258, 501, 35120, 301, 18914, 514, 18174, 822, 451, 1053, 483, 5566, 355, 1025, 10021, 577, 278, 1336, 33, 199, 2246, 441, 7363, 316, 1802, 4095, 3468, 199, 0, 199, 2260, 36248, 420, 6554, 442, 325, 5109, 4476, 584, 902, 663, 34647, 9013, 2947, 296, 843, 486, 909, 2151, 199, 2857, 349, 993, 13657, 378, 19726, 7970, 906, 295, 764, 52, 3117, 355, 3990, 264, 1128, 346, 1176, 474, 325, 388, 1108, 199, 4018, 301, 5120, 21769, 273, 2868, 38982, 39372, 391, 459, 2773, 2077, 2771, 380, 1085, 458, 403, 372, 1649, 825, 329, 199, 336, 3718, 556, 406, 8160, 382, 447, 689, 2752, 509, 425, 387, 8025, 360, 11653, 823, 372, 1360, 33648, 6366, 2308, 199, 37, 823, 328, 762, 2539, 396, 4242, 375, 2074, 735, 935, 3679, 40497, 2133, 290, 641, 413, 543, 3247, 393, 441, 881, 199, 505, 2584, 367, 1258, 501, 35120, 301, 18914, 514, 18174, 822, 451, 1053, 483, 5566, 355, 1025, 10021, 577, 278, 1336, 33, 199, 2246, 441, 7363, 316, 1802, 4095, 3468, 199, 0, 199, 2747, 35542, 16037, 16577, 384, 12521, 1252, 1621, 367, 4601, 482, 598, 282, 855, 1138, 13916, 2815, 9221, 332, 484, 199, 1837, 34172, 1637, 24602, 619, 3299, 1586, 337, 642, 346, 2748, 1444, 22543, 2526, 48, 812, 402, 409, 8708, 7211, 199, 44, 3005, 387, 1970, 12746, 781, 31057, 747, 6661, 1312, 2021, 1157, 369, 1454, 467, 2485, 8283, 14040, 11202, 52, 199, 21660, 790, 360, 5027, 1401, 438, 678, 39557, 442, 345, 32676, 24208, 1450, 347, 6838, 478, 573, 11131, 284, 2749, 38, 199, 349, 1557, 36, 3630, 3399, 14849, 271, 1123, 2208, 389, 529, 391, 455, 3490, 328, 994, 13049, 1087, 1308, 528, 199, 0, 199, 2506, 431, 1385, 273, 1691, 41876, 799, 16559, 357, 693, 13625, 717, 1526, 742, 1488, 1238, 3700, 524, 1518, 394, 199, 360, 437, 390, 48255, 430, 1125, 1495, 5200, 11780, 729, 349, 370, 32696, 2771, 21355, 288, 551, 10192, 601, 1191, 33, 199, 271, 7763, 13060, 4548, 312, 747, 833, 2411, 508, 409, 10229, 4279, 467, 26366, 22057, 1056, 4083, 3807, 1756, 199, 1094, 429, 5212, 1321, 259, 3479, 458, 1109, 2141, 299, 529, 1157, 527, 888, 20357, 2461, 428, 1053, 568, 9743, 1993, 199, 299, 15216, 980, 361, 1666, 271, 2208, 325, 729, 679, 9043, 734, 290, 1291, 1187, 675, 15297, 199, 0, 199, 2506, 431, 1385, 273, 1691, 40928, 799, 16559, 357, 693, 39993, 717, 1526, 742, 1488, 1238, 3700, 524, 1518, 394, 199, 360, 437, 390, 48255, 430, 1125, 1495, 5200, 11780, 729, 349, 370, 32696, 2771, 21355, 288, 551, 10192, 601, 1191, 33, 199, 271, 7763, 13060, 4548, 312, 747, 833, 2411, 508, 409, 10229, 4279, 467, 10257, 22057, 1056, 4083, 3807, 1756, 199, 1094, 429, 5212, 1321, 259, 3479, 458, 1109, 2141, 299, 529, 1157, 527, 888, 20357, 2461, 428, 1053, 568, 9743, 1993, 199, 299, 15216, 980, 361, 1666, 271, 2208, 325, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3980, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 1012, 823, 935, 9018, 27367, 431, 620, 350, 2518, 5682, 1704, 7543, 37349, 446, 1439, 554, 535, 504, 2380, 199, 332, 441, 527, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 776, 5612, 48202, 274, 1917, 293, 1319, 199, 44, 1336, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 20390, 2006, 3682, 291, 12252, 10542, 2843, 19067, 369, 12416, 390, 1602, 3980, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 795, 413, 2990, 57, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 31577, 431, 620, 386, 2518, 5682, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 9562, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 293, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 439, 5106, 13236, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 5682, 1704, 7543, 37349, 446, 24554, 6943, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 293, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 23210, 381, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 375, 341, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 315, 17506, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 23581, 13029, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 978, 16370, 37851, 3503, 657, 4804, 2335, 360, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 22708, 13539, 430, 16390, 770, 349, 1547, 1015, 888, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 315, 17506, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 23452, 6255, 713, 199, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 355, 636, 23678, 788, 1040, 37482, 2704, 199, 26271, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 910, 261, 719, 28222, 441, 1346, 1240, 41, 199, 355, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 978, 16370, 37851, 3503 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21617, 1319, 10295, 450, 388, 17243, 1178, 41649, 199, 286, 1248, 21665, 862, 11879, 17528, 23461, 594, 257, 740, 663, 1834, 1754, 43328, 445, 39231, 33108, 284, 2379, 406, 199, 5901, 1401, 263, 1353, 2381, 606, 882, 15015, 727, 759, 36377, 363, 199, 0, 199, 2535, 7781, 758, 313, 6745, 798, 15060, 507, 1627, 353, 944, 313, 1379, 16180, 7016, 45971, 314, 1683, 9261, 909, 199, 20922, 1746, 1142, 377, 330, 413, 1974, 16037, 1590, 827, 24752, 359, 1283, 760, 354, 610, 5064, 23935, 8765, 353, 445, 199, 9033, 360, 729, 1402, 380, 862, 25990, 3482, 526, 6607, 1403, 21617, 1319, 10295, 450, 388, 17243, 1178, 519, 34768, 199, 567, 5750, 355, 723, 507, 272, 1946, 23461, 594, 257, 740, 663, 1834, 1754, 43328, 445, 39231, 33108, 284, 2379, 18725, 199, 11168, 1401, 263, 1353, 2381, 606, 882, 15015, 727, 759, 10523, 363, 199, 0, 199, 1826, 265, 595, 376, 707, 258, 1402, 442, 551, 259, 2477, 14803, 44572, 989, 444, 4845, 587, 603, 338, 1072, 367, 454, 199, 44, 1765, 16045, 360, 28073, 2275, 789, 8778, 45406, 5500, 491, 705, 11017, 3201, 2771, 12075, 336, 1431, 468, 199, 44, 3585, 2911, 2447, 452, 1932, 287, 845, 4815, 298, 1208, 322, 933, 1111, 291, 1454, 467, 340, 1530, 497, 8254, 7151, 199, 6947, 891, 360, 5957, 857, 609, 827, 428, 11162, 580, 301, 32676, 1612, 264, 22411, 472, 1046, 2461, 461, 1053, 273, 199, 13110, 35696, 843, 612, 298, 602, 584, 3832, 3116, 406, 2708, 285, 500, 7765, 789, 376, 881, 261, 199, 0, 199, 1826, 265, 595, 376, 707, 258, 1402, 442, 551, 259, 2477, 14803, 44572, 989, 444, 4845, 587, 603, 338, 1072, 367, 454, 199, 44, 1765, 16045, 360, 28073, 2275, 789, 8778, 45406, 5500, 491, 705, 11017, 3201, 2771, 12075, 336, 1431, 468, 199, 44, 3585, 2911, 2447, 452, 1932, 287, 845, 4815, 298, 1208, 322, 933, 1111, 291, 1454, 467, 340, 1530, 497, 8254, 7151, 199, 6947, 891, 360, 5957, 857, 10413, 3643, 11162, 580, 301, 32676, 1612, 264, 22411, 472, 1046, 2461, 461, 1053, 273, 199, 13110, 35696, 843, 612, 298, 599, 584, 3832, 3116, 406, 2708, 285, 500, 7765, 789, 376, 881, 261, 199, 0, 199, 1826, 265, 595, 376, 707, 258, 1402, 442, 551, 259, 2477, 14803, 44572, 989, 444, 4845, 587, 603, 338, 1072, 367, 454, 199, 44, 1765, 16045, 360, 28073, 2275, 789, 8778, 45406, 5500, 491, 705, 11017, 3201, 2771, 12075, 336, 1431, 468, 199, 44, 3585, 2911, 2447, 452, 1932, 287, 845, 5859, 298, 1208, 322, 1816, 1111, 291, 1454, 467, 340, 1530, 497, 8254, 7151, 199, 6947, 891, 360, 5957, 857, 10413, 3643, 11162, 580, 301, 32676, 1612, 264, 22411, 472, 1046, 2461, 461, 1053, 273, 199, 13110, 35696, 843, 612, 298, 602, 584, 3832, 3116, 406, 2708, 285, 500, 7765, 789, 376, 881, 261, 199, 0, 199, 1826, 265, 595, 376, 707, 258, 1402, 442, 551, 259, 2477, 14803, 44572, 989, 444, 4845, 587, 603, 338, 1072, 367, 454, 199, 44, 1765, 16045, 360, 28073, 2275, 789, 8778, 45406, 5500, 491, 705, 11017, 3201, 2771, 12075, 336, 1431 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1209, 2357, 477, 689, 4123, 26877, 8002, 685, 794, 365, 842, 18754, 328, 3326, 24190, 30750, 24782, 1033, 199, 287, 6097, 480, 8339, 1415, 364, 4398, 34751, 13298, 264, 2195, 199, 0, 199, 574, 474, 327, 485, 57, 985, 30822, 260, 734, 622, 288, 902, 620, 390, 365, 1065, 2773, 30222, 743, 1128, 412, 4099, 329, 199, 360, 7963, 634, 265, 2900, 11250, 260, 3007, 2222, 7288, 28005, 1746, 52, 1660, 331, 24841, 1196, 369, 1027, 15358, 199, 44, 994, 465, 482, 34776, 5684, 257, 1025, 7229, 441, 4504, 801, 482, 2662, 424, 503, 259, 668, 1278, 5576, 566, 33, 199, 40030, 2278, 998, 334, 2185, 519, 432, 1729, 290, 4507, 297, 1774, 7195, 353, 2156, 40, 1140, 271, 1478, 1769, 38816, 11959, 199, 354, 4751, 1049, 281, 2037, 1903, 42513, 390, 2456, 285, 720, 301, 1563, 37738, 395, 6609, 1422, 333, 1406, 332, 865, 786, 199, 33537, 1114, 2167, 39685, 988, 587, 4226, 2603, 1625, 10185, 2072, 20190, 314, 1248, 2177, 27271, 278, 5773, 386, 199, 2295, 3042, 20433, 699, 346, 11166, 1873, 353, 339, 1891, 558, 375, 3110, 6688, 1762, 1709, 19399, 1735, 36028, 1084, 33, 199, 8201, 558, 4329, 31786, 420, 16074, 465, 1199, 35719, 23289, 46, 1952, 295, 15934, 1042, 1798, 4514, 324, 1190, 366, 45, 199, 463, 13833, 293, 1710, 12529, 666, 28860, 9167, 630, 291, 19524, 458, 3107, 350, 634, 12240, 301, 5242, 1016, 401, 14682, 199, 50, 199, 0, 199, 574, 509, 327, 485, 57, 985, 30822, 260, 734, 622, 288, 902, 620, 390, 365, 1065, 2773, 30222, 743, 1128, 412, 4099, 329, 199, 360, 7963, 634, 265, 2900, 11250, 260, 3007, 2222, 7288, 28005, 1746, 52, 1660, 331, 24841, 1196, 369, 1027, 15358, 199, 44, 994, 465, 482, 34776, 5684, 257, 1025, 7229, 441, 4504, 801, 482, 2662, 424, 503, 259, 668, 1278, 5576, 566, 33, 199, 40030, 2278, 998, 334, 2185, 519, 432, 1729, 290, 4507, 297, 1774, 5284, 353, 2156, 40, 1140, 271, 1478, 1769, 38816, 11959, 199, 354, 4751, 1049, 281, 2037, 1903, 42513, 390, 2456, 285, 720, 301, 1563, 37738, 395, 6609, 1422, 333, 1406, 332, 865, 786, 199, 33537, 1114, 2167, 39685, 988, 587, 4226, 2603, 1625, 10185, 2072, 20190, 314, 1248, 2177, 27271, 278, 5773, 386, 199, 2295, 3042, 20433, 699, 346, 11166, 1873, 353, 339, 1891, 558, 375, 3110, 6688, 1762, 1709, 19399, 1735, 36028, 1084, 33, 199, 8201, 558, 4329, 31786, 420, 16074, 465, 1199, 35719, 23289, 46, 1952, 295, 15934, 1042, 1798, 4514, 324, 1190, 366, 45, 199, 463, 13833, 293, 1710, 12529, 666, 28860, 9167, 630, 291, 19524, 458, 3107, 350, 634, 12240, 301, 5242, 1016, 401, 14682, 199, 50, 199, 0, 199, 1927, 394, 19486, 342, 37186, 8825, 446, 742, 1460, 12681, 1294, 323, 8339, 17806, 279, 19286, 1558, 18332, 586, 199, 10565, 381, 1179, 1004, 31791, 840, 634, 578, 354, 978, 535, 451, 7998, 349, 1511, 2082, 37181, 2014, 615, 897, 33, 199, 22901, 4548, 284, 3987, 320, 399, 1139, 431, 2458, 28952, 1255, 15810, 1066, 563, 5836, 8411, 446, 2558, 1227, 1609, 199, 1625, 3588, 23352, 425, 544, 3746, 1226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 801, 1793, 276, 199, 318, 9196, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 9678, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 574, 357, 911, 13418, 399, 395, 4548, 18171, 1780, 361, 359, 9296, 4480, 40628, 990, 1570, 14467, 6352, 1626, 43, 199, 6104, 367, 1476, 682, 484, 2344, 20789, 1818, 3978, 12823, 2039, 402, 603, 463, 2081, 5321, 3738, 3308, 1219, 199, 3458, 1803, 25120, 1818, 12562, 1463, 9245, 349, 46705, 1596, 15467, 948, 24171, 834, 532, 416, 290, 441, 400, 376, 526, 199, 22076, 960, 266, 3367, 1634, 681, 414, 491, 18939, 2475, 972, 31150, 1974, 17662, 764, 328, 1203, 748, 380, 16246, 359, 199, 720, 1324, 412, 595, 32416, 199, 0, 199, 1811, 34392, 10658, 8949, 32654, 1092, 27205, 3952, 272, 796, 699, 569, 437, 1002, 1520, 4827, 364, 17793, 3151, 199, 14809, 1138, 295, 4903, 413, 1251, 613, 466, 319, 16045, 279, 21839, 764, 48558, 14425, 419, 6177, 1667, 6152, 740, 199, 404, 931, 2771, 2072, 3646, 40272, 7290, 2146, 6057, 22057, 691, 287, 6315, 747, 514, 8155, 6203, 299, 26101, 199, 1011, 3469, 481, 7103, 285, 1254, 1934, 3807, 2334, 12019, 1433, 385, 452, 586, 1810, 21900, 376, 995, 398, 491, 8415, 199, 44, 2021, 730, 323, 6479, 281, 996, 5688, 1308, 8468, 360, 612, 353, 493, 15967, 19455, 29576, 5821, 1156, 5472, 1083, 199, 5851, 685, 566, 1132, 199, 0, 199, 419, 2668, 623, 430, 603, 6031, 2040, 771, 4519, 275, 6068, 10063, 744, 1352, 299, 898, 7612, 705, 8140, 199, 1027, 7738, 639, 1107, 782, 57, 680, 398, 6134, 793, 539, 1434, 584, 43, 3059, 12414, 3515, 19320, 733, 5242, 199, 44, 1641, 517, 29402, 6103, 312, 2054, 314, 20869, 36788, 839, 285, 46204, 522, 587, 1799, 18371, 19454, 280, 199, 694, 4902, 259, 791, 24914, 9060, 4277, 1434, 16347, 24568, 8153, 440, 487, 33789, 8328, 2482, 348, 2032, 33, 199, 4155, 13442, 697, 728, 257, 8764, 835, 17695, 18064, 694, 28795, 2440, 689, 264, 2532, 768, 12692, 386, 2094, 199, 4090, 735, 7381, 1199, 271, 4106, 386, 801, 1077, 5788, 4499, 18680, 45746, 847, 34359, 3147, 286, 994, 474, 199, 487, 15128, 5333, 406, 8518, 664, 5318, 426, 5450, 199, 0, 199, 4866, 10606, 847, 675, 11487, 259, 1961, 342, 526, 12377, 7200, 2328, 433, 35984, 1783, 459, 754, 337, 1606, 1304, 199, 410, 632, 1291, 480, 9226, 500, 10150, 527, 1353, 436, 1503, 35355, 1461, 30630, 299, 722, 1087, 403, 6233, 17456, 199, 386, 16724, 505, 543, 468, 21520, 450, 473, 1821, 7068, 430, 359, 9173, 371, 672, 271, 454, 4711, 1471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 31373, 1241, 14372, 6585, 1053, 483, 5566, 542, 1025, 1203, 28288, 33799, 199, 330, 16368, 35861, 3273, 484, 675, 259, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 5016, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 877, 444, 24185, 2282, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 9562, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 633, 1217, 276, 199, 0, 199, 662, 377, 842, 340, 11197, 329, 11601, 713, 3025, 503, 19057, 3243, 17691, 890, 44509, 597, 1345, 13180, 1520, 199, 49480, 540, 5465, 324, 522, 346, 1060, 401, 5730, 1995, 5106, 425, 11858, 12974, 14218, 607, 6879, 9917, 282, 45, 199, 3831, 5721, 3319, 576, 572, 15729, 35301, 9686, 768, 264, 3534, 1235, 35777, 8654, 566, 2486, 281, 7802, 199, 351, 2576, 368, 432, 13793, 324, 48336, 14077, 591, 18338, 816, 628, 7818, 1769, 679, 9425, 355, 6876, 440, 738, 54, 199, 290, 1679, 3009, 35444, 11925, 7575, 8049, 2035, 48467, 10281, 717, 1710, 3677, 277, 199, 0, 199, 2227, 2172, 719, 12357, 19471, 33420, 376, 1882, 35170, 442, 478, 8979, 450, 322, 35, 777, 377, 1098, 2560, 429, 721, 199, 14846, 10291, 490, 8009, 400, 353, 623, 338, 17327, 1375, 5421, 1527, 1956, 490, 8129, 8878, 339, 1034, 1695, 563, 199, 605, 276, 7079, 257, 1823, 313, 4925, 991, 8707, 365, 892, 613, 5190, 754, 538, 57, 1141, 263, 853, 272, 1837, 497, 628, 199, 51, 376, 3040, 2795, 1094, 623, 5892, 916, 3398, 3103, 395, 1407, 327, 16069, 48252, 2134, 1062, 558, 332, 2934, 5460, 199, 332, 199, 0, 199, 15942, 2039, 396, 9585, 19139, 1113, 4536, 2612, 837, 3159, 720, 381, 4189, 9955, 2480, 12268, 730, 9355, 199, 1705, 41923, 1106, 510, 7900, 347, 32003, 403, 15483, 48877, 20363, 960, 811, 270, 439, 21213, 411, 821, 4359, 199, 1235, 28558, 14416, 2798, 349, 2275, 270, 3031, 446, 21763, 1626, 36629, 1153, 30657, 263, 798, 3232, 301, 18880, 466, 199, 27292, 2010, 375, 45469, 752, 12199, 49034, 545, 363, 1531, 464, 2351, 272, 1949, 29029, 11510, 469, 502, 6724, 199, 641, 301, 687, 9167, 1086, 28165, 3525, 11762, 21206, 20128, 2528, 288, 1694, 11233, 9153, 4889, 313, 28261, 199, 23548, 1915, 2284, 390, 455, 15126, 381, 779, 7561, 363, 6475, 325, 27024, 8353, 370, 497, 354, 7044, 1024, 376, 2301, 199, 21155, 1171, 47155, 551, 411, 1312, 2204, 1065, 4536, 332, 1537, 354, 4667, 363, 10016, 339, 5609, 17170, 1305, 2301, 199, 19013, 1880, 4359, 12561, 1975, 416, 402, 199, 0, 199, 1558, 4814, 5073, 430, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1841, 349, 1142, 280, 5911, 1974, 16037, 766, 827, 24752, 509, 1283, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 3147, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 12779, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 825, 640, 25608, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 346, 899, 1110, 287, 1669, 373, 1076, 4640, 2553, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 381, 610, 315, 11231, 1448, 547, 353, 1558, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 25222, 1792, 2713, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 2073, 21214, 294, 499, 388, 47689, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 817, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 346, 899, 1110, 287, 1669, 314, 1076, 4640, 2553, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 346, 899, 1110, 287, 1669, 373, 1076, 4640, 2553, 49, 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 ]
[ 981, 46, 199, 389, 2071, 481, 398, 3807, 2013, 4474, 469, 4537, 735, 374, 28765, 8583, 1632, 330, 5479, 788, 888, 30575, 741, 199, 15373, 284, 1901, 1091, 4354, 273, 1679, 854, 923, 363, 674, 1102, 12329, 630, 23013, 608, 754, 4766, 54, 1876, 199, 0, 199, 475, 442, 441, 33686, 1484, 7116, 8754, 40, 820, 693, 373, 529, 15177, 603, 812, 12714, 1648, 484, 1237, 394, 360, 199, 437, 390, 7723, 430, 7287, 3667, 266, 1302, 857, 566, 335, 30898, 2114, 3885, 57, 3344, 15125, 881, 10626, 259, 199, 7763, 994, 330, 46983, 637, 26828, 2241, 462, 5083, 1176, 269, 16280, 1530, 2266, 1056, 11202, 7268, 382, 2704, 199, 447, 6540, 1246, 3379, 425, 8586, 6791, 3466, 529, 1157, 13554, 472, 4041, 20058, 478, 776, 3224, 264, 1993, 460, 199, 25343, 913, 6882, 625, 32431, 325, 5164, 266, 3041, 839, 3492, 35267, 8988, 199, 0, 199, 15999, 14484, 1063, 24354, 271, 1258, 1210, 619, 2406, 785, 3655, 269, 619, 2406, 785, 3655, 269, 2571, 199, 43732, 323, 1138, 742, 1761, 579, 18548, 524, 18240, 288, 5874, 390, 3534, 258, 1577, 13682, 11010, 988, 6354, 614, 199, 337, 3827, 2771, 702, 377, 637, 48241, 3186, 26105, 874, 417, 994, 330, 2448, 2415, 514, 13423, 8435, 1389, 199, 4024, 17658, 340, 1530, 493, 312, 1579, 11202, 3807, 258, 1028, 48726, 845, 904, 5896, 15387, 14336, 397, 1813, 199, 461, 1011, 888, 48840, 703, 284, 15242, 1536, 45223, 1827, 16588, 2580, 370, 319, 3085, 1312, 3825, 296, 851, 23563, 199, 271, 754, 299, 44045, 33, 199, 0, 199, 339, 6706, 837, 270, 2282, 830, 32496, 345, 1462, 316, 2962, 20451, 2929, 331, 47461, 324, 2241, 258, 1087, 13590, 199, 36, 4835, 826, 549, 32033, 19955, 20748, 13841, 366, 6459, 445, 924, 400, 2826, 888, 20941, 329, 1181, 285, 1901, 52, 199, 459, 1301, 5459, 448, 374, 1343, 23839, 32105, 22885, 1211, 539, 380, 1883, 323, 37373, 1222, 485, 26175, 753, 637, 35, 199, 27193, 47367, 618, 57, 887, 22795, 636, 1864, 392, 29242, 11539, 314, 1670, 1992, 346, 2989, 1710, 387, 1433, 268, 1007, 199, 2189, 383, 1119, 46, 199, 0, 199, 475, 4979, 2811, 504, 17038, 21704, 341, 1462, 328, 2962, 20451, 2929, 331, 451, 22365, 2241, 258, 1087, 726, 1045, 199, 4835, 289, 1944, 32033, 19955, 20748, 13841, 366, 6459, 445, 924, 400, 2826, 888, 20941, 329, 624, 285, 1901, 423, 199, 13519, 5459, 448, 374, 1216, 23839, 32105, 477, 22676, 539, 380, 1883, 323, 37373, 1222, 485, 20357, 753, 637, 648, 199, 5951, 8106, 618, 17008, 22795, 636, 1864, 431, 29242, 396, 41457, 1670, 1992, 346, 2989, 1854, 387, 1433, 4610, 591, 199, 26916, 1119, 46, 199, 0, 199, 339, 6706, 837, 270, 2282, 830, 32496, 345, 1462, 316, 2962, 20451, 2929, 331, 47461, 324, 2241, 258, 1087, 13590, 199, 36, 4835, 826, 549, 32033, 19955, 20748, 13841, 366, 6459, 445, 924, 400, 2826, 888, 20941, 329, 1181, 285, 1901, 52, 199, 459, 1301, 5459, 448, 374, 1343, 23839, 32105, 22885, 1211, 539, 380, 1883, 323, 37373, 1222, 485, 26175, 753, 637, 35, 199, 27193, 47367, 618, 57, 887, 22795, 636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2650, 22222, 411, 7963, 332, 741, 5461, 26366, 2266, 266, 552, 36120, 507, 10420, 287, 518, 24904, 3683, 7639, 1045, 199, 323, 990, 338, 814, 273, 704, 13965, 1453, 624, 427, 1931, 328, 3007, 413, 42516, 2005, 31649, 1838, 23132, 48573, 199, 31893, 3627, 12417, 1812, 368, 375, 1330, 291, 2080, 8568, 668, 29995, 376, 624, 25605, 634, 509, 48747, 1108, 35, 199, 51, 465, 344, 16244, 2246, 23538, 1185, 1964, 5872, 409, 1148, 1018, 441, 2143, 1550, 47957, 1741, 653, 450, 19448, 734, 199, 2182, 457, 2709, 17471, 698, 268, 2469, 1938, 419, 1356, 508, 592, 31964, 369, 8049, 328, 1825, 1331, 199, 0, 199, 2650, 9660, 411, 5494, 33277, 1758, 7571, 298, 4494, 293, 9338, 40262, 3146, 12952, 518, 24904, 3683, 7639, 1045, 199, 323, 990, 12122, 876, 18362, 9133, 387, 624, 427, 1975, 328, 3007, 413, 42516, 2005, 5343, 25879, 691, 396, 2920, 199, 34567, 3627, 19518, 1812, 368, 375, 1330, 301, 2080, 8233, 1052, 29995, 376, 609, 18778, 634, 509, 48747, 1108, 35, 199, 51, 465, 344, 423, 11582, 402, 745, 1185, 1964, 5872, 276, 1148, 18554, 463, 1605, 466, 355, 1436, 397, 653, 10455, 612, 734, 199, 2182, 457, 33490, 351, 698, 410, 2469, 283, 3352, 1851, 508, 1357, 33980, 27366, 1834, 24028, 39754, 199, 0, 199, 2650, 14085, 21843, 1870, 263, 1758, 7571, 298, 4494, 293, 655, 29150, 507, 10420, 287, 518, 24904, 3683, 7639, 1045, 199, 323, 990, 338, 6119, 858, 421, 8210, 2143, 624, 427, 1931, 328, 3007, 413, 42516, 2005, 5343, 477, 11965, 285, 48573, 199, 34567, 3627, 401, 9937, 466, 12099, 22005, 2080, 8233, 764, 29995, 376, 609, 25605, 634, 509, 48747, 1108, 35, 199, 51, 465, 344, 16244, 500, 402, 766, 1185, 1964, 4257, 276, 1148, 301, 17359, 1605, 466, 47957, 1741, 914, 10455, 485, 734, 199, 2182, 34807, 546, 351, 698, 335, 2469, 283, 3352, 32182, 477, 705, 705, 359, 2150, 4181, 335, 7552, 199, 0, 199, 2650, 9660, 411, 5494, 33277, 1758, 7571, 298, 4494, 293, 9338, 40262, 3146, 12952, 518, 24904, 3683, 7639, 1045, 199, 323, 990, 338, 6119, 858, 421, 1214, 24427, 624, 427, 1931, 328, 3007, 413, 42516, 2005, 5343, 25879, 691, 396, 2281, 199, 34567, 4876, 19518, 1812, 368, 375, 1330, 301, 2080, 8233, 764, 29995, 376, 624, 18778, 634, 509, 48747, 1108, 35, 199, 51, 465, 344, 423, 11582, 402, 745, 1185, 1964, 5872, 276, 1148, 18554, 463, 1605, 466, 355, 1436, 397, 653, 10455, 612, 734, 199, 2182, 457, 33490, 351, 698, 410, 2469, 283, 3352, 1851, 508, 1357, 33980, 27366, 1834, 24028, 39754, 199, 0, 199, 2650, 14085, 21843, 1870, 263, 1758, 7571, 298, 4494, 293, 655, 29150, 507, 10420, 287, 518, 24904, 3683, 7639, 1045, 199, 323, 990, 338, 6119, 858, 421, 8210, 2143, 624, 427, 1931, 328, 3007, 413, 42516, 2005, 5343, 477, 11965, 285, 48573, 199, 34567, 3627, 401, 9937, 466, 12099, 22005, 2080, 8233, 764, 29995, 376, 609, 25605, 634, 509, 48747, 1108, 35, 199, 51, 465, 344, 1580, 352, 2313, 753, 1185, 1964, 4257, 276, 1148, 301, 2616, 648, 371, 466, 47957, 1741, 914, 10455, 485 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 724, 5663, 326, 5840, 528, 669, 498, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1081, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 514, 35290, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 25222, 1792, 2713, 7556, 317, 899, 1110, 287, 1669, 458, 1076, 4640, 2553, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 39231, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 3089, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 392, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 48911, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 48911, 1416, 199, 461, 360, 1186, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 9228, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 2224, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 778, 28059, 339, 6198, 22269, 2868, 1733, 5016, 452, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 329, 199, 2691, 13220, 382, 368, 1063, 331, 1568, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 19660, 790, 2037, 296, 1486, 275, 199, 823, 20770, 362, 594, 282, 6667, 342, 44989, 6440, 926, 409, 3347, 1199, 416, 595, 14263, 535, 543, 547, 9586, 712, 294, 199, 285, 890, 22414, 3006, 259, 27117, 692, 31373, 1241, 14372, 6585, 1053, 483, 5566, 542, 1025, 1203, 28288, 33799, 199, 330, 16368, 35861, 3273, 484, 675, 259, 199, 0, 199, 1809, 23579, 538, 563, 789, 3480, 31813, 584, 2092, 8535, 15486, 27644, 4379, 587, 603, 300, 1072, 2778, 199, 260, 1765, 16045, 630, 28073, 2275, 2068, 8778, 358, 43831, 859, 4253, 1800, 517, 342, 2469, 754, 455, 873, 554, 199, 267, 3585, 258, 1196, 26610, 1932, 953, 8334, 264, 1095, 301, 5017, 635, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 3807, 1889, 4220, 970, 609, 1289, 428, 2130, 580, 301, 32676, 24208, 46009, 472, 3631, 703, 11131, 776, 199, 44524, 35696, 843, 612, 3449, 17234, 3832, 3116, 11909, 1346, 10476, 3210, 683, 363, 3596, 199, 0, 199, 574, 423, 596, 35, 15888, 3716, 5447, 630, 358, 956, 275, 702, 401, 4486, 445, 6281, 296, 1123, 30711, 24305, 566, 199, 19960, 1139, 550, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 2935, 410, 795, 41879, 5219, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 469, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 382, 368, 2013, 331, 1568, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 1752, 561, 271, 2037, 296, 1486, 10554, 199, 349, 20770, 33239, 48459, 1185, 475, 18868, 1805, 263, 1517, 727, 1199, 416, 595, 14263, 535, 543, 547, 9586, 712, 16563, 199, 357, 3339, 417, 3006, 31970, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 28288, 424, 17916, 199, 1630, 441, 35861, 3273, 35341, 735, 49, 199, 0, 199, 1100, 2083, 411, 1696, 37579, 4144, 9242, 450, 804, 356, 853, 287, 3699, 25725, 4865, 28046, 330, 534, 13590, 443, 199, 39, 633, 15264, 3638, 362, 535, 17989, 1939, 22462, 1061, 5855, 1473, 400, 2826, 888, 677, 35190, 9854, 425, 20109, 199, 1682, 4534, 5507, 841, 340, 1214, 4967, 2947, 264, 7562, 772, 700, 379, 37373, 1222, 485, 421, 22416, 678, 264, 384, 54, 199, 337, 717, 21862, 21197, 330, 4277, 712, 19513, 3991, 1877, 12287, 289, 1902, 317, 741, 510, 2467, 47871, 859, 276, 199, 0, 199, 1809, 23579, 538, 563, 789, 3480, 31813, 584, 2092, 8535, 15486, 27644, 4379, 587, 603, 300, 1072, 2778, 199, 260, 1765, 16045, 630, 28073, 2275, 789, 8778, 358, 43831, 859, 4253, 1800, 517, 342, 2469, 754, 455, 873, 554, 199, 267, 3585, 258, 1196, 26610, 1932, 953, 8334, 264, 1095, 301, 5017, 635, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 3807, 1889, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 827, 13675, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 514, 35290, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 21265, 578, 326, 5840, 484, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 25222, 1792, 2713, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1394, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 199, 14655, 2849, 667, 5691, 352, 821, 381, 15006, 894, 434, 10402, 55, 2484, 503, 25093, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 349, 1400, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 8510, 515, 4661, 199, 3354, 1269, 1834, 2063, 1754, 284, 1956, 18505, 435, 811, 1529, 1726, 766, 501, 1121, 24032, 2391, 1453, 347, 2777, 199, 444, 26676, 6133, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 401, 385, 1415, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 12608, 316, 199, 37, 502, 8188, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 1064, 259, 1224, 300, 1721, 268, 528, 3735, 199, 5000, 320, 962, 749, 316, 1781, 199, 0, 199, 1100, 3007, 960, 2133, 1057, 1703, 4209, 16349, 451, 969, 19946, 1236, 455, 1520, 391, 1762, 27535, 332, 1381, 390, 199, 14655, 2849, 667, 5691, 353, 1092, 381, 15006, 894, 434, 10402, 55, 2484, 503, 25093, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 349, 1400, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 8510, 515, 4661, 199, 12077, 1269, 15614, 2063, 1754, 39085, 315, 897, 435, 811, 27255, 352, 766, 501, 1121, 24032, 1453, 287, 1395, 2777, 199, 37255, 399, 3552, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 382, 1330, 8483, 6603, 2081, 869, 2707, 17500, 640, 271, 801, 1793, 276, 199, 318, 1398, 46, 199, 0, 199, 6463, 1128, 4049, 411, 437, 321, 487, 430, 1362, 1080, 272, 680, 31899, 327, 1390, 751, 473, 34247, 1327, 633, 12852, 199, 36, 681, 32090, 439, 1140, 340, 5567, 710, 5964, 2633, 323, 4883, 532, 14712, 785, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 315, 1890, 12089, 1236, 295, 3959, 16095, 23192, 1883, 48747, 398, 1222, 1923, 298, 3919, 855, 628, 1656, 199, 16717, 10555, 7149, 435, 1046, 5850, 385, 1330, 8483, 3854, 2081, 1157, 291, 11481, 590, 38003, 801, 1132, 276, 199, 267, 1638, 46, 199, 0, 199, 26479, 15292, 984, 260, 798, 457, 13883, 5856, 804, 356, 1800, 287, 2820, 25725, 4865, 312, 33022, 360, 320, 6572, 199, 323, 633, 15264, 643, 357, 470, 925, 419, 8299, 440, 1061, 5990, 1473, 400, 2826, 888, 677, 28598, 9854, 425, 10589, 199, 15262, 2590, 379, 1283, 875, 321, 1053, 374, 2947, 264, 7562, 772, 700, 379, 37373, 1222, 485, 421, 22416, 816, 264, 384, 199, 935, 32564, 618, 36681, 29308, 778, 279, 554, 536, 32765, 10334, 1543, 1902, 317, 741, 510, 1874, 47871, 4079, 46, 199, 276, 199, 0, 199, 6463, 1128, 3275, 411, 5516, 271, 530, 704, 268, 1080, 272, 680, 380, 33783, 1033, 671, 552, 34247, 1327, 633, 3177, 199, 36, 681, 300, 18635, 1140, 340, 5567, 710, 5964, 2633, 1108, 45122, 2265, 335, 913, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 452, 1890, 40050, 1903, 295, 1263, 328, 19708, 354, 1883, 48747, 398, 1222, 1923, 298, 4273, 855, 628, 1656, 199, 36, 543, 8921, 7149, 435, 4295, 5850, 382, 1330, 8483, 4717, 2229, 1111, 3321, 351, 590, 38003, 801, 1793, 276, 199, 6548, 1497, 199, 0, 199, 382, 624, 31518, 664, 1633, 350, 8029, 1134, 670, 350, 602, 41341, 6023, 283, 712, 13444, 266, 9182, 852, 415, 24623, 199, 1287, 1499, 798, 5230, 3596, 46097, 1983, 45090, 340, 908, 4783, 379, 354, 1134, 3615, 543, 818, 18588, 33, 199, 379, 55, 1280, 319, 2785, 49576, 8955, 1273, 605, 21132, 1876, 1285, 340, 871, 411, 8959, 325, 199, 0, 199, 1857, 7405, 10444, 43387, 1304, 10550, 1630, 352, 761, 337, 16349, 359, 873, 30564, 653, 367, 10303, 399, 2152, 1785, 199, 276, 2166, 16037, 766, 367, 502, 1196, 625, 1045, 342, 469, 387, 2919, 26747, 1810, 655, 353, 447, 1753, 808, 313, 9631, 446, 199, 862, 280, 1048, 1405, 3276, 388, 1423, 2105, 1219, 30353, 25508, 388, 4217, 820, 33376, 424, 860, 4975, 953, 507, 199, 8705, 1344, 15660, 533, 10346, 340, 566, 13048, 1053, 473, 44720, 33204, 1730, 1726, 476, 4515, 1121, 419, 2462, 328, 2704, 199, 7441, 6624, 451, 4750, 443, 6934, 199, 0, 199, 419, 1300, 364, 8138, 639, 457, 3650, 1394, 964, 461, 1274, 276, 8810, 2951, 17761, 805, 604, 4266, 696, 37584, 358, 199, 605, 882, 362, 399, 516, 2147, 14139, 199, 0, 199, 419, 1300, 15286, 350, 614, 457, 4685, 2258, 964, 461, 1274, 276, 8810, 2951, 17761, 805, 604, 4266, 696, 37584, 358, 199, 605, 882, 362, 2390, 342, 562, 14139 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 799, 5734, 474, 271, 616, 773, 55, 2047, 595, 313, 199, 13758, 360, 3043, 2514, 448, 511, 11623, 750, 585, 17067, 1645, 350, 6658, 318, 18583, 322, 14351, 726, 416, 12834, 6077, 199, 384, 511, 2855, 1444, 294, 2574, 431, 568, 339, 568, 289, 993, 463, 5591, 3576, 1275, 394, 9607, 395, 525, 420, 439, 9990, 199, 11507, 452, 864, 257, 1128, 22397, 498, 435, 924, 265, 456, 265, 1858, 413, 1543, 390, 8102, 448, 1039, 6419, 3063, 347, 199, 467, 504, 4667, 18823, 30711, 390, 485, 9317, 4474, 513, 3646, 609, 23937, 397, 1740, 50, 1503, 301, 6619, 7369, 199, 347, 825, 1392, 427, 33045, 1059, 378, 603, 46717, 5165, 3041, 13903, 24066, 1587, 361, 1255, 435, 3933, 3158, 15080, 199, 20512, 1196, 370, 888, 27098, 562, 402, 1846, 291, 586, 1655, 454, 2624, 350, 4898, 525, 11165, 1500, 474, 453, 11212, 199, 522, 370, 703, 325, 4943, 22853, 770, 6903, 199, 0, 199, 3222, 1019, 648, 6425, 527, 5994, 2182, 513, 951, 22265, 1482, 6546, 1070, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 630, 445, 390, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 378, 199, 0, 199, 468, 11525, 435, 17026, 833, 442, 1850, 13095, 503, 360, 449, 1921, 1134, 34396, 270, 1612, 7645, 1375, 267, 1631, 569, 199, 1021, 290, 1291, 329, 8800, 1138, 292, 519, 2584, 4621, 289, 2727, 258, 2346, 1328, 322, 1025, 623, 28292, 282, 707, 199, 752, 1473, 1093, 380, 11348, 696, 274, 16278, 1000, 6676, 333, 504, 519, 4333, 887, 700, 643, 278, 24660, 525, 360, 199, 36378, 1165, 462, 6818, 23718, 531, 6096, 985, 730, 381, 1012, 322, 6043, 1089, 12614, 375, 390, 1875, 332, 1328, 745, 41, 199, 39, 1027, 1717, 16760, 1929, 291, 603, 397, 1107, 377, 1359, 501, 744, 473, 767, 395, 1070, 595, 384, 978, 3143, 299, 7065, 199, 39, 3552, 26862, 484, 23794, 334, 3227, 608, 783, 401, 34048, 1498, 21441, 8556, 508, 3560, 263, 929, 811, 9235, 199, 2357, 8479, 435, 1936, 35, 199, 0, 199, 3222, 768, 384, 837, 2595, 5994, 1252, 13451, 492, 321, 11978, 4796, 1070, 1739, 1483, 682, 884, 37891, 1237, 199, 34172, 21839, 9602, 395, 486, 280, 5650, 317, 1408, 16256, 33304, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 30555, 4548, 337, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1093, 3807, 33, 199, 656, 2911, 409, 3358, 29177, 933, 46920, 778, 14310, 18845, 9739, 486, 1085, 9965, 275, 1053, 728, 1116, 319, 199, 424, 1770, 3142, 899, 7719, 1516, 361, 11717, 1028, 49131, 818, 44440, 297, 1030, 378, 199, 0, 199, 339, 847, 599, 12036, 715, 693, 18491, 446, 377, 498, 475, 31388, 573, 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 ]
[ 406, 1959, 1574, 360, 3406, 13004, 1978, 1754, 43328, 28353, 38145, 1341, 284, 2628, 406, 199, 324, 1178, 322, 3552, 526, 382, 1651, 1973, 280, 961, 380, 716, 8997, 6796, 199, 0, 199, 19969, 33490, 425, 15476, 10098, 662, 47713, 1692, 332, 674, 14117, 1790, 669, 289, 723, 6124, 524, 9767, 1686, 8192, 199, 275, 4364, 284, 1722, 272, 3158, 4997, 370, 9464, 2163, 9308, 452, 2007, 6446, 278, 716, 2456, 674, 1158, 25711, 199, 19176, 521, 898, 441, 4129, 373, 4800, 7655, 4040, 287, 2436, 42521, 600, 19353, 590, 33734, 1268, 319, 1913, 5977, 38, 199, 319, 388, 10164, 8992, 370, 27410, 1561, 813, 8216, 657, 406, 1973, 40194, 357, 2823, 290, 22540, 39143, 2112, 595, 199, 39383, 275, 9648, 4540, 265, 439, 2086, 322, 484, 32801, 769, 3515, 957, 633, 1439, 440, 1488, 489, 461, 893, 1397, 199, 986, 3037, 283, 525, 383, 517, 1428, 1569, 3229, 345, 5359, 1152, 4676, 513, 31760, 329, 1469, 9271, 543, 29879, 199, 44, 16067, 5922, 645, 1846, 259, 1077, 298, 744, 3656, 387, 4930, 692, 264, 1314, 258, 3688, 489, 1971, 52, 199, 0, 199, 1552, 338, 2989, 287, 408, 49704, 1413, 8708, 837, 32392, 432, 19244, 743, 846, 341, 1025, 14564, 820, 295, 820, 33, 199, 5213, 519, 473, 3570, 1330, 1949, 574, 347, 472, 360, 1130, 375, 5956, 333, 2138, 388, 1170, 623, 324, 4719, 1553, 2250, 199, 686, 839, 1733, 3413, 708, 504, 695, 284, 3026, 267, 1885, 10893, 465, 489, 29403, 1659, 257, 846, 4662, 3333, 199, 39537, 7019, 29013, 406, 795, 444, 1686, 8763, 1334, 316, 441, 7160, 6590, 327, 1539, 2124, 1199, 1627, 270, 1628, 326, 199, 618, 1838, 781, 1245, 261, 5742, 375, 1000, 2844, 273, 1515, 6772, 1091, 9949, 3268, 314, 2133, 29391, 2052, 15717, 199, 6595, 5978, 34932, 5867, 19759, 1088, 342, 2523, 459, 350, 880, 313, 1568, 20857, 354, 1779, 264, 614, 630, 732, 199, 2875, 1943, 629, 45828, 291, 2096, 14033, 384, 1460, 387, 2472, 257, 3979, 41, 199, 0, 199, 382, 4055, 652, 3894, 6022, 6359, 487, 1239, 2676, 944, 420, 422, 3777, 2368, 279, 1273, 260, 727, 1666, 45, 199, 457, 47427, 545, 5003, 1287, 292, 7862, 642, 3071, 16043, 3055, 327, 586, 354, 30497, 2875, 948, 291, 1087, 199, 902, 4984, 15712, 2317, 285, 1287, 570, 415, 7933, 502, 1540, 1104, 5579, 10952, 43584, 2408, 570, 282, 16223, 199, 21758, 668, 312, 2116, 1944, 933, 503, 314, 2160, 389, 611, 5080, 321, 796, 1401, 11000, 1290, 22956, 291, 2290, 439, 199, 640, 269, 636, 426, 7202, 837, 25023, 1674, 11795, 420, 23803, 2829, 887, 285, 1090, 299, 2798, 735, 261, 699, 18327, 199, 31688, 656, 16990, 430, 577, 6483, 659, 13289, 570, 378, 760, 474, 348, 5081, 3210, 1127, 23443, 329, 516, 11632, 199, 381, 11970, 338, 631, 288, 388, 35, 1494, 1974, 36799, 533, 319, 691, 21956, 945, 25901, 335, 45, 199, 0, 199, 1059, 289, 432, 537, 473, 355, 1149, 3439, 7880, 366, 963, 372, 504, 355, 768, 343, 445, 22707, 5960, 2251, 25702, 329, 199, 1835, 299, 21106, 422, 11791, 13064, 365, 8054, 1825, 345, 373 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 845, 22065, 672, 2720, 1630, 655, 373, 1576, 2736, 8537, 260, 3131, 491, 1205, 2159, 4477, 199, 1815, 15472, 1381, 390, 1442, 926, 727, 618, 274, 1234, 48331, 610, 315, 19523, 924, 655, 361, 1761, 33754, 1877, 274, 199, 6419, 345, 1243, 49, 887, 280, 382, 1590, 40, 1342, 39734, 12383, 1455, 501, 2206, 12219, 11434, 492, 7297, 857, 629, 491, 199, 17719, 812, 19587, 1135, 28632, 340, 673, 466, 1446, 5777, 464, 21845, 1341, 290, 26057, 346, 6246, 411, 360, 3261, 26943, 199, 36, 2449, 32798, 1092, 260, 1500, 9223, 199, 0, 199, 445, 1560, 3630, 855, 37666, 39794, 935, 278, 13670, 1575, 293, 2001, 279, 1858, 321, 982, 485, 459, 520, 374, 2531, 547, 199, 391, 748, 372, 3304, 28581, 3381, 257, 749, 3293, 368, 338, 1404, 14033, 8224, 28827, 828, 23044, 1264, 15075, 544, 199, 39, 541, 17467, 278, 7255, 759, 425, 8428, 1165, 924, 4151, 3147, 491, 31783, 550, 390, 425, 4138, 1656, 280, 2780, 329, 199, 749, 1213, 3149, 466, 6188, 35267, 335, 766, 297, 919, 277, 520, 14844, 2444, 367, 430, 4751, 294, 21846, 2087, 41, 199, 3146, 2866, 8408, 11814, 1087, 4090, 3704, 20414, 12864, 11708, 399, 5440, 575, 3893, 294, 1982, 398, 7728, 199, 840, 32310, 4997, 1334, 24929, 490, 574, 1888, 727, 981, 3488, 840, 3892, 199, 0, 199, 12811, 1875, 638, 288, 2894, 321, 2766, 704, 268, 1080, 272, 912, 380, 33783, 1033, 873, 473, 1484, 34430, 633, 7669, 199, 36, 681, 32090, 439, 1140, 340, 7928, 710, 5964, 2947, 323, 10445, 532, 14712, 785, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 315, 1890, 285, 372, 1005, 295, 3959, 749, 1080, 354, 1883, 1902, 325, 6675, 1923, 298, 23838, 855, 628, 1656, 199, 20473, 10555, 7149, 435, 4295, 5647, 382, 1877, 8483, 6603, 2229, 1111, 265, 2895, 5719, 447, 751, 1669, 13847, 199, 22381, 373, 199, 0, 199, 3222, 1019, 648, 6425, 527, 5994, 2182, 15659, 492, 5417, 1482, 6546, 1070, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 630, 21839, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 516, 2980, 592, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 378, 199, 0, 199, 3222, 1454, 648, 6425, 527, 5994, 2182, 513, 951, 22265, 1482, 283, 708, 290, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 630, 21839, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 282, 1177, 652, 199, 424, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1853, 39595, 199, 330, 42771, 637, 21157, 12214, 28950, 478, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 282, 852, 267, 9461, 199, 10615, 690, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 282, 1177, 652, 424, 1770, 7605, 43, 199, 275, 7719, 1516, 361, 11717, 1028, 404, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 624, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 301, 7722, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 47262, 2966, 444, 24634, 17709, 6589, 27226, 427, 3775, 277, 517, 5200, 1290, 6687, 24649, 515, 323, 626, 332, 1855, 199, 4750, 278, 1662, 2079, 656, 273, 2023, 295, 28611, 9213, 575, 770, 417, 1677, 282, 4082, 1955, 377, 590, 2894, 32897, 497, 199, 24555, 22344, 434, 4785, 2320, 4078, 613, 375, 413, 545, 8400, 708, 677, 22727, 24687, 36642, 2884, 829, 268, 1652, 199, 572, 268, 18184, 661, 348, 780, 335, 535, 503, 685, 11169, 3255, 199, 0, 199, 382, 3453, 16538, 1415, 22644, 365, 476, 1396, 295, 539, 12413, 55, 624, 1290, 1658, 319, 2793, 427, 442, 31298, 1765, 43, 199, 4739, 14719, 2789, 441, 1077, 32765, 2755, 3475, 511, 513, 1082, 547, 288, 5532, 681, 1455, 6484, 2419, 344, 8859, 199, 428, 2873, 560, 603, 288, 1371, 457, 4776, 481, 407, 1504, 17147, 14937, 1582, 1067, 323, 990, 313, 521, 404, 9968, 534, 199, 602, 675, 338, 1242, 297, 7166, 31619, 2416, 2097, 37260, 422, 1478, 13194, 1980, 299, 705, 371, 11136, 273, 4383, 436, 199, 26350, 1173, 18670, 708, 1055, 323, 1171, 583, 17235, 475, 7520, 868, 10460, 50217, 337, 632, 12171, 1268, 263, 2051, 199, 3243, 2177, 647, 1375, 369, 9507, 1818, 1074, 2102, 313, 16457, 1897, 408, 3564, 1173, 50180, 5186, 593, 49994, 199, 470, 284, 3878, 776, 9028, 542, 1325, 6947, 12633, 19149, 465, 8516, 740, 40934, 525, 857, 10455, 1821, 344, 6372, 199, 605, 15993, 1331, 632, 892, 2096, 444, 746, 559, 2583, 279, 12174, 1729, 5570, 2560, 39931, 386, 554, 21097, 521, 447, 199, 1933, 1097, 1978, 10301, 199, 0, 199, 1591, 271, 754, 295, 1187, 358, 614, 10228, 1215, 471, 3021, 336, 1308, 7922, 6677, 2229, 12202, 3569, 768, 317, 199, 14152, 259, 1470, 548, 10143, 954, 358, 3234, 679, 301, 931, 2826, 1349, 55, 3310, 285, 723, 49, 1183, 3048, 391, 4062, 199, 1626, 2483, 300, 832, 5530, 423, 692, 400, 603, 1562, 582, 6846, 11786, 1131, 344, 4285, 3624, 3158, 356, 636, 33, 199, 39, 23563, 633, 695, 408, 5037, 4730, 9444, 353, 550, 636, 278, 788, 4014, 2458, 4627, 5084, 5353, 49, 1360, 17314, 199, 479, 281, 9558, 1803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 1362, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 339, 16542, 620, 2778, 2761, 353, 1704, 7543, 37349, 446, 1439, 554, 535, 504, 2380, 8854, 199, 33340, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 5681, 1053, 483, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 5852, 2581, 465, 7672, 26620, 1707, 10257, 3330, 294, 433, 2080, 6237, 393, 809, 11878, 289, 2187, 199, 31347, 399, 1172, 371, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 13874, 313, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3214, 352, 6311, 2497, 372, 1649, 299, 199, 21345, 376, 5594, 36613, 365, 13944, 357, 2566, 8722, 352, 542, 21620, 357, 585, 27833, 823, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 339, 25662, 620, 386, 2518, 4340, 1704, 7543, 37349, 446, 1439, 554, 535, 504, 2380, 8854, 199, 28028, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 5681, 1053, 483, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 445, 9142, 1229, 389, 752, 634, 18611, 43901, 1556, 46022, 3763, 17806, 441, 1939, 9527, 1883, 5950, 3660, 199, 9098, 584, 448, 750, 1984, 9072, 1271, 578, 6285, 10497, 457, 6690, 41155, 9792, 7178, 338, 7741, 689, 199, 1142, 463, 406, 1051, 1464, 3120, 325, 3642, 271, 26240, 1558, 513, 387, 3827, 1011, 314, 1065, 16246, 699, 295, 3676, 199, 378, 1258, 1274, 330, 471, 1598, 472, 669, 5491, 946, 464, 13378, 1767, 501, 2199, 23213, 988, 1703, 7080, 10440, 199, 18919, 11163, 43, 1096, 279, 1427, 512, 5541, 12552, 555, 2668, 3786, 1061, 4099, 28969, 1443, 330, 804, 772, 408, 199, 3534, 2456, 371, 4997, 1224, 362, 5303, 1814, 1451, 282, 1016, 362, 1264, 2691, 3181, 1809, 4662, 35468, 527, 199, 1253, 1160, 279, 3902, 1436, 397, 8151, 19108, 3673, 942, 38605, 1324, 6671, 397, 8065, 280, 1102, 348, 1944, 199, 1519, 430, 1108, 23771, 439, 6286, 390, 4010, 486, 11326, 2600, 512, 6172, 1572, 1452, 4893, 525, 851, 544, 3291, 199, 17721, 1282, 5647, 440, 9351, 1205, 20455, 487, 23360, 261, 1083, 1754, 29093, 12217, 1233, 634, 742, 527, 259, 199, 3332, 20670, 1767, 3842, 1775, 4797, 348, 658, 325, 11008, 539, 14857, 1595, 1957, 633, 353, 1258, 43878, 559, 199, 39, 7713, 13455, 1642, 623, 1078, 374, 2081, 23393, 799, 289, 822, 406, 794, 19109, 973, 726, 406, 10503, 1109, 467, 199, 744, 413, 3912, 10160, 9464, 3052, 3037, 272, 2921, 862, 2456, 281, 734, 636, 398, 801, 31860, 1376, 361, 927, 50, 199, 1235, 780, 417, 1032, 18151, 769, 822, 313, 1880, 24389, 470, 12536, 28372, 457, 750, 513, 32153, 1974, 7778, 413, 199, 7578, 4318, 644, 440, 634, 5201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 626, 332, 1889, 199, 44, 9840, 1662, 2079, 656, 281, 2023, 282, 28611, 9213, 575, 770, 281, 1677, 282, 4082, 1955, 377, 590, 2894, 32897, 2266, 199, 26875, 22344, 434, 4785, 2320, 4078, 613, 19514, 545, 8400, 708, 268, 5298, 332, 1584, 36642, 2884, 829, 268, 12044, 199, 1235, 268, 20264, 661, 348, 780, 452, 535, 2707, 385, 11169, 3255, 199, 0, 199, 33655, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 799, 1116, 199, 22096, 504, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 44002, 754, 299, 503, 328, 1030, 199, 0, 199, 1266, 382, 859, 25066, 1594, 334, 1560, 1738, 517, 261, 909, 3076, 381, 2892, 382, 635, 57, 2760, 413, 9473, 420, 512, 199, 290, 652, 267, 2343, 395, 3965, 1241, 36735, 636, 4634, 4326, 645, 24764, 32414, 4115, 18551, 324, 6752, 11694, 55, 199, 296, 7709, 22066, 5121, 1876, 833, 489, 1028, 418, 573, 418, 30284, 891, 522, 1691, 277, 436, 2106, 584, 469, 468, 199, 21863, 2014, 281, 986, 351, 1428, 368, 19474, 873, 378, 485, 403, 1768, 1032, 680, 1342, 372, 429, 755, 2007, 344, 9237, 199, 361, 1282, 3859, 1587, 1070, 9105, 13397, 1540, 354, 499, 278, 761, 49332, 351, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 7884, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1402, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 277, 2228, 30129, 1439, 41391, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 14737, 7374, 1210, 1106, 4307, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 789, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 17658, 1338, 267, 497, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 44524, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 904, 2880, 376, 1045, 261, 199, 0, 199, 2367, 474, 2850, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 489, 479, 5650, 345, 750, 38712, 372, 433 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2251, 26762, 199, 0, 199, 339, 925, 1950, 267, 715, 42081, 10679, 2603, 2247, 283, 1960, 573, 284, 681, 2749, 268, 3066, 1695, 27161, 5749, 1008, 199, 345, 4926, 458, 2309, 495, 17717, 2697, 332, 1585, 383, 3777, 485, 353, 1630, 379, 371, 446, 15393, 315, 1684, 262, 1820, 12100, 199, 51, 3562, 2431, 374, 1444, 25964, 12609, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 401, 385, 1415, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 360, 26830, 199, 37, 502, 8188, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 1064, 259, 1224, 300, 1721, 268, 528, 3735, 199, 5000, 320, 962, 749, 316, 1781, 199, 0, 199, 3452, 19583, 21381, 430, 596, 2115, 7581, 2384, 49211, 2882, 315, 13330, 1205, 413, 1830, 10287, 350, 4274, 199, 1363, 519, 8706, 281, 4137, 348, 576, 45611, 493, 1443, 2041, 45340, 435, 3202, 1892, 280, 3111, 24318, 5037, 283, 1049, 199, 504, 15291, 378, 1520, 322, 2087, 364, 512, 784, 296, 455, 1105, 50209, 1127, 263, 1318, 951, 283, 592, 857, 342, 970, 48, 199, 44, 14829, 1340, 3579, 365, 728, 523, 2300, 349, 1053, 11431, 7264, 25526, 452, 823, 34958, 2512, 909, 970, 354, 199, 280, 1151, 317, 1283, 389, 7834, 866, 2685, 2161, 712, 360, 6963, 403, 199, 0, 199, 4566, 5001, 35, 2448, 279, 465, 7672, 41959, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 446, 24554, 6943, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 445, 764, 3813, 550, 501, 291, 1351, 12547, 651, 349, 678, 5356, 2520, 555, 1152, 2463, 759, 552, 2522, 20437, 199, 394, 4970, 358, 5300, 261, 842, 36513, 26663, 7540, 394, 359, 510, 3376, 27016, 699, 265, 2105, 429, 609, 403, 393, 199, 40054, 1034, 758, 579, 38155, 425, 2625, 279, 2591, 269, 39483, 10950, 359, 1179, 1334, 11653, 472, 17828, 1901, 332, 199, 1625, 32032, 500, 1422, 2735, 3912, 1024, 1091, 18035, 1966, 1165, 330, 1076, 1221, 4895, 427, 747, 407, 6405, 348, 199, 334, 14307, 2735, 57, 823, 279, 1382, 257, 703, 371, 1098, 287, 673, 325, 1451, 281, 2348, 29308, 1941, 26759, 543, 1292, 199, 425, 36017, 673, 405, 458, 9338, 21871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2063, 1754, 39085, 315, 1078, 435, 811, 27255, 352, 766, 501, 1121, 24032, 1453, 287, 1395, 2777, 199, 37255, 399, 3552, 199, 0, 199, 1100, 3007, 960, 2133, 1057, 1703, 4209, 16349, 451, 969, 19946, 1236, 455, 1520, 359, 1762, 27535, 332, 1381, 390, 199, 14655, 2849, 667, 324, 1135, 469, 17906, 15006, 894, 434, 10402, 55, 2484, 503, 25093, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 349, 1400, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 8510, 515, 4661, 199, 12077, 1269, 15614, 2063, 1754, 39085, 315, 1078, 435, 811, 27255, 352, 766, 501, 1121, 24032, 1453, 287, 1395, 2777, 199, 37255, 399, 3552, 199, 0, 199, 1100, 3007, 960, 2133, 1057, 1703, 4209, 16349, 451, 969, 19946, 1236, 455, 1520, 359, 1762, 27535, 332, 1381, 390, 199, 14655, 2849, 667, 5691, 353, 1092, 381, 15006, 894, 434, 10402, 55, 2484, 472, 25093, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 349, 2815, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 8510, 515, 4661, 199, 12077, 1269, 15614, 2063, 1754, 39085, 315, 1078, 435, 811, 27255, 352, 766, 501, 1121, 24032, 1453, 287, 1395, 2777, 199, 37255, 399, 3552, 199, 0, 199, 1100, 3007, 960, 2133, 1057, 1703, 4209, 16349, 451, 969, 19946, 1236, 455, 1520, 359, 1762, 27535, 332, 1381, 390, 199, 14655, 2849, 667, 5691, 353, 1092, 381, 15006, 894, 434, 10402, 55, 2484, 503, 25093, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 395, 2815, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 8510, 515, 4661, 199, 12077, 1269, 15614, 2063, 1754, 39085, 315, 1078, 435, 811, 27255, 352, 766, 501, 1121, 24032, 1453, 287, 1395, 2777, 199, 37255, 399, 3552, 199, 0, 199, 1100, 3007, 960, 2133, 1057, 1703, 4209, 16349, 451, 969, 19946, 1236, 455, 1520, 359, 1762, 27535, 332, 1381, 390, 199, 14655, 2849, 667, 5691, 353, 1092, 381, 15006, 894, 434, 10402, 55, 2484, 503, 25093, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 349, 2815, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 8510, 515, 4661, 199, 12077, 1269, 15614, 2063, 1754, 39085, 315, 1078, 435, 811, 27255, 357, 1250, 501, 1121, 24032, 1453, 287, 1395, 2777, 199, 37255, 399, 3552, 199, 0, 199, 1100, 3007, 960, 2133, 1057, 1703, 4209, 16349, 451, 969, 19946, 1236, 455, 1520, 359, 1762, 27535, 332, 1381, 390, 199, 14655, 2849, 667, 5691, 353, 1092, 381, 15006, 894, 434, 10402, 55, 2484, 503, 23989, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 349, 2815, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 8510, 515, 4661, 199, 12077, 1269, 15614, 2063, 1754, 39085, 315, 1078, 435, 811, 38, 1794, 352, 766, 501, 1121, 24032, 1453, 287, 1395, 2777, 199, 37255, 399, 3552, 199, 0, 199, 1100, 3007, 960, 2133, 1057, 1703, 4209, 16349, 451, 969, 19946, 1236, 455, 1520, 391, 1762, 27535, 332, 1381, 390, 199, 14655, 2849, 667, 324, 1135, 469 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 3089, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 392, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 8228, 898, 278, 1917, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 1916, 364, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 825, 455, 45725, 1307, 354, 610, 315, 11231, 1448, 48911, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 364, 899, 1110, 13395, 2151, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1394, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 48911, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 12779, 1110, 287, 1669, 373, 1076, 4640, 1205, 49 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 330, 2191, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 33340, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 363, 2187, 199, 31347, 6737, 10924, 1775, 19496, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 458, 773, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 2126, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 4875, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 574, 13267, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 30711, 23575, 518, 199, 45205, 1139, 1185, 2922, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2951, 347, 6076, 291, 22269, 2868, 1984, 16142, 31416, 1255, 446, 433, 3980, 23122, 296, 2967, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 2108, 1980, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 366, 10648, 46340, 280, 3853, 34010, 6382, 1180, 764, 49360, 259, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 322, 1199, 1111, 301, 1454, 467, 340, 992, 26303, 1254, 351, 199, 8736, 891, 360, 5957, 857, 609, 827, 428, 11162, 580, 301, 32676, 1612, 264, 22411, 472, 1381, 2461, 461, 1053, 273, 199, 13110, 35696, 843, 612, 298, 599, 584, 3832, 3116, 406, 2708, 17905, 7765, 789, 376, 881, 261, 199, 0, 199, 382, 23420, 1905, 5878, 332, 1870, 586, 322, 2995, 330, 1812, 2568, 1534, 2646, 38440, 1138, 354, 939, 2665, 497, 199, 329, 2077, 16045, 279, 1637, 1528, 7144, 2955, 20001, 653, 7720, 18810, 368, 479, 21451, 2767, 321, 2241, 14113, 45, 199, 10413, 1145, 430, 49, 1970, 13060, 1720, 385, 1038, 264, 696, 24525, 2021, 1111, 364, 1454, 467, 2485, 262, 22315, 1254, 199, 1934, 6680, 790, 13213, 953, 504, 983, 1400, 5769, 3020, 32676, 497, 1157, 11256, 282, 4480, 2461, 461, 1053, 199, 51, 395, 10774, 39572, 271, 612, 6385, 17234, 929, 28155, 1420, 1547, 43, 2229, 357, 754, 25574, 6490, 939, 199, 0, 199, 1513, 14074, 985, 24561, 361, 1427, 1738, 430, 261, 809, 36758, 496, 20230, 635, 1700, 1646, 447, 826, 420, 512, 199, 290, 1345, 634, 301, 395, 3652, 1241, 393, 1755, 5730, 435, 6209, 2066, 418, 13275, 50, 1141, 3160, 673, 6752, 2644, 50, 199, 7404, 334, 22066, 642, 1876, 5284, 9569, 373, 834, 2100, 366, 882, 279, 522, 603, 264, 436, 2106, 19983, 4620, 199, 21863, 2014, 314, 607, 351, 1428, 368, 48262, 7352, 41413, 27820, 8241, 39436, 466, 8103, 696, 398, 507, 3614, 199, 846, 339, 43439, 738, 1171, 6299, 10375, 923, 679, 30934, 31629, 336, 2236, 50, 199, 0, 199, 574, 13267, 736, 18067, 313, 47727, 923, 14150, 283, 3294, 330, 946, 279, 19570, 12045, 1123, 30711, 23575, 566, 199, 27927, 1139, 674, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 837, 346, 1594, 416, 712, 5219, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 452, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 432, 368, 2013, 44700, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 19660, 790, 1260, 296, 1486, 15080, 199, 349, 20770, 362, 594, 330, 6667, 330, 11402, 11541, 503, 1517, 727, 1199, 416, 595, 43128, 535, 543, 547, 9586, 712, 10646, 199, 15884, 1886, 335, 7974, 27117, 702, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 23771, 424, 17916, 199, 1647, 441, 35861, 3273, 629, 685, 1196, 199, 0, 199, 2260, 2076, 45827, 8102, 1218, 472, 21137, 478, 11989, 10886, 772, 15418, 792, 293, 3271, 296, 1123, 486, 909, 199, 2151, 2857, 349, 718, 4046, 597, 19726, 7970, 906, 295, 998, 52, 3117, 16966, 751, 360, 11392, 1119, 25956, 388, 199, 1108, 322, 17497, 375, 5746, 25405, 2868, 2556, 12802, 5637, 39798, 2497, 3504, 1422, 34491, 403, 372, 1649, 299, 199, 44, 15716, 3456, 2057, 507, 580, 385, 447, 689, 2449, 509, 425, 21620, 383, 360, 6231, 823, 372, 1360, 374, 23330, 8609, 199, 44, 786, 823, 328, 762, 2539, 394, 10868, 851, 294, 478, 4859, 6957, 458, 323, 3123, 637, 2411, 543, 3247, 2537, 48, 199, 812, 447, 2584, 2127, 360, 399, 1827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 978, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 385, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 37942, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 318, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 1088, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2888, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 287, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 888, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 377, 37297, 395, 674, 36319, 1473, 16370, 786, 325, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 385, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16280, 1530, 2266, 1056, 11202, 3807, 382, 2704, 199, 447, 6540, 1246, 3379, 425, 8586, 6791, 3466, 529, 1157, 13554, 472, 4041, 20058, 478, 776, 3224, 264, 1993, 460, 199, 25343, 913, 6882, 625, 32431, 325, 5164, 266, 3041, 839, 3492, 35267, 8988, 199, 0, 199, 19712, 347, 411, 929, 668, 426, 1252, 9242, 450, 804, 356, 328, 1354, 3699, 25725, 4865, 28046, 330, 656, 320, 11415, 199, 39, 633, 15264, 49760, 470, 925, 419, 8299, 440, 1061, 2952, 1473, 400, 2826, 888, 677, 35190, 9854, 425, 6152, 199, 1682, 4534, 5507, 841, 340, 1214, 4967, 2947, 264, 7562, 772, 700, 379, 37373, 1222, 485, 421, 22416, 678, 264, 384, 54, 199, 13689, 291, 618, 21197, 330, 4277, 712, 357, 5734, 872, 8040, 527, 363, 1902, 317, 741, 510, 1874, 47871, 859, 276, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 1408, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 602, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 3661, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 2057, 953, 566, 331, 502, 2411, 1806, 313, 1605, 286, 556, 379, 2023, 44868, 873, 636, 354, 2843, 337, 1205, 3149, 1435, 41, 199, 20329, 3361, 2816, 12584, 470, 20782, 1373, 29684, 1171, 2529, 1144, 1023, 46700, 1123, 28695, 1140, 269, 4081, 199, 275, 4082, 687, 2153, 5411, 820, 2825, 301, 6539, 376, 27739, 7584, 1938, 792, 317, 4811, 13907, 394, 371, 726 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1342, 3555, 1673, 31403, 540, 11675, 406, 2142, 547, 521, 942, 298, 4036, 199, 1508, 1402, 40281, 744, 1070, 344, 5570, 23270, 1342, 349, 500, 4906, 826, 457, 19161, 951, 313, 2505, 280, 1334, 538, 199, 259, 956, 48, 1656, 401, 573, 3025, 538, 6251, 33009, 430, 1754, 284, 11011, 24805, 299, 1341, 290, 2379, 888, 2009, 18335, 199, 44, 1376, 432, 11727, 1003, 11381, 561, 283, 526, 562, 485, 1530, 199, 0, 199, 468, 11938, 292, 2013, 24354, 1686, 715, 41318, 327, 733, 428, 287, 4314, 2147, 280, 1414, 1138, 742, 1761, 483, 199, 39, 2679, 6544, 317, 1038, 5874, 390, 3534, 273, 1577, 6836, 10464, 988, 292, 931, 293, 517, 294, 2771, 702, 13175, 199, 461, 19450, 489, 520, 291, 874, 417, 994, 330, 442, 27325, 514, 3205, 592, 9894, 7177, 17658, 340, 1530, 493, 422, 199, 1056, 11202, 331, 1168, 360, 3717, 9816, 1755, 625, 20893, 580, 14336, 3395, 1053, 37528, 888, 14750, 995, 284, 199, 15242, 1536, 12192, 1827, 10950, 2580, 370, 10479, 3813, 588, 480, 296, 851, 23563, 271, 754, 299, 6318, 571, 199, 0, 199, 6463, 920, 633, 259, 675, 415, 21326, 483, 2591, 297, 1080, 9360, 8723, 615, 1121, 38783, 647, 501, 364, 1996, 2301, 199, 1520, 9247, 779, 360, 4716, 34155, 1055, 35264, 338, 1547, 1476, 2288, 601, 402, 7986, 874, 653, 11779, 17777, 199, 417, 32038, 1834, 3390, 11001, 1574, 997, 832, 461, 20775, 318, 1195, 1362, 499, 2288, 353, 1934, 327, 891, 823, 357, 199, 48701, 9154, 6859, 35427, 796, 287, 42827, 982, 3379, 6034, 664, 3356, 397, 20368, 716, 1746, 43650, 1025, 199, 380, 1231, 41767, 920, 289, 2159, 43592, 6823, 391, 8523, 10976, 840, 352, 1007, 199, 0, 199, 19437, 7160, 495, 812, 5737, 592, 937, 315, 8679, 441, 1130, 412, 7297, 511, 446, 798, 357, 526, 13481, 1471, 2920, 199, 51, 24158, 3651, 331, 929, 8618, 293, 454, 6987, 984, 920, 7510, 6380, 497, 7786, 40, 199, 0, 199, 1824, 4515, 1123, 278, 1183, 289, 841, 259, 937, 366, 17002, 930, 274, 3026, 1172, 322, 1531, 3122, 337, 5327, 1556, 199, 21815, 46454, 23490, 2983, 381, 366, 896, 450, 3618, 299, 1239, 4602, 2742, 781, 17408, 373, 199, 0, 199, 2057, 2085, 352, 413, 499, 898, 14240, 737, 13565, 15461, 2484, 4402, 3522, 41919, 423, 2404, 38587, 16604, 480, 199, 15198, 721, 9382, 13424, 2276, 4628, 2579, 270, 1713, 37171, 369, 2633, 329, 1502, 451, 10763, 5092, 1401, 335, 2094, 199, 1877, 320, 864, 319, 1359, 20942, 2130, 504, 442, 1372, 10207, 3262, 333, 1913, 2261, 25062, 917, 3891, 601, 440, 43, 199, 507, 3262, 48291, 2723, 2363, 610, 28327, 35367, 20787, 9198, 16032, 14596, 856, 729, 34021, 798, 17599, 528, 199, 44, 539, 199, 0, 199, 18803, 338, 5982, 14462, 868, 14933, 446, 12142, 1393, 5206, 565, 20567, 1112, 1105, 706, 39067, 1014, 343, 1685, 41, 199, 1851, 3172, 1849, 946, 364, 667, 336, 7765, 387, 30100, 4821, 312, 1293, 361, 23588, 28005, 1231, 47038, 496, 6119, 199, 22660, 705, 518, 1360, 276, 831, 390, 559, 199, 0, 199, 2161, 25159, 384, 395, 674, 36319, 978, 19028, 37851 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 2526, 1017, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 3222, 768, 35, 787, 39203, 279, 835, 273, 15659, 492, 5417, 1482, 6546, 1070, 1372, 1483, 551, 884, 37891, 786, 199, 394, 630, 16724, 9602, 395, 486, 13682, 3166, 1408, 38712, 33304, 3827, 2288, 14150, 336, 1153, 23349, 2170, 33, 199, 258, 874, 417, 30555, 4548, 291, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4285, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 9461, 1320, 1207, 933, 46920, 778, 14310, 6910, 9739, 486, 854, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 1231, 1137, 7719, 1516, 361, 11717, 1028, 404, 474, 767, 44440, 297, 1030, 378, 199, 0, 199, 3222, 768, 35, 787, 257, 620, 279, 835, 273, 15659, 492, 5417, 1482, 6546, 1070, 1372, 1483, 551, 884, 37891, 786, 199, 394, 630, 16724, 9602, 395, 486, 13682, 3166, 1408, 38712, 33304, 3827, 2288, 14150, 336, 663, 23349, 2170, 33, 199, 258, 874, 417, 30555, 4548, 291, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4285, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 9461, 1320, 12017, 22515, 709, 778, 14310, 6910, 9739, 486, 1085, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 1231, 1137, 7719, 1516, 361, 11717, 1028, 404, 474, 767, 44440, 297, 1030, 378, 199, 0, 199, 3222, 768, 35, 787, 39203, 279, 835, 273, 15659, 492, 5417, 1482, 6546, 1070, 1372, 1483, 551, 884, 37891, 786, 199, 394, 630, 16724, 9602, 395, 486, 13682, 4182, 1408, 38712, 33304, 3827, 2288, 14150, 336, 1153, 24006, 2170, 33, 199, 258, 874, 417, 30555, 4548, 291, 637, 21157, 12214, 403, 15396, 30827, 467, 4991, 4285, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 9461, 1320, 1207, 933, 46920, 778, 14310, 6910, 9739, 486, 854, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 1231, 1137, 7719, 1516, 361, 11717, 1028, 404, 474, 767, 44440, 297, 1030, 378, 199, 0, 199, 1100, 1310, 4437, 26312, 801, 38, 2279, 284, 1066, 301, 1351, 37103, 1888, 419, 38756, 2136, 2475, 19822, 1367, 4488, 199, 1431, 1081, 10660, 349, 734, 13037, 406, 775, 850, 28923, 596, 374, 16315, 1083, 972, 1022, 408, 677, 4779, 33670, 199, 686, 1116, 1342, 14352, 970, 581, 25405, 2868, 38982, 1411, 350, 3627, 355, 3337, 3980, 392, 1085, 331, 15733, 386, 199, 42380, 1239, 2770, 579, 405, 1041, 498, 331, 3505, 731, 2173, 1544, 3868, 298, 933, 416, 1104, 506, 487, 374, 15048, 199, 17694, 878, 1746, 935, 25257, 1129, 796, 373, 2367, 933, 323, 3888, 4859, 377, 12747, 2135, 2198, 10537, 3247, 199, 2558, 741, 41155, 2584, 49379, 569, 2697, 33152, 415, 1085, 554, 364, 46390, 342, 1053, 483, 8179, 16966, 1600, 3495, 199, 284, 424, 6032, 404, 441, 861, 13960, 903, 270, 686, 40, 199, 0, 199, 1100, 1310, 4437, 26312, 801, 38, 2279, 273, 1066, 301, 1351, 37103, 2632, 2712, 39431, 2136, 2475, 19822, 1367, 33, 199, 363, 1443, 1186, 10660, 349, 734, 13037, 406, 775, 850, 28923, 596, 374, 16315, 901, 972, 1022, 408 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 588, 9776, 317, 1546, 266, 2166, 508, 4673, 22341, 347, 685, 6458, 538, 4346, 199, 623, 43205, 44052, 266, 504, 723, 976, 332, 2682, 289, 2271, 297, 831, 284, 4063, 3491, 1570, 30287, 199, 0, 199, 2158, 1572, 1689, 13449, 817, 6828, 3750, 443, 5106, 267, 30206, 391, 29058, 1402, 313, 2929, 631, 269, 508, 24330, 199, 277, 583, 5070, 409, 4247, 282, 588, 9776, 31259, 16987, 47662, 4673, 769, 408, 553, 11262, 6553, 22994, 15160, 199, 416, 386, 529, 3091, 443, 5185, 9157, 339, 2036, 10011, 34636, 4063, 262, 807, 4920, 199, 0, 199, 45022, 1689, 351, 915, 26567, 648, 525, 444, 468, 12873, 1121, 9763, 441, 1666, 24357, 1447, 452, 30561, 400, 5205, 199, 46767, 548, 21948, 295, 588, 289, 2361, 553, 4287, 1559, 508, 13384, 1039, 1060, 668, 9509, 2285, 259, 2416, 428, 402, 199, 621, 1346, 586, 6851, 10666, 918, 965, 1001, 640, 1671, 25705, 3491, 557, 16211, 494, 199, 0, 199, 45022, 1689, 351, 709, 471, 1050, 3630, 456, 33931, 5046, 1928, 17909, 57, 1402, 313, 2929, 631, 30561, 400, 19432, 199, 46507, 525, 2805, 1176, 588, 12572, 346, 13123, 567, 331, 508, 4673, 1039, 2151, 6171, 29535, 2935, 3340, 402, 199, 51, 1437, 35411, 4183, 671, 427, 918, 1135, 25441, 36638, 4063, 262, 1726, 1993, 389, 199, 0, 199, 1244, 361, 1409, 41188, 1380, 40147, 373, 1379, 1042, 4827, 1375, 364, 2332, 431, 33123, 1873, 1967, 16634, 790, 424, 199, 41046, 8762, 407, 8933, 2202, 1950, 1211, 20358, 18593, 957, 370, 1104, 261, 1217, 30527, 1253, 2200, 19621, 15582, 199, 293, 1734, 28525, 30444, 874, 262, 1089, 8815, 511, 2164, 428, 373, 8482, 931, 3312, 364, 766, 855, 41452, 671, 55, 199, 11148, 1111, 620, 312, 4383, 7157, 4419, 1668, 285, 1161, 296, 366, 566, 40936, 6990, 17292, 2419, 267, 473, 766, 610, 199, 31491, 1656, 17961, 395, 289, 1264, 858, 335, 10431, 351, 6911, 25248, 1672, 9638, 1223, 14078, 630, 347, 3776, 266, 199, 515, 260, 1150, 9210, 2495, 1471, 445, 2802, 47353, 956, 559, 2344, 371, 3092, 920, 293, 4036, 199, 0, 199, 15883, 743, 10238, 5650, 2793, 1338, 46314, 8835, 489, 438, 6719, 331, 1983, 554, 868, 403, 10065, 387, 879, 199, 327, 539, 3171, 7377, 922, 1056, 5104, 7896, 8140, 596, 3564, 486, 787, 6794, 9732, 17502, 496, 7350, 445, 199, 343, 1808, 1523, 1232, 1848, 832, 378, 36861, 1018, 272, 1421, 502, 32438, 642, 426, 1178, 1663, 7557, 478, 573, 23536, 199, 438, 317, 48054, 34082, 777, 7461, 2563, 617, 19467, 736, 10389, 380, 1614, 1140, 743, 340, 3207, 7283, 37323, 199, 48031, 1605, 33612, 2446, 991, 2054, 1067, 690, 15740, 2660, 6574, 361, 52, 2448, 9804, 9699, 641, 648, 34141, 199, 480, 5386, 6330, 954, 13622, 1200, 5087, 391, 593, 364, 632, 576, 357, 1495, 386, 432, 1159, 331, 2007, 23955, 1532, 33, 199, 24477, 340, 861, 369, 792, 2601, 300, 946, 422, 16554, 700, 434, 800, 22852, 2302, 402, 1820, 1355, 40778, 8802, 199, 13564, 279, 13578, 3159, 2128, 1796, 386, 666, 282, 6977, 297, 783, 3522, 362, 1810, 436, 556, 320, 2195, 2276, 271, 1748, 199, 11881, 3913 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 26303, 1254, 17419, 908, 199, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 1259, 52, 199, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 2526, 1547, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 568, 349, 52, 199, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 2839, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 280, 2004, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 2332, 33653, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 410, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 594, 330, 6667, 330, 11402, 4588, 503, 1517, 727, 1199, 416, 595, 43128, 535, 543, 547, 9586, 712, 10646, 199, 15884, 1886, 335, 7974, 584, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 20080, 424, 17916, 199, 1630, 441, 35861, 3273, 629, 685, 1196, 199, 0, 199, 574, 13267, 736, 18067, 313, 47727, 1152, 14150, 283, 3294, 330, 946, 279, 19570, 12045, 1123, 30711, 23575, 566, 199, 27927, 1139, 674, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 837, 346, 1594, 416, 712, 10831, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 452, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 15494, 13220, 432, 368, 2013, 44700, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 19660, 790, 1260, 296, 1486, 15080, 199, 349, 20770, 362, 594, 330, 6667, 330, 11402, 11541, 503, 1517, 727, 1199, 416, 595, 43128, 535, 543, 547, 9586, 712, 10646, 199, 15884, 1886, 335, 7974, 584, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 23771, 424, 17916, 199, 1647, 441, 35861, 3273, 629, 685, 1196, 199, 0, 199, 574, 13267, 736, 1385, 611, 47727, 923, 14150, 283, 3294, 330, 946, 279, 19570, 12045, 1123, 30711, 23575, 566, 199, 27927, 1139, 674, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 837, 24561, 416, 712, 10831, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 452, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 432, 368, 2013, 44700, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 19660, 790, 1260, 296, 1486, 15080, 199, 349, 20770, 362, 594, 330, 6667, 330, 11402, 4588, 503, 1517, 727, 1199, 416, 595, 43128, 535, 543, 547, 9586, 712, 10646, 199, 15884, 1886, 335, 7974, 584, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 23771, 424, 17916, 199, 1630, 441, 35861, 3273, 629, 685, 1196, 199, 0, 199, 574, 13267, 736, 18067, 313, 47727, 1152, 14150, 283, 3294, 330, 946, 279, 19570, 12045, 1123, 30711, 23575, 566, 199, 27927, 1139, 674, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 837, 346, 1594, 416, 712, 10831, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 452, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 432, 368, 2013, 44700, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 19660, 790, 1260, 296, 1486, 15080, 199, 349, 20770, 362, 594, 330, 6667, 330, 11402, 11541, 503, 1517, 727, 1199, 416, 595, 43128, 535, 543, 547, 9586, 712, 10646, 199, 497, 2940, 417, 3006, 31970, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 23771, 424, 17916, 199, 1647, 441, 35861, 3273, 629, 685, 1196, 199, 0, 199, 574, 13267, 736, 18067, 313, 47727, 1152, 14150, 283, 3294, 330, 946, 279, 19570, 12045, 1123, 30711, 23575, 566, 199, 27927, 1139, 674, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 837, 346, 1594, 416, 712, 10831, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 452, 2707, 394, 3020, 3980, 19445 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 3964, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 482, 10290, 3466, 288, 9399, 1349, 1873, 1598, 494, 35844, 3187, 968, 488, 11902, 1028, 2063, 296, 1123, 278, 412, 199, 9243, 532, 18413, 734, 11629, 443, 7138, 12028, 906, 9048, 439, 707, 264, 1172, 579, 322, 596, 13735, 610, 325, 199, 3175, 24687, 1178, 482, 618, 425, 1056, 2868, 457, 5784, 1593, 265, 17146, 1317, 741, 370, 441, 28207, 39402, 1649, 199, 825, 33003, 6299, 419, 38096, 19492, 443, 689, 322, 5338, 25662, 893, 515, 1824, 57, 823, 372, 1356, 33648, 682, 199, 39, 667, 314, 823, 12549, 259, 3012, 21023, 1376, 265, 669, 370, 2923, 2068, 458, 25505, 1820, 330, 529, 543, 547, 446, 199, 2833, 15950, 2584, 1013, 594, 4195, 583, 31151, 35435, 13589, 1923, 491, 6565, 17494, 16143, 1917, 557, 52, 199, 39, 424, 4156, 404, 441, 18755, 4741, 35341, 716, 452, 383, 199, 0, 199, 1857, 759, 736, 1385, 14609, 437, 2308, 630, 358, 956, 417, 702, 401, 4486, 475, 6281, 296, 1123, 30711, 24305, 566, 199, 19960, 1139, 550, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 9295, 29915, 402, 712, 5219, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 452, 2707, 394, 4757, 3980, 19445, 296, 7419, 2200, 282, 825, 15140, 199, 10676, 13220, 31690, 2013, 1545, 354, 998, 1055, 546, 3342, 8732, 600, 15327, 2163, 19660, 842, 2037, 296, 1486, 10554, 199, 349, 20770, 387, 594, 48459, 1356, 26946, 808, 11634, 1517, 727, 1199, 416, 595, 14263, 535, 543, 547, 9586, 712, 10646, 199, 357, 2940, 417, 3006, 31970, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 6218, 424, 17916, 199, 1630, 441, 35861, 3273, 484, 675, 1196, 199, 0, 199, 1271, 392, 366, 2758, 324, 27091, 6504, 614, 12319, 1696, 546, 273, 12299, 2631, 315, 3179, 279, 822, 565, 279, 987, 199, 480, 268, 524, 2536, 281, 1814, 3459, 1221, 16096, 17013, 350, 1745, 9506, 507, 26988, 525, 9816, 41967, 3154, 33, 199, 668, 362, 547, 744, 16132, 637, 291, 5405, 314, 17305, 3744, 38332, 1176, 7621, 389, 1449, 294, 2203, 1939, 9643, 199, 47878, 2787, 292, 355, 716, 392, 1568, 8434, 847, 11345, 389, 3609, 490, 2012, 673, 17856, 11694, 259, 1049, 778, 460, 199, 28828, 487, 199, 0, 199, 574, 423, 596, 35, 15888, 3502, 5447, 630, 358, 956, 275, 702, 401, 4486, 445, 6281, 296, 1123, 30711, 24305, 566, 199, 19960, 1139, 550, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 4746, 410, 795, 41879, 5219, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 469, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 382, 368, 2013, 331, 1568, 998, 1055, 546, 3342, 333, 6789, 20118, 2163, 1752, 561, 271, 2037, 296, 1486, 10554, 199, 349, 20770, 33239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 380, 862, 13897, 3482, 382, 6607, 1138, 329, 1469, 30353, 294, 499, 388, 17243, 1178, 48, 1503, 20668, 199, 18417, 373, 764, 4437, 352, 1180, 1946, 656, 354, 757, 1173, 1859, 1754, 43328, 573, 294, 38145, 710, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5663, 9682, 1556, 8808, 750, 270, 199, 0, 199, 11805, 11403, 635, 554, 798, 2279, 427, 885, 474, 454, 11008, 407, 16662, 1110, 7194, 1348, 1076, 260, 1214, 319, 447, 199, 266, 1259, 1142, 351, 5911, 1974, 16037, 1590, 827, 24752, 509, 47874, 46644, 610, 315, 11231, 1806, 547, 353, 12931, 199, 8200, 1119, 1686, 380, 862, 13897, 3482, 382, 6607, 1138, 329, 1469, 30353, 18628, 388, 17243, 1178, 48, 1503, 20668, 199, 355, 8059, 764, 4437, 352, 1180, 47104, 339, 10180, 1173, 1859, 1754, 43328, 573, 286, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5663, 9682, 1556, 8808, 750, 270, 199, 0, 199, 1100, 1229, 519, 14985, 634, 596, 15060, 387, 423, 1396, 26930, 1421, 341, 422, 842, 50216, 7952, 1683, 9261, 698, 199, 13692, 1746, 1354, 15735, 340, 1974, 16037, 1590, 827, 825, 448, 45725, 876, 381, 610, 5064, 32763, 8765, 353, 468, 199, 15951, 360, 586, 1402, 380, 862, 12574, 3482, 526, 6607, 1070, 329, 4265, 21214, 294, 499, 388, 17243, 1178, 519, 34768, 199, 499, 3520, 330, 1167, 507, 19578, 345, 1361, 459, 257, 821, 15753, 376, 1754, 43328, 25426, 513, 33108, 284, 2379, 9471, 199, 428, 1445, 960, 868, 24007, 15917, 8554, 321, 528, 669, 743, 363, 199, 0, 199, 2702, 25040, 570, 313, 6745, 798, 15060, 507, 2011, 353, 944, 313, 1847, 22709, 7016, 508, 7952, 1683, 289, 8939, 199, 39, 34948, 1746, 1142, 377, 18862, 1974, 16037, 1590, 827, 24752, 359, 1283, 760, 354, 610, 5064, 23935, 6186, 353, 45, 199, 8171, 360, 729, 1402, 380, 862, 285, 1138, 661, 526, 6607, 1240, 21617, 1319, 10295, 450, 388, 17243, 1178, 41649, 199, 286, 1248, 21665, 862, 11879, 17528, 23461, 594, 257, 821, 665, 1834, 1754, 43328, 445, 39231, 33108, 284, 2379, 406, 199, 5901, 1401, 263, 1453, 2381, 606, 882, 15015, 727, 759, 6349, 363, 199, 0, 199, 2702, 5496, 758, 313, 6745, 798, 15060, 507, 1627, 353, 944, 313, 1847, 22709, 7016, 508, 7952, 1683, 9261, 1547, 199, 24195, 1746, 1142, 377, 330, 413, 1974, 16037, 1590, 827, 24752, 359, 1283, 760, 354, 610, 5064, 23935, 6186, 353, 445, 199, 9033, 360, 729, 1402, 380, 862, 285, 1138, 661, 526, 6607, 1240, 21617, 1319, 514, 18628, 388, 17243, 1178, 519, 34768, 199, 567, 330, 21665, 862, 11879, 17528, 23461, 594, 257, 740, 663, 1834, 1754, 43328, 445, 39231, 33108, 284, 2379, 18725, 199, 11168, 1401, 263, 1353, 2381, 606, 882, 15015, 727, 759, 10523, 363, 199, 0, 199, 2702, 25040, 570, 313, 6745, 798, 415, 908, 465, 18902, 944, 9896, 729, 341, 1155, 425, 1120, 314, 1683, 289, 8939, 199, 48698, 1032, 349, 1142, 377, 330, 413, 1974, 16037, 1590, 827, 24752, 359, 1283, 760, 354, 610, 5064, 23935, 8765, 353, 45, 199, 8171, 360, 729, 1402, 380, 862, 25990, 3482, 526, 6607, 1240 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10402, 55, 2484, 503, 25093, 1373, 1733, 322, 647, 280, 1181, 199, 21811, 2062, 3552, 729, 349, 1400, 313, 1232, 390, 28944, 263, 1514, 285, 529, 2539, 31959, 433, 704, 332, 1630, 1099, 316, 199, 3354, 1269, 1834, 2063, 1754, 284, 1956, 18505, 435, 811, 1529, 1726, 766, 501, 1121, 294, 1018, 328, 1453, 347, 2777, 199, 37255, 399, 3552, 199, 0, 199, 2693, 5151, 420, 2754, 4139, 799, 655, 11436, 835, 5675, 487, 751, 30564, 18645, 403, 660, 290, 50051, 972, 52, 199, 394, 6064, 425, 11060, 4010, 611, 3555, 334, 786, 32862, 11675, 378, 477, 2569, 521, 1147, 5747, 1119, 1564, 18873, 199, 2370, 408, 9693, 482, 10902, 587, 349, 1346, 299, 1074, 452, 3161, 17243, 1065, 48792, 377, 796, 269, 770, 883, 421, 199, 12228, 483, 32887, 8141, 19974, 2485, 366, 1053, 1315, 365, 3031, 572, 1341, 290, 2687, 1685, 17590, 1057, 1376, 11604, 199, 37, 5367, 351, 20372, 503, 5440, 944, 199, 0, 199, 2650, 9660, 1409, 534, 384, 6337, 1758, 7571, 298, 4494, 293, 655, 29150, 507, 10420, 287, 518, 24904, 3683, 320, 424, 199, 22800, 990, 12122, 876, 704, 8210, 2143, 624, 427, 1931, 328, 3007, 413, 42516, 2005, 5343, 477, 11965, 11698, 199, 2181, 1139, 3627, 357, 9937, 466, 12099, 22005, 2080, 8852, 884, 29995, 376, 609, 25605, 634, 509, 296, 42194, 199, 39689, 39777, 423, 11582, 402, 745, 1185, 1964, 4257, 276, 1148, 18554, 463, 1605, 466, 355, 1436, 360, 653, 41420, 3066, 199, 282, 2182, 457, 33490, 351, 698, 410, 2469, 283, 3352, 383, 493, 539, 3552, 868, 337, 1306, 4237, 30729, 43, 199, 0, 199, 445, 23873, 371, 20430, 24271, 2799, 2269, 39789, 6315, 1275, 555, 6427, 1185, 12144, 1954, 23185, 3246, 1312, 339, 199, 1415, 299, 879, 349, 3819, 750, 328, 3726, 329, 9176, 35, 945, 627, 1171, 400, 1601, 27680, 280, 31294, 2406, 322, 199, 992, 20456, 744, 2226, 293, 2029, 1064, 261, 906, 424, 1104, 379, 1562, 3498, 47758, 3274, 6848, 442, 343, 1955, 363, 199, 1305, 288, 20365, 803, 326, 1154, 2601, 1154, 920, 27815, 1599, 2354, 11043, 372, 7297, 929, 625, 14500, 316, 553, 199, 409, 12428, 1297, 9885, 12250, 638, 7573, 1501, 7510, 5599, 1245, 2343, 17586, 27972, 16498, 275, 906, 39713, 199, 38907, 289, 1246, 19379, 4765, 755, 7276, 1044, 10095, 798, 9584, 927, 796, 45960, 710, 468, 363, 1599, 545, 199, 21200, 25955, 787, 42757, 3068, 1503, 2321, 382, 14976, 13635, 1206, 284, 1001, 637, 570, 343, 589, 11519, 630, 199, 37, 20437, 1544, 372, 781, 257, 1005, 363, 787, 388, 651, 2332, 2526, 2221, 38, 199, 0, 199, 382, 733, 930, 807, 623, 342, 3361, 1128, 5011, 17614, 26942, 8845, 12787, 1498, 594, 294, 1183, 430, 9727, 199, 44, 12308, 29863, 828, 321, 11864, 334, 5747, 18615, 3022, 405, 504, 1299, 595, 23761, 38319, 1061, 298, 13038, 199, 28193, 332, 885, 770, 458, 595, 260, 5007, 720, 4098, 55, 844, 287, 20081, 546, 445, 442, 446, 10389, 442, 808, 47479, 199, 485, 329, 744, 261, 584, 312, 16997, 1325, 9993, 16051, 26048, 271, 951, 9960, 3390, 46, 2521, 8767, 42403, 199, 782, 1421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 624, 270, 199, 0, 199, 1147, 1549, 371, 408, 525, 1304, 384, 14985, 1601, 1966, 1377, 740, 328, 868, 369, 1903, 1070, 380, 667, 2665, 11517, 199, 528, 1237, 34172, 1637, 1528, 7144, 486, 1108, 398, 1369, 287, 3027, 342, 451, 22702, 567, 2767, 321, 2241, 35992, 1147, 199, 461, 852, 430, 49, 1970, 13060, 476, 685, 416, 747, 696, 24525, 2021, 299, 13632, 17658, 2485, 15956, 8254, 7151, 199, 36, 6680, 258, 795, 263, 764, 504, 990, 358, 8631, 425, 447, 32676, 24208, 683, 13860, 930, 636, 6235, 25984, 35, 199, 39, 823, 1557, 47469, 485, 6385, 17234, 984, 20210, 1510, 7184, 2579, 961, 6613, 408, 939, 4477, 199, 0, 199, 382, 2846, 632, 5917, 2031, 453, 370, 1109, 408, 2294, 437, 11698, 803, 10316, 717, 312, 8224, 722, 322, 1552, 8666, 199, 351, 42117, 258, 1280, 547, 1770, 662, 282, 1262, 955, 940, 419, 42259, 11811, 551, 15376, 4678, 415, 7330, 1190, 199, 16081, 463, 258, 948, 294, 851, 773, 16306, 1537, 17691, 522, 461, 2052, 480, 8117, 330, 1840, 477, 730, 4313, 378, 199, 2406, 419, 18036, 12493, 55, 6173, 41021, 3326, 404, 33865, 455, 1717, 4775, 373, 893, 500, 2410, 5078, 43418, 199, 446, 260, 5111, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 9228, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 983, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 48911, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 26755, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1081, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 808, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 514, 35290, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 5569, 337, 807, 707, 1566, 29143, 442, 282, 697, 3056, 330, 512, 15486, 27644, 4379, 587, 603, 338, 1072, 2778, 199, 39699, 786, 394, 360, 28073, 2275, 2068, 8778, 358, 33043, 570, 16841, 8119, 5975, 2469, 754, 455, 873, 554, 199, 1436, 687, 258, 1196, 26610, 1932, 953, 16493, 46872, 1208, 5017, 1155, 346, 390, 17658, 340, 1530, 497 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26101, 199, 634, 743, 425, 913, 2868, 2556, 346, 1042, 341, 1145, 508, 474, 3954, 717, 30174, 401, 34400, 2414, 15716, 830, 33, 199, 11493, 18499, 562, 407, 8779, 375, 1753, 425, 392, 22862, 360, 11653, 2163, 393, 1966, 1126, 3384, 296, 3010, 577, 37947, 199, 483, 25838, 347, 2532, 5864, 607, 19578, 7636, 4241, 458, 290, 508, 10115, 2283, 543, 5162, 441, 441, 642, 915, 2094, 199, 39, 15144, 45, 2569, 1505, 8851, 10419, 7640, 527, 18106, 776, 327, 1287, 355, 1025, 893, 6010, 424, 6032, 12250, 199, 44185, 1560, 1802, 3465, 283, 199, 0, 199, 2021, 396, 3104, 2678, 48591, 1072, 771, 325, 788, 4623, 321, 2464, 388, 374, 1366, 2397, 290, 606, 518, 24904, 618, 35, 199, 320, 7638, 472, 6126, 284, 2222, 542, 279, 475, 10985, 556, 477, 1421, 328, 1149, 10140, 400, 602, 718, 1145, 1317, 15414, 199, 7509, 380, 1261, 9828, 3668, 264, 2097, 1676, 48, 4381, 319, 10472, 410, 431, 8803, 423, 1254, 553, 624, 1455, 3452, 199, 11579, 823, 546, 10334, 501, 36311, 369, 4519, 48861, 1249, 2299, 338, 4897, 498, 426, 2761, 12795, 46188, 1265, 526, 199, 291, 41058, 612, 684, 1569, 13027, 558, 380, 1126, 8952, 386, 11868, 531, 1554, 341, 376, 6152, 48500, 956, 530, 733, 199, 285, 199, 0, 199, 569, 548, 285, 1453, 566, 29402, 442, 1232, 262, 1080, 3448, 408, 4050, 873, 15497, 859, 3584, 22367, 912, 412, 199, 350, 2092, 358, 944, 4869, 369, 8153, 950, 12487, 40707, 7189, 325, 1385, 12375, 331, 1224, 369, 2128, 2379, 276, 199, 16217, 2951, 322, 4617, 521, 9328, 735, 437, 31660, 598, 974, 31888, 7152, 1970, 10614, 293, 3133, 889, 483, 7878, 199, 368, 3472, 7049, 4950, 765, 1230, 1394, 47364, 815, 799, 6354, 1108, 374, 508, 557, 10674, 2904, 273, 562, 377, 199, 2671, 25479, 1110, 531, 356, 328, 28385, 364, 1188, 352, 1103, 18049, 693, 5449, 8709, 2268, 291, 539, 399, 1069, 272, 199, 278, 1627, 5026, 2793, 749, 1149, 345, 12000, 8943, 7249, 1918, 1357, 30514, 23147, 5021, 362, 1013, 12603, 199, 7056, 793, 31020, 411, 999, 380, 28239, 625, 14195, 316, 603, 20310, 1042, 338, 5812, 1884, 407, 1306, 340, 2183, 199, 3981, 4079, 57, 776, 363, 1245, 4791, 19121, 476, 6874, 685, 347, 1219, 297, 381, 18375, 341, 1698, 334, 16790, 361, 539, 199, 1099, 49, 2861, 423, 844, 625, 690, 385, 6716, 562, 293, 2276, 2598, 337, 2284, 199, 0, 199, 419, 606, 564, 39761, 2506, 285, 49763, 634, 4406, 1830, 597, 370, 2424, 5784, 8606, 1269, 325, 2413, 428, 1040, 199, 590, 9519, 29579, 1718, 292, 1725, 1039, 410, 678, 669, 413, 1598, 30688, 717, 258, 7823, 2870, 1387, 35138, 55, 199, 421, 1439, 8179, 471, 312, 3537, 33862, 32222, 1885, 407, 527, 595, 9469, 15197, 517, 329, 1070, 404, 9034, 1242, 199, 1348, 43161, 1751, 967, 1196, 281, 901, 493, 1264, 970, 335, 531, 35671, 401, 649, 312, 716, 11303, 292, 1669, 461, 313, 199, 794, 295, 1216, 1084, 6774, 2368, 512, 3419, 4338, 1289, 43973, 1457, 281, 1929, 19228, 1476, 622, 1442, 296, 199, 12373, 2212, 20240, 4163, 456, 360, 4053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 39689, 39777, 423, 11582, 402, 745, 1185, 1964, 4257, 276, 1148, 18554, 463, 1605, 466, 355, 1436, 360, 653, 41420, 3066, 199, 282, 2182, 457, 33490, 351, 698, 410, 2469, 283, 3352, 383, 493, 539, 3552, 868, 337, 1306, 4237, 30729, 43, 199, 0, 199, 574, 423, 596, 35, 15888, 3502, 5447, 630, 358, 956, 275, 702, 401, 4486, 445, 6281, 296, 1123, 30711, 24305, 566, 199, 19960, 1139, 550, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 4746, 410, 795, 41879, 5219, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 469, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 382, 368, 2013, 331, 1568, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 1752, 561, 271, 2037, 296, 1486, 10554, 199, 349, 20770, 33239, 48459, 1185, 475, 18868, 1424, 263, 1517, 727, 1199, 416, 595, 14263, 535, 543, 547, 9586, 712, 16563, 199, 357, 3339, 417, 3006, 31970, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 28288, 424, 17916, 199, 1630, 441, 35861, 3273, 35341, 735, 49, 199, 0, 199, 2173, 992, 10495, 261, 1427, 489, 3278, 2413, 519, 502, 580, 5905, 1104, 1297, 271, 1129, 1201, 576, 3206, 2935, 199, 367, 612, 343, 563, 43542, 634, 291, 1114, 901, 1766, 20337, 8098, 4691, 716, 388, 420, 299, 5443, 486, 55, 2012, 199, 481, 3194, 26187, 981, 24493, 6601, 323, 4746, 421, 1494, 35367, 608, 2808, 543, 1618, 318, 8675, 747, 442, 199, 1502, 338, 1299, 1480, 2035, 19655, 4042, 395, 55, 4732, 397, 24020, 700, 339, 666, 342, 1119, 399, 1201, 283, 6128, 547, 712, 199, 467, 7110, 279, 622, 45741, 843, 1174, 265, 1316, 31454, 299, 4585, 1222, 1992, 454, 1121, 332, 6475, 2209, 372, 199, 1235, 1123, 1182, 11918, 743, 472, 4634, 6931, 44998, 852, 504, 4116, 42912, 6180, 312, 8832, 2878, 370, 1258, 199, 1001, 2770, 11089, 22175, 332, 735, 1573, 487, 4102, 2558, 19278, 502, 1416, 1989, 473, 18399, 290, 1263, 8690, 199, 710, 345, 1345, 7855, 40530, 3240, 3487, 1891, 648, 269, 933, 12184, 347, 3064, 3960, 1440, 275, 619, 545, 50, 199, 0, 199, 28290, 11687, 499, 25506, 269, 1249, 1091, 371, 1497, 380, 3345, 24723, 25416, 7262, 362, 1799, 14511, 7133, 314, 45, 199, 339, 21895, 1358, 4471, 1051, 15469, 433, 9091, 1282, 19628, 2060, 313, 5821, 1199, 262, 1891, 2558, 625, 7080, 333, 199, 362, 748, 507, 1915, 1127, 269, 1621, 470, 2891, 5010, 529, 8449, 1376, 911, 2975, 2964, 9866, 703, 12913, 3695, 4963, 199, 29549, 1681, 5544, 335, 1916, 20437, 1834, 1531, 13923, 472, 31021, 294, 1401, 286, 2434, 312, 828, 1050, 314, 1250, 383, 199, 1508, 365, 677, 351, 470, 9573, 962, 46, 199, 0, 199, 20908, 647, 1094, 2651, 1384, 317, 1318, 415, 574, 1308, 439, 12883, 531, 1970, 297, 518, 921, 1547, 1097, 15775, 285, 55, 199, 12157, 734, 38141, 535, 28578, 9331, 1626, 7285, 870, 496, 5582, 364, 445, 9559, 1269, 5237, 1664, 40115, 465, 393, 199, 16432, 12957, 1034, 3617, 46624, 269, 849, 1866, 796, 359, 14648, 388, 22701, 260, 1177, 448 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2485, 15956, 8254, 7151, 199, 36, 6680, 258, 795, 5704, 4746, 990, 358, 8631, 425, 447, 32676, 24208, 683, 13860, 930, 636, 6235, 25984, 35, 199, 39, 823, 1557, 47469, 485, 6385, 17234, 984, 20210, 2001, 7184, 2579, 961, 6613, 408, 939, 4477, 199, 0, 199, 1147, 1549, 47142, 525, 1000, 288, 7004, 1601, 1966, 1377, 740, 328, 868, 369, 1903, 1138, 380, 667, 2665, 11517, 199, 528, 1237, 34172, 1637, 1528, 7144, 486, 1108, 398, 1369, 287, 3027, 342, 451, 22702, 567, 2288, 321, 2241, 35992, 1147, 199, 461, 852, 430, 49, 1970, 13060, 476, 685, 416, 747, 696, 24525, 2021, 1111, 353, 1454, 467, 2485, 15956, 8254, 7151, 199, 36, 6680, 258, 795, 263, 764, 504, 990, 364, 8631, 425, 447, 32676, 24208, 683, 13860, 930, 636, 6235, 25984, 35, 199, 39, 823, 1557, 47469, 485, 6385, 17234, 984, 20210, 1510, 7184, 2579, 961, 6613, 408, 939, 4477, 199, 0, 199, 1147, 1549, 47928, 270, 1000, 384, 6594, 1601, 1966, 1377, 740, 328, 669, 369, 1903, 1138, 380, 667, 2665, 11517, 199, 484, 1237, 34172, 1637, 1528, 7144, 486, 1108, 398, 1369, 287, 3027, 45140, 22702, 567, 2767, 321, 2241, 35992, 1147, 199, 461, 852, 430, 49, 1970, 13060, 476, 685, 416, 747, 696, 24525, 2021, 299, 15351, 17658, 2485, 15956, 8254, 7151, 199, 36, 6680, 3753, 12127, 287, 504, 990, 358, 8631, 425, 447, 32676, 497, 9147, 1427, 282, 930, 636, 6235, 25984, 35, 199, 39, 823, 1557, 47469, 485, 6385, 17234, 984, 20210, 352, 1405, 285, 2826, 961, 6613, 408, 939, 4477, 199, 0, 199, 382, 850, 1420, 48238, 3533, 288, 382, 837, 9356, 1237, 324, 740, 328, 868, 276, 1903, 1138, 380, 667, 2665, 337, 2301, 199, 484, 1237, 34172, 1637, 1528, 288, 32471, 1108, 398, 956, 1563, 21069, 451, 377, 10540, 2127, 15963, 1606, 348, 1558, 199, 428, 852, 430, 2447, 452, 17272, 21657, 416, 747, 2277, 24525, 2021, 299, 878, 41507, 416, 4044, 497, 8254, 7151, 199, 6947, 928, 13252, 263, 914, 504, 990, 46, 1017, 34000, 447, 32676, 24208, 683, 13512, 15185, 2461, 461, 1053, 568, 199, 39, 823, 1557, 47469, 485, 4664, 17234, 984, 20210, 2001, 12283, 40, 600, 465, 6613, 11558, 764, 46, 199, 0, 199, 1147, 1549, 47142, 525, 1304, 384, 14985, 1601, 1966, 1377, 740, 328, 868, 369, 1903, 1070, 380, 667, 2665, 11517, 199, 528, 1237, 34172, 1637, 1528, 7144, 486, 1108, 398, 1369, 287, 3027, 342, 451, 22702, 567, 2767, 321, 2241, 35992, 1147, 199, 461, 852, 430, 49, 1970, 13060, 476, 685, 416, 747, 696, 24525, 2021, 299, 13632, 17658, 2485, 15956, 8254, 7151, 199, 36, 6680, 258, 795, 263, 764, 504, 990, 358, 8631, 425, 447, 32676, 24208, 683, 13860, 930, 636, 6235, 25984, 35, 199, 39, 823, 1557, 47469, 485, 6385, 17234, 984, 20210, 1510, 7184, 2579, 961, 6613, 408, 939, 4477, 199, 0, 199, 1147, 1549, 47142, 525, 1000, 384, 7004, 1601, 1966, 1377, 740, 328, 868, 369, 1903, 1138, 380, 667, 2665, 11517, 199, 528, 1237, 34172, 1637, 1528, 7144, 486, 1108, 398, 1369, 287, 3027, 342, 451, 22702, 567, 2767, 321, 2241 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1520, 16893, 2674, 665, 34162, 458, 669, 3537, 1228, 271, 1287, 18694, 446, 13087, 400, 199, 21369, 7256, 930, 4084, 1321, 2383, 1410, 479, 11086, 11541, 517, 275, 712, 327, 20992, 341, 566, 14320, 1539, 1902, 199, 2764, 654, 10491, 331, 1222, 2151, 31602, 702, 199, 0, 199, 385, 42152, 42152, 50068, 583, 677, 7743, 2694, 390, 1256, 41242, 620, 30190, 1699, 4230, 297, 1897, 763, 721, 365, 199, 2459, 16269, 2171, 2634, 360, 22344, 1827, 2992, 297, 462, 415, 4573, 22344, 401, 499, 373, 1492, 500, 6122, 437, 14797, 199, 39, 2296, 542, 19802, 30477, 456, 2320, 344, 500, 2652, 1807, 273, 503, 1132, 677, 319, 1051, 414, 3446, 457, 8257, 620, 35, 199, 23003, 3259, 410, 15462, 969, 328, 674, 3209, 492, 548, 504, 931, 1806, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 25222, 1792, 2713, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 2073, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 382, 7192, 1249, 321, 1301, 10070, 261, 1306, 369, 842, 640, 6270, 7433, 3471, 618, 3456, 1462, 1307, 290, 702, 199, 37, 4037, 9821, 657, 5310, 313, 9897, 390, 1137, 362, 501, 2726, 15776, 1523, 25482, 421, 2121, 1729, 6157, 417, 35, 199, 7761, 3963, 362, 1138, 258, 15690, 1792, 266, 13361, 2748, 28952, 32124, 3412, 11225, 408, 816, 296, 18953, 700, 199, 464, 9680, 4894, 351, 1448, 1344, 10714, 2572, 843, 35891, 700, 7869, 369, 935, 8407, 267, 582, 615, 355, 724, 199, 6118, 401, 521, 316, 3837, 259, 1065, 5440, 199, 0, 199, 615, 19496, 674, 16863, 4309, 1637, 23608, 474, 37523, 11263, 1461, 266, 5945, 365, 1348, 1076, 4640, 1177, 447, 199, 266, 1480, 1142, 351, 13503, 1974, 16037, 1590, 827, 24752, 509, 1208, 1307, 354, 610, 315, 11231, 1806, 547, 353, 12931, 199, 8200, 1119, 1686, 380, 862, 13897, 3482, 382, 6607, 1138, 329, 1469, 30353, 294, 499, 388, 17243, 1065, 32190, 21535, 199, 355, 7977, 764, 4437, 352, 1180, 1946, 656, 354, 757, 43, 1096, 376, 1754, 43328, 573, 286, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5919, 9682, 1556, 8808, 750, 260, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 4899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4271, 373, 1187, 4437, 444, 26157, 316, 606, 442, 1050, 324, 2633, 329, 1053, 55, 2095, 40244, 33108, 284, 2379, 406, 5507, 199, 8411, 2183, 385, 34609, 27734, 8554, 257, 14694, 956, 1720, 199, 0, 199, 445, 402, 439, 660, 274, 503, 5066, 604, 362, 1761, 28571, 318, 2772, 348, 7464, 289, 5369, 1120, 352, 969, 4640, 2366, 276, 199, 1078, 349, 827, 479, 24426, 1974, 16037, 1590, 827, 825, 448, 1924, 36, 1007, 381, 610, 14595, 334, 439, 2569, 353, 12931, 199, 28455, 729, 1402, 380, 862, 13897, 3482, 526, 6607, 1138, 329, 1346, 299, 33884, 499, 388, 17243, 1208, 41649, 7866, 199, 4271, 373, 1187, 4437, 444, 26157, 316, 606, 442, 1050, 324, 2633, 329, 1053, 55, 2095, 328, 26823, 41391, 2379, 406, 5507, 199, 8411, 1121, 385, 34609, 27734, 8554, 257, 14694, 956, 1720, 199, 0, 199, 2364, 459, 801, 588, 8495, 263, 4428, 3587, 12489, 378, 1936, 358, 12935, 11326, 427, 1348, 24388, 1428, 1818, 1887, 199, 25260, 1142, 479, 15788, 2226, 16037, 1590, 827, 825, 1848, 1283, 1898, 354, 778, 1031, 351, 977, 2569, 353, 1416, 275, 199, 360, 1424, 1402, 380, 862, 13897, 3678, 482, 4661, 1070, 329, 1346, 299, 33884, 499, 388, 17243, 1065, 298, 26755, 2301, 199, 1893, 360, 956, 7803, 404, 1325, 41517, 339, 1730, 755, 12489, 1754, 43328, 23407, 38145, 805, 284, 2379, 406, 33877, 199, 1312, 1121, 445, 43231, 2310, 275, 7650, 695, 816, 2752, 411, 7215, 199, 0, 199, 7996, 1615, 334, 408, 3263, 424, 4893, 3377, 1436, 360, 1260, 330, 646, 717, 584, 17806, 752, 1134, 13779, 636, 199, 371, 1444, 705, 5183, 294, 1958, 15304, 412, 622, 3356, 21218, 749, 25486, 1539, 410, 389, 535, 4705, 733, 580, 33, 199, 258, 1156, 324, 2092, 369, 3048, 4314, 15396, 4214, 361, 1709, 383, 994, 312, 7497, 696, 13972, 12409, 373, 16023, 199, 2528, 21914, 1562, 436, 652, 599, 280, 1365, 7637, 290, 733, 346, 3859, 2459, 871, 2371, 517, 3387, 558, 10987, 199, 389, 11673, 866, 4252, 404, 623, 7516, 37527, 3202, 280, 1745, 12437, 866, 13606, 46363, 4155, 279, 10352, 264, 199, 1595, 3887, 258, 2371, 461, 474, 1036, 11923, 807, 21786, 490, 739, 5301, 12858, 3202, 1280, 4046, 597, 292, 490, 199, 20976, 440, 683, 551, 24218, 6351, 370, 8610, 1965, 867, 282, 1114, 833, 4370, 975, 199, 0, 199, 2125, 423, 1969, 442, 270, 4656, 913, 12409, 321, 424, 2153, 388, 25621, 1096, 667, 282, 11247, 8278, 792, 2924, 199, 767, 4316, 865, 292, 1260, 31857, 570, 18925, 6838, 2323, 1246, 4794, 46, 2742, 486, 2254, 24036, 1085, 199, 468, 8638, 19943, 487, 888, 2359, 602, 330, 16158, 8127, 743, 28014, 6541, 45818, 33311, 338, 554, 2576, 7099, 199, 588, 33683, 820, 3225, 379, 273, 1485, 334, 5052, 37827, 864, 7555, 485, 2166, 260, 884, 278, 661, 752, 261, 726, 199, 48, 1794, 11990, 402, 1755, 1685, 471, 572, 2290, 942, 29525, 498, 504, 1666, 14886, 8750, 24978, 879, 12385, 54, 199, 360, 1090, 592, 2581, 6056, 2210, 2781, 32824, 519, 20674, 493, 397, 1953, 325, 1879, 4283, 614, 1515, 7777, 487, 199, 279, 3425 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 5016, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 446, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 41959, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 367, 33307, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 5682, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 633, 3107, 276, 199, 0, 199, 2506, 5001, 7160, 1163, 2055, 1647, 26620, 1647, 353, 14247, 5510, 433, 2080, 548, 402, 555, 8609, 597, 363, 2187, 199, 31347, 425, 1172, 371, 1775, 9420, 367, 33307, 7906, 6540, 439, 5106, 13236, 1642, 1065, 1498, 1056, 402, 21029, 199, 352, 24845, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 44, 1183, 424, 611, 2057, 4437, 13944, 30371, 1362, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 4464, 1704, 7543, 37349, 7625, 342, 554, 535, 504, 2380, 8854, 199, 21158, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7210, 2225, 1105, 1294, 18860, 442, 7944, 2163, 285, 497, 1840, 3290, 383, 18399, 6600, 715, 458, 496, 346, 436, 199, 12374, 2828, 487, 752, 1520, 16893, 2674, 665, 34162, 458, 669, 3537, 1228, 271, 1287, 18694, 446, 13087, 400, 199, 21369, 7256, 930, 4084, 1321, 2383, 1410, 479, 11086, 11541, 517, 275, 712, 327, 20992, 341, 566, 14320, 1539, 1902, 199, 2764, 654, 10491, 331, 1222, 2151, 31602, 702, 199, 0, 199, 1282, 261, 1950, 267, 715, 283, 664, 1025, 2189, 498, 2427, 2046, 573, 277, 7340, 38415, 388, 384, 8650, 1365, 8401, 199, 18084, 3172, 57, 977, 844, 281, 1252, 978, 705, 487, 622, 2416, 1900, 379, 282, 566, 15393, 315, 1684, 262, 1820, 9121, 199, 822, 1830, 312, 406, 1975, 2251, 1174, 199, 0, 199, 1558, 279, 1004, 2565, 35, 1104, 42295, 339, 472, 333, 18811, 618, 5079, 913, 4270, 38229, 17229, 584, 550, 199, 10599, 590, 3702, 265, 498, 1229, 5447, 373, 597, 273, 1010, 24515, 1961, 871, 30765, 9721, 3760, 331, 1494, 54, 199, 3120, 1517, 694, 2544, 6445, 752, 639, 333, 688, 498, 52, 1506, 595, 291, 666, 2565, 3658, 833, 11054, 842, 7525, 199, 565, 291, 2729, 1646, 279, 11953, 430, 1438, 3726, 360, 498, 5535, 18115, 282, 13518, 4367, 41749, 2254, 19448, 199, 313, 603, 5595, 14638, 3777, 639, 5144, 1895, 314, 2915, 1540, 442, 290, 712, 259, 707, 14364, 2357, 9790, 199, 1144, 8662, 4109, 7590, 745, 368, 42376, 554, 16034, 24231, 1273, 1888, 42078, 11562, 43029, 743, 48, 199, 44, 25901, 48431, 420, 1025, 507, 401, 10062, 923, 5562, 50, 199, 0, 199, 21239, 668, 11355, 602, 511, 19010, 592, 3289, 368, 31988, 1153, 364, 373, 2098, 368, 2657, 283, 719, 449, 18802, 445, 199, 39, 422, 2864, 36467, 391, 20864, 5405, 4134, 317, 42594, 1342, 4261, 466, 19185, 4592, 408, 4288, 286, 420, 985, 199, 21809, 672, 462, 4766, 634, 15814, 745, 2394, 905, 9060, 10043, 668, 7541, 1678, 884, 2755, 16554, 408, 473, 199, 393, 1236, 13444, 392, 458, 4616, 9428, 298, 12191, 7339, 290, 1386, 20604, 199, 0, 199, 6463, 1128, 4049, 411, 437, 321, 3745, 704, 268, 1080, 272, 680, 31899, 327, 1033, 873, 473, 34247, 1327, 633, 7669, 199, 36, 681, 32090, 439, 1221, 340, 5567, 710, 5964, 2633, 323, 4924, 532, 14712, 785, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 277, 1890, 285, 372, 1148, 295, 3959, 316, 19708, 354, 1883, 48747, 398, 9775, 32554, 22944, 855, 628, 1656, 199, 16717, 10555, 7149, 435, 4295, 5850, 382, 1330, 8483, 4717, 2081, 1323, 2707, 351, 590, 31716, 801, 1132, 276, 199, 762, 7945, 199, 0, 199, 6463, 1128, 4049, 45592, 321, 487, 430, 1362, 1080, 272, 680, 380, 33783, 1033, 873, 473, 739, 34430, 633, 7669, 199, 36, 681, 32090, 439, 1221, 340, 5567, 710, 5964, 2633, 323, 4924, 532, 14712, 785, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 315, 1890, 12089, 1005, 295, 3959, 316, 19708, 354, 1883, 48747, 398, 1222, 1923, 298, 4273, 855, 628, 1656, 199, 36, 543, 10555, 7149, 435, 4295, 5850, 40994, 316, 536, 4717, 2081, 1111, 2707, 351, 590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 360, 5957, 857, 10413, 3643, 11162, 580, 301, 32676, 1612, 264, 22411, 472, 1046, 2461, 461, 357, 8258, 199, 349, 35696, 843, 612, 298, 602, 584, 3832, 3116, 406, 2708, 285, 500, 7765, 789, 376, 881, 261, 199, 0, 199, 615, 7002, 424, 841, 270, 798, 415, 5287, 48484, 37523, 11263, 1461, 266, 5945, 365, 1348, 1076, 4640, 1177, 447, 199, 266, 1480, 1142, 13861, 407, 2226, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1806, 547, 353, 12931, 199, 8200, 1119, 1686, 380, 862, 13897, 3482, 382, 6607, 1138, 329, 1827, 30353, 18628, 388, 17243, 1178, 48, 1503, 21535, 199, 355, 14476, 764, 4437, 398, 1180, 1946, 656, 354, 757, 43, 1096, 376, 1754, 43328, 573, 286, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5919, 9682, 1556, 8808, 750, 270, 199, 0, 199, 2364, 440, 3218, 322, 3143, 648, 619, 373, 23630, 604, 3221, 2887, 632, 362, 1350, 26555, 1012, 16037, 376, 820, 199, 44, 30286, 9721, 1685, 2881, 730, 16680, 559, 435, 950, 435, 2865, 1892, 377, 388, 1877, 274, 5037, 341, 1351, 936, 5094, 199, 1679, 1754, 769, 349, 1469, 682, 6051, 2187, 10492, 435, 906, 263, 1514, 951, 800, 14680, 30363, 1047, 295, 15860, 199, 594, 340, 4931, 483, 4087, 581, 22228, 1053, 295, 441, 3340, 581, 20204, 652, 277, 34958, 55, 6249, 383, 9790, 522, 52, 199, 1837, 1930, 2466, 7208, 1262, 592, 910, 27404, 683, 199, 0, 199, 1416, 24160, 444, 24634, 394, 12464, 10298, 390, 427, 3775, 277, 517, 5200, 1290, 6687, 24649, 515, 323, 626, 332, 1889, 199, 44, 9840, 1662, 2079, 656, 281, 2023, 295, 28611, 9213, 575, 770, 281, 1677, 282, 4082, 1955, 2702, 710, 437, 32897, 2266, 199, 26875, 22344, 434, 4785, 2320, 4078, 613, 375, 413, 545, 8400, 708, 677, 950, 332, 1584, 36642, 2884, 829, 268, 12044, 199, 1235, 268, 20264, 661, 348, 780, 452, 535, 2707, 385, 11169, 3255, 199, 0, 199, 615, 19496, 424, 841, 270, 798, 15060, 23608, 433, 37523, 11263, 1461, 266, 5945, 365, 1348, 1076, 4640, 1177, 447, 199, 266, 1480, 1142, 13861, 1784, 6064, 390, 1590, 827, 24752, 509, 1283, 963, 354, 610, 324, 11231, 1806, 547, 353, 20421, 199, 8200, 1119, 1686, 380, 862, 13897, 3482, 382, 6607, 1138, 329, 1827, 30353, 18628, 388, 17243, 1178, 48, 1503, 21535, 199, 355, 14476, 764, 4437, 352, 1180, 1946, 656, 354, 757, 43, 1096, 376, 1754, 43328, 573, 286, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5919, 9682, 1556, 8808, 750, 270, 199, 0, 199, 1244, 263, 852, 313, 1173, 38159, 26609, 552, 4862, 709, 477, 26892, 529, 1632, 290, 1712, 1459, 375, 13968, 2313, 33, 199, 274, 11330, 10794, 317, 983, 17429, 740, 1121, 336, 9010, 44582, 3081, 428, 399, 759, 300, 1209, 2025, 313, 1265, 41, 199, 37, 18596, 380, 1448, 5663, 2356, 1051, 398, 1245, 1575, 372, 3811, 643, 323, 199, 0, 199, 1552, 388, 1594, 870, 5858, 354, 1833, 5015, 1754, 772, 1747, 517, 582, 361, 1260, 4913, 1766, 809, 1258, 15348, 199, 1309, 41015, 1136, 898, 4335, 550 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 446, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 9562, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 741, 260, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 10220, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 5682, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 338, 620, 386, 2518, 5682, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 9562, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 5016, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 9562, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 3107, 276, 199, 0, 199, 4566, 5001, 35, 2448, 279, 465, 7672, 41959, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7556, 317, 899, 1110, 287, 1669, 392, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 48911, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 41932, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 498, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 12779, 1110, 287, 1669, 373, 1076, 4640, 341, 531, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 21004, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 17783, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 1857, 978, 1977, 49010, 265, 686, 537, 12165, 327, 655, 15706, 2486, 15762, 260, 670, 49483, 2641, 1354, 10459, 199, 14717, 1381, 390, 1442, 1217, 24752, 4797, 1510, 48331, 610, 6823, 1889, 383, 4837, 268, 4612, 278, 1492, 1402, 354, 199, 18304, 692, 791, 326, 3276, 5217, 332, 1308, 433, 3676, 25508, 21006, 283, 1318, 271, 43456, 860, 4352, 33476, 33, 199, 16789, 1369, 424, 3288, 881, 8214, 46911, 35758, 1005, 11116, 464, 296, 2436, 2984, 2379, 11833, 380, 26561, 3261, 199, 23196, 953, 279, 1420, 343, 1978, 1145, 379, 3439, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 346, 899, 1110, 287, 1669, 373, 1076, 4640, 2553, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 514, 35290, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1455, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 6730, 444, 4616, 1669, 373, 1076 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 2242, 3147, 322, 19128, 8913, 2181, 473, 639, 485, 199, 14122, 5161, 495, 415, 2043, 51, 17870, 2815, 690, 447, 199, 0, 199, 1416, 2966, 444, 24634, 394, 12464, 10298, 390, 427, 3775, 277, 517, 5200, 1290, 6687, 24649, 515, 323, 626, 332, 1035, 199, 44, 9840, 1662, 2079, 656, 281, 2023, 295, 28611, 9213, 575, 770, 417, 1677, 282, 4082, 1955, 377, 590, 2894, 32897, 2266, 199, 26875, 22344, 434, 4785, 2320, 4078, 613, 375, 413, 545, 8400, 708, 677, 22727, 24687, 36642, 2884, 829, 268, 12044, 199, 1235, 268, 18184, 661, 348, 780, 335, 535, 503, 685, 11169, 3255, 199, 0, 199, 10631, 578, 44944, 624, 321, 1877, 1107, 367, 1825, 651, 269, 1552, 1738, 707, 368, 388, 1900, 29746, 1341, 11546, 1819, 199, 4087, 1180, 1589, 318, 3730, 405, 301, 540, 18817, 12648, 299, 2092, 542, 2935, 25779, 1341, 600, 19857, 907, 25925, 199, 4156, 7456, 561, 543, 997, 326, 2620, 257, 1956, 12350, 376, 2366, 3703, 287, 1035, 608, 368, 880, 344, 1587, 946, 199, 7064, 1258, 726, 362, 16608, 1204, 401, 1785, 33, 199, 0, 199, 5569, 337, 807, 707, 1566, 29143, 442, 282, 697, 3056, 330, 512, 15486, 27644, 4379, 587, 603, 338, 1072, 2778, 199, 39699, 786, 394, 360, 28073, 2275, 789, 8778, 358, 33043, 570, 16841, 8119, 5975, 2469, 754, 455, 873, 554, 199, 1436, 687, 258, 1196, 26610, 1932, 953, 16493, 46872, 1208, 5017, 1155, 346, 390, 17658, 340, 1530, 497, 8254, 410, 199, 30190, 891, 11784, 645, 287, 609, 827, 461, 2130, 580, 397, 32676, 24208, 46009, 472, 3631, 2461, 461, 25984, 199, 44524, 35696, 843, 612, 22732, 584, 3832, 508, 19959, 514, 858, 292, 904, 789, 10384, 8956, 199, 0, 199, 419, 331, 15804, 431, 766, 3217, 456, 6264, 706, 510, 55, 939, 522, 565, 301, 409, 2826, 832, 390, 954, 755, 598, 278, 199, 286, 15236, 22543, 794, 349, 6415, 21357, 589, 3677, 435, 55, 786, 355, 11290, 325, 1391, 2492, 3075, 3535, 20400, 199, 608, 367, 547, 278, 612, 466, 32031, 786, 1796, 294, 712, 423, 2128, 542, 42272, 11196, 275, 991, 260, 733, 1751, 416, 258, 199, 0, 199, 574, 13267, 736, 1385, 927, 16730, 7380, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 30711, 18132, 518, 199, 45205, 1139, 1185, 2922, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 4326, 313, 6076, 291, 22269, 2868, 1984, 346, 1045, 47960, 4164, 433, 3980, 778, 607, 2967, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 1610, 1980, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 14321, 301, 594, 280, 3853, 342, 34421, 14162, 764, 49360, 259, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 26242, 3273, 595, 685, 4161, 199, 0, 199, 2260, 2076, 45827, 271, 527, 1218, 472, 373, 728, 1012, 294, 10886, 772, 28124, 792, 293, 3271, 296, 1123, 486 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 420, 38444, 4018, 29164, 27117, 620, 1220, 560, 33275, 625, 275, 1289, 199, 802, 1469, 299, 683, 14102, 1530, 259, 1557, 349, 1592, 10214, 8589, 273, 1465, 5125, 664, 20855, 381, 1569, 259, 1706, 199, 777, 282, 1181, 23093, 1083, 368, 842, 341, 9329, 718, 2987, 13641, 11693, 6116, 694, 718, 515, 334, 1429, 10440, 199, 416, 401, 5133, 7369, 777, 314, 813, 1227, 42940, 727, 10878, 273, 3428, 267, 14944, 510, 6027, 199, 0, 199, 574, 423, 596, 35, 1385, 534, 2880, 978, 630, 344, 956, 275, 702, 401, 4486, 445, 6281, 296, 1123, 30711, 24305, 566, 199, 19960, 1139, 550, 2102, 301, 17578, 1264, 438, 16858, 1322, 260, 1069, 3169, 428, 4746, 410, 795, 41879, 5219, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 469, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 382, 368, 2013, 331, 1568, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 1752, 561, 271, 2037, 296, 1486, 10554, 199, 349, 20770, 33239, 48459, 1185, 44989, 1882, 8165, 1517, 727, 1199, 416, 595, 14263, 535, 543, 547, 9586, 712, 16563, 199, 357, 3339, 417, 3006, 31970, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 28288, 424, 17916, 199, 1630, 441, 35861, 3273, 35341, 735, 49, 199, 0, 199, 2751, 1130, 838, 300, 3033, 25855, 4389, 4173, 542, 5113, 25919, 417, 10165, 4617, 878, 644, 2824, 2628, 516, 199, 428, 269, 17708, 7478, 20058, 4837, 31893, 1220, 6848, 10250, 8793, 709, 2211, 317, 15752, 1098, 389, 477, 2400, 33, 199, 11156, 286, 15337, 504, 1395, 2334, 907, 2685, 271, 535, 1191, 12678, 343, 634, 11161, 356, 425, 6931, 692, 10984, 199, 8294, 463, 6320, 29758, 388, 568, 1239, 21933, 458, 410, 406, 2116, 364, 1315, 6299, 394, 2482, 2702, 27604, 12414, 1380, 199, 383, 636, 320, 1318, 6241, 199, 0, 199, 1416, 2966, 444, 24634, 394, 12464, 10298, 390, 427, 3775, 277, 517, 5200, 1290, 6687, 24649, 515, 323, 626, 332, 1889, 199, 11427, 278, 1662, 2079, 656, 281, 2023, 295, 28611, 9213, 575, 770, 281, 1677, 282, 4082, 1955, 377, 590, 2894, 32897, 2266, 199, 26875, 22344, 434, 4785, 2320, 4078, 613, 375, 413, 545, 17667, 708, 677, 950, 332, 1584, 36642, 2884, 829, 268, 12044, 199, 1235, 268, 20264, 661, 348, 780, 452, 535, 2707, 385, 11169, 3255, 199, 0, 199, 574, 13267, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 278, 399, 12167, 518, 199, 45205, 1139, 1185, 2922, 301, 49441, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2455, 313, 6076, 291, 22269, 2868, 1984, 9839, 478, 1840, 394, 3020, 3980, 23122, 296, 2967, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 1610, 2238, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 373, 3853, 34010, 6382, 1180, 764, 49360, 262, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 371, 7629, 339, 2136, 527, 792, 1000, 527, 2605, 330, 35766, 800, 4166, 4379, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 789, 8778, 14402, 455, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 267, 2655, 258, 1196, 26610, 1932, 953, 16493, 46872, 1208, 5017, 556, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 30190, 891, 360, 4220, 914, 18442, 1957, 2130, 580, 301, 32676, 497, 776, 15418, 472, 4295, 2461, 461, 25984, 199, 44524, 35696, 843, 612, 298, 599, 584, 3832, 508, 26321, 443, 858, 292, 979, 789, 11620, 20350, 199, 0, 199, 2702, 1039, 1041, 34301, 789, 2018, 348, 2737, 1597, 1006, 380, 702, 40613, 672, 20735, 1472, 275, 2168, 614, 199, 291, 3504, 13646, 2370, 1764, 29382, 374, 754, 17238, 493, 1607, 6314, 2287, 2906, 7783, 929, 377, 447, 786, 482, 199, 319, 2583, 274, 6164, 755, 1806, 36462, 516, 6427, 312, 2030, 36464, 1693, 1560, 322, 936, 1802, 9366, 381, 431, 16906, 199, 456, 11881, 748, 7170, 572, 24555, 517, 364, 441, 18849, 269, 729, 794, 365, 1090, 12129, 735, 366, 981, 300, 7625, 199, 623, 13449, 1037, 2048, 334, 199, 0, 199, 1100, 596, 527, 38553, 977, 607, 16425, 452, 550, 4760, 1379, 279, 1518, 398, 1088, 1123, 715, 751, 374, 4996, 199, 2105, 1248, 20876, 13842, 448, 267, 1264, 438, 9048, 1322, 545, 715, 3946, 641, 7707, 833, 402, 406, 5908, 513, 55, 199, 7532, 2791, 291, 22269, 2868, 49, 1619, 8133, 1242, 859, 26475, 643, 318, 14525, 594, 269, 2200, 265, 825, 14437, 199, 1557, 487, 432, 368, 709, 1049, 270, 584, 28639, 37323, 8025, 1199, 470, 823, 2027, 1611, 326, 8730, 1408, 32868, 199, 26425, 578, 353, 339, 613, 37755, 45910, 888, 13783, 641, 360, 7746, 377, 518, 15458, 6865, 543, 547, 3363, 712, 341, 353, 199, 2639, 12000, 364, 603, 406, 22421, 452, 1946, 14414, 1201, 6585, 1053, 8367, 29688, 1025, 1203, 383, 742, 719, 10556, 199, 2833, 1898, 1240, 1191, 4095, 562, 199, 0, 199, 1100, 596, 527, 38553, 977, 607, 16425, 452, 550, 4760, 1379, 279, 1518, 398, 1088, 1123, 715, 751, 374, 4996, 199, 2105, 1248, 20876, 13842, 448, 267, 1264, 438, 9048, 1322, 545, 715, 3946, 641, 7707, 833, 402, 406, 5908, 513, 55, 199, 7532, 2791, 291, 22269, 2868, 49, 1619, 8133, 1242, 859, 26475, 643, 318, 14525, 594, 269, 2200, 265, 825, 14437, 199, 1557, 487, 432, 368, 709, 1049, 270, 584, 28639, 37323, 8025, 1199, 470, 823, 2027, 1611, 326, 8730, 1408, 32868, 199, 39, 935, 16853, 339, 613, 37755, 45910, 888, 13783, 641, 360, 7746, 377, 518, 15458, 6865, 543, 547, 3363, 712, 341, 353, 199, 2639, 12000, 364, 603, 406, 22421, 452, 1946, 14414, 1201, 6585, 1053, 3323, 29688, 1025, 1203, 383, 742, 719, 10556, 199, 2833, 1898, 1240, 1191, 4095, 562, 199, 0, 199, 1100, 596, 527, 38553, 977, 607, 16425, 452, 550, 4760, 1379, 279, 1518, 398, 1088, 1123, 715, 751, 374, 4996, 199, 2105, 1248, 20876, 13842, 448, 267, 1264, 438, 9048, 1322, 545, 715, 3946, 641, 7707, 833, 402, 406, 5908, 513, 55 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 474, 638, 10185, 3573, 1534, 2295, 346, 662, 361, 3257, 2087, 364, 9017, 199, 7078, 2590, 40309, 632, 19713, 26306, 4210, 6401, 1076, 407, 4638, 1332, 27619, 1351, 1053, 12776, 370, 476, 199, 44, 4633, 391, 45167, 941, 26142, 1948, 271, 1245, 367, 8023, 1464, 377, 43951, 24170, 485, 452, 18106, 199, 0, 199, 26366, 4494, 293, 655, 29150, 507, 10420, 287, 518, 24904, 3683, 7639, 1045, 323, 990, 12122, 876, 18362, 328, 5864, 199, 11021, 427, 1931, 328, 3007, 413, 42516, 2005, 259, 1131, 1268, 691, 396, 1701, 1360, 3627, 19518, 1812, 368, 375, 402, 199, 15615, 2080, 8233, 764, 29995, 376, 624, 23738, 634, 509, 48747, 1108, 437, 465, 344, 423, 11582, 402, 745, 1185, 432, 199, 51, 5872, 276, 1148, 18554, 463, 1605, 466, 47957, 1741, 914, 450, 19448, 734, 2182, 457, 33490, 351, 698, 410, 2469, 283, 199, 3352, 1851, 508, 1357, 46, 199, 0, 199, 1100, 9533, 1452, 592, 267, 3044, 10820, 5135, 370, 1663, 288, 1760, 492, 1867, 18548, 1123, 342, 5813, 429, 6681, 199, 403, 16045, 5105, 390, 764, 26708, 35086, 2238, 264, 3554, 1573, 10579, 420, 466, 10442, 44919, 7785, 837, 199, 1734, 2018, 715, 26610, 913, 25213, 1544, 264, 5784, 413, 638, 319, 10343, 11240, 467, 340, 1530, 16539, 1254, 1280, 199, 762, 20762, 852, 261, 12142, 1328, 7277, 330, 5593, 314, 13308, 14075, 869, 420, 3962, 1767, 2648, 281, 1053, 523, 199, 16770, 44671, 2503, 298, 1736, 446, 742, 1581, 1838, 282, 3302, 1237, 1686, 11679, 283, 1041, 406, 199, 0, 199, 1100, 1415, 613, 755, 2678, 9773, 259, 1012, 274, 1473, 296, 1392, 481, 1958, 47383, 34874, 281, 473, 402, 1248, 36285, 199, 581, 274, 3564, 401, 2773, 49, 1952, 683, 275, 782, 426, 34128, 376, 1823, 257, 562, 277, 939, 364, 9342, 834, 6823, 334, 199, 475, 435, 6497, 8648, 322, 1260, 384, 797, 535, 675, 583, 30551, 2092, 536, 364, 9191, 2253, 7507, 771, 425, 2744, 335, 199, 44, 1514, 15479, 5804, 822, 671, 941, 332, 933, 398, 1294, 1257, 864, 14131, 1296, 366, 1053, 710, 15769, 370, 19316, 199, 2984, 388, 30969, 4360, 502, 1121, 300, 1605, 36, 631, 5317, 7436, 986, 260, 819, 3851, 199, 0, 199, 475, 5733, 712, 570, 320, 3291, 2279, 421, 15347, 318, 1787, 483, 371, 14428, 536, 365, 1348, 621, 4640, 1616, 4795, 49, 199, 1259, 1142, 479, 373, 340, 1974, 16037, 14655, 259, 825, 2193, 1283, 1682, 381, 610, 5064, 334, 978, 547, 353, 12931, 2094, 199, 49463, 1402, 380, 862, 13897, 3678, 45802, 362, 2083, 329, 2213, 299, 35358, 499, 388, 17243, 1208, 514, 13324, 1252, 199, 259, 980, 283, 13275, 20001, 1574, 554, 442, 27466, 38247, 1754, 43328, 23407, 513, 33108, 284, 2628, 350, 1837, 424, 199, 322, 3552, 526, 2594, 45030, 4881, 766, 341, 13263, 13948, 15416, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 7884, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 20199, 15356, 32126, 559, 10685, 463, 400, 9263, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 381, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 280, 553, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 3089, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 1942, 284, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 514, 35290, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 12779, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 381, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 23475, 1890, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 48911, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 11805, 11403, 635, 554, 798, 2279, 427, 16675, 4670, 11008, 407, 16662, 1110, 7194, 1348, 1022, 4640, 1177, 454, 199, 266, 1259, 1142, 351, 5911, 1974, 16037, 1590, 827, 24752, 509, 47874, 46644, 610, 315, 11231, 1806, 547, 353, 12931 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1176, 285, 2036, 2550, 454, 6563, 10087, 13219, 43867, 413, 7318, 283, 5517, 4945, 618, 23202, 199, 6851, 713, 287, 3965, 371, 2076, 18549, 3562, 39141, 38329, 387, 606, 474, 1518, 47352, 431, 736, 273, 735, 31050, 199, 1861, 18398, 2215, 1017, 12877, 284, 486, 1895, 292, 1327, 2967, 199, 0, 199, 2110, 970, 479, 442, 437, 4539, 850, 851, 1994, 326, 1276, 325, 34209, 1137, 454, 3178, 37669, 3115, 9514, 314, 55, 199, 741, 283, 2310, 47126, 1704, 3297, 605, 3072, 536, 952, 1230, 515, 281, 589, 732, 49046, 1876, 339, 500, 19951, 199, 673, 10361, 372, 419, 325, 504, 1829, 11625, 9888, 699, 6200, 3666, 473, 37495, 2068, 635, 373, 6497, 275, 1843, 199, 3046, 263, 579, 3586, 2422, 49463, 535, 1486, 548, 447, 521, 15108, 271, 2151, 371, 16488, 676, 29297, 2265, 12424, 199, 1023, 835, 383, 424, 4350, 1787, 488, 16504, 694, 2631, 46890, 23258, 516, 18437, 362, 9304, 3441, 368, 2658, 199, 7988, 2013, 613, 2532, 503, 531, 917, 2303, 446, 38722, 13998, 964, 335, 1887, 1433, 1317, 28321, 427, 1917, 2938, 199, 44, 13268, 264, 3374, 620, 379, 377, 13946, 574, 10288, 2195, 1044, 4407, 622, 324, 1011, 900, 1723, 312, 526, 275, 1169, 199, 19798, 2130, 582, 1554, 378, 4907, 3960, 947, 522, 1118, 530, 382, 8131, 15537, 22675, 1375, 14694, 510, 535, 199, 1540, 702, 276, 199, 0, 199, 574, 13267, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 4488, 1158, 374, 518, 199, 45205, 1139, 1185, 2922, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2455, 313, 6076, 291, 22269, 2868, 1984, 466, 48752, 2347, 394, 3020, 3980, 23122, 296, 2967, 2200, 265, 825, 15140, 199, 15494, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 1610, 2238, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 280, 3853, 34010, 6382, 1180, 764, 49360, 262, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 35861, 3273, 595, 685, 4161, 199, 0, 199, 22401, 372, 764, 5690, 1961, 5987, 483, 11934, 489, 10983, 5426, 11150, 273, 682, 390, 20940, 4334, 401, 2281, 199, 1488, 2870, 334, 2377, 16037, 1442, 926, 41, 1342, 3555, 1673, 10766, 540, 11675, 41008, 11692, 521, 942, 298, 4036, 199, 1508, 1402, 40281, 744, 1070, 344, 5570, 23270, 1342, 349, 500, 9078, 939, 457, 19161, 951, 19981, 4426, 1334, 538, 199, 259, 956, 48, 1656, 401, 573, 2283, 538, 6251, 33009, 430, 1754, 284, 11011, 24805, 299, 1341, 273, 2379, 888, 3519, 18335, 199, 44, 1376, 432, 11727, 1003, 11381, 561, 283, 482, 562, 485, 1352, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10328, 634, 25451, 1308, 7922, 6677, 1970, 12202, 3569, 768, 317, 199, 14152, 259, 1470, 548, 10143, 954, 358, 3234, 679, 301, 931, 2826, 1349, 55, 3310, 285, 723, 49, 1183, 3048, 391, 4062, 199, 1626, 2483, 300, 832, 5530, 423, 692, 400, 603, 1562, 582, 6846, 11786, 1131, 344, 4285, 3624, 3158, 356, 636, 33, 199, 39, 23563, 633, 695, 408, 5037, 3393, 9444, 353, 550, 636, 1490, 955, 314, 2458, 8236, 3495, 5353, 33604, 10788, 199, 479, 281, 3620, 2659, 2042, 428, 321, 961, 561, 199, 0, 199, 2364, 459, 801, 446, 8495, 263, 4428, 3587, 12489, 378, 1936, 358, 12935, 11326, 427, 1348, 24388, 1428, 1818, 1887, 199, 25260, 1142, 479, 15788, 2226, 16037, 1590, 827, 825, 433, 12545, 1898, 354, 1030, 1031, 351, 977, 2569, 353, 1416, 275, 199, 360, 1424, 1402, 380, 862, 13897, 3678, 482, 4661, 1070, 329, 1346, 299, 33884, 499, 388, 17243, 1065, 298, 26755, 2301, 199, 1893, 360, 956, 7803, 404, 1325, 41517, 339, 1730, 755, 12489, 1754, 43328, 23407, 38145, 805, 284, 2379, 406, 33877, 199, 1312, 36387, 459, 49, 836, 4205, 7650, 695, 816, 2752, 411, 7215, 199, 0, 199, 1857, 978, 1977, 39852, 265, 686, 732, 12165, 327, 655, 15706, 2486, 15762, 260, 670, 49483, 2641, 1142, 10459, 199, 14717, 1381, 390, 1442, 1217, 24752, 4797, 1510, 48331, 610, 6823, 1889, 383, 4837, 268, 4609, 278, 1492, 1402, 354, 199, 18304, 692, 791, 326, 3276, 5217, 332, 1308, 433, 3676, 25508, 21006, 283, 1318, 271, 43456, 860, 263, 6768, 729, 33, 199, 16789, 1369, 424, 3288, 881, 8214, 46911, 35758, 1005, 11116, 464, 296, 2436, 2984, 2379, 7782, 380, 26561, 3261, 199, 300, 1793, 7723, 1420, 343, 1978, 385, 1206, 3439, 199, 0, 199, 20421, 363, 1351, 478, 378, 627, 3020, 283, 834, 36269, 24089, 6347, 1076, 1052, 1515, 1712, 1823, 299, 998, 463, 10475, 199, 633, 407, 1424, 496, 2234, 5529, 926, 317, 3003, 277, 2374, 4659, 900, 30366, 300, 1690, 594, 1998, 3659, 396, 348, 199, 10172, 2132, 506, 8298, 547, 7305, 665, 8497, 352, 1512, 546, 11612, 807, 3723, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 25222, 1792, 2713, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 2073, 21214, 294, 499, 55, 614, 279, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 30480, 1385, 898, 278, 1304, 32126, 559, 9228, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 5064, 269, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 399, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 636, 379, 418, 649, 1279, 1486, 17007, 1071, 261, 1968, 414, 199, 0, 199, 1100, 352, 4489, 319, 653, 2029, 405, 463, 1005, 1879, 662, 11193, 757, 968, 1815, 7832, 19524, 572, 4197, 4388, 199, 625, 19438, 753, 11390, 24986, 6321, 377, 23208, 400, 2815, 363, 3416, 533, 376, 1777, 11974, 4570, 1502, 1948, 52, 199, 28484, 459, 257, 2546, 551, 539, 9970, 1708, 323, 3885, 1334, 396, 9193, 1296, 435, 538, 3182, 299, 6165, 5748, 532, 199, 23623, 514, 917, 360, 22239, 1067, 36, 584, 605, 455, 559, 322, 847, 275, 1299, 34490, 916, 22951, 319, 16083, 403, 32140, 199, 15333, 1358, 364, 14880, 3319, 529, 2500, 381, 497, 2411, 4069, 509, 610, 490, 24238, 1126, 480, 199, 0, 199, 1367, 1909, 525, 13571, 3894, 2625, 14824, 714, 1785, 595, 396, 1148, 539, 671, 7193, 786, 403, 3860, 707, 1326, 199, 48, 986, 276, 2190, 1381, 390, 1442, 25293, 667, 2775, 1293, 539, 381, 613, 11016, 319, 1041, 564, 398, 1131, 44701, 1833, 199, 429, 6043, 4430, 672, 10723, 1060, 1223, 9528, 349, 1469, 4840, 22450, 41878, 263, 820, 980, 454, 592, 857, 484, 199, 44647, 20697, 31943, 4419, 502, 3412, 404, 2338, 1216, 284, 2574, 2148, 1341, 290, 2379, 712, 776, 354, 1057, 1376, 350, 199, 500, 19566, 477, 5747, 326, 525, 21470, 4887, 17641, 1915, 683, 199, 0, 199, 1147, 1549, 47142, 525, 1000, 384, 7004, 1601, 1966, 1377, 740, 328, 693, 353, 1903, 1138, 380, 667, 2665, 11517, 199, 528, 1237, 34172, 1637, 1528, 7144, 486, 1108, 398, 1369, 287, 3027, 342, 451, 22702, 567, 2767, 321, 2241, 35992, 1147, 199, 461, 852, 430, 49, 1970, 13060, 476, 685, 416, 747, 696, 24525, 2021, 1111, 353, 1454, 467, 2485, 15956, 8254, 7151, 199, 36, 6680, 258, 795, 263, 764, 504, 990, 364, 8631, 425, 447, 32676, 24208, 683, 13860, 930, 636, 6235, 25984, 35, 199, 39, 823, 1557, 47469, 485, 6385, 17234, 984, 20210, 1510, 7184, 2579, 961, 6613, 408, 939, 4477, 199, 0, 199, 1339, 463, 13577, 1290, 367, 601, 463, 1181, 11313, 13332, 47994, 1972, 390, 7136, 4290, 2054, 14511, 7934, 16824, 199, 1508, 388, 18095, 1445, 262, 31528, 1837, 2051, 638, 321, 842, 1400, 48, 3763, 9793, 345, 3360, 1606, 37892, 367, 1756, 199, 922, 3764, 313, 1376, 1477, 1132, 396, 1288, 529, 4632, 300, 2178, 365, 905, 4172, 2904, 15318, 655, 3971, 377, 644, 50, 199, 44, 1051, 1928, 10346, 1916, 300, 15857, 399, 7037, 565, 472, 31021, 11532, 1285, 2434, 1440, 5506, 1114, 1170, 455, 199, 14837, 467, 370, 351, 493, 9573, 962, 46, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 400, 7556, 317, 899, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1448, 547, 353, 1416, 199, 461, 278, 1119, 1686, 380, 1131, 13897, 3678, 382, 6607, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1025, 1088, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 978, 16370, 37851, 3503, 657, 4804, 2335, 360, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 888, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 1088, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 978, 16370, 37851, 3503, 657, 4804, 2335, 360, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 888, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 978, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 888, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 754, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 315, 17506, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 1663, 497, 3718, 442, 331, 747, 514, 3183, 592, 564, 375, 602, 301, 7722, 4843, 4816, 28470, 11202, 3964, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 3964, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 799, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 33186, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3949, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 730, 273, 9965, 281, 982, 799, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 29091, 371, 554, 23563, 403, 754, 299, 503, 328, 1030, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 710, 300, 20368, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 499, 388, 29783, 1178, 48, 1503, 20668, 199, 355, 8059, 764, 4437, 352, 1180, 1946, 656, 354, 644, 1173, 1859, 1754, 43328, 573, 286, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5919, 9682, 1556, 8808, 750, 270, 199, 0, 199, 11805, 5388, 820, 412, 798, 2279, 427, 16675, 558, 431, 820, 369, 1461, 266, 5945, 365, 1348, 1076, 4640, 1177, 497, 199, 266, 1480, 1142, 351, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1806, 547, 353, 12931, 199, 8200, 1119, 1686, 380, 862, 13897, 3482, 382, 6607, 1138, 329, 1915, 30353, 294, 499, 388, 17243, 1178, 48, 1503, 20668, 199, 355, 8059, 764, 4437, 352, 1180, 1946, 656, 354, 644, 1173, 1859, 1754, 43328, 573, 286, 38145, 710, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5663, 9682, 1556, 8808, 750, 270, 199, 0, 199, 11805, 11403, 820, 412, 798, 2279, 427, 1617, 509, 3084, 1097, 458, 1461, 266, 5945, 365, 1348, 1076, 4640, 1177, 497, 199, 266, 1480, 1142, 351, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 315, 11231, 1806, 547, 353, 12931, 199, 8200, 1119, 1686, 380, 862, 13897, 3482, 382, 6607, 1138, 329, 2073, 30353, 294, 499, 388, 17243, 1178, 48, 1503, 20668, 199, 355, 8059, 764, 4437, 352, 1180, 1946, 656, 354, 644, 1173, 1859, 1754, 43328, 573, 286, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5919, 9682, 1556, 8808, 750, 270, 199, 0, 199, 615, 19496, 424, 841, 257, 798, 15060, 28177, 474, 31607, 674, 1667, 358, 1110, 7194, 1348, 1076, 4640, 1177, 443, 199, 266, 1480, 39932, 1201, 340, 1974, 16037, 1590, 827, 24752, 509, 1283, 947, 354, 610, 315, 11231, 1806, 547, 353, 12931, 199, 8200, 1119, 1686, 380, 862, 13897, 3482, 14747, 316, 1138, 329, 1827, 30353, 294, 499, 388, 17243, 1178, 48, 1503, 21535, 199, 355, 14476, 764, 4437, 353, 1180, 1946, 554, 354, 757, 1173, 1859, 1754, 43328, 573, 286, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5919, 9682, 1556, 8808, 750, 270, 199, 0, 199, 14561, 272, 1429, 793, 299, 45526, 1961, 474, 399, 10604, 427, 1370, 391, 39463, 3802, 344, 2249, 1076, 6022, 1236, 199, 345, 583, 823, 1142, 36180, 1784, 10083, 390, 766, 827, 16828, 5509, 1475, 12789, 610, 315, 1759, 13909, 3638, 4152, 199, 44, 6484, 1424, 1402, 380, 8275, 378, 825, 268, 10059, 316, 1070, 329, 2327, 21214, 294, 499, 388, 29783, 1178, 15147, 33, 199, 457, 355, 3366, 862, 507, 27468, 341, 1291, 594, 3406, 43652, 25477, 4263, 473, 419, 19935, 290, 1341, 284, 2628, 17067, 199, 29836, 10066, 2782, 44061, 458, 1971, 293, 1967, 716, 1187, 632, 199, 0, 199, 2693, 5151, 420, 2754, 4139, 799, 655, 11436, 835, 5675, 487, 751, 30564, 18645, 403, 660, 290, 50051, 972, 52, 199, 394, 6064, 425, 11060, 4010, 611, 3555, 334, 786, 32862, 11675, 378, 477, 2569, 521, 1147, 5747, 1119, 1564, 18873, 199, 2370, 408, 9693, 482, 10902, 587, 349, 1346, 299, 1074, 452, 3161, 17243, 1065, 1490, 447, 532, 3113, 770, 883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7532, 2791, 291, 22269, 2868, 49, 1619, 8133, 1242, 859, 26475, 643, 318, 14525, 594, 269, 2200, 265, 825, 14437, 199, 1557, 487, 432, 368, 709, 1049, 270, 584, 28639, 37323, 8025, 1199, 470, 823, 2027, 1611, 326, 8730, 1408, 32868, 199, 39, 935, 16106, 339, 613, 37755, 45910, 888, 13783, 641, 360, 7746, 377, 518, 15458, 6865, 543, 547, 3363, 712, 341, 353, 199, 2639, 12000, 364, 603, 406, 22421, 452, 1946, 14414, 1201, 6585, 1053, 8367, 29688, 1025, 1203, 383, 742, 719, 10556, 199, 2833, 1898, 1240, 1191, 4095, 562, 199, 0, 199, 1100, 596, 527, 38553, 977, 607, 16425, 452, 550, 4760, 1379, 279, 1518, 398, 1088, 1123, 715, 751, 374, 4996, 199, 2105, 1248, 20876, 13842, 448, 267, 1264, 438, 9048, 1322, 545, 715, 3946, 641, 7707, 833, 402, 406, 5908, 513, 55, 199, 7532, 2791, 291, 22269, 2868, 49, 1619, 8133, 1242, 859, 26475, 643, 318, 14525, 594, 269, 2200, 265, 825, 14437, 199, 1557, 487, 432, 368, 709, 1049, 270, 584, 28639, 37323, 8025, 1199, 566, 823, 2027, 1611, 326, 8730, 1408, 32868, 199, 39, 935, 16853, 339, 613, 37755, 45910, 888, 13783, 641, 360, 7746, 377, 518, 15458, 6865, 543, 547, 3363, 712, 341, 353, 199, 2639, 12000, 364, 603, 406, 22421, 452, 1946, 14414, 1201, 6585, 1053, 8367, 29688, 1025, 1203, 383, 742, 719, 10556, 199, 2833, 1898, 1240, 1191, 4095, 562, 199, 0, 199, 1100, 596, 527, 38553, 977, 607, 16425, 452, 550, 4760, 1379, 279, 1518, 398, 1088, 1123, 715, 751, 374, 4996, 199, 2105, 1248, 20876, 13842, 448, 267, 1264, 438, 9048, 1322, 545, 715, 3946, 641, 7707, 833, 402, 406, 5908, 513, 55, 199, 7532, 2791, 291, 22269, 2868, 49, 1619, 8133, 1242, 859, 26475, 643, 318, 42419, 594, 269, 2200, 265, 825, 14437, 199, 1557, 487, 432, 368, 709, 1049, 270, 584, 28639, 37323, 8025, 1199, 470, 823, 2027, 1611, 326, 8730, 1408, 32868, 199, 39, 935, 16853, 339, 613, 37755, 45910, 888, 13783, 641, 360, 7746, 377, 518, 15458, 6865, 543, 547, 3363, 712, 341, 353, 199, 2639, 12000, 364, 603, 406, 22421, 452, 1946, 14414, 1201, 6585, 1053, 8367, 29688, 1025, 1203, 383, 742, 719, 10556, 199, 2833, 1898, 1240, 1191, 4095, 562, 199, 0, 199, 2606, 596, 527, 38553, 977, 607, 16425, 452, 550, 4760, 1379, 279, 1518, 398, 1088, 1123, 715, 751, 374, 4996, 199, 2105, 1248, 24848, 13842, 448, 267, 1264, 438, 9048, 1322, 545, 715, 3946, 641, 10963, 833, 402, 406, 5908, 513, 55, 199, 7532, 2791, 291, 22269, 2868, 49, 1619, 5176, 1242, 859, 26475, 643, 318, 643, 296, 594, 269, 2200, 265, 825, 14437, 199, 1557, 487, 432, 368, 709, 1049, 270, 584, 28639, 37323, 8025, 1199, 470, 823, 2027, 1611, 326, 8730, 1408, 32868, 199, 39, 935, 16853, 339, 613, 37755, 45910, 1048, 13783, 641, 360, 7746, 377, 518, 357, 742, 529, 543, 547, 3363, 712, 341, 353, 199, 2639, 12000, 364, 603, 406, 22421, 452, 1946, 14414, 1201, 6585, 1053, 8367, 29688, 1025, 1203, 383, 742, 719, 10556, 199, 2833, 1898, 1240, 1191, 4095, 562, 199, 0, 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 ]
[ 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 16724, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 602, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 32106, 754, 747, 5672, 1030, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 640, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 2017, 47349, 2095, 5195, 627, 353, 24125, 8512, 1150, 547, 2042, 1612, 323, 1839, 593, 409, 9467, 299, 694, 370, 10475, 199, 920, 1603, 38398, 1602, 3825, 1816, 3415, 1363, 3385, 600, 354, 4659, 492, 41396, 47909, 9367, 1981, 376, 4013, 199, 14154, 23280, 274, 31088, 2255, 295, 5270, 13446, 2085, 46153, 496, 1680, 1427, 199, 0, 199, 33926, 1385, 898, 278, 1304, 32126, 559, 10685, 463, 31187, 1812, 12779, 1110, 287, 1669, 373, 1076, 4640, 1205, 49, 199, 52, 1841, 349, 1142, 280, 5911, 1974, 16037, 1590, 827, 24752, 509, 1283, 1307, 354, 610, 324, 11231, 1448, 547, 353, 1416, 199, 461, 360, 1119, 1686, 380, 1131, 13897, 3678, 14441, 316, 1070, 349, 1469, 21214, 294, 499, 388, 17243, 1178, 48, 1503, 314, 199, 1989, 7977, 764, 4437, 30307, 317, 1384, 339, 10180, 1173, 1834, 1754, 43328, 573, 38548, 33108, 284, 2461, 32222, 199, 2493, 322, 4239, 641, 724, 5663, 326, 5840, 528, 669, 750, 270, 199, 0, 199, 1094, 411, 14435, 32774, 13255, 465, 339, 11866, 37112, 15949, 2041, 41, 1241, 274, 1631, 291, 1883, 282, 5461, 1050, 199, 301, 4096, 312, 2299, 809, 1613, 327, 4223, 5450, 503, 10679, 1517, 295, 517, 4316, 362, 1167, 4638, 522, 1702, 199, 807, 14340, 297, 717, 452, 49068, 642, 1141, 315, 4229, 31946, 1520, 12733, 716, 292, 36647, 1890, 2988, 275, 199, 3265, 13148, 2113, 316, 4512, 261, 927, 449, 3592, 2066, 1450, 301, 1111, 9927, 1402, 15186, 674, 793, 281, 584, 52, 199, 1579, 769, 278, 32712, 3629, 267, 5190, 744, 297, 855, 391, 451, 2225, 544, 6965, 579, 375, 973, 607, 464, 8936, 199, 340, 9136, 46618, 2205, 411, 854, 316, 535, 17250, 927, 1609, 295, 382, 863, 850, 3412, 9662, 271, 1982, 638, 433, 199, 462, 527, 343, 5596, 516, 420, 581, 329, 707, 487, 19108, 40577, 329, 1275, 635, 270, 1029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5489, 28072, 634, 452, 2007, 288, 2867, 22555, 4650, 19275, 1884, 199, 268, 1904, 18811, 37051, 545, 292, 547, 3589, 4040, 30909, 435, 42131, 345, 7486, 1218, 2061, 409, 9534, 2264, 1596, 199, 496, 1058, 16093, 321, 46773, 20050, 1561, 813, 8216, 657, 406, 1973, 40194, 331, 2855, 34487, 1897, 401, 8104, 55, 199, 280, 696, 275, 9648, 642, 438, 322, 2123, 4151, 1752, 2845, 769, 7612, 13649, 260, 1439, 440, 1488, 489, 461, 18988, 54, 199, 28823, 590, 15233, 525, 341, 517, 1428, 1569, 3229, 345, 5359, 1152, 31621, 24870, 531, 329, 1469, 9271, 543, 744, 199, 267, 16067, 291, 3096, 401, 47995, 1029, 298, 550, 3656, 387, 14981, 980, 264, 1314, 258, 3688, 25820, 652, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 5682, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 1430, 14153, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 399, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 3304, 4299, 199, 0, 199, 1927, 394, 19486, 342, 37186, 8825, 446, 742, 1460, 12681, 1294, 323, 8339, 17806, 279, 19286, 1558, 18332, 586, 199, 10565, 381, 1179, 1004, 31791, 840, 634, 578, 354, 978, 535, 451, 7998, 349, 1511, 2082, 23470, 2014, 615, 897, 33, 199, 22901, 4548, 284, 3987, 320, 399, 1139, 431, 2458, 28952, 1255, 15810, 1066, 563, 5836, 8411, 446, 2558, 1227, 1609, 199, 1625, 3588, 23352, 425, 544, 3746, 1226, 364, 2164, 1951, 385, 16783, 654, 285, 1295, 1987, 497, 374, 781, 3566, 428, 199, 33984, 382, 4015, 23391, 35588, 373, 413, 28011, 1401, 391, 762, 395, 902, 271, 704, 1406, 332, 2148, 1242, 2617, 28399, 199, 314, 469, 826, 24021, 13896, 362, 3182, 37158, 3047 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 55, 1947, 199, 630, 289, 1268, 2074, 10876, 434, 1159, 42016, 40362, 845, 4746, 10114, 535, 357, 596, 1925, 1007, 404, 381, 5658, 199, 39, 1453, 1866, 2922, 368, 27238, 395, 57, 17229, 1349, 34611, 351, 1769, 612, 21552, 7570, 18051, 412, 4274, 199, 0, 199, 3222, 1019, 648, 6425, 527, 5994, 2182, 513, 951, 22265, 1482, 6546, 1070, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 630, 21839, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 522, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 378, 199, 0, 199, 411, 41882, 29147, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 23183, 630, 21839, 434, 199, 14839, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 437, 5811, 22057, 1843, 199, 330, 442, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 44059, 1106, 267, 9461, 199, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 22096, 1876, 1231, 43, 199, 318, 7719, 399, 1076, 515, 33, 199, 0, 199, 14737, 7374, 1210, 1106, 4307, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 2068, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 904, 2880, 11620, 1105, 199, 0, 199, 382, 7195, 519, 4145, 1552, 41306, 339, 521, 388, 2306, 29746, 1341, 264, 878, 389, 3833, 601, 2164, 490, 360, 530, 534, 199, 350, 559, 5679, 2061, 299, 2092, 542, 2935, 25779, 15866, 317, 19857, 907, 300, 925, 281, 34060, 491, 543, 1011, 14906, 199, 44, 4509, 12330, 946, 7913, 1892, 49956, 36901, 608, 368, 880, 15028, 7489, 7064, 1258, 726, 362, 16608, 1204, 409, 199, 319, 460, 199, 0, 199, 3222, 768, 384, 837, 2595, 5994, 1252, 15659, 43870, 6158, 4796, 1070, 1739, 1483, 551, 884, 37891, 799, 199, 34172, 21839, 9602, 395, 486, 280, 5650, 317, 1408, 38712, 33304, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 30555, 4548, 337, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1093, 3807, 33, 199, 656, 8082, 9461, 1727, 596, 933, 46920, 778, 14310, 6910, 9739, 486, 1085, 9965, 281, 1053, 728, 1116, 319, 199, 424, 1770, 1231, 899, 7719, 1516, 361, 13914, 1372, 49131, 767, 44440, 297, 1030, 378, 199, 0, 199, 3452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 673, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 3931, 26303, 1254, 1280, 199, 762, 490, 5288, 263, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 199, 20597, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 2102, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1085, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 857, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 374, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1555, 2852, 7911, 3642, 413, 42516, 3910, 11784, 14448, 284, 536, 2281, 199, 13211, 2457, 6720, 1812, 368, 375, 1330, 301, 2697, 10269, 796, 352, 1400, 21156, 14332, 634, 509, 48747, 1108, 35, 199, 22031, 12982, 698, 1667, 528, 3891, 620, 318, 7378, 583, 332, 10718, 441, 1939, 24434, 506, 30366, 8799, 365, 485, 734, 199, 2182, 34807, 2174, 22663, 335, 2469, 272, 3352, 293, 493, 477, 3198, 693, 391, 1102, 3979, 335, 557, 199, 0, 199, 6463, 267, 3245, 7031, 329, 2092, 946, 481, 407, 30299, 552, 41008, 507, 8274, 287, 518, 24904, 3683, 7639, 881, 199, 323, 990, 338, 814, 975, 441, 1534, 18167, 624, 2852, 353, 423, 3642, 46164, 365, 3910, 360, 13427, 5082, 536, 2281, 199, 8259, 2457, 6720, 28326, 12099, 22005, 477, 7277, 450, 3607, 15763, 624, 25605, 634, 509, 48747, 1108, 35, 199, 51, 465, 344, 16244, 500, 402, 863, 1185, 1964, 7378, 583, 1388, 20526, 318, 33780, 2537, 714, 360, 653, 10455, 485, 734, 199, 2182, 34807, 2174, 1195, 461, 355, 19859, 3352, 293, 493, 477, 3198, 693, 346, 8049, 4175, 11368, 199, 0, 199, 375, 933, 437, 3795, 3674, 1394, 334, 5140, 7003, 690, 2548, 2482, 11800, 3324, 7614, 21250, 449, 3343, 1019, 415, 199, 32151, 550, 537, 295, 635, 281, 655, 30640, 507, 3993, 367, 518, 1562, 366, 734, 6022, 464, 348, 1577, 300, 8225, 43, 199, 23623, 454, 683, 347, 750, 477, 1054, 347, 1229, 29880, 2050, 15808, 2491, 822, 464, 275, 2545, 1747, 1118, 28825, 199, 273, 1993, 45008, 659, 13560, 744, 326, 3215, 44151, 624, 5994, 554, 2258, 1902, 413, 6285, 10624, 35446, 3634, 199, 1557, 2937, 5889, 1312, 14559, 2701, 1228, 280, 2225, 280, 5806, 334, 892, 2033, 48, 541, 7880, 12926, 3365, 703, 199, 2020, 292, 4689, 994, 1288, 20517, 1641, 271, 1060, 780, 345, 3988, 488, 1789, 199, 0, 199, 382, 2823, 922, 587, 282, 1826, 1023, 28114, 313, 792, 314, 582, 55, 1132, 314, 2921, 477, 1068, 682, 21531, 393, 460, 199, 975, 506, 392, 467, 41754, 377, 1917, 16037, 1442, 1052, 727, 903, 3653, 760, 274, 540, 11675, 744, 39563, 1280, 375, 199, 44, 5747, 1318, 1564, 20353, 744, 436, 10492, 2021, 3491, 475, 11148, 526, 6119, 772, 394, 13938, 279, 1065, 679, 447, 199, 32063, 997, 770, 14782, 407, 1355, 258, 775, 18937, 315, 5685, 1754, 284, 2717, 32859, 5367, 1341, 290, 16277, 5507, 199, 44, 2309, 36387, 806, 315, 1804, 351, 642, 22850, 9447, 257, 199, 0, 199, 27845, 668, 4738, 360, 1328, 13787, 1199, 13500, 285, 2630, 4252, 507, 7611, 287, 518, 10369, 611, 681, 767, 490, 199, 39, 1522, 720, 259, 1046, 584, 674, 1844, 624, 1363, 417, 316, 1004, 37526, 1404, 1569, 45573, 788, 10887, 20793, 199, 718, 374, 693, 4216, 299, 1983, 861, 22422, 1209, 21860, 1350, 269, 609, 34202, 3630, 1056, 42194, 841, 3403, 199, 33605, 9981, 439, 4624, 639, 1357, 338, 1575, 441, 994, 281, 462, 5121, 536, 694, 1139, 23909, 496, 8037, 4702, 199, 5699, 6063, 1221, 9564, 463, 687, 403, 661, 275, 1064, 36, 527, 285, 12018, 1469, 292, 199, 0, 199, 574, 48805, 2728 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 495, 5579, 320, 683, 556, 406, 10518, 385, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 671, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 21633, 384, 395, 674, 36319, 1473, 16370, 786, 325, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 2822, 3130, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 385, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 40728, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 355, 636, 519, 199, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 910, 4703, 199, 12145, 404, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 377, 37297, 395, 674, 36319, 1473, 16370, 37851, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 439, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 33141, 354, 992, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1098, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 809, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 1205, 11820, 351, 199, 0, 199, 2161, 377, 37297, 395, 674, 36319, 1473, 16370, 786, 325, 3503, 657, 4804, 2335, 397, 1356, 5757, 2501, 6957, 199, 23872, 566, 332, 1172, 9465, 8610, 301, 4169, 344, 906, 9048, 465, 33190, 1299, 1804, 459, 7113, 1201, 474, 712, 199, 259, 1391, 394, 14340, 2791, 291, 22269, 2868, 2556, 23386, 353, 1348, 13912, 2497, 3980, 425, 607, 515, 15733, 386, 199, 495, 5579, 320, 683, 556, 406, 10518, 385, 915, 37511, 676, 23470, 13539, 430, 16390, 770, 349, 1547, 1015, 1070, 199, 296, 1162, 616, 23452, 6255, 713, 16873, 620, 1493, 1098, 389, 3438, 667, 291, 2160, 518, 1091, 594, 413, 543, 547, 33, 199, 393, 8101, 263, 788, 1040, 37482, 942, 406, 3271, 522, 1352, 716, 379, 11519, 491, 6565, 17494, 355, 1025, 1088, 361, 199, 14122, 719, 28222, 441, 1346, 1240, 1556, 4095, 676, 29693, 697, 351, 199, 0, 199, 2161, 377, 37297, 395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11924, 328, 1436, 452, 867, 315, 661, 1871, 284, 11888, 545, 3142, 9751, 412, 199, 1734, 291, 1159, 370, 732, 280, 1246, 521, 362, 858, 454, 8166, 299, 722, 470, 282, 760, 596, 947, 287, 9549, 623, 261, 199, 565, 293, 12185, 530, 2302, 964, 358, 3885, 11810, 5980, 1689, 9248, 2770, 1083, 2581, 1170, 48108, 654, 199, 7323, 334, 585, 5147, 5882, 342, 776, 429, 4268, 1589, 21557, 4567, 408, 3875, 349, 871, 15958, 3149, 2285, 290, 199, 5522, 336, 885, 20777, 419, 3162, 546, 4277, 545, 392, 330, 6226, 273, 1178, 325, 1633, 472, 301, 713, 911, 401, 3431, 199, 4203, 41950, 374, 3833, 921, 6793, 366, 737, 3355, 1621, 1810, 45915, 744, 54, 199, 0, 199, 4210, 6533, 2385, 25716, 1623, 349, 8922, 398, 401, 612, 1576, 1604, 500, 10124, 8482, 594, 401, 17671, 1579, 11404, 199, 51, 675, 373, 9238, 710, 340, 35215, 1181, 6437, 1748, 25415, 1264, 298, 11478, 540, 261, 616, 1231, 278, 5614, 4749, 46, 199, 1138, 1310, 1085, 1149, 37706, 797, 379, 542, 318, 1998, 273, 1231, 259, 710, 340, 26107, 2476, 1310, 4404, 963, 484, 10310, 199, 492, 1623, 11512, 284, 631, 259, 710, 362, 1225, 22888, 1310, 28730, 38228, 1047, 277, 1450, 576, 42904, 682, 268, 710, 199, 340, 40132, 1526, 1310, 35, 1157, 963, 49710, 1168, 1722, 37635, 917, 950, 485, 12440, 5631, 13140, 1939, 57, 199, 0, 199, 24334, 462, 4652, 279, 2043, 360, 381, 6369, 761, 27852, 35354, 675, 48504, 7249, 47868, 343, 1128, 2033, 555, 199, 49098, 42299, 796, 31791, 420, 15972, 3644, 372, 23014, 2275, 365, 447, 2610, 17896, 1792, 345, 1816, 12267, 495, 199, 363, 710, 5290, 39656, 5151, 37461, 2121, 610, 1975, 1556, 10412, 260, 503, 38691, 2033, 518, 398, 1520, 4503, 199, 1625, 267, 1435, 1349, 11653, 1422, 390, 470, 1016, 425, 1559, 1445, 539, 609, 28586, 871, 1786, 16236, 1982, 5171, 1843, 199, 334, 42555, 2299, 16056, 407, 322, 9263, 5256, 31209, 3963, 395, 902, 820, 333, 1406, 332, 4265, 1583, 2075, 276, 5656, 199, 358, 1413, 26184, 1053, 3321, 2255, 34659, 3047, 2172, 1740, 885, 328, 1497, 19859, 2394, 357, 721, 20344, 1143, 1224, 199, 317, 892, 31436, 272, 1025, 553, 906, 3311, 425, 10888, 2452, 3200, 638, 298, 2548, 417, 4323, 604, 5918, 342, 2237, 1052, 199, 48833, 1296, 275, 1511, 4431, 372, 531, 451, 429, 1613, 1042, 1798, 46231, 10387, 30655, 1585, 1485, 341, 31202, 526, 199, 485, 40646, 17611, 455, 338, 382, 1914, 359, 258, 958, 372, 521, 287, 1000, 3194, 573, 4762, 380, 1462, 910, 1572, 2715, 199, 0, 199, 1591, 271, 1109, 313, 1369, 358, 625, 10228, 10328, 634, 25451, 1308, 7922, 6677, 1970, 300, 4553, 622, 4458, 199, 14152, 420, 1142, 385, 7846, 954, 27706, 1035, 571, 5596, 2826, 1349, 55, 3310, 285, 723, 49, 1183, 3048, 391, 4062, 199, 1626, 7645, 300, 832, 5530, 423, 692, 400, 38851, 833, 266, 1788, 11786, 1131, 344, 2248, 5087, 3158, 2215, 6101, 199, 39, 23563, 633, 695, 408, 5037, 4730, 9444, 353, 550, 636, 1490, 955, 314, 2458, 8236, 3495, 5353, 33604, 10788, 199, 479, 281, 3620, 2659 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12292, 799, 358, 355, 486, 6963, 6782, 6273, 10259, 1036, 284, 18959, 712, 320, 1911, 199, 538, 6516, 2645, 38934, 1847, 404, 420, 2396, 9976, 545, 1867, 436, 4895, 497, 5668, 2081, 14048, 2864, 292, 199, 258, 885, 602, 35840, 5568, 9727, 4584, 24257, 294, 634, 273, 2316, 394, 1546, 29564, 39281, 661, 5085, 722, 199, 968, 1755, 380, 8970, 13416, 967, 336, 1852, 1399, 3714, 1840, 29683, 2998, 22689, 692, 4736, 1086, 45481, 199, 9548, 891, 4193, 1755, 298, 3193, 288, 473, 356, 469, 607, 33, 199, 0, 199, 21541, 439, 3533, 274, 1919, 265, 686, 1037, 4779, 319, 35, 1200, 12992, 2310, 41743, 14161, 497, 805, 290, 2749, 13904, 199, 4553, 417, 273, 1577, 4804, 350, 1040, 513, 6032, 347, 504, 462, 1054, 15587, 1051, 422, 2601, 1569, 40935, 31707, 199, 21382, 13195, 325, 939, 6016, 5169, 1983, 513, 344, 658, 11291, 993, 424, 4087, 315, 48942, 9111, 879, 1012, 199, 39, 2602, 6646, 10624, 334, 2725, 346, 3315, 2937, 281, 3291, 820, 19429, 2190, 346, 1802, 296, 13190, 2023, 2981, 550, 199, 1835, 541, 5291, 39812, 3292, 7226, 46351, 258, 584, 419, 331, 415, 6979, 770, 46610, 34676, 45014, 1475, 621, 199, 1819, 199, 0, 199, 1809, 23579, 538, 563, 789, 3480, 31813, 584, 2092, 8535, 15486, 27644, 22280, 587, 697, 300, 1072, 2778, 199, 260, 1765, 16045, 630, 28073, 2275, 789, 8778, 358, 43831, 859, 4253, 1800, 517, 342, 2469, 754, 455, 873, 554, 199, 267, 3585, 258, 1196, 26610, 1932, 953, 8334, 264, 1095, 301, 5017, 635, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 3807, 1889, 4220, 970, 609, 1289, 428, 2130, 580, 301, 32676, 24208, 46009, 472, 3631, 703, 11131, 776, 199, 44524, 35696, 843, 612, 3449, 17234, 3832, 3116, 406, 11846, 858, 292, 904, 282, 683, 363, 3596, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 332, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 419, 1391, 15652, 386, 639, 457, 5248, 1432, 37936, 467, 11490, 8810, 2951, 11020, 5037, 997, 8454, 37584, 358, 199, 373, 882, 362, 399, 516, 35477, 342, 199, 0, 199, 3222, 1019, 648, 6425, 527, 5994, 2182, 15659, 492, 5417, 1482, 6546, 1070, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 630, 21839, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 320, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5001, 35, 2448, 279, 465, 7672, 41959, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 446, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 589, 3583, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 4566, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 446, 2006, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 741, 260, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 446, 2006, 554, 535, 504, 55, 199, 28119, 441, 527, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 40952, 199, 261, 1336, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 325, 823, 935, 9018, 339, 16542, 620, 386, 2518, 4340, 1704, 7543, 37349, 446, 1439, 554, 535, 504, 2380, 8854, 199, 33340, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 5681, 1053, 483, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 6237, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1878, 276, 3715, 483, 381, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 1362, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1623, 199, 1835, 325, 823, 935, 9018, 339, 16542, 620, 386, 2518, 4340, 1704, 7543, 37349, 446, 1820, 554, 535, 504, 2380, 8854, 199, 33340, 447, 3350, 1525, 454, 47980, 22428, 820, 293, 26371, 5681, 1053, 483, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 5852, 1163, 2055, 1647, 26620, 1097, 36421, 6278, 294, 433, 2080, 548, 402, 555, 8609, 597, 289, 2187, 199, 31347, 425, 1172, 371, 1775, 9420, 1013, 1880, 7906, 6540, 439, 8367, 425, 285, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 10542, 457, 954, 38252, 12416, 390, 1602, 3826, 2085, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 10778, 1567, 199, 1835, 325, 823, 935, 9018, 339, 499, 431, 620, 386, 2518, 3120, 1605, 7543, 37349, 446, 1439, 554, 535, 504, 2380, 8854, 199, 28462, 447, 3350, 1525, 454, 397, 374, 27743, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 4566, 5001, 7160, 1163, 2055, 1647, 26620, 1647, 353, 14247, 5510, 433, 2080, 548, 402, 555, 8609, 597, 289, 2187, 199, 31347, 425, 1172, 371, 1775, 9420, 367, 33307, 7906, 6540, 439, 5106, 13236, 1642, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 19067, 369, 12416, 390, 1602, 3954, 2085, 299, 591, 403, 372, 1649, 299, 199, 44, 1183, 424, 611, 2057, 4437, 13944, 30371, 1362, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1567, 199, 1835, 325, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 656, 535, 504, 2380, 1989, 199, 28462, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 293, 19171, 1336, 199, 407, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 884, 2792, 36081, 199, 394, 630, 21839, 9648, 395, 486, 280, 5650, 317, 12425, 376, 5451, 341, 3827, 2288, 14150, 336, 631, 24006, 2170, 33, 199, 5811, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3807, 33, 199, 656, 2911, 409, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 378, 199, 0, 199, 1725, 416, 1019, 648, 6425, 527, 5994, 2182, 513, 951, 22265, 1482, 6546, 1070, 1511, 1483, 551, 884, 2792, 1855, 199, 16045, 630, 21839, 9648, 395, 486, 280, 5650, 317, 1532, 1859, 5451, 341, 3827, 2288, 14150, 336, 631, 468, 9678, 199, 2018, 4516, 1853, 367, 3718, 42771, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4816, 259, 1254, 1280, 3964, 199, 1381, 852, 15281, 3358, 22832, 933, 378, 709, 778, 14310, 6910, 279, 1256, 730, 273, 9965, 281, 1053, 728, 16830, 199, 32651, 1770, 7605, 899, 7719, 1516, 361, 11717, 1028, 49131, 767, 44440, 297, 1030, 378, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 1153, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 301, 7722, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 4233, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 427, 291, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 5016, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686, 15428, 1969, 199, 1835, 923, 823, 935, 9018, 27367, 431, 620, 386, 2518, 3120, 1704, 7543, 37349, 416, 2006, 554, 535, 504, 2380, 332, 199, 441, 527, 447, 3350, 1525, 454, 397, 374, 22428, 820, 293, 26371, 615, 583, 6565, 17494, 425, 274, 1917, 40952, 14239, 199, 18888, 28758, 1270, 1560, 1554, 486, 1217, 276, 199, 0, 199, 2506, 5001, 35, 2448, 279, 465, 7672, 26620, 1707, 353, 14247, 3789, 433, 2080, 3655, 393, 809, 11878, 289, 2187, 199, 31347, 6737, 10924, 1775, 9420, 1013, 1880, 7906, 6540, 19332, 523, 1754, 1678, 1065, 1498, 1056, 402, 21029, 199, 352, 22350, 2006, 3682, 291, 12252, 287, 1196, 421, 5016, 369, 12416, 390, 1602, 3954, 1461, 299, 591, 403, 372, 1649, 299, 199, 21345, 863, 586, 36613, 365, 13944, 30371, 992, 261, 2526, 2185, 41925, 585, 27833, 769, 451, 345, 2686 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 1547, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 280, 2004, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 280, 2004, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 39, 1633, 47469, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 37360, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 280, 2004, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3832, 508, 26321, 443, 858, 292, 979, 789, 11620, 20350, 199, 0, 199, 14737, 7374, 1210, 1106, 4307, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 2068, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 17658, 340, 1530, 476, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 904, 2880, 376, 1045, 261, 199, 0, 199, 14737, 7374, 1210, 1106, 4307, 31813, 697, 2092, 340, 512, 15486, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 789, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 904, 2880, 376, 1045, 261, 199, 0, 199, 14737, 7374, 1210, 1106, 6223, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 789, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 904, 2880, 376, 1045, 261, 199, 0, 199, 1809, 23579, 538, 563, 789, 3480, 31813, 584, 2092, 8535, 15486, 27644, 4379, 587, 603, 300, 1072, 2778, 199, 260, 1765, 16045, 630, 28073, 2275, 789, 8778, 358, 43831, 859, 4253, 1800, 517, 342, 2469, 754, 455, 873, 554, 199, 267, 3585, 258, 1196, 26610, 1932, 953, 8334, 264, 1095, 301, 5017, 6995, 357, 1454, 467, 340, 1530, 497, 8254, 410, 199, 361, 3807, 1889, 4220, 970, 609, 1289, 428, 2130, 580, 301, 32676, 24208, 46009, 472, 3631, 703, 11131, 776, 199, 11001, 35696, 843, 612, 3449, 17234, 3832, 3116, 406, 11846, 858, 292, 904, 282, 683, 363, 3596, 199, 0, 199, 14737, 7374, 1210, 1106, 4307, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 630, 28073, 2275, 2068, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 267, 3585, 1494, 470, 369, 36896, 953, 8334, 264, 1095, 301, 5017, 635, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 3807, 1889, 4220, 970, 609, 1289, 428, 2130, 580, 301, 32676, 24208, 46009, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 35861, 3273, 595, 685, 4161, 199, 0, 199, 1261, 259, 766, 359, 7364, 1343, 692, 39848, 2624, 1143, 725, 274, 1075, 292, 6828, 789, 10074, 1618, 8015, 199, 1752, 339, 9154, 1434, 364, 859, 3100, 5951, 16279, 1343, 33405, 9356, 760, 16566, 357, 3002, 348, 1718, 11474, 199, 1741, 10819, 759, 18048, 5417, 199, 0, 199, 2260, 36248, 420, 6554, 442, 325, 5109, 4476, 584, 691, 663, 34647, 339, 1641, 17536, 1123, 486, 909, 2151, 199, 2857, 349, 993, 13657, 378, 19726, 7970, 906, 295, 764, 52, 3117, 355, 3990, 264, 1264, 346, 1176, 474, 325, 388, 1108, 199, 4018, 301, 5120, 21769, 273, 2868, 2556, 317, 917, 391, 459, 401, 47764, 2771, 380, 1085, 458, 403, 372, 1649, 825, 329, 199, 336, 3718, 556, 406, 8160, 382, 447, 689, 2752, 509, 425, 387, 8025, 360, 9472, 823, 372, 1360, 26388, 6366, 2308, 199, 37, 823, 328, 776, 2539, 396, 4242, 4726, 1897, 258, 935, 3679, 40497, 2133, 290, 594, 413, 543, 3247, 2537, 48, 881, 199, 447, 2584, 1906, 13371, 35120, 301, 18914, 514, 18174, 822, 451, 1053, 483, 5566, 355, 1025, 10021, 577, 278, 1336, 33, 199, 2246, 441, 7363, 316, 1802, 4095, 3468, 199, 0, 199, 14737, 7374, 1210, 1106, 3941, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 789, 3299, 7877, 318, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 17658, 340, 1530, 497, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 979, 2880, 376, 1045, 261, 199, 0, 199, 14737, 7374, 1210, 1106, 4307, 31813, 697, 2092, 1072, 1325, 272, 27848, 14052, 587, 603, 338, 1072, 27898, 199, 270, 484, 786, 394, 360, 28073, 2275, 789, 3299, 7877, 463, 859, 16841, 16325, 5888, 2469, 754, 455, 873, 554, 199, 263, 3585, 258, 1196, 26610, 1355, 953, 1691, 637, 1381, 301, 5017, 750, 15558, 1098, 401, 15644, 497, 8254, 410, 199, 361, 1010, 490, 360, 4220, 1188, 18442, 504, 8261, 580, 301, 995, 323, 24208, 619, 387, 472, 1381, 2461, 461, 25984, 199, 11001, 35696, 843, 612, 4340, 17234, 5291, 3116, 6304, 32065, 292, 904, 2880, 376, 1045, 261, 199, 0, 199, 445, 17103, 1288, 389, 11031, 625, 289, 668, 5256, 360, 20055, 34378, 298, 1134, 16926, 10832, 1883, 330, 514, 15582, 199, 37, 4680, 5697, 7954, 286, 2257, 726, 9855, 1079, 315, 5609, 321, 7292, 624, 13936, 1283, 11944, 48305, 716, 3128, 199, 1054, 362, 587, 321, 1179, 908, 49029, 44666, 7585, 500, 393, 468, 18668, 1299, 338, 1016, 690, 408, 14936, 20178, 55, 199, 10581, 466, 360, 436, 29420, 2928, 5094, 611, 1082, 274, 1063, 312, 433, 362, 2353, 627, 1012, 3812, 891, 817, 16202, 199, 18321, 1838, 15818, 8681, 1081, 370, 11695, 19322, 818, 1375, 4809, 591 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6198, 22269, 2868, 1733, 7177, 469, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 10676, 13220, 382, 368, 2013, 331, 1568, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 1752, 561, 271, 2037, 296, 1486, 10554, 199, 349, 20770, 33239, 48459, 1185, 475, 18868, 1805, 263, 1517, 727, 1199, 416, 595, 14263, 535, 543, 547, 9586, 712, 16563, 199, 357, 3339, 417, 3006, 31970, 12126, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 28288, 424, 17916, 199, 1630, 441, 35861, 3273, 35341, 735, 49, 199, 0, 199, 42963, 532, 436, 6561, 42977, 2543, 4138, 373, 4169, 316, 1016, 1082, 750, 11665, 559, 4044, 1277, 766, 405, 2356, 199, 23183, 630, 21839, 9602, 395, 486, 479, 5650, 345, 750, 38712, 372, 433, 3063, 372, 1594, 444, 336, 785, 468, 3397, 199, 437, 5811, 22057, 691, 4548, 331, 747, 514, 3183, 592, 564, 375, 602, 11240, 467, 4843, 4816, 28470, 11202, 331, 45, 199, 833, 1106, 267, 9461, 701, 2494, 21670, 5510, 4775, 281, 8322, 792, 334, 49808, 9965, 281, 982, 728, 1116, 199, 22096, 1876, 1231, 1398, 7719, 399, 1076, 515, 291, 1513, 36158, 754, 299, 503, 328, 1030, 199, 0, 199, 445, 1482, 326, 1516, 550, 375, 11348, 38159, 43003, 6346, 44438, 376, 462, 4400, 48060, 1515, 1712, 1459, 299, 998, 199, 463, 440, 267, 787, 19280, 484, 579, 1937, 4189, 605, 278, 2480, 572, 1084, 57, 2760, 24625, 5046, 576, 903, 921, 199, 358, 392, 447, 14154, 12882, 16201, 340, 1264, 13272, 1939, 14587, 506, 400, 13195, 1658, 199, 0, 199, 574, 13267, 736, 1385, 1328, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 30711, 23575, 518, 199, 45205, 1139, 20440, 22421, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2951, 313, 6076, 291, 22269, 2868, 1984, 16867, 478, 1840, 394, 3020, 3980, 778, 607, 2967, 2200, 265, 825, 15140, 199, 10676, 13220, 382, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 1610, 1980, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 280, 3853, 342, 34421, 14162, 764, 49360, 259, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 386, 9297, 2436, 25370, 4161, 199, 0, 199, 445, 402, 439, 660, 274, 503, 5066, 604, 362, 1761, 28571, 318, 2772, 348, 7464, 289, 5369, 1120, 404, 969, 4640, 2366, 276, 199, 1078, 349, 827, 479, 24426, 1974, 16037, 1590, 827, 825, 448, 1924, 36, 1007, 381, 610, 14595, 334, 439, 2569, 353, 12931, 199, 28455, 729, 1402, 380, 862, 13897, 3482, 526, 6607, 1138, 329, 1346, 299, 33884, 499, 388, 17243, 1208, 41649, 7866, 199, 4271, 373, 1187, 4437, 444, 26157, 316, 606, 442, 1050, 324, 2633, 329, 1053, 55, 2095, 40244, 33108, 284, 2379, 406, 5507, 199, 8411, 1121, 385, 34609, 27734, 8554, 257, 14694, 956, 1720, 199, 0, 199, 2017, 4045, 4768, 324, 15635, 26609, 552, 5952, 709, 477, 11970, 529, 1632, 290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 969, 1138, 295, 4903, 413, 1251, 613, 466, 319, 16045, 279, 199, 21839, 764, 48558, 14425, 419, 6177, 1667, 6152, 740, 404, 931, 2771, 2072, 3646, 40272, 7290, 2146, 6057, 199, 22057, 691, 287, 6315, 747, 514, 8155, 6203, 299, 23734, 1098, 12914, 9072, 285, 1254, 1934, 3807, 2334, 342, 199, 267, 1433, 385, 452, 586, 1810, 21900, 376, 995, 398, 491, 1042, 263, 2021, 730, 323, 6479, 281, 996, 5688, 1308, 8468, 360, 199, 612, 353, 493, 15967, 19455, 29576, 5821, 1156, 5472, 1083, 5851, 685, 566, 1132, 199, 0, 199, 6463, 796, 699, 569, 437, 1002, 1520, 5398, 449, 3901, 383, 969, 1138, 295, 4903, 413, 1251, 613, 466, 319, 16045, 279, 199, 21839, 764, 48558, 14425, 419, 6177, 1667, 6152, 740, 404, 931, 2771, 2072, 3646, 40272, 7290, 2146, 6057, 199, 22057, 691, 287, 1044, 13555, 514, 8155, 6203, 299, 23734, 1098, 12914, 7103, 285, 1254, 1934, 3807, 2334, 342, 199, 267, 1433, 385, 452, 586, 1810, 21900, 376, 995, 398, 491, 1042, 263, 2021, 730, 323, 6479, 281, 996, 5688, 1308, 8468, 360, 199, 612, 353, 493, 15967, 19455, 29576, 5821, 1156, 5472, 1083, 5851, 685, 566, 1132, 199, 0, 199, 6463, 796, 699, 569, 437, 1002, 1520, 5398, 449, 3901, 383, 969, 1138, 295, 4903, 413, 1251, 613, 466, 319, 16045, 279, 199, 21839, 764, 48558, 14425, 419, 6177, 1667, 6152, 740, 404, 931, 2771, 2072, 3646, 40272, 7290, 2146, 6057, 199, 22057, 691, 287, 6315, 747, 514, 8155, 6203, 299, 23734, 1098, 12914, 7103, 285, 1254, 1934, 3807, 2334, 342, 199, 267, 1286, 385, 452, 586, 1810, 21900, 376, 995, 398, 491, 1042, 263, 2021, 730, 323, 6479, 281, 996, 5688, 1308, 8468, 360, 199, 612, 353, 493, 15967, 19455, 29576, 5821, 1156, 5472, 1083, 5851, 685, 566, 1132, 199, 0, 199, 6463, 796, 699, 569, 437, 1002, 1520, 5398, 449, 3901, 383, 969, 1138, 295, 4903, 413, 1251, 613, 466, 319, 16045, 279, 199, 21839, 764, 48558, 14425, 419, 6177, 1667, 6152, 740, 404, 931, 2771, 2072, 3646, 40272, 7290, 2146, 6057, 199, 22057, 691, 287, 6315, 747, 514, 8155, 6203, 299, 23734, 1098, 12914, 7103, 285, 1254, 1934, 3807, 2334, 342, 199, 267, 1433, 385, 452, 586, 1810, 21900, 376, 995, 398, 491, 1042, 263, 2021, 730, 323, 6479, 281, 996, 273, 2105, 556, 12073, 199, 612, 353, 493, 15967, 19455, 29576, 5821, 1156, 5472, 1083, 5851, 685, 566, 1132, 199, 0, 199, 6463, 796, 699, 569, 437, 1002, 1520, 5398, 449, 3901, 383, 969, 1138, 295, 4903, 413, 1251, 613, 466, 319, 16045, 279, 199, 21839, 764, 48558, 14425, 419, 6177, 1667, 4575, 1007, 404, 931, 2771, 2072, 3646, 40272, 7290, 2146, 6057, 199, 22057, 691, 287, 6315, 747, 514, 8155, 6203, 299, 23734, 1098, 12914, 7103, 285, 1254, 1934, 3807, 2334, 342, 199, 267, 1433, 385, 452, 586, 1810, 21900, 376, 995, 398, 491, 1042, 263, 2021, 730, 323, 6479, 281, 996, 5688, 1308, 8468, 360, 199, 612, 353, 493, 15967, 19455, 29576, 5821, 1156, 5472, 1083, 5851, 685, 566, 1132, 199, 0, 199, 6463, 796, 699, 569, 437, 1002, 1520, 5398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1136, 421, 1123, 1258, 414, 327, 1274, 24428, 2910, 279, 49121, 21423, 1543, 199, 3425, 23761, 1670, 1746, 734, 23500, 333, 658, 527, 344, 906, 295, 1521, 5495, 1554, 314, 1076, 272, 4363, 2030, 199, 1226, 2456, 323, 22350, 1478, 257, 936, 425, 913, 2868, 2556, 317, 722, 20467, 39457, 404, 33455, 5140, 1314, 591, 199, 464, 6441, 2247, 4320, 5636, 450, 527, 2594, 1659, 48, 769, 13519, 2721, 1619, 409, 2471, 57, 2163, 41800, 18643, 199, 8680, 279, 7051, 823, 316, 10853, 713, 9102, 330, 11394, 669, 318, 1689, 679, 291, 1439, 3286, 8278, 362, 543, 55, 199, 37, 2761, 441, 7934, 1632, 5193, 672, 339, 1995, 406, 355, 8114, 447, 13807, 19503, 1053, 13647, 1473, 28637, 10021, 199, 1181, 424, 18561, 32763, 50225, 3273, 706, 685, 283, 551, 1301, 46, 199, 0, 199, 2649, 920, 3765, 1253, 1599, 330, 1371, 423, 5179, 653, 417, 2332, 474, 313, 2490, 286, 834, 4568, 3292, 274, 1225, 52, 199, 44183, 1925, 350, 3403, 348, 423, 6571, 2628, 285, 2980, 943, 271, 3351, 496, 414, 551, 5757, 859, 268, 1110, 24517, 3291, 199, 491, 2895, 46483, 684, 317, 779, 497, 12749, 720, 734, 354, 1883, 1992, 29892, 931, 3312, 364, 766, 855, 628, 935, 199, 44, 7071, 743, 57, 1157, 330, 844, 712, 367, 3276, 289, 2599, 370, 536, 7190, 1798, 869, 3321, 455, 15655, 586, 2369, 199, 1219, 11964, 199, 0, 199, 1339, 463, 13577, 1290, 367, 601, 463, 1181, 11313, 13332, 47994, 1972, 390, 7136, 4290, 2054, 14511, 7934, 16824, 199, 1508, 22927, 272, 1445, 262, 31528, 1837, 2051, 638, 321, 842, 38189, 3763, 7896, 345, 3360, 1606, 267, 1369, 1087, 33, 199, 922, 549, 10385, 300, 1477, 1132, 396, 1288, 529, 2439, 300, 2178, 344, 489, 4172, 2904, 44808, 655, 4816, 377, 644, 50, 199, 44, 1051, 1928, 10346, 1916, 6530, 784, 399, 7037, 565, 472, 31021, 11532, 1285, 2434, 1440, 4060, 1114, 1170, 455, 199, 14837, 594, 370, 351, 493, 9573, 962, 46, 199, 0, 199, 574, 25157, 736, 1385, 927, 16730, 2568, 17427, 861, 1249, 401, 9533, 2062, 1063, 296, 1123, 4488, 1158, 374, 518, 199, 45205, 1139, 1185, 2922, 301, 20909, 1264, 438, 9048, 1903, 260, 1069, 3169, 428, 22723, 29915, 402, 712, 5219, 383, 199, 2455, 313, 6076, 291, 22269, 2868, 1984, 16867, 478, 2347, 394, 3020, 3980, 23122, 296, 2967, 2200, 265, 825, 15140, 199, 15494, 455, 28392, 1390, 360, 1314, 260, 1233, 21665, 590, 4090, 1610, 2238, 57, 2163, 40199, 28239, 8730, 1408, 10554, 199, 349, 10648, 46340, 280, 3853, 34010, 503, 1180, 764, 49360, 262, 1199, 416, 595, 32089, 535, 543, 547, 339, 761, 279, 1706, 199, 31473, 1096, 335, 7974, 23729, 679, 342, 5218, 271, 1119, 6585, 1053, 483, 5566, 542, 1025, 893, 16161, 424, 17916, 199, 1630, 441, 35861, 3273, 595, 685, 4161, 199, 0, 199, 1416, 976, 462, 628, 40098, 3501, 17133, 273, 1501, 1328, 301, 625, 966, 20383, 1213, 3119, 2926, 5476, 21667, 2947, 199, 22744, 518, 290, 2749, 313, 525, 948, 8962, 1577, 720, 947, 5949, 2874, 1376, 587, 960, 21280, 442, 371, 22151, 199, 14248, 2389, 580, 341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1528, 7144, 486, 933, 341, 1496, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 468, 881, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 455, 26384, 674, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 21713, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 492, 26303, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 380, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721, 688, 26530, 2095, 2665, 7078, 484, 199, 530, 34172, 1637, 1528, 7144, 486, 933, 341, 1040, 589, 350, 20116, 352, 5484, 2771, 14267, 320, 1076, 3452, 275, 199, 1508, 1747, 2447, 452, 4053, 442, 647, 1646, 472, 1312, 2021, 1111, 331, 1454, 467, 2485, 8283, 278, 1254, 1280, 327, 199, 426, 867, 13794, 896, 6554, 259, 923, 18099, 1297, 32676, 497, 7105, 524, 12750, 4480, 2500, 461, 1053, 2749, 295, 199, 581, 39572, 271, 485, 1345, 1571, 840, 271, 2392, 325, 32344, 16241, 28548, 2460, 562, 543, 873, 49, 199, 0, 199, 1147, 17975, 4258, 1695, 2806, 7734, 4644, 1267, 658, 507, 3621, 23721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 837, 346, 1594, 416, 712, 10831, 383, 199, 2951, 45626, 6198, 22269, 2868, 1733, 7177, 452, 2707, 394, 3020, 3980, 19445, 7917, 269, 2200, 282, 825, 15140, 199, 15494, 13220, 432, 368, 2013, 44700, 998, 1055, 546, 3342, 333, 6789, 15327, 2163, 19660, 790, 1260, 296, 1486, 15080, 199, 349, 20770, 362, 594, 330, 6667, 330, 11402, 11541, 503, 1517, 727, 1199, 416, 595, 43128, 535, 543, 547, 9586, 712, 10646, 199, 15884, 1886, 335, 7974, 27117, 702, 31373, 1241, 13610, 6585, 1053, 483, 5566, 542, 1025, 1203, 23771, 424, 17916, 199, 1647, 441, 35861, 3273, 629, 685, 1196, 199, 0, 199, 432, 5672, 328, 6211, 381, 10018, 508, 322, 339, 761, 13318, 532, 18564, 1585, 414, 477, 329, 1452, 18362, 257, 2033, 499, 199, 322, 7919, 36710, 1656, 411, 420, 12702, 7900, 506, 574, 402, 745, 365, 433, 2610, 27652, 407, 2108, 259, 681, 18362, 199, 299, 2576, 767, 1917, 5530, 411, 5979, 1390, 610, 1528, 12423, 625, 563, 503, 1161, 271, 2595, 518, 398, 1700, 4503, 199, 1625, 287, 1532, 1476, 330, 1699, 39313, 2929, 42803, 1722, 343, 439, 609, 346, 16628, 34297, 16236, 1982, 4751, 1843, 199, 319, 22690, 2299, 22529, 1792, 1334, 337, 5256, 501, 391, 986, 395, 902, 715, 333, 1406, 332, 2450, 1195, 1498, 5368, 46, 199, 1206, 589, 17416, 11259, 381, 2255, 34659, 3047, 453, 467, 333, 1353, 1656, 49370, 396, 39802, 568, 1709, 633, 48709, 199, 358, 1083, 45, 1323, 7724, 2216, 906, 3311, 425, 2490, 2041, 373, 38601, 1579, 549, 1785, 4323, 604, 3318, 407, 2237, 2425, 199, 48833, 1539, 275, 502, 536, 357, 1868, 402, 49738, 57, 1042, 1798, 556, 360, 10387, 30655, 3163, 24236, 2198, 333, 526, 199, 485, 40646, 439, 5310, 445, 385, 384, 341, 717, 11387, 372, 3776, 9283, 545, 6329, 13358, 1466, 801, 18607, 773, 47186, 199, 49, 199, 0, 199, 1566, 1681, 483, 368, 1751, 280, 1254, 275, 711, 261, 828, 11043, 8003, 294, 722, 315, 1057, 24361, 1620, 9694, 2615, 199, 346, 688, 974, 315, 616, 414, 23256, 390, 3831, 631, 3948, 978, 29198, 435, 529, 4160, 1009, 297, 460, 1902, 6831, 199, 299, 745, 2890, 14292, 692, 11630, 336, 1986, 301, 1866, 10183, 2957, 28472, 1929, 1732, 335, 1628, 348, 927, 379, 640, 199, 1628, 26310, 549, 199, 0, 199, 3222, 768, 35, 787, 39203, 5994, 1419, 15659, 492, 5417, 1482, 6546, 1070, 1372, 1483, 551, 884, 37891, 786, 199, 394, 630, 16724, 9602, 395, 486, 13682, 4182, 1408, 38712, 33304, 3827, 2288, 14150, 336, 663, 23349, 2170, 33, 199, 5811, 1853, 30555, 4548, 291, 637, 21157, 12214, 403, 15396, 11240, 467, 4991, 4285, 3515, 594, 361, 3807, 33, 199, 656, 2911, 9461, 1320, 1207, 933, 46920, 778, 14310, 6910, 9739, 486, 1085, 9965, 281, 1053, 728, 319, 652, 199, 424, 1770, 1231, 899, 7719, 1516, 361, 11717, 1028, 404, 474, 767, 44440, 297, 1030, 378, 199, 0, 199, 1100, 1128, 588, 456, 324, 727, 343, 840, 4463, 1732, 2836, 385, 6512, 6427, 2262, 12133, 1878, 314, 1672, 257, 1557, 38, 199, 290, 6868, 260, 1041, 279, 2779, 5247, 2136, 1608, 1155, 320, 684, 2210 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 381, 629, 484, 17448, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 12608, 316, 199, 37, 502, 8188, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 1064, 259, 1224, 300, 1721, 268, 528, 3735, 199, 5000, 320, 962, 11064, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 11433, 299, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 360, 26830, 199, 37, 502, 8188, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 1064, 259, 1224, 300, 1721, 268, 528, 3735, 199, 5000, 320, 962, 749, 29097, 15617, 41252, 2963, 52, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 360, 26830, 199, 37, 502, 8188, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 1521, 259, 1224, 300, 1721, 268, 528, 3735, 199, 5000, 320, 962, 749, 1226, 424, 199, 0, 199, 1100, 874, 796, 6293, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 14655, 33, 199, 44, 22276, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 4948, 526, 199, 32374, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 38250, 737, 39485, 199, 352, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 1064, 259, 1224, 300, 1721, 268, 528, 3735, 685, 402, 199, 44, 962, 749, 316, 1781, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433, 704, 22002, 360, 26830, 199, 37, 502, 8188, 15942, 6728, 1053, 24130, 2063, 435, 811, 36191, 1234, 2478, 357, 1057, 1224, 300, 1721, 268, 528, 3735, 199, 5000, 320, 962, 749, 316, 1781, 199, 0, 199, 1100, 874, 796, 6293, 1039, 398, 766, 359, 710, 43777, 969, 390, 354, 1818, 357, 2477, 17853, 1889, 488, 332, 1381, 390, 199, 14655, 2849, 667, 5280, 357, 803, 381, 15006, 870, 434, 4309, 3438, 594, 4007, 278, 1877, 983, 10262, 744, 1138, 199, 49640, 39101, 953, 2746, 1400, 313, 1232, 390, 28944, 263, 1065, 13788, 278, 3590, 690, 433 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 1287, 18694, 446, 13087, 400, 199, 21369, 7256, 930, 12733, 1321, 1965, 723, 4111, 273, 11541, 517, 275, 712, 20730, 2083, 455, 2121, 3294, 1088, 40, 199, 2764, 654, 15442, 1557, 274, 2151, 37779, 658, 199, 0, 199, 339, 961, 2953, 1190, 927, 533, 3947, 279, 977, 2818, 428, 441, 20843, 5327, 25360, 3811, 631, 2700, 553, 6903, 199, 501, 7210, 2225, 1105, 1294, 18860, 442, 7944, 2163, 285, 497, 1840, 3290, 383, 18399, 6600, 715, 458, 496, 346, 436, 199, 12374, 2828, 487, 752, 1520, 16893, 2674, 665, 34162, 458, 669, 3537, 1228, 271, 1287, 18694, 446, 13087, 400, 199, 21369, 7256, 930, 4084, 1321, 2383, 1410, 479, 11086, 11541, 517, 275, 712, 327, 20992, 341, 566, 14320, 1539, 1902, 199, 2764, 654, 10491, 331, 1222, 2151, 31602, 658, 199, 0, 199, 339, 961, 2953, 380, 468, 19722, 3426, 21816, 17347, 784, 441, 47882, 5327, 25360, 3811, 631, 2700, 553, 6903, 199, 501, 7210, 2225, 1105, 1294, 18860, 442, 7944, 2163, 285, 497, 1840, 3290, 383, 18399, 6600, 715, 458, 496, 346, 436, 199, 12374, 2828, 487, 752, 1520, 16893, 2674, 616, 358, 343, 458, 669, 3537, 1228, 271, 1287, 18694, 446, 13087, 400, 199, 21369, 7256, 930, 12733, 1321, 1965, 1565, 479, 11086, 11541, 517, 275, 712, 20730, 2083, 455, 2121, 3294, 1088, 40, 199, 2764, 654, 15442, 1557, 274, 2151, 37779, 658, 199, 0, 199, 339, 961, 2953, 380, 468, 19722, 3426, 21816, 17347, 784, 441, 47882, 5327, 25360, 3811, 631, 2700, 553, 6903, 199, 501, 7210, 2225, 1105, 1294, 18860, 442, 7944, 2163, 285, 497, 1840, 3290, 383, 18399, 6600, 715, 458, 496, 346, 436, 199, 12374, 2828, 487, 752, 1520, 16893, 2674, 616, 34162, 458, 669, 3537, 1228, 271, 1287, 18694, 446, 13087, 400, 199, 21369, 7256, 930, 5212, 1321, 1965, 1565, 479, 11086, 11541, 517, 275, 712, 20730, 2083, 351, 2121, 3294, 1088, 40, 199, 2764, 654, 15442, 1557, 274, 2151, 37779, 658, 199, 0, 199, 3804, 5933, 257, 1190, 927, 533, 3947, 279, 977, 2818, 428, 441, 20843, 5327, 25360, 3811, 631, 2700, 553, 6903, 199, 501, 7210, 2225, 1105, 1294, 18860, 442, 7944, 2163, 285, 497, 1840, 3290, 383, 18399, 6600, 715, 458, 496, 346, 436, 199, 12374, 2828, 487, 752, 1520, 16893, 2674, 665, 34162, 458, 669, 3537, 1228, 271, 1287, 18694, 446, 13087, 400, 199, 21369, 7256, 930, 4084, 1321, 2383, 1410, 49729, 523, 718, 517, 275, 712, 327, 20992, 341, 566, 14320, 1539, 1902, 199, 2764, 654, 10491, 331, 1222, 2151, 31602, 702, 199, 0, 199, 339, 961, 2953, 380, 468, 19722, 3426, 21816, 17347, 784, 441, 47882, 5327, 25360, 3811, 631, 2700, 553, 6903, 199, 501, 7210, 2225, 1105, 1294, 18860, 442, 7944, 2163, 285, 497, 1840, 3290, 383, 18399, 6600, 715, 458, 496, 346, 436, 199, 12374, 2828, 487, 752, 1520, 16893, 2674, 616, 34162, 458, 669, 3537, 1228, 271, 1287, 3243, 381, 1883, 19924, 199, 21369, 7256, 930, 12733, 1321, 1965, 1565, 4111, 273, 11541, 517, 275, 712, 20730, 2083, 455, 2121, 3294, 1088, 40, 199, 2764, 654, 15442, 1557, 274, 2151, 37779, 658, 199, 0, 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 ]
[ 355, 14476, 1590, 4437, 353, 1180, 1946, 656, 354, 757, 1173, 1859, 1754, 43328, 573, 297, 513, 33108, 284, 2461, 406, 1238, 199, 8411, 4239, 641, 724, 5919, 9682, 1556, 8808, 750, 270, 199, 0, 199, 432, 394, 2039, 1392, 18927, 630, 3338, 393, 978, 15422, 8465, 296, 1175, 11429, 23531, 642, 3518, 642, 9396, 199, 45326, 778, 498, 8800, 1138, 292, 1118, 948, 11710, 18545, 19491, 11043, 2411, 288, 818, 14108, 327, 511, 13645, 199, 290, 1981, 1180, 769, 32133, 973, 1367, 15083, 260, 1311, 845, 5443, 430, 7895, 662, 741, 260, 1452, 843, 375, 1304, 199, 1171, 442, 42949, 1179, 319, 1402, 332, 976, 5086, 2023, 354, 626, 269, 8447, 31340, 12833, 343, 2844, 20330, 426, 54, 199, 270, 3667, 263, 1010, 457, 435, 44960, 1039, 271, 5984, 278, 744, 1529, 410, 2362, 394, 10507, 43550, 283, 6977, 42886, 199, 39, 781, 426, 25440, 552, 545, 830, 2309, 577, 7921, 1530, 2473, 8589, 953, 1767, 1002, 503, 27434, 270, 569, 21238, 199, 6393, 2141, 4421, 264, 955, 496, 3021, 639, 4162, 1210, 2203, 25968, 474, 802, 262, 644, 49, 199, 0, 199, 2017, 11226, 23971, 12624, 412, 1447, 1758, 369, 3673, 1080, 983, 872, 1450, 299, 742, 1823, 364, 19590, 1358, 46, 199, 450, 3139, 2594, 46683, 519, 18854, 358, 17388, 815, 344, 16155, 1487, 398, 689, 357, 2771, 4842, 37512, 850, 412, 199, 492, 22227, 1002, 405, 452, 299, 4179, 2895, 747, 1301, 362, 1250, 1827, 532, 13097, 9133, 266, 585, 2738, 655, 413, 3020, 199, 2933, 20750, 491, 4776, 425, 13862, 8776, 958, 393, 465, 6346, 1591, 5612, 464, 5005, 1332, 352, 412, 1351, 1053, 52, 199, 13136, 324, 674, 36106, 10063, 941, 14129, 15356, 354, 10305, 293, 1141, 1007, 5381, 7931, 321, 7798, 320, 491, 199, 0, 199, 852, 4288, 5265, 538, 8356, 7324, 538, 1971, 1076, 19934, 23208, 996, 1202, 281, 2371, 1546, 27091, 4935, 199, 48881, 19860, 1248, 36284, 571, 601, 2522, 324, 7572, 31558, 2482, 274, 1383, 300, 440, 1248, 3033, 5922, 410, 199, 1133, 274, 836, 288, 1186, 406, 1445, 332, 614, 1502, 41171, 281, 968, 6207, 1450, 269, 1814, 6136, 283, 591, 6773, 284, 199, 39, 1676, 45254, 5543, 2836, 286, 595, 375, 456, 12595, 710, 20402, 6786, 486, 705, 292, 12356, 343, 1197, 662, 450, 361, 199, 10193, 284, 1322, 1006, 777, 503, 292, 2843, 280, 17123, 1463, 3838, 8537, 1292, 6366, 14449, 267, 6204, 14689, 199, 0, 199, 39852, 265, 686, 732, 12165, 327, 655, 15706, 2486, 15762, 260, 670, 49483, 2641, 1142, 280, 9465, 320, 1381, 390, 199, 1442, 1217, 24752, 4797, 1510, 48331, 610, 6823, 1889, 383, 4837, 268, 4609, 278, 1492, 1402, 24779, 10142, 791, 199, 326, 3276, 5217, 32762, 2647, 3676, 25508, 21006, 283, 1318, 271, 43456, 860, 263, 6768, 729, 9465, 1369, 1135, 199, 9407, 881, 8214, 46911, 35758, 1005, 11116, 464, 296, 2436, 2984, 2379, 7782, 380, 26561, 3261, 300, 1793, 7723, 199, 1420, 343, 1978, 385, 1206, 3439, 199, 0, 199, 2506, 1019, 648, 6425, 527, 5994, 2182, 513, 951, 22265, 1482, 6546, 1070, 1511, 1483, 551, 884, 2792, 36081, 199, 394, 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 ]
[ 22381, 373, 199, 0, 199, 6463, 1128, 3275, 411, 5516, 271, 530, 704, 268, 1080, 272, 680, 380, 33783, 1033, 751, 552, 34247, 1327, 633, 3177, 199, 36, 681, 300, 8717, 1140, 340, 5567, 710, 5964, 2633, 1108, 45122, 2265, 335, 913, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 452, 1890, 40050, 1903, 295, 1263, 328, 19708, 354, 1883, 48747, 398, 1222, 1923, 298, 4273, 855, 628, 1656, 199, 36, 543, 8921, 7149, 435, 4295, 5850, 382, 1330, 8483, 4717, 2229, 1111, 3321, 351, 590, 38003, 801, 1793, 276, 199, 6548, 1497, 199, 0, 199, 6463, 1128, 32725, 2894, 321, 2766, 704, 268, 1080, 272, 680, 380, 33783, 1033, 873, 473, 1051, 34430, 719, 7669, 199, 36, 681, 32090, 439, 1140, 6553, 301, 710, 5964, 2633, 323, 10445, 532, 14712, 785, 34255, 29805, 18678, 282, 3183, 199, 391, 4215, 324, 1890, 12089, 1005, 295, 3959, 316, 19708, 354, 1883, 48747, 398, 1222, 1923, 298, 4273, 855, 628, 1656, 199, 20473, 8304, 4856, 435, 7915, 4023, 382, 1731, 14700, 6603, 2229, 1111, 2707, 272, 590, 38003, 801, 1132, 276, 199, 1073, 7945, 199, 0, 199, 382, 729, 354, 11588, 2894, 924, 582, 783, 268, 1080, 272, 912, 380, 33783, 1033, 873, 473, 1134, 34430, 633, 16563, 199, 37, 681, 32090, 439, 1140, 6553, 301, 710, 5964, 2633, 323, 10445, 532, 14712, 785, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 315, 1890, 12089, 855, 342, 3959, 316, 19708, 354, 1883, 1902, 1579, 9775, 32554, 9453, 855, 628, 1800, 199, 20473, 8921, 7149, 435, 4295, 285, 3958, 1330, 8483, 6603, 2081, 836, 2707, 272, 7949, 271, 801, 1793, 276, 199, 318, 9196, 199, 0, 199, 382, 729, 354, 11588, 2894, 924, 582, 704, 268, 1080, 272, 912, 380, 33783, 1033, 873, 473, 1134, 34430, 633, 20678, 199, 37, 681, 32090, 439, 1140, 6553, 301, 710, 5964, 2633, 323, 10445, 532, 14712, 785, 34255, 367, 3972, 40834, 3183, 199, 364, 2590, 315, 1890, 13530, 1005, 342, 3959, 316, 19708, 354, 1883, 1902, 350, 6675, 1923, 5317, 766, 855, 628, 1800, 199, 20473, 10555, 18167, 435, 4295, 285, 3500, 1330, 8483, 6603, 2081, 869, 2707, 272, 7949, 271, 801, 1793, 276, 199, 318, 1398, 46, 199, 0, 199, 382, 729, 354, 11588, 2894, 924, 582, 704, 268, 1080, 272, 912, 380, 33783, 1033, 873, 473, 1134, 34430, 633, 20678, 199, 37, 681, 32090, 439, 1140, 6553, 301, 710, 5964, 2633, 323, 10445, 532, 14712, 785, 34255, 313, 3972, 40834, 3183, 199, 364, 2590, 315, 1890, 13530, 1005, 342, 3959, 316, 19708, 354, 1883, 1902, 350, 6675, 1923, 298, 9453, 855, 628, 1800, 199, 20473, 10555, 18167, 435, 4295, 285, 3500, 1330, 8483, 6603, 2081, 869, 2707, 272, 7949, 271, 801, 1793, 276, 199, 318, 1398, 46, 199, 0, 199, 445, 729, 9402, 563, 563, 437, 321, 2766, 704, 268, 1080, 272, 912, 380, 33783, 1033, 873, 473, 1134, 34430, 633, 7669, 199, 37, 681, 32090, 439, 1140, 6553, 301, 710, 5964, 2633, 323, 10445, 532, 14712, 785, 34255, 29805, 18678, 282, 3183, 199, 364, 2590, 315, 1890, 12089, 5980, 542, 388, 342, 19708, 354, 1883 ]