Datasets:

sanagnos

/

processed_gpt_dataset_big

like 0

[ 115, 15166, 22177, 16142, 38197, 295, 2039, 15140, 318, 257, 11847, 2647, 34549, 422, 23356, 11, 1912, 287, 23670, 12423, 13, 632, 373, 9393, 287, 15408, 416, 26777, 314, 1192, 84, 30933, 270, 411, 27399, 290, 29786, 287, 262, 2854, 286, 11811, 15993, 2647, 11, 517, 1948, 340, 318, 262, 1388, 32972, 287, 23356, 286, 262, 13058, 1373, 7849, 5182, 13, 198, 38197, 295, 6157, 477, 625, 262, 995, 11, 290, 44119, 262, 1688, 2499, 286, 314, 1192, 84, 30933, 270, 411, 27399, 290, 17639, 12, 46827, 5184, 859, 198, 38197, 295, 2039, 15140, 338, 13289, 389, 8718, 12, 4443, 1373, 396, 11, 6121, 864, 290, 936, 516, 13849, 13, 198, 38197, 295, 2039, 15140, 6939, 867, 7025, 654, 329, 8829, 25156, 290, 257, 1256, 286, 406, 12016, 290, 37904, 12, 15642, 11, 3573, 262, 1987, 6458, 2168, 351, 30933, 270, 411, 27399, 290, 5184, 859, 338, 2647, 13, 198, 198, 41506, 6117, 198, 15934, 2443, 198, 317, 1729, 36049, 1351, 286, 18813, 198, 198, 4264, 33080, 15993, 2647, 551, 4428, 829, 198, 32454, 666, 10530, 2628, 198, 10694, 605, 2628, 4920, 287, 15408, 198, 49738, 1373, 2647, 198, 38108, 33228, 287, 23356, 19727, 14006, 7499, 318, 281, 8685, 6332, 1416, 1603, 329, 2260, 26661, 12448, 72, 10205, 1665, 346, 361, 41200, 43052, 557, 1236, 357, 14181, 38351, 737, 679, 318, 1775, 319, 11923, 38351, 338, 5197, 286, 2107, 15872, 11, 39652, 291, 1830, 11, 19639, 1881, 11, 2610, 1222, 2214, 35691, 290, 23049, 14714, 13, 679, 318, 262, 1459, 39597, 286, 15872, 2066, 290, 311, 5188, 317, 2265, 1173, 414, 4041, 705, 12583, 4458, 220, 198, 198, 49645, 318, 257, 6868, 286, 2688, 634, 11, 3418, 32987, 13, 198, 198, 1544, 318, 257, 2988, 13, 198, 198, 17784, 263, 198, 22442, 284, 10759, 9944, 319, 5701, 22978, 11, 14006, 373, 257, 2739, 12, 3847, 5243, 13004, 319, 362, 23264, 11, 290, 635, 10491, 5545, 262, 11923, 38351, 3195, 1220, 5243, 39698, 2701, 383, 12568, 3524, 13, 198, 198, 49645, 468, 5545, 290, 14, 273, 2912, 515, 329, 11923, 38351, 379, 477, 1688, 27459, 357, 46, 6760, 291, 5776, 11, 21285, 2159, 327, 8577, 11, 40858, 3427, 10749, 8, 1201, 6303, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 5613, 14006, 284, 1944, 8685, 7092, 7755, 286, 262, 6280, 11289, 2107, 319, 11923, 38351, 198, 5613, 14006, 10969, 21740, 379, 3454, 494, 574, 16487, 19709, 6289, 13449, 198, 198, 46477, 27244, 198, 36376, 661, 198, 38, 3010, 291, 1830, 25699, 198, 43293, 8112, 4346, 25699, 198, 47733, 669, 634, 2335, 7999, 198, 8061, 422, 2688, 634, 11, 3418, 32987, 198, 14181, 38351, 5581, 1944, 364, 198, 1238, 400, 12, 14792, 8685, 661, 198, 2481, 301, 12, 14792, 8685, 661, 33771, 263, 373, 262, 9766, 20987, 8034, 5062, 2716, 416, 14015, 12, 34050, 16002, 18008, 979, 30469, 13, 28728, 287, 9162, 11, 340, 7763, 1315, 8339, 11, 4632, 286, 2656, 2587, 13, 632, 373, 19332, 329, 220, 262, 42235, 11289, 329, 6705, 38698, 36111, 23999, 379, 262, 5214, 400, 16328, 42235, 15434, 13, 383, 5062, 550, 9284, 422, 5613, 13452, 11, 2940, 6102, 404, 69, 1754, 11, 33953, 75, 280, 10026, 11, 13633, 19574, 268, 7504, 1539, 7244, 32108, 11, 7244, 11164, 4224, 11, 383, 609, 49868, 1299, 290, 262, 40673, 12002, 13, 198, 198, 8642, 733, 342, 2630, 393, 763, 12, 42910, 477, 286, 262, 8339, 2845, 366, 14942, 7784, 16835, 526, 1375, 531, 326, 981, 881, 286, 607, 3597, 550, 587, 10165, 11, 262, 7259, 319, 428, 5062, 547, 517, 33136, 17046, 13, 366, 1212, 5062, 318, 286, 7259, 326, 1625, 20947, 422, 616, 1204, 351, 645, 16119, 393, 10165, 13, 1119, 389, 286, 7103, 6317, 290, 12141, 526, 198, 198, 3041, 4516, 198, 198, 33874, 329, 1439, 22648, 11, 262, 4014, 10447, 314, 88, 1516, 283, 2630, 286, 262, 5062, 11, 366, 7003, 673, 24215, 1010, 257, 1643, 618, 11236, 284, 9761, 4819, 5855, 7575, 286, 554, 1102, 574, 1240, 12340, 428, 318, 607, 749, 6414, 5062, 286, 2656, 7259, 287, 2048, 257, 5707, 526, 198, 198, 24802, 13487, 198, 3237, 8339, 13160, 416, 18008, 979, 30469, 2845, 810, 8203, 13, 198, 1, 464, 13575, 263, 1, 784, 604, 25, 1954, 220, 220, 220, 220, 198, 1, 24795, 338, 3905, 1, 784, 604, 25, 1485, 220, 220, 198, 1, 25515, 632, 25110, 470, 1406, 1, 220, 357, 8642, 733, 342, 11, 2113, 9620, 8442, 8, 784, 513, 25, 1507, 220, 198, 1, 14942, 7784, 16835, 1, 357, 16980, 494, 3561, 8, 784, 604, 25, 2624, 220, 198, 1, 4711, 12579, 554, 1052, 4946, 4897, 1, 784, 513, 25, 2091, 220, 220, 198, 1, 7575, 3226, 554, 1102, 574, 1240, 1, 784, 513, 25, 2780, 198, 1, 3987, 470, 29624, 7994, 2185, 1, 220, 357, 8642, 733, 342, 11, 3700, 18531, 263, 8, 784, 513, 25, 405, 220, 220, 198, 1, 30374, 2561, 1, 784, 362, 25, 3682, 220, 198, 1, 27404, 5157, 1675, 7859, 1, 220, 357, 8642, 733, 342, 11, 7244, 11164, 4224, 11, 8403, 1012, 1878, 2815, 8, 784, 604, 25, 1314, 220, 220, 198, 1, 25685, 1675, 2185, 2893, 314, 1101, 7343, 3101, 1, 784, 604, 25, 1065, 198, 1, 42974, 576, 1, 784, 513, 25, 2075, 198, 1, 2202, 402, 1617, 261, 3530, 1, 220, 357, 8642, 733, 342, 11, 8559, 509, 49252, 8, 784, 513, 25, 3365, 220, 220, 198, 1, 40028, 921, 10664, 887, 2185, 1, 784, 513, 25, 2919, 198, 1, 10248, 3847, 284, 10584, 338, 7610, 1, 784, 604, 25, 3070, 198, 1, 1212, 8894, 1, 784, 513, 25, 2075, 198, 198, 15439, 4954, 220, 628, 18008, 979, 30469, 532, 25355, 11, 10047, 198, 978, 9918, 784, 26071, 10047, 11, 5186, 10047, 198, 3271, 49759, 297, 784, 38283, 198, 19478, 4696, 364, 784, 24730, 198, 20893, 7459, 784, 3971, 79, 198, 12323, 347, 1361, 784, 12702, 25625, 3970, 11, 24730, 11, 3075, 2022, 874, 198, 44972, 27209, 784, 26071, 10047, 11, 5186, 10047, 198, 12382, 33059, 784, 38283, 198, 1757, 25750, 654, 784, 2685, 78, 198, 5278, 4302, 784, 26071, 10047, 11, 5186, 10047, 198, 7244, 32108, 784, 12702, 10047, 11, 12702, 42563, 198, 46227, 25157, 784, 25355, 11, 5186, 10047, 11, 12285 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1659, 644, 340, 481, 1612, 764, 754, 332, 290, 1683, 764, 4360, 262, 24613, 318, 45061, 837, 1165, 837, 290, 339, 3386, 2241, 625, 262, 11387, 837, 26547, 510, 262, 8977, 757, 764, 14363, 4097, 1095, 389, 645, 2392, 1997, 13885, 2330, 837, 290, 465, 4168, 318, 1937, 4335, 351, 3223, 43329, 764, 258, 6665, 9211, 2641, 837, 12225, 655, 878, 262, 4220, 286, 262, 16046, 764, 258, 8404, 262, 1657, 5078, 612, 837, 475, 340, 45971, 319, 290, 572, 966, 8613, 837, 645, 7588, 2406, 319, 6609, 764, 258, 4962, 422, 262, 16046, 837, 407, 4684, 284, 14802, 262, 11854, 286, 606, 655, 1865, 837, 407, 772, 1107, 10291, 284, 804, 379, 606, 837, 655, 11228, 465, 11917, 878, 8218, 262, 2877, 2119, 764, 258, 2753, 257, 2769, 837, 5894, 8033, 837, 48308, 757, 379, 262, 8977, 764, 392, 4831, 832, 262, 32439, 764, 21, 340, 318, 355, 339, 1364, 340, 764, 1416, 10228, 24823, 286, 19606, 389, 262, 691, 40951, 837, 1201, 262, 1657, 18225, 466, 299, 470, 670, 287, 428, 2119, 2035, 764, 64, 2119, 5901, 837, 339, 783, 3938, 23660, 837, 351, 262, 13091, 286, 465, 9963, 764, 8117, 389, 262, 34568, 2266, 900, 660, 274, 837, 530, 1263, 837, 530, 1402, 837, 326, 465, 2988, 373, 299, 470, 1016, 284, 6330, 1566, 262, 6510, 1392, 1468, 1576, 407, 284, 2085, 606, 510, 7471, 764, 2617, 660, 274, 326, 1392, 1364, 2157, 287, 1786, 1044, 618, 484, 3888, 284, 45630, 64, 837, 1364, 2157, 287, 428, 2156, 764, 4360, 994, 318, 257, 6891, 3084, 326, 750, 299, 470, 651, 1364, 2157, 837, 257, 6891, 3084, 326, 815, 307, 4138, 290, 4138, 286, 4608, 422, 994, 764, 72, 466, 299, 470, 1833, 837, 339, 6834, 764, 72, 466, 299, 470, 1833, 764, 258, 7224, 257, 410, 589, 286, 465, 2802, 705, 82, 326, 925, 262, 5296, 764, 258, 7224, 281, 13400, 886, 3084, 326, 750, 299, 470, 764, 392, 612, 837, 2029, 262, 24818, 417, 12239, 532, 339, 5300, 262, 976, 29418, 287, 465, 12500, 3805, 6970, 644, 284, 1607, 764, 270, 705, 82, 262, 12036, 925, 416, 465, 7711, 837, 262, 12036, 326, 1625, 284, 45630, 64, 837, 1165, 837, 351, 617, 286, 428, 13091, 764, 270, 705, 82, 286, 257, 35064, 18754, 837, 31238, 9823, 276, 8223, 351, 3246, 287, 663, 2951, 290, 326, 12659, 20240, 329, 663, 11880, 764, 14363, 7711, 550, 3912, 276, 340, 706, 8301, 28372, 705, 82, 915, 1142, 3970, 837, 7346, 262, 8223, 351, 5445, 24091, 290, 5445, 837, 34221, 12, 448, 5920, 764, 2617, 71, 550, 890, 1201, 587, 1297, 546, 262, 1103, 915, 1142, 3970, 416, 465, 2988, 837, 890, 1201, 7247, 262, 1621, 2157, 340, 837, 475, 772, 996, 465, 7711, 705, 82, 2196, 373, 262, 6340, 395, 286, 14005, 545, 20597, 837, 340, 373, 262, 717, 12036, 900, 71, 550, 1683, 6105, 1775, 837, 262, 717, 1103, 12036, 465, 788, 12, 13261, 12, 1941, 12, 727, 2000, 550, 3088, 284, 3785, 503, 764, 1640, 326, 1738, 837, 340, 2376, 12657, 4025, 329, 683, 621, 597, 6833, 1683, 561, 764, 270, 318, 1223, 503, 286, 257, 17123, 837, 1223, 12361, 290, 46759, 837, 1223, 5906, 284, 6004, 284, 1738, 393, 1833, 17703, 764, 392, 340, 318, 257, 12036, 339, 938, 2497, 7415, 837, 611, 7415, 991, 1724, 1997, 764, 361, 640, 3804, 379, 477, 287, 5968, 764, 39664, 262, 3280, 837, 340, 373, 257, 12036, 339, 2497, 319, 465, 835, 503, 286, 465, 898, 2156, 319, 262, 584, 1735, 286, 262, 995, 837, 262, 938, 1517, 465, 2951, 550, 27846, 625, 355, 339, 4423, 465, 2166, 3420, 764, 14363, 4036, 2166, 3420, 764, 1662, 428, 764, 1662, 428, 17123, 2196, 503, 286, 257, 1613, 339, 705, 67, 4702, 407, 284, 3505, 764, 258, 16860, 262, 12036, 355, 890, 355, 339, 460, 6842, 837, 890, 1576, 284, 1949, 290, 1210, 340, 656, 655, 257, 12036, 837, 2147, 517, 621, 326, 837, 475, 339, 460, 1254, 465, 2612, 294, 33926, 355, 339, 3073, 1497, 422, 340, 837, 465, 2951, 14928, 257, 17423, 12, 3823, 3084, 339, 635, 21570, 837, 290, 262, 1492, 33964, 1336, 286, 3835, 837, 617, 286, 3025, 8714, 339, 705, 82, 1100, 287, 1194, 1499, 621, 428, 764, 258, 32299, 829, 355, 2952, 355, 465, 4939, 1767, 481, 3283, 683, 656, 262, 9592, 837, 5291, 465, 6066, 691, 319, 465, 24613, 764, 258, 6665, 3892, 284, 262, 14595, 837, 2048, 29923, 21255, 351, 14486, 8259, 764, 12518, 339, 4962, 319, 262, 34531, 290, 2147, 4325, 837, 339, 8781, 503, 281, 37099, 3960, 286, 20234, 764, 258, 8404, 606, 757, 764, 505, 24486, 299, 470, 1445, 379, 477, 837, 290, 262, 584, 655, 37621, 287, 465, 1021, 837, 9194, 2147, 837, 645, 2300, 703, 1690, 339, 30953, 340, 764, 258, 460, 1254, 257, 45705, 7396, 287, 683, 757, 837, 465, 2951, 9482, 379, 703, 36021, 262, 10953, 389, 287, 465, 28151, 4111, 1767, 764, 258, 5300, 523, 4939, 837, 523, 15014, 1329, 88, 326, 339, 468, 284, 10904, 2651, 290, 1234, 465, 22645, 1028, 262, 3753, 837, 4203, 663, 36972, 3608, 1108, 319, 465, 4772, 290, 7725, 339, 24486, 299, 470, 18107, 764, 1659, 1781, 428, 318, 644, 5968, 561, 307, 588, 837, 339, 6834, 764, 1659, 1781, 340, 318, 764, 1462, 1464, 307, 47124, 475, 423, 2147, 284, 4144, 764, 1659, 1781, 764, 270, 705, 82, 2192, 9837, 329, 262, 5156, 474, 274, 385, 1517, 764, 2144, 3970, 550, 772, 531, 523, 764, 258, 5300, 257, 374, 518, 913, 781, 10381, 287, 465, 11384, 837, 24865, 326, 1755, 757, 837, 24865, 465, 2460, 837, 703, 18397, 290, 2562, 2279, 3221, 373, 837, 703, 484, 8288, 326, 339, 373, 262, 5897, 530, 837, 703, 340, 550, 299, 470, 33343, 326, 262, 5400, 287, 46932, 290, 45630, 272, 20583, 4001, 326, 339, 373, 3016, 257, 614, 7099, 621, 606, 477, 3805, 852, 287, 262, 976, 9559, 837, 703, 484, 532, 475, 2592, 308, 463, 20125, 532, 3017, 683, 287, 2279, 355, 691, 2460, 714, 764, 10197, 262, 12402, 286, 257, 26462, 764, 9930, 705, 67, 9909, 340, 837, 2048, 10195, 2759, 3538, 837, 511, 336, 47157, 20263, 262, 691, 1103, 2372, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 11276, 198, 3977, 371, 13, 8498, 83, 353, 11, 1772, 290, 18026, 220, 198, 40679, 1754, 40782, 11, 6802, 11, 1242, 18026, 11, 290, 46132, 198, 3977, 5521, 805, 11, 27296, 14015, 198, 198, 32, 400, 1616, 873, 198, 6047, 1215, 68, 1636, 68, 11, 6085, 12, 7437, 4708, 11783, 2137, 357, 7645, 18186, 8, 198, 35228, 15586, 12818, 11, 9669, 2137, 198, 8559, 9918, 11, 18532, 2137, 357, 7645, 18186, 8, 198, 17722, 317, 18228, 11, 17362, 7123, 16393, 286, 262, 2059, 286, 23382, 20377, 357, 9804, 1906, 25579, 8, 198, 7130, 774, 27883, 11, 18532, 2137, 198, 36815, 21458, 68, 11, 9283, 2137, 198, 18726, 45409, 35671, 11, 17362, 7123, 16393, 286, 262, 9309, 14536, 357, 13330, 1906, 25579, 8, 198, 1757, 317, 13, 9702, 259, 11, 4152, 18382, 198, 1024, 6, 9069, 17704, 11, 9669, 2137, 198, 5728, 13528, 337, 13, 9842, 494, 11, 4152, 9283, 3985, 198, 8124, 327, 5880, 11, 9283, 2137, 198, 4422, 11294, 2539, 11, 13981, 2137, 351, 7312, 42795, 357, 6999, 1906, 25579, 8, 198, 22361, 1951, 268, 10711, 11, 9283, 2137, 198, 371, 3046, 68, 19635, 11, 9283, 2137, 198, 11271, 33005, 2596, 11, 4708, 9669, 2137, 198, 14757, 17154, 11, 1605, 14, 29818, 4708, 9669, 2137, 329, 4100, 66, 17914, 12088, 28890, 198, 3208, 24499, 11, 18532, 2137, 290, 2888, 286, 262, 29300, 2159, 7171, 520, 13, 5593, 18071, 198, 17542, 327, 2433, 1122, 11, 4152, 4346, 3985, 198, 13167, 5844, 292, 805, 11, 4708, 11783, 2137, 198, 14105, 6372, 11186, 11, 6638, 9669, 2137, 198, 7970, 20920, 11, 7403, 9669, 2137, 357, 10531, 1906, 25579, 8, 362, 87, 12742, 513, 87, 1925, 6734, 8407, 1812, 12090, 198, 5180, 327, 9107, 499, 47982, 11, 9669, 2137, 198, 7939, 48007, 282, 1636, 11, 1966, 5134, 2137, 198, 4186, 360, 382, 11, 4152, 9669, 2137, 198, 19636, 347, 13, 1717, 70, 29111, 11, 4152, 4346, 3985, 198, 5199, 412, 268, 8873, 1211, 11, 18532, 2137, 198, 11088, 15624, 11, 9669, 2137, 198, 3941, 44649, 9107, 11, 4152, 9283, 11, 9669, 11, 290, 4346, 3985, 198, 13452, 30036, 11, 4346, 2137, 198, 3851, 2047, 1305, 282, 624, 11, 9669, 3985, 198, 4422, 41071, 11, 15286, 7123, 16393, 286, 262, 6995, 21012, 357, 11528, 1906, 940, 8, 198, 41708, 16156, 11, 9669, 2137, 198, 25043, 272, 1902, 4597, 11, 9669, 2137, 198, 367, 13, 337, 13, 13980, 11, 4152, 4346, 3985, 290, 2137, 198, 449, 18840, 42575, 1962, 27214, 20125, 16528, 11, 9669, 2137, 198, 8078, 3327, 357, 35634, 2189, 828, 11783, 2137, 198, 8559, 367, 316, 17396, 11, 7403, 9669, 2137, 357, 45271, 1906, 4869, 8, 198, 14286, 16070, 11, 9669, 3985, 379, 27905, 357, 38391, 1906, 4524, 828, 2059, 286, 6025, 357, 40828, 1906, 3829, 8, 198, 17542, 19712, 11, 17362, 7123, 16393, 286, 262, 10433, 15894, 364, 357, 6999, 1906, 25579, 8, 198, 15416, 11256, 494, 11, 4152, 4346, 3985, 198, 5741, 6707, 403, 12, 73, 2150, 357, 21265, 828, 4152, 9669, 2137, 198, 8559, 28972, 11, 18532, 2137, 198, 14886, 12612, 11996, 4106, 11, 9669, 2137, 198, 11325, 3873, 877, 11, 4152, 9669, 2137, 11, 3985, 11, 290, 28823, 198, 4502, 337, 13, 2677, 11, 4152, 4346, 2137, 198, 6882, 9365, 829, 11, 4708, 9669, 2137, 198, 39727, 15067, 67, 11, 4152, 4346, 11, 9283, 11, 290, 9669, 3985, 290, 2137, 198, 3409, 14730, 3841, 11, 4708, 9283, 2137, 198, 4995, 4434, 726, 11, 317, 4339, 290, 11292, 9669, 2137, 198, 11740, 1526, 9319, 68, 11, 9283, 2137, 198, 13452, 1526, 808, 11, 9283, 2137, 198, 3941, 11066, 325, 11, 9283, 2137, 39461, 82, 27863, 318, 281, 11984, 5581, 2168, 4635, 416, 14842, 338, 7308, 290, 7924, 416, 317, 912, 17731, 30107, 388, 2069, 13, 383, 14348, 10997, 5679, 262, 2984, 324, 10065, 286, 2295, 64, 29094, 1045, 508, 318, 262, 4957, 286, 262, 5863, 40994, 371, 600, 283, 13090, 29094, 1045, 13, 1881, 1110, 11, 2295, 64, 7228, 503, 326, 607, 9955, 318, 1016, 284, 816, 6532, 351, 257, 4388, 34273, 16009, 3706, 13756, 10247, 1081, 993, 1437, 13, 11317, 621, 41656, 606, 11, 673, 13267, 284, 1445, 656, 262, 45023, 1874, 1704, 3716, 326, 318, 6898, 416, 13756, 10247, 13, 3574, 612, 11, 673, 27472, 326, 673, 468, 1511, 2239, 12, 37343, 82, 13, 198, 198, 23758, 1351, 198, 198, 39461, 82, 27863, 198, 198, 39461, 82, 27863, 7922, 1105, 13, 20, 198, 198, 39461, 82, 27863, 440, 11731, 7922, 362, 198, 198, 39461, 82, 27863, 440, 11731, 7922, 352, 2601, 12022, 27883, 4595, 318, 257, 2422, 9988, 379, 29496, 261, 287, 2258, 31157, 11, 4492, 13, 198, 198, 18122, 198, 464, 37658, 11, 543, 547, 6198, 4920, 355, 262, 3141, 43369, 1312, 13, 68, 13, 3063, 2040, 1087, 1413, 329, 8342, 9455, 11, 4721, 287, 3035, 32062, 1141, 262, 3274, 2159, 1810, 13, 5187, 39193, 22605, 2630, 867, 286, 465, 31888, 618, 1912, 379, 262, 37658, 11, 1900, 379, 262, 640, 355, 29496, 261, 5407, 5425, 11, 287, 6076, 25859, 13, 198, 198, 2953, 262, 923, 286, 262, 5498, 2159, 1810, 11, 262, 3961, 286, 12842, 14044, 11, 543, 550, 587, 1912, 287, 609, 37520, 11, 373, 6626, 656, 734, 3047, 12350, 50022, 11, 530, 286, 543, 302, 12, 75, 10533, 284, 262, 37658, 13, 383, 37658, 547, 25121, 12686, 27883, 4595, 11, 706, 21586, 12, 12218, 7361, 4502, 12686, 11, 257, 5863, 11949, 2276, 13, 383, 2524, 373, 5174, 355, 257, 1363, 329, 262, 3961, 286, 14476, 3167, 40007, 11, 7042, 287, 23234, 11, 20252, 262, 11872, 286, 262, 8111, 27170, 355, 852, 4497, 329, 262, 12883, 13, 5747, 262, 3961, 286, 12842, 14044, 290, 262, 3961, 286, 14476, 3167, 40007, 4504, 284, 609, 37520, 287, 24977, 13, 5856, 262, 11445, 82, 12686, 27883, 4595, 373, 262, 1363, 286, 257, 8111, 5865, 874, 3047, 34792, 13, 198, 198, 818, 23859, 262, 37658, 2627, 262, 1363, 286, 4353, 23164, 35588, 508, 561, 3520, 612, 329, 3016, 2063, 257, 4289, 13, 1119, 547, 30080, 290, 25121, 1012, 12022, 27883, 4595, 11, 706, 1012, 12022, 3327, 532, 257, 1957, 8737, 4136, 11, 287, 262, 9507, 82, 13, 554, 16489, 257, 5194, 1368, 416, 262, 43161, 282, 8685, 3415, 5407, 11234, 9694, 262, 37658 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 532, 140, 115, 25915, 89, 11208, 2087, 284, 262, 5256, 70, 876, 2599, 3221, 8849, 262, 12913, 2134, 286, 13439, 11, 326, 318, 262, 17800, 286, 281, 2223, 13, 632, 318, 635, 973, 284, 1317, 262, 2426, 286, 617, 41781, 357, 12417, 306, 546, 10825, 8, 290, 284, 4911, 257, 966, 286, 640, 290, 4571, 13, 198, 1318, 389, 29167, 15181, 876, 2663, 25, 198, 1215, 408, 425, 1339, 357, 1571, 532, 38857, 25915, 85, 11208, 2087, 284, 262, 5256, 70, 876, 2599, 8849, 262, 2134, 286, 617, 41781, 284, 1612, 705, 1525, 3256, 705, 1462, 3256, 705, 4480, 4458, 198, 1215, 417, 876, 1339, 357, 1571, 532, 38857, 16142, 140, 117, 25915, 85, 1228, 11208, 2087, 284, 262, 5256, 70, 876, 2599, 27505, 3356, 422, 7382, 13, 632, 318, 635, 973, 351, 262, 15942, 705, 1462, 307, 1498, 6, 290, 284, 4911, 281, 23221, 2223, 13, 198, 3060, 1060, 425, 1339, 357, 1571, 532, 38857, 43666, 18849, 25915, 85, 10989, 11208, 38, 689, 286, 262, 15723, 2351, 3250, 290, 1763, 3760, 318, 281, 1605, 2260, 3952, 326, 17289, 16690, 286, 262, 17704, 13667, 287, 7840, 12926, 13, 383, 3952, 318, 262, 7840, 1712, 2260, 3952, 287, 262, 1578, 1829, 11, 22765, 5000, 5093, 286, 262, 15723, 16291, 13, 383, 3952, 318, 262, 1218, 4387, 287, 262, 471, 13, 50, 13, 379, 837, 4622, 4025, 287, 1989, 621, 15664, 13, 198, 198, 38, 689, 286, 262, 15723, 373, 7317, 11032, 355, 257, 2260, 17757, 319, 3426, 352, 11, 15524, 11, 878, 852, 27135, 515, 355, 257, 2260, 3952, 290, 12201, 2402, 10066, 286, 262, 12926, 2351, 12033, 24182, 23702, 2191, 287, 7169, 13, 317, 1588, 636, 286, 262, 3952, 468, 3224, 4800, 355, 262, 15953, 286, 262, 15723, 40432, 543, 8698, 764, 383, 22775, 1989, 512, 7639, 1040, 262, 1400, 265, 461, 40432, 13, 17083, 11, 484, 1296, 262, 4387, 48627, 22775, 287, 262, 1578, 1829, 13, 198, 198, 25478, 4007, 198, 4821, 284, 262, 2351, 3250, 3052, 25, 198, 198, 25526, 871, 198, 198, 1858, 389, 645, 9725, 287, 15953, 286, 262, 15723, 2351, 3250, 290, 1763, 3760, 13, 440, 5469, 284, 663, 816, 313, 9449, 290, 3092, 286, 16443, 6884, 11, 262, 3952, 318, 262, 1551, 8672, 2260, 3952, 287, 262, 471, 13, 50, 1539, 290, 530, 286, 262, 1551, 8672, 3006, 287, 262, 2104, 471, 13, 50, 13, 2351, 3250, 4482, 11, 543, 635, 3407, 2260, 28814, 11, 27702, 3006, 11, 43759, 11, 290, 9566, 5043, 13, 554, 1584, 11, 262, 3952, 2722, 655, 838, 11, 48000, 9692, 11, 981, 5675, 22099, 2351, 3250, 2722, 3016, 718, 1510, 9692, 357, 10755, 10053, 1661, 355, 867, 8, 287, 262, 976, 614, 13, 198, 198, 21111, 278, 318, 10431, 3690, 262, 3952, 11, 475, 743, 307, 10770, 416, 1396, 3196, 618, 12538, 12547, 10501, 8604, 1626, 262, 3952, 13, 198, 198, 464, 3952, 10043, 318, 287, 7011, 43558, 13, 3250, 4809, 4560, 287, 262, 3952, 389, 5257, 422, 262, 43599, 829, 21888, 9327, 11, 284, 262, 5366, 286, 262, 3952, 13, 198, 198, 10082, 4867, 198, 198, 38, 689, 286, 262, 15723, 2351, 3250, 290, 1763, 3760, 7363, 284, 262, 7421, 286, 262, 33261, 14914, 11, 19254, 319, 262, 17704, 13667, 290, 9505, 262, 5093, 290, 5366, 35082, 286, 262, 12269, 13, 383, 3952, 3407, 262, 5268, 291, 1252, 21124, 290, 636, 286, 262, 20469, 265, 4914, 21124, 13, 383, 3741, 286, 15953, 286, 262, 15723, 318, 11032, 355, 2260, 3952, 11, 287, 543, 691, 48042, 10988, 416, 1957, 10016, 5085, 318, 10431, 13, 12771, 10988, 318, 691, 10431, 287, 262, 2260, 12201, 13, 1675, 12601, 290, 12840, 287, 262, 12201, 11, 257, 1048, 1276, 423, 477, 2672, 16625, 290, 13892, 290, 1061, 477, 584, 1181, 6647, 13, 198, 198, 464, 10183, 18645, 286, 262, 3952, 4143, 5679, 262, 33261, 14914, 379, 257, 5253, 286, 257, 1178, 4608, 11, 351, 262, 8830, 1712, 636, 286, 262, 15723, 2351, 18006, 22433, 220, 18485, 7627, 13, 220, 14248, 47966, 2351, 18006, 22433, 318, 1474, 262, 3952, 338, 26015, 18645, 13, 1400, 265, 461, 2351, 1763, 3760, 512, 7639, 1040, 262, 8830, 18645, 11, 290, 262, 2351, 39970, 12224, 1906, 2348, 8480, 512, 7639, 1040, 262, 24821, 5228, 286, 262, 3952, 13, 16699, 477, 286, 262, 3952, 318, 11032, 355, 22775, 11, 351, 262, 6631, 286, 3006, 1088, 1052, 461, 83, 14795, 2724, 6251, 13, 317, 30795, 6903, 286, 262, 3952, 36550, 262, 503, 3157, 25213, 9638, 290, 11312, 9638, 284, 262, 5093, 286, 262, 3952, 13, 198, 198, 24893, 1402, 5348, 2354, 262, 3952, 338, 13215, 389, 10090, 355, 366, 8154, 6516, 5348, 1, 290, 4745, 319, 3952, 4133, 329, 2057, 290, 30489, 13, 1119, 389, 978, 265, 2616, 11, 1439, 461, 461, 316, 11, 12457, 1754, 11, 1052, 461, 83, 14795, 2724, 6251, 11, 43599, 829, 11, 13922, 4244, 11, 19712, 11, 23403, 2724, 11, 399, 9019, 48382, 315, 11, 911, 2150, 77, 461, 11, 290, 24884, 8463, 13, 1318, 389, 645, 4920, 9725, 11, 19196, 11, 21493, 7291, 11, 393, 1413, 40520, 287, 262, 3952, 13, 220, 383, 33261, 14914, 357, 2348, 8480, 1812, 14914, 1367, 8, 2058, 1626, 1936, 4608, 357, 23, 1849, 13276, 8, 286, 262, 3952, 338, 10183, 18645, 11, 475, 4433, 257, 7850, 12538, 284, 3151, 262, 3952, 422, 262, 2975, 13, 383, 15723, 4225, 40955, 6911, 2072, 3337, 287, 6716, 10250, 5898, 318, 1280, 422, 2739, 1737, 284, 1903, 2693, 11, 4955, 1321, 319, 262, 14860, 11, 43759, 290, 1006, 1018, 274, 286, 262, 17704, 13667, 11, 19760, 261, 6916, 290, 262, 2258, 3454, 3008, 13, 7994, 220, 286, 262, 3952, 290, 12201, 389, 6898, 416, 6868, 10225, 393, 262, 1812, 286, 12926, 13, 220, 389, 6861, 287, 262, 15953, 286, 262, 15723, 40432, 13, 198, 198, 464, 3952, 4909, 12269, 884, 355, 262, 943, 4359, 7569, 38051, 290, 5628, 28818, 1134, 41091, 13, 383, 3952, 635, 3033, 2237, 6183, 290, 1446, 35866, 18280, 25, 198, 2348, 265, 2616, 5866, 220, 198, 7554, 5866, 220, 198, 42, 672, 2724, 5866, 220, 198, 1169, 2258, 39812, 286, 262, 509, 726, 2724, 2724, 5866, 220, 198, 3911, 286, 262, 1400, 265, 461, 5866, 198, 51, 259, 323, 70, 2724, 5866 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 13, 220, 383, 3670, 10288, 262, 4141, 39073, 3911, 972, 810, 1111, 7912, 389, 4642, 13, 198, 198, 818, 2813, 11, 262, 16974, 5062, 373, 2716, 13, 220, 632, 318, 9080, 609, 504, 684, 2760, 1437, 2387, 29994, 257, 4941, 284, 4141, 6260, 6850, 274, 2448, 4951, 290, 465, 5337, 12, 7501, 368, 471, 710, 47154, 2760, 1437, 557, 27972, 198, 198, 15642, 4867, 198, 198, 2348, 4435, 82, 198, 198, 29974, 829, 198, 198, 6395, 7259, 6264, 198, 7795, 1058, 366, 1273, 671, 347, 2118, 12162, 1600, 319, 262, 23340, 1703, 454, 7870, 198, 7795, 1058, 366, 4507, 23013, 11, 17266, 308, 518, 2261, 1, 351, 35163, 955, 417, 671, 11, 2656, 422, 15470, 367, 453, 820, 319, 262, 25189, 2675, 6862, 406, 11322, 544, 318, 281, 3942, 2646, 3437, 13, 198, 198, 20457, 1204, 198, 43, 11322, 544, 373, 4642, 290, 3181, 510, 287, 21157, 17325, 11, 3794, 13, 679, 373, 15657, 379, 262, 13914, 3961, 11, 2986, 48841, 13, 679, 5710, 503, 286, 257, 49291, 1781, 287, 968, 1971, 2059, 284, 3342, 7381, 64, 399, 958, 319, 383, 23058, 7884, 13, 679, 550, 587, 281, 8796, 319, 1605, 7328, 884, 355, 383, 6663, 8865, 11, 317, 16374, 23375, 290, 3060, 5722, 284, 5896, 13, 198, 198, 17784, 263, 198, 8421, 5033, 257, 2646, 3437, 11, 5949, 2675, 6862, 373, 281, 8796, 3437, 329, 7844, 315, 3768, 41396, 283, 18320, 338, 2278, 12191, 2646, 406, 8126, 272, 25, 4874, 14438, 257, 3862, 287, 3794, 13, 1081, 317, 321, 343, 11356, 373, 2045, 329, 2130, 351, 8502, 1998, 329, 406, 8126, 272, 11, 6755, 7637, 9084, 38672, 7151, 5949, 2675, 6862, 11, 508, 550, 3111, 351, 26217, 290, 18936, 287, 8502, 13, 679, 635, 3111, 355, 262, 1218, 8796, 3437, 329, 262, 2646, 509, 1689, 311, 35076, 25, 317, 17388, 286, 5896, 357, 22288, 737, 198, 198, 1544, 925, 465, 8886, 355, 257, 2646, 3437, 351, 262, 6244, 2646, 22917, 1001, 317, 11729, 4638, 64, 360, 455, 13, 2399, 1218, 2646, 31873, 22028, 77, 32580, 2716, 287, 5075, 543, 31636, 48148, 397, 71, 25332, 3147, 290, 943, 29741, 26882, 282, 287, 262, 3756, 2597, 373, 257, 28763, 286, 262, 5472, 1605, 2646, 1869, 319, 3764, 13, 2399, 2368, 2646, 17011, 448, 379, 36861, 4993, 86, 6081, 543, 468, 257, 5021, 12, 7364, 3350, 2716, 319, 1679, 1737, 4343, 290, 373, 1912, 319, 1103, 12, 6042, 2995, 7411, 262, 42494, 7706, 5937, 26041, 360, 12456, 290, 29328, 541, 9842, 10247, 13, 554, 2739, 4343, 339, 7924, 257, 1790, 1621, 11946, 14419, 319, 262, 8511, 329, 262, 43469, 2646, 360, 385, 38798, 3216, 3972, 272, 13, 2399, 1306, 2646, 373, 12633, 25299, 20495, 29237, 74, 33753, 23013, 11, 3825, 346, 1375, 42852, 11, 911, 380, 3972, 6866, 272, 290, 1168, 16548, 11356, 543, 2716, 287, 3648, 13, 2258, 1605, 9920, 10447, 292, 24754, 4528, 286, 12301, 75, 8937, 8034, 38261, 351, 337, 9232, 14403, 329, 262, 717, 640, 319, 262, 12633, 314, 301, 28340, 15065, 21751, 13, 198, 198, 1544, 468, 3194, 262, 1621, 286, 10415, 1222, 40749, 357, 10531, 828, 543, 318, 7924, 25225, 943, 272, 3099, 13, 406, 11322, 544, 2630, 290, 7924, 477, 262, 6918, 422, 465, 8886, 284, 12633, 25299, 13, 679, 925, 465, 7205, 8886, 351, 257, 4633, 2597, 287, 262, 3050, 2646, 29061, 3806, 20495, 2986, 33708, 360, 15318, 290, 5686, 81, 24408, 11356, 13, 198, 198, 818, 2211, 11, 339, 7924, 257, 28763, 286, 262, 19304, 2646, 47022, 18015, 263, 351, 12088, 45284, 8674, 7431, 3178, 272, 26, 262, 2646, 373, 10588, 416, 38746, 414, 64, 50024, 1477, 3447, 12898, 13, 554, 2177, 11, 339, 7924, 262, 2646, 367, 589, 8107, 3250, 283, 1912, 319, 262, 1204, 286, 17552, 702, 30917, 338, 6621, 351, 911, 81, 2860, 3099, 27344, 2675, 290, 607, 1103, 12, 6042, 3956, 44487, 71, 415, 27344, 2675, 287, 262, 1085, 9176, 13, 198, 198, 39750, 4867, 198, 198, 19927, 198, 198, 41506, 6117, 628, 220, 198, 545, 9945, 5833, 14, 46724, 198, 198, 39750, 13445, 422, 30311, 198, 39, 521, 72, 12, 16129, 2646, 13445, 198, 36376, 661, 198, 16966, 6784, 3961, 11, 2986, 48841, 31333, 198, 8001, 1023, 422, 21157, 17325, 198, 2481, 301, 12, 14792, 3942, 2646, 13445, 198, 17688, 286, 4082, 4814, 357, 19950, 661, 8, 33553, 19219, 318, 257, 24414, 5337, 416, 3517, 6260, 8616, 3469, 357, 5305, 1438, 8616, 18653, 42453, 365, 737, 198, 198, 1026, 4952, 262, 1621, 286, 257, 1448, 286, 11574, 661, 16574, 416, 4512, 284, 257, 2156, 2151, 13, 14444, 284, 257, 19558, 11, 2158, 11, 262, 4512, 318, 881, 11038, 290, 262, 1448, 2753, 9519, 287, 262, 15909, 1588, 20515, 7541, 13, 1439, 262, 2223, 286, 262, 1621, 2753, 1295, 287, 262, 7541, 13, 198, 198, 15633, 1042, 393, 36913, 30, 198, 198, 17439, 509, 7780, 1098, 9456, 287, 465, 14268, 366, 464, 18993, 286, 1882, 20568, 1, 326, 2157, 262, 12653, 7110, 286, 428, 5337, 612, 318, 257, 3716, 3992, 286, 37071, 4263, 11, 262, 749, 1593, 852, 262, 3785, 286, 262, 15993, 8312, 5770, 41167, 11, 543, 318, 7634, 8165, 284, 530, 286, 262, 3435, 13, 770, 2957, 509, 7780, 1098, 284, 2074, 3615, 19219, 355, 257, 12495, 396, 5337, 7634, 12824, 416, 262, 4213, 286, 309, 13, 50, 13, 46082, 13, 198, 198, 19927, 198, 198, 1129, 2670, 3517, 16122, 198, 2949, 626, 82, 416, 8616, 3469, 198, 2949, 626, 82, 900, 287, 18505, 198, 39, 519, 11999, 4332, 3835, 198, 31439, 396, 16122, 7371, 370, 13, 27414, 357, 21816, 2242, 11, 37547, 784, 3269, 2808, 11, 4793, 8, 373, 257, 1578, 1829, 13270, 286, 3208, 658, 290, 8397, 368, 5558, 13, 198, 198, 20457, 1204, 290, 3451, 198, 30457, 1008, 373, 4642, 287, 4842, 290, 4983, 355, 257, 350, 12, 2857, 8022, 1141, 2159, 1810, 2873, 13, 679, 373, 2823, 866, 625, 8031, 11, 290, 2714, 287, 257, 2679, 24148, 1413, 1566, 3035, 2808, 11, 15761, 13, 198, 198, 3260, 262, 1175, 11, 27414, 9141, 34699, 2059, 11, 30024, 351, 257, 347, 36078, 287, 21794, 13, 679, 7366, 465, 23383, 271, 9356, 287, 26352, 422, 262, 2059, 286, 8488, 13, 679, 1568, 1816, 319, 284, 5160, 465, 5599, 286, 34830 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 259, 29653, 784, 352, 25, 4051, 198, 366, 43, 32270, 17924, 5155, 1, 784, 604, 25, 1558, 198, 198, 16130, 198, 1, 43, 32270, 17924, 5155, 1, 318, 257, 34471, 416, 20700, 15442, 286, 262, 17508, 1248, 2610, 366, 3347, 338, 33520, 12849, 1911, 383, 34471, 3033, 8319, 25355, 422, 1866, 286, 16597, 75, 12, 32, 12, 24151, 13, 198, 198, 15439, 4954, 220, 198, 2990, 24213, 1355, 12056, 198, 7554, 1610, 504, 9228, 1849, 1906, 25355, 11, 10047, 198, 7554, 406, 3732, 695, 1849, 1906, 25355, 11, 34512, 11, 12702, 10212, 42504, 198, 198, 17699, 17245, 198, 42, 3325, 29010, 1849, 1906, 3478, 273, 46909, 319, 366, 50, 2135, 259, 29653, 198, 17140, 21776, 290, 14173, 72, 1849, 1906, 4095, 25355, 319, 366, 43, 32270, 17924, 5155, 1, 198, 198, 35027, 198, 2990, 24213, 1355, 12056, 1849, 1906, 9920, 198, 47740, 15442, 1849, 1906, 9920, 319, 366, 43, 32270, 17924, 5155, 1, 198, 12041, 49759, 15516, 1849, 1906, 11949, 319, 366, 40, 3175, 521, 5998, 314, 1600, 366, 34, 6485, 363, 316, 593, 1600, 290, 366, 50, 2135, 259, 6, 8172, 17090, 319, 366, 34, 6485, 363, 316, 593, 1, 290, 366, 50, 2135, 259, 29653, 198, 32718, 360, 8270, 926, 1849, 1906, 17090, 319, 366, 34, 6485, 363, 316, 593, 1, 290, 366, 50, 2135, 259, 29653, 198, 47, 261, 6679, 45655, 1849, 1906, 11949, 319, 366, 43, 32270, 17924, 5155, 1, 198, 27917, 367, 9019, 1849, 1906, 17090, 319, 366, 43, 32270, 17924, 5155, 1, 198, 36235, 7178, 14192, 1636, 1849, 1906, 17090, 319, 366, 40, 3175, 521, 5998, 314, 1, 198, 198, 8001, 1818, 198, 41, 30755, 1001, 571, 727, 1849, 1906, 16223, 198, 198, 19927, 198, 198, 41506, 6117, 198, 40, 3175, 521, 5998, 314, 14724, 379, 770, 24213, 1355, 317, 13078, 198, 1, 40, 3175, 521, 5998, 314, 1, 357, 34050, 8, 379, 770, 24213, 1355, 317, 13078, 198, 198, 23847, 7259, 198, 11531, 521, 398, 274, 198, 2990, 24213, 1355, 12056, 7259, 198, 28827, 74, 9535, 13407, 412, 12016, 22245, 11646, 8127, 357, 6286, 2932, 838, 11, 11445, 8, 318, 257, 5398, 1966, 4708, 4771, 12217, 9366, 805, 290, 1182, 3985, 13, 8127, 373, 4632, 2904, 281, 8796, 3985, 329, 262, 8857, 30652, 286, 262, 2351, 17277, 4041, 357, 45, 6581, 737, 198, 198, 36530, 3451, 198, 37349, 373, 15937, 416, 262, 12871, 33664, 287, 262, 8069, 9481, 48576, 13650, 11, 24742, 12, 19412, 400, 4045, 13, 679, 2826, 329, 262, 35297, 17711, 32586, 23020, 496, 1834, 11, 12871, 33664, 11, 520, 13, 5593, 15261, 11, 8488, 2297, 17330, 290, 35297, 8857, 3764, 32002, 13, 198, 198, 7222, 8103, 3451, 198, 1544, 373, 281, 8796, 3985, 329, 262, 2059, 286, 2258, 13336, 19098, 37903, 12217, 1074, 11, 9005, 9966, 16120, 11, 968, 1971, 32868, 11, 5401, 5652, 10578, 290, 8533, 10271, 13, 679, 373, 635, 281, 7205, 1182, 3985, 1022, 3269, 1679, 11, 6244, 11, 290, 1737, 6244, 329, 262, 8533, 10271, 13, 679, 1839, 262, 14861, 5454, 287, 12863, 13, 679, 1839, 262, 14167, 5454, 287, 7358, 13, 1550, 2932, 838, 11, 3050, 8127, 373, 3706, 8796, 3985, 329, 262, 8919, 6183, 4009, 11, 257, 2292, 339, 2714, 1566, 262, 7664, 286, 262, 1853, 12, 1433, 1622, 13, 198, 198, 1544, 318, 635, 262, 2988, 286, 1966, 9481, 2651, 406, 5063, 8127, 13, 198, 198, 17784, 263, 7869, 198, 198, 7222, 8103, 7869, 198, 198, 32, 2017, 290, 3032, 4662, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 42751, 27244, 198, 36376, 661, 198, 28203, 4771, 12217, 9366, 3653, 198, 40540, 10271, 11070, 198, 40404, 2297, 17330, 1938, 198, 23709, 12217, 661, 422, 31346, 198, 28903, 5652, 10578, 11070, 198, 13579, 5132, 5454, 14591, 198, 45670, 2258, 10271, 11070, 198, 45670, 6183, 11070, 198, 26031, 5305, 33664, 4538, 11103, 198, 26031, 5305, 33664, 1938, 198, 3791, 1971, 32868, 11070, 198, 14157, 13336, 19098, 23445, 1450, 338, 4771, 12217, 11070, 198, 45, 10071, 32586, 23020, 496, 1834, 1938, 198, 42349, 3764, 32002, 357, 32, 6581, 8, 1938, 198, 42349, 30652, 11070, 198, 35784, 9966, 16120, 11070, 198, 1273, 13, 5593, 15261, 11070, 198, 1273, 13, 5593, 15261, 1938, 198, 18153, 15332, 422, 9005, 9966, 11, 31346, 198, 32140, 1636, 5454, 7827, 198, 51, 13299, 4696, 12469, 11070, 198, 28203, 4771, 12217, 11070, 19156, 20055, 743, 3522, 284, 25, 628, 5811, 20055, 357, 6286, 5199, 42264, 11, 32062, 1906, 21113, 828, 763, 12, 45382, 286, 9827, 198, 3851, 20055, 357, 42830, 1906, 1238, 2481, 828, 1605, 14971, 287, 14493, 198, 5199, 20055, 357, 6286, 24718, 828, 3517, 21623, 351, 1583, 13, 18571, 11274, 198, 5199, 20055, 357, 28899, 8, 357, 1507, 2931, 1906, 1507, 3829, 828, 8685, 47898, 198, 5199, 20055, 357, 18230, 2189, 8, 357, 1507, 4521, 1906, 1129, 3553, 828, 1605, 2646, 9920, 357, 21659, 290, 3837, 8, 198, 5199, 20055, 357, 28864, 418, 8803, 8, 357, 6286, 28017, 828, 1605, 23723, 198, 5199, 20055, 357, 32945, 18382, 8, 357, 1129, 1157, 1906, 23847, 828, 1893, 286, 262, 1578, 1829, 11514, 4606, 198, 5199, 376, 13, 20055, 357, 1129, 2075, 1906, 12726, 828, 471, 13, 50, 13, 20656, 284, 7517, 11, 12844, 1906, 29110, 198, 5199, 8431, 20055, 357, 1507, 3682, 1906, 1129, 2999, 828, 8685, 29069, 1694, 290, 2742, 6260, 198, 198, 6214, 635, 198, 19156, 28370, 357, 6381, 4131, 328, 2288, 8, 198, 19156, 327, 1531, 357, 1507, 2998, 1906, 1507, 3365, 828, 8685, 5464, 34184, 34272, 979, 18840, 20515, 4429, 7499, 318, 257, 1588, 20515, 4429, 287, 4757, 34272, 979, 18840, 11, 257, 220, 287, 4318, 46210, 44692, 11, 16519, 13, 383, 1336, 1743, 1438, 286, 262, 4429, 318, 220, 357, 259, 3594, 25, 7965, 9276, 9327, 8, 20252, 262, 1109, 326, 262, 4429, 318, 5140, 6697, 7965, 9276, 11, 734, 18212, 284, 262, 5366, 286, 262, 220, 20533, 13, 383, 2323, 4314, 286, 262, 4429, 468, 29167, 8339, 290, 262, 4314, 2174, 468, 734, 8339, 329, 262, 46210, 44692, 22153, 13, 198, 198, 818, 33448, 11, 262, 4429, 2722, 262, 15012, 22566, 286, 2351, 30426, 33075, 13, 198, 198, 18122, 198, 198, 2202, 767, 2805, 1248, 2414, 11, 287, 257, 10542, 9141, 416, 262, 1893, 13167, 349, 296, 2634, 11707, 260 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 12934, 13, 220, 770, 4001, 262, 8604, 547, 25069, 329, 3119, 5704, 13, 220, 383, 29364, 11, 262, 14683, 11, 290, 262, 1181, 17498, 319, 326, 1956, 338, 25069, 6426, 329, 939, 812, 13, 220, 4796, 39083, 7423, 635, 4367, 326, 1141, 428, 939, 12, 1941, 11506, 11, 262, 440, 1268, 750, 407, 2230, 284, 21509, 3670, 357, 15605, 1056, 8, 625, 262, 1956, 1566, 2904, 26, 290, 772, 788, 691, 257, 1402, 6903, 286, 663, 2656, 718, 11, 830, 11, 830, 12, 12345, 24048, 13, 4362, 286, 428, 11, 262, 3078, 1034, 1389, 326, 939, 812, 373, 1165, 890, 284, 307, 503, 286, 440, 1268, 9238, 13, 220, 8447, 11, 440, 1268, 714, 407, 12719, 861, 663, 17054, 16989, 625, 883, 8604, 355, 281, 11353, 9030, 13, 198, 198, 818, 2252, 1104, 286, 262, 2551, 284, 17586, 11, 4796, 39083, 7423, 4367, 326, 284, 16266, 262, 2793, 8028, 6, 27572, 561, 2728, 1165, 881, 46907, 329, 262, 1748, 11, 262, 7968, 11, 290, 262, 1181, 508, 48322, 12934, 625, 262, 1956, 329, 939, 812, 1231, 4003, 326, 340, 373, 407, 4938, 306, 1760, 13, 220, 6708, 29808, 262, 2529, 403, 14070, 8259, 262, 440, 1268, 7194, 750, 407, 2074, 262, 2994, 286, 1687, 6426, 284, 262, 1748, 13, 220, 12032, 11, 4796, 39083, 7423, 1034, 1389, 326, 780, 262, 8604, 547, 1729, 12, 3642, 29709, 351, 4683, 24048, 8604, 11, 1527, 29808, 262, 2529, 403, 14070, 8259, 561, 2251, 257, 366, 9122, 263, 3526, 1, 286, 10376, 47273, 5358, 1022, 262, 440, 1268, 11, 262, 1181, 11, 262, 1748, 286, 6528, 20190, 11, 290, 14909, 3418, 13, 198, 198, 4711, 655, 6637, 2810, 416, 4796, 39083, 7423, 547, 4001, 284, 1037, 883, 407, 5385, 351, 262, 1339, 2106, 284, 9377, 1096, 607, 2551, 13, 383, 47856, 19719, 17498, 319, 318, 1900, 355, 262, 13115, 286, 9412, 290, 373, 9181, 287, 262, 4459, 338, 717, 38512, 355, 5679, 25, 198, 198, 1, 9203, 262, 564, 250, 4598, 310, 7640, 286, 9412, 11, 447, 251, 3418, 286, 5574, 11993, 311, 391, 357, 18, 3945, 34463, 8, 373, 281, 8200, 44185, 13, 198, 198, 29478, 4662, 198, 1766, 44989, 632, 9752, 8464, 25, 28017, 12, 2670, 198, 198, 1129, 1065, 27244, 198, 21908, 7040, 198, 45696, 4346, 364, 198, 7089, 494, 317, 1938, 198, 9492, 21574, 1938, 198, 20795, 3301, 2199, 66, 952, 1938, 198, 13746, 12162, 327, 13, 37, 13, 34, 13, 1938, 198, 43, 6, 32, 43652, 2199, 66, 952, 36565, 1938, 198, 40, 301, 4484, 8200, 661, 198, 18153, 15332, 422, 350, 4712, 198, 8021, 41003, 4346, 3061, 24952, 198, 33751, 72, 2199, 66, 952, 376, 13, 34, 13, 1938, 464, 6244, 22268, 27612, 10983, 3245, 5665, 4281, 3071, 1718, 1295, 319, 362, 1737, 6244, 284, 1742, 1866, 286, 22268, 27612, 10983, 3245, 5665, 4281, 287, 40030, 3841, 10932, 11, 4492, 13, 1881, 2368, 286, 262, 6745, 373, 510, 329, 3071, 290, 262, 11132, 3615, 8618, 4045, 1630, 286, 262, 6745, 422, 262, 7179, 3615, 13, 198, 198, 3260, 262, 3071, 11, 262, 11742, 286, 262, 6745, 373, 25, 198, 42039, 2608, 198, 32475, 2534, 198, 198, 36, 1564, 1255, 198, 464, 2482, 2497, 262, 17897, 1592, 257, 3741, 286, 604, 319, 262, 6745, 706, 13977, 513, 8632, 422, 7179, 13, 383, 17897, 8618, 8632, 287, 10983, 3245, 2688, 290, 6528, 81, 1371, 32710, 11, 355, 880, 355, 530, 286, 262, 362, 8632, 852, 24163, 287, 10983, 3245, 2258, 11, 810, 513, 39851, 547, 2622, 284, 4553, 262, 1353, 604, 5871, 508, 477, 5201, 1626, 1596, 5690, 286, 1123, 584, 13, 383, 12266, 4956, 4054, 284, 1592, 597, 8632, 11, 475, 1625, 1218, 287, 604, 32710, 290, 547, 1626, 2534, 5690, 286, 262, 11132, 8464, 287, 7157, 1589, 15305, 13, 14674, 21666, 287, 262, 3071, 373, 3439, 13, 18, 7441, 257, 4485, 286, 546, 513, 4, 319, 262, 4751, 3071, 706, 477, 4446, 547, 1498, 284, 651, 30793, 5690, 329, 262, 717, 640, 13, 198, 198, 49021, 2482, 198, 198, 19927, 198, 198, 16942, 198, 16942, 3594, 1957, 7024, 198, 11024, 82, 287, 40030, 3841, 10932, 41389, 417, 3754, 311, 945, 3245, 22586, 453, 373, 281, 1605, 7068, 287, 31988, 11, 8819, 11, 3025, 670, 3017, 281, 1248, 5892, 38977, 417, 286, 262, 43562, 329, 262, 9747, 2351, 5018, 11819, 357, 3911, 286, 262, 31988, 338, 9436, 9566, 4783, 8, 3170, 287, 34865, 13, 632, 373, 38977, 18449, 757, 287, 11445, 13, 383, 2615, 7173, 22960, 8857, 338, 3274, 2351, 5018, 286, 262, 2066, 416, 5278, 34937, 408, 357, 1507, 5705, 737, 198, 198, 22731, 422, 3340, 11, 22586, 453, 3562, 867, 6832, 351, 30247, 805, 3977, 327, 13, 6700, 261, 287, 262, 2739, 34865, 82, 13, 383, 1994, 6440, 287, 262, 3934, 625, 530, 286, 262, 1218, 1621, 9168, 13062, 262, 1777, 14323, 576, 286, 262, 307, 8770, 8872, 11, 257, 720, 940, 3869, 3704, 21043, 276, 287, 1248, 2920, 618, 8819, 373, 257, 7674, 13, 383, 31606, 547, 412, 8609, 1559, 290, 28102, 263, 508, 973, 10202, 2266, 290, 9368, 2879, 13791, 6450, 6440, 319, 262, 43562, 290, 734, 15180, 286, 23895, 46755, 41013, 1104, 257, 2063, 12, 998, 32439, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 29398, 286, 9747, 2351, 5018, 422, 262, 2059, 286, 8819, 4875, 22415, 198, 198, 8001, 1023, 422, 31988, 11, 8819, 198, 19895, 5712, 82, 422, 8819, 198, 17688, 286, 4082, 4814, 198, 17688, 286, 1918, 4814, 7554, 4682, 23027, 357, 1558, 2598, 1906, 1507, 1433, 8, 373, 257, 16927, 263, 290, 14779, 312, 560, 11, 281, 3594, 3288, 396, 290, 281, 920, 296, 7451, 286, 12905, 84, 268, 313, 18598, 13, 198, 198, 42885, 23027, 373, 257, 3576, 12711, 12368, 508, 373, 635, 257, 16456, 287, 3288, 2106, 27569, 290, 21641, 13, 679, 373, 262, 5797, 329, 1757, 2275, 13645, 6301, 465, 1605, 6512, 290, 3288, 2106, 27128, 13, 679, 9456, 257, 1588, 12833, 4947, 13, 2773, 286, 465, 44571, 1656, 287, 262, 26544, 274, 286, 3977, 5437, 13, 679, 373, 257, 29764, 286, 262, 5164, 710, 272, 7023, 13, 198, 198, 464, 4682, 23027, 4942, 78, 198, 198, 818, 2693, 1248, 1065, 4682, 23027, 373, 3142, 284, 12854, 1088, 281, 555 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 973, 287, 262, 30471, 14843, 290, 30471, 10841, 31047, 13, 198, 198, 4821, 284, 281, 2708, 422, 41735, 6404, 11, 30471, 5495, 262, 3598, 5852, 31860, 287, 262, 4960, 1910, 1248, 2795, 3648, 13, 198, 198, 7004, 11493, 1239, 2702, 262, 1475, 13827, 287, 2258, 2253, 11, 1719, 18524, 284, 3677, 262, 12470, 12, 13982, 30471, 10841, 31047, 513, 12, 808, 27668, 2427, 13, 2102, 11, 1111, 262, 1475, 13827, 290, 10841, 31047, 547, 2702, 287, 4505, 290, 12551, 13, 2080, 30471, 1719, 24368, 3227, 286, 262, 10841, 31047, 287, 1946, 11, 340, 373, 2938, 326, 262, 1664, 1244, 2222, 262, 1475, 13827, 284, 2258, 2253, 355, 257, 9014, 290, 5726, 656, 262, 3598, 12, 6603, 6540, 27668, 26763, 1910, 11, 475, 30471, 7690, 407, 284, 780, 286, 262, 1475, 13827, 338, 2546, 290, 663, 6824, 284, 4439, 257, 10841, 31047, 17270, 287, 262, 1578, 1829, 11, 1444, 262, 1081, 1087, 13, 198, 198, 35027, 2196, 220, 198, 198, 464, 1475, 13827, 373, 2716, 329, 5466, 287, 2869, 319, 1596, 2795, 3648, 11, 290, 373, 3170, 284, 6330, 262, 30471, 309, 4108, 25011, 11, 543, 714, 635, 1745, 3598, 10405, 287, 262, 4960, 1910, 13, 632, 373, 7317, 2702, 691, 287, 2869, 475, 4505, 318, 262, 717, 10784, 1910, 2354, 2869, 284, 3328, 340, 11, 810, 340, 318, 2089, 2004, 30471, 14734, 1475, 13827, 13, 14444, 284, 262, 20897, 15225, 286, 262, 1475, 13827, 407, 852, 287, 11846, 351, 4960, 5070, 6647, 11, 340, 318, 407, 10090, 355, 257, 366, 5589, 529, 4904, 53, 1911, 198, 198, 464, 1475, 13827, 318, 1695, 287, 1440, 15797, 3689, 25, 262, 362, 13, 15, 72, 318, 262, 5726, 1241, 2196, 11, 3940, 416, 262, 362, 13, 15, 72, 12, 43, 11, 262, 362, 13, 15, 72, 12, 50, 11, 477, 351, 257, 1729, 12, 36590, 2127, 17200, 3113, 11, 290, 262, 29292, 17200, 362, 13, 15, 19555, 351, 987, 24494, 263, 13, 383, 2166, 1036, 8270, 290, 14263, 82, 1073, 404, 43397, 611, 262, 3113, 318, 29292, 17200, 26, 262, 32030, 458, 515, 2196, 318, 7223, 284, 5672, 1231, 257, 29292, 11, 290, 257, 6147, 19609, 351, 3223, 458, 803, 318, 329, 262, 29292, 13, 4930, 36745, 13370, 6718, 1010, 423, 587, 6589, 287, 257, 32969, 8398, 329, 4050, 8971, 1630, 13, 14199, 4022, 4188, 27758, 11478, 318, 973, 319, 11874, 1231, 257, 29292, 11, 290, 569, 21016, 318, 973, 351, 262, 29292, 13, 15810, 10620, 389, 2035, 1467, 1, 393, 1596, 1, 329, 262, 29292, 13, 1114, 262, 4960, 12, 16684, 1475, 13827, 11, 14356, 35, 318, 11902, 319, 262, 8752, 18808, 515, 2196, 290, 3210, 319, 262, 29292, 355, 286, 642, 2901, 3648, 13, 198, 198, 2202, 362, 2693, 3717, 11, 262, 6910, 433, 4565, 26196, 51, 11478, 373, 1695, 319, 14356, 35, 5672, 11, 290, 257, 4639, 3747, 6133, 1444, 366, 24876, 50, 432, 1, 373, 2087, 355, 281, 3038, 319, 262, 1353, 1241, 362, 13, 15, 19555, 13, 198, 198, 24876, 50, 432, 10874, 286, 15203, 9073, 11, 530, 319, 1123, 1735, 286, 262, 8286, 1570, 10162, 11, 326, 779, 1692, 12, 2339, 10268, 48228, 5761, 284, 5052, 18868, 290, 4143, 1394, 22524, 319, 262, 4639, 13, 383, 1080, 460, 1037, 5529, 257, 3338, 5253, 319, 262, 12763, 11, 257, 11193, 12928, 6509, 1080, 11, 257, 4639, 7995, 6509, 329, 2972, 3747, 7445, 11, 290, 772, 7622, 281, 4151, 503, 329, 26735, 13, 25861, 12, 27535, 786, 468, 635, 587, 11521, 656, 262, 14144, 50, 432, 3895, 13, 198, 198, 464, 1475, 13827, 460, 5852, 3598, 10405, 11, 25137, 257, 24972, 22910, 286, 262, 8632, 11, 12560, 262, 717, 290, 1218, 15274, 4622, 2793, 621, 262, 2368, 5752, 13, 1052, 11902, 11, 5969, 2292, 11, 3425, 273, 18127, 5405, 9753, 8698, 262, 717, 290, 1218, 15274, 286, 8632, 13, 13601, 8286, 3420, 28431, 1280, 284, 2048, 4101, 1849, 13500, 6037, 329, 2562, 1895, 284, 262, 2368, 5752, 13, 383, 8286, 11461, 3544, 4274, 12, 86, 680, 15992, 10959, 284, 787, 2119, 329, 262, 2368, 5752, 290, 257, 3094, 31488, 26247, 618, 262, 1218, 290, 2368, 5752, 8632, 389, 24650, 866, 13, 383, 1218, 5752, 8632, 460, 307, 17033, 27803, 736, 290, 6071, 220, 355, 2622, 11, 351, 257, 530, 3638, 29909, 9030, 284, 1249, 1895, 284, 262, 2368, 5752, 13, 383, 15892, 1989, 4394, 257, 5017, 41228, 3164, 11, 5086, 3709, 284, 307, 4624, 739, 262, 4314, 13, 4930, 1633, 34005, 389, 973, 329, 2166, 10405, 11, 41610, 351, 717, 5752, 1735, 2928, 290, 3224, 1735, 29461, 1633, 34005, 1805, 717, 290, 1218, 5752, 10405, 13, 383, 8632, 17624, 3098, 12, 1929, 24705, 1077, 11, 2928, 12, 46303, 4623, 3037, 13, 317, 10777, 856, 20439, 26667, 318, 3017, 284, 4646, 262, 2863, 286, 2366, 5095, 287, 43, 11690, 5535, 38397, 2870, 8581, 357, 5639, 4537, 8, 357, 14508, 1900, 355, 12406, 19141, 8581, 393, 383, 11312, 319, 262, 3327, 8, 318, 257, 1115, 12, 1941, 220, 3504, 1524, 290, 1440, 12, 1941, 4152, 9198, 2870, 19972, 1524, 287, 262, 9470, 2254, 11, 11565, 3961, 5665, 13, 383, 1029, 1524, 4394, 4037, 347, 4134, 6081, 495, 378, 4056, 13, 4062, 276, 355, 257, 1524, 329, 5510, 3399, 11, 340, 373, 9393, 287, 47801, 290, 2627, 257, 1029, 1524, 287, 31982, 13, 632, 373, 407, 11521, 1566, 15524, 618, 340, 2627, 257, 19972, 1524, 13, 383, 3710, 1767, 318, 783, 4632, 2042, 290, 465, 35843, 13, 12892, 621, 1160, 1411, 286, 2444, 389, 2330, 13, 198, 198, 43, 11690, 373, 10307, 416, 471, 13, 50, 13, 3000, 1222, 2159, 6358, 355, 530, 286, 262, 366, 9126, 1802, 3334, 20357, 1, 287, 262, 1578, 1829, 287, 2321, 290, 1853, 13, 554, 3648, 290, 1946, 11, 262, 1524, 2722, 262, 4518, 44664, 3961, 11289, 286, 42525, 416, 262, 1578, 1829, 2732, 286, 7868, 11, 262, 4511, 5764, 281, 1605, 1524, 460, 3328, 13, 198, 198, 818, 1853, 11, 262, 21531, 373, 3706, 262, 1266, 1171, 1524, 287, 262, 1812, 286, 11565, 13, 198, 198, 18122, 220, 198, 464, 717, 1524, 287, 12406, 5535, 19141, 338, 31144, 373, 9393, 287, 9470, 2254, 11, 11565, 287, 47801, 13, 554, 31982, 11, 739, 262, 5531, 286, 32641, 17371, 399, 13 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 8454, 7441, 2440, 621, 262, 2260, 2811, 286, 7863, 13, 20, 48529, 4257, 31231, 318, 6135, 7441, 290, 4048, 31231, 318, 7632, 7225, 554, 38749, 2113, 22982, 1872, 11, 1511, 4, 286, 262, 3265, 318, 739, 718, 812, 286, 2479, 13, 198, 198, 19927, 198, 198, 34, 871, 290, 11684, 287, 376, 7058, 89, 14225, 4783, 47, 1666, 259, 318, 257, 19495, 286, 262, 5187, 272, 10205, 86, 4783, 286, 32955, 13, 632, 318, 880, 1900, 329, 262, 18579, 36684, 11652, 784, 347, 2101, 1608, 3337, 220, 198, 198, 39935, 416, 262, 15945, 8581, 286, 13473, 13, 1318, 318, 635, 257, 9281, 10674, 4564, 3170, 287, 262, 1478, 400, 4289, 13, 198, 198, 46445, 6084, 2894, 82, 286, 32955, 198, 47, 5558, 287, 32955, 198, 198, 22327, 272, 10205, 86, 38, 17990, 3301, 318, 257, 1748, 290, 257, 27264, 739, 262, 27545, 4546, 1644, 4429, 287, 25654, 2763, 272, 14668, 283, 2258, 29648, 286, 350, 5945, 64, 25654, 2763, 272, 4783, 287, 262, 3942, 1181, 286, 2688, 28630, 13, 198, 198, 18122, 198, 198, 464, 1989, 1022, 262, 5245, 375, 283, 290, 22028, 323, 373, 4271, 1900, 355, 402, 404, 65, 17047, 13, 198, 198, 10082, 4867, 198, 198, 14749, 198, 38, 17990, 3301, 318, 5140, 379, 764, 632, 468, 281, 2811, 22910, 286, 4353, 1849, 4164, 411, 357, 11623, 1849, 39690, 737, 198, 38, 17990, 3301, 318, 5140, 287, 262, 477, 14795, 498, 6947, 36149, 286, 1811, 18180, 13, 22673, 333, 5866, 15623, 1613, 340, 13, 198, 198, 46667, 5612, 198, 4790, 13, 3365, 4, 286, 262, 3265, 286, 25654, 2763, 272, 14668, 283, 2258, 29648, 3160, 287, 10016, 3006, 13, 5514, 2608, 13, 3682, 4, 286, 262, 3265, 3160, 287, 7876, 3006, 11, 290, 326, 318, 262, 4511, 9823, 286, 7876, 3265, 12077, 262, 1440, 45944, 3279, 287, 350, 5945, 64, 25654, 2763, 272, 4783, 13, 383, 3975, 7848, 10969, 617, 286, 262, 12411, 7064, 287, 262, 29648, 13, 1439, 4113, 7498, 287, 262, 3975, 389, 6692, 287, 262, 4025, 1336, 12, 9612, 3975, 13, 198, 198, 38, 17990, 3301, 3701, 3245, 198, 38, 17990, 3301, 3701, 3245, 318, 257, 1966, 35382, 1578, 1829, 5407, 3701, 12700, 1633, 3245, 287, 3794, 973, 1141, 262, 40306, 13718, 16994, 1906, 41931, 13, 402, 17990, 3301, 373, 257, 4590, 12, 260, 1102, 2779, 329, 262, 44519, 3701, 5221, 13, 12168, 6215, 1390, 2258, 1773, 350, 12, 5333, 2619, 39061, 290, 34238, 350, 12, 2548, 12469, 12228, 422, 428, 1633, 3245, 13, 632, 318, 783, 9958, 13, 198, 198, 28489, 88, 198, 38, 17990, 3301, 468, 257, 24005, 1910, 13, 383, 1989, 19531, 1158, 319, 17214, 8769, 5907, 11, 4898, 3323, 11, 290, 16270, 4200, 13, 770, 1989, 8338, 319, 262, 556, 305, 12, 3106, 3773, 13, 43876, 11, 350, 13218, 11, 290, 943, 388, 389, 262, 1388, 14240, 4439, 286, 262, 1989, 13, 943, 388, 286, 428, 1989, 318, 5863, 329, 663, 6938, 13, 35225, 6867, 286, 21219, 290, 279, 13218, 389, 4635, 287, 428, 1989, 13, 1081, 5916, 23089, 290, 18954, 318, 5033, 517, 2968, 11, 17685, 88, 318, 5033, 257, 4025, 5766, 1626, 262, 1957, 3773, 13, 350, 30056, 15893, 389, 5033, 1194, 5766, 287, 262, 3957, 3773, 286, 428, 1989, 13, 198, 198, 11522, 24188, 198, 1722, 583, 262, 2813, 20962, 286, 3794, 11, 402, 17990, 3301, 550, 257, 2472, 3265, 286, 3439, 11, 28011, 11, 286, 543, 1248, 11, 48638, 357, 4349, 4407, 547, 10835, 290, 1596, 11, 27936, 357, 2920, 4407, 547, 12366, 13, 20133, 2174, 718, 812, 373, 513, 11, 47576, 13, 383, 2472, 1271, 286, 4187, 689, 287, 402, 17990, 3301, 373, 1679, 11, 39088, 357, 4761, 13, 1485, 4, 286, 262, 3265, 625, 718, 812, 737, 628, 3794, 21649, 11, 402, 17990, 3301, 550, 257, 3265, 286, 3261, 11, 4521, 18, 13, 43404, 15613, 6740, 4, 286, 262, 3265, 290, 12366, 4764, 7225, 402, 17990, 3301, 468, 281, 2811, 31231, 2494, 286, 7930, 7441, 2440, 621, 262, 2260, 2811, 286, 7863, 13, 20, 48529, 4257, 31231, 318, 7724, 7441, 290, 4048, 31231, 318, 7863, 7225, 554, 402, 17990, 3301, 11, 1105, 4, 286, 262, 3265, 318, 739, 718, 812, 286, 2479, 13, 198, 198, 464, 11831, 5202, 286, 8015, 422, 3687, 7648, 3220, 262, 3265, 286, 262, 1989, 287, 262, 277, 2135, 444, 13, 23413, 11, 281, 25065, 286, 661, 422, 503, 8135, 2265, 15425, 468, 2252, 3220, 262, 3265, 286, 262, 1989, 13, 198, 198, 41183, 198, 38, 17990, 3301, 468, 27913, 25430, 11, 530, 6727, 4165, 11, 530, 9233, 11, 290, 1115, 2440, 9233, 4266, 13, 632, 635, 468, 530, 4152, 13, 198, 198, 38, 1530, 74, 3301, 8882, 8490, 88, 282, 11729, 373, 4920, 379, 402, 17990, 3301, 287, 25325, 13, 632, 4394, 25279, 10902, 287, 14964, 7344, 11, 46178, 11, 3594, 11, 2106, 11, 27876, 11, 1964, 3783, 11, 8876, 11, 11887, 11, 16585, 11, 19473, 11, 10214, 1092, 11, 40565, 1435, 11, 16633, 11, 290, 347, 13, 5377, 13, 198, 198, 38, 17990, 3301, 350, 700, 272, 5282, 5094, 29426, 11, 257, 763, 18123, 864, 9901, 11, 318, 18552, 351, 2688, 28630, 4281, 286, 16038, 29521, 7868, 13, 383, 1524, 468, 1392, 257, 845, 922, 8233, 1700, 13, 632, 1392, 1992, 338, 9064, 1141, 262, 5707, 286, 262, 11445, 82, 290, 373, 2722, 416, 1966, 7123, 5599, 286, 262, 1524, 399, 7058, 67, 12182, 261, 8882, 1045, 13, 198, 198, 50, 1530, 10102, 449, 6231, 5767, 5094, 3334, 3961, 11, 257, 763, 18123, 864, 9901, 11, 318, 18552, 351, 2688, 28630, 4281, 286, 16038, 29521, 7868, 13, 198, 198, 38, 17990, 3301, 8528, 9232, 569, 19325, 282, 11729, 318, 18552, 351, 2688, 28630, 4281, 286, 16038, 29521, 7868, 13, 198, 198, 32, 2839, 7514, 23873, 291, 4152, 373, 4920, 287, 3050, 366, 38, 672, 521, 499, 333, 8621, 71, 7344, 14861, 12280, 23873, 291, 1, 543, 318, 8018, 416, 262, 2688, 28630, 1181, 6745, 286, 6276, 3707, 13, 198, 198, 8001, 198, 464, 1989, 318, 22140, 329, 663, 34590, 482, 430, 1242, 3350, 654, 13, 383, 28229, 3653, 290, 5977, 2032, 3674, 389, 845, 3595, 13, 6046, 3653, 24779, 466, 74, 430, 20316, 422, 606, 290, 3677, 606, 287, 5939, 13, 383 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 11886, 2877, 1978, 11, 1478, 13, 16, 4, 550, 257, 4048, 6641, 263, 351, 645, 5229, 1944, 11, 290, 1679, 13, 17, 4, 547, 1729, 12, 44769, 3922, 13, 2534, 13, 22, 4, 286, 477, 12503, 547, 925, 510, 286, 3925, 11, 290, 1367, 13, 17, 4, 550, 2130, 2877, 3436, 508, 373, 6135, 812, 286, 2479, 393, 4697, 13, 383, 2811, 6641, 2546, 373, 362, 13, 2414, 290, 262, 2811, 1641, 2546, 373, 513, 13, 940, 13, 198, 198, 818, 262, 3240, 262, 3265, 373, 4104, 503, 11, 351, 1679, 13, 22, 4, 739, 262, 2479, 286, 1248, 11, 807, 13, 24, 4, 422, 1248, 284, 1987, 11, 2579, 13, 17, 4, 422, 1679, 284, 5846, 11, 2242, 13, 17, 4, 422, 4153, 284, 5598, 11, 290, 1478, 13, 15, 4, 508, 547, 6135, 812, 286, 2479, 393, 4697, 13, 383, 14288, 2479, 373, 4570, 812, 13, 1114, 790, 1802, 12366, 11, 612, 547, 15143, 13, 18, 10835, 13, 1114, 790, 1802, 12366, 2479, 1248, 290, 625, 11, 612, 547, 1802, 13, 16, 10835, 13, 198, 198, 464, 14288, 3739, 329, 257, 6641, 287, 262, 3240, 373, 720, 3132, 11, 29022, 11, 290, 262, 14288, 3739, 329, 257, 1641, 373, 720, 2548, 11, 28567, 13, 43404, 550, 257, 14288, 3739, 286, 720, 3132, 11, 2919, 16, 9051, 720, 2481, 11, 24, 1415, 329, 12366, 13, 383, 583, 21344, 3739, 329, 262, 3240, 373, 720, 1314, 11, 23, 3134, 13, 7994, 1367, 13, 19, 4, 286, 4172, 290, 1315, 13, 16, 4, 286, 262, 3265, 547, 2174, 262, 8098, 1627, 11, 1390, 1478, 13, 16, 4, 286, 883, 739, 2479, 1248, 290, 1248, 13, 18, 4, 286, 883, 2479, 6135, 393, 625, 13, 198, 198, 10333, 21649, 198, 1722, 286, 262, 21649, 286, 3050, 11, 33, 25642, 4244, 318, 257, 1966, 3240, 287, 520, 13, 48195, 3418, 11, 9266, 287, 262, 1578, 1829, 13, 220, 1081, 286, 262, 4751, 21649, 11, 262, 3265, 286, 262, 3240, 373, 807, 1495, 13, 198, 198, 11297, 3722, 198, 1026, 373, 16560, 287, 15963, 13, 18029, 7052, 284, 33862, 262, 3240, 287, 4343, 290, 262, 2055, 373, 49181, 656, 262, 19651, 3240, 286, 440, 6559, 4244, 13, 198, 198, 10082, 4867, 198, 33, 25642, 4244, 318, 5140, 379, 220, 357, 2091, 13, 2414, 1795, 1959, 11, 532, 4521, 13, 19, 27412, 3865, 737, 198, 198, 4821, 284, 262, 471, 13, 50, 13, 20962, 9840, 11, 262, 3240, 468, 257, 2472, 1989, 286, 837, 477, 1956, 13, 198, 198, 11522, 24188, 198, 198, 1722, 286, 262, 21649, 286, 4751, 11, 612, 547, 807, 1495, 661, 11, 40385, 12503, 11, 290, 17759, 4172, 35173, 287, 262, 3240, 13, 220, 383, 3265, 12109, 373, 38249, 13, 21, 661, 583, 6616, 10591, 357, 13464, 13, 16, 14, 13276, 17, 737, 220, 1318, 547, 39937, 5627, 4991, 379, 281, 2811, 12109, 286, 13539, 13, 22, 583, 6616, 10591, 357, 3559, 13, 20, 14, 13276, 17, 737, 220, 383, 8425, 16029, 286, 262, 3240, 373, 10111, 13, 2931, 4, 2635, 11, 657, 13, 2623, 4, 2619, 393, 5510, 1605, 11, 352, 13, 2481, 7441, 657, 13, 2780, 4, 422, 584, 9558, 11, 290, 657, 13, 5332, 4, 422, 734, 393, 517, 9558, 13, 220, 352, 13, 5824, 4, 286, 262, 3265, 547, 16949, 393, 20496, 286, 597, 3234, 13, 198, 198, 1858, 547, 40385, 12503, 11, 503, 286, 543, 1542, 13, 19, 4, 550, 1751, 739, 262, 2479, 286, 1248, 2877, 351, 606, 11, 8275, 13, 19, 4, 547, 6405, 11886, 2877, 1978, 11, 860, 13, 22, 4, 550, 257, 4048, 6641, 263, 351, 645, 5229, 1944, 11, 290, 678, 13, 22, 4, 547, 1729, 12, 44769, 3922, 13, 1248, 13, 17, 4, 286, 477, 12503, 547, 925, 510, 286, 3925, 11, 290, 1367, 13, 15, 4, 550, 2130, 2877, 3436, 508, 373, 6135, 812, 286, 2479, 393, 4697, 13, 220, 383, 2811, 6641, 2546, 373, 362, 13, 3270, 290, 262, 2811, 1641, 2546, 373, 362, 13, 3829, 13, 198, 198, 818, 262, 3240, 11, 262, 3265, 373, 4104, 503, 11, 351, 1679, 13, 17, 4, 739, 262, 2479, 286, 1248, 11, 642, 13, 22, 4, 422, 1248, 284, 1987, 11, 2681, 13, 24, 4, 422, 1679, 284, 5846, 11, 2608, 13, 18, 4, 422, 4153, 284, 5598, 11, 290, 1478, 13, 24, 4, 508, 547, 6135, 812, 286, 2479, 393, 4697, 13, 220, 383, 14288, 2479, 373, 2319, 812, 13, 1114, 790, 1802, 12366, 11, 612, 547, 10190, 13, 18, 10835, 13, 220, 1114, 790, 1802, 12366, 2479, 1248, 290, 625, 11, 612, 547, 10048, 13, 21, 10835, 13, 198, 198, 464, 14288, 3739, 329, 257, 6641, 287, 262, 3240, 373, 720, 1821, 11, 43704, 11, 290, 262, 14288, 3739, 329, 257, 1641, 373, 720, 3559, 11, 46438, 13, 43404, 550, 257, 14288, 3739, 286, 720, 2327, 11, 25838, 9051, 720, 2624, 11, 21, 2670, 329, 12366, 13, 383, 583, 21344, 3739, 329, 262, 3240, 373, 720, 1238, 11, 20, 3901, 13, 220, 7994, 718, 13, 20, 4, 286, 4172, 290, 767, 13, 23, 4, 286, 262, 3265, 547, 2174, 262, 8098, 1627, 11, 1390, 838, 13, 16, 4, 286, 883, 739, 2479, 1248, 290, 642, 13, 18, 4, 286, 883, 2479, 6135, 393, 625, 13, 198, 198, 19927, 198, 198, 38097, 82, 287, 520, 13, 48195, 3418, 11, 9266, 198, 38097, 82, 287, 9266, 198, 50091, 17737, 27953, 1989, 11, 9266, 198, 14282, 29364, 287, 9266, 198, 16979, 4817, 4113, 595, 27718, 287, 4343, 24428, 8984, 318, 257, 1748, 287, 520, 13, 48195, 3418, 11, 9266, 11, 1578, 1829, 13, 1629, 262, 12131, 21649, 11, 262, 3265, 373, 642, 11, 15801, 13, 1081, 286, 262, 3050, 21649, 11, 262, 3265, 318, 604, 11, 40173, 11, 281, 2620, 286, 39174, 13, 23, 7225, 220, 19579, 16560, 287, 9507, 290, 2627, 257, 1748, 287, 3267, 2813, 13, 198, 198, 10082, 4867, 198, 24428, 8984, 318, 5140, 379, 220, 357, 2091, 13, 21, 38314, 3553, 11, 532, 4521, 13, 24669, 42759, 737, 198, 198, 4821, 284, 262, 471, 13, 50, 13, 20962, 9840, 11, 262, 1748, 468, 257, 2472, 1989, 286, 837, 286, 543, 220, 318, 1956, 290, 220, 357, 15, 13, 2481, 4407, 318 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 284, 32363, 465, 10625, 5633, 392, 644, 318, 26074, 67, 291, 705, 82, 45365, 2063, 3956, 837, 289, 1046, 64, 510, 284, 287, 777, 14800, 4295, 8604, 5633, 439, 26074, 67, 291, 3382, 318, 284, 307, 1364, 284, 2107, 503, 465, 1204, 287, 4167, 764, 4360, 300, 18228, 837, 340, 2331, 837, 468, 584, 4213, 764, 961, 319, 329, 257, 20528, 27185, 379, 1200, 286, 300, 18228, 300, 1868, 271, 300, 1868, 271, 373, 287, 16209, 764, 270, 373, 262, 2756, 1288, 4164, 1276, 1414, 329, 11236, 262, 6078, 1735, 764, 72, 837, 26074, 67, 291, 837, 1752, 2982, 450, 65, 408, 289, 688, 1561, 286, 43486, 3392, 5775, 1058, 673, 531, 326, 257, 582, 815, 12472, 329, 883, 508, 17328, 345, 290, 12012, 883, 508, 4020, 630, 345, 764, 27218, 547, 33826, 705, 82, 2456, 290, 356, 815, 32420, 606, 837, 673, 4114, 1850, 514, 764, 1640, 837, 484, 547, 2456, 286, 1842, 290, 2456, 286, 4167, 764, 4360, 428, 1110, 373, 407, 257, 1110, 329, 4167, 393, 1842, 764, 5661, 373, 257, 1110, 329, 30657, 290, 2910, 764, 417, 4164, 7690, 284, 736, 12334, 391, 290, 465, 1049, 12801, 286, 262, 7840, 275, 799, 680, 15663, 764, 45525, 484, 7384, 616, 1956, 290, 616, 661, 532, 262, 18333, 764, 9930, 31158, 390, 8704, 837, 2923, 616, 3956, 290, 23384, 616, 6621, 764, 8524, 484, 1718, 511, 5428, 290, 5399, 12334, 391, 379, 257, 1295, 1444, 3797, 430, 2788, 764, 8117, 484, 10719, 284, 4117, 616, 1956, 290, 616, 3234, 329, 1683, 764, 4360, 340, 373, 356, 508, 34429, 764, 732, 390, 343, 272, 9818, 290, 11684, 19956, 422, 262, 266, 10119, 290, 6941, 669, 290, 262, 8604, 1863, 262, 7850, 1311, 527, 2714, 319, 1028, 262, 10402, 1566, 674, 9397, 532, 262, 18333, 286, 275, 1142, 33577, 532, 550, 23558, 422, 262, 5093, 290, 9292, 2402, 262, 4472, 764, 8117, 837, 379, 262, 1049, 3344, 286, 3797, 430, 2788, 837, 356, 6572, 606, 764, 1169, 15663, 422, 374, 258, 2004, 837, 965, 776, 66, 306, 2934, 290, 582, 559, 17495, 375, 259, 550, 587, 18577, 764, 568, 783, 356, 4504, 284, 674, 12250, 532, 284, 1288, 4164, 284, 787, 606, 1414, 329, 262, 5938, 484, 550, 1760, 514, 764, 5562, 379, 1551, 373, 644, 257, 13485, 532, 674, 5822, 532, 550, 6149, 764, 258, 2227, 48765, 1072, 422, 1288, 4164, 705, 82, 5822, 269, 1068, 328, 837, 290, 32952, 4831, 2077, 284, 4155, 339, 714, 407, 3538, 1368, 514, 757, 764, 1640, 616, 636, 1312, 550, 1775, 1576, 2910, 290, 1918, 379, 3797, 430, 2788, 284, 938, 257, 10869, 764, 72, 561, 423, 587, 2695, 284, 2652, 379, 1363, 351, 616, 1641, 290, 6133, 342, 837, 616, 2415, 764, 4360, 257, 13485, 373, 674, 5822, 837, 290, 616, 2988, 837, 19768, 1173, 837, 373, 1027, 75, 286, 262, 8372, 36963, 764, 454, 1641, 82, 8604, 1088, 262, 7404, 286, 26074, 67, 2763, 3830, 287, 465, 7386, 523, 618, 339, 1444, 503, 262, 266, 291, 301, 403, 1664, 326, 6076, 837, 257, 1178, 1933, 706, 3797, 430, 2788, 837, 339, 2938, 502, 837, 262, 15876, 286, 262, 4489, 64, 284, 22389, 262, 28596, 764, 568, 356, 1816, 532, 3478, 1450, 290, 6510, 422, 262, 7404, 532, 2957, 416, 3589, 764, 35131, 301, 606, 547, 616, 1115, 2460, 1058, 1225, 84, 446, 532, 7331, 290, 3154, 12, 21754, 1068, 837, 257, 14800, 16491, 837, 15950, 9112, 290, 257, 2081, 1545, 2162, 269, 1071, 4835, 837, 616, 584, 2933, 2894, 15185, 532, 1790, 290, 19217, 837, 1865, 36710, 290, 355, 881, 257, 4958, 351, 262, 9563, 355, 1225, 84, 446, 373, 351, 465, 23272, 2162, 290, 257, 276, 1236, 837, 262, 3223, 12, 29972, 837, 4077, 12, 18834, 5029, 1477, 805, 837, 508, 550, 1752, 587, 616, 11778, 290, 373, 783, 257, 13459, 805, 20990, 284, 616, 2139, 764, 4480, 514, 1816, 262, 30957, 1468, 9298, 10536, 926, 343, 532, 674, 4701, 1752, 2402, 257, 640, 290, 991, 1336, 286, 262, 11501, 286, 257, 582, 508, 468, 1775, 867, 10181, 764, 732, 1364, 262, 7404, 286, 26074, 67, 2763, 351, 663, 8169, 626, 82, 290, 289, 5500, 290, 1364, 1165, 262, 4489, 64, 532, 262, 49240, 1468, 374, 5185, 2156, 326, 616, 17695, 550, 7907, 290, 925, 656, 674, 1641, 82, 1363, 764, 2364, 356, 1816, 351, 262, 1334, 286, 257, 13485, 705, 82, 5428, 532, 2237, 2706, 422, 262, 5366, 286, 390, 8704, 532, 290, 26466, 1288, 4164, 764, 732, 23558, 1327, 290, 3049, 837, 8871, 2769, 656, 262, 5029, 1477, 1956, 290, 837, 878, 339, 2993, 356, 547, 2406, 837, 511, 5822, 837, 269, 1068, 328, 837, 373, 16143, 866, 379, 514, 287, 9961, 422, 262, 13510, 6340, 271, 671, 1088, 465, 1748, 286, 300, 1868, 271, 764, 3010, 293, 705, 82, 6266, 550, 587, 7646, 290, 1027, 75, 3971, 1940, 25771, 514, 3940, 606, 284, 262, 3850, 764, 8117, 373, 645, 2897, 286, 4167, 422, 3971, 1940, 837, 645, 19450, 8478, 2714, 503, 290, 645, 2863, 286, 1128, 30227, 764, 1662, 1865, 764, 1662, 1566, 356, 550, 23354, 674, 835, 832, 262, 1748, 17435, 290, 22999, 262, 7777, 326, 16566, 262, 1388, 4675, 764, 72, 716, 281, 1468, 582, 783, 290, 1312, 423, 587, 287, 867, 10181, 290, 867, 11418, 837, 475, 3805, 477, 262, 21343, 1312, 423, 1775, 837, 1312, 481, 1239, 651, 973, 284, 262, 26557, 290, 24691, 329, 17703, 422, 262, 10218, 764, 1169, 11858, 6611, 511, 19997, 1039, 290, 262, 410, 18354, 1678, 6594, 6071, 284, 3853, 508, 318, 284, 307, 27029, 290, 1085, 606, 284, 1188, 41911, 837, 290, 1450, 14042, 290, 466, 3344, 329, 262, 11060, 286, 13476, 393, 5129, 393, 15393, 764, 25907, 340, 318, 262, 1751, 290, 262, 1466, 508, 8659, 981, 356, 1450, 3355, 322, 287, 2910, 764, 568, 340, 373, 326, 1110, 764, 18674, 590, 1244, 2128, 257, 3734, 1517, 284, 3512, 618, 345, 1302, 625, 262, 12296, 286, 534, 3956, 290, 8508, 262, 7523, 286, 534, 898, 1363, 9482, 764, 4360, 766, 703, 345, 1254, 618, 340, 318, 2130, 2073, 705, 82, 3956, 837, 3367, 393, 4957, 508, 7363, 379, 534, 3625, 837, 511, 1363, 9482, 14590, 345, 1302, 6716, 837 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2197, 339, 550, 607, 1804, 340, 764, 35499, 6517, 373, 477, 880, 290, 922, 837, 475, 428, 3516, 373, 5033, 31464, 895, 847, 278, 764, 273, 373, 326, 780, 465, 1588, 1767, 4838, 572, 262, 1334, 286, 262, 995, 422, 1570, 1566, 673, 691, 2497, 4608, 286, 7721, 290, 2951, 523, 4171, 484, 714, 36580, 1096, 5633, 45380, 503, 286, 340, 5145, 7091, 30819, 1417, 5223, 764, 15506, 655, 780, 1312, 466, 299, 470, 24961, 857, 299, 470, 1612, 1312, 705, 76, 44865, 546, 9003, 2324, 11292, 764, 270, 705, 82, 407, 588, 1312, 705, 76, 5762, 616, 8187, 764, 10148, 258, 20821, 764, 15506, 345, 1244, 355, 880, 307, 764, 10148, 7091, 20821, 736, 764, 15506, 644, 705, 82, 2642, 351, 616, 8242, 5633, 10148, 15506, 883, 4171, 12581, 290, 10147, 804, 2048, 10411, 284, 257, 8187, 764, 14108, 4190, 705, 82, 772, 29779, 510, 1864, 284, 2422, 842, 82, 764, 10148, 15506, 1201, 618, 750, 345, 4654, 262, 6977, 1644, 5633, 10148, 15506, 13779, 837, 267, 6, 1102, 10076, 764, 5305, 13779, 12, 10148, 339, 43423, 287, 257, 8033, 290, 2714, 465, 2832, 510, 656, 257, 256, 13, 7559, 640, 503, 764, 1616, 705, 82, 407, 3197, 3241, 284, 6731, 416, 4330, 764, 10148, 1659, 1781, 339, 373, 826, 837, 475, 465, 2912, 546, 607, 8242, 991, 336, 2150, 764, 10919, 550, 300, 83, 13, 951, 13, 288, 707, 1559, 587, 3612, 351, 465, 7165, 1410, 5633, 10989, 7302, 1590, 764, 10989, 7302, 1590, 764, 27740, 1154, 764, 27740, 1154, 5633, 38006, 1008, 18484, 866, 379, 607, 351, 257, 2063, 8212, 5391, 11347, 530, 19353, 764, 15506, 1282, 319, 764, 10148, 15506, 24926, 5633, 10148, 38006, 1008, 705, 82, 8212, 4104, 1566, 262, 1218, 5391, 1154, 29779, 656, 465, 584, 19353, 764, 15506, 356, 705, 260, 1016, 284, 651, 345, 257, 27487, 764, 10148, 74, 776, 20042, 3940, 837, 407, 326, 673, 550, 257, 3572, 1201, 339, 561, 299, 470, 1309, 467, 286, 607, 1021, 764, 14363, 34264, 16770, 550, 2252, 36872, 607, 5236, 764, 19532, 25706, 1008, 27582, 351, 2506, 2073, 1088, 262, 40733, 837, 475, 339, 7448, 465, 35164, 329, 607, 764, 1662, 783, 764, 258, 2900, 326, 2933, 680, 20024, 319, 607, 837, 1336, 1176, 837, 355, 339, 17901, 607, 3812, 262, 18012, 6979, 6128, 764, 15506, 1309, 705, 82, 923, 351, 262, 2422, 6131, 764, 270, 705, 82, 1392, 284, 467, 764, 10148, 15506, 475, 1312, 460, 470, 12, 10148, 7559, 3774, 502, 764, 71, 27532, 764, 10148, 258, 781, 9484, 832, 257, 19127, 286, 47270, 18473, 284, 660, 11668, 351, 5887, 9735, 2832, 764, 3919, 5874, 1341, 27428, 262, 4417, 286, 262, 3359, 329, 428, 582, 764, 15506, 345, 761, 257, 1263, 530, 764, 23442, 257, 3124, 12741, 5633, 10148, 74, 776, 20042, 45320, 262, 3420, 837, 788, 16542, 5223, 284, 262, 13203, 764, 15506, 1521, 1265, 502, 5633, 72, 705, 76, 257, 6977, 43799, 837, 3505, 5633, 8043, 19617, 318, 3675, 502, 764, 10148, 15506, 645, 12741, 764, 10148, 258, 14274, 46288, 257, 277, 37533, 544, 6131, 837, 11112, 698, 1723, 12, 72, 750, 308, 2224, 88, 275, 615, 3699, 3918, 764, 14363, 2951, 1278, 600, 276, 351, 38625, 764, 15506, 1201, 345, 466, 299, 470, 1337, 837, 703, 546, 428, 530, 5633, 993, 837, 523, 11398, 318, 299, 470, 534, 3124, 706, 477, 5633, 10148, 64, 18416, 8212, 2826, 351, 607, 11914, 764, 372, 15153, 550, 17901, 607, 503, 588, 428, 878, 837, 475, 9735, 550, 299, 470, 3947, 2063, 355, 17774, 351, 606, 764, 15506, 407, 616, 717, 3572, 837, 645, 764, 10148, 16670, 340, 550, 21892, 12779, 355, 257, 33826, 5356, 6979, 329, 607, 1995, 764, 372, 3595, 2802, 1239, 550, 2407, 7247, 607, 308, 13, 72, 764, 73, 1531, 4957, 764, 37689, 8073, 1561, 16857, 2900, 284, 6979, 4394, 329, 257, 787, 2502, 393, 3124, 19617, 12, 273, 42851, 284, 4654, 262, 1641, 3315, 3357, 764, 74, 776, 20042, 550, 4499, 284, 8212, 837, 18666, 290, 787, 607, 898, 7747, 1752, 673, 6807, 503, 262, 3420, 764, 7091, 373, 655, 1165, 1180, 837, 257, 1103, 1488, 10809, 287, 511, 15925, 764, 15506, 703, 546, 428, 837, 788, 5633, 10148, 38006, 1008, 3804, 607, 257, 307, 10045, 21978, 284, 660, 351, 257, 1263, 2612, 18684, 1312, 1842, 308, 2224, 88, 764, 15506, 1365, 837, 502, 259, 266, 2013, 364, 1349, 4224, 417, 5633, 10148, 1820, 1569, 282, 2005, 1616, 5633, 74, 776, 20042, 7128, 22739, 837, 788, 13818, 355, 673, 1509, 46647, 262, 6131, 422, 465, 1021, 764, 258, 27762, 2004, 262, 7621, 572, 290, 4624, 340, 319, 262, 3753, 416, 262, 5003, 7881, 764, 64, 665, 24297, 22634, 1302, 284, 8279, 13970, 607, 764, 38006, 1008, 4251, 1613, 837, 17286, 278, 262, 3869, 764, 258, 1418, 22393, 257, 294, 506, 15050, 351, 257, 6701, 6098, 10735, 20024, 10938, 290, 38425, 340, 1088, 479, 776, 20042, 705, 82, 7393, 764, 10823, 278, 736, 319, 465, 18728, 837, 339, 4104, 465, 2832, 764, 15506, 11752, 837, 10194, 837, 326, 857, 340, 764, 10148, 258, 26575, 9091, 257, 4772, 837, 23256, 257, 5166, 286, 12336, 1027, 33173, 290, 15360, 606, 287, 2166, 286, 607, 1986, 764, 15506, 765, 777, 837, 1165, 5633, 1820, 2190, 764, 10148, 15506, 3863, 1306, 3187, 764, 10148, 16184, 16406, 257, 2218, 6083, 1451, 837, 339, 458, 38333, 340, 319, 607, 1182, 764, 15506, 393, 703, 546, 257, 6877, 764, 3919, 5633, 10148, 38006, 1008, 6928, 340, 319, 262, 8011, 764, 6651, 2759, 33838, 10813, 329, 257, 2793, 3359, 837, 339, 2540, 41228, 3709, 319, 262, 3753, 981, 262, 21120, 28077, 606, 510, 764, 258, 25711, 257, 467, 14346, 38916, 1010, 4936, 284, 262, 284, 660, 764, 64, 28685, 6099, 2876, 259, 1994, 6333, 288, 22393, 422, 262, 5412, 764, 15542, 9210, 286, 10773, 1754, 505, 11311, 38927, 422, 479, 776, 20042, 705, 82, 6131, 764, 272, 6439, 848, 43908, 284, 1204, 1626, 607, 837, 290, 673, 5954, 257, 10000, 36784, 1336, 286, 29707, 422, 262, 3359, 3355, 764, 38006, 1008, 705, 82, 4772, 1126, 839, 764, 7091, 5710, 262, 7309, 3112, 1339, 319, 262, 3753, 764, 15506, 19834, 5482, 65, 329, 345, 764, 10148, 258, 20945, 607, 351, 1194, 8212 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 8524, 339, 6235, 284, 262, 1048, 764, 9930, 714, 766, 683, 739, 262, 7696, 475, 339, 373, 503, 286, 6504, 286, 262, 1644, 319, 1353, 286, 262, 7696, 290, 262, 3790, 510, 287, 262, 15392, 764, 25991, 356, 815, 9828, 606, 837, 531, 2153, 22699, 764, 14894, 1877, 764, 361, 356, 1302, 510, 837, 356, 1244, 651, 2823, 764, 9930, 260, 477, 7616, 3772, 510, 612, 764, 9930, 33838, 1740, 2793, 290, 3767, 284, 2342, 355, 262, 1048, 19952, 510, 739, 262, 17748, 286, 262, 7696, 1566, 339, 4251, 257, 583, 354, 319, 530, 286, 262, 10017, 1017, 8937, 764, 1169, 1048, 3181, 503, 257, 11575, 422, 257, 2353, 319, 465, 736, 764, 19052, 14346, 393, 2153, 22699, 714, 5409, 644, 284, 466, 837, 262, 1048, 6294, 764, 8310, 962, 8018, 262, 8469, 286, 281, 285, 1433, 764, 1169, 2989, 2971, 286, 262, 15392, 23273, 837, 10340, 286, 262, 5405, 12047, 837, 31133, 278, 287, 262, 50073, 1657, 286, 262, 41015, 30239, 764, 1169, 15392, 45615, 663, 3113, 290, 13663, 1497, 764, 259, 1194, 2589, 262, 30239, 4251, 262, 10150, 4417, 290, 340, 1165, 1816, 503, 351, 257, 465, 12215, 2128, 764, 1169, 7850, 373, 757, 3223, 2845, 329, 262, 43196, 7588, 286, 262, 15392, 543, 373, 845, 1029, 572, 262, 7850, 287, 262, 5253, 764, 11043, 77, 837, 14346, 2982, 262, 4039, 28946, 764, 1169, 5243, 8469, 992, 837, 2855, 88, 837, 345, 6510, 1392, 1165, 881, 2223, 866, 612, 764, 732, 1392, 5876, 477, 826, 837, 625, 764, 20721, 477, 625, 428, 17495, 321, 2817, 25762, 290, 530, 286, 514, 1392, 257, 1310, 14428, 422, 340, 764, 1169, 15392, 48836, 3077, 572, 656, 262, 11854, 837, 663, 43196, 7588, 11780, 351, 262, 5788, 287, 262, 2042, 1108, 764, 8524, 477, 373, 5897, 764, 8310, 962, 714, 3285, 2153, 22699, 12704, 1306, 284, 683, 287, 262, 11854, 764, 258, 29650, 607, 1021, 290, 673, 29650, 736, 764, 320, 477, 826, 837, 673, 25029, 764, 12758, 286, 257, 835, 284, 3608, 572, 837, 25029, 14346, 764, 1169, 1049, 299, 5109, 2088, 7696, 1368, 837, 673, 531, 764, 1525, 262, 1644, 393, 416, 262, 35573, 5633, 8310, 962, 3088, 284, 9707, 764, 64, 5584, 8848, 374, 11137, 287, 262, 2042, 7850, 284, 511, 1364, 764, 42380, 1644, 764, 956, 2406, 510, 262, 7850, 416, 465, 13428, 837, 25839, 531, 510, 319, 262, 7696, 764, 27004, 764, 956, 5291, 465, 7588, 572, 837, 531, 2855, 88, 764, 1169, 5243, 5158, 837, 345, 319, 262, 7696, 764, 732, 2982, 345, 423, 257, 1917, 764, 5832, 1392, 326, 826, 764, 1136, 262, 4928, 764, 1481, 416, 837, 2855, 88, 837, 531, 262, 5243, 764, 1169, 1755, 373, 35162, 416, 262, 491, 49908, 290, 262, 16506, 326, 1625, 503, 286, 262, 5584, 8848, 355, 257, 5462, 805, 374, 4335, 262, 1290, 1735, 286, 262, 7696, 290, 262, 4928, 16866, 351, 257, 1588, 6203, 4572, 2485, 764, 8310, 962, 5954, 2153, 22699, 2793, 656, 262, 1660, 837, 465, 3211, 1088, 607, 12450, 837, 2111, 284, 1805, 607, 764, 9895, 286, 10017, 22928, 656, 262, 1660, 1088, 606, 355, 262, 16043, 19551, 656, 262, 1468, 7696, 7216, 3124, 5901, 38306, 19493, 1029, 656, 262, 1633, 764, 1169, 16043, 2277, 656, 262, 7815, 837, 1341, 36613, 572, 262, 4417, 286, 262, 7696, 35852, 837, 290, 20755, 319, 262, 4324, 5405, 286, 530, 286, 262, 5006, 351, 257, 48883, 286, 5405, 15360, 287, 262, 1633, 764, 1169, 4572, 2485, 373, 788, 10574, 837, 262, 491, 11736, 1657, 3724, 290, 262, 7838, 5025, 39915, 1028, 262, 2054, 20655, 510, 290, 866, 262, 7850, 764, 8310, 962, 37609, 262, 6639, 3101, 28192, 286, 18750, 14271, 764, 64, 1402, 2046, 550, 587, 2067, 379, 262, 31853, 671, 290, 262, 6056, 16825, 319, 262, 4928, 550, 257, 3234, 286, 2046, 14281, 3812, 262, 6056, 764, 8310, 962, 2900, 284, 2153, 22699, 837, 465, 1986, 542, 9741, 764, 72, 18548, 1975, 326, 484, 750, 326, 764, 5661, 318, 429, 257, 1175, 764, 1169, 10839, 2029, 606, 319, 262, 7696, 2540, 757, 764, 5562, 297, 886, 428, 2068, 837, 1312, 731, 11693, 837, 531, 25839, 764, 9930, 1654, 1234, 617, 1085, 287, 612, 837, 531, 2855, 88, 764, 1169, 5584, 8848, 3113, 374, 11137, 503, 287, 262, 2042, 1108, 286, 262, 7850, 764, 1169, 5243, 5158, 764, 22474, 1972, 3492, 284, 10484, 606, 764, 3137, 788, 257, 3236, 11278, 422, 739, 262, 7850, 4417, 319, 262, 6697, 1735, 286, 262, 7696, 1908, 257, 4903, 893, 263, 286, 1660, 15334, 3625, 656, 262, 1633, 764, 8310, 962, 290, 2153, 22699, 2936, 262, 3833, 286, 262, 11975, 764, 1169, 22870, 290, 6290, 422, 262, 11278, 1625, 866, 477, 625, 262, 7696, 290, 262, 6506, 510, 2029, 764, 76, 9460, 494, 5017, 607, 1986, 290, 3830, 866, 319, 607, 1735, 287, 262, 1660, 837, 607, 1986, 8523, 2029, 262, 4417, 764, 8310, 962, 17157, 625, 607, 837, 7121, 607, 7405, 2651, 290, 925, 607, 1650, 510, 837, 284, 651, 607, 1182, 290, 7393, 2029, 262, 1660, 764, 320, 7926, 837, 2153, 22699, 837, 339, 25029, 764, 7091, 3114, 379, 683, 837, 262, 7850, 1660, 1937, 868, 1973, 607, 19353, 764, 72, 42547, 892, 340, 561, 307, 588, 428, 764, 5832, 260, 1016, 284, 651, 503, 286, 428, 837, 25029, 14346, 764, 258, 3332, 866, 287, 262, 1660, 13970, 607, 764, 7091, 27355, 3077, 257, 3155, 286, 1661, 290, 788, 373, 10574, 757, 764, 1169, 5243, 5158, 757, 764, 37210, 257, 1310, 6590, 287, 612, 764, 43669, 764, 5832, 6510, 1365, 466, 534, 1517, 837, 531, 2855, 88, 764, 76, 9460, 494, 3114, 379, 14346, 764, 258, 714, 655, 787, 503, 607, 3033, 257, 1178, 8331, 422, 465, 898, 1986, 764, 1169, 1660, 1234, 503, 262, 2046, 319, 262, 6056, 764, 7091, 25029, 837, 607, 1767, 17275, 764, 1169, 4572, 2485, 2540, 757, 764, 8310, 962, 2714, 2153, 22699, 1969, 837, 1067, 324, 1359, 607, 1182, 351, 465, 5101, 837, 5291, 1111, 511, 6665, 1969, 284, 262, 1660, 837, 351, 511, 6698, 655, 1029, 1576, 284, 18044, 764, 354, 2419, 286, 10017, 5710, 1088, 606, 757, 764, 1169, 38306, 13112, 510, 422, 262, 7696, 355, 262, 4572, 2485, 6294, 491, 11736, 706, 491 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2518, 6450, 882, 764, 22850, 561, 339, 2291, 465, 21120, 475, 4844, 286, 465, 584, 2460, 5633, 392, 1521, 281, 8343, 1438, 5633, 2978, 268, 714, 1833, 326, 5527, 446, 1244, 407, 765, 597, 12954, 339, 11897, 284, 1895, 465, 2614, 1321, 837, 475, 262, 3891, 286, 465, 2460, 547, 6189, 3991, 355, 880, 764, 292, 932, 268, 1100, 832, 262, 1351, 286, 2460, 837, 262, 4190, 319, 262, 736, 286, 607, 7393, 6204, 510, 764, 10197, 4785, 837, 262, 2104, 1351, 286, 2460, 3017, 5205, 326, 17929, 422, 33544, 33390, 284, 3675, 262, 14005, 286, 374, 11429, 1272, 764, 392, 981, 262, 2939, 286, 872, 2577, 1350, 319, 5527, 1371, 7034, 379, 717, 3947, 23585, 1576, 837, 262, 1664, 339, 4030, 287, 465, 2691, 995, 12008, 932, 268, 837, 290, 673, 550, 407, 772, 1100, 1997, 339, 550, 1682, 3194, 319, 465, 2443, 393, 287, 597, 286, 465, 2628, 764, 3911, 286, 932, 268, 2227, 284, 1057, 503, 286, 262, 2119, 290, 1302, 739, 257, 629, 1940, 278, 14643, 284, 13502, 262, 1226, 400, 286, 644, 673, 373, 4379, 572, 607, 837, 475, 673, 9658, 287, 607, 5118, 290, 28384, 832, 5052, 392, 73, 333, 893, 1204, 2427, 764, 7091, 4030, 12264, 837, 290, 788, 1100, 5443, 290, 5443, 1566, 607, 2000, 26843, 290, 607, 1767, 14682, 477, 625, 764, 259, 1194, 1281, 837, 300, 14795, 17, 8340, 550, 4481, 611, 2687, 468, 597, 3024, 5861, 837, 616, 5127, 318, 1972, 257, 1310, 7888, 764, 392, 611, 345, 765, 329, 502, 284, 1910, 534, 3404, 837, 3387, 3758, 502, 257, 3275, 764, 4360, 881, 4785, 837, 5052, 392, 21871, 550, 16476, 1058, 1244, 423, 1223, 329, 345, 764, 896, 3024, 764, 2978, 268, 373, 32816, 764, 271, 326, 644, 339, 373, 11046, 4291, 262, 3644, 5633, 261, 262, 1281, 422, 300, 14795, 17, 8340, 837, 1194, 582, 550, 2087, 3387, 837, 5052, 392, 21871, 764, 13, 13, 1169, 3404, 345, 3417, 262, 584, 1755, 925, 502, 3024, 5145, 5562, 318, 530, 3734, 1517, 345, 1392, 764, 2978, 268, 2936, 256, 4420, 477, 625, 764, 1169, 2910, 287, 607, 32375, 550, 12912, 764, 7091, 714, 407, 1445, 764, 7091, 7342, 290, 3088, 284, 892, 290, 2936, 44416, 284, 262, 3644, 5118, 351, 14836, 11760, 326, 561, 407, 2650, 607, 764, 28177, 1028, 607, 481, 837, 673, 4030, 3555, 764, 2978, 268, 4030, 2045, 379, 607, 14850, 4286, 764, 746, 2577, 1350, 5145, 22850, 318, 872, 78, 1765, 274, 4286, 319, 465, 7034, 5633, 7091, 20436, 515, 736, 284, 5052, 392, 73, 333, 893, 2443, 290, 28384, 319, 5205, 764, 1169, 717, 1178, 5205, 547, 286, 584, 1466, 764, 9930, 3114, 588, 26042, 764, 392, 788, 932, 268, 2497, 262, 5986, 286, 872, 2577, 1350, 290, 1231, 20060, 340, 837, 673, 550, 275, 5102, 607, 6891, 25152, 319, 262, 5743, 286, 262, 6915, 837, 7216, 5814, 8122, 290, 39991, 286, 5405, 477, 625, 607, 14779, 290, 4291, 262, 4314, 764, 8117, 547, 5986, 286, 872, 2577, 1350, 837, 475, 340, 373, 257, 872, 2577, 1350, 326, 932, 268, 561, 407, 423, 8018, 547, 340, 407, 329, 262, 9208, 4082, 4102, 319, 607, 14850, 19847, 764, 746, 2577, 1350, 764, 372, 872, 2577, 1350, 764, 2978, 268, 3088, 284, 1210, 1497, 475, 714, 407, 764, 7091, 4251, 607, 5101, 503, 1876, 49605, 284, 3002, 290, 1805, 262, 1310, 2576, 673, 550, 275, 2265, 704, 523, 867, 812, 2084, 837, 475, 262, 2939, 9658, 29122, 276, 319, 262, 3159, 290, 1582, 5286, 1973, 607, 5761, 837, 698, 14924, 340, 764, 2978, 268, 2982, 2130, 14788, 764, 7091, 3088, 284, 4485, 290, 1057, 284, 1037, 262, 2415, 508, 373, 287, 5876, 837, 475, 788, 673, 373, 9008, 5223, 287, 262, 1182, 290, 340, 5938, 837, 290, 673, 2993, 673, 373, 262, 2415, 764, 7091, 25421, 625, 290, 625, 757, 1566, 673, 2936, 1223, 5814, 764, 2978, 268, 5025, 14788, 764, 7091, 12070, 607, 1021, 1028, 607, 22645, 290, 6939, 326, 262, 23125, 373, 607, 2910, 837, 290, 257, 3809, 2641, 286, 607, 25421, 329, 517, 2910, 764, 7091, 6204, 510, 290, 31862, 607, 5101, 837, 2048, 355, 611, 673, 547, 1458, 889, 257, 1200, 764, 7091, 2622, 284, 892, 290, 284, 892, 837, 673, 2622, 284, 651, 1630, 286, 5223, 837, 475, 329, 262, 717, 640, 287, 607, 1204, 673, 550, 645, 2126, 703, 764, 2435, 750, 407, 3234, 1613, 837, 4249, 750, 340, 36296, 6364, 588, 257, 47855, 1468, 277, 14272, 316, 764, 270, 2391, 2626, 477, 23082, 764, 2435, 5633, 1640, 340, 284, 1612, 1997, 284, 514, 17991, 837, 3675, 262, 4634, 286, 262, 4252, 290, 262, 6225, 286, 262, 11845, 837, 356, 1276, 307, 3910, 286, 663, 6427, 764, 2978, 268, 2391, 714, 407, 24772, 326, 673, 373, 5055, 994, 837, 16143, 379, 428, 764, 15596, 935, 673, 3214, 284, 607, 14475, 290, 25029, 837, 11752, 3387, 837, 5770, 837, 1037, 502, 764, 83, 4127, 4966, 866, 607, 25839, 290, 264, 1662, 308, 7474, 422, 607, 18216, 41408, 290, 837, 355, 673, 21122, 607, 1986, 319, 607, 23179, 837, 673, 29263, 607, 1182, 319, 262, 4314, 290, 41108, 510, 319, 607, 1735, 290, 750, 407, 1445, 1566, 607, 2951, 29742, 4423, 764, 8091, 30050, 287, 2166, 286, 607, 4838, 29708, 2340, 1566, 673, 2921, 656, 262, 25488, 33919, 286, 1657, 290, 7838, 290, 2356, 290, 5025, 3612, 379, 477, 764, 43582, 860, 932, 641, 2685, 3072, 17379, 445, 607, 21693, 764, 7091, 42547, 760, 810, 673, 373, 379, 717, 837, 290, 607, 2951, 547, 2048, 37327, 4423, 764, 7091, 11686, 510, 284, 257, 5055, 2292, 1165, 2952, 837, 23256, 530, 286, 262, 1492, 33964, 287, 5527, 1371, 2050, 284, 1394, 5223, 422, 30792, 764, 372, 6066, 547, 474, 11137, 764, 37814, 2936, 19558, 1360, 2162, 772, 262, 1492, 7442, 3947, 8756, 764, 3003, 716, 1312, 5633, 8524, 262, 23258, 2277, 607, 1327, 764, 11195, 764, 746, 2577, 1350, 764, 2978, 268, 2982, 5223, 14788, 757, 764, 1219, 837, 645, 837, 645, 837, 645, 837, 645, 5145, 29688, 1309, 502, 307, 28368, 764, 8727, 714, 307, 4585, 5633, 7091, 42547, 765, 284, 1561, 284, 5527, 446, 764, 7091, 2227, 284, 1494, 262, 31030, 764, 67, 1501 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 541, 2879, 5581, 49798, 198, 36376, 661, 198, 17140, 11950, 8735, 37851, 464, 8858, 10312, 30426, 40886, 318, 20325, 13844, 11, 287, 27974, 2381, 26221, 306, 357, 49022, 21076, 25, 311, 10116, 1503, 3539, 828, 19562, 11, 287, 2932, 13, 198, 198, 45139, 10336, 287, 19562, 198, 33560, 2995, 287, 19562, 1273, 273, 29090, 77, 318, 257, 7850, 287, 10710, 13, 198, 198, 19927, 198, 198, 49, 1191, 286, 10710, 1212, 318, 257, 1351, 286, 21743, 317, 5610, 6832, 287, 3687, 5648, 16575, 684, 10695, 11, 8838, 13, 198, 198, 818, 8838, 11, 262, 3381, 5610, 2615, 10229, 284, 257, 2615, 393, 584, 4645, 8720, 11032, 355, 852, 286, 366, 20887, 27070, 393, 9566, 1393, 1911, 21743, 317, 8573, 389, 883, 3177, 284, 307, 366, 11249, 654, 286, 2260, 393, 3230, 6817, 11, 2035, 27070, 393, 9566, 11, 393, 3734, 1310, 12, 282, 4400, 6096, 286, 617, 1948, 2278, 11, 3918, 393, 2615, 2099, 526, 7343, 278, 373, 9258, 416, 257, 8287, 287, 262, 8329, 290, 12946, 21913, 357, 47230, 8, 2191, 21709, 11, 290, 262, 1459, 10828, 4308, 329, 13487, 318, 262, 21913, 357, 43, 6347, 49308, 290, 23702, 38662, 8, 357, 47230, 8, 2191, 8309, 13, 383, 4934, 329, 13487, 24013, 351, 30426, 8838, 11, 281, 4640, 4086, 286, 262, 11905, 5070, 11, 543, 19552, 428, 2597, 422, 262, 11905, 7712, 2732, 287, 10249, 13, 4874, 5610, 11, 6049, 8733, 389, 10893, 319, 262, 19008, 3142, 284, 257, 2615, 338, 4645, 393, 663, 43500, 654, 13, 406, 6347, 2615, 8281, 1276, 307, 6492, 422, 1957, 4773, 3161, 284, 597, 35635, 284, 884, 257, 4645, 13, 1318, 389, 6702, 6298, 11, 7029, 5610, 6832, 287, 8838, 11, 286, 543, 1088, 807, 4, 357, 11246, 513, 11, 7410, 8, 389, 21743, 317, 13, 198, 198, 464, 6745, 1989, 286, 3687, 5648, 16575, 684, 10695, 8698, 837, 290, 468, 257, 3265, 286, 1088, 14436, 11, 9879, 13, 1318, 389, 1315, 21743, 317, 5610, 6832, 287, 262, 1989, 13, 2312, 2291, 1811, 2499, 416, 262, 23995, 12, 3106, 7068, 3271, 11582, 11, 1390, 262, 783, 12, 67, 567, 13758, 28423, 1140, 11312, 11, 290, 734, 2739, 4489, 292, 416, 10009, 32425, 13, 1318, 389, 1811, 21743, 317, 5610, 14422, 290, 1499, 7777, 11, 351, 262, 13325, 852, 25654, 322, 494, 11312, 11, 543, 9667, 11476, 284, 262, 1467, 400, 4289, 13, 198, 198, 43, 6347, 6832, 220, 198, 198, 91, 92, 198, 198, 16130, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 25234, 5648, 16575, 684, 10695, 198, 27313, 317, 5610, 6832, 287, 3687, 5648, 16575, 684, 10695, 20630, 273, 862, 2536, 9101, 3020, 268, 318, 257, 7850, 287, 10710, 13, 198, 198, 19927, 198, 198, 49, 1191, 286, 10710, 1925, 2778, 71, 560, 37070, 2127, 672, 12104, 32670, 318, 281, 3942, 14971, 290, 10239, 286, 8411, 422, 5311, 363, 10312, 36861, 41941, 4757, 34272, 1387, 13, 679, 2067, 465, 1964, 3451, 422, 3942, 2351, 3162, 13, 198, 1544, 373, 10239, 286, 30356, 10006, 810, 339, 7997, 3184, 380, 12, 33, 461, 4352, 72, 5117, 333, 28280, 329, 1115, 2846, 13, 679, 635, 4983, 355, 20384, 4139, 287, 45301, 5070, 13, 2293, 852, 6699, 7846, 416, 3942, 2351, 3162, 329, 3611, 24473, 287, 1946, 11, 339, 5399, 36861, 449, 504, 43573, 20259, 3615, 1528, 878, 1946, 2276, 3071, 290, 7675, 24163, 422, 5311, 363, 10312, 28280, 13, 198, 198, 20457, 1204, 198, 5308, 71, 2127, 672, 12104, 32670, 373, 4642, 287, 22982, 945, 64, 290, 339, 318, 3367, 286, 18319, 609, 2778, 71, 560, 4849, 993, 44008, 508, 373, 257, 1966, 20384, 5342, 286, 45301, 13, 679, 14448, 284, 257, 41179, 397, 1641, 290, 318, 262, 31845, 286, 2739, 41179, 397, 12819, 343, 377, 468, 272, 286, 3184, 380, 17466, 4352, 7745, 5117, 333, 357, 263, 301, 4514, 19716, 306, 1181, 737, 1544, 4983, 355, 4139, 329, 5800, 290, 8987, 1222, 4139, 286, 16038, 7868, 287, 45301, 5070, 13, 679, 9713, 379, 978, 328, 283, 71, 3765, 2059, 13, 198, 198, 17784, 263, 198, 5308, 71, 2127, 672, 12104, 32670, 373, 257, 4986, 287, 1439, 12, 21569, 3162, 4606, 357, 32, 2149, 34, 8, 422, 4343, 284, 3050, 13, 198, 198, 1544, 373, 262, 1992, 286, 262, 45301, 25945, 3162, 4606, 422, 3050, 284, 2211, 13, 198, 198, 19927, 198, 198, 36376, 661, 198, 30821, 7045, 198, 43, 482, 449, 504, 43573, 20259, 3615, 7602, 198, 8061, 422, 5311, 363, 10312, 4783, 198, 39866, 5106, 422, 3208, 2616, 198, 25341, 286, 262, 45301, 30356, 10006, 198, 1433, 400, 36861, 41941, 1866, 198, 43, 482, 41941, 1866, 422, 45301, 198, 8061, 422, 22982, 945, 64, 4783, 198, 2348, 328, 283, 71, 3765, 2059, 31333, 198, 1129, 3365, 27244, 198, 1558, 400, 36861, 41941, 1866, 198, 30821, 2351, 3162, 7602, 422, 45301, 7676, 2536, 9101, 3020, 268, 318, 257, 7850, 287, 10710, 13, 198, 198, 19927, 198, 198, 49, 1191, 286, 12612, 3876, 3418, 464, 3050, 6342, 12533, 5438, 1718, 1295, 422, 362, 3267, 284, 1596, 3267, 3050, 11, 287, 6342, 1033, 78, 4347, 68, 390, 18535, 64, 21718, 13, 198, 198, 1890, 3050, 11, 262, 7505, 286, 262, 2041, 17127, 373, 366, 464, 33832, 12251, 362, 25, 27930, 11372, 17268, 290, 30794, 526, 198, 198, 15005, 2733, 198, 198, 35027, 5006, 220, 628, 26686, 317, 22, 198, 26686, 371, 23, 23688, 1082, 198, 38881, 30462, 7963, 198, 19339, 1395, 18, 198, 35398, 12761, 78, 198, 35398, 6790, 12151, 198, 35398, 6472, 2736, 31537, 1891, 198, 35398, 13117, 198, 15792, 305, 26689, 77, 327, 19, 2873, 198, 15792, 305, 26689, 77, 327, 20, 1777, 417, 2135, 198, 15792, 305, 26689, 77, 17400, 19, 198, 23502, 642, 2079, 7963, 46, 198, 23502, 642, 2079, 14719, 317, 525, 8326, 198, 8092, 17061, 3563, 198, 8092, 337, 14378, 78, 13182, 2202, 5139, 198, 20059, 21406, 29481, 198, 47962, 18993, 15062, 431, 357, 22030, 8886, 8, 198, 47962, 1312, 940, 198, 47962, 220, 844, 1238, 198, 35801, 5675, 39476, 357, 22030, 8886, 8, 198, 17210, 385, 3180, 198, 27578, 4319, 5799, 311, 198, 27578, 4319, 5799, 37632, 628, 337, 6005, 7246, 17113, 17483, 44126, 13122, 4285, 324, 1000, 198, 30868, 11489, 64, 337, 25010, 198, 39671, 362, 1334, 2349, 198, 21279 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 286, 366, 1169, 1435, 1, 326, 569, 4024, 12932, 284, 1193, 5344, 290, 787, 19756, 329, 10084, 14366, 2877, 287, 1909, 338, 3298, 1143, 995, 13, 383, 1994, 13460, 286, 465, 670, 960, 13482, 338, 42423, 1842, 11, 17734, 286, 262, 555, 25344, 306, 11, 1842, 286, 4472, 11, 26027, 11, 290, 2328, 329, 883, 508, 8659, 960, 23505, 511, 3160, 355, 484, 5615, 739, 1964, 18345, 290, 3034, 1207, 4108, 341, 290, 24067, 1204, 12, 1477, 16475, 2614, 42546, 13, 198, 198, 14311, 262, 14555, 16717, 319, 569, 4024, 338, 9028, 2478, 373, 5613, 509, 10277, 11632, 46195, 11, 281, 9028, 290, 45562, 290, 465, 3956, 12, 259, 12, 6270, 13, 679, 39217, 287, 569, 4024, 257, 1842, 286, 4673, 11, 2592, 287, 8695, 284, 8876, 13, 383, 717, 1944, 509, 10277, 11632, 46195, 2921, 262, 1315, 12, 1941, 12, 727, 569, 4024, 373, 22108, 25192, 11563, 338, 24075, 286, 262, 2688, 11, 281, 9857, 2106, 286, 4885, 8876, 357, 4480, 257, 22024, 856, 3098, 12, 20298, 17157, 737, 4698, 509, 10277, 11632, 46195, 338, 11154, 569, 4024, 45730, 281, 18590, 37086, 286, 30576, 3555, 357, 27471, 768, 351, 4158, 30504, 588, 327, 13, 311, 13, 10174, 290, 788, 8282, 319, 284, 1688, 1160, 400, 4289, 37275, 533, 4569, 4960, 7259, 11, 2092, 284, 41326, 9529, 22009, 13, 1119, 389, 1690, 23568, 355, 636, 286, 4569, 1751, 338, 1830, 13, 1119, 389, 3417, 355, 257, 1296, 286, 949, 6, 8226, 25, 4569, 4960, 7259, 11, 3221, 23568, 1231, 19249, 12834, 13, 220, 198, 198, 464, 10675, 12, 727, 15844, 389, 1690, 47757, 284, 3660, 4960, 357, 16480, 284, 1751, 508, 389, 13777, 340, 828, 290, 1854, 460, 307, 2407, 26592, 319, 1969, 3781, 13, 4525, 867, 1751, 338, 7259, 1088, 262, 995, 11, 780, 661, 389, 973, 284, 606, 422, 281, 1903, 2479, 11, 484, 389, 1690, 38603, 284, 262, 1103, 26368, 13, 198, 198, 27730, 286, 1175, 11231, 3384, 64, 198, 198, 51, 13090, 29038, 325, 198, 198, 1, 51, 13090, 29038, 325, 1, 318, 1690, 2826, 355, 281, 7914, 14009, 379, 22382, 41930, 287, 2869, 284, 6737, 618, 340, 318, 3338, 284, 3272, 13, 198, 198, 25324, 25, 198, 34460, 248, 28255, 1792, 225, 22174, 2515, 249, 5099, 222, 34460, 248, 28255, 1792, 225, 22174, 2515, 249, 198, 46036, 46036, 31676, 2515, 102, 46036, 5641, 5099, 222, 163, 112, 108, 34460, 248, 2515, 246, 1792, 225, 198, 25465, 15351, 43357, 30159, 5641, 5099, 222, 163, 112, 108, 34402, 241, 2515, 246, 1792, 225, 198, 2515, 94, 33180, 30201, 34460, 248, 22180, 28134, 5099, 222, 10310, 233, 22180, 1792, 225, 22174, 2515, 249, 198, 36181, 94, 18796, 101, 5641, 26945, 18566, 43266, 5641, 5099, 222, 34460, 248, 22180, 1792, 225, 2515, 249, 2515, 105, 198, 46036, 15474, 255, 238, 5641, 10310, 225, 2515, 97, 5641, 5099, 222, 2515, 232, 163, 98, 251, 18566, 28618, 198, 2515, 232, 17312, 255, 31758, 163, 112, 235, 1792, 223, 28618, 5099, 222, 30159, 18566, 28255, 30159, 33623, 198, 26193, 234, 33778, 31676, 1792, 230, 18566, 1792, 230, 18566, 5099, 222, 30585, 108, 28255, 31676, 46036, 1792, 237, 18566, 198, 46036, 1792, 237, 18566, 26945, 35585, 36853, 43266, 198, 34460, 248, 28255, 1792, 225, 22174, 2515, 249, 5099, 222, 34460, 248, 28255, 1792, 225, 22174, 2515, 249, 198, 198, 22834, 26436, 25, 198, 309, 13090, 29038, 325, 11, 256, 13090, 29038, 325, 198, 509, 16044, 2082, 466, 7204, 645, 289, 418, 296, 16590, 45091, 30, 198, 9368, 18594, 12, 33843, 645, 289, 418, 296, 16590, 45091, 198, 609, 37606, 256, 13090, 1477, 578, 479, 463, 1077, 40054, 198, 402, 726, 13090, 645, 299, 1872, 33361, 256, 13090, 1477, 292, 268, 84, 198, 17431, 78, 41727, 645, 15709, 19231, 645, 267, 14246, 1872, 37628, 198, 440, 12, 69, 15339, 24486, 28686, 480, 37628, 285, 958, 320, 27345, 198, 314, 4106, 2082, 331, 23013, 331, 23013, 11, 479, 25534, 72, 2082, 479, 322, 1872, 198, 509, 322, 1872, 299, 38415, 6941, 198, 309, 13090, 29038, 325, 11, 256, 13090, 29038, 325, 198, 198, 48313, 25, 198, 3914, 502, 1208, 11, 1309, 502, 1208, 198, 1867, 318, 428, 7135, 21182, 994, 30, 220, 198, 632, 338, 262, 7135, 21182, 286, 262, 9368, 18594, 29981, 198, 4222, 1249, 502, 284, 1208, 832, 198, 5845, 1231, 922, 1738, 2236, 407, 1208, 198, 1675, 10648, 428, 1200, 338, 767, 400, 10955, 198, 314, 1053, 1282, 284, 39383, 616, 6011, 198, 19219, 287, 481, 307, 3734, 11, 3734, 11, 475, 8024, 481, 307, 14343, 198, 632, 338, 14343, 475, 198, 3914, 502, 1208, 11, 1309, 502, 1208, 198, 198, 7, 2215, 11212, 12430, 373, 1029, 11, 661, 16083, 13943, 618, 257, 1200, 11803, 284, 3151, 262, 2479, 286, 767, 13, 4091, 911, 488, 328, 418, 272, 8, 198, 198, 1212, 1948, 1175, 11231, 12, 29822, 318, 23568, 355, 636, 286, 257, 4569, 983, 10411, 284, 366, 23421, 10290, 1148, 42914, 5588, 1911, 4930, 1751, 6476, 1123, 584, 2792, 511, 2832, 284, 1296, 281, 3934, 705, 9122, 4122, 3256, 290, 262, 5637, 1751, 2513, 832, 14638, 287, 257, 1627, 357, 392, 736, 2835, 757, 287, 13332, 737, 383, 1200, 508, 4325, 284, 307, 739, 262, 3934, 618, 262, 3496, 20271, 318, 788, 705, 66, 3413, 4458, 198, 198, 464, 14009, 318, 2826, 379, 4960, 22382, 41930, 416, 23970, 351, 428, 983, 11, 1312, 13, 68, 1539, 340, 318, 3338, 284, 3272, 1566, 262, 2647, 9911, 13, 198, 198, 15156, 84, 12, 353, 84, 12, 65, 13090, 27624, 198, 198, 32, 1059, 84, 1059, 84, 275, 13090, 27624, 318, 257, 1310, 4569, 1021, 12, 9727, 3654, 543, 13519, 6774, 34488, 13, 366, 15156, 84, 1, 318, 257, 4960, 15942, 543, 8477, 34488, 11, 290, 257, 366, 65, 13090, 27624, 1, 318, 257, 20838, 27266, 13, 8990, 787, 1059, 84, 12, 353, 84, 12, 65, 13090, 27624, 503, 286, 10712, 3348, 290, 257, 4731, 290, 8181, 606, 422, 257, 4324, 284, 4601, 329, 27737, 6193, 13, 1318, 318, 257, 5863, 1175, 11231, 3384, 64, 543, 318, 546, 262, 1402, 10905, 12, 2339, 36062, 543, 661, 460, 766, 10938, 319, 37259, 1528, 13, 198, 198, 25324, 25, 198, 28134, 25748, 28134, 25748, 2515, 120, 29557, 2515, 248, 23513 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 32415, 764, 9930, 547, 407, 2029, 884, 257, 474, 395, 764, 11321, 8922, 286, 308, 322, 620, 259, 416, 1729, 12, 21175, 620, 259, 531, 262, 21264, 5770, 705, 82, 661, 547, 523, 6165, 34169, 484, 550, 1282, 1336, 9197, 656, 257, 1296, 286, 20049, 6799, 363, 1924, 764, 5460, 379, 262, 835, 308, 322, 620, 259, 10835, 33850, 511, 898, 23856, 256, 5643, 5145, 27078, 837, 1141, 530, 286, 262, 4071, 299, 1686, 610, 2007, 705, 82, 661, 10431, 683, 837, 285, 694, 494, 550, 39217, 284, 1650, 510, 290, 1949, 284, 13279, 572, 326, 31193, 10038, 286, 27666, 764, 258, 1297, 2241, 2081, 1243, 1058, 326, 262, 308, 322, 620, 259, 6228, 4400, 683, 783, 837, 28651, 284, 683, 837, 5716, 683, 351, 326, 627, 292, 557, 4604, 699, 2461, 543, 484, 3432, 284, 477, 1232, 5700, 764, 4360, 612, 373, 645, 819, 4980, 1194, 3872, 1058, 262, 308, 322, 620, 259, 550, 32443, 276, 683, 329, 511, 23430, 9189, 1917, 625, 257, 890, 2278, 286, 640, 837, 290, 484, 547, 852, 1342, 621, 2960, 351, 683, 546, 326, 890, 1429, 290, 663, 14953, 764, 8117, 547, 1464, 3684, 776, 12657, 26045, 618, 7219, 351, 308, 322, 620, 259, 764, 12518, 339, 705, 67, 3088, 8024, 284, 3993, 326, 640, 837, 340, 373, 284, 8791, 14851, 10625, 286, 2347, 276, 36834, 11222, 357, 1111, 11398, 290, 4077, 1267, 477, 12105, 290, 2407, 825, 268, 10950, 878, 262, 319, 6649, 1567, 912, 286, 24804, 308, 322, 620, 259, 10835, 764, 1169, 4320, 705, 82, 3275, 373, 1598, 764, 1169, 308, 322, 620, 259, 1244, 845, 880, 4117, 23430, 9189, 287, 262, 835, 357, 290, 329, 2092, 3840, 1267, 326, 484, 1592, 2197, 276, 511, 898, 256, 5643, 532, 10342, 837, 33903, 10342, 837, 329, 262, 12841, 290, 749, 30738, 13644, 764, 1169, 1917, 484, 705, 67, 24105, 287, 465, 14779, 288, 20227, 285, 694, 494, 764, 361, 262, 24917, 16882, 1359, 286, 23430, 9189, 14109, 656, 2219, 9359, 1231, 257, 24580, 17734, 837, 262, 308, 322, 620, 259, 36986, 561, 307, 289, 6302, 555, 647, 66, 17049, 764, 1169, 308, 322, 620, 259, 550, 1598, 290, 6751, 1738, 284, 4117, 262, 2370, 532, 393, 284, 1309, 262, 2370, 4117, 2346, 764, 3137, 2649, 764, 3003, 373, 326, 284, 307, 1043, 5633, 259, 262, 29885, 4034, 543, 550, 3888, 262, 308, 322, 620, 259, 284, 3817, 428, 6306, 5633, 10197, 611, 339, 1043, 326, 17734, 837, 23430, 9189, 561, 307, 281, 46907, 287, 262, 8281, 6160, 764, 270, 705, 67, 307, 262, 2426, 286, 1029, 10512, 764, 3549, 621, 8208, 10439, 286, 5384, 290, 308, 322, 620, 259, 9053, 4092, 1231, 6509, 5145, 24571, 21757, 2106, 561, 5259, 359, 378, 12925, 9791, 764, 1169, 7095, 286, 3303, 561, 307, 18782, 284, 1319, 278, 262, 938, 4268, 286, 4085, 425, 12799, 422, 428, 16084, 764, 3919, 2300, 703, 4893, 837, 308, 322, 620, 259, 21508, 561, 1282, 287, 329, 4591, 608, 276, 39180, 602, 290, 30508, 764, 22850, 750, 484, 1107, 466, 340, 5633, 10919, 3022, 284, 511, 2656, 11661, 5633, 15332, 561, 804, 19528, 656, 511, 898, 29171, 532, 1692, 290, 308, 322, 620, 259, 12936, 764, 15506, 318, 326, 644, 3022, 284, 7711, 23878, 445, 5633, 10148, 21175, 620, 259, 872, 11183, 4406, 561, 307, 18782, 764, 15506, 3763, 5145, 1456, 389, 734, 532, 3750, 1231, 1700, 5145, 10148, 283, 2007, 705, 82, 661, 6848, 326, 7559, 257, 845, 1402, 9137, 10148, 550, 12623, 428, 1628, 290, 4030, 262, 19789, 319, 340, 764, 22474, 484, 3190, 33241, 837, 428, 308, 322, 620, 259, 47548, 5633, 76, 694, 494, 705, 82, 1790, 299, 1686, 547, 1464, 24069, 416, 281, 909, 3107, 699, 308, 322, 620, 259, 275, 7855, 625, 465, 3996, 519, 837, 26732, 683, 284, 1441, 379, 1752, 284, 262, 17719, 10991, 543, 5597, 683, 329, 9441, 319, 23430, 9189, 764, 25591, 17719, 10991, 5145, 1169, 17142, 39800, 7104, 287, 790, 530, 4376, 517, 2683, 621, 547, 9373, 764, 76, 694, 494, 3088, 284, 12377, 257, 37857, 9408, 837, 475, 14709, 1187, 7558, 840, 6255, 683, 764, 22850, 550, 262, 308, 322, 620, 259, 286, 23430, 9189, 2077, 319, 1692, 7016, 9695, 5633, 22850, 547, 23430, 9189, 705, 82, 5384, 2471, 278, 308, 322, 620, 259, 1919, 552, 8656, 5633, 22474, 262, 23430, 9189, 4988, 3910, 286, 1521, 484, 3421, 21850, 5107, 523, 1690, 5633, 1169, 34377, 3280, 284, 777, 10792, 2683, 37530, 285, 694, 494, 764, 15506, 477, 481, 307, 925, 1598, 618, 345, 1998, 23430, 9189, 329, 3511, 764, 10148, 258, 705, 67, 3443, 9292, 656, 257, 3753, 343, 799, 415, 279, 1436, 1058, 7559, 345, 466, 299, 470, 1107, 760, 262, 3280, 837, 466, 345, 5633, 5832, 705, 260, 7725, 1312, 705, 297, 1064, 503, 329, 345, 5145, 10148, 11246, 286, 262, 1366, 664, 8321, 17533, 285, 694, 494, 764, 4514, 8680, 284, 257, 308, 322, 620, 259, 4727, 644, 373, 1900, 546, 20254, 6958, 837, 339, 561, 1064, 2241, 22943, 416, 661, 6427, 287, 262, 1963, 271, 298, 1153, 1895, 835, 2354, 262, 17719, 1989, 764, 27078, 837, 2906, 2645, 648, 5982, 290, 3332, 379, 262, 1735, 286, 262, 2119, 837, 4964, 683, 351, 257, 14720, 9550, 543, 31862, 285, 694, 494, 705, 82, 50222, 284, 7954, 2179, 675, 408, 764, 258, 705, 67, 890, 276, 329, 262, 4171, 6147, 3091, 788, 837, 475, 1752, 262, 26322, 4896, 550, 5954, 262, 32107, 286, 1232, 388, 291, 4800, 1088, 683, 837, 262, 3091, 550, 587, 4615, 284, 663, 13626, 21404, 764, 258, 705, 67, 407, 766, 340, 757, 4556, 428, 2071, 5982, 262, 2184, 533, 2616, 764, 344, 2645, 648, 6150, 281, 34001, 1808, 1871, 867, 764, 22850, 750, 326, 4923, 30154, 1015, 4048, 36334, 428, 2119, 1231, 14329, 530, 1517, 5633, 258, 9885, 484, 3142, 2906, 2645, 648, 284, 2342, 683, 832, 6569, 13997, 4410, 764, 22850, 750, 673, 3853, 326, 1752, 284, 1282, 287, 1048, 5633, 1462, 1309, 683, 760, 339, 373, 852, 6515, 5633, 270, 550, 1223, 284, 466, 351, 4232, 550, 12053, 262, 308, 322, 620, 259, 284, 4512, 257, 30154, 1015, 764, 9930, 550, 617, 2003, 1917, 543, 691, 257, 30154, 1015, 714, 8494, 764 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 329, 40056, 284, 13527, 1022, 1811, 1180, 1041, 7114, 728, 1141, 511, 31588, 3451, 13, 198, 198, 24629, 2733, 198, 198, 464, 10807, 286, 3409, 19155, 468, 1111, 31588, 5499, 290, 4588, 625, 1957, 1230, 13, 383, 1388, 2597, 286, 262, 10807, 318, 284, 19158, 262, 7822, 286, 5370, 416, 1230, 45933, 11, 9758, 5359, 290, 5520, 3804, 416, 5675, 2351, 10006, 1626, 262, 15818, 11637, 13, 383, 10807, 635, 468, 262, 1176, 284, 12719, 570, 11, 4781, 393, 5393, 2828, 257, 1728, 1271, 286, 1171, 9730, 290, 468, 262, 826, 284, 8343, 262, 2597, 286, 1728, 1171, 6712, 611, 484, 766, 4197, 13, 40056, 389, 635, 262, 749, 4664, 1171, 1743, 1626, 262, 22783, 11, 3616, 326, 484, 906, 485, 625, 597, 1171, 27340, 393, 15818, 22861, 852, 2714, 2233, 284, 257, 2260, 9912, 13, 1081, 262, 11561, 286, 262, 15818, 1644, 290, 402, 9239, 647, 494, 3386, 11, 262, 10807, 460, 635, 1011, 5370, 3562, 284, 4179, 3026, 42366, 290, 12201, 1171, 1502, 13, 4900, 44660, 286, 29364, 290, 43321, 389, 7018, 1141, 1957, 7024, 11, 262, 10807, 468, 262, 826, 284, 302, 12, 9971, 786, 393, 284, 10104, 262, 13106, 286, 1957, 1230, 3805, 852, 281, 555, 28604, 2292, 13, 198, 198, 8053, 286, 26824, 286, 3409, 19155, 198, 198, 6214, 635, 198, 29168, 273, 357, 31632, 8, 198, 50, 4105, 403, 22783, 198, 9452, 4592, 286, 262, 19614, 357, 31632, 8, 198, 198, 19927, 198, 198, 41506, 6117, 198, 23286, 4867, 286, 262, 10807, 286, 3409, 19155, 198, 198, 29168, 669, 357, 31632, 8, 198, 50, 4105, 403, 198, 42872, 21850, 6712, 42, 430, 9637, 9189, 318, 257, 4783, 287, 943, 403, 620, 282, 25945, 287, 5093, 12, 68, 6470, 3794, 13, 632, 373, 23470, 503, 286, 18132, 2150, 509, 2454, 88, 4783, 319, 767, 3945, 1853, 13, 198, 198, 18122, 198, 464, 6282, 286, 21553, 9637, 9189, 4783, 373, 6325, 319, 2310, 2805, 2211, 739, 262, 943, 403, 620, 282, 25945, 357, 3041, 12, 26121, 1634, 286, 5665, 82, 8, 357, 5840, 5904, 8, 3941, 13, 198, 198, 42, 430, 9637, 9189, 373, 14243, 49293, 416, 262, 788, 5953, 4139, 36099, 321, 309, 11308, 355, 262, 678, 400, 4783, 286, 943, 403, 620, 282, 25945, 319, 767, 3945, 1853, 13, 198, 198, 41862, 1358, 198, 11531, 259, 318, 262, 1182, 24385, 286, 262, 4783, 13, 220, 632, 468, 734, 10474, 43742, 11, 48569, 1539, 51, 7344, 11, 33109, 11, 9505, 3624, 13332, 48569, 13, 8801, 3083, 422, 5093, 11, 350, 2419, 273, 648, 11, 7193, 72, 11, 609, 4131, 648, 11, 33109, 11, 10998, 660, 11, 14110, 461, 16332, 10989, 11, 290, 19228, 660, 13, 632, 318, 49059, 416, 18910, 3230, 4865, 351, 2807, 284, 262, 5093, 11, 20390, 3834, 504, 14783, 4783, 284, 262, 7627, 11, 16048, 3834, 504, 14783, 4783, 284, 262, 5366, 11, 14185, 388, 350, 533, 4783, 284, 262, 26015, 11, 18132, 2150, 509, 2454, 88, 4783, 284, 262, 7421, 13, 350, 5411, 318, 257, 850, 12, 21426, 287, 262, 4783, 5140, 1178, 4608, 1497, 422, 33109, 290, 318, 17169, 416, 281, 15891, 15110, 13270, 13, 198, 198, 19927, 198, 198, 41506, 6117, 628, 15934, 3052, 628, 220, 198, 44857, 82, 286, 943, 403, 620, 282, 25945, 464, 3427, 6188, 21852, 40609, 5136, 357, 36, 2043, 25690, 8, 318, 281, 3230, 1729, 12, 9183, 12684, 48583, 287, 16445, 11, 15664, 11, 8998, 7525, 3371, 12148, 286, 4875, 31231, 290, 14196, 286, 4875, 19328, 11, 416, 4955, 1029, 3081, 5423, 329, 262, 18094, 286, 3725, 290, 4678, 287, 262, 1989, 286, 1321, 290, 6946, 8514, 11, 287, 10213, 284, 262, 3427, 4513, 338, 9949, 13, 198, 198, 23812, 2965, 290, 4678, 18094, 5423, 198, 36, 2043, 25690, 3769, 6937, 2478, 11, 18848, 11, 290, 18094, 286, 262, 1708, 4708, 314, 4177, 3725, 290, 4678, 18094, 5423, 25, 628, 3427, 6188, 21852, 40609, 357, 36, 2043, 34, 8, 11383, 532, 3769, 18094, 286, 3925, 6, 3725, 290, 4678, 287, 7135, 11, 16976, 2060, 12, 32796, 3006, 286, 314, 4177, 884, 355, 4452, 3788, 11, 13851, 12, 64, 1384, 1628, 4542, 11, 7467, 12438, 3341, 11, 371, 1603, 9382, 7587, 13, 198, 3427, 6188, 21852, 40609, 8581, 357, 36, 2043, 8141, 8, 11383, 532, 3769, 18094, 286, 3925, 6, 3725, 290, 4678, 287, 11622, 2214, 12, 17107, 3006, 286, 314, 4177, 13572, 884, 355, 13851, 9382, 11, 6188, 2324, 3503, 13, 383, 412, 2043, 8141, 23698, 11, 6412, 284, 355, 412, 2043, 8141, 7116, 5090, 11, 2291, 6163, 5621, 286, 1811, 284, 625, 257, 8667, 286, 1981, 412, 2043, 34, 23698, 11, 326, 1978, 28889, 257, 1948, 1989, 286, 24751, 13, 198, 198, 6214, 635, 198, 412, 2043, 8141, 11383, 198, 412, 2043, 34, 11383, 198, 10231, 14083, 198, 6188, 3592, 198, 13851, 31231, 198, 34600, 3707, 198, 10231, 37029, 329, 2031, 198, 198, 19927, 198, 198, 24274, 16435, 1912, 287, 15664, 198, 21918, 3037, 3707, 198, 21918, 3037, 5745, 1912, 287, 2031, 198, 15480, 1371, 16435, 287, 15664, 4653, 4119, 37956, 8865, 5164, 13331, 11, 1900, 287, 262, 13316, 355, 1001, 4119, 37956, 8865, 412, 22744, 11, 373, 257, 19690, 11700, 505, 326, 5676, 262, 7840, 13316, 11, 14119, 290, 8372, 2807, 287, 1903, 2901, 1849, 4626, 13, 383, 24395, 3706, 6388, 286, 262, 5079, 37428, 2049, 1622, 11, 5164, 13331, 4166, 319, 2901, 1849, 16, 625, 287, 262, 29911, 6896, 13, 632, 3888, 11454, 4142, 7421, 904, 3812, 262, 13316, 11, 4191, 8871, 262, 7022, 286, 6026, 26361, 319, 2901, 1849, 19, 13, 5164, 13331, 24135, 1973, 262, 7022, 11, 475, 302, 30280, 625, 262, 2520, 2807, 6896, 13, 632, 2900, 5093, 904, 290, 27324, 284, 1474, 37428, 2049, 12245, 11, 393, 13520, 286, 7982, 1849, 13276, 14, 71, 357, 2425, 1849, 23335, 828, 475, 24135, 355, 340, 26929, 284, 262, 24821, 3812, 8372, 2807, 13, 1550, 2901, 1849, 24, 11, 262, 6388, 925, 43682, 1863, 262, 3999, 8473, 286, 36980, 67, 506, 11, 32008, 803, 262, 1306, 1110, 7421, 286, 9764, 9071, 13, 198, 198, 9492, 27362, 351, 262, 937, 36194, 11, 5164, 13331, 3181, 4334, 25807, 1973, 881, 286, 262, 13316, 329, 1811, 1528, 11, 6666, 17448, 290, 29433, 1460, 326, 8724, 287, 4979 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 220, 198, 198, 5216, 30752, 40056, 286, 10769, 198, 5216, 30752, 6554, 198, 17688, 286, 4082, 4814, 198, 1558, 1828, 7040, 44, 53, 57, 743, 3522, 284, 25, 628, 4460, 9070, 48574, 32563, 16561, 11, 3284, 198, 9594, 286, 4643, 660, 40804, 31645, 1435, 11, 14727, 11, 3442, 11, 4916, 54, 53, 38730, 318, 257, 11811, 2277, 5243, 39559, 7025, 5243, 4429, 11971, 284, 9316, 7423, 11, 6025, 11, 7351, 262, 968, 5866, 6916, 13, 370, 53, 38730, 973, 284, 307, 6898, 290, 12228, 416, 27843, 23515, 6343, 13, 1550, 2693, 718, 11, 2864, 11, 27843, 23515, 6343, 3414, 340, 561, 3677, 663, 27875, 7423, 13946, 284, 5575, 501, 18798, 6343, 13, 383, 5466, 373, 6325, 3426, 352, 11, 2864, 13, 1550, 3269, 1160, 11, 13130, 11, 262, 4429, 338, 5794, 373, 15293, 284, 38698, 7286, 8829, 290, 262, 24150, 284, 366, 21352, 1802, 1911, 198, 198, 19927, 198, 198, 41506, 6117, 198, 21352, 1802, 7467, 198, 198, 4264, 33080, 2277, 5243, 8985, 287, 262, 1578, 1829, 198, 53, 38730, 198, 26093, 8985, 4920, 287, 9768, 198, 23847, 33228, 287, 6025, 464, 23136, 6896, 26397, 1014, 318, 257, 6787, 8025, 319, 15725, 18720, 287, 9596, 14775, 11, 10140, 11, 1578, 1829, 13, 383, 3108, 4539, 329, 220, 422, 262, 198, 7447, 4105, 1056, 11416, 26450, 12094, 287, 16483, 24478, 284, 2258, 9596, 14775, 13, 198, 198, 18122, 220, 198, 464, 8025, 373, 3170, 319, 262, 826, 12, 1659, 12, 1014, 286, 262, 5706, 34480, 36289, 338, 16483, 24478, 8478, 1627, 11, 543, 373, 3170, 287, 1248, 4761, 13, 554, 48889, 11, 262, 968, 1971, 11, 968, 21425, 290, 37118, 36289, 357, 33863, 8, 40352, 262, 5706, 34480, 290, 1718, 625, 2139, 319, 262, 1627, 13, 47239, 2139, 373, 31349, 287, 17575, 11, 262, 24451, 23791, 351, 262, 6595, 5694, 1080, 287, 16450, 11, 290, 6595, 5694, 1816, 13158, 287, 8069, 13, 198, 198, 464, 6282, 286, 262, 8025, 2540, 287, 15589, 11, 618, 262, 8329, 286, 9596, 14775, 8155, 262, 2665, 286, 262, 13158, 1627, 2491, 422, 9436, 9596, 14775, 284, 16483, 24478, 329, 720, 37967, 11, 830, 13, 554, 3717, 11, 262, 8025, 373, 7083, 281, 3224, 220, 422, 9436, 9596, 14775, 284, 2258, 9596, 14775, 13, 4848, 432, 2139, 319, 428, 2665, 24368, 287, 11104, 13, 198, 198, 3633, 262, 16483, 24478, 12, 41129, 14775, 2665, 286, 1966, 24337, 318, 6898, 416, 262, 8329, 286, 9596, 14775, 11, 262, 9596, 14775, 12, 14157, 9596, 14775, 2665, 318, 6898, 416, 262, 10140, 2732, 286, 15198, 290, 318, 407, 8720, 9958, 13, 198, 198, 464, 1438, 286, 262, 8025, 318, 257, 4941, 284, 262, 33453, 3496, 366, 18165, 262, 23762, 1911, 383, 1772, 286, 262, 3496, 338, 15844, 11, 32719, 5741, 35591, 11, 373, 4642, 287, 9596, 14775, 11, 290, 612, 318, 257, 35127, 28723, 803, 607, 21247, 1474, 10591, 18364, 362, 13, 198, 198, 464, 20576, 710, 12950, 13069, 318, 257, 6027, 220, 6787, 8025, 9315, 1359, 262, 4075, 6787, 1627, 422, 2258, 9596, 14775, 284, 20576, 710, 11, 810, 340, 481, 2018, 351, 262, 15725, 18720, 31314, 3108, 13, 554, 13130, 290, 12131, 11, 262, 1181, 11343, 720, 27203, 11, 830, 329, 1486, 286, 262, 717, 734, 21164, 13, 198, 198, 43401, 6764, 198, 464, 23136, 6896, 26397, 1014, 338, 7840, 8025, 2256, 318, 379, 262, 1966, 2524, 286, 262, 2258, 9596, 14775, 36289, 9327, 319, 3418, 5567, 287, 2258, 9596, 14775, 13, 1114, 262, 717, 837, 262, 3108, 4539, 15909, 284, 4075, 2610, 973, 284, 25647, 13913, 572, 12, 34, 1758, 422, 262, 20390, 15725, 15994, 20558, 9327, 319, 16798, 7308, 15725, 18720, 13, 383, 3108, 4539, 5366, 7323, 10730, 284, 18956, 2579, 32, 832, 262, 15425, 286, 2258, 9596, 14775, 290, 2688, 9596, 14775, 13, 14307, 2258, 290, 2688, 9596, 14775, 11, 340, 8318, 832, 257, 41286, 8396, 22922, 290, 24234, 262, 8223, 19196, 379, 20576, 710, 11272, 13, 554, 2688, 9596, 14775, 11, 340, 8318, 1474, 15954, 22696, 30711, 8511, 290, 788, 4539, 832, 262, 311, 3974, 413, 747, 3087, 13754, 9786, 13, 198, 198, 3260, 262, 8268, 22397, 11, 262, 3108, 4962, 26015, 290, 34332, 4622, 656, 262, 7404, 286, 311, 3974, 413, 747, 3087, 290, 788, 4962, 26283, 290, 14170, 9436, 9596, 14775, 13, 1629, 428, 966, 11, 612, 318, 257, 4637, 1973, 18956, 2579, 32, 284, 262, 8372, 886, 286, 262, 3461, 5718, 13069, 11, 1390, 4599, 10594, 3250, 11, 402, 1809, 338, 41598, 11, 290, 9596, 14775, 23220, 278, 9327, 13, 554, 9596, 14775, 11, 262, 3108, 4539, 832, 257, 2441, 4105, 1056, 11416, 7647, 1256, 290, 8318, 262, 1966, 9596, 14775, 36289, 9327, 11, 543, 318, 973, 355, 257, 1323, 4429, 13, 198, 198, 2953, 16483, 24478, 5567, 11, 262, 3108, 12229, 663, 9436, 7647, 1256, 11, 543, 373, 663, 7840, 1712, 8025, 2256, 1566, 262, 3717, 7552, 13, 632, 788, 24234, 16483, 24478, 5567, 290, 4477, 26283, 1613, 13754, 41598, 284, 43771, 9974, 8511, 13, 1629, 43771, 9974, 11, 262, 3108, 5679, 262, 10481, 329, 220, 290, 788, 6665, 37874, 13, 36143, 7627, 11, 340, 8318, 832, 1194, 2441, 4105, 1056, 11416, 7647, 1256, 290, 5645, 379, 262, 2441, 4105, 1056, 11416, 26450, 12094, 290, 262, 1966, 2524, 286, 262, 16483, 24478, 36289, 9327, 287, 262, 7404, 286, 16483, 24478, 13, 198, 198, 6214, 635, 198, 15725, 18720, 12950, 13069, 198, 198, 19927, 198, 198, 13518, 3555, 198, 198, 41506, 6117, 628, 26397, 1322, 4606, 11, 8329, 286, 9596, 14775, 198, 14213, 286, 9596, 14775, 26397, 1322, 198, 198, 44631, 19196, 287, 10140, 198, 47, 5558, 287, 11842, 31284, 3418, 11, 10140, 198, 41129, 14775, 11, 10140, 198, 39152, 396, 29156, 287, 11842, 31284, 3418, 11, 10140, 22405, 9368, 354, 357, 784, 1596, 2919, 8, 373, 262, 860, 400, 8111, 10807, 286, 10769, 11, 422, 1596, 2999, 284, 1596, 3023, 13, 679, 373, 9899, 416, 465, 18476, 11, 49536, 1086, 461, 36363, 11, 290, 373, 14131, 416, 21636, 1757, 42843, 13, 198, 198, 20457, 1204, 198, 22405, 9368, 354, 373, 2192, 4642, 287, 262, 1467, 1120, 82, 287, 4492, 13, 679, 2296, 38769, 284, 262, 15397, 317, 622, 358, 417, 3418, 11, 10769, 287, 1467, 5705, 13, 198, 198, 30228, 1204, 198, 51 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 508, 3724, 416, 7341, 981, 339, 373, 287, 3576, 11, 4492, 11, 8296, 465, 717, 5062, 13, 554, 326, 976, 1848, 11, 8121, 531, 339, 550, 587, 287, 257, 2769, 8862, 706, 262, 5287, 286, 465, 649, 4097, 262, 19903, 10850, 284, 46064, 344, 357, 1169, 43086, 366, 36087, 10625, 290, 19903, 31182, 287, 5207, 319, 262, 2323, 8172, 262, 4941, 318, 284, 262, 1438, 286, 262, 4097, 2138, 621, 257, 10800, 6614, 7014, 11, 355, 373, 890, 29586, 737, 8121, 5668, 3597, 262, 3496, 981, 287, 14321, 13, 198, 198, 818, 5075, 11, 1141, 281, 2720, 319, 17921, 11, 8121, 4893, 284, 2583, 4746, 11288, 326, 262, 3496, 373, 3194, 287, 1115, 3354, 25, 198, 198, 464, 717, 636, 373, 546, 8121, 338, 1545, 45587, 11, 508, 3724, 981, 8121, 373, 287, 3576, 1762, 319, 465, 717, 5062, 706, 852, 4488, 284, 4196, 13407, 13, 14213, 379, 1363, 11, 5213, 326, 340, 1244, 11786, 8121, 422, 465, 1263, 2270, 11, 4030, 262, 15444, 1705, 422, 683, 11, 290, 339, 1043, 503, 2237, 1933, 1568, 13, 198, 464, 1218, 636, 3307, 8121, 338, 6531, 284, 10980, 2563, 13230, 290, 8862, 13, 198, 464, 2368, 636, 7529, 351, 2406, 284, 31323, 351, 16117, 290, 15807, 11, 2045, 736, 379, 262, 2975, 326, 1392, 683, 612, 13, 632, 3407, 257, 4941, 284, 3700, 8121, 290, 383, 19903, 10850, 11, 257, 4097, 339, 11589, 3111, 351, 878, 465, 1263, 2270, 351, 3362, 44677, 11, 5613, 1081, 372, 11, 290, 4196, 13407, 13, 198, 198, 9914, 2305, 2677, 2826, 19132, 319, 262, 3496, 13, 25331, 647, 1887, 22673, 7750, 973, 36377, 2138, 621, 16461, 319, 465, 13026, 6220, 11, 290, 17155, 2688, 2826, 4274, 12702, 287, 1295, 286, 257, 12702, 10047, 284, 366, 41116, 7295, 262, 47886, 319, 262, 3496, 1911, 198, 198, 15708, 468, 5081, 326, 607, 3496, 366, 1639, 1053, 11853, 257, 9182, 553, 543, 8121, 6264, 11, 373, 257, 2882, 284, 262, 1627, 287, 262, 25133, 326, 366, 40, 447, 247, 303, 1775, 21757, 1661, 618, 314, 714, 407, 1064, 257, 1545, 526, 198, 198, 29907, 10288, 262, 3496, 287, 1194, 286, 465, 33543, 11, 366, 2504, 338, 4162, 314, 1101, 3423, 553, 3670, 2610, 422, 465, 12863, 5062, 11, 287, 543, 339, 6797, 11, 366, 21926, 1726, 290, 16117, 338, 884, 257, 11040, 983, 13, 16374, 18981, 460, 869, 345, 416, 1438, 13, 7119, 922, 1637, 284, 3285, 705, 13543, 290, 10301, 6, 757, 290, 757, 290, 757, 526, 198, 198, 1544, 635, 10229, 284, 262, 3496, 287, 1194, 11742, 11, 564, 250, 26788, 10850, 447, 251, 357, 64, 28858, 1011, 319, 262, 3176, 7612, 286, 262, 8296, 2831, 2599, 564, 250, 2215, 314, 2540, 262, 983, 11, 766, 502, 13777, 564, 246, 65, 448, 3764, 290, 10301, 26, 20607, 1326, 655, 1702, 340, 757, 851, 314, 447, 247, 303, 1775, 277, 1083, 290, 314, 447, 247, 303, 1775, 11192, 447, 251, 13, 198, 198, 3041, 4516, 198, 30507, 2701, 7849, 11, 3457, 13, 10307, 366, 13543, 290, 10301, 1, 379, 1271, 9415, 319, 663, 366, 9126, 1802, 31772, 286, 262, 13641, 1, 1351, 11, 981, 4446, 329, 262, 2351, 5268, 36569, 329, 262, 11536, 290, 43905, 17420, 5396, 286, 2253, 338, 31772, 286, 262, 13641, 1351, 11, 543, 28800, 21268, 7259, 286, 366, 10034, 12409, 12085, 1, 6264, 422, 21489, 284, 4751, 11, 4624, 366, 13543, 290, 10301, 1, 379, 1271, 7600, 13, 554, 3035, 2813, 11, 262, 3496, 373, 3706, 379, 1271, 30989, 319, 21567, 26596, 1351, 286, 5323, 6000, 7259, 286, 477, 640, 13, 198, 198, 27245, 6300, 198, 198, 22697, 544, 367, 1127, 5017, 366, 13543, 290, 10301, 1, 319, 607, 15231, 8886, 18470, 11, 13067, 544, 911, 1127, 13, 220, 2332, 2196, 4251, 1303, 1558, 287, 4505, 13, 1629, 262, 15231, 6638, 13266, 15434, 11, 262, 3496, 1839, 367, 1127, 15396, 569, 4374, 14206, 286, 262, 6280, 13, 198, 198, 10044, 5042, 198, 29907, 17706, 262, 3496, 319, 383, 34376, 287, 262, 4471, 366, 29744, 4687, 28440, 526, 2893, 13777, 262, 3496, 329, 257, 1448, 286, 26835, 357, 8201, 28440, 20531, 290, 15753, 15586, 12769, 828, 339, 2458, 262, 43086, 366, 36087, 10625, 290, 7348, 8217, 287, 5207, 319, 262, 2323, 1, 284, 366, 36087, 10625, 290, 7348, 8217, 11, 7348, 11512, 832, 262, 1633, 1, 618, 339, 23660, 262, 2272, 20992, 743, 7014, 13, 198, 198, 818, 1853, 11, 8121, 4120, 319, 383, 18319, 5438, 351, 7970, 31368, 11, 810, 339, 25889, 257, 2196, 1390, 6409, 10288, 284, 1281, 12, 30986, 2968, 3968, 13, 198, 198, 45488, 2854, 198, 198, 20916, 306, 15907, 198, 198, 17688, 12, 437, 15907, 198, 198, 37608, 6637, 198, 198, 19927, 198, 198, 33, 45689, 198, 198, 41506, 6117, 198, 42978, 286, 15981, 440, 6, 20118, 2720, 351, 8121, 546, 366, 13543, 290, 10301, 1, 198, 198, 30986, 25287, 198, 38449, 25287, 198, 32, 5, 44, 13407, 25287, 198, 9360, 65, 978, 11766, 7259, 198, 2953, 1073, 13407, 25287, 198, 22923, 13407, 25287, 198, 33428, 494, 18864, 7259, 198, 38, 859, 1820, 4789, 286, 18864, 11289, 20352, 198, 49, 13, 347, 13, 11955, 3080, 7259, 198, 14967, 6912, 259, 7259, 198, 22697, 544, 367, 1127, 7259, 198, 3546, 7629, 13407, 25287, 198, 2348, 449, 9624, 559, 32, 2606, 743, 3522, 284, 25, 628, 1605, 49359, 342, 2770, 7023, 11, 15734, 262, 1605, 49359, 342, 9251, 6, 4479, 198, 2034, 1580, 11863, 7736, 5612, 198, 4498, 4946, 2059, 11, 2839, 6403, 198, 317, 280, 357, 2213, 45920, 8, 198, 7129, 286, 46315, 11, 257, 2211, 2168, 3199, 416, 9923, 15650, 198, 32, 574, 5355, 25, 7129, 286, 46315, 11, 257, 1853, 17343, 2646, 286, 262, 976, 1438, 416, 9923, 13799, 464, 1450, 338, 4771, 12217, 7756, 220, 379, 262, 15408, 10633, 14935, 287, 554, 5907, 65, 30915, 11, 17322, 11, 373, 262, 1511, 400, 11514, 10749, 13, 383, 7570, 4479, 1839, 663, 8150, 3869, 18279, 13, 5776, 547, 2714, 379, 262, 7001, 9520, 6765, 554, 5907, 65, 30915, 13, 198, 198, 11922, 8091, 198, 464, 1388, 26390, 287, 262, 7756, 373, 1022, 262, 28905, 290, 16639, 50005, 461, 2260, 3466, 13, 383, 16639, 50005, 461, 1074, 6989, 422, 29491, 3690, 262, 7756, 11, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 13671, 329, 4353, 351, 281, 287, 12, 2032, 14146, 331, 967, 263, 11, 551, 6339, 284, 3451, 12, 13466, 6208, 16267, 5538, 286, 604, 1906, 15363, 13, 198, 198, 19927, 198, 198, 37781, 27244, 198, 36376, 661, 198, 36927, 2763, 1067, 624, 7307, 198, 11146, 1812, 1067, 624, 7307, 198, 38, 380, 13255, 392, 2688, 1067, 624, 7307, 198, 14942, 5478, 6208, 1067, 624, 7307, 198, 14942, 5510, 1067, 624, 7307, 198, 13195, 86, 3378, 10695, 1067, 624, 7307, 464, 10306, 520, 18698, 547, 257, 11783, 1074, 1912, 287, 10306, 11, 6835, 326, 2826, 287, 262, 1578, 15872, 5396, 1141, 15904, 290, 262, 2258, 1605, 15872, 4041, 287, 15963, 13, 5334, 1363, 2214, 373, 10306, 10499, 13, 198, 198, 18122, 198, 198, 17013, 15872, 5396, 198, 818, 19322, 257, 1448, 286, 1578, 1829, 290, 5398, 5701, 17038, 11, 2957, 416, 3619, 8758, 46247, 11, 220, 7042, 262, 1578, 15872, 5396, 351, 262, 6778, 286, 16924, 257, 4708, 11783, 4652, 13, 383, 4916, 6198, 5292, 284, 4219, 663, 4652, 287, 262, 6076, 286, 15963, 13, 2102, 257, 8976, 4652, 11, 262, 2351, 18612, 15872, 4041, 11, 3414, 340, 373, 3492, 284, 4219, 287, 15904, 13, 1892, 10291, 284, 4425, 2323, 284, 663, 8976, 11, 262, 4916, 3066, 284, 3049, 2610, 663, 4219, 13, 9170, 597, 1938, 286, 663, 898, 11, 340, 18524, 284, 1330, 2187, 3466, 422, 2031, 290, 2520, 2253, 13, 632, 373, 5292, 326, 777, 3466, 561, 2380, 262, 28088, 1141, 262, 26851, 1622, 11, 3501, 606, 640, 284, 1382, 511, 898, 31477, 329, 262, 1708, 1622, 13, 36178, 2254, 11, 508, 2826, 287, 262, 9957, 4041, 3274, 7458, 12412, 7997, 262, 10306, 11, 6835, 8663, 13, 198, 198, 818, 262, 16574, 36178, 2151, 3017, 262, 7832, 286, 11646, 19566, 11, 5613, 30947, 278, 11, 4502, 38647, 400, 321, 11, 32839, 5345, 1010, 290, 9817, 27820, 355, 880, 355, 4706, 8832, 370, 2860, 9557, 13, 383, 1074, 2067, 880, 1016, 41445, 287, 511, 717, 3598, 7466, 21320, 2669, 854, 2419, 362, 1906, 16, 11, 6182, 5564, 690, 352, 1906, 15, 11, 2986, 6033, 8407, 12816, 402, 2040, 290, 8533, 48970, 1111, 604, 1906, 16, 13, 1119, 788, 6989, 736, 284, 736, 362, 1906, 16, 29234, 284, 968, 1971, 5274, 34380, 290, 6995, 10271, 878, 257, 362, 1906, 15, 1592, 625, 6586, 2254, 1234, 606, 736, 319, 2610, 329, 257, 711, 12, 2364, 1295, 13, 2102, 257, 467, 439, 408, 3197, 351, 8488, 15062, 25821, 290, 257, 513, 1906, 16, 7433, 287, 262, 2457, 2872, 1028, 10930, 30245, 2497, 262, 520, 18698, 2051, 503, 319, 257, 711, 12, 2364, 4136, 416, 257, 2060, 966, 13, 198, 198, 18293, 43, 198, 14291, 262, 15904, 1622, 11, 262, 4916, 23791, 351, 262, 2351, 18612, 15872, 4041, 284, 1296, 262, 2258, 1605, 15872, 4041, 351, 262, 3466, 422, 262, 1966, 4916, 1719, 284, 2251, 511, 48803, 422, 12692, 13, 383, 8663, 373, 6198, 9477, 416, 10306, 12746, 9283, 3430, 10033, 4870, 27820, 520, 280, 36761, 290, 3430, 1893, 45513, 3362, 287, 2932, 19322, 13, 1119, 2702, 262, 520, 18698, 284, 257, 1448, 2957, 416, 10306, 6136, 8442, 3395, 4801, 24738, 290, 1597, 5212, 11, 978, 6862, 366, 38972, 1, 12812, 64, 11, 262, 717, 1285, 286, 3269, 15963, 13, 198, 198, 818, 40525, 257, 1074, 286, 511, 898, 11, 262, 649, 4393, 9477, 262, 11963, 286, 262, 3599, 1627, 12, 929, 422, 262, 15904, 399, 3705, 43, 8857, 45130, 8663, 11, 543, 561, 407, 8277, 287, 262, 49151, 287, 15963, 13, 383, 649, 520, 18698, 1839, 511, 7297, 290, 3938, 5292, 319, 8282, 4905, 13, 2102, 11, 257, 3580, 287, 1597, 8876, 351, 262, 1936, 16997, 49151, 28088, 2497, 262, 520, 18698, 2652, 41038, 287, 16450, 13, 1119, 750, 2583, 281, 17127, 9593, 257, 1271, 286, 520, 18698, 290, 49151, 366, 439, 12, 30783, 1, 9051, 257, 2688, 2679, 6125, 11, 543, 9859, 880, 11, 290, 26546, 1068, 617, 2911, 11, 475, 3395, 4801, 24738, 290, 12812, 64, 6150, 19283, 351, 262, 49151, 47560, 45369, 11, 290, 3414, 262, 886, 286, 262, 520, 18698, 287, 3389, 16450, 13, 198, 464, 15963, 520, 18698, 1839, 511, 7297, 706, 257, 5381, 3234, 351, 262, 12356, 4842, 12039, 27725, 13, 198, 198, 818, 262, 4495, 27459, 11, 484, 547, 9772, 287, 4802, 12, 22595, 17820, 416, 262, 19657, 8783, 9371, 18733, 13, 887, 262, 7238, 286, 262, 3430, 338, 6224, 5091, 319, 2901, 838, 11, 15963, 11, 379, 10306, 31526, 10499, 11, 618, 484, 12007, 290, 9772, 262, 11783, 995, 338, 1353, 12, 28282, 4708, 1074, 11, 28458, 286, 7595, 11, 9593, 12903, 2634, 13, 26335, 3362, 32822, 9319, 17232, 262, 362, 1906, 16, 9247, 416, 8914, 257, 7389, 4829, 13, 8989, 11, 32822, 9319, 11, 40352, 422, 36178, 2254, 11, 14707, 290, 3724, 286, 257, 2612, 1368, 14590, 3047, 287, 4492, 287, 3267, 15963, 11, 706, 262, 11939, 286, 262, 520, 18698, 6, 1622, 13, 198, 198, 9627, 508, 7997, 262, 520, 18698, 523, 880, 287, 262, 2214, 1141, 15963, 3017, 6256, 35942, 13244, 34852, 11, 257, 995, 12, 4871, 13191, 508, 925, 6409, 2260, 12, 15097, 11057, 351, 16519, 11, 465, 6868, 1956, 532, 810, 465, 1438, 290, 711, 3520, 13273, 532, 290, 46879, 24787, 418, 11, 257, 9298, 3061, 30664, 422, 8602, 532, 636, 286, 262, 3665, 6416, 14708, 30968, 286, 262, 2739, 11445, 82, 13, 520, 11020, 23827, 5385, 284, 3660, 12, 820, 2258, 1605, 3296, 2291, 1757, 6705, 357, 36760, 7312, 3985, 290, 10930, 6951, 828, 290, 9817, 15406, 357, 36760, 8533, 48970, 6953, 12, 805, 290, 788, 890, 12, 2435, 3985, 286, 262, 22639, 45526, 17330, 737, 5613, 10073, 290, 24386, 406, 5151, 433, 635, 8359, 890, 1294, 11783, 16179, 1708, 511, 1622, 287, 10306, 13, 198, 198, 1273, 18698, 6, 1182, 3985, 19636, 7754, 4504, 284, 4492, 290, 750, 27088, 13, 679, 1568, 11589, 629, 18534, 329, 262, 7054, 43, 10306, 14828, 8847, 13, 3395, 4801, 24738, 36385, 319, 257, 1029, 12, 13317, 1964, 3451, 11, 981, 12812, 64, 2627, 257, 9208, 10306, 3785, 287, 3707, 11, 1597, 11, 290, 5701, 13, 198, 198, 17688, 12, 1525, 12, 1941, 198, 198, 29478, 669, 198, 24095, 1166, 7659, 829, 198, 42246, 25, 49151, 24153 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2716, 355, 262, 2368, 2060, 422, 511, 1218, 8034, 5062, 11, 3395, 68, 5799, 357, 16088, 828, 290, 318, 262, 9605, 2610, 319, 262, 5062, 13, 1881, 286, 7502, 259, 3250, 338, 749, 880, 12, 4002, 290, 19475, 27023, 7259, 11, 366, 45, 2178, 1, 20633, 262, 36229, 27182, 31772, 8262, 329, 1105, 2745, 13, 383, 3496, 3377, 2237, 2745, 379, 262, 1353, 286, 262, 8262, 287, 5816, 290, 2237, 2745, 287, 5472, 13, 383, 3496, 635, 3377, 1115, 2745, 20156, 262, 36229, 6964, 8774, 5532, 4631, 42259, 8262, 290, 33948, 379, 1271, 1367, 319, 262, 36229, 6964, 1802, 13, 198, 198, 464, 3496, 373, 816, 2966, 355, 366, 45, 2178, 14, 4834, 7295, 1600, 257, 12438, 1022, 262, 4097, 290, 1605, 25670, 9180, 12, 57, 13, 632, 373, 257, 4858, 2277, 329, 1111, 7912, 326, 373, 8096, 319, 262, 5062, 7778, 1166, 20537, 290, 7366, 606, 262, 42235, 11289, 329, 6705, 12281, 14, 50, 2150, 37322, 341, 13, 366, 45, 2178, 1, 373, 10307, 1271, 6957, 319, 371, 2772, 1118, 338, 1351, 286, 262, 366, 9126, 1802, 42259, 286, 262, 4280, 671, 1911, 198, 198, 818, 3269, 2813, 11, 366, 45, 2178, 1, 373, 2716, 287, 257, 7502, 259, 3250, 18068, 2353, 329, 4631, 10243, 513, 13, 554, 2932, 12131, 11, 340, 11, 1978, 351, 1811, 584, 7502, 259, 3250, 7259, 11, 373, 2087, 287, 281, 4296, 284, 12568, 40506, 13, 198, 198, 22648, 2008, 220, 198, 13470, 276, 416, 4097, 2888, 5689, 367, 15386, 11, 262, 22639, 8188, 286, 262, 2647, 2008, 389, 900, 287, 520, 13, 569, 17506, 32536, 287, 37079, 11, 16639, 2066, 355, 389, 262, 15162, 8188, 13, 383, 1524, 987, 12706, 11, 262, 15806, 11, 262, 20749, 290, 262, 2354, 24817, 389, 900, 287, 38579, 40294, 20159, 3876, 3961, 357, 38, 4948, 77, 6557, 89, 1505, 449, 2271, 3873, 489, 8607, 8, 287, 37079, 13, 383, 7696, 8188, 547, 477, 2823, 319, 37079, 338, 28331, 7516, 10290, 13, 383, 2008, 373, 2823, 625, 2795, 5816, 11, 772, 996, 12435, 396, 26943, 3932, 48405, 373, 7195, 422, 6049, 32692, 290, 736, 24985, 379, 262, 640, 11, 523, 262, 4097, 338, 2854, 373, 18976, 12979, 287, 257, 12336, 41756, 287, 5401, 5652, 13, 383, 2457, 2008, 373, 2716, 1626, 262, 2650, 286, 262, 2060, 1903, 2693, 5816, 13, 198, 198, 464, 2008, 5679, 262, 5928, 290, 1919, 2761, 7452, 1141, 257, 1110, 287, 262, 1204, 286, 281, 24166, 503, 2701, 1862, 4048, 3710, 357, 634, 2433, 276, 416, 25866, 2271, 4319, 5516, 737, 383, 2576, 5729, 16887, 881, 286, 607, 640, 8263, 5986, 11, 13477, 326, 673, 2192, 468, 10625, 286, 5033, 281, 6802, 13, 1375, 318, 5688, 32814, 2817, 290, 47263, 379, 1524, 11, 6402, 326, 618, 673, 318, 1297, 572, 416, 262, 40228, 329, 8263, 287, 1398, 7288, 22051, 379, 607, 290, 573, 1386, 607, 11, 618, 673, 13229, 319, 262, 16046, 8168, 9911, 284, 1037, 607, 510, 11, 290, 326, 618, 673, 8404, 284, 4654, 257, 1448, 286, 4813, 379, 257, 9965, 3084, 484, 3393, 651, 510, 290, 2666, 13, 1318, 389, 635, 2116, 12, 10745, 17823, 2005, 8849, 319, 607, 5101, 11, 543, 4822, 503, 366, 41359, 33, 1911, 5856, 262, 3496, 338, 30032, 11, 673, 318, 3402, 287, 607, 2119, 11, 355, 673, 8470, 510, 607, 4190, 351, 257, 7521, 32680, 11, 290, 12542, 7521, 379, 257, 21978, 287, 8993, 13, 1629, 262, 886, 11, 673, 4539, 656, 262, 4928, 326, 262, 4097, 373, 2712, 287, 11, 2048, 355, 611, 673, 2982, 606, 11, 691, 284, 1064, 262, 4928, 1364, 2157, 6565, 13, 198, 198, 818, 3389, 2864, 11, 262, 3496, 2627, 262, 4097, 338, 717, 2008, 284, 3151, 625, 530, 2997, 5009, 319, 511, 7444, 6518, 13, 198, 198, 1722, 286, 3389, 33448, 11, 262, 3496, 468, 625, 352, 13, 22, 2997, 5009, 290, 838, 1510, 7832, 319, 7444, 13, 198, 198, 48401, 2854, 220, 198, 464, 2610, 2627, 530, 286, 7502, 259, 3250, 338, 749, 19475, 27023, 7259, 11, 355, 880, 355, 530, 286, 511, 749, 26879, 4388, 11, 613, 868, 379, 1271, 1367, 319, 262, 1294, 36229, 6964, 1802, 319, 3945, 1987, 11, 5472, 11, 290, 4581, 513, 2745, 319, 1353, 286, 262, 8774, 5532, 4631, 42259, 290, 1105, 2745, 319, 1353, 286, 262, 12495, 4631, 42259, 13, 366, 45, 2178, 1, 373, 262, 4747, 4372, 1266, 9489, 2060, 319, 262, 36229, 6964, 1802, 1141, 5472, 290, 340, 373, 5610, 379, 1271, 1315, 287, 262, 5559, 7259, 5707, 886, 8262, 13, 1081, 286, 2795, 1946, 11, 262, 3496, 468, 2702, 362, 11, 48597, 11, 830, 9088, 287, 262, 1294, 13, 383, 3496, 302, 12, 298, 1068, 379, 1303, 2327, 287, 2901, 2177, 706, 262, 1918, 286, 26943, 3932, 48405, 11, 477, 1978, 351, 366, 818, 262, 5268, 1, 8262, 278, 379, 1271, 5214, 290, 511, 649, 3496, 366, 33210, 1, 613, 868, 379, 1271, 4153, 13, 198, 198, 464, 3496, 373, 635, 4388, 287, 440, 344, 5411, 11, 613, 868, 379, 1271, 838, 287, 4505, 290, 1271, 1511, 287, 968, 8936, 13, 366, 45, 2178, 1, 318, 635, 511, 14069, 2491, 2060, 287, 4881, 11, 4581, 2242, 2745, 319, 262, 8262, 11, 613, 868, 379, 1271, 678, 26, 340, 373, 635, 4388, 287, 10315, 11, 34366, 262, 25287, 8262, 13, 2102, 11, 340, 691, 10307, 329, 530, 1285, 287, 8031, 290, 319, 262, 21402, 5573, 829, 22086, 13, 198, 198, 24802, 13487, 198, 198, 818, 584, 2056, 290, 8698, 220, 198, 818, 2177, 11, 281, 2691, 25336, 285, 2140, 510, 366, 45, 2178, 1, 351, 262, 1001, 47187, 7505, 3496, 373, 2716, 13, 198, 464, 3496, 318, 973, 416, 3594, 11448, 10543, 3362, 9077, 290, 17036, 10543, 1897, 666, 6669, 544, 355, 281, 10384, 3496, 13, 198, 23609, 72, 1855, 1228, 816, 2966, 262, 3496, 329, 607, 8886, 285, 43938, 11, 1005, 7803, 355, 705, 4834, 7295, 705, 2998, 4458, 198, 464, 14023, 6147, 4097, 5542, 416, 3035, 2716, 257, 3002, 286, 262, 3496, 319, 7444, 706, 26943, 338, 6427, 287, 2177, 13, 198, 37573, 6748, 9077, 5017, 262, 3496, 319, 7444, 706, 3932, 48405, 464, 2351, 2059, 357, 45, 52, 828, 2927, 22696, 1927, 2351, 471, 11, 318, 257, 2839, 1729 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 35210, 422, 257, 45086, 10223, 8420, 12, 4122, 284, 257, 10348, 5440, 393, 2272, 12, 17529, 290, 45441, 460, 307, 10158, 625, 284, 257, 4074, 338, 22320, 23439, 13, 13524, 1626, 257, 3491, 1080, 8833, 1973, 12653, 18868, 379, 12653, 12055, 11, 290, 4361, 772, 351, 262, 14162, 7937, 6007, 286, 517, 621, 838, 38, 286, 20309, 11, 9913, 4107, 927, 3067, 460, 1011, 867, 2250, 13, 8447, 262, 983, 3769, 281, 366, 330, 7015, 378, 640, 1, 2163, 326, 1838, 983, 640, 1208, 379, 838, 11, 1802, 11, 8576, 11, 393, 838, 11, 830, 1661, 262, 3487, 2494, 13, 198, 198, 464, 2071, 286, 48851, 16408, 318, 16019, 416, 262, 779, 286, 257, 8718, 19472, 284, 3067, 1022, 5788, 13, 383, 2137, 460, 2922, 257, 1080, 422, 262, 3491, 3975, 290, 366, 43327, 1, 284, 340, 11, 2810, 484, 389, 13025, 1290, 422, 257, 9443, 13, 1119, 788, 9240, 379, 262, 30140, 286, 326, 3491, 1080, 290, 1276, 787, 511, 835, 284, 511, 10965, 13, 317, 4074, 338, 5415, 2837, 318, 10488, 1864, 284, 663, 2347, 11, 523, 1402, 11, 1657, 7937, 460, 423, 14947, 2280, 1588, 16069, 13, 383, 640, 2077, 284, 3067, 262, 5415, 2837, 318, 1464, 3446, 530, 1285, 11, 351, 12238, 18045, 2263, 1342, 640, 13, 12101, 262, 1334, 286, 262, 983, 338, 3067, 11, 777, 18045, 389, 407, 5924, 287, 617, 3294, 286, 1103, 640, 290, 1656, 2048, 47707, 357, 1169, 1749, 2837, 422, 9951, 11034, 284, 3257, 640, 288, 10520, 737, 317, 45086, 10223, 4391, 5667, 257, 7424, 5574, 6888, 3701, 373, 257, 7915, 18091, 1912, 287, 23732, 287, 6365, 543, 635, 2810, 1633, 17536, 290, 17422, 2594, 13, 632, 373, 4920, 287, 3945, 8235, 290, 318, 257, 2888, 286, 262, 3427, 47089, 3701, 1370, 5396, 357, 46461, 737, 632, 635, 3769, 1633, 22536, 2594, 13, 4698, 262, 25510, 286, 262, 366, 46, 88, 977, 1, 42057, 4912, 11, 1471, 6888, 468, 587, 3190, 27596, 1522, 422, 2641, 503, 11, 290, 481, 8972, 302, 12, 9503, 594, 4560, 319, 257, 3190, 649, 4308, 11, 351, 257, 11026, 286, 10318, 397, 28560, 6215, 13, 1675, 3128, 11, 2158, 11, 262, 18091, 468, 1865, 284, 3045, 594, 4560, 13, 198, 198, 16438, 7443, 198, 198, 5574, 6888, 3701, 373, 717, 9393, 287, 8235, 416, 49838, 64, 2574, 12, 38, 6485, 3216, 290, 29236, 6755, 312, 290, 373, 262, 717, 1633, 17536, 2139, 287, 262, 6046, 3687, 13, 887, 2233, 284, 10059, 2995, 884, 355, 262, 1918, 286, 2574, 12, 38, 6485, 3216, 287, 281, 1633, 7014, 287, 4751, 11, 788, 257, 37758, 287, 262, 19277, 2831, 706, 2693, 1367, 11, 5878, 290, 20577, 4542, 11, 1471, 6888, 3701, 338, 4560, 547, 9951, 287, 5816, 13, 198, 198, 10669, 1366, 198, 198, 40, 13563, 6127, 25, 604, 35, 198, 25241, 46, 6127, 25, 6375, 42, 198, 34, 5691, 570, 25, 6375, 8141, 21664, 55, 40, 198, 198, 47669, 316, 198, 40443, 262, 11026, 373, 25, 198, 198, 17, 532, 360, 16045, 12, 23, 12, 6200, 198, 17, 532, 12477, 2242, 82, 198, 16, 532, 1355, 3055, 3323, 327, 12, 3829, 33, 198, 198, 19927, 628, 197, 198, 198, 7469, 16260, 26225, 286, 6365, 198, 32, 1901, 1127, 4920, 287, 8235, 198, 32, 1901, 1127, 595, 27718, 287, 5816, 198, 16088, 595, 40037, 902, 287, 6365, 198, 39299, 666, 2706, 4920, 287, 8235, 19040, 25043, 2224, 35535, 220, 357, 6286, 2901, 1315, 11, 16101, 8, 318, 281, 1605, 8674, 290, 3437, 13, 35535, 318, 1900, 329, 9176, 287, 5581, 2523, 884, 355, 383, 11801, 11, 220, 1446, 81, 23161, 11, 220, 13937, 8467, 11, 290, 1446, 7642, 11, 290, 287, 7328, 884, 355, 36306, 1849, 18, 13, 679, 468, 635, 8319, 31636, 287, 2168, 1390, 13980, 338, 28880, 9145, 11, 32801, 338, 13509, 11, 290, 2097, 13, 198, 198, 20457, 1204, 198, 37, 48437, 373, 4642, 287, 9470, 2254, 11, 9470, 11, 262, 717, 286, 1115, 6510, 286, 4757, 590, 290, 25464, 35535, 13, 2399, 2988, 373, 281, 3230, 33371, 11, 290, 262, 1641, 5615, 287, 2869, 290, 4505, 1141, 35535, 338, 9963, 13, 383, 1641, 10282, 287, 520, 13, 5593, 11, 11565, 618, 4746, 373, 1315, 812, 1468, 13, 2399, 2802, 3724, 422, 45546, 4890, 618, 339, 373, 1315, 812, 1468, 13, 35535, 9141, 12862, 518, 3334, 3961, 11, 878, 30024, 422, 32108, 3334, 3961, 13, 2399, 29171, 318, 8342, 3427, 25, 3594, 11, 2679, 11, 8685, 290, 11905, 13, 198, 198, 17784, 263, 198, 198, 37, 48437, 338, 19304, 2597, 373, 2712, 33905, 38376, 319, 13937, 8467, 13, 35535, 468, 550, 24824, 8319, 11057, 319, 1446, 81, 23161, 355, 30451, 16095, 338, 13850, 11, 11465, 9077, 11, 290, 319, 32801, 338, 13509, 355, 23501, 13, 198, 198, 37, 48437, 373, 19332, 329, 257, 21432, 18502, 11289, 329, 18502, 15875, 9757, 391, 329, 465, 2597, 287, 36306, 513, 13, 28470, 422, 7205, 11, 35535, 7924, 530, 4471, 286, 13937, 8467, 357, 7174, 366, 464, 30930, 4943, 290, 1115, 8640, 286, 1446, 7642, 13, 554, 3090, 11, 339, 550, 257, 20495, 2597, 355, 26541, 3274, 5016, 5811, 4373, 287, 262, 11133, 2422, 10512, 383, 11801, 11, 1141, 663, 1440, 12, 6230, 1057, 11, 290, 7924, 530, 4471, 13, 679, 8319, 12, 7364, 445, 355, 257, 2563, 12, 2860, 5722, 9283, 18086, 319, 2097, 13, 679, 635, 4635, 262, 37521, 317, 13, 52, 13, 50, 13, 32, 1539, 319, 543, 339, 4120, 13, 198, 198, 37, 48437, 4120, 287, 1115, 8640, 286, 9738, 338, 10997, 15062, 4563, 8329, 13, 679, 4488, 319, 284, 711, 257, 19834, 852, 3402, 7777, 416, 262, 905, 338, 6623, 1103, 7964, 5797, 11, 449, 5028, 11, 2826, 416, 2734, 1452, 2959, 18014, 11, 15398, 1780, 351, 607, 5193, 812, 706, 36306, 513, 13, 35535, 290, 18014, 338, 3435, 2540, 10691, 11, 475, 340, 4444, 2952, 13, 198, 198, 3260, 12655, 319, 911, 13533, 10323, 999, 6, 13980, 338, 28880, 9145, 11, 35535, 4120, 355, 257, 8319, 3491, 319, 262, 1218, 1622, 286, 607, 2277, 905, 1446, 7642, 355, 8599, 14757, 45415, 13, 11450, 326, 614, 339, 373, 2087, 355, 257, 3218, 284, 262, 3350, 13, 198, 198, 37, 48437, 44771, 262, 1085, 2095, 287, 9738, 338, 10512 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 198, 198, 818, 1853, 11, 347, 14242, 11998, 2626, 257, 2775, 8406, 284, 34238, 5780, 4505, 329, 262, 450, 12, 15003, 952, 3047, 286, 14982, 13, 13614, 373, 49237, 284, 1400, 13, 352, 19903, 13614, 3961, 357, 16, 37, 4694, 8, 319, 262, 12693, 7240, 4217, 12, 2481, 13, 383, 3197, 2902, 286, 3047, 287, 11552, 9268, 2540, 287, 2864, 290, 262, 2457, 5984, 37, 1781, 18303, 422, 41646, 4694, 287, 3945, 13130, 13, 554, 262, 812, 286, 4905, 11, 262, 1524, 8776, 6702, 30123, 2422, 290, 5474, 14135, 2444, 290, 12228, 625, 21355, 12877, 5474, 2250, 13, 220, 19903, 3047, 329, 262, 5984, 37, 318, 783, 5952, 379, 352, 37, 4694, 13, 198, 198, 32, 27002, 198, 198, 16130, 198, 198, 19927, 198, 198, 37837, 3707, 290, 3047, 287, 4505, 198, 37837, 4991, 290, 30648, 595, 27718, 287, 13130, 198, 37837, 4991, 290, 30648, 4920, 287, 9656, 1273, 19986, 1222, 27989, 318, 281, 6638, 11554, 286, 1021, 39160, 4490, 43923, 418, 4920, 287, 6303, 355, 22559, 1222, 27989, 24118, 3138, 271, 350, 774, 15302, 13, 220, 383, 9119, 318, 13329, 22559, 13, 220, 383, 1664, 1568, 12572, 290, 7042, 257, 10413, 351, 9966, 7849, 13, 22559, 1222, 27989, 7525, 779, 6638, 4628, 1213, 329, 5103, 13, 383, 1664, 318, 1912, 287, 22410, 287, 968, 2520, 11769, 13, 198, 198, 464, 10914, 12, 38036, 43923, 396, 41459, 5187, 46367, 973, 257, 22559, 1222, 27989, 19132, 618, 8296, 262, 1844, 19132, 3367, 1045, 6772, 286, 44476, 5719, 1355, 2788, 16206, 1141, 7358, 290, 4751, 13, 198, 198, 1273, 19986, 1222, 27989, 468, 2727, 257, 4490, 19132, 351, 1478, 517, 8251, 621, 389, 1043, 319, 257, 3210, 19132, 11, 329, 257, 2472, 286, 15143, 8251, 393, 3624, 290, 530, 2063, 19318, 3080, 13, 317, 2746, 351, 1160, 3131, 8251, 329, 257, 2472, 286, 15495, 393, 5193, 19318, 3080, 373, 3170, 287, 2864, 13, 198, 198, 47, 10115, 7064, 198, 1273, 19986, 43923, 418, 389, 973, 379, 867, 9208, 7064, 3690, 4505, 1390, 25, 198, 11852, 7162, 30732, 286, 7849, 198, 5070, 2097, 11, 11852, 198, 21177, 6017, 2097, 11, 11852, 198, 4333, 4803, 9594, 11852, 198, 29958, 666, 7162, 30732, 286, 7849, 11, 17073, 433, 220, 198, 38036, 10674, 272, 15752, 9870, 198, 46255, 38938, 1505, 5694, 21105, 2059, 198, 5694, 21105, 7162, 30732, 286, 7849, 11, 16640, 323, 11, 21105, 198, 198, 6214, 635, 198, 6395, 6638, 19132, 11372, 198, 198, 13749, 8146, 25, 198, 1355, 1000, 46605, 198, 370, 861, 9096, 46605, 198, 198, 19927, 198, 198, 13518, 3555, 198, 198, 41506, 6117, 198, 1273, 19986, 290, 27989, 5834, 15887, 198, 13434, 4803, 9594, 198, 15086, 5864, 289, 84, 261, 19132, 6140, 284, 18340, 198, 16130, 422, 9538, 25, 19132, 319, 257, 4490, 5046, 198, 23581, 19132, 318, 1994, 284, 11044, 198, 198, 49111, 1912, 287, 22410, 11, 968, 2520, 11769, 198, 10694, 605, 8875, 9138, 2706, 286, 4505, 198, 47, 10115, 9138, 2706, 198, 44445, 870, 2706, 4920, 287, 6303, 198, 38036, 2706, 4920, 287, 6303, 198, 38036, 11394, 464, 40131, 29426, 338, 9594, 7929, 3337, 357, 5653, 34, 8, 318, 257, 17268, 6143, 290, 14903, 6841, 287, 28871, 1044, 11, 10769, 543, 7777, 40131, 17268, 543, 389, 407, 319, 3359, 287, 262, 30794, 13, 220, 220, 632, 318, 407, 3221, 1280, 284, 262, 1171, 11, 2233, 284, 2324, 4786, 11, 220, 996, 10491, 2041, 21284, 389, 8389, 13, 198, 198, 5167, 621, 7175, 1510, 17268, 3709, 220, 389, 23707, 379, 262, 337, 6173, 13, 220, 770, 28800, 6702, 2319, 1411, 286, 262, 40131, 338, 4947, 543, 318, 407, 319, 3359, 11, 981, 262, 1334, 286, 262, 5563, 389, 23707, 2157, 12, 1169, 12, 28123, 287, 262, 30794, 2405, 393, 379, 584, 572, 12, 15654, 6143, 7291, 13, 198, 198, 464, 17268, 389, 23707, 287, 1936, 25840, 6832, 11, 1444, 366, 47, 12978, 553, 1123, 546, 262, 2546, 286, 257, 513, 12, 13571, 12, 35429, 4346, 2214, 13, 220, 383, 37185, 2472, 42671, 11, 830, 6616, 3625, 286, 17268, 6143, 2272, 13, 220, 220, 1892, 540, 3033, 2291, 366, 268, 579, 516, 11657, 329, 12724, 22206, 38556, 11, 23204, 284, 12201, 33149, 19999, 2737, 11, 1242, 422, 3690, 262, 9337, 11, 290, 257, 10214, 1092, 4947, 351, 1936, 4077, 20089, 526, 198, 198, 464, 337, 6173, 373, 7256, 287, 1737, 13540, 11, 706, 734, 812, 286, 5103, 290, 3478, 812, 286, 5410, 13, 220, 632, 4721, 351, 262, 717, 1440, 37185, 11, 5556, 9730, 11, 27887, 11, 290, 3352, 284, 4292, 656, 734, 3224, 37185, 13, 383, 8150, 24573, 373, 7256, 287, 3035, 4343, 379, 262, 7627, 886, 286, 262, 337, 6173, 11, 290, 783, 7777, 477, 286, 262, 2351, 9594, 286, 12068, 7443, 338, 10685, 17268, 357, 1495, 1510, 27569, 8, 17232, 287, 28704, 11, 1900, 355, 262, 366, 86, 316, 17268, 526, 198, 198, 464, 2858, 1626, 262, 337, 6173, 318, 14084, 6856, 287, 1502, 284, 17775, 2928, 319, 17268, 11, 290, 318, 1912, 319, 2267, 416, 12037, 379, 262, 9594, 23702, 5136, 357, 75, 10533, 379, 262, 337, 6173, 8, 290, 262, 40131, 338, 4452, 286, 48939, 11, 14044, 290, 16205, 13, 220, 383, 2496, 5951, 318, 4143, 900, 379, 4317, 7370, 35935, 11502, 16327, 604, 7370, 828, 351, 3585, 27716, 379, 4153, 1411, 11502, 16327, 807, 1411, 737, 198, 198, 818, 663, 14010, 290, 2607, 3006, 11, 262, 337, 6173, 7777, 262, 40131, 338, 9594, 23702, 5136, 357, 9655, 40, 828, 262, 46779, 286, 16213, 22869, 24698, 357, 48780, 8, 290, 584, 6409, 13346, 422, 262, 2351, 9594, 286, 12068, 7443, 11, 1390, 262, 2732, 286, 50171, 11, 262, 2351, 32898, 2770, 22275, 357, 45, 3838, 828, 262, 5524, 10422, 13741, 22275, 357, 7998, 7708, 828, 262, 15819, 16105, 347, 4267, 6781, 23372, 11801, 357, 18564, 19499, 828, 355, 880, 355, 8478, 286, 262, 40131, 29426, 46267, 13, 198, 198, 19927, 198, 198, 17919, 35202, 29426, 30794, 198, 29279, 33228, 287, 10769, 198, 44, 1904, 5700, 4920, 287, 13540, 198, 198, 41506, 6117, 198, 44, 6744, 7929, 3337, 319, 2351, 9594, 286, 12068, 7443, 35699, 198, 13152, 19020, 21616, 319, 9594, 7929, 3337, 319, 40131, 29426, 35699, 27898, 357, 36760, 16917, 38868, 3611, 8, 36815, 6219, 8261, 373, 257 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2436, 539, 3947, 284, 1011, 2614, 5798, 329, 3016, 2506, 1088, 683, 764, 72, 4978, 262, 6317, 287, 465, 2951, 618, 339, 5158, 286, 683, 837, 475, 355, 2952, 355, 339, 705, 67, 4721, 510, 837, 339, 705, 67, 4838, 2241, 572, 757, 764, 72, 2227, 284, 9245, 683, 788, 837, 37700, 503, 262, 582, 1312, 6151, 290, 523, 20388, 262, 2356, 326, 991, 18459, 1068, 1626, 683, 764, 72, 4251, 510, 11105, 9404, 290, 18912, 1496, 465, 19353, 287, 616, 18057, 764, 258, 2900, 656, 616, 18342, 837, 12560, 465, 1021, 625, 6164, 290, 6225, 616, 18057, 510, 284, 9245, 340, 15165, 878, 10427, 340, 866, 4291, 262, 18507, 1022, 514, 764, 15506, 466, 299, 470, 307, 8805, 379, 502, 837, 10148, 1312, 34042, 764, 15506, 1312, 705, 76, 407, 764, 72, 466, 299, 470, 588, 3375, 546, 428, 764, 10148, 15506, 345, 1244, 1254, 1365, 611, 345, 750, 764, 10148, 258, 7128, 22739, 290, 11686, 465, 2951, 764, 72, 714, 1254, 683, 29612, 2252, 1497, 422, 502, 379, 262, 13052, 764, 72, 27803, 616, 1021, 739, 465, 10147, 837, 5763, 803, 790, 32525, 286, 465, 2352, 739, 616, 40142, 764, 72, 373, 5295, 284, 26166, 683, 503, 286, 428, 10038, 339, 705, 67, 9292, 656, 764, 22366, 1718, 502, 1497, 422, 262, 40428, 2522, 1647, 286, 616, 6066, 1365, 621, 852, 12105, 351, 698, 539, 764, 72, 9885, 262, 976, 373, 2081, 329, 683, 764, 15506, 1312, 2051, 345, 764, 10148, 14363, 1986, 18397, 290, 1312, 13541, 837, 22598, 764, 258, 9660, 9091, 616, 1986, 2697, 1156, 306, 837, 35328, 257, 3108, 422, 616, 19353, 284, 616, 22531, 764, 19052, 1312, 714, 910, 1997, 517, 837, 339, 48719, 465, 11914, 625, 6164, 290, 1718, 616, 5422, 287, 257, 9245, 764, 4215, 290, 15403, 837, 262, 9245, 2952, 2627, 16968, 764, 258, 5954, 1497, 25891, 764, 15506, 644, 5633, 10148, 258, 3114, 1613, 502, 764, 15506, 1312, 1275, 299, 470, 466, 428, 826, 783, 764, 10148, 15506, 644, 466, 345, 1612, 5633, 10148, 72, 965, 2860, 992, 683, 262, 835, 1312, 705, 67, 2227, 284, 837, 616, 23967, 287, 10813, 510, 29077, 1473, 1029, 764, 72, 5954, 683, 656, 1194, 9245, 764, 72, 610, 1740, 656, 465, 7721, 837, 4305, 645, 2272, 1022, 514, 837, 49666, 329, 465, 3638, 764, 3919, 14556, 550, 1312, 277, 6347, 616, 2832, 287, 465, 4190, 837, 339, 5954, 736, 837, 39402, 3039, 616, 9353, 290, 4769, 606, 15165, 416, 616, 5389, 764, 15506, 1931, 3970, 837, 2245, 764, 72, 761, 2644, 284, 3608, 572, 764, 10148, 19052, 1312, 714, 1808, 683, 837, 339, 279, 16898, 616, 19341, 15165, 837, 257, 6737, 284, 1445, 572, 286, 683, 764, 38246, 306, 1312, 23278, 764, 258, 35622, 284, 262, 9592, 810, 339, 2067, 284, 3424, 510, 764, 72, 5399, 683, 290, 2067, 5742, 837, 475, 339, 5025, 502, 764, 15506, 340, 705, 82, 8788, 764, 72, 705, 297, 1011, 1337, 286, 428, 764, 10148, 258, 24487, 290, 7452, 502, 764, 25909, 1028, 262, 3753, 351, 465, 10359, 837, 339, 3114, 390, 984, 2280, 9341, 6402, 262, 12097, 326, 11686, 572, 683, 764, 15506, 6004, 837, 1312, 705, 303, 1392, 617, 670, 284, 466, 329, 9439, 837, 290, 340, 5238, 588, 345, 466, 1165, 764, 4598, 345, 2000, 611, 356, 869, 340, 281, 1903, 1755, 5633, 10148, 72, 16499, 465, 2951, 329, 7429, 837, 475, 339, 3947, 355, 4692, 290, 4838, 572, 355, 1683, 764, 72, 18484, 837, 19987, 290, 4046, 1203, 837, 45590, 1327, 355, 262, 17927, 10282, 625, 502, 764, 18108, 1312, 1293, 276, 1165, 881, 5633, 20839, 299, 470, 339, 1833, 616, 3840, 329, 10291, 284, 760, 5633, 37814, 1312, 1807, 284, 910, 736, 14846, 46299, 837, 12111, 837, 287, 616, 2000, 764, 22850, 466, 299, 470, 345, 765, 284, 307, 351, 502, 5633, 22850, 1275, 299, 470, 1312, 2652, 5633, 1169, 1807, 286, 683, 18877, 883, 2683, 12698, 12008, 502, 764, 72, 373, 299, 470, 1654, 611, 1312, 2227, 284, 760, 1521, 339, 750, 299, 470, 765, 502, 9975, 764, 9, 616, 7962, 373, 6565, 290, 46443, 351, 645, 5895, 286, 9785, 393, 477, 72, 284, 8624, 262, 37378, 290, 5938, 326, 18989, 625, 502, 764, 2436, 539, 550, 1239, 2823, 502, 866, 878, 764, 72, 373, 12049, 284, 1494, 290, 262, 582, 550, 257, 22336, 1714, 3708, 764, 11246, 4919, 356, 705, 67, 11803, 262, 1613, 1178, 1528, 2354, 286, 1123, 584, 705, 82, 20237, 837, 475, 783, 339, 373, 7796, 502, 1497, 5633, 72, 5710, 616, 27517, 319, 262, 3753, 290, 6204, 287, 262, 5897, 11854, 286, 262, 2119, 837, 2111, 284, 3785, 503, 703, 698, 539, 705, 82, 24250, 546, 465, 1613, 550, 7986, 884, 257, 35901, 1022, 514, 764, 72, 1816, 284, 262, 14043, 290, 15276, 3589, 287, 262, 10162, 764, 72, 2936, 7818, 764, 2436, 539, 550, 299, 470, 655, 2823, 866, 257, 1755, 287, 465, 3996, 764, 5562, 339, 750, 299, 470, 765, 502, 2005, 502, 284, 262, 4755, 837, 4305, 502, 351, 257, 6639, 290, 23292, 4203, 764, 3919, 764, 72, 714, 299, 470, 1309, 428, 467, 764, 72, 9153, 736, 503, 837, 23256, 616, 8251, 319, 262, 835, 764, 72, 1309, 3589, 656, 698, 539, 705, 82, 7962, 475, 339, 373, 12062, 284, 307, 1043, 764, 72, 6807, 866, 284, 465, 14043, 810, 1312, 2982, 262, 14643, 2491, 764, 72, 41723, 379, 262, 32439, 3756, 656, 262, 551, 18389, 12436, 764, 9579, 262, 5405, 837, 1312, 714, 766, 698, 539, 705, 82, 2832, 12070, 1028, 262, 3355, 837, 1660, 23147, 866, 465, 4858, 21303, 5165, 5739, 764, 258, 373, 4950, 837, 3805, 262, 25303, 326, 550, 47092, 625, 514, 290, 8556, 674, 1755, 764, 72, 1718, 1194, 2239, 2651, 764, 258, 2900, 465, 1182, 3812, 502, 764, 72, 6204, 991, 837, 4953, 329, 465, 6317, 764, 258, 2900, 572, 262, 14643, 764, 1820, 8033, 4978, 379, 262, 6504, 286, 683, 355, 339, 9349, 764, 4625, 3487, 5917, 698, 539, 373, 257, 6504, 284, 23700, 764, 2197, 837, 19278, 12105, 290, 37472, 9583, 837, 339, 714, 407, 423, 587, 517, 8036, 764, 64, 6994, 31674, 286, 27543, 8737, 764, 2188, 577, 4435, 862, 307, 5286, 465, 4168, 290, 465, 7540 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 764, 270, 705, 82, 407, 588, 673, 705, 82, 534, 1266, 1545, 393, 1641, 764, 10148, 72, 373, 3608, 351, 474, 418, 494, 49620, 1863, 764, 4563, 400, 2644, 880, 837, 1312, 705, 67, 6292, 340, 764, 4360, 474, 349, 1734, 262, 474, 35270, 26511, 14710, 5633, 72, 466, 299, 470, 892, 523, 764, 15506, 1682, 837, 356, 705, 260, 1111, 764, 10148, 15506, 345, 705, 260, 1111, 644, 5633, 10148, 15506, 1266, 2460, 290, 1641, 837, 10148, 474, 418, 494, 9373, 351, 257, 32545, 764, 15506, 345, 705, 260, 427, 715, 259, 705, 502, 837, 826, 5633, 10148, 72, 27846, 1022, 474, 418, 494, 290, 474, 349, 1734, 764, 15506, 427, 715, 259, 705, 345, 407, 764, 732, 705, 260, 28706, 764, 10148, 4053, 837, 7510, 764, 15506, 356, 705, 260, 691, 1266, 2460, 780, 618, 345, 2648, 790, 3931, 1978, 351, 1194, 2576, 837, 7373, 262, 6982, 286, 1243, 4813, 2648, 837, 880, 2644, 345, 1611, 286, 1716, 1266, 2460, 416, 4277, 764, 10148, 15506, 750, 345, 760, 428, 5633, 10148, 72, 3114, 379, 474, 35270, 837, 991, 44432, 764, 258, 13663, 257, 8163, 764, 15506, 10194, 764, 72, 1612, 837, 474, 349, 1734, 705, 82, 9658, 351, 474, 418, 494, 705, 82, 1641, 790, 3931, 837, 2845, 938, 614, 618, 673, 373, 351, 262, 4167, 16812, 764, 5832, 705, 260, 262, 976, 2479, 837, 1165, 837, 826, 5633, 10148, 15506, 3613, 329, 1115, 1933, 837, 10148, 474, 418, 494, 531, 764, 15506, 616, 837, 389, 299, 470, 345, 262, 474, 349, 1734, 5887, 837, 10148, 1312, 1036, 11137, 764, 72, 373, 299, 470, 1107, 9247, 351, 683, 475, 351, 262, 3074, 764, 1169, 2576, 1312, 373, 1654, 1312, 750, 299, 470, 765, 1626, 257, 3478, 12, 5898, 16825, 286, 616, 13850, 373, 2495, 881, 8165, 284, 683, 416, 25179, 764, 15506, 290, 474, 349, 1734, 2058, 994, 790, 3931, 780, 2644, 673, 7832, 262, 31068, 5633, 10148, 5562, 938, 636, 373, 299, 470, 3446, 257, 1808, 764, 270, 373, 3489, 703, 881, 673, 8359, 262, 7559, 31068, 10148, 764, 15506, 673, 6348, 510, 287, 2051, 2852, 64, 475, 7832, 4581, 607, 43285, 287, 262, 1499, 764, 7091, 3221, 655, 16887, 262, 3931, 37241, 1088, 351, 502, 837, 475, 618, 673, 1043, 503, 285, 3808, 13, 2513, 263, 2622, 257, 1021, 428, 1622, 837, 673, 14547, 11687, 379, 262, 3663, 764, 10148, 72, 48560, 257, 1310, 18485, 656, 616, 5852, 764, 15506, 1312, 731, 673, 750, 764, 10148, 1169, 4324, 508, 418, 704, 1280, 757, 764, 15506, 17207, 764, 1820, 19317, 318, 546, 284, 2121, 572, 422, 739, 1904, 736, 994, 764, 14925, 356, 714, 2866, 340, 510, 290, 9240, 17291, 428, 614, 5633, 10148, 15506, 922, 12, 16390, 837, 5482, 400, 290, 5482, 400, 705, 82, 19317, 764, 2118, 287, 4167, 764, 10148, 72, 750, 299, 470, 11393, 284, 787, 1654, 465, 1986, 373, 503, 286, 262, 835, 878, 22292, 262, 5405, 4838, 764, 15506, 474, 418, 494, 837, 345, 705, 260, 5149, 502, 790, 3329, 837, 474, 349, 1734, 3011, 510, 290, 10182, 1969, 284, 8208, 4608, 284, 11778, 1497, 287, 257, 9592, 780, 673, 714, 299, 470, 892, 286, 257, 1365, 835, 284, 4341, 607, 3931, 5633, 10148, 1662, 764, 11110, 1112, 764, 270, 764, 15506, 673, 318, 299, 470, 10589, 379, 616, 1295, 837, 10038, 88, 764, 10148, 73, 418, 494, 3114, 1022, 502, 290, 474, 35270, 588, 356, 547, 44865, 764, 15506, 788, 810, 262, 5968, 705, 82, 673, 10589, 5633, 259, 257, 11105, 5633, 10148, 25991, 326, 373, 262, 4167, 16812, 835, 764, 1462, 2005, 866, 319, 6588, 8971, 393, 1223, 588, 326, 764, 15506, 673, 705, 82, 10589, 379, 262, 2513, 364, 764, 3003, 750, 345, 892, 673, 705, 67, 307, 10589, 5633, 5832, 10783, 284, 760, 764, 5832, 547, 262, 530, 1762, 612, 938, 614, 764, 10148, 15506, 475, 1312, 9658, 612, 780, 616, 1363, 373, 734, 2585, 1497, 837, 474, 418, 494, 764, 9930, 550, 284, 467, 503, 286, 511, 835, 284, 787, 257, 2119, 329, 502, 2644, 10148, 290, 788, 1223, 1312, 1107, 750, 299, 470, 765, 284, 3904, 656, 1295, 750, 764, 72, 19074, 287, 616, 5852, 477, 262, 835, 523, 1312, 714, 804, 379, 474, 35270, 1336, 319, 508, 373, 41465, 1863, 284, 45610, 3281, 5003, 837, 2111, 284, 2652, 503, 286, 262, 5273, 764, 15506, 11752, 837, 5968, 645, 764, 33331, 502, 12, 29688, 1560, 502, 12, 7091, 318, 407, 11029, 287, 534, 2119, 764, 10148, 15506, 340, 705, 82, 407, 1107, 616, 2119, 7471, 837, 10148, 474, 35270, 8712, 837, 2045, 588, 339, 373, 5137, 465, 3280, 1978, 7773, 764, 15506, 1312, 423, 299, 470, 21256, 287, 340, 1201, 938, 6076, 878, 345, 1625, 764, 1169, 691, 1048, 326, 705, 82, 587, 11029, 287, 340, 318, 12, 10148, 7559, 502, 5145, 10148, 72, 750, 299, 470, 1612, 284, 11495, 837, 475, 1312, 991, 750, 764, 15506, 810, 716, 1312, 4385, 284, 3993, 783, 5633, 273, 716, 1312, 852, 12165, 503, 5633, 25991, 1312, 460, 900, 510, 257, 269, 313, 287, 262, 25203, 393, 1223, 764, 19545, 284, 262, 14260, 764, 10148, 16885, 474, 418, 494, 290, 474, 35270, 3114, 379, 502, 588, 1312, 705, 67, 2626, 616, 2000, 764, 10197, 287, 616, 848, 11857, 276, 1181, 837, 1312, 2993, 1312, 373, 1969, 284, 340, 764, 1169, 2119, 373, 655, 2644, 2041, 764, 270, 2936, 588, 6164, 837, 588, 16903, 837, 290, 6970, 326, 2130, 2073, 373, 2877, 287, 340, 925, 502, 1254, 257, 7684, 286, 1243, 1312, 750, 299, 470, 588, 1058, 8993, 837, 35394, 837, 25303, 837, 290, 772, 257, 1310, 1643, 23292, 764, 1169, 938, 530, 12008, 502, 262, 749, 764, 15506, 644, 5633, 808, 268, 837, 645, 837, 286, 1781, 407, 764, 9948, 76, 866, 764, 10148, 73, 35270, 705, 82, 1021, 5710, 284, 616, 1232, 764, 15506, 345, 705, 260, 2263, 616, 2119, 290, 1312, 705, 76, 11029, 287, 262, 36355, 4803, 351, 262, 1334, 286, 262, 3730, 764, 72, 815, 423, 1297, 345, 326, 938, 1755, 837, 475, 356, 750, 299, 470, 3446, 787, 340, 284, 3996, 2644, 10148, 474, 418, 494, 3114, 503, 262, 4324, 290, 14869, 764, 72, 289, 18339, 837 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 683, 866, 764, 1169, 938, 1517, 484, 2622, 373, 329, 683, 284, 4245, 757, 837, 2592, 1201, 484, 705, 67, 655, 7448, 465, 1204, 764, 4360, 612, 373, 645, 4769, 427, 1531, 837, 407, 329, 890, 764, 4480, 257, 4202, 326, 1931, 291, 550, 299, 470, 1775, 878, 837, 427, 1531, 6265, 1479, 286, 511, 11762, 764, 258, 48480, 284, 465, 3625, 764, 301, 1144, 379, 262, 2046, 764, 35626, 2993, 3446, 644, 262, 410, 696, 373, 5410, 764, 15506, 1312, 481, 2686, 345, 757, 837, 10148, 1931, 291, 37964, 764, 15506, 345, 705, 260, 407, 1016, 736, 656, 883, 16209, 764, 5832, 760, 262, 2046, 481, 1494, 345, 764, 10148, 15506, 267, 16017, 544, 5145, 10148, 372, 1438, 373, 257, 7332, 12061, 3960, 764, 392, 262, 9192, 2067, 284, 1057, 284, 262, 2046, 764, 12758, 837, 1194, 10492, 284, 262, 2612, 5633, 9776, 326, 644, 340, 561, 1011, 5633, 9776, 339, 1016, 284, 423, 284, 2686, 465, 1545, 757, 5633, 4360, 788, 262, 16209, 655, 2644, 3724, 1497, 764, 259, 281, 9113, 837, 262, 8469, 1359, 286, 262, 2046, 5025, 764, 5796, 2088, 38648, 15376, 287, 262, 1633, 764, 15506, 1312, 460, 2644, 8508, 607, 837, 10148, 12574, 5171, 531, 837, 22655, 19987, 764, 1102, 13099, 7452, 262, 50045, 3793, 286, 262, 9351, 764, 15506, 523, 460, 1312, 764, 10148, 258, 14846, 655, 355, 19987, 355, 12574, 5171, 764, 15506, 673, 815, 307, 2636, 837, 655, 12530, 837, 475, 1312, 460, 8508, 607, 764, 10148, 1219, 837, 5968, 764, 38169, 284, 262, 277, 8482, 3696, 326, 339, 705, 67, 17535, 837, 262, 835, 284, 1494, 257, 42625, 3732, 373, 4385, 284, 307, 257, 10309, 6087, 286, 2046, 290, 2910, 764, 4360, 262, 835, 284, 7765, 510, 257, 42625, 3732, 705, 82, 5635, 2644, 262, 835, 284, 11457, 262, 11854, 1626, 2644, 2042, 7523, 3013, 4335, 3812, 606, 355, 484, 477, 6204, 612, 837, 12912, 764, 1169, 7523, 6364, 32008, 515, 764, 392, 618, 262, 7523, 23717, 837, 267, 16017, 544, 373, 612, 764, 372, 9528, 550, 11544, 1497, 837, 475, 607, 11222, 4120, 555, 3876, 445, 764, 7091, 6807, 3892, 3812, 606, 351, 3105, 837, 1728, 4831, 764, 15506, 267, 16017, 544, 5633, 10148, 1477, 1531, 4966, 3812, 607, 764, 14363, 1021, 8970, 1088, 607, 3211, 837, 290, 355, 2582, 355, 339, 12615, 607, 837, 257, 10484, 286, 2042, 7523, 1509, 49376, 287, 262, 1633, 757, 764, 1169, 42625, 3732, 389, 8109, 286, 7523, 290, 5536, 764, 258, 705, 67, 1100, 326, 33274, 287, 262, 3696, 339, 705, 67, 17535, 764, 349, 20817, 14707, 287, 427, 1531, 705, 82, 5101, 764, 258, 13663, 607, 510, 837, 2714, 607, 7173, 1028, 465, 7721, 764, 14363, 2951, 547, 4295, 837, 465, 5408, 285, 2860, 2945, 355, 339, 348, 49376, 3812, 1931, 291, 764, 15506, 257, 547, 18829, 1643, 607, 837, 10148, 427, 1531, 531, 837, 3809, 374, 14655, 764, 15506, 826, 878, 262, 2046, 2644, 1312, 2497, 683, 13197, 607, 5145, 7091, 2476, 1037, 5145, 16794, 5145, 10148, 71, 5098, 34351, 284, 465, 1735, 837, 475, 1931, 291, 750, 299, 470, 1445, 764, 258, 2993, 267, 16017, 544, 285, 2860, 1140, 373, 3675, 1037, 764, 8162, 673, 5938, 2644, 257, 12270, 1256, 764, 349, 20817, 7128, 22739, 290, 4721, 607, 2951, 764, 7091, 373, 287, 257, 6283, 3996, 764, 272, 22594, 2119, 764, 392, 673, 373, 41529, 764, 9776, 428, 5033, 262, 1621, 286, 607, 1204, 5633, 7091, 27762, 2004, 319, 262, 47291, 764, 270, 373, 6692, 284, 262, 1735, 286, 644, 3114, 588, 257, 4436, 3996, 764, 64, 3420, 1126, 4335, 1280, 764, 5898, 20214, 44582, 3812, 607, 764, 349, 20817, 27846, 625, 290, 2497, 289, 5098, 14985, 1474, 262, 3996, 764, 15506, 345, 3088, 284, 1368, 502, 262, 938, 640, 1312, 373, 994, 837, 10148, 289, 5098, 531, 26625, 764, 15506, 262, 44473, 547, 329, 616, 4800, 764, 10148, 64, 4506, 14985, 764, 15506, 611, 345, 705, 260, 736, 287, 1630, 837, 1312, 460, 1011, 606, 572, 764, 10148, 15506, 1312, 705, 76, 287, 1630, 764, 10148, 372, 3809, 14846, 8258, 284, 607, 898, 11368, 764, 18820, 4791, 2584, 290, 374, 5126, 88, 764, 349, 20817, 12539, 607, 13589, 764, 71, 5098, 14274, 46288, 262, 269, 18058, 764, 349, 20817, 1807, 546, 6076, 278, 3812, 262, 2415, 837, 475, 673, 550, 8072, 407, 284, 5938, 607, 764, 1640, 262, 2589, 837, 6949, 764, 15506, 810, 716, 1312, 5633, 10148, 349, 20817, 1965, 290, 607, 3809, 991, 14846, 8258, 764, 2339, 2130, 2073, 373, 3375, 764, 15506, 356, 3181, 345, 287, 284, 530, 286, 262, 31215, 4326, 705, 82, 37149, 3006, 764, 79, 378, 6834, 345, 481, 307, 14178, 994, 780, 340, 705, 82, 257, 1295, 326, 318, 299, 470, 2644, 319, 262, 3835, 764, 1169, 691, 661, 508, 760, 546, 340, 389, 883, 286, 514, 994, 783, 764, 10148, 349, 20817, 300, 9484, 607, 11914, 290, 37964, 673, 29187, 12530, 764, 15506, 262, 2046, 12, 271, 427, 1531, 477, 826, 5633, 10148, 7091, 12086, 4379, 683, 837, 826, 878, 326, 9482, 13387, 550, 1282, 21899, 866, 4291, 607, 764, 15506, 339, 705, 82, 3734, 764, 2411, 897, 764, 10148, 71, 5098, 9763, 510, 257, 1178, 4831, 764, 15506, 345, 705, 260, 262, 530, 508, 373, 2644, 6686, 764, 10148, 349, 20817, 27846, 866, 379, 607, 1767, 764, 7091, 750, 299, 470, 766, 597, 14129, 764, 15506, 257, 547, 18829, 1643, 345, 764, 10148, 349, 20817, 781, 259, 1740, 764, 7091, 750, 299, 470, 3505, 326, 636, 764, 265, 477, 764, 15506, 523, 837, 1864, 284, 477, 262, 1321, 1312, 760, 837, 257, 547, 18829, 13197, 1724, 326, 345, 815, 307, 2636, 393, 25449, 764, 10148, 71, 5098, 14682, 607, 1182, 764, 15506, 475, 326, 705, 82, 407, 5836, 764, 1662, 351, 345, 764, 10148, 349, 20817, 705, 82, 8033, 508, 418, 704, 503, 764, 71, 5098, 373, 2642, 764, 273, 673, 373, 9105, 764, 15506, 1312, 12, 72, 373, 299, 470, 38854, 764, 10148, 15506, 345, 743, 655, 307, 262, 13996, 329, 262, 547, 18829, 10280, 764, 64, 1048, 508, 318, 299, 470, 22084, 837, 508, 468, 257, 3288, 16989, 1028, 262, 13197, 764, 10148, 3919, 764, 8117, 318, 645, 13996, 329, 257 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 13, 198, 198, 5824, 13, 18, 23264, 383, 13388, 550, 257, 3748, 835, 286, 22097, 2405, 287, 262, 1402, 36849, 7501, 1910, 13, 383, 8034, 1627, 373, 47166, 3706, 383, 28944, 6910, 11, 262, 1664, 4038, 357, 64, 23327, 791, 78, 6656, 8, 373, 1444, 383, 13388, 15447, 290, 484, 550, 257, 6964, 6882, 1444, 262, 28944, 6882, 13, 3819, 717, 338, 329, 5243, 287, 36849, 7501, 3017, 2107, 22978, 422, 262, 2968, 1755, 4136, 11, 383, 7439, 10417, 13, 44244, 2107, 422, 807, 4426, 1566, 9605, 640, 379, 513, 716, 11, 925, 329, 845, 17774, 5243, 351, 257, 1178, 9687, 852, 925, 284, 262, 32250, 20130, 11416, 13, 383, 13388, 635, 550, 1336, 12, 2435, 2581, 1627, 290, 635, 550, 257, 9149, 326, 262, 976, 3496, 561, 407, 307, 2826, 757, 422, 718, 321, 284, 1105, 15896, 13, 220, 554, 2276, 11, 612, 373, 645, 2176, 33178, 11, 290, 2335, 7999, 7690, 7259, 326, 18235, 656, 262, 9376, 326, 547, 8686, 329, 262, 640, 10852, 13, 198, 198, 818, 8309, 262, 4429, 3888, 284, 10495, 13, 21, 23264, 290, 12412, 2627, 1900, 355, 10495, 13, 21, 23264, 383, 13388, 13, 770, 6482, 11, 739, 649, 4542, 290, 9238, 11, 357, 29800, 13152, 6168, 11, 36849, 7501, 8, 2497, 262, 4429, 1487, 12121, 284, 257, 517, 7125, 5022, 621, 262, 705, 5439, 577, 6, 5794, 484, 550, 319, 10048, 13, 18, 23264, 13, 220, 383, 1966, 10048, 13, 18, 23264, 8373, 11, 543, 373, 40352, 422, 314, 391, 520, 2977, 11, 373, 2702, 284, 8829, 23044, 284, 7025, 383, 4631, 656, 36849, 7501, 13, 554, 4751, 262, 4429, 373, 8155, 416, 383, 2258, 1044, 8829, 5834, 257, 1664, 543, 12228, 509, 4093, 18695, 287, 262, 2258, 1044, 3814, 11, 530, 287, 18481, 273, 6413, 357, 464, 15561, 10048, 13, 18, 23264, 8, 290, 1194, 287, 36849, 7501, 357, 464, 15561, 6957, 13, 24, 23264, 737, 220, 1119, 25121, 383, 13388, 284, 36849, 7501, 338, 10495, 13, 21, 23264, 13, 11450, 287, 4751, 262, 4429, 373, 2077, 625, 416, 383, 8829, 7311, 290, 4838, 866, 290, 6928, 351, 8829, 367, 2899, 8182, 13, 198, 198, 41506, 6117, 198, 10048, 13, 18, 23264, 383, 13388, 3203, 7873, 198, 198, 26093, 8985, 287, 968, 8936, 198, 20273, 2056, 287, 36849, 79, 13090, 198, 7469, 16260, 5243, 8985, 287, 968, 8936, 464, 327, 57, 12298, 45523, 318, 281, 38255, 699, 7348, 8848, 1657, 12, 82, 634, 6215, 4635, 416, 16639, 12771, 30767, 287, 262, 16639, 2066, 13, 198, 198, 23067, 290, 2478, 198, 464, 45523, 468, 257, 24185, 23644, 290, 15955, 12098, 11, 351, 4192, 372, 8398, 3113, 290, 257, 27020, 6933, 7894, 13, 6363, 220, 11506, 3095, 12, 5469, 468, 281, 1989, 286, 220, 290, 318, 10911, 351, 781, 1686, 13, 383, 3210, 3113, 318, 262, 220, 24404, 35406, 4747, 405, 1440, 12, 30757, 1176, 15060, 13, 198, 198, 3886, 3426, 2321, 262, 6215, 373, 645, 2392, 4438, 329, 5466, 416, 327, 4090, 13, 198, 198, 22882, 6637, 357, 34, 57, 12298, 45523, 8, 198, 198, 19927, 198, 198, 11024, 82, 16639, 6332, 6215, 198, 15047, 12, 82, 634, 6215, 198, 49095, 16659, 198, 28008, 12, 1516, 1389, 4192, 372, 6215, 198, 44, 7780, 1698, 3163, 67, 5069, 343, 366, 2782, 72, 1, 11738, 272, 347, 5753, 3301, 357, 6286, 1315, 1737, 27937, 8, 318, 281, 3942, 12, 7437, 11444, 287, 262, 1989, 1729, 29127, 17262, 13, 383, 4343, 4037, 8785, 319, 27684, 8504, 29127, 33806, 357, 2149, 6981, 828, 2714, 287, 28148, 1872, 11, 13708, 11, 373, 257, 277, 3558, 354, 35357, 2714, 287, 465, 7522, 286, 465, 5996, 400, 10955, 13, 198, 198, 29478, 4662, 198, 818, 5472, 11, 347, 5753, 3301, 373, 7018, 284, 29764, 286, 262, 1605, 16331, 7023, 357, 44580, 8, 329, 366, 16244, 278, 262, 13905, 12933, 286, 31210, 1729, 29127, 6382, 605, 24969, 2024, 2592, 287, 262, 4583, 11, 3586, 290, 3037, 286, 3995, 354, 3477, 29371, 40471, 526, 2399, 277, 3558, 354, 35357, 287, 7522, 286, 465, 5996, 400, 10955, 11, 543, 11, 329, 2604, 2569, 3840, 11, 373, 2714, 618, 339, 373, 7265, 13, 198, 198, 30650, 416, 347, 5753, 3301, 628, 311, 13, 20127, 48590, 290, 317, 13, 347, 5753, 3301, 11, 357, 276, 6742, 8, 16232, 26622, 286, 8504, 29127, 33806, 11, 43100, 12, 13414, 30909, 11, 11307, 11, 4793, 11, 220, 198, 317, 13, 347, 5753, 3301, 11, 30964, 290, 13903, 287, 262, 20445, 45880, 2389, 11, 4452, 286, 20818, 4992, 11, 9768, 11, 7054, 1268, 347, 830, 21, 49, 17, 44, 20, 40, 198, 317, 13, 347, 5753, 3301, 11, 15062, 10137, 47986, 12, 35, 437, 46015, 10854, 274, 25, 43457, 520, 5374, 3477, 17417, 290, 262, 14691, 286, 26309, 833, 1299, 11, 4452, 286, 20818, 4992, 11, 9162, 11, 7054, 1268, 347, 830, 21, 49, 17, 46, 24, 34, 198, 449, 13, 347, 13, 31996, 83, 365, 290, 317, 13, 347, 5753, 3301, 11, 357, 276, 6742, 8, 27684, 8504, 29127, 33806, 290, 520, 5374, 3477, 11998, 20173, 262, 9212, 268, 58, 77, 60, 1505, 11, 43184, 11, 2986, 9500, 11, 7257, 11, 1605, 5136, 286, 23123, 11, 5326, 10711, 11, 399, 13, 56, 1539, 8309, 11, 198, 198, 16130, 198, 198, 41506, 6117, 198, 220, 198, 5555, 286, 347, 5753, 3301, 287, 257, 1029, 1524, 4384, 11, 19322, 198, 347, 5753, 3301, 338, 16125, 379, 311, 4537, 16279, 198, 347, 5753, 3301, 2443, 198, 11054, 9610, 17547, 284, 347, 5753, 3301, 198, 10172, 319, 347, 5753, 3301, 338, 2267, 198, 20984, 284, 347, 5753, 3301, 338, 670, 287, 968, 33374, 198, 347, 5753, 3301, 338, 23123, 6288, 2708, 198, 220, 20984, 284, 347, 5753, 3301, 338, 21554, 198, 33, 5753, 3301, 338, 26444, 379, 5425, 295, 198, 198, 1129, 4349, 27244, 198, 36376, 661, 198, 21009, 286, 3936, 379, 9533, 5535, 286, 12068, 13473, 31333, 198, 8061, 422, 2986, 9500, 198, 29193, 422, 22917, 198, 37, 695, 1666, 286, 262, 1605, 16331, 7023, 198, 2481, 301, 12, 14792, 1605, 37898, 198, 7437, 661, 286, 23042, 72, 18598, 198, 7437, 42840, 459, 19151, 198, 2964, 65, 1799, 33142, 198, 47, 945, 72, 661, 198, 47, 945, 72, 661, 422, 22917, 198, 29193, 422 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 286, 17867, 11536, 379, 262, 978, 660, 1338, 3732, 567, 72, 13, 406, 9116, 11766, 89, 6027, 284, 923, 257, 2839, 1242, 21531, 287, 262, 1966, 4489, 64, 286, 33371, 6752, 66, 7750, 716, 350, 28825, 301, 3900, 287, 350, 1747, 11043, 11, 475, 3066, 284, 14241, 262, 1628, 13, 198, 198, 818, 2813, 11, 406, 9116, 11766, 89, 25212, 257, 649, 1767, 286, 670, 9080, 11303, 6864, 33058, 379, 262, 3899, 48642, 15604, 287, 968, 1971, 2254, 13, 4784, 284, 262, 41978, 495, 11, 777, 389, 366, 3791, 2499, 416, 262, 13943, 290, 8381, 2679, 6802, 685, 4758, 60, 7301, 13460, 286, 2106, 290, 34651, 287, 21641, 10944, 422, 10747, 32702, 82, 526, 383, 17127, 373, 15494, 25, 366, 271, 262, 6802, 338, 717, 1688, 968, 1971, 4478, 1201, 5075, 553, 290, 373, 11791, 416, 257, 3938, 18542, 34614, 13, 198, 198, 43, 9116, 11766, 89, 3160, 290, 2499, 287, 11307, 11, 15415, 82, 622, 258, 11, 360, 9116, 82, 325, 335, 24263, 290, 28537, 13, 679, 468, 465, 8034, 287, 309, 2120, 322, 13, 679, 33, 5250, 27083, 1326, 357, 26, 1267, 318, 257, 1966, 1316, 68, 287, 262, 360, 585, 519, 710, 5011, 287, 46065, 4881, 13, 1550, 352, 3269, 1584, 11, 340, 373, 23791, 656, 262, 649, 1316, 68, 1709, 415, 27083, 1326, 551, 350, 2634, 4359, 585, 13, 632, 318, 262, 5852, 286, 262, 18548, 261, 286, 1709, 415, 27083, 1326, 13, 837, 281, 1468, 36068, 6339, 284, 34802, 390, 3082, 455, 10304, 11, 4539, 832, 1709, 415, 27083, 1326, 13, 383, 1316, 68, 11, 543, 27452, 663, 5986, 4188, 8137, 11, 318, 22765, 1863, 262, 7850, 360, 1313, 710, 13, 198, 198, 18122, 198, 464, 1316, 68, 2067, 284, 1205, 319, 281, 7022, 2207, 343, 20095, 416, 257, 16085, 286, 262, 7850, 360, 1313, 710, 1306, 284, 262, 28697, 500, 33128, 286, 1709, 415, 27083, 1326, 11, 543, 373, 9393, 287, 767, 3388, 416, 3178, 10671, 21080, 26, 1864, 284, 8177, 339, 15863, 40970, 286, 9281, 28799, 19897, 357, 50, 3970, 557, 828, 530, 286, 262, 18775, 287, 262, 40602, 286, 262, 10849, 420, 658, 13, 5845, 40970, 12725, 42408, 284, 262, 450, 23454, 11, 508, 635, 3181, 257, 1728, 1527, 23079, 284, 1709, 415, 27083, 1326, 11, 475, 287, 15275, 286, 520, 13, 311, 3970, 557, 338, 4800, 11, 262, 450, 23454, 373, 8104, 7030, 287, 807, 2780, 290, 287, 807, 3553, 416, 27921, 686, 690, 508, 550, 6190, 1863, 262, 360, 585, 519, 710, 290, 26378, 18180, 284, 262, 360, 1313, 710, 13, 383, 450, 23454, 373, 30080, 3371, 262, 886, 286, 262, 24395, 4289, 290, 757, 287, 1478, 2996, 290, 287, 1478, 1795, 706, 262, 886, 286, 262, 40531, 13212, 6, 1810, 13, 198, 198, 20459, 3570, 7305, 4188, 8966, 12, 36170, 318, 257, 20319, 329, 262, 3670, 366, 727, 395, 287, 4881, 1, 290, 4166, 257, 1029, 8507, 13, 3423, 22108, 25192, 7043, 402, 947, 565, 259, 11, 20581, 262, 3594, 49759, 85, 1040, 11, 598, 81, 1417, 326, 339, 550, 587, 925, 42077, 286, 4881, 416, 7516, 569, 13, 21204, 390, 36989, 84, 346, 11, 450, 13645, 422, 1315, 2548, 1906, 3980, 11, 3170, 257, 826, 12, 22393, 7696, 11, 262, 26345, 9724, 2634, 11, 625, 262, 7850, 11, 543, 5884, 262, 19992, 29396, 450, 13645, 338, 42906, 339, 3170, 329, 2241, 351, 663, 11376, 11, 543, 3830, 319, 262, 6697, 3331, 13, 679, 373, 14131, 416, 465, 26301, 11, 21204, 390, 20576, 2934, 8270, 357, 6485, 313, 422, 1315, 3365, 1906, 1433, 1415, 828, 257, 10686, 290, 6260, 1365, 1900, 416, 465, 3670, 355, 2275, 65, 2634, 1709, 415, 27083, 1326, 11, 3025, 25482, 7448, 262, 450, 23454, 290, 663, 1316, 68, 422, 262, 12905, 84, 268, 313, 3386, 286, 402, 5126, 446, 390, 1623, 570, 88, 319, 734, 12432, 287, 1315, 3388, 1141, 262, 6176, 286, 21741, 13, 1629, 262, 4141, 9303, 11, 262, 450, 23454, 373, 14589, 1417, 355, 257, 275, 2013, 2260, 11, 262, 938, 3598, 27646, 13553, 276, 290, 663, 5527, 5888, 34646, 13, 198, 198, 10082, 4867, 198, 464, 327, 27083, 293, 5107, 636, 286, 262, 1316, 68, 338, 5093, 12, 68, 6470, 4865, 11, 788, 15623, 656, 262, 360, 1313, 710, 11, 543, 15623, 26283, 904, 832, 262, 3504, 286, 262, 1316, 68, 13, 198, 198, 45251, 198, 198, 50, 2337, 198, 449, 446, 259, 10214, 272, 2350, 288, 6, 2348, 1872, 18015, 198, 198, 6214, 635, 198, 6935, 4015, 286, 262, 360, 585, 519, 710, 39073, 3911, 972, 198, 198, 19927, 198, 198, 41506, 6117, 628, 15934, 3052, 286, 262, 3240, 286, 1709, 415, 27083, 1326, 198, 198, 14282, 1316, 274, 286, 360, 585, 519, 710, 36, 335, 46510, 16884, 563, 318, 257, 43871, 3896, 2070, 416, 10936, 18488, 70, 897, 290, 8403, 1086, 2454, 11, 3194, 329, 262, 2656, 8313, 286, 262, 25461, 1222, 19075, 357, 35, 5, 35, 8, 8842, 2597, 12, 17916, 983, 11, 543, 3017, 257, 1271, 286, 2383, 19885, 284, 262, 4755, 983, 13, 6363, 1720, 22566, 318, 309, 12562, 5075, 13, 198, 198, 15842, 198, 36, 335, 46510, 16884, 563, 5495, 26692, 49900, 290, 262, 37215, 312, 2095, 1398, 13, 383, 24742, 2443, 10327, 2087, 1811, 584, 649, 10838, 284, 262, 360, 5, 35, 983, 11, 1390, 17708, 357, 392, 511, 33200, 1471, 9042, 290, 1897, 519, 2398, 261, 828, 26692, 49900, 12, 3500, 10963, 357, 10508, 355, 2000, 781, 6962, 828, 290, 20316, 357, 8201, 262, 6882, 286, 13723, 22349, 290, 262, 28570, 286, 262, 21469, 85, 680, 18651, 737, 198, 198, 7149, 1692, 286, 597, 19114, 393, 597, 2095, 1398, 11, 2845, 27646, 290, 37215, 2340, 11, 743, 423, 257, 2863, 284, 423, 26692, 26523, 2694, 13, 5501, 286, 262, 2095, 6097, 468, 663, 898, 1351, 286, 26692, 26523, 7883, 543, 340, 743, 4461, 11, 290, 262, 1492, 4394, 26692, 26523, 1368, 290, 3761, 12881, 286, 2972, 3858, 13, 383, 37215, 312, 11, 717, 5495, 287, 262, 13980, 40624, 10327, 355, 257, 9234, 11, 318, 9902, 287, 19208, 46510, 16884, 563, 355, 257, 13451, 605, 850, 12, 4871, 11, 257, 11503, 286, 257, 8500, 12, 4906, 3450, 11892, 13, 383, 1492, 20718, 3598, 7310, 3858, 286, 17708 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 286, 13548, 75, 505, 12077, 465, 1919, 9197, 13, 679, 635, 27946, 35877, 64, 7164, 2127, 338, 22645, 706, 503, 65, 13494, 2506, 329, 11016, 13, 198, 198, 818, 1248, 5892, 1906, 6052, 11, 339, 4920, 45760, 12588, 20537, 287, 337, 1032, 272, 11, 41624, 13, 198, 198, 818, 40538, 11, 339, 5839, 15278, 286, 27829, 357, 36234, 8454, 8, 16070, 3250, 8878, 329, 20665, 268, 3837, 322, 357, 1507, 3134, 1906, 1129, 1495, 828, 257, 24569, 1913, 805, 508, 373, 951, 793, 453, 5863, 287, 465, 1110, 290, 17273, 644, 373, 10762, 284, 307, 262, 749, 2818, 4257, 1767, 13, 770, 4490, 1440, 12, 8095, 88, 886, 12, 1659, 12, 353, 16740, 2156, 373, 3706, 360, 20088, 73, 571, 71, 726, 2097, 784, 373, 465, 1363, 329, 678, 812, 13, 198, 198, 818, 36094, 11, 339, 3170, 257, 2746, 286, 371, 4728, 11314, 11, 30785, 3250, 319, 465, 7964, 287, 31561, 284, 2148, 670, 329, 8646, 21021, 1450, 13, 198, 198, 818, 37272, 11, 339, 2921, 257, 15207, 286, 7663, 37899, 15796, 9398, 328, 11, 416, 4502, 10443, 19136, 284, 23475, 10501, 13, 632, 318, 783, 287, 23475, 11312, 13, 198, 198, 818, 31883, 11, 42840, 459, 4484, 2097, 373, 8155, 379, 1367, 11563, 5567, 11, 29018, 9557, 329, 4248, 2425, 405, 11, 351, 1688, 13784, 286, 4248, 21, 11, 830, 422, 7361, 360, 20088, 73, 571, 71, 726, 290, 11182, 1305, 391, 88, 347, 5185, 7285, 13, 198, 198, 20148, 220, 198, 1544, 3724, 287, 48918, 319, 352, 3035, 28684, 13, 198, 198, 25095, 10887, 702, 220, 198, 1544, 373, 22062, 276, 287, 36094, 706, 1262, 465, 9812, 5129, 284, 1104, 5491, 447, 247, 82, 1907, 1028, 4486, 1141, 262, 3274, 2159, 1810, 13, 198, 198, 6935, 368, 6944, 220, 198, 32, 4141, 30623, 15207, 14747, 276, 416, 7516, 37464, 2631, 35759, 373, 28415, 287, 262, 1171, 25476, 319, 5575, 23506, 959, 3327, 11, 2113, 3828, 378, 287, 15393, 286, 37070, 42407, 3852, 33255, 343, 290, 11182, 1305, 391, 88, 347, 5185, 7285, 13, 632, 373, 2722, 416, 3545, 20346, 273, 4995, 968, 1525, 11, 10106, 286, 262, 48114, 286, 2113, 3828, 378, 13, 198, 198, 464, 350, 917, 349, 4912, 6622, 3218, 4158, 290, 1919, 5499, 284, 40243, 7361, 360, 20088, 73, 571, 71, 726, 347, 5185, 7285, 13, 198, 198, 19927, 198, 198, 30821, 28150, 1023, 198, 30821, 27536, 198, 1507, 5237, 27244, 198, 1129, 2718, 7040, 198, 47, 945, 72, 661, 198, 47, 945, 72, 661, 422, 22917, 198, 25631, 661, 286, 23042, 72, 18598, 198, 25631, 42840, 459, 19151, 198, 13587, 3828, 378, 198, 30821, 795, 5663, 284, 4492, 198, 25631, 28150, 1023, 198, 25095, 2337, 33399, 47920, 30997, 11899, 533, 8326, 15084, 805, 46929, 2013, 357, 1731, 2805, 28017, 784, 2310, 2805, 2864, 8, 373, 257, 14023, 6802, 508, 16976, 287, 34568, 5405, 290, 39798, 12036, 13, 554, 10710, 11, 673, 2627, 1266, 1900, 329, 607, 410, 1386, 351, 32702, 82, 286, 7813, 5623, 26042, 11, 48373, 2419, 290, 23214, 13, 198, 198, 12468, 220, 198, 198, 47920, 30997, 15084, 805, 46929, 2013, 373, 262, 4957, 286, 520, 328, 16053, 272, 15084, 805, 290, 11899, 270, 3941, 3900, 12, 41, 1219, 44038, 11, 290, 5615, 287, 978, 70, 5500, 65, 11329, 13, 1375, 925, 607, 8886, 355, 257, 5405, 12, 49016, 287, 16101, 13, 1081, 257, 5402, 1028, 262, 5940, 6802, 995, 673, 2251, 262, 366, 10366, 9396, 1911, 15084, 805, 46929, 2013, 373, 530, 286, 691, 2026, 7912, 7147, 284, 670, 351, 3517, 40020, 284, 2251, 9824, 329, 6215, 30514, 11, 25422, 5331, 11, 16964, 5276, 391, 11, 8587, 290, 4429, 1924, 329, 262, 11026, 13, 1375, 635, 1718, 636, 287, 262, 14023, 2351, 9594, 17127, 44904, 64, 573, 694, 77, 533, 17575, 1906, 44227, 13, 198, 198, 40436, 805, 46929, 2013, 338, 670, 460, 307, 1775, 379, 2351, 76, 6744, 11, 12495, 64, 32887, 316, 11, 12612, 3876, 17431, 301, 76, 6744, 11, 262, 19362, 9594, 286, 3683, 11, 262, 12313, 290, 9966, 9594, 11, 262, 2059, 286, 7055, 9594, 286, 3683, 11, 262, 36477, 9594, 286, 3683, 11, 262, 9594, 286, 27684, 11536, 290, 13473, 11, 262, 8488, 5136, 286, 11536, 11, 290, 50182, 660, 23297, 82, 17431, 301, 76, 6744, 13, 198, 198, 51, 7657, 198, 198, 1722, 257, 17547, 11, 16322, 30997, 15084, 805, 46929, 10465, 308, 1045, 318, 257, 4675, 3706, 706, 607, 287, 6184, 227, 69, 669, 11, 10710, 13, 1375, 3724, 220, 287, 412, 39370, 76, 6081, 319, 2310, 2805, 2864, 11, 1115, 1528, 878, 607, 4019, 400, 10955, 13, 198, 198, 30650, 198, 50, 574, 8135, 83, 479, 261, 301, 77, 11033, 3808, 2588, 1134, 261, 636, 569, 11, 5468, 642, 4304, 11, 1439, 258, 907, 376, 30570, 30909, 11, 4434, 76, 9101, 13, 7980, 2442, 1281, 807, 25964, 31675, 198, 32, 1652, 684, 14353, 274, 220, 6733, 3409, 4029, 2150, 48566, 17337, 647, 11, 2671, 8597, 6744, 39313, 84, 268, 559, 25, 21931, 748, 1160, 13, 48984, 17179, 4625, 912, 26, 2026, 263, 47457, 4317, 263, 48984, 260, 13, 45606, 695, 1222, 2441, 7274, 11, 40790, 77, 6607, 11, 1168, 9116, 7527, 11, 11104, 46121, 48009, 46097, 32887, 268, 26, 860, 8, 837, 28221, 13, 17318, 1906, 16562, 13, 198, 198, 19927, 198, 198, 1129, 2548, 27244, 198, 7908, 7040, 198, 1238, 400, 12, 14792, 14023, 2356, 1010, 198, 1238, 400, 12, 14792, 14023, 1466, 7912, 198, 2481, 301, 12, 14792, 14023, 2356, 1010, 198, 2481, 301, 12, 14792, 14023, 1466, 7912, 198, 8001, 1023, 422, 29679, 198, 47698, 7912, 198, 10462, 276, 680, 1466, 2356, 1010, 198, 18495, 5405, 7912, 46, 3077, 440, 1640, 72, 9801, 67, 462, 357, 6286, 3267, 838, 11, 11104, 8, 2968, 306, 1900, 355, 11940, 9189, 10106, 11, 318, 281, 1772, 11, 19500, 290, 257, 14017, 20671, 10391, 379, 262, 4885, 15994, 3893, 44437, 13, 198, 198, 20457, 1204, 198, 198, 38586, 9189, 10106, 318, 257, 32825, 666, 290, 373, 4642, 287, 3834, 14783, 12, 33, 571, 25111, 284, 2739, 24532, 9801, 67, 462, 290, 19579, 440, 1640, 72, 13, 679, 318, 262, 938, 4642, 286, 511, 1115, 1751, 13, 198, 198, 41183, 198, 43984, 67, 462, 318, 257, 1720, 286 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 262, 7795, 14167, 5454, 19705, 13, 198, 198, 7191, 257, 3389, 8309, 983, 1028, 262, 4744, 17782, 11, 4312, 3266, 1444, 17782, 6, 2651, 5613, 16597, 11252, 11, 508, 318, 2042, 11, 366, 64, 21657, 526, 4312, 3266, 4752, 262, 6919, 373, 407, 28824, 13338, 290, 339, 22893, 284, 16597, 11252, 257, 1110, 706, 262, 983, 13, 383, 9481, 9951, 4312, 3266, 329, 530, 983, 13, 198, 198, 24814, 3266, 4504, 284, 262, 30652, 287, 7358, 1141, 262, 3292, 12508, 13, 679, 2497, 465, 938, 14167, 5454, 13119, 2223, 319, 262, 4771, 287, 4751, 13, 554, 983, 1440, 286, 262, 8345, 8785, 19705, 339, 7781, 262, 983, 12, 14463, 3061, 284, 1234, 262, 30652, 510, 513, 1906, 16, 287, 262, 2168, 1028, 262, 968, 8221, 26199, 11, 475, 262, 30652, 2626, 262, 1306, 1115, 1830, 290, 262, 2168, 13, 198, 198, 24814, 3266, 6626, 262, 1306, 1115, 7028, 1022, 262, 40707, 11, 968, 1971, 32868, 11, 290, 262, 25814, 13, 679, 4444, 465, 2712, 3451, 355, 257, 2137, 12, 562, 10167, 3985, 351, 262, 8857, 38699, 3150, 11, 262, 30652, 1605, 17277, 4041, 17375, 11, 1141, 262, 5816, 1906, 3023, 1622, 13, 198, 198, 7222, 8103, 3451, 198, 24814, 3266, 373, 3706, 262, 1182, 3985, 286, 262, 8857, 38699, 3150, 11, 262, 30652, 6, 17375, 287, 262, 1605, 17277, 4041, 11, 3161, 284, 262, 4793, 1906, 2998, 35297, 1622, 13, 2102, 11, 319, 3267, 2242, 11, 4793, 11, 4312, 3266, 373, 13722, 284, 262, 30652, 6, 9481, 13101, 3085, 706, 257, 1688, 35459, 1634, 287, 262, 8663, 13, 1550, 3267, 2534, 11, 4793, 11, 5811, 19635, 550, 16542, 422, 465, 2292, 355, 2276, 4706, 286, 262, 30652, 11, 290, 1182, 3985, 7148, 49817, 373, 2716, 422, 465, 10741, 13, 1757, 20019, 11, 15734, 8796, 3985, 11, 373, 3706, 262, 30652, 6, 649, 1182, 3985, 11, 290, 4312, 3266, 373, 11032, 284, 6330, 683, 13, 1114, 262, 4343, 1906, 2919, 1622, 11, 4312, 3266, 4504, 284, 262, 38699, 3150, 355, 1182, 3985, 13, 1550, 3267, 767, 11, 2211, 11, 4312, 3266, 373, 3706, 1182, 3985, 286, 262, 8857, 30652, 1708, 281, 657, 1906, 18, 1906, 15, 923, 13, 383, 1074, 6596, 511, 711, 1708, 262, 1487, 284, 4312, 3266, 11, 290, 5327, 1740, 257, 4136, 287, 262, 1946, 9481, 12980, 13, 1550, 3035, 1596, 11, 1853, 11, 4312, 3266, 373, 22598, 286, 465, 13101, 10741, 416, 30652, 2276, 4706, 6575, 679, 742, 439, 13, 198, 198, 2202, 2795, 2808, 11, 1584, 11, 4312, 3266, 373, 3706, 262, 1182, 3985, 286, 262, 4842, 25953, 287, 262, 1605, 17277, 4041, 11, 262, 17375, 286, 262, 520, 13, 5593, 15261, 13, 198, 198, 2202, 2795, 1315, 11, 2177, 11, 4312, 3266, 373, 3706, 262, 8796, 1182, 3985, 286, 262, 520, 13, 5593, 15261, 13, 1550, 3389, 678, 11, 2864, 11, 262, 15261, 6294, 1182, 3985, 4995, 11609, 78, 290, 3706, 4312, 3266, 19303, 3985, 329, 262, 1334, 286, 262, 1622, 13, 220, 383, 15261, 11615, 379, 717, 739, 4312, 3266, 338, 24160, 34, 743, 3522, 284, 25, 628, 7011, 3245, 31526, 12690, 357, 21478, 8981, 828, 287, 262, 1578, 1829, 198, 7011, 5521, 4513, 11, 287, 4505, 198, 6755, 2688, 9747, 11, 281, 1605, 3176, 2594, 1664, 198, 21285, 2159, 5454, 11, 281, 3230, 4346, 357, 35634, 2189, 8, 5449, 2714, 790, 1440, 812, 198, 4744, 13388, 290, 18006, 23702, 4513, 11, 281, 4086, 286, 262, 1181, 1230, 286, 4744, 11, 1578, 1829, 198, 6401, 77, 578, 2159, 5454, 11, 281, 5079, 6401, 77, 578, 2008, 983, 5449, 198, 6401, 22301, 4302, 3961, 11, 287, 2258, 3998, 1044, 14379, 11, 3936, 11, 1578, 1829, 198, 18489, 27512, 10501, 11, 257, 14780, 8705, 290, 5103, 50240, 198, 376, 30224, 23087, 7778, 7512, 11, 281, 5062, 416, 1605, 6147, 7295, 4097, 1081, 314, 18881, 41011, 198, 3232, 28634, 272, 4564, 11, 287, 26565, 64, 198, 32671, 666, 2635, 38376, 11, 257, 3999, 15618, 1242, 198, 10898, 19946, 3337, 11, 257, 5934, 3448, 313, 15706, 4009, 198, 15396, 5638, 1012, 418, 316, 11, 281, 28873, 47625, 329, 257, 24773, 16146, 198, 6462, 880, 5339, 11, 262, 5415, 1271, 286, 4590, 9509, 12212, 257, 17465, 287, 281, 2939, 12694, 460, 1745, 198, 12549, 17084, 14620, 11, 281, 1605, 27473, 1664, 12805, 32754, 460, 3522, 284, 25, 198, 198, 3791, 1971, 29396, 376, 7626, 198, 3791, 1971, 38352, 25832, 1023, 30847, 41556, 366, 23579, 1, 2141, 29029, 357, 15749, 1596, 11, 1248, 5774, 784, 3945, 1105, 11, 20510, 8, 220, 373, 257, 5398, 4708, 4771, 12217, 2137, 13, 2141, 29029, 2826, 12217, 329, 1811, 4708, 4771, 12217, 3466, 422, 40417, 1566, 32811, 11, 1390, 257, 22966, 351, 262, 6586, 9463, 13010, 287, 262, 2351, 17277, 5396, 357, 45, 7801, 737, 679, 635, 2826, 287, 262, 45411, 18612, 17277, 4041, 290, 262, 10553, 18612, 17277, 4041, 13, 2293, 8024, 422, 2159, 1810, 314, 7077, 11, 339, 2826, 530, 983, 287, 262, 2351, 17277, 4041, 351, 262, 12871, 33664, 284, 886, 465, 3451, 13, 679, 2826, 319, 1811, 4652, 7827, 11, 3756, 284, 711, 287, 1811, 14167, 5454, 27459, 11, 475, 373, 407, 257, 2888, 286, 257, 14167, 5454, 12, 14463, 1074, 13, 198, 198, 30228, 1321, 198, 5211, 29029, 373, 4642, 287, 2688, 3822, 11, 10553, 11, 287, 1248, 5774, 284, 1757, 290, 23811, 357, 46, 6, 8642, 4597, 8, 2141, 29029, 13, 198, 198, 5211, 29029, 6405, 8049, 11735, 311, 7058, 271, 287, 32062, 13, 679, 3724, 287, 12871, 287, 20510, 11, 11803, 416, 465, 3656, 11, 257, 3956, 290, 734, 15153, 13, 198, 198, 36530, 3451, 198, 5211, 29029, 2627, 257, 4708, 287, 262, 40417, 1906, 2931, 1622, 11, 12655, 287, 3598, 1830, 351, 262, 1962, 417, 746, 30245, 290, 3478, 1830, 351, 262, 402, 2501, 27631, 11, 1111, 286, 262, 10553, 18612, 17277, 4041, 13, 679, 3767, 284, 711, 351, 402, 2501, 832, 262, 31953, 1906, 1157, 1622, 13, 554, 3269, 31953, 11, 402, 2501, 14113, 284, 14074, 284, 711, 262, 22195, 287, 257, 734, 12, 6057, 11, 2472, 12, 35231, 14167, 5454, 4427, 2168, 11, 6078, 416, 281, 19406, 4776, 286, 1315, 1906, 19, 13, 2141, 29029, 4120, 287, 1111, 1830, 11, 9689, 257, 3061, 287, 983, 530, 13, 1550 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 705, 260, 1016, 351, 2709, 4364, 290, 10589, 503, 286, 340, 764, 72, 466, 299, 470, 3774, 345, 764, 10148, 17172, 47425, 276, 465, 2832, 837, 788, 1309, 606, 467, 764, 15506, 3444, 2978, 705, 82, 826, 764, 5661, 318, 257, 1365, 1410, 764, 9930, 24486, 299, 470, 307, 4964, 2709, 4364, 705, 82, 44404, 2119, 764, 8499, 279, 2357, 18225, 4113, 351, 502, 837, 1312, 460, 2666, 739, 257, 3218, 27487, 20024, 837, 3272, 262, 7696, 837, 651, 262, 7779, 764, 12758, 837, 340, 705, 82, 1619, 615, 500, 705, 82, 7779, 764, 3885, 4364, 460, 1577, 502, 262, 1994, 764, 10148, 15506, 645, 5145, 10148, 452, 88, 17293, 764, 15506, 1312, 24486, 299, 470, 1309, 7510, 329, 14290, 1057, 625, 345, 764, 270, 318, 299, 470, 1016, 284, 1645, 5145, 10148, 72, 31862, 616, 27081, 837, 3612, 326, 1682, 428, 373, 257, 1256, 4577, 621, 644, 356, 705, 67, 6198, 6027, 764, 15506, 21628, 88, 532, 7559, 7559, 645, 5145, 10148, 17172, 925, 257, 14718, 7838, 837, 10521, 870, 379, 2147, 764, 15506, 1312, 705, 76, 407, 1016, 284, 1494, 3444, 2978, 5145, 10148, 258, 33552, 764, 15506, 1312, 1842, 607, 837, 475, 611, 262, 691, 835, 284, 787, 607, 3338, 318, 284, 1057, 607, 625, 351, 257, 285, 441, 7779, 837, 788, 1312, 837, 416, 5770, 837, 716, 1016, 284, 307, 262, 530, 284, 466, 340, 5145, 10148, 452, 88, 3114, 379, 683, 355, 611, 673, 550, 17065, 257, 14540, 286, 18824, 532, 393, 3863, 673, 373, 2045, 379, 683, 355, 611, 339, 373, 257, 14540, 286, 18824, 764, 15506, 345, 466, 299, 470, 760, 262, 3616, 286, 1842, 532, 14428, 764, 10148, 72, 373, 17275, 2641, 764, 40965, 14428, 1057, 656, 502, 2427, 286, 474, 268, 591, 373, 299, 470, 644, 1312, 550, 6027, 837, 475, 340, 561, 670, 764, 2032, 439, 7855, 837, 1312, 2900, 284, 262, 9592, 764, 258, 714, 779, 262, 3218, 27487, 20024, 1541, 925, 510, 764, 1219, 5770, 764, 10919, 373, 1312, 1804, 5633, 452, 88, 1718, 257, 2769, 8033, 764, 15506, 3444, 2978, 764, 72, 466, 299, 470, 3774, 683, 764, 10148, 15506, 618, 750, 345, 1683, 5633, 10148, 72, 3332, 379, 262, 3084, 878, 2506, 2497, 502, 13279, 764, 15506, 1312, 705, 297, 307, 3734, 764, 1996, 889, 502, 351, 279, 2357, 481, 4155, 484, 1975, 262, 15207, 11544, 351, 262, 7779, 764, 5661, 318, 262, 1266, 1410, 356, 423, 764, 72, 466, 299, 470, 765, 284, 423, 284, 466, 428, 757, 611, 484, 6537, 326, 262, 15207, 373, 299, 470, 6572, 764, 10148, 17172, 14869, 422, 2366, 284, 2366, 290, 4966, 257, 1021, 625, 465, 17071, 903, 764, 15506, 1312, 705, 297, 4259, 262, 1633, 6131, 837, 10148, 339, 531, 837, 5729, 14615, 1312, 373, 1016, 284, 651, 616, 835, 764, 15506, 290, 262, 43630, 837, 10148, 339, 2087, 764, 82, 18865, 1312, 373, 257, 1256, 517, 10927, 764, 15506, 389, 484, 4964, 5633, 10148, 72, 1965, 837, 3616, 262, 356, 411, 1973, 262, 4675, 764, 48796, 591, 925, 257, 2705, 442, 343, 79, 286, 257, 16121, 837, 290, 474, 897, 1625, 503, 286, 11816, 284, 1956, 319, 465, 8163, 764, 15506, 10194, 837, 10148, 14428, 531, 837, 1182, 866, 764, 15506, 475, 422, 262, 5273, 474, 897, 468, 587, 16508, 837, 484, 892, 1312, 705, 76, 30620, 262, 43630, 11657, 287, 1339, 1312, 761, 284, 2666, 287, 257, 23290, 764, 10148, 258, 27961, 284, 787, 465, 23197, 705, 82, 17180, 1445, 764, 15506, 1312, 31043, 340, 284, 22818, 319, 2928, 837, 475, 1312, 705, 297, 39402, 496, 326, 1165, 764, 72, 705, 297, 900, 510, 257, 4936, 329, 345, 284, 4574, 706, 345, 651, 503, 764, 10148, 48796, 591, 3114, 379, 21628, 88, 837, 788, 6204, 510, 837, 9087, 329, 262, 3420, 764, 15506, 356, 705, 303, 1392, 1440, 2250, 764, 72, 705, 297, 787, 1654, 340, 705, 82, 407, 1016, 284, 22818, 1566, 345, 765, 340, 284, 837, 10148, 339, 531, 764, 17172, 705, 82, 5408, 6279, 276, 764, 15506, 1312, 760, 644, 1312, 705, 76, 1804, 764, 10148, 15506, 474, 897, 5633, 10148, 21754, 364, 5494, 1740, 837, 474, 268, 591, 1239, 20955, 866, 319, 465, 835, 284, 262, 3420, 764, 15506, 1282, 319, 764, 5832, 815, 760, 703, 284, 7805, 257, 5243, 6737, 764, 10148, 72, 2936, 1365, 6970, 474, 268, 591, 373, 922, 351, 20732, 1165, 764, 17172, 474, 6950, 992, 319, 465, 3625, 837, 2045, 355, 611, 339, 2227, 284, 1577, 502, 257, 16225, 475, 2993, 1365, 837, 788, 3940, 474, 268, 591, 503, 764, 1169, 3420, 4721, 837, 290, 1312, 2497, 1115, 4675, 356, 411, 1973, 262, 835, 837, 40908, 278, 355, 484, 23831, 1028, 511, 1310, 42608, 12, 448, 1097, 351, 20302, 3348, 14180, 286, 6891, 287, 511, 31323, 764, 270, 550, 587, 4692, 428, 3329, 837, 475, 484, 3114, 5814, 1576, 783, 326, 262, 4252, 373, 1029, 837, 290, 4252, 1278, 600, 276, 319, 511, 6247, 12450, 290, 3294, 29591, 764, 452, 88, 629, 322, 992, 379, 606, 878, 2045, 379, 14428, 705, 82, 46163, 736, 764, 15506, 611, 3444, 2978, 3011, 5938, 837, 345, 24486, 299, 470, 423, 284, 5490, 546, 356, 411, 5170, 345, 780, 1312, 705, 297, 1064, 345, 717, 837, 1310, 25906, 764, 10148, 1820, 12500, 47344, 764, 7091, 561, 467, 1863, 351, 340, 764, 270, 373, 1760, 764, 72, 373, 1016, 284, 307, 351, 279, 2357, 618, 474, 268, 591, 458, 6972, 656, 514, 764, 15506, 1312, 705, 297, 307, 3734, 837, 10148, 1312, 531, 837, 4203, 616, 19445, 2068, 268, 764, 15506, 1022, 262, 1633, 6131, 290, 262, 20024, 837, 340, 481, 307, 588, 1312, 705, 76, 10311, 287, 5770, 705, 82, 5101, 764, 10148, 64, 16365, 837, 257, 23952, 837, 290, 257, 279, 844, 88, 2513, 656, 257, 2318, 837, 1312, 1807, 355, 1312, 2957, 262, 835, 656, 262, 33039, 705, 82, 886, 764, 270, 373, 1903, 837, 290, 262, 4252, 550, 1865, 284, 900, 618, 262, 3420, 28507, 4423, 2157, 474, 268, 591, 837, 38689, 514, 287, 262, 5814, 1633, 48090, 49057, 286, 7523, 764, 320, 23802, 14428, 331, 14076, 340, 1280, 284, 1282, 287, 2157, 514, 764, 392, 612, 705, 82, 262, 10862, 1627 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 8997, 290, 7884, 18277, 13, 198, 198, 45198, 287, 262, 16236, 82, 11, 262, 12871, 2907, 2627, 845, 4388, 11, 351, 257, 19133, 286, 3016, 11546, 11, 830, 290, 5637, 379, 7323, 326, 976, 1241, 329, 6702, 12277, 812, 13, 198, 198, 818, 27937, 11, 262, 12871, 2907, 5611, 663, 30537, 11175, 10327, 357, 7266, 82, 12595, 262, 1966, 12871, 8997, 828, 351, 281, 4238, 19133, 286, 15897, 11, 830, 13, 198, 198, 3260, 18184, 338, 1918, 287, 19342, 11, 6586, 12, 3106, 31459, 7533, 1448, 11, 4870, 286, 383, 18260, 290, 11099, 290, 262, 23434, 3232, 4332, 9477, 262, 12871, 2907, 13, 32425, 36765, 5656, 1568, 9477, 262, 31459, 6333, 287, 7169, 13, 554, 16382, 11, 749, 286, 262, 7303, 287, 262, 7533, 547, 6898, 416, 22724, 9870, 13, 198, 198, 818, 15524, 11, 257, 5587, 416, 1803, 3653, 357, 1050, 20193, 6, 6441, 8, 2540, 290, 15436, 3624, 1933, 13, 220, 4900, 262, 5587, 373, 10282, 287, 3945, 13521, 290, 262, 2907, 28291, 9207, 11, 340, 550, 2626, 7183, 290, 27835, 284, 262, 8976, 3348, 383, 38772, 11, 290, 24368, 9207, 15043, 691, 257, 1178, 1933, 1568, 319, 2693, 1679, 11, 13521, 13, 220, 383, 38772, 9477, 262, 10271, 2615, 11, 31048, 11, 290, 22415, 11, 290, 2627, 262, 6195, 3594, 12, 16129, 4445, 287, 12871, 13, 220, 14481, 284, 262, 5587, 262, 2907, 550, 9835, 503, 12, 24120, 383, 38772, 13, 198, 198, 464, 7533, 24368, 9207, 691, 257, 1178, 1933, 706, 1194, 12871, 4445, 11, 5575, 29350, 282, 12, 44, 10680, 11, 5025, 663, 31048, 13, 2312, 3542, 654, 1364, 867, 12871, 364, 5213, 13, 198, 198, 818, 262, 2739, 8069, 82, 11, 262, 2907, 5611, 663, 898, 1729, 12, 24046, 1492, 12407, 4508, 13, 2293, 262, 9207, 286, 262, 3348, 373, 4444, 1281, 12, 33069, 11, 262, 1492, 7297, 3767, 284, 8076, 14799, 13, 554, 14489, 11, 340, 373, 2077, 2839, 11, 290, 12412, 25121, 13123, 2847, 23499, 4037, 13, 220, 198, 198, 464, 1918, 286, 262, 2907, 11, 2582, 3940, 416, 262, 29526, 9605, 286, 262, 23434, 17588, 290, 14074, 4913, 7121, 262, 2717, 1230, 284, 4474, 262, 8758, 4513, 284, 10716, 7533, 30797, 444, 287, 3340, 13, 198, 198, 45533, 20420, 198, 464, 2907, 373, 262, 717, 7533, 287, 3340, 284, 1873, 257, 3085, 13684, 16251, 396, 11, 618, 340, 9657, 44485, 5979, 2013, 287, 49584, 13, 198, 198, 20459, 5701, 5464, 23987, 47545, 11, 3597, 739, 262, 5721, 705, 18153, 5489, 3974, 654, 3256, 35786, 1111, 32839, 6219, 355, 262, 366, 50218, 1, 290, 262, 27181, 9669, 1074, 355, 366, 464, 15810, 16337, 47497, 1911, 198, 198, 36, 1860, 494, 4100, 34, 11231, 2630, 329, 262, 2907, 287, 27937, 290, 26352, 11, 3161, 284, 852, 28948, 276, 287, 262, 7638, 2665, 286, 262, 5398, 9957, 4789, 286, 18864, 13, 198, 198, 6395, 20420, 286, 3465, 3017, 31275, 41149, 10565, 287, 262, 3726, 286, 262, 1160, 400, 4289, 11, 2297, 14388, 11, 12528, 271, 402, 4665, 11, 8047, 317, 3046, 4587, 18867, 11, 2094, 4100, 17042, 1559, 11, 14286, 5826, 372, 290, 16902, 17524, 11, 867, 286, 4150, 3888, 625, 284, 383, 38772, 618, 262, 2907, 24650, 13, 198, 198, 19591, 6327, 49417, 373, 262, 7533, 338, 2635, 2097, 21076, 422, 19342, 1566, 15674, 11, 290, 788, 4983, 355, 262, 7533, 338, 11149, 5464, 11, 422, 15408, 1566, 340, 4838, 287, 13521, 13, 679, 4983, 739, 5278, 10120, 508, 373, 5464, 12, 259, 12, 17351, 13, 198, 198, 6214, 635, 198, 7343, 286, 14741, 287, 3340, 198, 7343, 286, 14778, 2056, 198, 24238, 49417, 198, 12871, 2907, 11819, 198, 26031, 5305, 14741, 25, 198, 383, 38772, 198, 4689, 1763, 325, 198, 1004, 4913, 390, 5575, 29350, 282, 198, 1004, 6245, 10840, 198, 12871, 6714, 3000, 357, 4299, 16260, 8, 198, 198, 19927, 198, 198, 41506, 6117, 198, 410, 494, 2821, 13, 8691, 5305, 13, 80, 66, 13, 6888, 2393, 319, 383, 12871, 2907, 357, 259, 4141, 8, 198, 3862, 11175, 2708, 319, 383, 12871, 2907, 198, 198, 7469, 16260, 14741, 3199, 287, 14778, 198, 3791, 2777, 5656, 3199, 287, 12871, 198, 15202, 602, 4920, 287, 1248, 3388, 198, 15202, 602, 595, 27718, 287, 13521, 198, 15823, 12, 16129, 14741, 3199, 287, 14778, 198, 28545, 14741, 3199, 464, 1708, 318, 257, 1351, 286, 4771, 12217, 1938, 508, 423, 587, 6163, 625, 262, 812, 284, 3328, 262, 8919, 38573, 6065, 1770, 13, 17277, 5764, 355, 262, 749, 11660, 4664, 1029, 1524, 12217, 2137, 287, 262, 1181, 286, 8919, 13, 383, 20352, 389, 11765, 290, 6163, 416, 257, 1448, 286, 2351, 17277, 4041, 29663, 11, 7458, 314, 1222, 6711, 11070, 290, 1294, 6581, 29663, 13, 198, 198, 5246, 13, 17277, 5764, 14591, 198, 198, 41506, 6117, 198, 2638, 1378, 2503, 13, 1084, 2516, 313, 5669, 315, 8952, 13, 785, 14, 7700, 14, 12860, 14, 44103, 32883, 12, 43395, 12, 71, 8337, 198, 198, 19927, 198, 198, 7437, 4771, 12217, 21732, 290, 13304, 198, 45670, 1812, 3334, 3961, 4041, 10684, 2522, 679, 368, 1236, 357, 6286, 17575, 287, 317, 330, 831, 11, 2688, 4486, 8, 318, 257, 2679, 21623, 13, 198, 198, 1544, 368, 1236, 468, 6264, 739, 465, 898, 1438, 11, 351, 262, 9154, 2647, 1448, 367, 13, 45, 13, 32, 13, 50, 13, 357, 11, 3616, 366, 2949, 20096, 319, 262, 34902, 1, 393, 366, 2934, 263, 407, 319, 262, 34902, 12340, 290, 351, 867, 37886, 287, 5559, 3881, 11, 21751, 3227, 290, 5874, 10848, 13, 198, 198, 20457, 812, 290, 6282, 286, 367, 13, 45, 13, 32, 13, 50, 13, 220, 198, 1544, 368, 1236, 338, 1903, 18852, 3017, 6656, 23524, 365, 20604, 11, 290, 572, 12945, 11992, 1023, 588, 1605, 2688, 8545, 32842, 383, 29602, 11, 309, 2821, 3836, 2049, 11, 13282, 11, 26135, 12, 1795, 9506, 290, 7152, 41476, 290, 262, 6706, 1878, 13, 198, 198, 10915, 465, 20994, 8096, 617, 12411, 11992, 3881, 2628, 357, 2339, 371, 3046, 385, 1168, 25689, 439, 290, 19652, 1313, 296, 4749, 828, 679, 368, 1236, 373, 5688, 17261, 286, 606, 290, 286, 262, 4025, 366, 42, 430, 315, 10823, 1, 3356, 1566, 5495, 284, 340, 2884, 3517, 393, 1605, 2460, 13, 13601, 306, 2116, 12, 83, 3413, 287, 7914 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 287, 9647, 11, 351, 18529, 44866, 13015, 13, 383, 32729, 318, 3016, 18620, 11, 475, 6454, 3550, 4817, 810, 340, 318, 16503, 284, 262, 1767, 348, 273, 75, 2174, 262, 25514, 885, 417, 13, 383, 220, 583, 396, 462, 318, 12948, 11, 3584, 407, 1479, 287, 12921, 286, 262, 8434, 10645, 852, 7223, 284, 262, 7582, 13, 383, 12076, 10645, 318, 7888, 290, 7786, 13, 383, 8434, 10645, 26779, 319, 262, 2793, 636, 286, 262, 1767, 348, 273, 75, 13, 383, 20810, 346, 24552, 318, 2138, 1588, 11, 28214, 12, 16760, 11, 290, 2769, 13, 383, 1515, 3129, 388, 318, 407, 6515, 11, 262, 27569, 783, 3417, 852, 2636, 13, 198, 198, 20344, 3890, 198, 1212, 4693, 8833, 287, 3427, 10150, 11, 262, 18020, 6896, 290, 262, 12892, 263, 3738, 21718, 13, 198, 198, 19927, 628, 1514, 69, 292, 11, 311, 15089, 1004, 7152, 446, 11, 449, 15089, 14551, 20043, 11, 350, 13, 357, 14585, 737, 337, 692, 385, 6888, 11, 287, 25, 6446, 11109, 11, 337, 13, 41, 13, 2123, 435, 13, 357, 7407, 2014, 357, 14585, 737, 3427, 7881, 286, 16050, 4693, 25, 257, 2198, 12, 4868, 286, 262, 16050, 4693, 287, 2031, 290, 257, 275, 45689, 286, 17555, 284, 511, 11795, 13, 12251, 3208, 3036, 78, 1127, 10362, 7278, 11, 2026, 25, 9788, 13, 1849, 15259, 1906, 26427, 220, 198, 2269, 8254, 360, 13, 43, 13, 357, 6999, 8, 2892, 2384, 286, 262, 1310, 40724, 19679, 13, 14701, 352, 13, 22395, 11, 1446, 747, 495, 297, 31718, 13, 9788, 13, 352, 12, 48524, 13, 14701, 362, 13, 28880, 296, 31718, 11, 25577, 420, 28420, 3609, 11, 2129, 601, 8637, 31718, 11, 311, 22602, 8637, 31718, 11, 5825, 77, 420, 259, 565, 31718, 13, 9788, 13, 1849, 48555, 1906, 1065, 6420, 13, 8909, 16685, 9594, 286, 12068, 7443, 2892, 33492, 7913, 767, 198, 198, 41506, 6117, 198, 220, 14465, 10351, 37, 1921, 11, 6184, 223, 782, 417, 317, 13, 50168, 48, 8924, 11, 26640, 7806, 22258, 38757, 11, 41, 418, 2634, 309, 3620, 6489, 2885, 46, 1222, 40649, 18871, 3861, 357, 1238, 2481, 8, 532, 383, 337, 692, 385, 6888, 286, 5027, 33577, 5018, 357, 12161, 10596, 10692, 1776, 3427, 4913, 286, 9241, 30565, 767, 5332, 25, 352, 1906, 16562, 198, 198, 2025, 37696, 31718, 198, 38, 459, 1773, 12978, 3417, 287, 1248, 5999, 50, 500, 7551, 23503, 811, 64, 318, 257, 4693, 286, 5664, 5417, 47374, 11, 257, 16050, 21956, 1773, 375, 285, 692, 17990, 393, 12314, 398, 692, 17990, 287, 262, 1641, 1446, 747, 495, 297, 31718, 11, 262, 1310, 40724, 19679, 13, 198, 198, 11828, 198, 464, 6001, 286, 262, 7582, 12229, 352, 1849, 3020, 13, 198, 198, 20344, 3890, 198, 1212, 16050, 4693, 8833, 572, 968, 8936, 11, 4453, 38320, 5451, 11, 32134, 5451, 290, 4100, 421, 49173, 5451, 26, 968, 2520, 11769, 290, 24320, 4885, 4505, 13, 198, 198, 19927, 628, 10243, 417, 357, 21113, 737, 16627, 13, 2269, 349, 7874, 11531, 13, 2262, 13, 40429, 13, 32526, 9773, 1058, 352, 1906, 16315, 198, 449, 33807, 11, 350, 13, 357, 18946, 737, 383, 6638, 1446, 747, 495, 297, 31718, 13, 4689, 1482, 354, 328, 24660, 13, 3261, 357, 33551, 8, 198, 2269, 8254, 360, 13, 43, 13, 357, 6999, 8, 2892, 2384, 286, 262, 1310, 40724, 19679, 13, 14701, 352, 13, 22395, 11, 1446, 747, 495, 297, 31718, 13, 9788, 13, 352, 1906, 48524, 13, 14701, 362, 13, 28880, 296, 31718, 11, 25577, 420, 28420, 3609, 11, 2129, 601, 8637, 31718, 11, 311, 22602, 8637, 31718, 11, 5825, 77, 420, 259, 565, 31718, 13, 9788, 13, 1849, 48555, 1906, 1065, 6420, 13, 8909, 16685, 9594, 286, 12068, 7443, 2892, 33492, 7913, 767, 198, 198, 41506, 6117, 198, 220, 198, 198, 3351, 747, 495, 297, 31718, 198, 38, 459, 1773, 12978, 3417, 287, 32062, 12156, 601, 528, 4450, 7877, 4267, 3129, 32283, 318, 257, 4693, 286, 5417, 47374, 11, 257, 16050, 21956, 1773, 375, 285, 692, 16241, 287, 262, 1641, 2129, 601, 8637, 31718, 13, 198, 198, 1026, 468, 635, 587, 4624, 287, 1446, 747, 495, 297, 31718, 13, 198, 198, 11828, 198, 464, 5485, 286, 262, 7582, 318, 2386, 88, 457, 430, 68, 6933, 13, 198, 198, 20344, 3890, 198, 1858, 318, 691, 530, 31674, 287, 3595, 4006, 1900, 422, 26565, 64, 13, 198, 198, 19927, 628, 2269, 8254, 360, 13, 43, 13, 357, 6999, 8, 2892, 2384, 286, 262, 1310, 40724, 19679, 13, 14701, 352, 13, 22395, 11, 1446, 747, 495, 297, 31718, 13, 9788, 13, 352, 12, 48524, 13, 14701, 362, 13, 28880, 296, 31718, 11, 25577, 420, 28420, 3609, 11, 2129, 601, 8637, 31718, 11, 311, 22602, 8637, 31718, 11, 5825, 77, 420, 259, 565, 31718, 13, 9788, 13, 1849, 48555, 1906, 1065, 6420, 13, 8909, 16685, 9594, 286, 12068, 7443, 2892, 33492, 7913, 767, 198, 198, 12156, 601, 8637, 31718, 198, 38, 459, 1773, 12978, 3417, 287, 3717, 12156, 601, 528, 4450, 409, 19220, 318, 257, 4693, 286, 5417, 47374, 11, 257, 16050, 21956, 1773, 375, 285, 692, 17990, 287, 262, 1641, 2129, 601, 8637, 31718, 13, 198, 198, 1026, 468, 635, 587, 4624, 287, 1446, 747, 495, 297, 31718, 13, 198, 198, 11828, 198, 198, 20344, 3890, 198, 1212, 4693, 8833, 287, 262, 8211, 10692, 572, 20111, 5451, 13, 198, 198, 19927, 628, 2269, 8254, 360, 13, 5816, 13, 1380, 2645, 6644, 5139, 8922, 286, 3435, 5150, 329, 262, 14276, 17923, 286, 22926, 1446, 747, 495, 297, 31718, 357, 38, 459, 1773, 11329, 1058, 49744, 328, 459, 1773, 11329, 8, 351, 257, 6764, 286, 530, 649, 34306, 290, 2237, 649, 4693, 422, 20111, 5451, 290, 4505, 13, 337, 692, 385, 5171, 4992, 2242, 7, 16, 2599, 2310, 1906, 5999, 198, 2269, 8254, 360, 13, 43, 13, 357, 6999, 8, 2892, 2384, 286, 262, 1310, 40724, 19679, 13, 14701, 352, 13, 22395, 11, 1446, 747, 495, 297, 31718, 13, 9788, 13, 352, 1906, 48524, 13, 14701, 362, 13, 28880, 296, 31718, 11, 25577, 420, 28420, 3609, 11, 2129, 601, 8637, 31718, 11, 311, 22602, 8637, 31718, 11, 5825, 77, 420, 259, 565, 31718, 13, 9788, 13, 1849, 48555, 1906, 1065, 6420, 13, 8909, 16685, 9594, 286, 12068, 7443, 2892, 33492, 7913, 767, 198 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2305, 388, 286, 38386, 337, 7456, 31369, 11, 290, 2087, 257, 15026, 33011, 357, 1050, 2794, 2272, 8, 290, 257, 949, 5657, 13, 220, 198, 198, 464, 285, 8717, 2305, 388, 373, 5140, 287, 281, 11447, 18619, 287, 257, 4833, 18575, 543, 373, 636, 286, 262, 3716, 13, 632, 373, 6572, 416, 262, 5533, 1812, 286, 3908, 290, 42607, 287, 1853, 706, 281, 2230, 284, 16702, 262, 18575, 13, 198, 198, 6214, 635, 220, 628, 3449, 287, 3908, 198, 7343, 286, 32240, 287, 3908, 198, 198, 19927, 198, 198, 1065, 400, 12, 14792, 32240, 198, 32668, 13281, 287, 19192, 198, 11522, 349, 1348, 6832, 290, 8573, 287, 3908, 198, 49174, 276, 32240, 198, 15580, 654, 290, 8573, 6572, 416, 26854, 198, 15580, 654, 290, 8573, 33359, 287, 1853, 42, 3535, 27415, 318, 257, 4097, 1912, 287, 5401, 5652, 13, 198, 14574, 2128, 318, 3417, 355, 18692, 19718, 11, 4687, 15261, 290, 402, 2543, 397, 6548, 13, 198, 198, 37, 6302, 416, 17245, 3851, 509, 6192, 290, 25672, 4373, 11, 1111, 1966, 1866, 286, 15504, 1448, 679, 338, 2011, 8402, 1375, 338, 2011, 26553, 13, 198, 198, 818, 2177, 11, 511, 2116, 12, 83, 7803, 8886, 5062, 373, 2716, 284, 3094, 4688, 21684, 26, 23807, 2947, 366, 8625, 3875, 3214, 287, 1842, 351, 511, 46937, 2890, 3367, 873, 290, 511, 26758, 41792, 22672, 1600, 23517, 11175, 366, 42, 3535, 27415, 711, 511, 3748, 13516, 286, 4317, 82, 27240, 3881, 11, 4101, 82, 44397, 469, 290, 665, 648, 88, 1499, 351, 790, 11111, 286, 511, 1767, 1600, 10656, 2947, 366, 42, 3535, 27415, 468, 257, 47868, 329, 6940, 278, 534, 356, 8638, 6650, 284, 257, 1278, 600, 278, 673, 268, 13, 383, 995, 2125, 470, 319, 2046, 26, 340, 338, 21377, 526, 198, 198, 42, 3535, 27415, 423, 2826, 625, 7337, 2523, 1201, 1584, 11, 1390, 11057, 379, 1811, 2647, 25575, 25, 44205, 17887, 11, 12200, 3319, 11117, 11, 21567, 8026, 6119, 2194, 11, 3576, 32677, 11, 14345, 1845, 5049, 11, 11424, 10711, 11, 40695, 13707, 2502, 11, 22875, 284, 22875, 11, 383, 3878, 14473, 13, 198, 198, 14772, 23532, 4373, 318, 257, 366, 44335, 15360, 34269, 1, 1900, 329, 607, 14250, 286, 326, 2176, 48388, 3918, 13, 198, 198, 14350, 509, 6192, 3058, 8198, 309, 4462, 6, 383, 4614, 454, 290, 318, 262, 31845, 286, 2739, 3517, 8674, 11, 5199, 18193, 13, 198, 198, 19927, 220, 198, 198, 19665, 397, 6548, 2647, 2628, 198, 10694, 605, 2628, 422, 5401, 5652, 464, 18580, 72, 18840, 2930, 2634, 357, 14508, 1900, 355, 33405, 64, 390, 2930, 2634, 290, 1629, 10102, 8, 373, 257, 220, 357, 4093, 35, 8, 1057, 416, 262, 36399, 3701, 5221, 1141, 262, 2116, 12, 34365, 992, 2351, 797, 9971, 1634, 10854, 357, 38108, 1906, 29279, 737, 198, 198, 18122, 198, 198, 44, 504, 72, 18840, 2930, 2634, 373, 281, 1468, 2156, 5140, 319, 220, 319, 262, 4865, 1022, 262, 11684, 286, 5833, 417, 283, 290, 632, 84, 4496, 278, 10205, 11, 2142, 17305, 390, 3461, 18840, 11, 46210, 44692, 22783, 13, 198, 198, 818, 1248, 3104, 11, 262, 4141, 6455, 4188, 15773, 220, 9477, 7265, 43025, 287, 262, 30140, 286, 3461, 18840, 13, 1318, 339, 3170, 262, 33405, 64, 2930, 2634, 11, 810, 339, 7256, 2241, 284, 262, 18954, 286, 755, 78, 14260, 290, 24424, 13, 1649, 2930, 2634, 3724, 287, 48889, 11, 262, 8604, 547, 9086, 1871, 1115, 286, 465, 1751, 13, 554, 21489, 11, 465, 4957, 1004, 420, 29523, 11, 28625, 284, 262, 7110, 48106, 632, 84, 4496, 278, 10205, 11, 290, 607, 5229, 34802, 4476, 10378, 756, 20462, 262, 7068, 16852, 6206, 13109, 2930, 2634, 11, 3956, 286, 1004, 420, 29523, 11, 284, 1382, 262, 18580, 72, 18840, 11, 257, 4141, 12, 7635, 582, 273, 319, 734, 18570, 351, 5696, 17392, 422, 2031, 13, 383, 8737, 286, 262, 2615, 373, 13105, 416, 262, 10016, 10747, 326, 11191, 340, 13, 198, 198, 818, 35768, 11, 1004, 420, 29523, 9477, 1367, 43025, 286, 48106, 1956, 13, 5856, 883, 812, 11, 262, 717, 45944, 3279, 547, 925, 11, 3501, 4485, 284, 764, 198, 198, 1890, 3840, 407, 4920, 11, 262, 24141, 373, 2702, 284, 262, 27338, 1483, 286, 262, 2254, 286, 46210, 44692, 287, 24977, 11, 329, 257, 2160, 1969, 284, 1115, 1510, 32317, 418, 357, 7174, 366, 14648, 7395, 32317, 418, 11074, 2293, 262, 2121, 286, 16852, 2448, 18840, 11, 262, 3119, 373, 9826, 9958, 1566, 19322, 13, 198, 198, 7191, 262, 390, 26126, 12112, 286, 16852, 17409, 48041, 272, 29690, 287, 19322, 11, 262, 2615, 373, 1128, 333, 29813, 355, 262, 3790, 6, 2085, 286, 262, 767, 400, 3701, 26012, 286, 3461, 18840, 11, 4145, 3726, 262, 2422, 338, 4931, 287, 262, 1989, 13, 2293, 262, 12092, 286, 15408, 11, 422, 15589, 284, 15524, 11, 262, 2524, 2163, 276, 355, 257, 39903, 13280, 3641, 739, 262, 12934, 286, 262, 3701, 5221, 11, 351, 6829, 422, 262, 46210, 44692, 4287, 286, 5833, 417, 283, 13, 554, 262, 46468, 286, 262, 1128, 601, 669, 340, 373, 1900, 355, 366, 2953, 10102, 1, 393, 366, 14772, 18580, 72, 18840, 1911, 198, 198, 8332, 262, 7646, 6973, 290, 8452, 284, 543, 262, 10577, 23707, 287, 262, 24141, 547, 16164, 11, 281, 6654, 373, 1744, 11, 290, 351, 340, 1625, 262, 3726, 286, 262, 886, 329, 428, 39903, 13280, 3641, 13, 1550, 1987, 2805, 15524, 11, 11194, 2530, 351, 262, 1218, 11162, 286, 262, 2422, 12092, 11, 44185, 1012, 24051, 309, 4131, 333, 81, 5362, 11, 7806, 9223, 5185, 78, 11, 1962, 4665, 5908, 38982, 6557, 358, 8471, 11, 290, 17409, 16364, 29690, 8252, 12654, 8590, 5257, 284, 20528, 503, 416, 21683, 2405, 12105, 290, 41529, 422, 257, 4324, 319, 262, 717, 4314, 13, 2312, 2995, 389, 11027, 515, 287, 262, 4793, 2646, 14160, 286, 281, 14473, 416, 3437, 1215, 380, 21162, 6488, 316, 5733, 13, 198, 198, 3260, 262, 6654, 11, 262, 2422, 4773, 3066, 284, 4117, 262, 2615, 284, 7808, 2370, 286, 1692, 2489, 19544, 326, 550, 5091, 612, 13, 383, 24141, 373, 900, 319, 2046, 290, 6382, 863, 11, 4305, 691, 281, 21354, 24685, 16175, 671, 11, 290, 262, 10577, 547, 1908, 284, 2972, 23634, 4991, 13, 554, 12863, 11, 2582, 706, 262 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 82, 339, 588, 5633, 10148, 19650, 494, 1718, 257, 2239, 736, 290, 18484, 9178, 306, 764, 15506, 257, 2588, 256, 615, 1952, 72, 837, 10148, 285, 40302, 25029, 287, 607, 1027, 764, 15506, 345, 760, 837, 286, 4161, 85, 533, 17793, 33750, 764, 10148, 7091, 550, 299, 470, 1900, 764, 11873, 257, 17793, 9413, 629, 295, 4893, 257, 2588, 705, 82, 21929, 5642, 837, 465, 3918, 286, 6576, 290, 3863, 262, 1738, 339, 705, 67, 587, 510, 379, 262, 7850, 764, 4360, 340, 750, 299, 470, 4727, 683, 4478, 510, 379, 262, 3641, 764, 15506, 1312, 4750, 326, 339, 4193, 345, 351, 326, 22206, 837, 10148, 285, 40302, 2087, 764, 1169, 9095, 550, 262, 44005, 804, 286, 530, 4953, 329, 257, 1171, 12, 1154, 2313, 1643, 286, 30914, 764, 19650, 494, 27961, 866, 257, 23844, 286, 1233, 4594, 290, 12539, 607, 13589, 764, 15506, 644, 356, 423, 503, 994, 837, 10148, 673, 531, 837, 4769, 257, 11831, 17841, 656, 262, 4676, 837, 7559, 389, 6639, 290, 795, 330, 12931, 5417, 31420, 422, 40689, 48023, 15489, 764, 732, 705, 303, 1908, 10712, 8405, 284, 334, 66, 288, 23401, 290, 389, 10240, 351, 262, 21531, 286, 19838, 764, 10148, 7091, 750, 299, 470, 3068, 262, 25451, 13810, 7040, 287, 262, 5093, 15489, 393, 262, 2511, 261, 484, 705, 67, 1043, 287, 262, 1660, 764, 25591, 24009, 561, 423, 284, 4043, 1566, 673, 550, 517, 2370, 764, 15506, 644, 546, 262, 25451, 29718, 345, 705, 303, 6848, 422, 262, 5093, 15489, 5633, 10148, 1169, 9095, 2921, 257, 6970, 8212, 284, 285, 40302, 837, 781, 9484, 607, 4190, 757, 290, 35137, 262, 21822, 5699, 764, 15506, 285, 81, 13, 435, 29199, 1297, 502, 345, 705, 67, 5071, 617, 25521, 9136, 287, 262, 1660, 8405, 422, 510, 612, 764, 10148, 19650, 494, 50030, 379, 285, 40302, 290, 12070, 607, 11914, 656, 257, 4081, 1627, 764, 3919, 2300, 703, 673, 31764, 683, 837, 339, 1239, 3947, 284, 651, 326, 2267, 1718, 640, 290, 326, 6419, 547, 1593, 764, 258, 635, 750, 299, 470, 1283, 284, 651, 326, 443, 8103, 12910, 373, 2089, 1576, 837, 475, 5243, 21797, 2823, 606, 656, 257, 2187, 649, 983, 764, 361, 262, 1218, 2835, 286, 8405, 6789, 3967, 329, 2511, 261, 837, 484, 705, 67, 761, 257, 845, 7773, 6027, 1803, 4811, 837, 407, 4295, 14408, 326, 32064, 661, 878, 484, 550, 262, 6419, 764, 4360, 783, 340, 705, 67, 307, 477, 625, 262, 37862, 1705, 764, 1169, 9095, 13488, 837, 4769, 607, 21822, 287, 530, 1021, 290, 351, 262, 584, 32746, 722, 607, 6576, 326, 537, 2150, 588, 4168, 764, 1169, 19992, 30594, 373, 257, 19278, 6273, 284, 14509, 494, 705, 82, 7872, 1017, 21630, 290, 14263, 494, 764, 19650, 494, 23831, 625, 284, 285, 40302, 764, 15506, 1312, 892, 1312, 705, 297, 2666, 428, 530, 284, 345, 837, 10148, 673, 25029, 764, 15506, 345, 705, 260, 880, 12, 31409, 764, 10148, 7091, 279, 16898, 683, 319, 262, 3211, 764, 15506, 290, 645, 517, 5114, 286, 262, 5093, 15489, 3074, 837, 407, 1865, 764, 10148, 6381, 2301, 13493, 285, 40302, 705, 82, 7128, 272, 837, 673, 18859, 1497, 290, 6807, 3812, 607, 7779, 837, 15482, 262, 3676, 41763, 4395, 275, 12, 2487, 287, 262, 29707, 764, 260, 1819, 1010, 764, 11246, 286, 606, 4001, 880, 837, 475, 749, 547, 2045, 329, 2910, 764, 4053, 837, 484, 705, 67, 651, 6088, 286, 326, 764, 7091, 705, 67, 14921, 329, 308, 496, 284, 1011, 606, 319, 257, 4205, 286, 262, 27887, 290, 4436, 837, 351, 257, 938, 2245, 287, 497, 19915, 13764, 764, 5562, 3221, 523, 9451, 606, 510, 764, 259, 607, 2000, 705, 82, 4151, 673, 2497, 262, 583, 2584, 21541, 573, 316, 1586, 287, 607, 336, 576, 926, 418, 1973, 262, 46852, 4314, 286, 262, 497, 19915, 13764, 2248, 837, 475, 262, 2939, 750, 299, 470, 787, 607, 8212, 764, 7091, 3177, 5059, 1363, 475, 618, 673, 4251, 262, 1353, 286, 262, 12788, 837, 673, 3066, 284, 1182, 866, 284, 262, 10481, 764, 1169, 691, 5006, 287, 262, 1256, 547, 883, 286, 257, 1178, 44277, 9053, 364, 13226, 262, 9813, 991, 10708, 287, 706, 7415, 705, 82, 6388, 764, 7091, 23831, 1028, 607, 7779, 290, 7342, 530, 4929, 257, 1474, 12, 14640, 2270, 764, 258, 33838, 1740, 837, 34080, 306, 26916, 465, 3096, 290, 6225, 257, 5381, 11546, 7370, 764, 258, 39080, 1150, 262, 1986, 286, 262, 6769, 290, 788, 27803, 5032, 2759, 866, 262, 736, 1589, 290, 14098, 992, 503, 284, 4043, 329, 262, 1306, 530, 764, 66, 652, 561, 705, 303, 6325, 764, 372, 3956, 373, 257, 995, 8783, 969, 2232, 837, 475, 772, 339, 1718, 262, 9813, 379, 22075, 78, 6411, 764, 77, 4824, 2386, 361, 3317, 36254, 373, 329, 262, 14297, 393, 262, 19538, 837, 290, 262, 19538, 750, 407, 938, 890, 764, 7091, 8288, 257, 2392, 2270, 837, 9871, 284, 423, 262, 10402, 287, 607, 2661, 611, 262, 9813, 550, 262, 2700, 286, 1115, 7319, 4608, 286, 1280, 1660, 10708, 287, 2157, 764, 7091, 284, 276, 572, 607, 10012, 290, 6807, 284, 262, 384, 10341, 25746, 379, 262, 1290, 886, 286, 262, 10481, 764, 259, 71, 4272, 7744, 837, 673, 5954, 262, 23453, 21212, 286, 262, 36021, 28633, 656, 607, 21726, 764, 1456, 673, 714, 18044, 764, 1456, 673, 714, 892, 764, 7091, 13818, 379, 5223, 764, 260, 9631, 373, 517, 588, 340, 764, 29532, 262, 1803, 1464, 29738, 607, 764, 7091, 373, 257, 2839, 1048, 837, 3863, 1165, 2839, 837, 290, 262, 670, 379, 262, 3641, 2672, 6041, 286, 7071, 351, 262, 1171, 764, 1169, 1761, 49984, 373, 4465, 329, 40318, 262, 4365, 290, 8620, 5153, 837, 475, 5055, 287, 340, 373, 299, 470, 530, 286, 607, 18929, 764, 270, 19064, 607, 837, 290, 12979, 673, 1464, 2622, 45832, 764, 10502, 19531, 1079, 319, 262, 1761, 49984, 2162, 339, 1239, 1718, 340, 1165, 6411, 764, 7091, 705, 67, 2138, 307, 613, 1586, 656, 257, 36396, 837, 9489, 257, 8185, 393, 1364, 284, 262, 5897, 49917, 286, 607, 2267, 764, 7091, 638, 2120, 284, 10716, 257, 5417, 3491, 40137, 284, 257, 2613, 286, 885, 34431, 326, 550, 18989, 287, 351, 262, 20013, 764, 1169, 3491, 561, 4656, 319, 262 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 588, 48917, 3148, 82, 5633, 10148, 10312, 1592, 771, 290, 3177, 15614, 278, 262, 4905, 764, 7091, 750, 299, 470, 765, 7933, 2763, 284, 13551, 465, 5353, 319, 607, 764, 4360, 7332, 72, 6016, 2945, 764, 15506, 1312, 705, 303, 691, 587, 284, 530, 837, 475, 340, 373, 2495, 3608, 764, 22850, 5633, 10148, 70, 13220, 13541, 764, 15506, 1312, 6810, 534, 19847, 42893, 290, 1807, 345, 1244, 423, 5839, 340, 379, 428, 48917, 10876, 2354, 872, 6548, 764, 8117, 705, 82, 257, 3516, 612, 508, 1838, 465, 898, 8465, 22634, 764, 72, 3111, 287, 262, 18600, 1306, 284, 465, 530, 3931, 764, 10148, 83, 10145, 10764, 625, 262, 1310, 2659, 1304, 326, 11266, 262, 5137, 4077, 422, 262, 6203, 290, 6807, 5699, 284, 7933, 2763, 764, 15506, 644, 466, 345, 466, 379, 262, 10876, 5633, 10148, 15506, 1312, 466, 257, 7684, 286, 1243, 837, 475, 379, 326, 1948, 1693, 1312, 4193, 428, 1468, 3516, 1382, 300, 1769, 764, 10148, 15506, 644, 705, 82, 257, 300, 1133, 5633, 10148, 15506, 484, 705, 260, 1402, 26071, 32497, 837, 691, 484, 2128, 1180, 837, 10148, 7933, 2763, 4893, 764, 15506, 1312, 3181, 530, 319, 3096, 837, 1682, 764, 72, 705, 76, 1016, 284, 711, 257, 1918, 16212, 329, 2005, 494, 3496, 319, 340, 329, 262, 7401, 905, 764, 10148, 83, 10145, 4376, 281, 38220, 764, 15506, 1107, 5633, 10148, 70, 13220, 2067, 284, 10971, 837, 475, 6451, 7332, 72, 705, 82, 3072, 28077, 764, 7091, 27846, 379, 340, 290, 11686, 607, 2951, 764, 15506, 340, 705, 82, 616, 1995, 837, 10148, 673, 531, 837, 16842, 340, 284, 607, 1027, 764, 15506, 673, 705, 82, 1444, 502, 837, 588, 837, 790, 1110, 1201, 356, 1364, 764, 10148, 83, 10145, 6807, 3812, 262, 42467, 379, 7604, 1105, 764, 70, 13220, 3114, 10416, 764, 15506, 783, 644, 466, 1312, 466, 5633, 10148, 15506, 2147, 764, 10148, 10312, 17455, 683, 736, 3812, 262, 48018, 764, 15506, 783, 345, 423, 1223, 284, 1561, 546, 262, 1306, 640, 345, 766, 1123, 584, 764, 392, 534, 1306, 4876, 318, 284, 1265, 607, 503, 319, 257, 3128, 764, 10148, 64, 10927, 8212, 6364, 4104, 1973, 7933, 2763, 705, 82, 1986, 764, 15506, 8788, 764, 10148, 258, 269, 18339, 257, 7496, 705, 82, 3211, 764, 15506, 644, 561, 1312, 423, 1760, 1231, 345, 5633, 10148, 15506, 655, 307, 1654, 284, 14037, 502, 284, 262, 10614, 764, 10148, 10312, 31065, 2004, 7933, 2763, 705, 82, 8163, 287, 257, 8030, 835, 764, 8524, 837, 257, 7496, 705, 82, 3072, 14713, 276, 287, 607, 10000, 764, 24219, 16755, 837, 673, 5954, 340, 503, 290, 3114, 379, 262, 3159, 764, 11545, 649, 4286, 6218, 764, 372, 9353, 2067, 284, 256, 17697, 837, 290, 673, 3114, 510, 837, 4203, 588, 2130, 373, 4964, 764, 64, 9082, 18859, 2157, 262, 2344, 17805, 764, 1169, 3420, 284, 262, 48018, 275, 5102, 23112, 764, 18927, 3888, 2157, 257, 2054, 297, 271, 764, 4360, 618, 257, 7496, 18484, 7069, 837, 673, 750, 299, 470, 4003, 1997, 716, 747, 764, 7091, 12070, 1100, 764, 1169, 717, 4286, 9639, 319, 262, 3159, 764, 1169, 19516, 12600, 705, 82, 5863, 9753, 6203, 373, 287, 7786, 2962, 837, 1936, 6665, 3538, 7424, 625, 262, 1353, 764, 1169, 4286, 373, 44701, 837, 475, 257, 7496, 714, 787, 503, 607, 503, 49729, 2832, 764, 8658, 342, 64, 837, 287, 607, 7872, 6576, 837, 6204, 1306, 284, 607, 837, 546, 284, 49377, 625, 764, 12518, 257, 7496, 2277, 262, 826, 15452, 837, 262, 1306, 4590, 4120, 764, 5661, 2823, 550, 587, 2077, 257, 6626, 1218, 1568, 837, 21430, 262, 2589, 257, 7496, 550, 7121, 7400, 342, 64, 572, 764, 372, 1767, 9174, 287, 3095, 958, 764, 10312, 6150, 319, 262, 9753, 6203, 837, 607, 2832, 319, 607, 21497, 764, 7091, 3114, 588, 257, 4692, 12, 50132, 11868, 764, 15506, 257, 7496, 5633, 10148, 70, 13220, 6204, 2157, 607, 764, 15506, 318, 2279, 8788, 5633, 10148, 10312, 11687, 290, 24519, 262, 3159, 351, 607, 1021, 764, 15506, 21480, 837, 2279, 705, 82, 3734, 837, 10148, 673, 19837, 764, 7091, 21512, 379, 262, 1994, 15636, 284, 12233, 1111, 262, 5205, 837, 475, 329, 617, 1738, 837, 484, 561, 299, 470, 10921, 764, 16833, 640, 673, 28384, 656, 607, 4590, 15604, 757, 837, 612, 484, 547, 837, 2166, 290, 3641, 764, 372, 2612, 294, 4185, 276, 764, 3137, 1719, 606, 319, 607, 3072, 925, 607, 1254, 588, 612, 373, 257, 6473, 338, 12, 25379, 319, 607, 1182, 764, 7091, 550, 284, 651, 606, 572, 764, 372, 3072, 307, 538, 276, 757, 764, 505, 649, 3275, 837, 257, 649, 7995, 531, 764, 10312, 12070, 1100, 764, 10919, 611, 257, 1310, 7559, 6512, 494, 10148, 3751, 777, 284, 7933, 2763, 12, 392, 262, 1644, 5633, 72, 460, 12, 392, 1312, 481, 7874, 64, 1467, 1973, 262, 1049, 14083, 326, 6672, 837, 795, 813, 290, 474, 7350, 13488, 379, 262, 1353, 286, 262, 19516, 287, 262, 6290, 8222, 764, 64, 6546, 7679, 286, 7150, 26834, 11061, 606, 837, 37475, 6763, 4335, 422, 257, 7104, 20596, 837, 290, 257, 19974, 1627, 47632, 287, 262, 28633, 764, 368, 813, 7342, 355, 734, 3988, 287, 2166, 286, 607, 13176, 262, 32969, 19974, 1627, 705, 82, 17105, 290, 7121, 572, 764, 9930, 35292, 832, 262, 1633, 837, 508, 15816, 290, 14376, 837, 290, 11406, 11512, 319, 262, 584, 1735, 286, 262, 24343, 500, 764, 270, 750, 299, 470, 804, 588, 257, 14376, 2300, 284, 795, 813, 837, 996, 764, 3549, 588, 257, 1918, 12840, 764, 7091, 45871, 5699, 284, 474, 7350, 837, 508, 373, 277, 17484, 278, 6568, 306, 764, 15506, 389, 345, 1654, 356, 815, 466, 428, 5633, 10148, 73, 7350, 705, 82, 4772, 9230, 808, 276, 764, 15506, 345, 705, 260, 407, 1016, 284, 9015, 503, 319, 502, 783, 837, 389, 345, 5633, 72, 705, 303, 2227, 284, 466, 428, 329, 812, 764, 10148, 15506, 644, 611, 262, 3951, 2270, 5633, 10148, 368, 813, 3114, 43324, 379, 262, 442, 8597, 2174, 764, 1169, 21187, 550, 531, 340, 373, 379, 1551, 257, 16571, 12, 5898, 4268, 764, 15506, 262, 3951, 389, 2208, 11576, 764, 10148, 73, 7350, 34295, 795, 813, 7773, 764, 15506, 345, 705, 260, 1107, 12008, 837, 389 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 285, 3099, 533, 14187, 499, 479, 265, 265, 387, 259, 11, 299, 2533, 282, 289, 709, 3609, 474, 72, 2648, 263, 8614, 17, 15886, 1703, 799, 275, 8873, 13881, 285, 3099, 533, 7031, 70, 14717, 11223, 19687, 268, 11, 427, 397, 67, 466, 375, 71, 47748, 479, 258, 263, 8614, 18, 15886, 16397, 885, 11814, 6245, 479, 12236, 48822, 11, 2629, 282, 2611, 272, 885, 12720, 8614, 19, 15886, 2094, 78, 390, 268, 38387, 474, 71, 363, 6814, 442, 49675, 5650, 7252, 11, 284, 258, 12385, 14187, 48822, 2648, 263, 8614, 642, 15886, 20529, 1670, 67, 292, 47748, 610, 73, 402, 8546, 391, 11, 3996, 64, 19470, 7252, 952, 1582, 293, 573, 263, 8614, 21, 15886, 198, 198, 6214, 635, 198, 28793, 343, 79, 415, 198, 20678, 74, 4993, 198, 198, 19927, 198, 198, 50, 6003, 198, 33, 8873, 34523, 9900, 12, 16129, 8786, 198, 30821, 39939, 41, 9900, 3972, 318, 257, 7404, 287, 262, 406, 1219, 446, 8126, 4783, 286, 449, 71, 668, 4993, 1181, 286, 3794, 13, 4784, 284, 262, 2813, 21649, 11, 262, 7404, 550, 257, 3265, 286, 642, 31952, 13, 198, 198, 6214, 635, 220, 198, 406, 1219, 446, 8126, 4783, 198, 198, 19927, 220, 198, 198, 42074, 1095, 287, 406, 1219, 446, 8126, 4783, 47, 37087, 49996, 743, 3522, 284, 25, 198, 198, 47, 37087, 49996, 357, 38036, 8295, 11717, 1074, 828, 49119, 6638, 5584, 11717, 1074, 326, 32440, 287, 262, 6638, 9852, 278, 1879, 10749, 198, 47, 37087, 49996, 357, 11928, 541, 2879, 8295, 11717, 1074, 828, 8685, 12, 11928, 541, 2879, 8295, 11717, 1074, 11780, 287, 262, 376, 18, 7740, 10749, 198, 198, 6214, 635, 198, 46700, 40569, 14954, 11, 257, 49119, 1605, 8295, 11717, 1074, 11589, 1900, 355, 350, 37087, 19292, 3742, 393, 350, 37087, 19292, 3742, 4912, 326, 32440, 287, 262, 30774, 5454, 7171, 290, 3917, 2168, 1925, 392, 1373, 988, 3099, 318, 262, 21751, 5062, 329, 262, 21794, 2646, 286, 262, 976, 1438, 13, 632, 373, 13160, 416, 311, 13, 13308, 274, 86, 3301, 48395, 11, 351, 15844, 416, 350, 2674, 292, 321, 311, 13809, 290, 509, 849, 321, 648, 44949, 3834, 11110, 13, 383, 4469, 4776, 373, 13160, 416, 337, 13, 360, 13, 2547, 400, 42391, 10036, 11, 508, 373, 18419, 416, 371, 13, 569, 1698, 4121, 6696, 290, 347, 13, 29533, 42095, 13, 383, 21751, 5062, 3033, 1367, 8339, 287, 262, 2656, 32519, 2196, 11, 9472, 262, 43443, 2196, 468, 1511, 8339, 13, 198, 198, 41206, 220, 198, 49, 1228, 274, 86, 3301, 48395, 12433, 287, 257, 9656, 2720, 329, 383, 16397, 326, 340, 1718, 683, 625, 257, 614, 284, 36664, 262, 2646, 338, 2647, 11, 351, 881, 286, 465, 640, 13378, 284, 262, 13026, 12, 67, 590, 3715, 25, 366, 1722, 262, 35837, 6157, 11, 356, 973, 284, 22891, 17208, 290, 36664, 262, 2647, 13, 632, 373, 1760, 351, 8131, 1178, 12834, 13, 775, 973, 257, 19132, 11, 3478, 4274, 12, 42933, 1935, 1040, 11, 290, 24730, 422, 5478, 11, 6365, 11, 290, 46452, 543, 356, 423, 9477, 422, 281, 5510, 1810, 4057, 431, 526, 48395, 373, 3432, 352, 11, 4059, 355, 257, 9588, 11, 1141, 262, 2646, 338, 3227, 13, 198, 198, 1890, 262, 43443, 21751, 11, 311, 13, 311, 13, 23663, 272, 4438, 749, 286, 262, 3496, 284, 471, 2611, 47509, 11, 508, 1568, 2627, 2968, 306, 1900, 355, 13932, 13932, 13, 1375, 7317, 41723, 11, 4203, 326, 12878, 9930, 60, 547, 3675, 607, 9889, 1600, 475, 373, 4855, 416, 13308, 274, 86, 3301, 48395, 357, 8727, 366, 32931, 1327, 319, 607, 11074, 383, 2646, 373, 257, 19304, 329, 471, 2611, 47509, 11, 3805, 46837, 607, 2775, 351, 9920, 17870, 333, 27620, 312, 37875, 283, 11, 508, 23083, 607, 2775, 287, 24671, 13, 770, 290, 262, 366, 67, 7972, 1359, 27806, 1, 286, 262, 2646, 2831, 706, 3794, 338, 10404, 422, 262, 3517, 13308, 4191, 4444, 607, 3451, 287, 16388, 13777, 13, 198, 198, 5377, 9150, 220, 198, 464, 2647, 373, 12824, 416, 19659, 1512, 290, 17099, 436, 3216, 2647, 11, 9133, 1605, 290, 21813, 15504, 2647, 290, 42971, 266, 2501, 12271, 13, 4784, 284, 337, 13, 509, 13, 371, 10471, 615, 48286, 11, 20631, 1373, 988, 3099, 468, 366, 16184, 20981, 422, 685, 22245, 60, 26451, 290, 685, 40979, 349, 1872, 60, 371, 12078, 2584, 12, 42, 669, 44715, 357, 3351, 1456, 89, 671, 8, 852, 973, 379, 10092, 7188, 526, 366, 26705, 1078, 21008, 509, 1071, 343, 1872, 1600, 407, 6198, 636, 286, 262, 2646, 11, 373, 2087, 1141, 2457, 3227, 13, 3309, 2743, 40750, 3377, 625, 257, 1227, 28779, 278, 262, 3496, 13, 337, 13, 360, 13, 2547, 400, 42391, 10036, 373, 262, 6195, 14015, 286, 366, 32, 776, 273, 321, 32701, 36073, 44949, 1, 290, 763, 12, 82, 3889, 286, 366, 26705, 1078, 21008, 509, 1071, 343, 1872, 1911, 449, 13, 15226, 278, 13308, 64, 9520, 2826, 8178, 295, 290, 19132, 287, 262, 2646, 338, 21486, 13764, 3496, 13, 383, 33125, 26441, 373, 16573, 422, 366, 464, 43823, 311, 14226, 671, 1, 287, 5199, 1168, 13, 20131, 338, 28684, 2646, 11, 383, 40374, 13, 366, 15017, 73, 71, 21927, 3944, 64, 1600, 422, 262, 43443, 21751, 11, 318, 28845, 1912, 319, 366, 15017, 73, 71, 21927, 3944, 64, 350, 3702, 5303, 45296, 5031, 1, 422, 449, 5767, 16581, 1045, 357, 1129, 2598, 737, 198, 198, 3041, 4516, 220, 198, 1925, 392, 1373, 988, 3099, 2647, 4193, 787, 340, 530, 286, 262, 749, 12, 17212, 3942, 10530, 7328, 286, 262, 16236, 82, 11, 290, 340, 366, 25598, 281, 8137, 329, 257, 1271, 286, 2647, 13445, 12824, 416, 4885, 2647, 1, 287, 32519, 22041, 13, 554, 465, 8309, 1492, 11, 2907, 2971, 11, 2907, 29199, 25, 383, 12556, 32519, 31535, 11, 8790, 273, 13145, 531, 326, 2547, 400, 42391, 10036, 290, 13308, 274, 86, 3301, 48395, 366, 25598, 257, 3734, 13516, 286, 42280, 889, 2647, 286, 867, 4266, 526, 22183, 329, 15216, 287, 3035, 7795, 11, 2646, 18026, 337, 13, 16581, 461, 83, 615, 1381, 6081, 3417, 20631, 1373, 988, 3099, 7259, 355, 366, 17080, 4612, 290, 5055, 319, 685, 24571, 60, 898, 11, 351, 8523, 597, 4469, 4776, 9361, 284, 987, 8726, 1997, 11, 655, 9574 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 640, 256, 1156, 550, 916, 26963, 27069, 5260, 837, 5336, 46754, 4861, 373, 491, 5263, 290, 1312, 4444, 510, 287, 257, 4822, 12, 17223, 33658, 329, 1115, 1528, 764, 15506, 508, 64, 837, 508, 64, 837, 508, 64, 837, 10148, 1312, 531, 837, 1021, 287, 262, 1633, 764, 15506, 345, 705, 260, 407, 1016, 284, 1577, 3511, 510, 287, 5163, 764, 270, 705, 82, 3446, 644, 339, 3382, 764, 10148, 10919, 477, 262, 17708, 2227, 764, 15506, 543, 318, 3446, 1521, 340, 481, 670, 764, 10148, 72, 14682, 616, 1182, 837, 475, 339, 373, 299, 470, 8680, 837, 373, 299, 470, 772, 2045, 379, 502, 355, 339, 18484, 379, 262, 3355, 734, 3625, 284, 616, 826, 764, 24494, 290, 12899, 837, 339, 9514, 772, 474, 268, 591, 33627, 8331, 878, 465, 1986, 764, 15506, 645, 25607, 15189, 835, 837, 23878, 12, 805, 837, 10148, 262, 279, 844, 88, 531, 837, 257, 6016, 2266, 8977, 45085, 422, 683, 764, 15506, 356, 6619, 546, 428, 837, 3505, 5633, 5832, 1577, 3511, 510, 837, 290, 788, 3444, 2978, 705, 82, 655, 1016, 284, 423, 284, 12274, 534, 840, 503, 757, 837, 543, 1724, 1312, 705, 76, 7819, 8914, 25144, 764, 72, 1275, 299, 470, 1011, 340, 7471, 764, 72, 705, 76, 407, 257, 1862, 279, 844, 88, 764, 7091, 705, 82, 257, 3222, 837, 1309, 607, 466, 607, 44569, 12, 2436, 8992, 1693, 5145, 10148, 83, 1156, 705, 82, 6953, 12, 10424, 1745, 319, 465, 10825, 21368, 764, 15344, 278, 837, 339, 22591, 465, 6877, 319, 262, 3084, 764, 15506, 611, 1312, 869, 465, 43565, 837, 339, 705, 297, 1494, 606, 837, 10148, 339, 531, 764, 15506, 345, 760, 339, 481, 764, 8524, 339, 481, 8711, 2130, 2073, 329, 16094, 290, 340, 4940, 757, 764, 72, 466, 423, 7666, 837, 3444, 2978, 764, 72, 466, 1842, 661, 764, 72, 705, 76, 407, 1016, 284, 1309, 606, 4656, 329, 502, 5145, 10148, 15506, 326, 705, 82, 407, 644, 1312, 4001, 837, 10148, 1312, 531, 26625, 837, 290, 465, 36785, 3214, 422, 502, 764, 15506, 356, 1275, 299, 470, 651, 606, 736, 832, 262, 8028, 837, 475, 287, 262, 14324, 837, 1312, 705, 303, 1392, 1440, 1528, 284, 5236, 262, 1627, 764, 10148, 20063, 306, 14718, 837, 339, 26843, 1497, 837, 465, 13209, 9230, 1359, 764, 15506, 703, 857, 326, 1037, 300, 84, 948, 290, 26074, 72, 5633, 10148, 258, 531, 837, 465, 736, 284, 502, 355, 474, 268, 591, 2823, 502, 257, 804, 290, 11406, 319, 465, 8163, 764, 66, 16421, 837, 1312, 1807, 355, 256, 1156, 705, 82, 12450, 18397, 379, 1223, 474, 268, 591, 531, 764, 41907, 6810, 355, 880, 764, 20063, 306, 262, 734, 1450, 550, 1282, 284, 617, 1611, 286, 4547, 764, 15506, 611, 1312, 460, 4259, 262, 1627, 393, 5879, 326, 479, 84, 338, 1140, 925, 262, 7604, 837, 262, 17708, 481, 1210, 1028, 683, 837, 10148, 1312, 531, 837, 475, 340, 373, 1107, 517, 286, 257, 2911, 764, 15506, 26074, 72, 290, 300, 84, 948, 481, 307, 4504, 764, 10148, 72, 3114, 379, 262, 3753, 355, 611, 1312, 714, 766, 262, 3835, 319, 262, 18316, 2174, 764, 8117, 373, 2147, 287, 606, 546, 443, 88, 3951, 764, 22366, 287, 606, 837, 2147, 287, 262, 5888, 837, 2147, 287, 435, 705, 82, 5888, 764, 361, 612, 550, 587, 837, 356, 561, 423, 1043, 340, 416, 783, 764, 1069, 71, 4272, 23112, 837, 256, 1156, 6364, 30895, 866, 287, 257, 5118, 764, 1169, 938, 286, 465, 9335, 3214, 1497, 290, 339, 48560, 837, 22662, 319, 262, 3084, 355, 339, 3332, 35303, 284, 340, 764, 15506, 1312, 1275, 299, 470, 2526, 683, 5170, 300, 84, 948, 290, 26074, 72, 837, 10148, 339, 531, 837, 290, 257, 23844, 5901, 616, 13589, 764, 258, 373, 21530, 764, 270, 373, 299, 470, 616, 8046, 764, 258, 373, 262, 530, 508, 550, 1309, 479, 84, 338, 1140, 503, 837, 475, 339, 705, 67, 1760, 340, 284, 3613, 616, 1204, 837, 393, 2138, 837, 616, 4925, 764, 48796, 591, 373, 1642, 25530, 329, 502, 284, 466, 1223, 837, 290, 1312, 18288, 2286, 837, 3443, 3867, 1088, 262, 3641, 3753, 284, 1302, 612, 837, 4203, 2116, 12, 16796, 764, 72, 14028, 703, 890, 340, 550, 587, 1201, 339, 705, 67, 17065, 764, 15506, 435, 290, 1312, 1816, 503, 284, 804, 379, 262, 1627, 837, 10148, 1312, 531, 10818, 270, 3875, 764, 15506, 339, 1392, 11544, 2495, 2089, 837, 475, 340, 750, 1577, 514, 257, 1365, 2126, 286, 644, 479, 84, 338, 1140, 750, 764, 10148, 83, 1156, 750, 299, 470, 12127, 502, 837, 1642, 502, 1254, 517, 13006, 355, 1312, 45871, 736, 284, 1650, 287, 21628, 88, 705, 82, 5118, 764, 1820, 2951, 1816, 284, 256, 1156, 705, 82, 5858, 837, 290, 1312, 12086, 703, 340, 550, 2936, 284, 5806, 435, 705, 82, 764, 15506, 1312, 892, 1312, 7448, 465, 1204, 764, 17776, 764, 10148, 15506, 1312, 731, 326, 373, 257, 5975, 837, 10148, 339, 531, 5894, 306, 764, 354, 1347, 1359, 837, 1312, 5710, 616, 2951, 764, 15506, 340, 373, 764, 258, 24486, 299, 470, 307, 1498, 284, 9814, 257, 1627, 1566, 294, 3479, 764, 392, 1201, 1312, 466, 299, 470, 3774, 2687, 2073, 625, 612, 837, 1312, 705, 76, 7819, 994, 1566, 339, 38673, 764, 72, 760, 1312, 460, 4259, 262, 13044, 287, 262, 1627, 351, 47457, 705, 82, 1037, 837, 10148, 1312, 2087, 837, 290, 262, 44671, 19802, 29202, 3077, 465, 1182, 837, 465, 7894, 44637, 546, 284, 14441, 1088, 465, 3625, 764, 15506, 611, 1312, 460, 4259, 340, 837, 1312, 460, 5879, 479, 84, 338, 1140, 318, 2111, 284, 4117, 262, 1683, 12, 8499, 764, 2189, 72, 290, 300, 84, 948, 481, 307, 262, 938, 1517, 319, 465, 2000, 611, 262, 2104, 10098, 318, 706, 683, 764, 23108, 286, 606, 588, 683, 837, 6949, 764, 10148, 83, 1156, 531, 2147, 837, 16143, 379, 262, 3084, 764, 72, 373, 299, 470, 772, 1654, 339, 550, 2982, 502, 764, 1820, 6066, 1816, 284, 262, 17708, 290, 644, 288, 7344, 550, 531, 546, 606, 33188, 479, 84, 338, 1140, 764, 45525, 837, 484, 714, 42905, 479, 84, 338, 1140, 837, 475, 3252, 550, 925, 13384, 286, 606, 764, 9930, 547 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 18887, 286, 262, 1440, 376, 6950, 271, 6510, 11, 17100, 34705, 376, 6950, 271, 357, 66, 13, 1248, 2816, 1906, 1129, 1828, 828, 2627, 11149, 11949, 286, 383, 6932, 34174, 14345, 5834, 290, 788, 2276, 4706, 422, 35145, 284, 32062, 13, 383, 9397, 547, 11660, 1067, 624, 7307, 290, 1111, 2826, 329, 6932, 34174, 3691, 13, 24933, 379, 262, 8345, 25165, 11, 6932, 34174, 287, 2805, 1248, 3695, 13, 370, 13, 39, 13, 376, 6950, 271, 550, 2826, 329, 6932, 34174, 338, 21044, 3978, 1028, 370, 13, 38, 13, 8642, 558, 338, 30554, 379, 262, 976, 2323, 287, 1248, 4524, 13, 370, 13, 39, 13, 4978, 370, 13, 38, 13, 284, 886, 465, 717, 16267, 286, 27829, 13, 14533, 1757, 6440, 376, 6950, 271, 220, 290, 7516, 15796, 376, 6950, 271, 220, 635, 2826, 329, 262, 6932, 34174, 21044, 3978, 1028, 370, 13, 38, 13, 16156, 338, 1395, 43179, 198, 198, 16305, 2731, 34705, 373, 2192, 262, 1266, 1067, 624, 2357, 286, 262, 9397, 13, 198, 198, 464, 376, 6950, 271, 11566, 318, 6412, 284, 355, 797, 71, 672, 849, 11, 543, 13519, 23677, 422, 9133, 25442, 10494, 355, 366, 15460, 3984, 1, 393, 366, 3823, 1911, 797, 71, 672, 849, 318, 6412, 284, 287, 262, 4845, 4003, 286, 27443, 10674, 376, 6950, 271, 11, 262, 10550, 4957, 286, 17100, 1222, 10490, 376, 6950, 271, 11, 284, 3977, 16095, 287, 1248, 2425, 11, 26, 757, 11, 355, 262, 11566, 286, 27443, 290, 3977, 16095, 319, 262, 4082, 286, 511, 4957, 287, 1248, 4304, 26, 290, 355, 17100, 376, 6950, 271, 6, 2209, 287, 465, 909, 270, 2838, 13, 632, 561, 1283, 749, 1884, 326, 262, 1438, 286, 511, 11566, 373, 422, 262, 9111, 11, 18993, 2608, 25, 1828, 220, 679, 3888, 319, 422, 612, 290, 18735, 1194, 880, 11, 290, 645, 530, 627, 9624, 992, 625, 340, 13, 679, 3706, 340, 797, 71, 672, 849, 17414, 64, 60, 2282, 11, 564, 250, 3844, 262, 4453, 468, 1813, 514, 2119, 290, 356, 481, 31147, 287, 262, 1956, 13, 447, 251, 198, 198, 29284, 376, 6950, 271, 357, 17919, 8, 220, 198, 16305, 2731, 376, 6950, 271, 3724, 287, 6932, 34174, 287, 2693, 1248, 3720, 286, 35647, 11, 339, 307, 421, 4098, 704, 477, 465, 1103, 290, 2614, 7964, 284, 465, 3656, 10490, 376, 6950, 271, 13, 383, 7964, 373, 17560, 379, 4248, 17, 11, 37730, 12, 1558, 12, 21, 11, 1390, 1103, 7964, 17560, 379, 4248, 8054, 13, 1629, 262, 640, 286, 17100, 338, 1918, 11, 262, 376, 6950, 271, 547, 2877, 287, 20653, 3530, 11, 28179, 3327, 11, 3584, 428, 743, 423, 587, 655, 587, 281, 5559, 2209, 326, 373, 973, 329, 797, 71, 672, 849, 11, 543, 750, 423, 530, 286, 663, 2166, 1095, 319, 20653, 3530, 13, 554, 281, 15422, 287, 383, 6932, 34174, 2907, 287, 1248, 3695, 11, 329, 257, 22946, 292, 23386, 1168, 40062, 357, 6286, 3426, 1105, 11, 4751, 8, 318, 281, 1605, 8674, 13, 679, 2826, 32662, 287, 262, 9961, 2646, 10884, 1694, 362, 11, 17826, 23948, 287, 262, 19907, 10997, 12, 67, 20058, 2646, 1160, 400, 13641, 6926, 290, 24023, 347, 306, 1169, 287, 15397, 351, 281, 412, 13, 198, 198, 30228, 1204, 198, 57, 40062, 373, 4642, 287, 262, 4842, 11, 9486, 11, 6232, 286, 15372, 3250, 11, 262, 13325, 286, 1440, 9397, 13, 679, 318, 220, 286, 5582, 8159, 290, 9141, 16505, 1524, 13, 679, 9141, 21827, 25335, 3961, 11, 290, 788, 287, 8150, 9559, 3888, 284, 262, 4842, 24261, 24263, 3961, 1566, 16974, 9559, 11, 290, 4504, 757, 329, 665, 44659, 9559, 13, 198, 198, 17784, 263, 198, 1544, 373, 5071, 416, 257, 7401, 5797, 618, 31678, 278, 329, 257, 8519, 7401, 2989, 287, 4842, 379, 350, 2093, 282, 17421, 6988, 365, 13092, 13, 2399, 717, 47773, 656, 7205, 1625, 355, 281, 34549, 2888, 287, 257, 3227, 286, 262, 10530, 15416, 0, 287, 465, 20994, 379, 7849, 22207, 10933, 357, 36234, 4401, 26049, 10933, 8, 764, 679, 788, 925, 257, 40794, 287, 262, 12074, 2168, 24956, 23, 13, 198, 198, 57, 40062, 338, 717, 1263, 2597, 373, 287, 262, 9961, 2646, 10884, 1694, 362, 11, 2712, 32662, 13, 679, 373, 635, 6810, 416, 2712, 262, 2095, 17826, 23948, 11, 287, 262, 15694, 12, 26601, 3898, 1160, 400, 13641, 6926, 11, 7848, 2574, 293, 13836, 768, 11, 15890, 3864, 463, 929, 11, 35877, 64, 13573, 28033, 290, 1052, 48115, 347, 3101, 13, 679, 318, 1900, 18309, 355, 24023, 347, 306, 1169, 319, 262, 5398, 12074, 2168, 15397, 351, 281, 412, 11, 290, 635, 19152, 18106, 360, 1940, 563, 14, 32, 287, 262, 6036, 9267, 12, 785, 3807, 3887, 3596, 357, 7908, 737, 198, 198, 39750, 4867, 198, 198, 39750, 198, 198, 6767, 5024, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 198, 11024, 27244, 198, 2481, 301, 12, 14792, 1605, 4257, 10544, 198, 36376, 661, 198, 7437, 4257, 1200, 10544, 198, 28240, 1605, 4257, 10544, 464, 317, 11072, 2892, 29310, 286, 520, 13, 4502, 7499, 318, 257, 19955, 45262, 17650, 4928, 1474, 262, 7404, 286, 317, 11072, 287, 7859, 338, 46065, 3814, 286, 24797, 544, 11, 860, 10571, 5366, 286, 262, 3240, 286, 18024, 333, 1136, 72, 13, 198, 198, 19895, 5712, 495, 220, 198, 464, 317, 11072, 38139, 318, 257, 2060, 12, 77, 1015, 6899, 4928, 11, 3170, 286, 339, 675, 7815, 13, 28407, 276, 379, 262, 886, 286, 262, 1511, 400, 4289, 393, 287, 262, 1903, 1478, 400, 11, 340, 373, 1568, 302, 305, 1659, 276, 11, 46353, 290, 11191, 416, 257, 6110, 3355, 13, 383, 2187, 11087, 318, 34093, 1073, 276, 13, 2773, 4636, 874, 11, 22152, 16772, 14567, 284, 262, 2739, 1511, 400, 4289, 290, 13935, 278, 1527, 259, 871, 351, 262, 3175, 3609, 928, 272, 1242, 11, 389, 7196, 6826, 374, 283, 871, 11, 884, 355, 883, 27561, 262, 1204, 286, 9281, 4502, 13, 1881, 286, 262, 19249, 1035, 24370, 11, 287, 8312, 11, 15802, 32606, 320, 418, 11, 257, 4759, 46057, 2797, 500, 11, 2192, 257, 34537, 13, 317, 45262, 40189, 287, 262, 355, 296, 83, 615, 81, 32176, 4226, 11, 12623, 319, 262, 10183, 24685, 16175, 671, 11, 9743, 25, 366, 48615, 4502, 11, 987, 771, 68 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 27244, 198, 36376, 661, 198, 26531, 3065, 2150, 19900, 854, 2040, 1938, 198, 11922, 16, 1938, 198, 23709, 12217, 1938, 379, 262, 2864, 10633, 14935, 198, 14942, 6983, 4771, 12217, 30896, 7338, 198, 46, 6760, 291, 4771, 12217, 1938, 286, 2520, 4969, 198, 43224, 5776, 8465, 18279, 1023, 329, 2520, 4969, 198, 9921, 282, 1023, 379, 262, 2177, 7740, 10633, 5776, 198, 43224, 5776, 18279, 1023, 287, 4771, 12217, 198, 23709, 12217, 1938, 379, 262, 2177, 7740, 10633, 5776, 464, 2159, 3661, 803, 11937, 357, 19416, 37, 8, 373, 281, 3626, 287, 5816, 284, 6330, 262, 4037, 3661, 803, 4479, 355, 262, 15030, 1767, 329, 4771, 33051, 13, 198, 198, 18122, 198, 464, 370, 20802, 373, 9393, 287, 262, 16280, 286, 262, 6244, 10633, 14935, 3785, 33051, 10731, 13, 30305, 329, 262, 4009, 547, 3414, 287, 2805, 5816, 11, 290, 2950, 1966, 3180, 52, 2828, 25737, 12, 43227, 520, 24052, 3841, 11, 20733, 41227, 2395, 35671, 11, 6575, 38477, 268, 768, 11, 290, 26036, 64, 9329, 32762, 13, 198, 198, 464, 1448, 8072, 284, 5052, 287, 281, 46735, 5642, 11, 25137, 262, 718, 13, 15, 1080, 11, 290, 4155, 326, 4771, 33051, 22989, 13043, 481, 307, 2714, 16689, 11, 290, 307, 45703, 12974, 13, 198, 198, 6943, 286, 262, 1448, 338, 1866, 547, 4367, 284, 307, 422, 262, 1578, 1829, 11, 393, 670, 612, 13, 1629, 262, 640, 3352, 329, 370, 20802, 547, 3414, 11, 262, 1448, 550, 257, 6027, 4466, 286, 720, 16, 1510, 11, 475, 550, 691, 4376, 546, 720, 2167, 11, 830, 13, 383, 1637, 373, 4632, 4376, 422, 3925, 1642, 1402, 10976, 13, 198, 198, 3041, 4516, 198, 2953, 262, 640, 286, 262, 1448, 338, 16636, 11, 340, 550, 2722, 645, 1104, 422, 597, 2260, 33051, 28062, 602, 11, 3805, 3667, 326, 262, 1578, 1829, 11291, 3661, 803, 5396, 561, 1104, 262, 370, 20802, 13, 383, 1294, 37, 4090, 338, 4640, 5583, 1568, 7052, 284, 11438, 262, 370, 20802, 338, 7811, 11, 475, 407, 262, 1448, 2346, 13, 198, 198, 818, 3090, 11, 4037, 11514, 4606, 1992, 35437, 8041, 469, 7392, 284, 1826, 351, 262, 1448, 393, 2074, 663, 9554, 11, 2282, 262, 48245, 691, 21570, 530, 36986, 583, 6332, 13, 198, 198, 1797, 52, 2828, 15006, 4040, 379, 4441, 262, 370, 20802, 290, 12318, 663, 1866, 11, 2282, 484, 750, 2147, 284, 4439, 22989, 12506, 1141, 511, 640, 351, 262, 3180, 52, 13, 198, 198, 18559, 291, 6583, 286, 370, 20802, 1866, 11, 2092, 284, 883, 21346, 416, 262, 3180, 52, 11, 547, 22211, 416, 883, 2354, 286, 262, 3180, 52, 11, 475, 262, 1448, 750, 3328, 3967, 3651, 422, 379, 1551, 530, 28823, 11, 508, 531, 663, 1866, 547, 39915, 26930, 326, 389, 880, 1900, 329, 617, 640, 13, 198, 198, 31077, 416, 3180, 52, 198, 1797, 52, 2828, 8556, 284, 6878, 28062, 602, 393, 3925, 508, 4855, 262, 2270, 8272, 1448, 13, 27304, 5052, 4794, 270, 22384, 301, 12, 51, 2381, 273, 373, 5710, 422, 262, 22989, 6103, 379, 257, 5449, 11, 257, 1110, 706, 673, 5399, 262, 1803, 4495, 16428, 262, 370, 20802, 338, 16636, 13, 2773, 2260, 28062, 602, 11, 1390, 3661, 378, 3340, 11, 8556, 284, 46466, 1866, 611, 484, 4855, 262, 370, 20802, 13, 198, 198, 818, 2882, 11, 370, 20802, 2828, 5717, 257, 8087, 1028, 262, 3180, 52, 287, 3426, 5816, 11, 12988, 3098, 12, 46131, 4069, 13, 383, 8087, 373, 11126, 287, 3945, 5075, 13, 27265, 19547, 11, 38477, 268, 768, 11, 379, 262, 640, 262, 1448, 338, 7205, 1893, 11, 3414, 326, 262, 1448, 561, 307, 26306, 13, 198, 198, 28724, 11, 262, 3180, 52, 3066, 326, 22384, 301, 12, 51, 2381, 273, 11, 1863, 351, 520, 24052, 3841, 11, 38477, 268, 768, 11, 9329, 32762, 11, 5966, 6612, 290, 2365, 11652, 11, 547, 15009, 422, 262, 1448, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 23709, 33051, 198, 23709, 33051, 15030, 5920, 198, 23709, 33051, 5745, 198, 18153, 5745, 4920, 287, 262, 2310, 301, 4289, 49, 305, 74, 402, 46286, 297, 5069, 1228, 357, 26, 4642, 838, 3945, 20510, 8, 318, 257, 50008, 12769, 27001, 666, 662, 17660, 286, 262, 7835, 4564, 508, 9179, 355, 262, 36746, 286, 2409, 422, 1584, 13, 679, 11589, 4983, 355, 262, 18584, 4160, 18382, 286, 262, 6031, 31292, 286, 509, 20965, 422, 13130, 284, 33448, 13, 198, 198, 14662, 220, 198, 198, 3260, 262, 886, 286, 465, 19823, 3640, 287, 465, 6868, 1748, 11, 371, 305, 74, 402, 46286, 297, 5069, 1228, 9713, 8876, 290, 24383, 287, 371, 2926, 38001, 290, 2722, 319, 352, 2932, 12923, 11, 262, 49081, 286, 7439, 30689, 329, 262, 19295, 4160, 8694, 286, 4389, 89, 918, 13, 679, 788, 3111, 287, 1811, 1582, 5614, 355, 257, 20429, 283, 290, 706, 355, 257, 22175, 11, 749, 286, 606, 287, 350, 1585, 1437, 13, 402, 46286, 297, 5069, 1228, 373, 28830, 11503, 286, 262, 520, 13, 9953, 28830, 287, 350, 1585, 1437, 355, 880, 355, 43428, 286, 262, 19295, 4160, 8694, 286, 4389, 89, 918, 13, 679, 373, 635, 262, 3437, 286, 8829, 1526, 34655, 287, 27001, 666, 290, 257, 18920, 284, 262, 360, 799, 64, 4158, 12, 30844, 905, 13, 1550, 642, 3035, 1584, 339, 373, 9899, 416, 13258, 12155, 355, 36746, 286, 2409, 13, 2399, 2462, 42522, 2760, 1883, 373, 6157, 416, 465, 18476, 1168, 891, 402, 12144, 11, 9834, 33, 319, 1478, 1737, 286, 262, 976, 614, 290, 262, 763, 12, 1102, 2363, 18942, 547, 262, 19295, 4160, 399, 19524, 952, 287, 37562, 11, 36746, 32834, 89, 2365, 385, 89, 11, 290, 262, 19295, 4160, 22998, 286, 4389, 89, 918, 11, 15990, 26689, 402, 73, 6422, 7285, 13, 198, 198, 19927, 220, 198, 198, 1129, 5333, 27244, 198, 2481, 301, 12, 14792, 7993, 7835, 27538, 287, 50008, 305, 198, 42, 418, 22590, 7993, 7835, 27538, 198, 42, 418, 22590, 661, 286, 27001, 666, 18598, 198, 36376, 661, 198, 19895, 65, 21863, 286, 3738, 35460, 43, 454, 8906, 9666, 8836, 782, 14870, 406, 2879, 1718, 15827, 329, 6078, 262, 2457, 287, 938, 614, 290, 9772, 262, 11749, 8783, 33026, 544, 6595, 15253, 767, 1906, 21, 7, 22, 1906, 18, 828, 718, 1906, 19, 287, 262, 2457 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 198, 1858, 318, 257, 2055, 7372, 290, 18518, 10096, 287, 262, 7404, 379, 262, 1966, 911, 346, 1219, 32939, 13, 198, 198, 46655, 6605, 1474, 262, 886, 286, 262, 19272, 318, 383, 5476, 88, 647, 3961, 338, 15162, 7372, 11, 43740, 70, 349, 5476, 88, 647, 43047, 34089, 15379, 9072, 357, 19596, 1112, 262, 6832, 286, 262, 1966, 4165, 1524, 737, 383, 1524, 4539, 12420, 13229, 1123, 614, 329, 614, 767, 290, 614, 860, 25613, 11, 355, 880, 355, 2972, 2269, 4867, 290, 18468, 13229, 13, 383, 5476, 88, 647, 3961, 8155, 428, 7372, 287, 7967, 9099, 544, 2351, 3250, 523, 326, 663, 25613, 714, 651, 284, 760, 1123, 584, 1365, 290, 284, 7073, 511, 1981, 4678, 13, 198, 198, 19927, 198, 198, 41506, 6117, 628, 18903, 82, 286, 327, 26377, 7507, 76, 620, 3919, 30621, 2264, 6532, 198, 198, 15783, 7080, 3919, 198, 42074, 1095, 287, 1482, 21768, 3418, 48114, 39, 461, 320, 9295, 72, 357, 6286, 513, 1737, 15589, 287, 9281, 12, 21306, 271, 11, 4881, 8, 318, 281, 26832, 666, 1966, 4708, 44185, 508, 2826, 355, 257, 19099, 13, 198, 198, 50, 32009, 2826, 329, 2039, 317, 4520, 390, 1962, 278, 696, 290, 10029, 3395, 89, 287, 406, 15212, 352, 13, 679, 2540, 465, 4708, 3451, 379, 2297, 2907, 10261, 11, 257, 3430, 287, 4881, 13, 679, 635, 2826, 329, 19674, 672, 293, 11, 7054, 50158, 11, 471, 3020, 4849, 282, 11, 1294, 347, 2852, 519, 710, 290, 471, 37048, 978, 3319, 4244, 13, 198, 198, 17784, 263, 7869, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 37781, 27244, 198, 36376, 661, 198, 8021, 41003, 4346, 22052, 198, 2348, 1362, 666, 4346, 364, 198, 2348, 1362, 544, 3230, 4346, 364, 198, 24111, 661, 286, 26832, 666, 18598, 198, 43, 15212, 352, 1938, 198, 43, 15212, 362, 1938, 198, 48, 9459, 10271, 4041, 1938, 198, 7738, 2907, 376, 13, 34, 13, 1938, 198, 4834, 317, 4520, 1962, 278, 696, 1938, 198, 4851, 3395, 89, 1938, 198, 38, 918, 672, 293, 7870, 4353, 1938, 198, 1921, 50158, 1938, 198, 2937, 347, 2852, 519, 710, 1938, 198, 52, 3020, 4849, 282, 6374, 1938, 198, 52, 37048, 4100, 66, 17914, 6342, 337, 25125, 1773, 2305, 1938, 198, 2348, 1362, 666, 1033, 26646, 689, 287, 18286, 198, 3109, 8071, 380, 378, 4346, 364, 287, 18286, 24206, 7361, 30370, 44311, 5326, 440, 12473, 11, 23641, 357, 1129, 2901, 1248, 6659, 784, 1367, 3267, 24977, 8, 373, 257, 11905, 12266, 14971, 13, 198, 198, 21756, 198, 1544, 373, 262, 1218, 3367, 286, 3700, 5326, 286, 47681, 11, 10274, 487, 10932, 11, 290, 220, 197, 198, 10684, 1437, 44311, 13, 679, 373, 15657, 379, 8092, 88, 344, 8581, 290, 23475, 2059, 13, 679, 373, 11343, 262, 440, 12473, 287, 30992, 13, 554, 37547, 339, 6405, 5921, 8207, 7802, 13, 679, 373, 257, 15110, 21586, 329, 10274, 487, 10932, 290, 373, 22062, 276, 287, 32471, 13, 198, 198, 49138, 3451, 198, 1544, 2722, 257, 869, 284, 262, 2318, 416, 12723, 338, 10849, 287, 31953, 13, 679, 373, 319, 262, 13684, 3085, 286, 262, 6714, 11099, 13, 554, 2159, 1810, 314, 339, 4983, 351, 262, 11646, 3334, 32358, 290, 373, 15052, 10657, 13, 679, 1568, 4983, 351, 262, 11553, 3085, 286, 262, 8111, 3701, 5221, 13, 198, 198, 35443, 3451, 198, 1544, 373, 262, 23993, 12266, 3615, 17521, 4540, 329, 262, 4479, 396, 5852, 286, 317, 2417, 5481, 456, 82, 287, 25859, 810, 262, 9572, 286, 257, 7179, 3615, 4540, 13351, 644, 561, 4306, 423, 587, 257, 4071, 4461, 329, 262, 20162, 26, 220, 198, 198, 1544, 5982, 8411, 355, 12266, 4904, 329, 27700, 2934, 641, 10695, 5694, 379, 257, 416, 12, 14300, 287, 3035, 30992, 13, 770, 373, 257, 12411, 4461, 329, 262, 5471, 20162, 1028, 257, 4479, 396, 4540, 4855, 416, 262, 15135, 5070, 26, 198, 198, 1544, 373, 24341, 302, 12, 28604, 379, 262, 1708, 2276, 3071, 26, 198, 198, 14291, 302, 12, 24592, 1022, 1081, 421, 342, 290, 22361, 4502, 11, 339, 373, 24341, 302, 12, 28604, 379, 262, 1306, 3071, 26, 198, 198, 1544, 4983, 355, 262, 11905, 12266, 40930, 422, 37272, 1906, 1129, 1731, 13, 1629, 262, 1708, 2276, 3071, 11, 257, 7179, 4540, 35018, 290, 6626, 262, 3098, 12, 38176, 396, 3015, 11, 543, 1575, 683, 465, 5852, 26, 198, 198, 1544, 15293, 284, 8414, 10274, 487, 10932, 329, 262, 31883, 1578, 7526, 2276, 3071, 13, 679, 24341, 302, 12, 70, 1328, 257, 5852, 262, 20162, 550, 2626, 287, 37547, 26, 198, 198, 818, 34625, 11, 1708, 262, 9978, 286, 262, 2351, 5070, 11, 339, 373, 4504, 555, 10365, 1335, 379, 262, 2276, 3071, 355, 257, 15525, 286, 262, 649, 3662, 13, 679, 373, 281, 24268, 15286, 5070, 40930, 422, 34625, 1906, 1129, 2624, 13, 1649, 262, 12266, 2151, 1364, 262, 2351, 5070, 339, 3767, 287, 262, 2597, 286, 11905, 12266, 40930, 422, 32471, 1906, 1129, 2682, 13, 554, 30704, 339, 373, 9772, 379, 10274, 487, 10932, 26, 198, 198, 1544, 750, 407, 1302, 329, 8540, 757, 13, 198, 198, 41506, 6117, 198, 198, 19927, 198, 198, 1507, 6659, 27244, 198, 1129, 2920, 7040, 198, 2348, 25402, 286, 262, 2059, 286, 23475, 198, 12156, 3935, 12060, 7809, 1187, 286, 10274, 487, 10932, 198, 47073, 3334, 32358, 3790, 198, 25095, 2337, 33399, 198, 19040, 680, 12266, 3615, 14952, 198, 8061, 15657, 379, 8092, 88, 344, 8581, 198, 41861, 3701, 5221, 3790, 198, 25341, 286, 262, 8411, 286, 262, 1578, 7526, 329, 11905, 43742, 198, 34059, 286, 262, 8284, 286, 262, 3517, 8065, 198, 15039, 14952, 25859, 1906, 1129, 1828, 198, 15039, 14952, 36094, 1906, 1129, 1954, 198, 15039, 14952, 37272, 1906, 1129, 1731, 198, 15039, 14952, 31883, 1906, 1129, 3132, 198, 15039, 14952, 34625, 1906, 1129, 2327, 50, 15918, 14200, 1001, 7220, 357, 6286, 1596, 3035, 19322, 287, 11307, 8, 318, 257, 9880, 2679, 7500, 3849, 508, 16976, 287, 262, 7337, 18985, 13, 198, 198, 2953, 262, 10249, 314, 38540, 2159, 1423, 2675, 24782, 287, 1001, 4244, 1001, 7220, 4193, 1592, 262, 3869, 18279, 287, 281, 22639, 995, 1700, 640, 286, 513, 25, 1983, 13, 1828, 2431, 13, 2332, 13107, 547, 8595, 12769, 3059, 260, 2676, 11, 5506, 3087, 367, 7878, 5657, 400, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2962, 319, 3006, 884, 355, 9604, 11, 1866, 5748, 290, 4708, 2478, 13, 198, 464, 399, 6242, 51, 468, 838, 7652, 1626, 262, 1578, 1829, 290, 1123, 3814, 468, 663, 898, 16052, 13, 198, 11158, 11, 612, 389, 3272, 12, 44330, 2628, 1626, 262, 12684, 284, 1104, 2628, 884, 355, 3486, 24698, 7799, 11, 5535, 24698, 11042, 17496, 290, 262, 399, 6242, 51, 8436, 38679, 23161, 13, 198, 198, 36727, 6116, 198, 464, 399, 6242, 51, 468, 257, 1271, 286, 2292, 9473, 319, 3006, 884, 355, 262, 7811, 286, 922, 3783, 7743, 11, 13598, 287, 3783, 3707, 290, 257, 1271, 286, 6299, 319, 14458, 290, 3747, 326, 583, 3153, 284, 262, 7743, 286, 24698, 13, 198, 16678, 2292, 9473, 423, 407, 587, 1231, 10386, 13, 1114, 1672, 11, 287, 8735, 11, 262, 2292, 3348, 319, 6954, 5081, 326, 262, 1429, 373, 281, 366, 403, 16668, 16149, 11, 28671, 282, 1, 1429, 13, 2293, 9687, 422, 617, 13620, 11, 777, 734, 2456, 547, 4615, 13, 317, 1448, 286, 5519, 29811, 284, 262, 1445, 11, 475, 262, 2458, 6150, 13, 383, 749, 1459, 2643, 319, 6954, 416, 262, 399, 6242, 51, 373, 2233, 284, 307, 6153, 287, 2864, 13, 198, 198, 9218, 4568, 290, 4133, 198, 198, 18858, 723, 18612, 7712, 8785, 198, 464, 4495, 468, 3017, 10991, 416, 1994, 11636, 11, 25982, 11, 2214, 13229, 290, 2041, 2995, 884, 355, 3274, 5045, 263, 338, 2270, 69, 5773, 13, 198, 198, 32, 2017, 198, 32, 2017, 329, 7799, 1390, 3806, 5646, 24698, 32019, 11289, 11, 2059, 38094, 11289, 290, 4307, 46709, 4809, 11289, 543, 11, 287, 2864, 11, 373, 1813, 284, 3783, 1316, 26407, 11, 1717, 40633, 13, 198, 198, 464, 1605, 24698, 32019, 198, 1212, 3989, 318, 10398, 5193, 1661, 257, 614, 13, 632, 3407, 366, 4871, 3823, 3586, 290, 2695, 5992, 11, 2644, 685, 392, 60, 2267, 319, 4673, 11, 4145, 3501, 685, 896, 60, 1866, 281, 16615, 284, 7715, 511, 31950, 670, 526, 198, 1026, 373, 287, 428, 3989, 287, 15674, 326, 383, 375, 418, 3754, 30947, 23548, 49792, 2630, 262, 9546, 11, 366, 18465, 287, 24698, 27433, 24956, 18181, 287, 262, 4401, 286, 15815, 1600, 257, 3348, 543, 366, 49596, 703, 6954, 318, 262, 39774, 543, 6971, 290, 555, 6945, 262, 867, 7032, 1626, 17219, 1911, 198, 198, 6395, 4133, 198, 464, 399, 6242, 51, 635, 11073, 1321, 884, 355, 257, 3182, 12, 8424, 306, 13129, 351, 1459, 1705, 290, 13312, 1626, 262, 12684, 11, 15806, 4133, 290, 41496, 3835, 329, 262, 17219, 4701, 13, 198, 198, 8053, 286, 2351, 5396, 286, 24698, 32426, 19033, 198, 198, 19927, 198, 198, 41506, 6117, 198, 16186, 5396, 286, 24698, 32426, 3052, 198, 198, 33, 12371, 5745, 198, 6767, 3493, 15814, 1912, 287, 262, 1578, 1829, 198, 26121, 4582, 4920, 287, 28017, 198, 26959, 3707, 287, 262, 1578, 1829, 198, 1129, 2548, 33228, 287, 968, 1971, 2254, 198, 33380, 864, 5745, 1912, 287, 6025, 818, 19473, 11, 257, 406, 891, 1416, 3202, 89, 21613, 318, 257, 5103, 287, 37139, 291, 22939, 3177, 416, 22912, 406, 891, 1416, 3202, 89, 11, 973, 284, 39552, 262, 37139, 291, 1353, 1435, 286, 281, 37139, 291, 4996, 569, 13, 198, 198, 11828, 220, 198, 32, 21613, 318, 257, 1948, 1611, 286, 14174, 1080, 286, 2659, 271, 669, 319, 569, 11, 14811, 257, 530, 12, 17143, 2357, 1641, 11, 5772, 21879, 1417, 416, 262, 1628, 425, 1627, 13, 770, 1724, 326, 287, 262, 1339, 286, 257, 3716, 37139, 291, 4996, 569, 11, 257, 406, 891, 1416, 3202, 89, 21613, 318, 1223, 588, 257, 12900, 1358, 625, 262, 371, 26597, 1236, 16558, 26, 475, 351, 734, 24751, 546, 18032, 414, 13, 198, 198, 464, 717, 966, 2058, 510, 611, 356, 7048, 326, 569, 318, 1813, 355, 257, 1628, 425, 4996, 11, 290, 262, 2659, 271, 669, 319, 569, 389, 8718, 14382, 9004, 13, 39200, 1813, 8718, 22587, 367, 220, 290, 367, 17478, 11, 32557, 262, 21613, 851, 287, 584, 2456, 11, 367, 318, 1813, 416, 406, 796, 657, 290, 367, 17478, 416, 406, 17478, 28, 657, 329, 14174, 5107, 406, 290, 406, 17478, 11, 290, 262, 2276, 8718, 14382, 2665, 318, 569, 36177, 276, 351, 198, 198, 6423, 262, 16246, 449, 286, 367, 351, 367, 17478, 468, 14873, 320, 3004, 734, 13, 1318, 318, 257, 9377, 16855, 198, 198, 4758, 318, 287, 1109, 880, 12, 23211, 691, 2354, 262, 2173, 319, 262, 16246, 286, 449, 351, 569, 13, 1675, 787, 257, 880, 12, 23211, 16855, 11, 617, 19280, 510, 1276, 307, 5625, 284, 569, 13, 198, 198, 464, 1218, 966, 318, 326, 262, 26742, 743, 2405, 705, 13500, 877, 378, 6, 290, 12831, 18032, 2173, 357, 3003, 22108, 5362, 338, 443, 21672, 8991, 11, 262, 2276, 8718, 14382, 2665, 481, 307, 7209, 737, 317, 406, 891, 1416, 3202, 89, 21613, 47075, 262, 3450, 286, 262, 9477, 18032, 871, 11, 523, 326, 262, 1353, 1435, 743, 307, 34763, 416, 262, 49047, 6772, 2446, 13, 383, 12900, 411, 351, 18032, 871, 389, 2672, 284, 423, 257, 3748, 15094, 81, 1512, 18032, 414, 11, 691, 13, 198, 198, 1026, 468, 587, 3402, 326, 406, 891, 1416, 3202, 89, 21613, 82, 2152, 287, 16704, 6632, 13, 1119, 4174, 287, 2842, 2092, 284, 11, 475, 517, 8253, 621, 11, 44049, 5499, 319, 7209, 19871, 10119, 13, 632, 468, 635, 587, 3402, 326, 406, 891, 1416, 3202, 89, 21613, 82, 2152, 287, 16704, 279, 329, 262, 220, 25125, 1000, 1353, 1435, 13, 220, 198, 198, 35475, 3759, 1559, 468, 1043, 257, 2597, 329, 406, 891, 1416, 3202, 89, 21613, 82, 287, 10558, 42009, 1353, 1435, 11, 3756, 284, 517, 2274, 2267, 1393, 287, 606, 13, 198, 198, 6214, 635, 198, 198, 39507, 446, 1906, 43, 891, 1416, 3202, 89, 4583, 198, 198, 19927, 198, 198, 16130, 198, 198, 41506, 6117, 628, 220, 198, 198, 10082, 15748, 286, 2659, 271, 669, 33758, 377, 6, 41428, 84, 11, 635, 1900, 355, 262, 39476, 10489, 357, 257, 50120, 12, 2339, 7185, 10612, 318, 257, 13273, 3785, 286, 39476, 25871, 508, 5341, 262, 2597, 286, 366, 1169, 1049, 15876, 286, 262, 983, 1600, 290, 355, 884, 318, 6777, 24399, 287, 10988, 41302, 290, 25797, 13, 198, 198, 5376, 304, 43408, 198 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 396, 34537, 11, 6406, 12392, 290, 1786, 430, 332, 26, 7317, 3917, 351, 262, 1790, 12, 24489, 13538, 286, 1148, 312, 260, 6045, 297, 26, 3706, 706, 644, 9188, 531, 373, 511, 4004, 3124, 13, 198, 198, 23286, 4867, 198, 1544, 2540, 465, 3640, 287, 48889, 379, 262, 16319, 5708, 390, 8591, 18315, 313, 6592, 11, 475, 9658, 691, 257, 1790, 640, 878, 4305, 284, 3067, 351, 2460, 13, 679, 4444, 510, 287, 6342, 351, 6045, 297, 11, 810, 339, 2714, 257, 4388, 4478, 379, 366, 3123, 2409, 66, 390, 40808, 660, 4244, 1600, 257, 15604, 13378, 284, 1862, 7912, 13, 770, 9343, 683, 284, 7330, 3362, 11164, 392, 12, 49, 2731, 355, 281, 5797, 290, 15866, 3690, 2031, 290, 262, 1578, 1829, 13, 198, 198, 7003, 867, 286, 465, 6342, 666, 21641, 547, 287, 7897, 1575, 2178, 1585, 64, 3918, 11, 284, 5198, 284, 465, 4141, 7534, 11, 1141, 428, 640, 339, 1625, 739, 262, 4588, 286, 7152, 10840, 290, 1024, 22649, 13, 679, 635, 3767, 257, 14738, 351, 15085, 28372, 11, 4150, 339, 550, 1138, 287, 15142, 13, 554, 37166, 11, 15085, 28372, 13055, 257, 18560, 286, 262, 2746, 11, 837, 508, 561, 1568, 1716, 1680, 874, 6, 3656, 13, 383, 614, 878, 11, 1680, 874, 550, 13055, 366, 32, 8315, 379, 262, 8266, 15481, 1600, 543, 19152, 41227, 1073, 290, 15085, 28372, 338, 2003, 5212, 11, 26366, 68, 45674, 13, 198, 198, 1544, 4504, 284, 15142, 287, 41435, 13, 7683, 812, 1568, 11, 339, 373, 3706, 12787, 286, 262, 12036, 2665, 286, 262, 8308, 9393, 8112, 11, 366, 1911, 679, 6150, 257, 2888, 1566, 465, 1918, 13, 383, 4009, 47302, 287, 27653, 13, 5856, 428, 640, 11, 339, 925, 890, 14768, 287, 14708, 11, 1001, 4244, 290, 17113, 4763, 11, 12036, 257, 3094, 4996, 286, 7481, 11, 3584, 339, 318, 2592, 12086, 329, 465, 31725, 13, 198, 198, 3198, 286, 465, 938, 2499, 2950, 11705, 803, 262, 13387, 286, 262, 2254, 4281, 23204, 287, 15142, 13, 317, 1688, 1281, 17047, 516, 17127, 373, 2714, 379, 262, 4849, 64, 2547, 20954, 287, 26539, 13, 198, 198, 4653, 12609, 21641, 198, 198, 19927, 198, 198, 13518, 3555, 198, 33186, 2454, 31339, 292, 3175, 559, 11, 1680, 874, 11, 20386, 15462, 2199, 431, 11, 15408, 198, 198, 41506, 6117, 198, 198, 8001, 7934, 25, 3125, 2499, 416, 1680, 874, 13, 198, 198, 1507, 4304, 27244, 198, 1129, 3132, 7040, 198, 1129, 400, 12, 14792, 1786, 430, 690, 198, 1238, 400, 12, 14792, 1786, 430, 690, 198, 43584, 1786, 430, 690, 198, 1238, 400, 12, 14792, 31066, 2356, 1010, 198, 38490, 1010, 422, 15142, 198, 43584, 9855, 2234, 396, 2356, 1010, 198, 1238, 400, 12, 14792, 3601, 6620, 42885, 4861, 11294, 1015, 8466, 373, 262, 48129, 286, 6033, 18555, 31693, 417, 5733, 357, 1314, 3267, 19342, 784, 1596, 3426, 3648, 828, 257, 7897, 37986, 13, 198, 198, 1544, 1239, 973, 465, 1103, 1438, 284, 1051, 465, 2499, 11, 355, 465, 40358, 47387, 351, 326, 286, 1194, 37986, 11, 16852, 16364, 29690, 31693, 417, 5733, 13, 198, 198, 23286, 4867, 220, 198, 198, 42885, 4861, 11294, 1015, 8466, 2540, 465, 16716, 3451, 2402, 16727, 379, 2681, 262, 14189, 260, 16852, 11289, 284, 262, 1266, 42686, 5337, 351, 465, 670, 2574, 1333, 403, 6513, 685, 464, 15499, 60, 357, 19891, 828, 543, 373, 3940, 416, 46345, 4475, 685, 25681, 60, 357, 24465, 828, 791, 551, 5733, 1658, 8957, 12654, 349, 384, 424, 291, 3755, 551, 10123, 9621, 685, 32, 7897, 24603, 23463, 7341, 287, 10123, 9621, 60, 357, 21498, 828, 262, 21904, 5337, 2574, 3200, 78, 390, 39990, 277, 6386, 292, 685, 464, 3200, 286, 262, 4671, 60, 357, 21498, 8, 290, 262, 26298, 2574, 288, 29690, 1619, 370, 7240, 72, 685, 464, 1110, 286, 262, 370, 7240, 72, 4357, 7042, 416, 366, 28903, 474, 518, 70, 418, 11354, 420, 274, 1, 685, 464, 40831, 1830, 60, 357, 16942, 828, 366, 53, 1153, 78, 331, 8716, 292, 1, 685, 8731, 290, 42701, 60, 357, 16942, 8, 290, 366, 9527, 46205, 6086, 848, 418, 856, 1, 685, 464, 5340, 3303, 60, 357, 16088, 828, 257, 18560, 286, 15142, 287, 262, 938, 3860, 286, 262, 1160, 400, 4289, 11, 422, 262, 442, 28426, 44126, 286, 262, 2739, 22198, 812, 284, 262, 11514, 5776, 286, 9768, 290, 262, 3176, 28449, 286, 262, 6303, 82, 13, 554, 3648, 339, 1839, 262, 6929, 952, 21877, 282, 351, 262, 938, 5337, 339, 1683, 3199, 11, 6706, 8358, 264, 2634, 390, 22346, 410, 696, 72, 4951, 685, 2061, 314, 760, 286, 35299, 4357, 257, 6754, 15444, 296, 4716, 22765, 287, 1248, 400, 4289, 2031, 13, 632, 468, 587, 14251, 656, 1180, 8950, 13, 198, 198, 1544, 373, 262, 3159, 16002, 286, 262, 3807, 3738, 6557, 17034, 3755, 685, 13217, 283, 28914, 60, 357, 21908, 828, 262, 2646, 3437, 25995, 11256, 263, 4908, 338, 717, 670, 11, 290, 286, 262, 3195, 3807, 329, 262, 31066, 3195, 220, 198, 35, 947, 836, 274, 685, 7571, 1466, 60, 357, 21113, 11, 2039, 1173, 30938, 354, 737, 679, 635, 2630, 329, 262, 3601, 2056, 11, 304, 13, 70, 13, 329, 262, 7533, 2574, 11243, 41200, 11, 290, 329, 1766, 5, 7222, 6, 7093, 13, 198, 198, 1544, 3724, 319, 1596, 3426, 3648, 11, 379, 2479, 4153, 11, 422, 257, 2612, 1368, 11, 691, 22216, 1933, 706, 5442, 262, 6929, 952, 21877, 282, 13, 198, 198, 23044, 198, 464, 41337, 357, 19891, 18535, 282, 828, 14189, 260, 16852, 15895, 5337, 198, 25681, 357, 24465, 11, 1717, 47430, 274, 347, 8, 198, 32, 7897, 24603, 23463, 7341, 287, 10123, 9621, 357, 21498, 11, 1052, 6713, 8, 198, 464, 3200, 286, 25575, 357, 21498, 11, 1052, 11729, 8, 198, 2202, 262, 370, 7240, 72, 13, 383, 14800, 1830, 357, 16942, 11, 27328, 7079, 72, 8, 198, 2202, 262, 370, 7240, 72, 13, 3086, 290, 42701, 357, 16942, 11, 27328, 7079, 72, 8, 198, 2202, 262, 370, 7240, 72, 13, 383, 3303, 5340, 357, 16088, 11, 27328, 7079, 72, 8, 198, 2061, 314, 760, 286, 262, 569, 27933, 357, 11528, 11, 12744, 828, 21877, 282, 15895, 3648, 198, 198, 19927, 198, 198, 45192, 27244, 198, 11528, 7040, 198, 1238, 400, 12, 14792 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 464, 4429, 373, 4721, 319, 1315, 3389, 41435, 355, 636, 286, 262, 7552, 286, 1627, 642, 422, 21534, 563, 357, 2197, 35437, 347, 684, 6422, 298, 8, 284, 402, 533, 7043, 18687, 13, 383, 1627, 604, 9554, 547, 4721, 319, 2310, 3035, 40417, 355, 636, 286, 262, 717, 2665, 286, 262, 1627, 422, 609, 22940, 660, 1616, 284, 4347, 68, 390, 1012, 570, 1192, 15666, 13, 383, 1627, 767, 9554, 547, 4721, 319, 642, 3389, 31953, 355, 636, 286, 262, 717, 2665, 286, 262, 1627, 422, 8670, 2634, 430, 284, 4347, 68, 390, 8591, 34037, 21348, 13, 26299, 642, 290, 767, 389, 10730, 11, 2491, 355, 1440, 8339, 351, 281, 7022, 3859, 351, 734, 1735, 9554, 13, 6910, 604, 4539, 739, 642, 290, 767, 45082, 22585, 13, 198, 198, 464, 4429, 13062, 262, 1438, 286, 402, 533, 390, 300, 6, 22362, 11, 262, 4429, 739, 543, 340, 318, 3170, 13, 6363, 1336, 1438, 318, 402, 533, 390, 300, 6, 22362, 12, 13414, 67, 403, 11, 3706, 706, 262, 8878, 390, 42270, 403, 6716, 13, 383, 1438, 42270, 403, 318, 287, 4088, 286, 2159, 1810, 314, 338, 5838, 286, 42270, 403, 284, 543, 4141, 5795, 547, 1908, 422, 262, 20515, 4429, 13, 198, 198, 4863, 2693, 4793, 284, 2795, 4343, 11, 402, 533, 390, 300, 6, 22362, 290, 663, 24536, 4429, 25289, 257, 1688, 36011, 5176, 284, 262, 402, 3565, 551, 285, 280, 303, 434, 290, 791, 285, 2634, 23528, 1343, 307, 559, 4493, 11, 284, 15550, 257, 517, 4950, 290, 3660, 4429, 262, 17370, 53, 10062, 1627, 13, 1550, 262, 9554, 286, 26299, 642, 290, 767, 11, 10912, 19867, 290, 4171, 7521, 2921, 835, 284, 4569, 2330, 19867, 13, 383, 7588, 547, 635, 6928, 11, 290, 262, 3452, 2746, 286, 8212, 88, 3918, 24800, 550, 587, 6589, 13, 9461, 11, 262, 6342, 500, 2099, 2550, 6928, 262, 6543, 660, 2099, 2550, 11, 6194, 2890, 262, 886, 286, 670, 319, 262, 3859, 13, 383, 649, 3210, 46924, 373, 6589, 3690, 262, 4429, 13, 198, 198, 10049, 3731, 2458, 5091, 319, 262, 9554, 286, 6910, 604, 13, 22596, 422, 262, 9014, 286, 262, 10912, 6543, 660, 19867, 379, 262, 5645, 286, 262, 9554, 290, 262, 10066, 286, 257, 7679, 286, 7521, 319, 262, 9694, 17763, 286, 262, 22563, 13, 198, 198, 818, 2864, 11, 340, 373, 262, 8150, 42745, 24536, 4429, 287, 262, 3127, 11, 351, 2310, 11, 45331, 11, 50049, 1510, 10405, 6427, 832, 262, 4512, 4429, 13, 198, 198, 14478, 6540, 2594, 198, 198, 15457, 198, 464, 4429, 468, 3624, 43818, 25, 198, 8798, 352, 25, 45363, 288, 6, 2348, 82, 558, 198, 8798, 362, 25, 311, 7792, 37, 402, 533, 390, 300, 6, 22362, 198, 8798, 513, 25, 8474, 7043, 1367, 12, 45, 659, 2022, 260, 12, 1129, 1507, 198, 8798, 604, 25, 45363, 7043, 18350, 549, 454, 70, 12, 48615, 12, 24778, 198, 8798, 642, 25, 45363, 7043, 807, 12, 44, 1872, 12, 41931, 198, 8798, 718, 25, 23889, 390, 47561, 24256, 198, 8798, 767, 25, 29689, 198, 8798, 807, 25, 23889, 2944, 29188, 198, 198, 12367, 12461, 198, 198, 16286, 290, 371, 1137, 8787, 198, 464, 4429, 318, 4983, 416, 26299, 3261, 11, 3933, 11, 3439, 11, 4353, 11, 5014, 11, 6337, 11, 7265, 11, 10495, 290, 262, 4946, 39152, 18473, 1627, 286, 262, 371, 1404, 47, 5869, 7311, 290, 11, 379, 1755, 11, 416, 26299, 399, 486, 11, 399, 2999, 11, 399, 1485, 11, 399, 1415, 11, 399, 3901, 11, 399, 3682, 11, 399, 3559, 11, 399, 2598, 11, 399, 2231, 11, 399, 15187, 11, 399, 23756, 11, 399, 23726, 11, 399, 21139, 11, 399, 18444, 290, 399, 18781, 286, 262, 32809, 35824, 3127, 13, 198, 198, 1722, 262, 1438, 5644, 11, 262, 24536, 4429, 318, 5884, 284, 262, 4512, 4429, 402, 533, 390, 6342, 12, 22362, 13, 383, 8739, 329, 24536, 6910, 767, 7603, 257, 4637, 351, 262, 371, 1137, 412, 379, 262, 402, 533, 390, 2944, 29188, 11, 3584, 340, 318, 3306, 284, 779, 262, 1171, 2975, 284, 3151, 340, 13, 770, 4637, 857, 407, 1656, 319, 262, 3352, 286, 26299, 604, 290, 642, 11, 257, 1277, 4637, 351, 262, 371, 1137, 412, 460, 307, 925, 379, 262, 6716, 402, 533, 7043, 18687, 13, 198, 198, 29352, 198, 198, 19927, 198, 198, 49, 23573, 11, 402, 42445, 446, 357, 16088, 737, 520, 602, 390, 285, 2634, 23528, 13, 360, 6, 4826, 65, 44667, 28141, 370, 6713, 13, 43052, 67, 1756, 7979, 3262, 261, 13, 198, 198, 40313, 43579, 23528, 8985, 287, 262, 838, 400, 5240, 623, 20782, 434, 286, 6342, 198, 44631, 1014, 8985, 287, 4881, 4721, 287, 40417, 24227, 1634, 357, 273, 4885, 5612, 828, 635, 3427, 5612, 393, 1609, 35182, 1634, 357, 6738, 262, 10775, 738, 828, 318, 257, 1429, 23482, 14515, 1282, 739, 393, 11206, 4885, 3968, 287, 3006, 884, 355, 2831, 11, 3037, 11, 3783, 11, 3707, 11, 4819, 11, 12446, 11, 12263, 11, 1099, 11, 19444, 11, 517, 82, 11, 17112, 11, 15421, 11, 3815, 11, 21332, 11, 23574, 11, 5496, 11, 9528, 11, 3303, 11, 3597, 1080, 11, 5737, 11, 290, 8876, 13, 5856, 48359, 340, 1690, 2950, 262, 4104, 286, 13624, 13, 198, 198, 24227, 1634, 468, 587, 257, 3957, 4588, 1973, 262, 995, 287, 262, 938, 1178, 10675, 11, 351, 617, 30504, 13148, 4885, 1634, 284, 307, 262, 7548, 286, 49400, 11, 257, 835, 286, 1807, 326, 318, 1690, 24594, 13, 383, 4045, 1429, 286, 4885, 1634, 318, 1690, 734, 12, 22339, 287, 326, 4885, 16717, 290, 5353, 2405, 389, 5399, 351, 3354, 286, 262, 5676, 3592, 11, 379, 5288, 11, 284, 1487, 3371, 257, 517, 4885, 1143, 3592, 11, 351, 262, 1234, 876, 3061, 286, 708, 1397, 257, 4885, 1204, 393, 617, 7612, 286, 340, 11, 981, 4885, 14515, 389, 2405, 5676, 416, 428, 1429, 290, 10375, 351, 1729, 12, 24227, 2628, 13, 198, 198, 24227, 1634, 20675, 663, 11135, 736, 284, 13406, 10315, 13, 11450, 11, 262, 7993, 8065, 561, 1011, 319, 262, 717, 1429, 286, 4885, 1634, 355, 340, 373, 7272, 12824, 416, 10315, 290, 2727, 257, 649, 3968, 1912, 319, 262, 7811, 290, 3815, 286, 262, 13406, 8312, 3592, 13, 383, 22482, 9349, 351, 257, 3968 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 4502, 26971, 4942, 10840, 5201, 1218, 286, 262, 3478, 19323, 11, 13125, 1115, 13620, 286, 257, 4129, 416, 607, 517, 39980, 798, 8245, 9830, 13, 554, 10213, 351, 262, 3173, 379, 262, 640, 11, 262, 11083, 550, 366, 32446, 1144, 284, 1592, 1, 351, 12449, 47196, 11, 290, 4942, 10840, 11, 508, 4120, 284, 307, 6007, 286, 5442, 262, 3234, 11, 373, 44828, 866, 287, 262, 9605, 9539, 11, 4145, 19366, 1780, 607, 2863, 286, 5373, 13, 4784, 284, 617, 3136, 4942, 10840, 373, 366, 26594, 329, 607, 1182, 1, 3690, 262, 3234, 290, 26971, 550, 284, 2834, 1327, 319, 262, 38265, 293, 284, 2948, 607, 422, 5442, 13, 198, 198, 2953, 262, 1306, 968, 10728, 3249, 319, 2310, 1737, 11, 4942, 10840, 373, 3888, 510, 287, 5253, 290, 14451, 1028, 4257, 5471, 287, 262, 968, 10728, 520, 1124, 625, 3478, 277, 6371, 28079, 329, 543, 339, 2067, 262, 718, 14, 16, 1218, 12507, 2157, 1004, 404, 727, 390, 38198, 338, 951, 83, 1004, 18687, 13, 1375, 373, 10911, 351, 21019, 364, 329, 262, 717, 640, 290, 706, 595, 48074, 262, 1085, 422, 262, 923, 673, 9658, 319, 7634, 284, 1592, 416, 257, 1790, 1182, 422, 4518, 3469, 351, 1004, 18687, 287, 2368, 13, 198, 198, 33560, 198, 2202, 718, 2795, 4942, 10840, 11, 351, 1757, 27555, 287, 262, 33083, 11, 373, 530, 286, 3598, 6070, 444, 284, 8414, 262, 13539, 400, 2491, 286, 262, 44781, 520, 1124, 625, 530, 290, 257, 2063, 4608, 379, 43427, 296, 12588, 17319, 13, 383, 6046, 3250, 23648, 8464, 5865, 273, 1437, 2067, 772, 1637, 12507, 4058, 286, 4942, 10840, 357, 3064, 14, 1270, 8, 290, 12449, 47196, 11, 981, 262, 691, 530, 286, 262, 584, 1440, 284, 307, 1813, 597, 2863, 373, 50210, 4496, 357, 3064, 14, 23, 737, 4942, 10840, 373, 31531, 3371, 262, 8286, 355, 12449, 47196, 900, 262, 1903, 8761, 11, 475, 925, 11831, 4371, 422, 2063, 835, 290, 3888, 656, 22627, 287, 262, 3892, 13, 1375, 1718, 262, 1085, 8218, 262, 2457, 277, 6371, 506, 290, 9772, 5865, 273, 1437, 284, 1592, 416, 1115, 13620, 286, 257, 4129, 351, 50210, 4496, 2263, 2368, 1295, 4058, 286, 12449, 47196, 13, 2332, 5442, 640, 286, 362, 25, 1821, 13, 23, 373, 257, 649, 1700, 329, 262, 3234, 13, 198, 198, 2953, 29224, 319, 860, 2901, 4942, 10840, 24163, 262, 4248, 23, 11, 4059, 9005, 286, 11769, 520, 1124, 625, 530, 10591, 290, 5201, 1218, 2157, 262, 4751, 1962, 500, 292, 8464, 10889, 5898, 13, 1550, 352, 2932, 673, 2900, 284, 477, 4048, 5449, 287, 262, 38742, 559, 520, 1124, 625, 530, 10591, 379, 4599, 3822, 12588, 17319, 290, 1839, 422, 2907, 290, 1024, 12423, 287, 257, 640, 286, 352, 25, 2920, 13, 21, 13, 198, 198, 16541, 4182, 198, 464, 12279, 400, 8313, 286, 262, 520, 1004, 1362, 11, 319, 838, 2693, 625, 29167, 290, 257, 2063, 277, 6371, 28079, 379, 2094, 17970, 12588, 17319, 12725, 257, 2214, 286, 17280, 290, 2497, 4942, 10840, 923, 379, 10402, 286, 838, 14, 16, 13, 1375, 550, 587, 530, 286, 262, 39489, 878, 607, 11824, 373, 19072, 416, 257, 4159, 5095, 12605, 287, 257, 3047, 7976, 404, 13, 679, 64, 2454, 11, 262, 8464, 286, 262, 350, 280, 293, 288, 6, 29508, 1872, 748, 350, 2852, 1299, 290, 23832, 7043, 449, 8337, 6289, 2067, 12507, 4058, 286, 311, 391, 6513, 259, 981, 262, 584, 39980, 798, 14260, 3017, 10889, 5898, 11, 7542, 338, 33511, 357, 464, 2864, 2679, 4946, 357, 14508, 1900, 355, 262, 2864, 2679, 37213, 24782, 8, 373, 257, 1450, 338, 20790, 7756, 2826, 319, 15162, 2266, 21558, 8028, 13, 632, 373, 262, 13539, 400, 8313, 286, 262, 2679, 4946, 37213, 24782, 290, 636, 286, 262, 39046, 2159, 9852, 5323, 2168, 286, 262, 2864, 39046, 2159, 9852, 13, 632, 1718, 1295, 379, 262, 1703, 18481, 831, 24738, 287, 32526, 11, 4486, 11, 422, 2901, 2242, 832, 2808, 11, 2864, 13, 198, 198, 40710, 290, 11596, 1637, 198, 198, 40710, 6082, 198, 198, 34487, 2736, 1637, 198, 198, 29974, 829, 1388, 3197, 49117, 198, 198, 50, 39642, 628, 352, 40284, 389, 355, 286, 1467, 2901, 2864, 13, 198, 198, 6395, 49117, 198, 464, 1708, 1938, 2722, 4295, 27761, 656, 262, 1388, 3197, 25, 198, 220, 4432, 666, 33996, 220, 220, 198, 220, 17421, 4024, 17958, 293, 6122, 220, 220, 198, 220, 11294, 525, 11667, 463, 220, 198, 198, 464, 1708, 2137, 2722, 5726, 355, 257, 2041, 13068, 25, 198, 220, 44485, 4689, 461, 1559, 268, 198, 198, 464, 1708, 1938, 2722, 5726, 422, 262, 18677, 3197, 25, 198, 220, 48127, 8590, 32520, 1077, 85, 2403, 198, 220, 5302, 89, 891, 509, 8325, 8836, 74, 198, 220, 7806, 11066, 333, 198, 220, 7231, 429, 259, 337, 448, 316, 198, 198, 464, 1708, 2137, 2722, 5726, 355, 257, 9670, 30256, 25, 198, 220, 536, 29601, 22489, 7058, 198, 198, 3152, 19334, 874, 220, 198, 8421, 262, 7756, 198, 220, 24600, 21553, 18594, 47297, 38325, 15168, 6928, 416, 220, 978, 6592, 129, 122, 15585, 1734, 198, 220, 15257, 350, 280, 8270, 15168, 6928, 416, 220, 40513, 40138, 449, 6532, 198, 220, 33728, 1001, 381, 72, 15168, 6928, 416, 220, 536, 29601, 22489, 7058, 198, 220, 28842, 418, 13146, 896, 541, 292, 15168, 6928, 416, 220, 2365, 12, 43, 1697, 446, 520, 30622, 198, 198, 7191, 262, 7756, 198, 220, 6219, 14345, 21108, 198, 198, 9781, 18883, 220, 198, 220, 978, 6592, 129, 122, 15585, 1734, 198, 198, 40287, 7689, 1388, 3197, 49117, 198, 198, 50, 39642, 198, 198, 16, 40284, 389, 355, 286, 1467, 2901, 2864, 13, 198, 198, 6395, 49117, 220, 198, 464, 1708, 14729, 2722, 4295, 27761, 656, 262, 21938, 1388, 3197, 25, 198, 220, 449, 25151, 5235, 5616, 9107, 1220, 220, 36401, 536, 26597, 198, 220, 9844, 4767, 89, 20601, 1008, 1220, 220, 5045, 350, 9116, 22877, 220, 198, 198, 464, 1708, 5166, 2722, 5726, 422, 262, 18677, 3197, 25, 198, 220, 5780, 509, 4528, 129, 122, 272, 1220, 220, 5302, 89, 891, 509, 8325, 8836, 74, 198, 198, 1925, 4350, 198, 198, 29974, 829, 220, 628, 220, 48127, 8590, 32520, 1077, 85, 2403, 825, 13, 220, 38083, 33996, 11, 718, 1906, 19, 11, 657, 1906, 21 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 11, 968, 1971, 2254, 11, 11307, 11, 11790, 11, 360, 9116, 82, 325, 335, 24263, 290, 220, 379, 262, 8860, 286, 32909, 1868, 6913, 6897, 287, 2039, 1416, 704, 68, 319, 1180, 27350, 34630, 4676, 338, 379, 362, 42, 290, 604, 42, 6323, 13, 383, 4843, 12, 10366, 952, 318, 220, 362, 13, 2670, 25, 16, 13483, 3372, 3008, 13, 198, 198, 38025, 7979, 40015, 2630, 546, 465, 6461, 287, 11983, 287, 262, 2646, 287, 281, 2708, 319, 569, 6456, 13, 785, 11946, 366, 2437, 2011, 6295, 290, 314, 47624, 3205, 287, 257, 13741, 7994, 13741, 526, 554, 262, 2708, 339, 8477, 262, 11334, 4395, 7269, 13, 198, 198, 818, 2864, 39143, 2098, 326, 1632, 1008, 24321, 27484, 11, 4058, 286, 24470, 7610, 338, 968, 1971, 10876, 19245, 379, 14432, 19170, 11, 9477, 262, 471, 13, 50, 13, 2489, 290, 547, 5410, 257, 13130, 32010, 2650, 13, 554, 3035, 13130, 262, 2646, 373, 32010, 2716, 287, 262, 1294, 290, 3340, 11, 3599, 351, 2922, 41377, 287, 968, 1971, 290, 5401, 5652, 13, 198, 198, 1890, 262, 1605, 2650, 262, 7621, 1627, 373, 3421, 422, 366, 2025, 17221, 35947, 32909, 1868, 18383, 1, 284, 366, 464, 9164, 27867, 286, 1583, 13, 6379, 1911, 198, 198, 464, 311, 7493, 265, 1347, 3337, 329, 262, 11536, 11, 5545, 262, 25701, 19245, 319, 3217, 11, 3267, 678, 11, 2864, 11, 290, 8096, 281, 319, 12, 15654, 32909, 1868, 18560, 8034, 287, 262, 10866, 13, 198, 198, 32, 21751, 5062, 373, 34491, 2716, 287, 2177, 284, 37319, 351, 262, 2650, 286, 262, 2646, 13, 22503, 416, 26777, 13067, 28313, 959, 11, 262, 21751, 3033, 257, 13516, 286, 12175, 7914, 290, 17771, 301, 1373, 10530, 5207, 13, 198, 198, 818, 262, 12671, 399, 5446, 7025, 262, 2646, 2884, 262, 10914, 1171, 22978, 1080, 13, 554, 262, 3482, 340, 373, 7025, 2884, 5274, 11536, 13, 198, 198, 41000, 16307, 198, 818, 663, 8159, 1499, 262, 12671, 262, 2646, 373, 4143, 1138, 351, 4688, 13463, 13, 36765, 5656, 29971, 74, 5250, 11, 22141, 86, 290, 2547, 970, 1123, 13178, 340, 604, 503, 286, 642, 5788, 13, 29971, 74, 5250, 2630, 25, 366, 33, 2373, 396, 925, 257, 2646, 588, 257, 23251, 23132, 5296, 26, 257, 9623, 17547, 284, 281, 23260, 278, 7090, 526, 10914, 1912, 13741, 15178, 11175, 1444, 340, 366, 3198, 286, 262, 749, 21994, 11648, 7328, 284, 423, 587, 925, 287, 16070, 526, 198, 198, 23792, 663, 1294, 32010, 2650, 11, 262, 2646, 7317, 9086, 617, 9188, 13, 383, 968, 1971, 3782, 11, 383, 8502, 25869, 290, 262, 5401, 5652, 3782, 16555, 262, 28303, 550, 19189, 257, 517, 35227, 3164, 13, 3819, 2056, 12527, 884, 355, 33639, 13, 785, 11, 18024, 385, 6, 2159, 15875, 20871, 11, 13741, 39138, 290, 14144, 319, 13741, 547, 1290, 517, 12598, 286, 262, 2646, 11, 33557, 262, 23689, 11, 13483, 45501, 290, 1242, 4592, 286, 49291, 13, 220, 198, 39750, 25238, 220, 13178, 340, 860, 503, 286, 838, 7447, 2105, 17159, 318, 257, 2626, 38525, 1605, 10574, 10997, 2646, 7924, 416, 7516, 367, 1127, 290, 20495, 15470, 367, 1127, 11, 5335, 8403, 290, 3977, 12822, 22874, 13, 198, 198, 19248, 198, 15470, 367, 1127, 355, 15470, 33925, 220, 198, 5335, 8403, 355, 30236, 8121, 220, 198, 3977, 12822, 22874, 355, 5278, 3125, 1044, 220, 198, 22132, 19113, 9860, 355, 35136, 9659, 220, 198, 35646, 3719, 2771, 355, 9005, 44312, 7491, 322, 896, 2584, 220, 198, 6035, 14737, 355, 4995, 220, 198, 5741, 1355, 1130, 82, 355, 15718, 440, 6, 20118, 198, 198, 19927, 198, 198, 33, 45689, 198, 33324, 268, 11, 23632, 2635, 13, 383, 1605, 13741, 5136, 44515, 286, 20843, 20051, 21522, 771, 287, 262, 1578, 1829, 11, 2142, 352, 13, 2059, 286, 3442, 4332, 11, 8309, 13, 198, 198, 41506, 6117, 198, 198, 1129, 2075, 7328, 198, 7437, 7328, 198, 7437, 10997, 7328, 198, 31042, 1605, 7328, 198, 11928, 907, 7924, 416, 7516, 367, 1127, 198, 7437, 10574, 3895, 7328, 198, 15823, 12, 16129, 7328, 198, 5962, 2351, 20051, 7328, 198, 7437, 2042, 12, 392, 12, 11186, 7328, 198, 1129, 2075, 10997, 7328, 33, 776, 5274, 1370, 318, 257, 18620, 8025, 326, 1527, 3669, 5009, 286, 262, 9566, 1748, 286, 24967, 287, 4492, 13, 632, 318, 5257, 416, 383, 2351, 9870, 13, 198, 198, 43401, 198, 464, 8025, 318, 5140, 319, 1029, 2323, 284, 262, 7627, 286, 262, 1748, 7372, 286, 24967, 11, 257, 2159, 18518, 14413, 11, 5086, 3748, 5009, 286, 262, 1748, 290, 663, 6832, 13, 632, 318, 220, 287, 4129, 13, 383, 6339, 8318, 832, 393, 1474, 6409, 41532, 1390, 24967, 16239, 3327, 11, 24967, 23427, 5588, 11, 14481, 3250, 6379, 6794, 11652, 11, 15868, 5135, 1471, 30215, 11, 10452, 49325, 35637, 11, 24967, 23427, 16483, 290, 27957, 11312, 13, 383, 7931, 7129, 6285, 319, 7703, 4294, 82, 10711, 3327, 318, 635, 7424, 422, 262, 6339, 13, 2142, 286, 262, 8025, 468, 587, 16573, 287, 1502, 284, 307, 9857, 284, 7825, 49655, 13, 198, 198, 47522, 2410, 198, 464, 6339, 318, 5257, 11, 351, 16418, 3212, 290, 7150, 2005, 284, 4155, 484, 466, 407, 1716, 625, 22377, 13, 1318, 389, 17455, 11114, 11, 8222, 4266, 290, 21819, 2995, 13, 1318, 318, 257, 1751, 338, 711, 1989, 900, 287, 262, 16479, 379, 1012, 8770, 1122, 5588, 13, 24967, 5274, 1370, 3250, 5143, 2753, 1295, 319, 262, 6339, 11, 3599, 1474, 14481, 3250, 6379, 6794, 11652, 13, 198, 198, 19927, 198, 198, 14617, 12, 30246, 2366, 6978, 82, 287, 4492, 198, 33, 776, 11, 46123, 198, 16186, 9870, 6608, 287, 46123, 198, 17574, 6978, 82, 287, 46123, 1273, 1219, 1754, 318, 257, 40358, 13, 1892, 540, 661, 351, 262, 40358, 2291, 25, 198, 198, 1544, 1032, 520, 1219, 1754, 357, 33581, 1906, 11528, 828, 1605, 2746, 198, 41, 30570, 70, 520, 1219, 1754, 357, 6286, 24977, 828, 14780, 44185, 198, 198, 6214, 635, 198, 1273, 49252, 11, 257, 2092, 40358, 198, 1273, 313, 1754, 464, 2864, 5147, 21944, 273, 8342, 7517, 4946, 373, 257, 4708, 12759, 3013, 566, 263, 7756, 326, 1718, 1295, 1022, 1105, 290, 1248, 3389, 2864, 287, 262, 5638, 8534, 4789, 287, 29713, 11, 8342, 7517, 13, 632, 373, 262, 16974, 12759, 1785, 286, 262, 2864, 14, 23344 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 881, 517, 4577, 290, 11282, 13, 383, 5253, 422, 50161, 2271, 284, 262, 3139, 1748, 286, 5694, 29357, 707, 46551, 11, 3175, 84, 11, 318, 3177, 1290, 1497, 780, 2130, 468, 284, 3067, 625, 1044, 546, 3478, 2250, 284, 3151, 50161, 2271, 422, 3175, 84, 13, 198, 198, 24553, 20157, 329, 262, 5103, 286, 262, 9003, 2540, 287, 4793, 351, 257, 1988, 286, 371, 79, 13, 9508, 37085, 832, 262, 1675, 7639, 791, 64, 12, 52, 2616, 3310, 1387, 15994, 15401, 287, 262, 2278, 286, 4793, 1906, 4967, 13, 383, 3518, 5103, 286, 262, 9003, 2540, 287, 3050, 11, 351, 262, 1388, 2962, 852, 262, 9003, 23443, 13, 198, 198, 818, 4343, 11, 788, 12, 9452, 1694, 286, 15198, 449, 385, 805, 1632, 1878, 4178, 19307, 321, 282, 4884, 257, 4139, 286, 15198, 26472, 543, 3066, 284, 1487, 262, 4067, 286, 17530, 11818, 73, 2150, 5949, 72, 220, 22600, 13, 383, 2656, 4067, 373, 3498, 7258, 14812, 11, 50161, 2271, 2254, 3834, 17080, 2012, 11, 475, 373, 19994, 780, 286, 2761, 351, 1956, 12673, 2761, 13, 9461, 11, 706, 1016, 832, 257, 2423, 11, 262, 4067, 286, 262, 649, 9003, 373, 5295, 11, 14811, 287, 350, 385, 2150, 72, 14812, 11, 50161, 2271, 309, 14471, 5665, 13, 198, 198, 4967, 12, 25579, 220, 198, 818, 1946, 11, 15198, 4139, 16583, 292, 3754, 5966, 272, 14243, 49293, 1160, 14090, 290, 838, 22600, 284, 2252, 1280, 987, 12, 271, 1044, 19843, 4104, 3690, 16256, 11, 530, 286, 262, 838, 22600, 14243, 49293, 373, 11818, 73, 2150, 5949, 72, 12690, 13, 5966, 272, 531, 326, 262, 3478, 22600, 4691, 29570, 13956, 351, 262, 5339, 284, 307, 11406, 416, 5161, 49, 7724, 290, 327, 408, 2616, 27121, 1879, 12421, 6215, 13, 5966, 272, 2087, 326, 262, 2104, 2723, 286, 4918, 1625, 422, 262, 1230, 290, 7915, 4466, 13, 198, 198, 464, 11849, 12094, 11, 543, 318, 3562, 588, 12674, 78, 11, 257, 6512, 326, 318, 8811, 1043, 287, 1675, 7639, 791, 64, 12, 52, 2616, 11, 468, 281, 1989, 286, 352, 11, 830, 285, 17, 290, 468, 587, 3170, 1201, 1946, 13, 20395, 286, 262, 2368, 3800, 286, 38118, 290, 7552, 286, 262, 23443, 481, 2221, 416, 1903, 1853, 13, 198, 198, 464, 23443, 543, 3058, 468, 257, 4129, 286, 352, 11, 25764, 10700, 481, 307, 2087, 939, 10700, 523, 326, 340, 460, 15550, 262, 4025, 2546, 286, 262, 6215, 13, 554, 3090, 11, 262, 9647, 286, 262, 23443, 481, 307, 2087, 1315, 10700, 284, 4153, 10700, 422, 262, 1944, 1542, 10700, 13, 198, 198, 32, 1901, 1127, 290, 23982, 198, 198, 19927, 198, 198, 16170, 3742, 287, 5694, 29357, 707, 46551, 464, 32811, 1578, 1829, 4787, 3071, 287, 9406, 1718, 1295, 319, 3389, 767, 11, 32811, 11, 355, 636, 286, 262, 32811, 1578, 1829, 4787, 3071, 543, 373, 2714, 3690, 477, 11811, 4764, 2585, 13, 35689, 7690, 1511, 10826, 11, 393, 39259, 284, 262, 27557, 5535, 11, 508, 7052, 329, 1893, 290, 7927, 1893, 13, 198, 198, 45186, 373, 1839, 416, 3415, 10429, 11, 471, 13, 50, 13, 5617, 3078, 4796, 7516, 13922, 19712, 286, 968, 1971, 11, 290, 465, 2491, 16133, 8962, 7516, 370, 13, 7011, 43558, 286, 10278, 13, 1119, 9772, 4390, 26456, 11, 23526, 4390, 1992, 5326, 808, 8127, 290, 11079, 1992, 5658, 371, 13, 13606, 13, 198, 198, 48098, 956, 1839, 262, 1181, 416, 257, 10330, 286, 1367, 13, 2623, 7225, 198, 198, 3152, 7175, 13, 1495, 4, 286, 262, 3015, 11, 9406, 561, 5879, 284, 307, 19712, 6, 5544, 12841, 1181, 287, 2846, 286, 2968, 5690, 5873, 706, 16033, 11, 968, 8221, 290, 9589, 13, 198, 198, 25468, 198, 198, 25468, 416, 7968, 198, 198, 6214, 635, 198, 1578, 1829, 4787, 7024, 287, 9406, 198, 198, 19927, 198, 198, 45186, 198, 1129, 1433, 198, 1129, 1433, 9406, 7024, 2601, 3885, 16115, 24497, 7753, 357, 6286, 1478, 3269, 8309, 8, 318, 257, 34344, 4708, 44185, 508, 5341, 355, 257, 13191, 329, 6723, 52, 2165, 578, 21116, 3970, 5045, 72, 132, 247, 78, 3301, 13, 198, 198, 29478, 4662, 198, 39, 2224, 77, 38863, 198, 34, 929, 64, 3570, 22940, 11952, 72, 25, 21529, 12, 929, 2177, 1906, 1507, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 220, 198, 36303, 16115, 24497, 7753, 379, 300, 79, 69, 13, 305, 198, 198, 21498, 27244, 198, 36376, 661, 198, 8061, 422, 48257, 42008, 198, 32454, 666, 4346, 364, 198, 8021, 41003, 4346, 16355, 198, 43, 13827, 314, 1938, 198, 43, 13827, 2873, 1938, 198, 4851, 25028, 77, 38863, 1938, 198, 4851, 9718, 132, 247, 709, 357, 1129, 2623, 8, 1938, 198, 7902, 337, 1437, 333, 8999, 544, 36989, 357, 15914, 8, 1938, 198, 5432, 52, 2165, 578, 21116, 3970, 5045, 72, 132, 247, 78, 3301, 1938, 38, 2899, 615, 609, 3885, 71, 560, 357, 6286, 767, 1737, 10249, 828, 1900, 28049, 355, 20671, 38749, 7285, 11, 318, 281, 3942, 7444, 8806, 1912, 287, 262, 29367, 13, 609, 3885, 71, 560, 318, 12411, 329, 9194, 7444, 5861, 9305, 3037, 287, 43443, 13, 1081, 286, 2805, 33448, 11, 262, 705, 38, 2899, 615, 609, 3885, 71, 560, 3256, 20671, 38749, 7285, 6, 290, 705, 35990, 6006, 33002, 6, 9619, 5929, 423, 43802, 625, 2608, 13, 17, 1510, 18327, 290, 362, 13, 23, 2997, 5009, 319, 262, 3859, 13, 679, 468, 587, 8096, 287, 22720, 3794, 338, 1542, 739, 1542, 1351, 13, 198, 198, 20457, 1204, 220, 198, 1925, 3885, 71, 560, 373, 4642, 287, 22028, 647, 11, 13308, 292, 14813, 319, 767, 1737, 10249, 13, 679, 9713, 379, 257, 19274, 380, 3972, 569, 19325, 282, 11729, 3961, 13, 554, 2321, 11, 339, 3888, 284, 24520, 284, 10660, 257, 4922, 287, 4580, 9509, 20844, 379, 347, 29722, 12693, 3216, 11, 24520, 25005, 13, 198, 198, 17784, 263, 220, 198, 1925, 3885, 71, 560, 5611, 465, 7444, 6518, 20671, 38749, 7285, 287, 3267, 1853, 11, 7525, 10754, 5608, 290, 1720, 8088, 13, 554, 2177, 11, 609, 3885, 71, 560, 2727, 257, 1218, 6518, 11, 402, 2899, 615, 609, 3885, 71, 560, 7256, 284, 9194, 2695, 546, 465, 2614, 1204, 13, 198, 198, 818, 2693, 2864, 11, 20671, 38749, 7285, 373, 10307, 355, 262, 860, 400, 749, 45794, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 837, 673, 318, 588, 345, 764, 64, 11710, 286, 1692, 290, 3222, 764, 10148, 372, 1767, 11192, 276, 379, 465, 2456, 764, 15506, 356, 466, 299, 470, 760, 611, 1312, 466, 423, 3222, 2910, 764, 1662, 1865, 764, 10148, 301, 28391, 9713, 607, 14580, 287, 262, 5405, 764, 15506, 345, 389, 1223, 517, 621, 1692, 764, 10148, 15506, 3863, 764, 10148, 82, 26426, 607, 33506, 284, 2074, 262, 5885, 286, 3222, 2910, 837, 339, 3538, 2900, 262, 5273, 764, 15506, 611, 345, 561, 588, 837, 1312, 460, 1265, 427, 323, 284, 3187, 523, 345, 460, 2740, 351, 607, 764, 10148, 7091, 2900, 351, 257, 11040, 5408, 764, 15506, 1864, 284, 443, 16809, 837, 673, 318, 407, 845, 3772, 351, 345, 764, 10148, 258, 18288, 2286, 764, 15506, 356, 423, 257, 2644, 2408, 1613, 764, 392, 673, 705, 82, 7954, 326, 1312, 423, 2077, 345, 355, 616, 8319, 764, 10148, 15506, 8319, 5633, 10148, 15506, 17234, 837, 611, 345, 4702, 764, 10148, 15506, 1312, 588, 607, 1541, 764, 10148, 301, 28391, 25891, 16555, 339, 550, 407, 5220, 326, 427, 323, 3187, 764, 27455, 948, 373, 1541, 5295, 284, 1745, 683, 379, 257, 12270, 540, 5253, 764, 27078, 427, 323, 4602, 465, 1613, 428, 2415, 561, 2074, 683, 2147, 1342, 621, 257, 9234, 764, 15506, 3737, 356, 815, 4043, 329, 607, 3187, 1566, 2644, 10148, 8944, 87, 705, 82, 2456, 1625, 284, 257, 17369, 355, 339, 23831, 1969, 284, 262, 12133, 286, 607, 7393, 764, 1169, 21212, 373, 18107, 837, 475, 40016, 29033, 764, 22474, 18829, 764, 6381, 6667, 2086, 373, 3940, 7173, 416, 257, 4692, 8303, 286, 8993, 764, 259, 262, 1613, 1711, 288, 283, 948, 550, 587, 287, 262, 1664, 286, 24143, 265, 382, 764, 1169, 31030, 550, 1682, 17273, 262, 15163, 11333, 284, 30419, 465, 1363, 290, 7599, 5228, 288, 283, 948, 981, 673, 373, 3436, 764, 10197, 4785, 837, 428, 2415, 550, 14593, 18176, 262, 8791, 764, 3919, 4240, 673, 550, 3947, 22943, 764, 18108, 24143, 265, 382, 8556, 607, 611, 673, 4602, 465, 23077, 29723, 19696, 5633, 273, 550, 262, 547, 5257, 284, 11508, 607, 326, 339, 373, 23585, 5633, 22474, 484, 772, 783, 29353, 607, 6654, 5633, 15506, 8944, 87, 5633, 10148, 5305, 2890, 326, 288, 283, 948, 373, 16143, 379, 683, 351, 257, 3957, 15123, 837, 8944, 87, 44828, 465, 12097, 290, 772, 5257, 257, 18107, 8212, 764, 258, 550, 691, 1900, 428, 2415, 257, 1790, 640, 837, 475, 340, 373, 1576, 284, 11508, 683, 326, 339, 714, 1239, 2700, 607, 284, 22127, 607, 13141, 764, 1662, 1231, 12600, 278, 284, 23952, 15910, 764, 18927, 339, 373, 31414, 18416, 284, 466, 4556, 477, 2073, 4054, 837, 286, 1781, 764, 15506, 318, 1223, 262, 2300, 5633, 10148, 7091, 12284, 764, 15506, 644, 714, 5457, 307, 262, 2300, 5633, 10148, 7091, 32198, 379, 465, 5381, 8216, 837, 475, 597, 2882, 673, 1244, 423, 925, 373, 19072, 618, 262, 3420, 284, 262, 4055, 2870, 373, 22066, 306, 8754, 1280, 290, 257, 1036, 14739, 443, 16809, 32221, 276, 656, 262, 2119, 764, 15506, 5360, 260, 7245, 84, 837, 466, 345, 892, 345, 714, 423, 5457, 7147, 257, 517, 22444, 1755, 284, 3758, 502, 458, 5088, 278, 1088, 262, 1748, 355, 611, 1312, 716, 257, 2353, 30527, 5633, 10148, 258, 2921, 257, 13279, 286, 465, 12098, 837, 7216, 6729, 7348, 832, 262, 2119, 764, 15506, 3737, 9439, 1755, 345, 561, 588, 502, 284, 1382, 345, 257, 6729, 805, 290, 9280, 1088, 340, 12105, 764, 10148, 8117, 373, 257, 39283, 6487, 422, 288, 283, 948, 837, 290, 351, 281, 3626, 8944, 87, 4137, 736, 262, 14960, 284, 12153, 262, 39930, 3222, 832, 262, 16936, 4324, 764, 292, 15774, 355, 339, 1043, 262, 44671, 19802, 837, 339, 714, 299, 470, 10129, 465, 10576, 373, 2818, 764, 8727, 1365, 284, 11786, 288, 283, 948, 764, 15506, 1312, 460, 11512, 19832, 345, 837, 443, 16809, 837, 326, 1312, 2236, 1239, 2581, 326, 345, 9280, 1088, 12105, 12, 259, 262, 6729, 393, 407, 837, 10148, 339, 3197, 992, 355, 339, 1718, 257, 2239, 1497, 422, 288, 283, 948, 764, 15506, 475, 345, 460, 1394, 616, 8319, 34988, 329, 502, 764, 72, 3252, 1312, 423, 12273, 1597, 326, 1312, 460, 1234, 572, 645, 2392, 764, 10148, 258, 2921, 257, 1402, 9563, 3812, 262, 36249, 288, 283, 948, 878, 12538, 262, 4055, 2870, 290, 29612, 832, 262, 1280, 3420, 764, 258, 2936, 607, 17841, 1708, 683, 837, 475, 339, 9514, 607, 23300, 10802, 355, 339, 10764, 656, 262, 23959, 290, 6268, 276, 329, 262, 33627, 37735, 764, 2934, 46525, 18859, 422, 262, 16187, 290, 4438, 257, 1402, 9563, 764, 15506, 4958, 5633, 10148, 15506, 1312, 765, 345, 284, 1394, 4860, 319, 674, 8319, 764, 10148, 15506, 3729, 764, 10148, 15506, 290, 1560, 264, 17096, 3839, 284, 2620, 262, 1908, 1678, 2402, 262, 9384, 764, 10148, 1169, 14005, 1986, 3016, 7104, 11061, 262, 269, 4883, 286, 262, 33192, 4602, 262, 18107, 395, 9254, 286, 5975, 764, 15506, 345, 3252, 356, 743, 307, 7384, 5633, 10148, 15506, 1312, 466, 299, 470, 1865, 760, 644, 262, 356, 411, 1410, 764, 10148, 14363, 1986, 33034, 351, 262, 8993, 326, 991, 985, 76, 1068, 2769, 1626, 683, 764, 15506, 475, 1312, 19832, 345, 326, 1312, 14765, 284, 1064, 503, 764, 28446, 788, 837, 466, 407, 1249, 288, 283, 948, 503, 286, 534, 6504, 764, 10148, 9, 1635, 1635, 288, 283, 948, 6204, 22002, 278, 287, 262, 6591, 1505, 706, 262, 7331, 837, 22900, 23952, 550, 25891, 1364, 262, 2119, 764, 7091, 550, 1239, 17273, 262, 2694, 284, 1100, 9017, 764, 392, 3729, 673, 373, 645, 23952, 5887, 764, 4360, 673, 550, 890, 2084, 4499, 284, 2050, 262, 1767, 3303, 286, 1854, 837, 290, 673, 714, 299, 470, 10129, 612, 550, 587, 281, 7954, 12097, 287, 607, 3144, 273, 764, 15506, 750, 1312, 9913, 2507, 379, 281, 37513, 2589, 5633, 10148, 15506, 644, 5633, 10148, 15344, 278, 607, 1182, 837, 288, 283, 948, 6939, 326, 262, 44671, 19802, 550, 3888, 284, 1302, 379, 607, 1735, 764, 15506, 11752, 2644, 645, 837, 407, 379, 477, 764, 10148, 258, 12606, 465, 5101, 625, 465, 7721, 764, 15506, 611, 345, 4601, 284, 1061, 683, 837, 788, 1312, 481, 407, 2000 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1943, 18064, 351, 5365, 3595, 8088, 351, 530, 8512, 366, 4863, 16330, 8862, 284, 3095, 12, 6042, 4902, 1911, 198, 198, 24802, 13487, 198, 3237, 7259, 3194, 416, 3362, 12723, 2845, 810, 4367, 13, 198, 1, 20490, 15957, 1, 357, 12041, 12723, 11, 2409, 5034, 15812, 8, 532, 362, 25, 3510, 198, 1, 48979, 1, 532, 604, 25, 3312, 198, 1, 5703, 2141, 632, 1, 532, 604, 25, 1507, 198, 1, 18565, 5660, 8272, 1, 532, 604, 25, 486, 198, 1, 18565, 35337, 17175, 8228, 1, 532, 513, 25, 1120, 198, 1, 1026, 338, 25536, 2185, 1, 532, 604, 25, 3132, 198, 18109, 5812, 1400, 8, 1867, 921, 402, 6415, 2141, 1, 532, 513, 25, 1157, 198, 1, 34, 5918, 1, 532, 604, 25, 2548, 198, 1, 39699, 14453, 12579, 1, 532, 362, 25, 3365, 198, 1, 18565, 5896, 5896, 1, 532, 362, 25, 2598, 198, 1, 2348, 425, 1, 532, 604, 25, 2481, 198, 198, 15439, 4954, 198, 36, 1860, 494, 290, 262, 6964, 6882, 82, 198, 10374, 5034, 15812, 532, 25355, 198, 12041, 12723, 532, 12702, 11, 12285, 25355, 198, 19206, 40513, 532, 24730, 11, 12285, 25355, 198, 44, 624, 15372, 532, 10047, 11, 12285, 25355, 198, 198, 19927, 220, 198, 198, 22288, 16788, 198, 36, 1860, 494, 290, 262, 6964, 6882, 82, 16788, 35, 291, 1313, 273, 71, 1437, 12314, 504, 220, 318, 257, 4693, 286, 45489, 286, 262, 1641, 12089, 397, 3609, 31718, 290, 850, 17989, 327, 316, 14651, 1437, 68, 13, 632, 318, 6868, 284, 262, 5510, 14673, 873, 13, 198, 198, 11828, 198, 35, 291, 1313, 273, 71, 1437, 12314, 504, 318, 262, 4387, 286, 663, 34306, 13, 632, 12229, 546, 220, 287, 4129, 287, 262, 10835, 11, 981, 262, 12366, 389, 4622, 4833, 11, 8978, 220, 546, 220, 287, 4129, 13, 5334, 4096, 3124, 318, 27306, 4077, 351, 257, 10861, 393, 698, 32091, 17979, 13, 383, 10835, 423, 257, 366, 51, 26793, 16760, 11, 6228, 12718, 287, 262, 22645, 13, 198, 198, 464, 12366, 3830, 511, 9653, 287, 262, 32305, 13, 2293, 546, 734, 2745, 262, 37346, 1656, 11, 326, 761, 546, 1936, 1933, 284, 1205, 11, 981, 262, 2478, 286, 262, 442, 19753, 282, 2340, 2753, 546, 362, 1933, 13, 1081, 262, 4044, 46716, 460, 2107, 6702, 1115, 1933, 11, 262, 1336, 1204, 6772, 481, 1011, 546, 3478, 1933, 13, 2312, 46716, 389, 4075, 287, 262, 32899, 290, 3745, 319, 299, 44504, 290, 625, 380, 431, 8234, 13, 198, 198, 20344, 3890, 198, 4711, 46716, 389, 8384, 1944, 287, 262, 4390, 2066, 286, 262, 25935, 11, 44568, 11, 290, 30872, 13, 198, 198, 19927, 198, 220, 38637, 571, 198, 15217, 26124, 198, 198, 41506, 6117, 198, 220, 9434, 286, 360, 291, 1313, 273, 71, 1437, 12314, 504, 198, 220, 402, 43009, 385, 198, 220, 39040, 34637, 198, 220, 360, 291, 1313, 273, 71, 1437, 12314, 504, 198, 198, 34, 316, 14651, 1437, 68, 198, 3856, 316, 829, 3417, 287, 1596, 4790, 198, 27017, 64, 3706, 416, 21295, 1583, 1601, 51, 5528, 11471, 70, 295, 34963, 333, 388, 318, 257, 4693, 286, 5916, 287, 262, 1641, 18383, 11471, 12397, 31718, 11, 262, 1115, 15643, 698, 1697, 444, 13, 632, 318, 10095, 287, 262, 19517, 6896, 11, 810, 340, 8833, 1088, 262, 8528, 451, 291, 12010, 290, 572, 262, 48598, 286, 8372, 46997, 43168, 11, 36498, 11, 33972, 11, 2692, 11, 16849, 11, 10315, 11, 27885, 11, 290, 8372, 7137, 13, 632, 318, 257, 16050, 13284, 1773, 605, 1357, 364, 282, 5916, 15964, 510, 284, 220, 287, 4129, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 198, 17694, 272, 333, 388, 198, 39428, 286, 2031, 198, 39428, 286, 5478, 198, 39428, 286, 4885, 7229, 198, 39428, 286, 262, 19517, 6896, 198, 39428, 3417, 287, 35745, 464, 27987, 1906, 8141, 37, 4346, 711, 12, 2364, 329, 262, 2321, 10216, 14935, 373, 257, 4346, 2872, 1022, 262, 5544, 4624, 1074, 422, 262, 7740, 9957, 47186, 357, 32, 4851, 8, 290, 262, 5544, 4624, 1074, 422, 262, 47186, 286, 5510, 9957, 357, 8141, 37, 737, 383, 2872, 1718, 1295, 379, 262, 2254, 286, 39751, 13000, 10499, 287, 262, 1578, 7526, 319, 2242, 3035, 2321, 13, 198, 198, 464, 13225, 198, 198, 10445, 39839, 220, 10617, 329, 262, 2321, 6065, 338, 11514, 9595, 13, 198, 198, 6214, 635, 198, 9957, 379, 262, 2321, 10216, 14935, 198, 9957, 379, 262, 2321, 10216, 14935, 784, 6065, 338, 7740, 9537, 13350, 198, 2813, 7257, 37, 471, 12, 1954, 10749, 198, 198, 19927, 198, 198, 1759, 12, 2364, 198, 46, 306, 198, 46, 306, 198, 37316, 51, 5528, 11471, 70, 295, 35842, 408, 39901, 318, 257, 4693, 286, 5916, 287, 262, 1641, 18383, 11471, 12397, 31718, 11, 262, 1115, 15643, 698, 1697, 444, 13, 632, 318, 10095, 287, 262, 19517, 6896, 290, 10183, 10596, 10692, 11, 810, 340, 8833, 1863, 262, 8372, 7051, 286, 8602, 290, 422, 29638, 284, 33972, 13, 632, 318, 257, 19690, 1357, 364, 282, 5916, 15964, 510, 284, 220, 287, 4129, 13, 198, 198, 464, 4693, 373, 3417, 287, 4343, 618, 2266, 12, 13424, 15055, 15643, 357, 51, 5528, 11471, 70, 295, 5296, 353, 261, 313, 388, 8, 27569, 547, 5295, 284, 307, 3925, 286, 257, 649, 4693, 13, 6363, 2176, 1438, 10229, 284, 262, 10663, 12, 1820, 400, 605, 1748, 286, 37109, 408, 418, 290, 663, 3917, 3968, 11, 543, 373, 5140, 287, 8372, 8602, 11, 1626, 262, 2837, 286, 428, 4693, 13, 198, 198, 19927, 198, 198, 83, 433, 408, 39901, 198, 39428, 286, 2031, 198, 39428, 286, 5478, 198, 39428, 286, 262, 10596, 10692, 198, 39428, 286, 262, 19517, 6896, 198, 39428, 3417, 287, 4343, 3856, 26646, 89, 16342, 7484, 5564, 73, 74, 20954, 390, 978, 525, 18198, 357, 6286, 3945, 604, 11, 25190, 8, 318, 281, 36399, 4046, 24636, 11, 1597, 8580, 11, 290, 2329, 6652, 396, 3615, 14971, 13, 1375, 373, 7018, 284, 262, 36399, 3845, 287, 3717, 11, 290, 287, 2813, 2627, 262, 717, 2415, 290, 717, 3370, 284, 307, 11032, 355, 663, 43161, 282, 1992, 26, 262, 1281, 1234, 607, 1218, 287, 36399, 1627, 286, 22435, 11, 706, 11079, 1992, 1703, 4533, 347, 2778, 280, 13, 198, 198, 10265, 5564, 73, 74 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 4479, 1182, 13637, 26402, 284, 1282, 510, 351, 2742, 10064, 284, 12856, 262, 1788, 434, 11, 290, 15463, 379, 262, 4473, 286, 11646, 29379, 397, 323, 12144, 546, 262, 2732, 286, 1810, 338, 34180, 286, 2370, 11270, 284, 4960, 3399, 6, 15843, 284, 262, 1578, 1829, 13, 198, 198, 818, 22717, 11, 2039, 21361, 750, 10931, 422, 262, 2732, 286, 4796, 11, 290, 5399, 262, 3096, 286, 262, 24381, 2241, 13, 679, 2627, 262, 24381, 338, 2276, 7739, 287, 25325, 11, 290, 373, 7018, 8900, 286, 262, 24381, 287, 16450, 11, 34195, 34705, 49759, 297, 508, 373, 29040, 706, 678, 812, 351, 262, 4009, 13, 679, 4983, 355, 24381, 1893, 1566, 15408, 11, 1141, 543, 640, 339, 1444, 329, 262, 18525, 286, 1992, 6219, 16642, 290, 281, 886, 284, 262, 3119, 1687, 19572, 8359, 416, 4158, 5745, 13, 43970, 262, 1966, 11, 339, 373, 4688, 286, 262, 1976, 15746, 1108, 286, 5471, 284, 16642, 3402, 416, 7516, 10805, 11, 7504, 13, 286, 262, 24381, 338, 2669, 11, 360, 13, 34, 13, 2607, 13, 679, 373, 14131, 355, 24381, 1893, 416, 19636, 360, 669, 268, 13, 679, 6150, 257, 2888, 286, 262, 24381, 4640, 5583, 1566, 12863, 13, 198, 198, 20148, 198, 4834, 21361, 3724, 286, 12593, 19481, 319, 3269, 767, 11, 6303, 11, 379, 12592, 1140, 3327, 9256, 287, 968, 1971, 2254, 13, 679, 373, 11803, 416, 465, 3656, 20492, 25936, 290, 465, 2239, 1559, 2940, 327, 13, 1168, 3885, 11882, 13, 198, 198, 17574, 17815, 198, 198, 19927, 198, 198, 1129, 2919, 27244, 198, 19891, 7040, 198, 1238, 400, 12, 14792, 1605, 9326, 198, 7437, 3026, 2489, 9326, 198, 36063, 544, 3854, 3961, 31333, 198, 20148, 82, 422, 12593, 198, 25460, 3231, 286, 262, 1605, 7511, 34226, 4479, 198, 17013, 1829, 2732, 286, 4796, 9326, 5497, 1952, 544, 14888, 287, 262, 2211, 7740, 1423, 2675, 290, 28526, 11536, 5776, 287, 554, 40556, 11, 2520, 4969, 319, 2808, 2795, 784, 718, 2901, 2211, 13, 198, 198, 5497, 1952, 544, 1908, 8684, 10856, 543, 481, 9320, 287, 718, 5701, 13, 198, 198, 9921, 282, 10638, 198, 198, 9921, 874, 3084, 198, 198, 9921, 282, 1023, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 198, 43224, 1423, 2675, 290, 28526, 11536, 5776, 198, 43224, 1423, 2675, 290, 28526, 11536, 5776, 2211, 198, 5497, 1952, 544, 198, 6390, 1, 40, 15957, 41244, 1, 318, 262, 1218, 2060, 2716, 416, 262, 1605, 33549, 12, 12924, 4097, 4897, 286, 5896, 13, 383, 3496, 373, 3017, 319, 262, 4097, 338, 2462, 6704, 8886, 5062, 4897, 286, 5896, 287, 12113, 13, 383, 347, 12, 1589, 284, 262, 2060, 318, 366, 31042, 18541, 1600, 257, 816, 2966, 2196, 286, 543, 635, 4120, 319, 511, 8886, 5062, 13, 198, 198, 7003, 366, 40, 15957, 41244, 1, 4054, 284, 3151, 262, 36229, 6964, 1802, 8262, 11, 340, 750, 787, 262, 5849, 838, 319, 262, 36229, 6964, 17349, 6289, 3811, 8262, 11, 810, 340, 33948, 379, 645, 13, 807, 287, 12863, 13, 198, 198, 1, 40, 15957, 41244, 1, 373, 3194, 416, 4097, 2888, 36494, 5855, 38972, 4943, 9767, 615, 10115, 13, 2293, 262, 1943, 286, 511, 717, 2060, 11, 366, 26554, 1600, 366, 40, 15957, 41244, 1, 3940, 257, 2092, 22942, 11, 19732, 326, 262, 4097, 561, 1700, 257, 1336, 5062, 329, 311, 557, 13407, 13, 554, 3717, 11, 11396, 9767, 615, 10115, 4602, 11, 366, 1135, 1422, 470, 760, 340, 379, 262, 640, 11, 475, 36308, 11, 351, 705, 40, 15957, 41244, 3256, 340, 373, 407, 662, 585, 1328, 326, 311, 557, 373, 5922, 514, 379, 262, 640, 13, 1318, 373, 645, 4490, 7791, 13, 632, 373, 517, 257, 8591, 6383, 68, 13, 887, 788, 661, 2067, 10868, 510, 319, 705, 49, 4629, 6, 290, 788, 262, 5062, 3022, 526, 198, 198, 818, 5878, 11, 706, 1719, 1943, 351, 649, 34471, 274, 286, 366, 26554, 1600, 262, 1700, 1664, 20462, 13004, 14, 18230, 2189, 46013, 3059, 37314, 284, 2230, 257, 1061, 510, 416, 34471, 278, 366, 40, 15957, 41244, 1, 329, 262, 649, 39210, 13, 317, 18767, 1105, 1, 2060, 373, 2716, 287, 5878, 11, 9593, 262, 46013, 3059, 37314, 3801, 8049, 23896, 11, 290, 281, 21543, 2196, 286, 262, 34471, 319, 262, 14283, 1589, 11, 287, 1502, 284, 2252, 7719, 4897, 286, 5896, 338, 6000, 7127, 5062, 11, 314, 15957, 41244, 25, 383, 6705, 286, 4897, 286, 5896, 13, 383, 649, 34471, 274, 750, 407, 8262, 11, 290, 389, 407, 3017, 319, 262, 5062, 13, 198, 198, 24802, 26890, 198, 198, 29110, 767, 1, 14206, 220, 220, 357, 50, 557, 13407, 767, 12, 30336, 2078, 8, 198, 24819, 317, 25, 198, 1, 40, 15957, 41244, 1, 532, 513, 25, 1954, 198, 198, 24819, 347, 25, 198, 1, 31042, 18541, 1, 532, 604, 25, 1157, 198, 198, 29110, 1105, 1, 5436, 72, 12, 28008, 220, 220, 357, 50, 557, 13407, 657, 12, 1238, 36626, 8, 198, 24819, 317, 25, 220, 198, 1, 40, 15957, 41244, 1, 357, 14617, 520, 368, 1150, 10628, 8, 532, 642, 25, 3559, 198, 24819, 347, 25, 198, 1, 40, 15957, 41244, 1, 532, 513, 25, 1731, 198, 1, 31042, 18541, 1, 532, 604, 25, 1157, 198, 198, 28054, 767, 1, 23896, 14206, 220, 220, 357, 50, 557, 13407, 860, 2078, 718, 4790, 12, 22, 8, 198, 24819, 317, 25, 198, 1, 40, 15957, 41244, 1, 357, 8413, 844, 8, 532, 513, 25, 1129, 198, 198, 24819, 347, 25, 198, 1, 31042, 18541, 1, 357, 8413, 844, 8, 532, 718, 25, 3510, 198, 198, 28054, 1105, 1, 5436, 72, 12, 28008, 220, 220, 357, 50, 557, 13407, 47679, 4764, 17, 12, 15, 8, 198, 24819, 317, 25, 220, 198, 1, 40, 15957, 41244, 1, 357, 32, 7806, 7920, 24204, 23896, 8, 532, 642, 25, 2327, 198, 24819, 347, 25, 198, 1, 40, 15957, 41244, 1, 357, 22, 1, 23896, 8, 532, 513, 25, 1129, 198, 1, 31042, 18541, 1, 357, 8413, 844, 8, 532, 718, 25, 3510, 198, 198, 14585, 1105, 1, 10335, 78, 220, 220, 357, 6207, 17163, 13407, 21965, 12, 32, 12, 3064, 41734, 8, 198, 24819, 317, 25, 198, 1, 40, 15957, 41244, 1, 357, 9704, 385, 3059, 37314, 3801, 8049, 23896, 8, 532, 807 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 400, 29475, 286, 262, 41959, 6065, 338, 4041, 5454, 11, 257, 662, 12, 6230, 4708, 4346, 5449, 287, 17333, 13, 383, 5449, 2067, 319, 1467, 3945, 4343, 220, 290, 8391, 319, 352, 1737, 4343, 351, 376, 39, 11226, 3254, 333, 513, 1906, 17, 287, 262, 2457, 706, 3131, 640, 13, 198, 198, 24259, 198, 383, 1467, 3466, 547, 9086, 656, 362, 2628, 286, 807, 3466, 13, 5501, 1074, 5341, 530, 2872, 351, 584, 3466, 287, 262, 1448, 1752, 13, 383, 1353, 604, 3466, 422, 1123, 1448, 10617, 329, 262, 3860, 12, 32089, 13, 198, 198, 13247, 3800, 198, 198, 13247, 317, 198, 198, 13247, 347, 198, 198, 25095, 735, 448, 3800, 198, 198, 4507, 2571, 12, 32089, 198, 198, 13900, 361, 6897, 198, 198, 19006, 198, 198, 6214, 635, 198, 23709, 1044, 291, 6065, 338, 9957, 5454, 198, 25095, 30353, 79, 2417, 77, 385, 321, 3903, 6184, 235, 82, 4447, 532, 383, 41959, 9957, 5396, 198, 23709, 1044, 291, 3274, 7458, 4041, 4343, 198, 198, 19927, 198, 49, 5432, 20802, 7873, 532, 1024, 688, 397, 1134, 283, 4343, 198, 198, 5005, 688, 397, 1134, 283, 11, 4343, 198, 5005, 688, 397, 1134, 283, 11, 4343, 198, 23709, 1044, 291, 6065, 338, 9957, 4041, 5454, 36, 527, 10424, 4759, 315, 1008, 357, 6286, 767, 3945, 15904, 287, 520, 15318, 41651, 8, 318, 257, 9880, 2679, 44185, 508, 2826, 355, 257, 26318, 13, 198, 198, 37316, 3451, 198, 7191, 465, 3451, 11, 4759, 315, 1008, 2826, 9944, 329, 20994, 3430, 569, 69, 33, 520, 15318, 41651, 13, 2102, 11, 339, 691, 39025, 3933, 717, 7297, 11057, 1141, 1315, 7028, 25, 717, 339, 9763, 929, 13273, 412, 522, 9543, 417, 329, 5193, 812, 11, 788, 2826, 1218, 12, 25541, 284, 678, 12, 1941, 12, 727, 13067, 1168, 15702, 1754, 287, 8735, 1906, 4846, 11, 29040, 287, 5878, 706, 1440, 812, 287, 262, 9082, 286, 38323, 370, 1219, 1652, 993, 17034, 13, 198, 198, 3198, 614, 706, 29040, 11, 4759, 315, 1008, 2540, 13101, 520, 15318, 41651, 338, 3061, 24952, 13, 554, 2813, 11, 339, 373, 6928, 287, 262, 1281, 416, 33728, 6065, 1362, 13, 1550, 718, 1737, 1584, 11, 339, 4488, 351, 17986, 1004, 541, 38262, 284, 307, 511, 26318, 16052, 13, 198, 198, 29478, 4662, 198, 53, 69, 33, 520, 15318, 41651, 198, 44323, 25, 10249, 1906, 5892, 198, 360, 26001, 12, 47, 482, 282, 25, 8235, 1906, 5607, 198, 360, 26001, 12, 43, 328, 499, 482, 282, 25, 21529, 12, 929, 8309, 11, 7795, 198, 40858, 5454, 25, 21529, 12, 929, 12122, 1906, 4531, 198, 40858, 5454, 42754, 6, 5454, 25, 21529, 12, 929, 8309, 1906, 4089, 198, 198, 6214, 635, 198, 8053, 286, 530, 12, 18664, 1450, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 42830, 27244, 198, 36376, 661, 198, 18153, 15332, 422, 520, 15318, 41651, 198, 16010, 4346, 364, 198, 8021, 41003, 4346, 3061, 24952, 198, 33, 917, 274, 38910, 1938, 198, 53, 69, 33, 520, 15318, 41651, 1938, 198, 53, 69, 33, 520, 15318, 41651, 2873, 1938, 198, 53, 69, 33, 520, 15318, 41651, 1729, 12, 17916, 3085, 198, 37316, 364, 422, 7772, 268, 12, 54, 25151, 926, 1491, 70, 5574, 77, 342, 78, 3970, 389, 34306, 286, 30791, 17607, 287, 262, 1641, 286, 300, 1076, 17607, 11, 33812, 672, 17500, 31718, 13, 1318, 389, 2242, 1900, 4693, 13, 1439, 4693, 389, 36643, 286, 10087, 13, 198, 198, 20344, 3890, 198, 5574, 77, 342, 78, 3970, 389, 1043, 8688, 351, 262, 6631, 286, 30185, 11, 2158, 262, 4387, 1271, 286, 4693, 389, 1043, 287, 2520, 3687, 7229, 13, 198, 198, 11964, 23372, 198, 13746, 385, 49359, 342, 78, 3970, 371, 10205, 358, 3216, 11, 1248, 3695, 198, 7004, 5235, 385, 49359, 342, 78, 3970, 371, 10205, 358, 3216, 11, 1248, 3695, 198, 5574, 77, 342, 78, 3970, 555, 27045, 273, 2531, 5847, 11, 21489, 198, 5574, 77, 342, 78, 3970, 1013, 28216, 64, 357, 25515, 11, 1248, 1954, 8, 198, 5574, 77, 342, 78, 3970, 24573, 4311, 271, 26985, 6882, 263, 11, 1248, 5892, 198, 5574, 77, 342, 78, 3970, 307, 535, 2743, 1437, 371, 10205, 358, 3216, 11, 1248, 3695, 198, 5574, 77, 342, 78, 3970, 2386, 721, 32752, 34927, 11, 8309, 198, 5574, 77, 342, 78, 3970, 256, 2799, 72, 357, 43, 10562, 8270, 11, 1248, 1065, 8, 198, 5574, 77, 342, 78, 3970, 20429, 1437, 357, 39950, 11, 1248, 2920, 8, 198, 5574, 77, 342, 78, 3970, 1976, 18127, 430, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 374, 4820, 72, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 275, 396, 265, 12151, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 872, 8908, 259, 37834, 12880, 2442, 11, 36565, 198, 5574, 77, 342, 78, 3970, 22111, 270, 9900, 357, 14874, 7274, 11, 1248, 3104, 8, 198, 5574, 77, 342, 78, 3970, 491, 312, 641, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 1995, 7745, 1689, 72, 509, 680, 3755, 11, 32471, 198, 5574, 77, 342, 78, 3970, 7106, 291, 271, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 289, 709, 2271, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 409, 346, 271, 357, 39950, 11, 45278, 8, 198, 5574, 77, 342, 78, 3970, 24573, 853, 72, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 257, 4853, 271, 29188, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 21025, 265, 747, 8083, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 4192, 5049, 357, 14874, 7274, 11, 1248, 3104, 8, 198, 7004, 5235, 385, 32684, 2305, 79, 271, 6669, 64, 11, 19322, 198, 5574, 77, 342, 78, 3970, 850, 9383, 504, 6669, 64, 11, 19342, 198, 5574, 77, 342, 78, 3970, 46171, 1045, 6669, 64, 11, 19342, 198, 5574, 77, 342, 78, 3970, 289, 2265, 271, 759, 388, 6669, 64, 11, 19342, 198, 198, 19927, 198, 198, 10044, 292, 2737, 286, 10087, 198, 39, 3974, 672, 17500, 31718, 198, 14874, 18115, 5799, 1152, 64, 198, 27017, 64, 3706, 416, 7298, 16111, 371, 10205, 358, 3216, 26886, 3900, 318, 281, 1605, 8560, 4086, 9393, 287, 16382, 13, 13403, 287, 6995, 11, 3936, 11 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1588, 11, 1017, 15816, 42251, 351, 15962, 542, 4662, 13, 383, 6832, 389, 1690, 20633, 351, 18028, 22107, 284, 262, 8966, 18028, 286, 367, 5500, 377, 14422, 13, 4418, 7428, 422, 262, 367, 5500, 377, 15504, 10959, 318, 262, 2837, 286, 3124, 290, 39073, 10215, 422, 262, 32121, 286, 21782, 290, 26074, 321, 873, 287, 262, 39798, 7612, 286, 6832, 13, 383, 5107, 286, 262, 9168, 11, 257, 675, 654, 11, 290, 3420, 1322, 389, 30911, 27468, 11, 13968, 1112, 262, 38084, 5107, 286, 262, 3356, 13, 198, 198, 27730, 198, 198, 5962, 31526, 12280, 565, 47277, 220, 198, 198, 464, 3274, 31526, 12280, 565, 47277, 318, 257, 1440, 12, 13571, 2615, 543, 373, 12006, 287, 40538, 13, 383, 2615, 373, 3562, 416, 21798, 16042, 2047, 15688, 72, 290, 309, 671, 385, 89, 1835, 11632, 129, 226, 20545, 290, 318, 1909, 11032, 355, 281, 17340, 1523, 33075, 13, 14466, 306, 262, 360, 77, 1694, 17541, 5834, 11819, 11, 340, 2826, 281, 1593, 2597, 287, 262, 6467, 2055, 286, 7049, 287, 262, 812, 706, 663, 11939, 13, 554, 262, 11445, 82, 11, 262, 2615, 373, 36240, 11, 6078, 2048, 477, 663, 2656, 11087, 13, 632, 373, 2583, 284, 257, 14884, 3615, 7915, 5583, 355, 880, 355, 1811, 584, 2055, 35468, 290, 12437, 1141, 262, 10250, 1810, 6980, 11, 290, 1909, 340, 318, 1363, 284, 262, 15760, 11, 257, 11550, 24716, 1505, 11, 64, 32763, 11, 290, 257, 12765, 6128, 13, 198, 198, 33, 1834, 64, 286, 262, 1024, 37256, 286, 520, 13, 575, 5330, 32536, 220, 198, 464, 347, 1834, 64, 286, 262, 1024, 37256, 286, 520, 13, 575, 5330, 32536, 5201, 5103, 287, 43785, 290, 373, 3562, 416, 309, 671, 385, 89, 1835, 11632, 129, 226, 20545, 13, 4280, 273, 602, 319, 262, 24685, 16175, 671, 11, 2592, 739, 262, 9168, 290, 9753, 11, 547, 7867, 416, 13053, 27623, 1304, 88, 13, 383, 7577, 286, 262, 39798, 19867, 319, 262, 2615, 389, 7586, 11, 7872, 11, 4077, 11, 290, 2330, 11, 635, 24960, 286, 262, 4569, 7577, 286, 367, 5500, 377, 15504, 1242, 13, 198, 198, 50, 2305, 49108, 26690, 220, 198, 198, 464, 37965, 49108, 26690, 373, 5668, 287, 40417, 290, 373, 3562, 416, 30093, 591, 46273, 406, 1530, 79, 2047, 15688, 72, 13, 383, 2615, 373, 6898, 416, 16385, 320, 13235, 89, 37965, 49108, 11, 329, 4150, 340, 373, 3706, 11, 1566, 13505, 40, 11, 290, 340, 373, 3170, 284, 307, 257, 5336, 30732, 329, 262, 2297, 6372, 13, 2893, 262, 2615, 373, 12006, 287, 262, 3683, 44599, 303, 559, 3918, 11, 340, 16560, 32702, 82, 286, 262, 367, 5500, 377, 1882, 2521, 13, 198, 198, 35, 579, 37765, 286, 262, 31421, 2097, 220, 198, 464, 360, 579, 37765, 286, 262, 31421, 2097, 373, 5668, 287, 40538, 290, 373, 257, 6466, 1628, 1022, 1811, 29518, 286, 16042, 2047, 15688, 72, 338, 4081, 13, 770, 2615, 8470, 1978, 262, 45618, 341, 286, 262, 367, 5500, 377, 3918, 351, 262, 10238, 4847, 286, 262, 32605, 404, 1734, 3918, 13, 383, 2615, 9179, 355, 281, 8233, 3641, 329, 1957, 2444, 287, 24388, 452, 13, 198, 198, 33, 1834, 64, 286, 262, 2351, 2097, 5136, 220, 198, 464, 347, 1834, 64, 286, 262, 2351, 2097, 5136, 11, 5668, 287, 41435, 11, 373, 1194, 6466, 1628, 21846, 416, 16042, 2047, 15688, 72, 338, 4081, 13, 49208, 355, 257, 18586, 37765, 329, 6510, 286, 262, 2351, 2097, 5136, 11, 262, 2615, 373, 6007, 286, 5627, 21032, 286, 939, 2444, 13, 198, 198, 19927, 220, 198, 198, 29507, 452, 198, 19895, 5712, 495, 286, 7049, 7355, 666, 6888, 318, 257, 40351, 18091, 13, 198, 198, 7355, 666, 6888, 743, 3522, 284, 262, 1708, 25, 198, 198, 32, 1901, 1127, 290, 3519, 9611, 220, 198, 7355, 666, 6888, 11, 262, 1459, 40351, 6056, 11920, 18091, 9393, 287, 30992, 13, 198, 7355, 666, 6888, 41061, 11, 257, 40351, 15892, 18091, 290, 18174, 6898, 22347, 13, 198, 7355, 666, 6888, 49227, 11, 5053, 27045, 11, 257, 22347, 4955, 22548, 2594, 13, 198, 7355, 666, 6888, 4912, 532, 5184, 666, 6888, 4912, 4037, 12052, 1539, 262, 27596, 1522, 17270, 1664, 286, 5184, 666, 6888, 31681, 198, 7355, 666, 6888, 31681, 11, 15734, 5184, 666, 6888, 51, 22260, 3701, 26807, 654, 3457, 13, 198, 7355, 666, 6888, 309, 26576, 31703, 198, 7355, 666, 6888, 10604, 11, 257, 22347, 40351, 7915, 18091, 13, 198, 7355, 666, 6888, 2574, 26482, 11, 15734, 309, 26576, 11, 18845, 23546, 18091, 287, 262, 5184, 666, 6888, 31681, 1448, 13, 198, 7355, 666, 6888, 32183, 11, 15734, 23546, 5184, 9386, 6888, 13, 198, 7355, 666, 6888, 18133, 31656, 11, 15734, 1900, 355, 406, 2246, 4090, 13, 198, 7355, 666, 6888, 32982, 373, 9393, 355, 26378, 30644, 16712, 13, 198, 7355, 666, 6888, 38252, 11, 15734, 15781, 32752, 878, 2627, 399, 25241, 11, 428, 635, 3017, 4689, 6446, 68, 30644, 357, 958, 1370, 737, 198, 7355, 666, 6888, 25794, 373, 9393, 832, 257, 24589, 1022, 24791, 25794, 290, 44720, 26552, 13, 198, 7355, 666, 6888, 2448, 21356, 11, 15734, 309, 26576, 2448, 21356, 11, 49119, 18091, 286, 25768, 13, 198, 7355, 666, 6888, 23519, 11, 15781, 3575, 21921, 11, 1966, 7915, 18091, 286, 23519, 13, 198, 7355, 666, 6888, 6168, 11, 337, 13252, 4326, 4955, 6215, 2594, 13, 198, 7355, 666, 6888, 17860, 11, 1966, 10792, 42464, 1430, 13, 198, 7355, 666, 6888, 11, 4508, 1438, 329, 734, 4795, 26225, 6898, 416, 1632, 5877, 4912, 13, 198, 7355, 666, 6888, 16519, 11, 1966, 7915, 18091, 6898, 416, 1632, 5877, 4912, 13, 198, 7355, 666, 6888, 39452, 346, 11, 1966, 17036, 18091, 6898, 416, 1632, 5877, 4912, 13, 198, 7355, 666, 6888, 23982, 11, 1351, 286, 5184, 666, 6888, 23982, 13, 198, 7355, 666, 6888, 2574, 26482, 23982, 11, 1351, 286, 5184, 666, 6888, 2574, 26482, 23982, 13, 198, 7355, 666, 6888, 25794, 23982, 11, 1351, 286, 5184, 666, 6888, 25794, 23982, 13, 198, 7355, 666, 6888, 25768, 23982, 11, 1351, 286, 5184, 666, 6888, 2448, 21356, 23982, 13, 198, 7355, 666, 6888, 7595, 23982, 11, 1351, 286, 5184, 666, 6888, 39452, 346, 23982, 13, 198, 198, 7355, 666, 6888, 17390, 290, 10207, 198, 1129, 2857, 5184, 666, 6888, 15796, 6257, 12 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3208, 1840, 544, 13, 198, 198, 464, 40733, 3767, 5366, 2017, 475, 706, 11091, 8722, 287, 28499, 11, 18482, 290, 262, 4074, 286, 262, 1627, 44247, 1001, 933, 547, 4137, 284, 2666, 262, 40733, 706, 6078, 6504, 286, 340, 3190, 319, 838, 3035, 11, 1088, 262, 1004, 6669, 557, 41407, 13, 383, 734, 7937, 5982, 15338, 390, 42799, 319, 718, 2795, 706, 1719, 31472, 832, 257, 1588, 6388, 329, 16571, 1528, 290, 1719, 2626, 257, 1588, 1271, 286, 5462, 1866, 284, 629, 333, 7670, 290, 18787, 13, 1119, 788, 33835, 284, 10593, 22484, 11, 14820, 319, 642, 3945, 1596, 3682, 422, 810, 484, 33835, 284, 4492, 1231, 2252, 29406, 499, 13, 18482, 373, 6149, 284, 307, 5445, 510, 319, 2534, 3035, 1596, 3559, 11, 4305, 12164, 1231, 257, 3141, 13, 198, 198, 49998, 373, 1306, 9899, 284, 3141, 262, 4074, 286, 262, 1627, 44247, 13910, 319, 718, 3267, 11, 287, 543, 339, 373, 1908, 284, 4691, 287, 262, 19517, 13, 12164, 290, 13910, 4983, 287, 257, 40733, 25967, 572, 15725, 1471, 660, 13528, 290, 612, 339, 7907, 262, 7897, 2839, 263, 21733, 395, 430, 2311, 5799, 1619, 10018, 4982, 319, 2534, 3426, 878, 26140, 284, 33444, 19727, 35086, 743, 3522, 284, 25, 628, 5613, 35086, 357, 24891, 396, 8, 357, 6286, 25177, 828, 2679, 10099, 198, 5613, 35086, 357, 82, 603, 273, 8, 357, 6286, 24977, 828, 14780, 43272, 50, 2978, 1636, 318, 257, 32593, 319, 21673, 13, 220, 6363, 1438, 373, 8197, 416, 262, 314, 26830, 287, 13521, 11, 706, 262, 3594, 21810, 38506, 2750, 824, 258, 46854, 11, 508, 5615, 422, 1596, 5892, 284, 1248, 1828, 13, 198, 198, 50, 2978, 1636, 318, 12893, 391, 416, 262, 4622, 4833, 290, 7099, 32593, 4216, 330, 305, 844, 11, 284, 262, 5093, 13, 198, 198, 19927, 198, 198, 26950, 529, 1067, 8605, 319, 21673, 2348, 293, 456, 1092, 3418, 11, 2258, 5913, 318, 287, 5665, 337, 286, 262, 8823, 14914, 23121, 2940, 263, 6118, 11, 290, 468, 1440, 19736, 355, 286, 2901, 12131, 13, 220, 220, 383, 18364, 1430, 373, 2727, 416, 262, 2258, 5913, 3611, 10006, 287, 30704, 13, 4619, 326, 640, 625, 26143, 2042, 290, 8465, 19736, 423, 587, 4624, 1863, 25840, 2258, 5913, 27239, 3690, 262, 1181, 13, 5501, 530, 468, 257, 4506, 6764, 286, 257, 1109, 5981, 284, 1181, 2106, 11, 290, 318, 5140, 1474, 257, 1295, 3519, 284, 326, 1109, 13, 2258, 5913, 338, 14683, 389, 9086, 656, 38741, 12815, 329, 262, 12763, 18364, 1430, 13, 5501, 18364, 318, 8686, 281, 27421, 326, 6140, 351, 262, 3850, 286, 262, 4783, 11, 3940, 416, 257, 1271, 13, 198, 198, 19927, 198, 198, 14157, 5913, 12, 5363, 8341, 198, 18122, 286, 2258, 5913, 416, 7968, 44, 10924, 20954, 27663, 357, 1129, 2920, 784, 604, 2932, 33448, 8, 373, 257, 10797, 452, 666, 14971, 11, 10099, 11, 290, 6240, 13, 317, 2888, 286, 262, 2151, 3515, 4234, 286, 9190, 1044, 11, 339, 7997, 262, 25459, 421, 271, 22260, 2732, 287, 262, 15840, 286, 2129, 8249, 422, 8309, 284, 6244, 13, 198, 198, 20457, 1204, 290, 3707, 198, 15884, 411, 373, 4642, 287, 47352, 260, 287, 24977, 13, 679, 18303, 422, 9233, 1524, 287, 15904, 290, 9141, 262, 16319, 2731, 64, 22953, 390, 5178, 32009, 18840, 390, 6669, 395, 4951, 1526, 7860, 47352, 260, 11, 422, 810, 339, 18303, 351, 257, 4922, 287, 7743, 287, 15524, 13, 679, 635, 3111, 355, 257, 10099, 290, 2627, 262, 4870, 286, 366, 26093, 1623, 40725, 1600, 543, 339, 9393, 287, 13540, 13, 679, 635, 2627, 262, 4870, 286, 8829, 1665, 2768, 23267, 18840, 22623, 13, 198, 198, 35443, 3451, 198, 15884, 411, 5982, 4819, 287, 8735, 11, 706, 339, 373, 9392, 284, 4654, 3515, 4234, 286, 9190, 1044, 357, 10943, 5188, 4537, 8, 416, 17409, 3175, 268, 4188, 13, 679, 4966, 329, 10106, 286, 47352, 260, 287, 8235, 475, 373, 23993, 11, 12848, 11695, 287, 262, 2457, 3015, 26767, 11, 3584, 339, 1839, 257, 5852, 319, 262, 1748, 6745, 13, 679, 16542, 422, 428, 2292, 287, 8309, 284, 1057, 329, 257, 5852, 287, 262, 15840, 286, 2129, 8249, 13, 679, 373, 7018, 11, 10200, 262, 25459, 421, 271, 22260, 2732, 11, 3584, 339, 373, 262, 691, 2888, 286, 7102, 5188, 4537, 284, 1592, 257, 17521, 5852, 287, 262, 5011, 13, 679, 4966, 329, 302, 12, 14300, 287, 6244, 11, 475, 373, 23993, 2233, 284, 42965, 1626, 7102, 5188, 4537, 13, 679, 4504, 284, 14033, 1708, 428, 7433, 13, 198, 198, 3260, 281, 3624, 12, 1941, 10737, 11, 27663, 4504, 284, 4819, 287, 3050, 284, 1057, 329, 10106, 286, 47352, 260, 329, 262, 1218, 640, 13, 770, 640, 11, 339, 7997, 262, 9511, 1448, 376, 1156, 68, 2547, 64, 8591, 12313, 357, 5837, 53, 828, 3584, 339, 373, 757, 23993, 290, 691, 7366, 513, 13, 22, 4, 286, 262, 3015, 13, 679, 12412, 9880, 422, 4819, 329, 262, 2457, 640, 13, 198, 198, 20148, 198, 44, 10924, 20954, 27663, 3724, 286, 19481, 422, 7375, 11008, 12, 1129, 287, 47352, 260, 319, 604, 2932, 33448, 11, 379, 262, 2479, 286, 7724, 13, 198, 198, 19927, 198, 198, 1129, 2920, 27244, 198, 1238, 2481, 7040, 198, 33, 349, 452, 666, 7602, 198, 25341, 286, 262, 10797, 452, 666, 15840, 286, 2129, 8249, 198, 9444, 4234, 286, 9190, 1044, 7602, 198, 8061, 422, 47352, 260, 198, 20148, 82, 422, 262, 7375, 11008, 12, 1129, 19798, 5314, 287, 38496, 44, 22296, 461, 519, 84, 12652, 1703, 64, 3055, 72, 318, 257, 36430, 8233, 13, 508, 468, 4983, 355, 262, 899, 455, 286, 1052, 4131, 430, 1812, 5535, 286, 3893, 8987, 11, 1835, 21707, 11, 1052, 4131, 430, 1812, 11, 19398, 1201, 2211, 13, 198, 198, 20457, 1204, 290, 3707, 220, 198, 32, 2611, 3055, 72, 12652, 337, 22296, 461, 519, 84, 373, 4642, 656, 262, 1641, 286, 399, 2736, 1052, 14234, 1350, 357, 52, 14520, 34748, 8, 290, 314, 88, 296, 440, 2290, 10247, 337, 22296, 461, 519, 84, 286, 7181, 7404, 1835, 21707, 287, 5121, 368, 2403, 12, 14157, 1957, 1230, 1989, 286, 1052, 4131, 430, 1812, 11, 19398, 287, 1903, 3126, 82, 13, 679, 318, 6405, 284, 14087, 399, 365, 343, 14852, 337, 22296, 461, 519, 84, 357, 45 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 35270, 550, 1775, 514, 290, 373, 8263, 1854, 287, 262, 6697, 4571, 837, 617, 1611, 286, 725, 9650, 373, 5836, 326, 835, 764, 72, 750, 299, 470, 423, 640, 284, 804, 764, 72, 4251, 503, 284, 5552, 474, 320, 837, 339, 373, 1016, 284, 1057, 1182, 11085, 656, 262, 555, 29356, 705, 82, 31746, 837, 618, 1312, 1333, 1496, 764, 1820, 3625, 1625, 503, 422, 739, 502, 290, 1312, 2277, 616, 1182, 1327, 319, 262, 13055, 10017, 4314, 764, 72, 2042, 276, 503, 329, 257, 1218, 837, 475, 4137, 3589, 284, 1445, 837, 36502, 284, 2834, 3589, 510, 764, 72, 373, 355, 922, 355, 2636, 611, 1312, 714, 299, 470, 764, 72, 550, 18859, 319, 262, 20567, 422, 262, 28850, 1312, 550, 1813, 284, 683, 407, 3478, 2431, 878, 764, 73, 320, 550, 5710, 606, 355, 339, 4966, 3812, 262, 7779, 837, 4395, 262, 555, 29356, 351, 465, 16790, 764, 258, 373, 299, 470, 2636, 837, 339, 8104, 612, 351, 257, 804, 286, 9961, 355, 428, 307, 34394, 286, 555, 324, 377, 353, 515, 14404, 1625, 2318, 260, 1359, 465, 835, 764, 72, 2993, 1312, 750, 299, 470, 423, 640, 284, 2245, 683, 290, 714, 299, 470, 772, 611, 1312, 550, 3088, 764, 72, 705, 67, 307, 9670, 611, 262, 11975, 750, 299, 470, 1011, 502, 503, 355, 880, 764, 258, 550, 3066, 465, 10030, 837, 484, 550, 5445, 428, 582, 416, 2263, 465, 3367, 422, 683, 764, 43582, 362, 340, 373, 588, 281, 17226, 5194, 1816, 572, 764, 2934, 15311, 373, 7348, 8347, 764, 72, 550, 5017, 616, 11368, 655, 287, 640, 837, 475, 262, 11975, 373, 991, 21815, 3101, 764, 292, 1312, 45668, 503, 422, 739, 262, 16468, 837, 326, 550, 1752, 587, 319, 262, 20726, 1088, 502, 837, 1312, 11615, 284, 766, 832, 262, 7523, 810, 262, 7779, 550, 1752, 587, 764, 46248, 13176, 502, 290, 331, 14076, 502, 284, 616, 3625, 764, 72, 4251, 329, 616, 1735, 3211, 837, 475, 340, 373, 3750, 764, 72, 1276, 423, 5710, 340, 618, 1312, 4966, 329, 3002, 764, 64, 11975, 588, 326, 925, 345, 1254, 588, 534, 7721, 373, 1016, 284, 11527, 287, 764, 15506, 508, 64, 3608, 340, 2276, 5145, 7559, 764, 270, 373, 474, 35270, 290, 339, 550, 257, 2063, 8667, 517, 661, 351, 683, 764, 9930, 477, 550, 3777, 290, 749, 547, 5017, 287, 2910, 764, 15506, 644, 262, 5968, 3022, 736, 994, 5633, 10148, 15506, 1312, 714, 1265, 345, 262, 976, 1808, 10148, 1312, 531, 837, 2111, 284, 1064, 262, 2456, 329, 644, 550, 1816, 866, 764, 15506, 356, 1043, 474, 320, 705, 82, 3367, 837, 339, 373, 2636, 764, 73, 320, 20821, 290, 925, 257, 307, 4470, 329, 262, 5127, 7779, 484, 547, 555, 25138, 764, 72, 3088, 284, 4929, 683, 837, 475, 339, 9617, 262, 20567, 379, 616, 3625, 290, 1312, 1816, 866, 764, 258, 1718, 503, 262, 2104, 1989, 618, 339, 2277, 340, 764, 8727, 389, 777, 661, 5633, 10148, 15506, 484, 547, 11816, 1474, 262, 2166, 286, 262, 3650, 618, 1312, 4966, 883, 19918, 1371, 510, 612, 764, 9930, 2497, 502, 290, 1625, 503, 284, 1037, 764, 72, 9617, 428, 18396, 262, 2485, 1201, 1312, 466, 299, 470, 760, 644, 284, 466, 351, 340, 837, 18396, 373, 2263, 606, 503, 588, 340, 373, 289, 7335, 5145, 10148, 258, 531, 10609, 284, 257, 22848, 487, 2045, 582, 287, 465, 1903, 277, 2135, 444, 393, 523, 764, 15506, 3085, 264, 13655, 36650, 9099, 10076, 10148, 531, 262, 582, 508, 474, 35270, 550, 8754, 262, 2485, 284, 837, 7559, 545, 13148, 345, 705, 260, 257, 16050, 837, 3367, 5633, 10148, 15506, 5026, 525, 25912, 10148, 837, 1312, 531, 290, 14682, 465, 1021, 837, 7559, 3990, 282, 11223, 487, 1678, 837, 352, 301, 8195, 10148, 7559, 922, 582, 837, 10148, 339, 531, 837, 7559, 345, 2192, 7448, 514, 477, 1909, 10148, 7559, 880, 15967, 837, 1909, 257, 600, 625, 1865, 10148, 1312, 531, 7559, 356, 761, 284, 1445, 764, 72, 5257, 284, 651, 617, 7508, 503, 286, 530, 286, 606, 837, 878, 262, 11278, 10148, 1312, 788, 47968, 262, 7508, 284, 262, 1448, 286, 661, 1088, 502, 764, 23108, 286, 262, 1854, 550, 2422, 1998, 837, 45120, 617, 547, 21490, 764, 15506, 880, 7510, 837, 10148, 474, 35270, 531, 7559, 612, 18548, 307, 517, 621, 362, 393, 513, 1364, 837, 356, 705, 303, 2077, 503, 379, 1551, 734, 8667, 764, 732, 705, 303, 1392, 777, 5089, 364, 764, 10148, 15506, 9480, 866, 3367, 837, 10148, 531, 36650, 9099, 10076, 7559, 340, 705, 82, 691, 257, 2300, 286, 640, 878, 484, 3758, 517, 287, 837, 262, 734, 6510, 356, 1364, 510, 2166, 1275, 299, 470, 1745, 606, 572, 8097, 764, 10148, 15506, 1312, 705, 303, 1392, 281, 2126, 837, 10148, 531, 530, 286, 262, 1448, 7559, 1312, 670, 994, 837, 220, 425, 1392, 8251, 284, 262, 10303, 764, 732, 460, 651, 340, 290, 30974, 262, 2166, 8215, 1566, 356, 3785, 503, 644, 284, 466, 764, 10148, 15506, 467, 651, 340, 837, 2801, 2652, 994, 290, 766, 611, 356, 460, 32504, 617, 4334, 20381, 422, 262, 7779, 10148, 36650, 9099, 10076, 531, 764, 15506, 12876, 837, 1282, 351, 502, 764, 73, 35270, 345, 1165, 764, 10148, 72, 531, 7559, 356, 705, 260, 1016, 284, 651, 428, 290, 788, 1312, 705, 76, 1016, 736, 329, 616, 11077, 764, 7091, 705, 82, 6039, 276, 510, 287, 281, 2607, 1474, 262, 736, 10148, 356, 3888, 39640, 3812, 262, 2139, 8215, 1474, 262, 736, 764, 72, 561, 423, 731, 1997, 262, 938, 1178, 286, 606, 547, 4953, 612, 764, 15506, 4043, 837, 356, 1275, 299, 470, 655, 13076, 832, 262, 8215, 837, 484, 705, 297, 2298, 514, 572, 611, 356, 466, 10148, 1312, 531, 837, 2045, 329, 257, 1365, 835, 287, 764, 15506, 625, 994, 837, 612, 705, 82, 257, 27318, 13200, 832, 262, 17075, 326, 356, 460, 467, 832, 764, 270, 705, 82, 36972, 475, 484, 2192, 750, 299, 470, 772, 766, 340, 764, 270, 2058, 503, 2157, 617, 10559, 764, 10148, 72, 1816, 832, 717, 764, 732, 550, 2495, 922, 3002, 2157, 617, 4858, 31557, 10559, 618, 356, 1392, 656, 262, 20933, 764, 3500, 262, 43853, 22353, 837, 1312, 48781, 379, 1551, 1115 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 262, 1660, 422, 607, 1986, 290, 2111, 407, 284, 6487, 764, 7091, 2227, 284, 307, 21799, 355, 673, 23153, 276, 1660, 837, 475, 1278, 5077, 510, 379, 683, 5055, 379, 262, 5743, 286, 262, 5933, 14376, 379, 607, 48629, 1181, 837, 18989, 262, 8993, 1497, 764, 12518, 339, 6939, 607, 2951, 547, 319, 683, 837, 339, 31460, 1182, 717, 656, 262, 1660, 837, 351, 262, 5032, 290, 11542, 286, 257, 4708, 12312, 764, 43012, 1568, 837, 339, 15328, 24903, 257, 2366, 1497, 422, 607, 837, 465, 1767, 1752, 757, 1278, 396, 3101, 355, 262, 36116, 286, 1660, 4966, 625, 465, 12450, 355, 339, 23153, 276, 1660, 764, 15506, 644, 611, 1312, 714, 299, 470, 9422, 5145, 72, 561, 423, 16398, 5145, 10148, 7091, 1663, 992, 837, 4328, 2140, 1660, 379, 683, 290, 730, 38944, 8993, 837, 996, 287, 3872, 673, 373, 517, 36979, 621, 1997, 2073, 764, 258, 13818, 355, 339, 4838, 262, 5253, 1022, 606, 764, 29988, 2105, 281, 3211, 1088, 607, 16139, 837, 308, 397, 11719, 5954, 607, 284, 683, 837, 981, 3867, 606, 3812, 2236, 789, 10150, 764, 15506, 1312, 561, 423, 7448, 345, 764, 10148, 7091, 3888, 351, 683, 287, 262, 1660, 837, 1262, 530, 1021, 284, 39517, 837, 981, 29612, 262, 584, 1088, 465, 7393, 764, 15506, 561, 345, 783, 5633, 10148, 9930, 925, 340, 284, 262, 1936, 2366, 1317, 837, 543, 550, 262, 1660, 2406, 510, 625, 607, 12450, 837, 981, 340, 1625, 284, 3095, 12, 46713, 319, 683, 764, 15506, 1312, 561, 837, 10148, 339, 4999, 12285, 607, 1028, 262, 3608, 37973, 17763, 286, 262, 5933, 3355, 290, 788, 21576, 607, 287, 837, 281, 3211, 319, 2035, 1735, 286, 607, 1182, 764, 64, 2769, 43057, 2128, 1625, 422, 683, 355, 339, 17788, 465, 5422, 284, 25144, 290, 13580, 863, 262, 2046, 1626, 607, 764, 15506, 616, 5770, 308, 397, 11719, 837, 1312, 1275, 299, 470, 1975, 703, 881, 1312, 765, 345, 764, 10148, 7091, 21893, 1028, 465, 11914, 355, 339, 10905, 276, 465, 625, 25144, 764, 7091, 373, 299, 470, 1654, 644, 6655, 607, 517, 262, 1109, 673, 2227, 683, 517, 621, 673, 705, 67, 2227, 2687, 287, 607, 10869, 837, 393, 262, 1109, 326, 673, 2936, 523, 6792, 22688, 340, 284, 683, 764, 18927, 546, 683, 925, 607, 1254, 35112, 290, 379, 10152, 2162, 588, 673, 714, 466, 393, 910, 1997, 1088, 683, 290, 407, 5490, 546, 262, 6948, 764, 258, 39889, 26625, 465, 2951, 26852, 3723, 351, 30184, 290, 6227, 764, 15506, 1312, 705, 76, 477, 12431, 5156, 764, 10148, 7091, 41723, 257, 2589, 837, 16143, 656, 465, 3223, 2951, 764, 27971, 547, 1541, 8253, 1576, 837, 750, 673, 1107, 765, 284, 787, 606, 772, 517, 523, 5633, 7091, 12615, 465, 1913, 837, 6616, 19218, 764, 37814, 546, 683, 373, 4998, 290, 339, 2227, 607, 5145, 19419, 1194, 1807, 319, 262, 2300, 673, 18859, 607, 1021, 2157, 465, 1182, 290, 5954, 465, 5422, 866, 284, 25144, 764, 70, 397, 11719, 7128, 22739, 355, 465, 11914, 1625, 21899, 866, 4291, 25144, 351, 257, 16460, 673, 705, 67, 1239, 2936, 422, 2687, 878, 764, 14363, 1767, 12070, 17707, 1028, 25144, 837, 6757, 768, 607, 1022, 262, 3608, 37973, 290, 465, 5814, 837, 1327, 1767, 764, 32393, 4623, 607, 30389, 837, 339, 8169, 6347, 607, 510, 4291, 465, 21497, 837, 290, 12070, 607, 42247, 510, 1028, 25144, 764, 1169, 1327, 32525, 286, 607, 7540, 837, 12070, 1028, 607, 16176, 4703, 290, 262, 691, 1517, 673, 714, 892, 546, 422, 326, 966, 319, 373, 703, 922, 340, 373, 1016, 284, 1254, 351, 683, 39603, 656, 607, 764, 70, 397, 11719, 705, 82, 1021, 18859, 1088, 607, 355, 339, 27762, 2004, 262, 8470, 9155, 319, 607, 45810, 1353, 764, 1169, 1353, 3214, 1280, 290, 656, 262, 1660, 837, 21294, 607, 716, 903, 17515, 284, 683, 764, 15506, 345, 705, 260, 17515, 389, 13393, 307, 400, 837, 10148, 339, 531, 837, 465, 5422, 1762, 663, 835, 866, 607, 7393, 284, 8006, 262, 717, 45915, 1022, 465, 9941, 764, 15506, 11752, 5770, 5145, 10148, 1169, 1254, 286, 465, 11880, 290, 9941, 355, 484, 6757, 1740, 290, 7332, 12061, 607, 45915, 1908, 1790, 38596, 286, 9476, 832, 607, 837, 3649, 262, 2046, 1022, 607, 7405, 764, 7091, 610, 1740, 607, 736, 837, 7796, 607, 17515, 3371, 683, 837, 257, 10813, 329, 517, 764, 64, 2705, 27762, 284, 262, 13042, 286, 607, 45810, 4220, 550, 340, 9679, 262, 1353, 837, 12462, 379, 262, 1353, 286, 262, 1660, 13970, 606, 764, 15506, 326, 705, 82, 407, 3148, 5145, 10148, 258, 13663, 465, 1182, 284, 1826, 607, 17841, 837, 5213, 7668, 351, 465, 6227, 287, 465, 5408, 764, 15506, 644, 705, 82, 2642, 5633, 10148, 27399, 2105, 465, 1182, 287, 607, 2832, 673, 17788, 607, 5422, 284, 9245, 683, 2952, 878, 1762, 257, 8025, 286, 1402, 36544, 1863, 465, 19218, 284, 465, 1027, 75, 5910, 764, 15506, 780, 345, 705, 303, 550, 502, 12105, 5403, 1909, 290, 1312, 423, 1865, 284, 766, 326, 4950, 7540, 286, 12431, 764, 10148, 15506, 257, 49126, 5089, 307, 400, 5145, 10148, 4480, 530, 1021, 6493, 607, 3463, 319, 465, 21497, 339, 973, 262, 584, 284, 4574, 866, 465, 9422, 491, 14125, 290, 7188, 1568, 484, 5399, 607, 9422, 6063, 12462, 1306, 284, 606, 764, 14363, 1588, 837, 11069, 18619, 12070, 1028, 607, 4756, 837, 256, 20706, 607, 319, 644, 373, 2582, 284, 1282, 764, 15506, 326, 705, 82, 1365, 837, 10148, 673, 25029, 837, 266, 6950, 1359, 625, 683, 837, 2263, 262, 8171, 286, 465, 7540, 656, 607, 627, 35598, 4755, 764, 7091, 373, 20945, 416, 257, 1877, 1663, 75, 422, 683, 355, 465, 1767, 11192, 276, 510, 837, 475, 339, 2714, 2241, 736, 764, 14363, 5408, 6348, 2726, 329, 257, 2589, 764, 15506, 389, 345, 2263, 1997, 307, 400, 5633, 10148, 15506, 3763, 764, 4360, 423, 299, 470, 550, 1714, 329, 625, 2237, 1933, 523, 340, 373, 5033, 2048, 27158, 764, 10148, 70, 397, 11719, 36268, 764, 15506, 880, 837, 788, 837, 1309, 705, 82, 21210, 326, 837, 10148, 339, 27803, 465, 1021, 656, 607, 4190, 837, 277, 6347, 262, 890, 21541, 36593, 290, 2921, 607, 4190, 257, 27762, 837, 10833, 607, 1986, 284, 26500, 510, 284, 683, 764 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3956, 8, 290, 4502, 367, 13, 370, 13, 5511, 357, 41, 1765, 338, 2988, 737, 371, 1047, 71, 50210, 77, 14717, 286, 262, 5940, 2351, 6602, 11, 6797, 326, 366, 8332, 465, 8507, 329, 34401, 11, 319, 2071, 706, 2071, 24298, 468, 2077, 6116, 326, 389, 5566, 284, 262, 826, 286, 465, 3956, 338, 851, 290, 286, 790, 584, 1893, 287, 2274, 4088, 526, 198, 198, 8421, 5442, 734, 2846, 355, 8153, 11, 5511, 2626, 465, 717, 1057, 329, 8153, 286, 4744, 287, 9162, 284, 262, 23526, 4390, 10807, 11, 3854, 1122, 609, 2915, 13, 554, 465, 9162, 3234, 11, 5511, 366, 7174, 2241, 257, 705, 2256, 12, 65, 4924, 5940, 11496, 6858, 1041, 74, 404, 286, 28035, 6797, 326, 706, 465, 2994, 287, 262, 9162, 3071, 11, 5511, 17383, 845, 5940, 9056, 290, 4788, 11, 475, 7194, 284, 11206, 257, 517, 10768, 2939, 13, 198, 198, 36113, 373, 12412, 7018, 8153, 329, 734, 2846, 287, 2607, 11, 422, 7358, 284, 4343, 13, 360, 6532, 75, 3362, 1559, 11, 6240, 3165, 17506, 286, 1230, 379, 262, 2059, 286, 2520, 4744, 11, 531, 25, 12878, 36113, 60, 21825, 355, 257, 5940, 11, 290, 2506, 287, 262, 4744, 3415, 3615, 3177, 683, 257, 5940, 526, 7244, 327, 13, 4176, 11, 1964, 5464, 286, 262, 15528, 4696, 3782, 11, 6797, 326, 366, 36113, 373, 407, 655, 257, 4388, 3415, 8153, 11889, 26, 339, 373, 257, 5940, 11276, 8153, 508, 823, 1348, 7796, 262, 22878, 319, 2450, 526, 6542, 24740, 11, 4664, 1923, 20685, 284, 14264, 287, 262, 3648, 4787, 1923, 11, 5081, 326, 379, 262, 640, 5511, 1364, 2607, 355, 8153, 286, 4744, 11, 366, 258, 373, 6768, 11, 28355, 11, 42053, 328, 24987, 11987, 355, 262, 749, 5940, 8153, 287, 262, 1578, 1829, 526, 14611, 11444, 14919, 4100, 5124, 385, 286, 262, 2059, 286, 2520, 4744, 11, 531, 25, 366, 818, 4744, 11, 685, 36113, 318, 60, 991, 11067, 355, 5940, 11, 2592, 319, 9068, 2428, 290, 772, 319, 1919, 2428, 526, 198, 198, 818, 257, 3945, 1853, 1808, 12, 392, 12, 41484, 6246, 351, 11465, 35368, 379, 262, 16932, 2246, 4495, 11, 5511, 5081, 25, 366, 40, 561, 6901, 3589, 355, 257, 18207, 11, 4975, 12, 14543, 5940, 526, 198, 198, 36113, 468, 587, 12318, 416, 617, 15777, 3615, 1866, 355, 852, 19022, 306, 5940, 11, 355, 339, 6971, 6116, 319, 6272, 290, 262, 8070, 7231, 1812, 20130, 18362, 326, 389, 24166, 351, 617, 12471, 13, 198, 198, 24510, 4699, 2428, 198, 198, 4826, 5817, 198, 36113, 6971, 5520, 284, 3958, 7950, 706, 1160, 2745, 11, 1642, 13269, 329, 262, 1204, 286, 262, 2802, 11, 7262, 11, 393, 35961, 13, 554, 2932, 1853, 11, 5511, 531, 25, 366, 3666, 1700, 355, 257, 386, 12, 6042, 8153, 318, 407, 287, 11047, 13, 314, 716, 3190, 386, 12, 6042, 290, 314, 1975, 326, 356, 815, 423, 257, 3968, 286, 1204, 526, 554, 5816, 11, 5511, 3417, 2241, 355, 366, 26949, 262, 749, 386, 12, 6042, 8153, 287, 3660, 1661, 526, 198, 198, 1722, 8153, 11, 5511, 4488, 257, 21694, 14483, 719, 656, 1099, 290, 4855, 262, 6282, 286, 257, 366, 31851, 5155, 1, 22847, 5964, 7480, 13, 554, 5816, 11, 5511, 12725, 2260, 2056, 3241, 706, 465, 3662, 7194, 262, 12557, 286, 257, 21688, 329, 262, 31076, 286, 257, 2478, 453, 10058, 7262, 3117, 11, 257, 1445, 543, 366, 19041, 1466, 338, 2489, 2628, 290, 13580, 863, 262, 4384, 625, 7950, 287, 4744, 526, 554, 5075, 11, 5511, 7194, 284, 2512, 257, 1511, 12, 1941, 12, 727, 10423, 2576, 508, 550, 5615, 287, 257, 1181, 12, 36612, 1448, 1363, 422, 16727, 281, 7950, 26, 257, 5052, 8879, 1028, 262, 1181, 11, 290, 5511, 3066, 407, 284, 5198, 2252, 13, 198, 198, 36113, 6971, 262, 47613, 278, 286, 18451, 18461, 13, 554, 2901, 1853, 11, 5511, 1444, 329, 257, 11702, 3645, 286, 18451, 18461, 287, 4637, 351, 281, 23557, 2008, 10386, 13, 554, 2932, 1853, 11, 5511, 531, 11, 366, 40, 11, 329, 530, 11, 836, 470, 892, 18451, 18461, 10783, 284, 651, 257, 26369, 2644, 843, 326, 338, 262, 3580, 780, 484, 821, 407, 1682, 1804, 1466, 338, 1535, 2428, 13, 1119, 821, 2950, 287, 1223, 835, 1180, 621, 326, 526, 383, 2669, 2947, 366, 29054, 6822, 263, 1, 5721, 531, 326, 428, 2643, 373, 257, 366, 9562, 1624, 1, 290, 366, 8071, 1473, 11491, 553, 290, 7793, 29660, 13178, 340, 366, 47, 1187, 319, 3764, 553, 351, 1111, 10820, 326, 18451, 18461, 3769, 257, 3094, 7177, 286, 1466, 338, 1535, 2594, 13, 198, 198, 818, 3267, 1853, 11, 5511, 531, 319, 5426, 3000, 3502, 326, 339, 6886, 25136, 866, 262, 1230, 287, 281, 2230, 284, 47613, 18451, 18461, 11, 355, 617, 11702, 4734, 423, 7121, 329, 13, 5511, 5081, 25, 366, 2504, 338, 407, 703, 7996, 2499, 526, 198, 198, 1722, 8153, 286, 4744, 11, 5511, 973, 465, 1627, 12, 9186, 18860, 284, 11005, 4918, 329, 18451, 18461, 29116, 287, 4744, 11, 543, 550, 4271, 973, 1181, 5153, 284, 2148, 20461, 895, 4127, 11, 11363, 18307, 4369, 14135, 290, 3513, 11, 290, 1641, 5410, 2594, 284, 3595, 1466, 13, 5511, 45158, 883, 5153, 284, 40683, 12, 8807, 1714, 3707, 4056, 13, 198, 198, 35191, 2533, 876, 2223, 198, 818, 1903, 1853, 11, 5511, 28275, 281, 4640, 1502, 326, 339, 4884, 355, 8153, 286, 4744, 543, 3614, 27990, 2223, 13, 220, 554, 3389, 7358, 11, 355, 8153, 286, 4744, 11, 5511, 4884, 257, 366, 50, 415, 6, 32, 1203, 28092, 318, 257, 2409, 78, 4188, 3918, 11, 7993, 7835, 28830, 4928, 5140, 319, 33356, 3125, 33955, 11, 8854, 14, 32, 287, 347, 411, 33743, 11, 3814, 286, 28503, 39124, 11, 8031, 13, 198, 198, 18122, 198, 464, 717, 4928, 379, 262, 2524, 373, 9393, 287, 12279, 18, 11, 15909, 284, 257, 4436, 11, 416, 262, 1315, 400, 12, 14792, 340, 550, 587, 7520, 284, 262, 3116, 578, 45805, 13, 383, 4928, 373, 42938, 4111, 287, 1478, 2791, 11, 788, 30080, 287, 2409, 78, 4188, 3918, 287, 1596, 5705, 11, 475, 262, 43562, 373, 691, 5668, 416, 1248, 6420, 13, 317, 29420, 318, 1944, 287, 262, 6616, 287, 2166, 13, 198, 198, 14311, 262, 11087, 5988, 5117, 8535 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2311, 1533, 2040, 68, 1966, 44185, 508, 2826, 355, 257, 13191, 13, 198, 198, 19927, 198, 198, 42246, 27244, 198, 36376, 661, 198, 10445, 1533, 2040, 68, 4346, 364, 198, 18153, 15332, 422, 11775, 283, 198, 8021, 41003, 4346, 16355, 198, 43, 1921, 42, 1938, 198, 10445, 1533, 2040, 68, 1033, 26646, 378, 4346, 364, 198, 3109, 8071, 380, 378, 4346, 364, 287, 17322, 198, 10445, 1533, 2040, 68, 1033, 26646, 378, 5701, 15332, 287, 17322, 198, 11024, 5510, 5454, 286, 7973, 1938, 198, 10445, 39839, 3230, 4346, 364, 464, 11739, 290, 11739, 17113, 578, 49340, 318, 257, 9566, 41013, 14999, 379, 4974, 17113, 578, 3530, 287, 262, 1748, 286, 2409, 260, 11, 16033, 13, 220, 28477, 287, 26539, 11, 340, 318, 257, 4071, 16997, 1672, 286, 257, 36954, 41013, 14999, 11, 257, 2739, 3918, 286, 41013, 7587, 6841, 13, 220, 383, 11739, 290, 11739, 5834, 373, 2067, 416, 262, 1989, 338, 717, 2679, 7971, 11, 290, 12228, 1566, 9507, 13, 220, 383, 2615, 783, 7777, 257, 1729, 12, 9183, 290, 3650, 326, 1128, 333, 4832, 290, 15092, 5427, 2615, 5696, 13, 220, 632, 373, 5610, 319, 262, 2351, 17296, 286, 30426, 37291, 287, 2813, 13, 198, 198, 11828, 290, 2106, 198, 464, 11739, 290, 11739, 17113, 578, 49340, 6296, 319, 262, 26015, 1735, 286, 17113, 578, 3530, 11, 1973, 262, 24337, 8339, 422, 9436, 2409, 260, 13, 220, 383, 14999, 10874, 286, 257, 890, 36954, 2060, 12, 13571, 4898, 12, 14535, 4645, 11, 25921, 47190, 284, 262, 4675, 11, 284, 543, 257, 1271, 286, 19885, 290, 5884, 8573, 423, 587, 2087, 13, 220, 383, 1388, 4645, 318, 220, 890, 290, 220, 3094, 11, 290, 318, 5017, 416, 257, 308, 4510, 9753, 351, 257, 4097, 286, 1190, 2118, 652, 9168, 13, 220, 14307, 428, 4645, 290, 262, 4675, 318, 281, 7223, 2607, 2615, 17728, 257, 8268, 3524, 7034, 284, 262, 4675, 11, 290, 284, 663, 1364, 318, 257, 220, 933, 12754, 14999, 12, 305, 1659, 2615, 13, 220, 29949, 306, 37720, 866, 262, 4129, 286, 262, 1388, 4645, 318, 257, 37298, 2665, 284, 262, 826, 13, 220, 554, 262, 6763, 482, 2727, 416, 428, 20128, 318, 257, 890, 308, 4510, 2615, 11, 543, 318, 5884, 284, 262, 1388, 14999, 416, 257, 5328, 831, 13, 198, 198, 464, 1388, 14999, 373, 3170, 287, 26539, 11, 13586, 281, 4697, 45334, 5069, 2577, 12, 16760, 41013, 14999, 13, 220, 383, 11739, 290, 11739, 5834, 11, 663, 27098, 11, 373, 4920, 287, 46244, 416, 1866, 286, 262, 11739, 1641, 11, 2679, 7971, 508, 550, 7525, 587, 6953, 22896, 3161, 284, 2406, 284, 16033, 13, 220, 770, 1382, 373, 3562, 284, 15570, 262, 3356, 286, 41013, 1141, 663, 13389, 422, 8246, 2587, 284, 5201, 2134, 11, 6032, 27316, 19736, 13, 220, 6363, 1486, 1718, 4621, 286, 262, 2478, 286, 262, 16965, 11300, 7696, 41175, 11, 543, 714, 307, 973, 284, 1445, 4334, 41013, 7021, 1626, 257, 36954, 6841, 13, 220, 357, 464, 2180, 45334, 5069, 2577, 12, 16760, 6841, 373, 1113, 3711, 416, 257, 49714, 12, 21820, 4587, 5557, 41175, 351, 257, 14166, 11, 543, 3888, 262, 7021, 422, 14820, 24337, 5006, 284, 3006, 286, 262, 2615, 1626, 2837, 286, 262, 14166, 2014, 220, 383, 2615, 3767, 284, 307, 973, 329, 41013, 7587, 357, 8499, 15408, 416, 257, 22435, 286, 1180, 4393, 8, 1566, 3717, 13, 220, 632, 783, 7777, 797, 47690, 11, 257, 1957, 1729, 12, 9183, 326, 1128, 333, 4832, 15863, 2615, 5696, 290, 3769, 1693, 3047, 290, 584, 4056, 13, 198, 198, 6214, 635, 198, 2351, 17296, 286, 30426, 37291, 26890, 287, 2669, 3418, 11, 16033, 198, 412, 13, 406, 13, 4176, 10485, 4803, 17113, 578, 49340, 25, 23057, 14082, 5610, 41013, 14999, 635, 287, 2409, 260, 11, 16033, 198, 35193, 338, 36143, 9212, 25, 23057, 14082, 5610, 41013, 3939, 287, 46884, 11, 10140, 198, 198, 19927, 198, 198, 41506, 6117, 198, 3041, 47690, 16033, 3992, 2524, 198, 198, 16010, 12, 7437, 3968, 198, 35848, 4454, 6832, 290, 8573, 319, 262, 2351, 17296, 286, 30426, 37291, 287, 16033, 198, 16186, 17296, 286, 30426, 37291, 287, 2669, 3418, 11, 16033, 198, 15580, 654, 290, 8573, 5668, 287, 26539, 198, 15580, 654, 290, 8573, 287, 2409, 260, 357, 19205, 828, 16033, 198, 38, 2596, 578, 2706, 198, 33, 9624, 11, 16033, 45, 9586, 6866, 5767, 357, 6286, 1596, 3389, 11104, 8, 318, 257, 17807, 717, 12, 4871, 1067, 624, 2357, 508, 5341, 329, 2351, 5018, 286, 7648, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 198, 25475, 27244, 198, 36376, 661, 198, 29675, 16688, 1067, 624, 7307, 198, 41428, 315, 3301, 8329, 6289, 1067, 624, 7307, 198, 16186, 5018, 286, 7648, 1067, 624, 7307, 198, 50, 498, 74, 313, 1067, 624, 7307, 198, 34, 5557, 7307, 422, 311, 498, 74, 313, 49021, 2185, 620, 388, 318, 257, 19812, 2095, 12655, 287, 1605, 9048, 3835, 3199, 416, 9923, 15650, 13, 554, 465, 2656, 9048, 1492, 11057, 11, 339, 318, 18904, 355, 262, 3956, 286, 23987, 2185, 620, 388, 290, 262, 7711, 286, 14087, 2185, 620, 388, 13, 198, 198, 49021, 373, 19152, 416, 4186, 12903, 746, 4364, 287, 262, 9923, 21932, 1512, 11950, 5581, 2168, 7931, 23733, 11, 810, 12150, 318, 262, 3956, 286, 14087, 290, 318, 23987, 447, 247, 82, 3367, 13, 198, 198, 15202, 341, 2106, 198, 198, 49021, 2185, 620, 388, 717, 4120, 287, 9923, 44151, 1303, 1129, 11, 2727, 416, 9048, 1492, 8786, 15115, 4270, 24421, 290, 13633, 367, 1689, 13, 198, 198, 37, 47273, 2095, 26444, 198, 49021, 2185, 620, 388, 318, 262, 3956, 286, 23987, 2185, 620, 388, 11, 262, 6123, 286, 8790, 12, 5308, 620, 388, 3457, 13, 2293, 7931, 23733, 373, 13772, 329, 262, 1918, 286, 23987, 357, 8727, 373, 2923, 416, 257, 37049, 1908, 416, 5599, 11356, 828, 12150, 290, 465, 41803, 11, 14087, 2185, 620, 388, 11, 9657, 25239, 284, 1494, 683, 13, 198, 198, 49021, 717, 9657, 7851, 30177, 284, 651, 15827, 319, 7931, 23733, 13, 14444, 284, 12150, 338, 898, 4301, 8787, 11, 7851, 30177, 5081, 326, 339, 3521, 470, 670, 329, 683, 13, 2293, 11226, 510, 12150, 338, 1767, 33427, 290, 4305, 12150, 6776, 11, 7851, 30177, 4893, 326, 465, 5057, 284, 14087 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 14396, 357, 42751, 8, 198, 1925, 506, 14396, 46892, 3281, 261, 4429, 198, 198, 19927, 198, 198, 13518, 3555, 198, 35, 579, 1424, 11, 10301, 263, 13, 2258, 4969, 338, 20830, 25, 19034, 7291, 11, 5387, 8573, 290, 2170, 2649, 13, 5395, 78, 623, 648, 11, 1946, 13, 198, 198, 41506, 6117, 198, 198, 14941, 7034, 286, 17960, 14396, 198, 198, 34, 871, 287, 2258, 9485, 506, 272, 54, 26861, 743, 3522, 284, 25, 628, 14331, 276, 2811, 1575, 286, 3139, 198, 2159, 48576, 25774, 10749, 198, 2159, 5396, 329, 4302, 26117, 198, 370, 26861, 357, 2390, 828, 257, 5243, 4429, 357, 48341, 3001, 8, 11971, 284, 367, 498, 4617, 11, 4744, 11, 1578, 1829, 198, 370, 26861, 12, 19930, 11, 257, 1877, 12, 6477, 5243, 4429, 357, 15982, 13, 22, 18695, 8, 11971, 284, 2039, 3245, 11, 14493, 11, 1578, 1829, 35, 21356, 65, 4108, 64, 318, 257, 7404, 290, 27264, 287, 7455, 457, 709, 8135, 127, 121, 17722, 377, 6557, 32790, 5665, 287, 262, 25370, 121, 346, 1437, 17718, 286, 7840, 36839, 13, 198, 198, 18122, 198, 818, 6754, 4406, 262, 7404, 373, 717, 4750, 287, 1511, 4761, 13, 198, 198, 10082, 4867, 198, 464, 27264, 7363, 379, 281, 20334, 286, 718, 2623, 18985, 290, 8698, 281, 1989, 286, 2242, 13, 24591, 1849, 13276, 31185, 13, 632, 468, 257, 3265, 286, 546, 36058, 661, 13, 198, 198, 39358, 11794, 605, 4133, 198, 198, 464, 4406, 329, 9779, 11794, 605, 2267, 389, 1695, 379, 262, 1181, 15424, 366, 17126, 3281, 5579, 452, 287, 1709, 265, 3044, 4170, 11, 39535, 4914, 2750, 301, 30997, 11, 2750, 83, 6888, 11, 18884, 501, 11, 16042, 11216, 11, 24282, 430, 11, 1763, 709, 11, 36839, 1, 628, 7993, 7835, 4928, 4406, 357, 24280, 82, 14, 3876, 16451, 14, 22595, 82, 2599, 1596, 1495, 12, 1507, 4846, 357, 1845, 680, 347, 8, 198, 43772, 4928, 4406, 357, 24280, 82, 14, 3876, 16451, 14, 22595, 82, 2599, 1596, 5999, 12, 1507, 3865, 357, 1845, 680, 347, 8, 198, 198, 6214, 635, 198, 7343, 286, 29364, 290, 11684, 287, 36839, 198, 198, 41506, 6117, 198, 5450, 1378, 12384, 13, 17474, 13, 2398, 14, 12384, 14, 12726, 1065, 17279, 1795, 29211, 14, 4023, 1378, 2503, 13, 14269, 3969, 13, 8135, 14, 16785, 25413, 14, 1516, 14, 5143, 13, 6494, 198, 14812, 3052, 357, 259, 26613, 461, 8, 198, 50, 700, 1047, 286, 2877, 661, 287, 10322, 4108, 64, 198, 198, 42074, 1095, 290, 29364, 287, 7455, 457, 709, 8135, 127, 121, 17722, 377, 6557, 32790, 5665, 7571, 8111, 8565, 7937, 423, 5281, 262, 1438, 44247, 41460, 349, 385, 11, 706, 198, 1169, 7850, 287, 543, 11, 1864, 284, 8177, 11, 2677, 7215, 292, 18989, 465, 2832, 284, 41905, 2241, 286, 262, 10861, 3638, 13, 628, 383, 717, 220, 373, 257, 1216, 10055, 3170, 287, 1248, 1485, 326, 373, 26969, 3411, 276, 287, 1248, 1558, 13, 198, 383, 1218, 220, 373, 257, 220, 3170, 287, 46723, 290, 2702, 329, 15881, 287, 35369, 13, 198, 198, 41861, 8565, 4074, 3891, 3646, 391, 1177, 318, 281, 555, 1939, 40132, 2055, 287, 10805, 3418, 11, 7859, 11, 1578, 1829, 11, 5140, 6702, 1115, 4608, 422, 14909, 13, 198, 198, 18122, 220, 198, 3646, 391, 1177, 468, 15074, 587, 257, 16035, 2055, 13, 28847, 1177, 4909, 28847, 1177, 21724, 4564, 290, 28847, 1177, 21724, 4564, 35637, 13, 198, 198, 818, 15533, 290, 29300, 8148, 11, 6802, 44275, 26414, 290, 6260, 24238, 26414, 547, 4642, 287, 28847, 1177, 13, 198, 198, 818, 19322, 11, 7092, 36000, 3199, 281, 2708, 546, 262, 9793, 286, 4346, 284, 28847, 1177, 13, 198, 198, 818, 13521, 11, 262, 5617, 3078, 286, 7859, 262, 24816, 262, 11375, 286, 257, 1048, 9118, 286, 262, 5123, 290, 6936, 18609, 286, 1757, 39233, 11, 508, 373, 257, 16918, 3650, 10088, 287, 28847, 1177, 13, 198, 198, 45533, 661, 220, 628, 44275, 26414, 357, 1129, 1270, 1906, 13330, 828, 34537, 290, 3601, 10297, 198, 24238, 26414, 357, 1129, 2682, 1906, 24529, 828, 37986, 198, 198, 19927, 220, 198, 198, 3118, 1939, 40132, 5348, 287, 10805, 3418, 11, 7859, 198, 3118, 1939, 40132, 5348, 287, 7859, 357, 52, 13, 50, 13, 1181, 8, 34, 4160, 37646, 357, 272, 37646, 326, 9179, 262, 7633, 8, 743, 3522, 284, 262, 25, 198, 314, 293, 420, 4160, 37646, 198, 6498, 951, 291, 37646, 198, 6046, 951, 291, 37646, 198, 9578, 951, 291, 37646, 198, 198, 464, 717, 1115, 389, 13737, 286, 262, 9098, 18842, 9255, 291, 37646, 26, 262, 5544, 318, 257, 8478, 286, 262, 18536, 18842, 9255, 291, 37646, 13, 11006, 4767, 18657, 488, 911, 83, 14226, 3900, 357, 26, 275, 13, 220, 10511, 270, 296, 343, 11, 288, 13, 1737, 352, 11, 21794, 9070, 8, 373, 257, 13053, 12, 6286, 3394, 34537, 290, 13028, 6802, 13, 198, 198, 14662, 198, 28524, 284, 257, 5582, 1641, 287, 10511, 270, 296, 343, 11, 7049, 11, 911, 83, 14226, 3900, 9713, 1242, 287, 10529, 21411, 290, 788, 422, 40538, 12, 1129, 1065, 1912, 2241, 287, 6342, 810, 339, 9713, 351, 11, 12077, 1854, 11, 509, 2841, 5719, 28831, 268, 13, 198, 1544, 9713, 379, 262, 7116, 2634, 44871, 569, 715, 72, 287, 6342, 13, 198, 1544, 373, 12824, 416, 262, 2499, 286, 3362, 327, 2634, 38395, 290, 416, 7070, 1042, 13, 220, 198, 198, 1544, 925, 1441, 11864, 284, 3284, 475, 750, 407, 12259, 612, 1566, 706, 262, 9303, 286, 24168, 11, 618, 339, 373, 4855, 416, 465, 35552, 19948, 620, 945, 2584, 11, 508, 373, 262, 4380, 338, 1520, 747, 283, 4497, 329, 3968, 13, 679, 9141, 262, 8785, 286, 46665, 11, 37599, 290, 29200, 319, 11113, 351, 262, 7570, 5070, 379, 262, 2439, 349, 3281, 15301, 220, 287, 36863, 9744, 357, 1273, 13, 47, 7307, 7423, 8, 351, 18106, 12344, 805, 290, 1854, 764, 554, 24168, 532, 1129, 1507, 339, 373, 257, 1520, 747, 283, 329, 3683, 2569, 30587, 13, 554, 25859, 339, 550, 281, 17127, 351, 262, 1448, 5582, 7023, 329, 262, 7735, 278, 286, 262, 11536, 1978, 351, 2409, 272, 2364, 12, 38328, 500, 11, 12344, 805, 11, 290, 406, 747, 4224, 2584, 11, 287, 9070, 13, 3574, 25859, 284, 14062, 339, 373, 262, 7123, 286, 262 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 732, 481, 3785, 428, 503, 764, 5832, 24486, 299, 470, 2666, 764, 72, 24486, 299, 470, 1309, 345, 764, 10148, 15506, 612, 705, 82, 1223, 1312, 815, 1560, 345, 764, 10755, 502, 764, 1820, 1693, 764, 5832, 1244, 1487, 534, 2000, 546, 502, 764, 10148, 7091, 23246, 262, 8171, 286, 607, 7660, 1863, 465, 26370, 388, 764, 15506, 1312, 531, 1312, 373, 299, 470, 257, 26769, 290, 326, 1724, 1336, 13019, 837, 772, 546, 428, 764, 1169, 1243, 1312, 750, 837, 12361, 1243, 837, 284, 2193, 546, 534, 12, 10148, 7559, 1312, 1297, 345, 878, 837, 474, 1531, 837, 326, 534, 1693, 12, 10148, 257, 279, 648, 18750, 832, 465, 1182, 837, 3313, 9532, 683, 837, 30047, 683, 286, 644, 550, 3022, 706, 339, 705, 67, 8350, 262, 267, 34239, 994, 287, 428, 845, 4136, 764, 1169, 976, 4136, 339, 705, 67, 717, 10785, 422, 474, 1531, 764, 35436, 837, 788, 4756, 465, 2951, 287, 257, 649, 4067, 764, 258, 44397, 1513, 764, 10919, 373, 2644, 5633, 29214, 279, 648, 837, 428, 530, 27263, 1359, 465, 3632, 1028, 465, 14511, 764, 1169, 17186, 4769, 465, 9846, 290, 7883, 373, 37550, 837, 1643, 416, 1643, 764, 15506, 644, 705, 82, 2642, 5633, 10148, 73, 1531, 44828, 284, 607, 22662, 290, 32746, 704, 465, 4190, 422, 465, 4772, 837, 607, 5408, 2705, 290, 29763, 516, 351, 2328, 764, 15506, 389, 345, 6639, 5633, 10148, 372, 10825, 547, 287, 26962, 837, 1865, 673, 3350, 7263, 607, 898, 4786, 284, 43414, 683, 764, 3919, 4240, 339, 705, 67, 9292, 329, 607, 523, 2952, 290, 523, 3538, 764, 15506, 7722, 534, 2910, 795, 30132, 502, 355, 1239, 878, 837, 10148, 339, 25623, 837, 7559, 475, 355, 517, 286, 616, 9846, 290, 7883, 6654, 837, 1312, 1998, 257, 2644, 43671, 1310, 25394, 286, 18098, 764, 10148, 10197, 355, 339, 5158, 837, 530, 286, 883, 7559, 43671, 1310, 279, 45457, 10148, 40227, 422, 465, 1182, 284, 465, 7721, 837, 290, 339, 465, 36622, 257, 8033, 764, 5562, 530, 550, 587, 7387, 621, 597, 286, 262, 1854, 764, 15506, 11752, 837, 9200, 349, 1872, 764, 2197, 1312, 760, 1521, 345, 547, 18416, 284, 4144, 422, 502, 764, 72, 705, 76, 523, 7926, 1312, 925, 345, 764, 10148, 15506, 1312, 705, 76, 407, 764, 392, 345, 750, 299, 470, 787, 502, 837, 474, 1531, 764, 72, 2227, 284, 764, 14774, 306, 764, 65, 11788, 837, 326, 318, 299, 470, 1521, 764, 42949, 345, 5448, 764, 10148, 64, 2128, 286, 14285, 764, 15506, 783, 345, 705, 260, 1804, 644, 345, 531, 345, 561, 299, 470, 837, 290, 44889, 2495, 2456, 284, 787, 502, 3772, 764, 10148, 29214, 279, 648, 837, 1194, 45836, 764, 15506, 644, 460, 1312, 466, 5633, 65, 11788, 1239, 3745, 345, 757, 5633, 10148, 15506, 2652, 351, 502, 764, 392, 345, 481, 3745, 502, 757, 764, 10148, 16833, 1110, 329, 28989, 764, 15506, 428, 481, 1208, 764, 10148, 15506, 1312, 705, 297, 2652, 837, 10148, 673, 25029, 764, 15506, 466, 299, 470, 5490, 764, 392, 837, 9200, 349, 1872, 837, 356, 705, 303, 1239, 6619, 546, 616, 1693, 878, 764, 10148, 15506, 356, 423, 299, 470, 5633, 5832, 30066, 2644, 42107, 2644, 10148, 644, 1611, 290, 319, 508, 547, 9373, 2641, 465, 2000, 837, 475, 339, 373, 1719, 5876, 8978, 262, 1321, 764, 1169, 3124, 29738, 422, 607, 1986, 764, 15506, 326, 705, 82, 826, 764, 392, 345, 991, 588, 502, 5633, 10148, 15506, 474, 1531, 2644, 10148, 7559, 3763, 837, 286, 1781, 764, 732, 705, 297, 2112, 340, 618, 345, 705, 260, 1365, 764, 10148, 64, 14985, 764, 8524, 257, 25029, 837, 7559, 714, 356, 423, 6619, 287, 616, 26096, 5633, 24089, 1312, 423, 11564, 10275, 5633, 24089, 4232, 5536, 373, 973, 319, 345, 30182, 656, 502, 5633, 10148, 7091, 373, 3375, 284, 5223, 837, 2111, 284, 1738, 1243, 503, 764, 15506, 3763, 837, 10148, 339, 8712, 837, 6949, 764, 15506, 612, 705, 82, 257, 2863, 764, 10148, 15506, 7926, 837, 7926, 764, 72, 705, 297, 307, 5897, 764, 5832, 1334, 764, 10148, 2213, 32620, 607, 837, 339, 4838, 465, 2951, 837, 39545, 6364, 837, 7744, 837, 290, 2391, 1309, 262, 9846, 1282, 764, 1169, 717, 284, 2277, 683, 373, 286, 257, 2495, 25920, 12703, 8218, 465, 14043, 764, 722, 274, 35776, 4335, 355, 465, 17841, 7194, 607, 764, 258, 750, 299, 470, 760, 607, 1438, 837, 691, 326, 339, 705, 67, 13541, 379, 607, 2961, 326, 1110, 837, 290, 673, 705, 67, 2077, 326, 8212, 329, 262, 17023, 340, 373, 764, 258, 373, 9105, 319, 465, 33388, 286, 46336, 37246, 27400, 837, 12105, 837, 4953, 764, 7091, 18818, 355, 673, 10448, 683, 764, 3137, 878, 673, 4251, 683, 837, 262, 3420, 4721, 290, 4838, 757, 764, 258, 3114, 764, 29214, 25920, 764, 1169, 1115, 286, 606, 547, 1016, 284, 711, 764, 11274, 764, 258, 550, 299, 470, 3114, 2651, 284, 257, 1755, 351, 691, 530, 837, 257, 2060, 29179, 1165, 2562, 764, 18820, 2644, 14262, 764, 258, 2622, 284, 1949, 1223, 649, 764, 14363, 2000, 427, 798, 1497, 422, 326, 1948, 4088, 764, 27078, 837, 339, 1244, 423, 587, 2045, 329, 517, 621, 530, 5212, 379, 257, 640, 764, 27078, 837, 339, 1244, 423, 2227, 284, 1949, 1997, 290, 2279, 764, 392, 326, 530, 837, 339, 991, 2227, 764, 4480, 474, 1531, 764, 258, 2227, 284, 466, 2279, 351, 607, 837, 475, 691, 351, 607, 764, 37814, 484, 750, 373, 257, 649, 1998, 764, 41194, 1780, 837, 290, 749, 286, 477, 837, 5848, 48883, 764, 5562, 373, 299, 470, 1016, 284, 1487, 764, 7091, 5676, 683, 1165, 7744, 837, 1165, 31146, 764, 392, 673, 550, 299, 470, 550, 881, 9476, 287, 607, 1204, 837, 339, 750, 299, 470, 892, 764, 16833, 649, 3638, 422, 683, 550, 1364, 607, 3623, 13886, 837, 1319, 44556, 837, 607, 5408, 530, 286, 4240, 290, 761, 764, 258, 2227, 607, 284, 5806, 326, 5408, 8097, 764, 19188, 766, 284, 340, 837, 787, 340, 257, 2614, 4365, 286, 465, 764, 392, 644, 673, 714, 466, 351, 607, 5422, 2644, 326, 373, 5536, 764, 21953, 1108, 6451, 3214, 625, 465, 2000, 837, 3950, 5033, 1598, 764, 258, 2936, 474, 1531, 705, 82, 2705, 9353, 837, 991 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 128, 225, 84, 422, 1248, 3134, 284, 1248, 3388, 198, 440, 1455, 10592, 312, 18198, 41662, 89, 7637, 29716, 11, 3394, 920, 296, 7451, 508, 2041, 1417, 287, 11768, 32563, 64, 198, 31096, 41662, 89, 7637, 452, 15688, 11, 13053, 28278, 464, 12131, 1906, 2481, 10769, 5811, 24619, 10029, 1622, 373, 262, 3430, 338, 717, 287, 262, 2351, 13362, 15872, 5396, 290, 717, 355, 257, 4708, 1074, 13, 198, 198, 29064, 220, 198, 14291, 281, 3586, 287, 2739, 2901, 12131, 11, 10769, 5811, 24619, 10029, 373, 6848, 656, 262, 2351, 13362, 15872, 5396, 319, 3267, 1511, 11, 12131, 13, 383, 1074, 550, 4271, 587, 1866, 287, 16861, 884, 355, 262, 1578, 9952, 15872, 4041, 11, 810, 340, 1816, 41445, 290, 1839, 257, 2260, 12184, 287, 2121, 13130, 11, 290, 262, 2351, 9952, 15872, 4041, 13, 14481, 284, 8720, 9679, 399, 22312, 11, 10769, 32440, 287, 262, 26851, 399, 22312, 13362, 5454, 355, 257, 2888, 286, 262, 399, 3705, 43, 290, 1718, 636, 355, 257, 2888, 286, 262, 7215, 12, 41120, 17718, 13, 12032, 11, 262, 1074, 2826, 257, 8030, 1028, 399, 22312, 2888, 45851, 10029, 1708, 262, 7664, 286, 262, 2121, 13130, 1622, 13, 198, 198, 2202, 2932, 1478, 11, 12131, 10769, 635, 5399, 287, 262, 8345, 9952, 15872, 4041, 11, 281, 18585, 4652, 17375, 286, 399, 22312, 11, 290, 2540, 43985, 257, 11515, 1074, 287, 340, 287, 6076, 33448, 13, 198, 198, 2202, 2805, 1987, 11, 33448, 11, 1966, 19398, 1466, 338, 2260, 4346, 1074, 4706, 17100, 6762, 33320, 84, 373, 3706, 1182, 3985, 329, 33448, 13, 198, 198, 49, 6197, 198, 198, 24860, 198, 198, 31449, 198, 198, 8291, 69, 364, 198, 198, 818, 198, 198, 23331, 13508, 198, 198, 7293, 316, 1756, 198, 198, 45, 22312, 13362, 5454, 220, 198, 198, 22442, 284, 9679, 399, 22312, 11, 262, 5811, 24619, 547, 3414, 355, 530, 286, 262, 1367, 1729, 12, 562, 41003, 3466, 2263, 636, 287, 262, 26851, 399, 22312, 13362, 5454, 319, 2901, 352, 13, 383, 7915, 7756, 13134, 355, 1111, 257, 662, 12, 6230, 290, 2863, 284, 366, 15234, 485, 257, 3859, 329, 4708, 290, 18585, 4795, 9784, 284, 711, 1978, 319, 257, 2260, 3800, 526, 198, 198, 24119, 1044, 373, 7428, 656, 262, 7215, 12, 41120, 17718, 7848, 262, 968, 1971, 39972, 11, 399, 22312, 7118, 1735, 968, 24377, 10029, 11, 290, 5891, 399, 3705, 43, 1735, 10029, 10346, 1951, 418, 13, 198, 198, 2202, 2901, 1987, 11, 399, 22312, 3414, 326, 262, 7215, 12, 41120, 17718, 7756, 373, 33922, 2233, 284, 257, 13853, 286, 7375, 11008, 12, 1129, 2663, 287, 10769, 290, 262, 8840, 9605, 286, 262, 10769, 15872, 46383, 284, 4708, 5701, 13, 1550, 2901, 2579, 11, 399, 22312, 3414, 257, 3741, 286, 262, 3814, 338, 1830, 561, 307, 2826, 379, 10776, 14809, 7092, 11141, 287, 1004, 274, 7423, 11, 6025, 13, 14207, 257, 6193, 21826, 49844, 326, 4137, 262, 5811, 9246, 338, 2457, 983, 284, 307, 2826, 379, 257, 8500, 2524, 11, 262, 1074, 1839, 262, 7215, 12, 41120, 17718, 3670, 319, 3267, 838, 618, 262, 39972, 290, 10029, 10346, 2826, 284, 257, 362, 1906, 17, 3197, 5086, 10769, 284, 5461, 20156, 262, 3084, 2884, 3061, 22577, 13, 198, 198, 15480, 654, 198, 198, 19044, 2052, 198, 198, 42334, 7218, 7369, 220, 198, 198, 24243, 3307, 329, 262, 399, 22312, 7218, 12131, 1622, 547, 2716, 319, 2795, 604, 11, 12131, 13, 10769, 750, 407, 1011, 636, 287, 262, 2121, 287, 281, 1743, 5339, 13, 198, 198, 1238, 2481, 8225, 7369, 198, 198, 45, 22312, 14270, 5454, 220, 198, 45, 22312, 3414, 4238, 6076, 1622, 3352, 287, 1903, 3945, 33448, 11, 1390, 3599, 262, 1622, 351, 257, 7756, 287, 45851, 11, 11287, 351, 257, 3210, 3218, 1622, 284, 1061, 13, 383, 7756, 11, 783, 1444, 262, 399, 22312, 14270, 5454, 11, 373, 8720, 3414, 319, 2805, 838, 290, 318, 7530, 284, 1057, 1022, 3035, 1511, 290, 1679, 13, 1439, 5193, 399, 22312, 1866, 3466, 2263, 636, 287, 262, 8225, 547, 9086, 656, 1115, 1074, 2628, 290, 2826, 257, 2835, 3857, 259, 7269, 13, 383, 4511, 12560, 1448, 8464, 6338, 10617, 329, 262, 7756, 2457, 11, 981, 262, 1218, 290, 2368, 4511, 12848, 3466, 4045, 2826, 530, 12, 29214, 287, 257, 32948, 1292, 284, 5004, 257, 1218, 2457, 396, 13, 198, 198, 464, 5811, 24619, 547, 7428, 656, 4912, 352, 7848, 7055, 10271, 10029, 290, 262, 8024, 2986, 9500, 43785, 10029, 13, 198, 198, 15480, 654, 198, 198, 13247, 352, 2482, 198, 198, 19044, 2052, 198, 198, 40164, 1622, 220, 198, 464, 8225, 7369, 7269, 373, 3414, 319, 2805, 1248, 351, 1123, 8112, 2888, 2712, 3624, 1830, 11, 1440, 1363, 290, 1440, 1497, 11, 287, 257, 2060, 2835, 12, 305, 8800, 5794, 13, 198, 198, 15480, 654, 198, 198, 25468, 10638, 198, 198, 19044, 2052, 198, 198, 52, 13, 50, 13, 4946, 5454, 220, 198, 198, 1722, 257, 1074, 2712, 287, 257, 8018, 4708, 4652, 11, 10769, 561, 7685, 307, 6338, 10617, 329, 262, 471, 13, 50, 13, 4946, 5454, 13, 2102, 11, 351, 262, 33448, 8313, 1790, 276, 2233, 284, 262, 7375, 11008, 12, 1129, 19798, 5314, 11, 399, 22312, 468, 691, 587, 44554, 352, 284, 362, 3466, 10222, 13, 1550, 2805, 2808, 11, 471, 13, 50, 13, 15872, 3414, 12131, 7218, 15869, 8488, 2254, 10029, 355, 399, 22312, 338, 8852, 287, 262, 7756, 13, 198, 198, 22266, 324, 7869, 198, 198, 47569, 290, 4661, 220, 198, 198, 91, 12, 198, 0, 951, 12626, 2625, 1415, 1, 3918, 2625, 25249, 43922, 67, 10210, 10210, 66, 26, 2420, 12, 31494, 25, 16159, 1, 91, 25376, 24952, 198, 198, 91, 12, 198, 0, 951, 12626, 2625, 1415, 1, 3918, 2625, 25249, 43922, 67, 10210, 10210, 66, 26, 2420, 12, 31494, 25, 16159, 1, 91, 26983, 198, 198, 91, 12, 198, 0, 951, 12626, 2625, 1415, 1, 3918, 2625, 25249, 43922, 67, 10210, 10210, 66, 26, 2420, 12, 31494, 25, 16159, 1, 91, 7215, 3245, 364, 198, 198, 91, 12, 198, 0, 951, 12626, 2625, 1415, 1, 3918, 2625, 25249, 43922, 67, 10210, 10210, 66, 26, 2420, 12, 31494, 25, 16159, 1, 91, 1114, 2017, 198, 198, 91, 12, 198, 0, 951, 12626, 2625, 1415, 1, 3918, 2625, 25249, 43922 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 15506, 407, 379, 477, 764, 70, 21006, 837, 307, 8161, 837, 3387, 764, 72, 12, 10148, 339, 3114, 1497, 290, 25155, 764, 15506, 1312, 460, 407, 4425, 345, 764, 4598, 345, 1833, 5633, 10148, 10414, 1484, 416, 262, 4802, 5938, 673, 2497, 287, 465, 2951, 837, 673, 14464, 290, 2921, 683, 837, 262, 1049, 17481, 837, 257, 1090, 34293, 764, 15506, 1312, 481, 307, 3338, 764, 72, 6991, 764, 10148, 15506, 5875, 345, 764, 10148, 15506, 922, 3847, 837, 19177, 764, 10148, 15506, 922, 3847, 837, 616, 1310, 2266, 2644, 10148, 465, 2951, 6364, 4838, 355, 465, 1767, 3214, 1028, 262, 3996, 764, 70, 21006, 12703, 10764, 503, 656, 262, 6899, 290, 925, 607, 835, 866, 262, 16046, 837, 7725, 290, 26002, 326, 607, 2366, 805, 550, 550, 1576, 922, 2565, 284, 7808, 607, 25739, 1752, 262, 1711, 6348, 2739, 764, 40716, 2759, 837, 618, 673, 1625, 1088, 262, 2156, 837, 673, 6810, 683, 5586, 1474, 262, 736, 286, 262, 17523, 705, 10384, 764, 15506, 1363, 837, 3387, 837, 10148, 673, 3414, 764, 258, 14464, 290, 4438, 465, 3211, 764, 15506, 1312, 1718, 262, 12354, 286, 2263, 262, 25739, 1363, 290, 6155, 994, 3589, 618, 262, 1711, 6348, 2739, 837, 616, 10846, 764, 72, 2911, 345, 466, 407, 2000, 837, 475, 1312, 481, 27675, 345, 319, 262, 1790, 2513, 284, 534, 6621, 705, 82, 11566, 764, 10148, 10594, 1789, 550, 587, 287, 262, 2139, 286, 511, 1641, 329, 3016, 257, 5707, 764, 258, 373, 635, 530, 286, 262, 867, 17523, 508, 4030, 607, 3200, 764, 7091, 3432, 683, 880, 329, 465, 9550, 837, 475, 772, 611, 673, 750, 299, 470, 837, 339, 561, 991, 307, 9112, 764, 1640, 339, 550, 6151, 607, 2988, 837, 290, 673, 2993, 326, 339, 2227, 284, 1805, 607, 764, 9930, 6807, 1363, 287, 9550, 764, 70, 21006, 561, 1239, 9159, 284, 19177, 326, 673, 373, 24776, 837, 475, 673, 373, 764, 8727, 964, 550, 2823, 379, 683, 550, 587, 2111, 284, 1494, 683, 837, 290, 673, 550, 645, 4719, 287, 607, 2000, 326, 530, 286, 883, 1450, 550, 284, 307, 262, 1115, 484, 547, 13678, 286, 764, 7091, 655, 2622, 284, 1064, 503, 4150, 837, 290, 3049, 764, 43582, 27913, 2266, 12, 256, 8135, 837, 256, 8135, 837, 256, 8135, 837, 345, 815, 760, 1365, 416, 783, 764, 1092, 640, 345, 779, 262, 1573, 14043, 837, 1312, 1011, 340, 355, 281, 17023, 764, 12, 18829, 19177, 18288, 2286, 355, 339, 3114, 379, 262, 1588, 4645, 287, 2166, 286, 683, 764, 1169, 2156, 373, 29100, 4988, 837, 340, 561, 423, 587, 1365, 329, 262, 1468, 288, 4649, 284, 787, 257, 6056, 351, 465, 1438, 384, 675, 1973, 340, 621, 1382, 884, 257, 937, 48288, 414, 326, 262, 2187, 286, 300, 3391, 714, 766, 465, 2156, 422, 4608, 1497, 764, 4360, 326, 373, 703, 262, 1468, 288, 4649, 286, 300, 391, 18647, 2227, 340, 764, 2164, 32152, 1468, 582, 764, 37488, 44756, 287, 2166, 286, 262, 8946, 329, 3478, 2431, 878, 10427, 503, 465, 42903, 290, 2263, 257, 31145, 286, 4508, 88, 764, 258, 1239, 24070, 287, 262, 31143, 764, 20777, 618, 550, 339, 44635, 284, 7722, 618, 339, 373, 284, 1986, 262, 1468, 582, 5633, 258, 2622, 284, 1986, 683, 14556, 393, 1568, 837, 2592, 6402, 39716, 5331, 550, 655, 326, 3329, 1908, 683, 257, 3465, 12316, 340, 373, 23602, 339, 1265, 300, 391, 18647, 546, 262, 1115, 28527, 484, 547, 10240, 837, 6402, 379, 530, 966, 484, 550, 477, 3111, 329, 683, 764, 361, 300, 391, 18647, 991, 17273, 477, 465, 50222, 290, 373, 407, 2063, 262, 582, 339, 973, 284, 307, 837, 339, 561, 307, 262, 1266, 262, 1175, 2607, 550, 355, 1290, 355, 12416, 547, 5213, 764, 270, 3947, 326, 477, 262, 48718, 750, 373, 1949, 284, 2270, 262, 12416, 286, 262, 46932, 287, 7176, 284, 7073, 810, 6553, 547, 25967, 393, 703, 867, 46932, 547, 4988, 5938, 287, 262, 1175, 764, 4480, 262, 1175, 28236, 588, 257, 3223, 6279, 625, 477, 286, 1786, 1044, 837, 340, 373, 257, 1654, 13574, 326, 530, 286, 511, 898, 373, 407, 691, 7163, 262, 12416, 475, 13977, 257, 7630, 422, 32204, 764, 37488, 21893, 7272, 290, 5954, 503, 465, 10000, 2342, 13, 270, 373, 991, 1903, 764, 4360, 788, 757, 837, 339, 373, 1239, 2739, 764, 258, 550, 288, 439, 798, 329, 355, 890, 355, 339, 714, 764, 258, 6807, 6364, 510, 262, 16046, 290, 45569, 262, 4692, 10643, 263, 1022, 465, 9353, 764, 82, 18865, 339, 373, 18665, 736, 284, 618, 339, 550, 717, 1282, 284, 869, 764, 15506, 19177, 5145, 10148, 2290, 948, 4966, 503, 286, 262, 2156, 290, 656, 465, 5101, 764, 29482, 284, 262, 29793, 286, 607, 3397, 290, 511, 26370, 475, 1754, 764, 7091, 1464, 925, 257, 27519, 286, 5223, 764, 15506, 616, 1842, 764, 10148, 37488, 36268, 290, 900, 607, 319, 607, 3625, 764, 15506, 1312, 423, 1282, 284, 869, 837, 355, 345, 12284, 379, 938, 1755, 705, 82, 2613, 764, 10148, 15506, 23586, 764, 10148, 7091, 1509, 16898, 683, 764, 15506, 1312, 750, 407, 3512, 764, 72, 6974, 1965, 611, 345, 561, 307, 5836, 416, 1141, 262, 10013, 2250, 764, 10148, 15506, 326, 345, 750, 764, 10148, 258, 36268, 290, 27946, 607, 1021, 764, 568, 2540, 511, 2068, 8028, 1056, 764, 258, 427, 6396, 11061, 262, 9583, 1633, 290, 13488, 329, 262, 475, 1754, 284, 3280, 764, 22366, 764, 258, 13642, 757, 764, 69, 3289, 837, 706, 281, 28989, 837, 262, 3420, 4721, 655, 4622, 764, 15506, 3763, 5633, 10148, 15506, 387, 332, 6440, 284, 766, 300, 391, 27108, 83, 764, 10148, 5661, 373, 1464, 703, 340, 550, 587, 764, 2290, 948, 705, 82, 17695, 44990, 683, 290, 991, 13772, 683, 329, 465, 4004, 46458, 705, 82, 1918, 764, 270, 750, 407, 1037, 6067, 326, 1111, 607, 3397, 550, 3804, 257, 1790, 640, 706, 465, 290, 300, 84, 948, 705, 82, 4845, 355, 880, 764, 293, 2703, 300, 84, 948, 290, 7627, 19094, 355, 262, 691, 734, 5637, 12772, 764, 392, 783, 837, 340, 373, 655, 7627, 19094, 764, 15506, 387, 332, 6440, 837, 345, 910, 5633, 10148, 1169, 12692, 88, 3809, 531, 422, 262, 584, 1735, 286, 262, 3420, 764, 15506, 2107 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 262, 1478, 400, 8411, 286, 3878, 5491, 284, 307, 2714, 11, 706, 262, 24589, 286, 262, 8411, 286, 4492, 290, 262, 8411, 286, 8838, 287, 1596, 2998, 13, 4453, 2258, 338, 1230, 373, 4504, 351, 257, 1588, 3741, 13, 383, 5471, 19954, 286, 18783, 6493, 262, 28382, 408, 286, 4631, 25875, 290, 262, 21647, 286, 609, 37520, 11, 1111, 286, 4150, 6412, 284, 2405, 355, 854, 9235, 13, 2258, 338, 7691, 6412, 284, 465, 5941, 355, 25098, 11, 475, 645, 19037, 2151, 11196, 379, 262, 640, 290, 465, 5941, 8606, 262, 6167, 13, 198, 198, 22093, 286, 262, 43742, 198, 6214, 1596, 4846, 3517, 2276, 3071, 329, 3307, 13, 383, 43742, 973, 547, 262, 976, 3690, 262, 6224, 286, 262, 8411, 286, 3878, 5491, 13, 198, 198, 35, 689, 286, 3071, 198, 464, 2276, 3071, 373, 2714, 1022, 642, 3267, 1596, 4524, 290, 838, 3389, 1596, 4524, 13, 2258, 338, 11957, 7121, 329, 7024, 284, 3051, 287, 1596, 4524, 357, 38070, 286, 262, 6198, 6027, 1596, 2425, 8, 287, 636, 2233, 284, 10291, 284, 3368, 1719, 281, 3071, 37319, 351, 3649, 15733, 287, 262, 1605, 20848, 13, 198, 198, 2953, 428, 2278, 7024, 750, 407, 1011, 1295, 379, 262, 976, 640, 287, 790, 28280, 13, 383, 8024, 3818, 287, 1123, 7968, 393, 17521, 33534, 5969, 262, 7141, 3128, 357, 3826, 289, 32620, 329, 3307, 286, 262, 3189, 286, 262, 7024, 737, 198, 198, 25468, 198, 198, 4653, 1381, 10638, 198, 198, 6214, 635, 198, 8053, 286, 1582, 5058, 658, 286, 3878, 5491, 198, 8053, 286, 14952, 7018, 287, 262, 1596, 4524, 3517, 2276, 3071, 198, 198, 19927, 628, 3517, 27557, 26972, 1248, 2624, 1906, 18946, 11, 14102, 290, 13012, 416, 18373, 371, 439, 654, 290, 3899, 536, 8847, 372, 357, 26754, 10494, 23499, 12052, 4751, 737, 357, 1890, 9667, 286, 7024, 878, 1248, 2624, 11, 766, 262, 38512, 284, 8655, 642, 13, 2999, 737, 198, 220, 357, 46477, 737, 383, 2097, 286, 13815, 11, 1596, 4051, 1906, 1558, 3829, 13, 968, 1971, 11, 26372, 329, 262, 7443, 286, 8411, 9870, 416, 13643, 2059, 4332, 198, 198, 1558, 4524, 287, 4819, 198, 1558, 4524, 287, 3878, 5491, 198, 1558, 4524, 464, 1596, 3104, 3517, 2276, 3071, 4504, 1866, 284, 4691, 287, 262, 2097, 286, 13815, 286, 262, 1511, 400, 8411, 286, 3878, 5491, 284, 307, 2714, 11, 706, 262, 24589, 286, 262, 8411, 286, 4492, 290, 262, 8411, 286, 8838, 287, 1596, 2998, 13, 198, 198, 464, 3071, 1718, 1295, 10371, 8282, 15381, 1626, 4819, 543, 550, 5091, 262, 1895, 295, 286, 4502, 6711, 287, 1596, 1899, 13, 383, 25098, 508, 550, 890, 587, 287, 17521, 5471, 1719, 407, 1839, 281, 3071, 1201, 1596, 1485, 550, 29930, 4111, 351, 663, 1966, 8540, 13517, 9067, 21712, 1022, 262, 2972, 854, 328, 18783, 11, 262, 9475, 11, 393, 3767, 1964, 10404, 355, 257, 12946, 42112, 13, 1400, 19037, 2151, 11196, 379, 428, 966, 11, 996, 262, 6167, 286, 19037, 373, 10491, 973, 355, 257, 1964, 13277, 416, 5471, 2628, 1028, 262, 1230, 13, 4619, 262, 938, 2276, 3071, 262, 854, 9235, 550, 2626, 44182, 290, 550, 6626, 656, 2972, 18783, 19874, 351, 3756, 1964, 5538, 13, 383, 3756, 5538, 1088, 262, 2278, 286, 262, 3161, 3071, 11, 14811, 262, 21647, 286, 887, 68, 11, 262, 11083, 286, 22410, 290, 262, 21647, 286, 609, 37520, 11, 547, 477, 29040, 422, 1964, 1204, 329, 2972, 3840, 13, 2893, 609, 37520, 6150, 262, 26934, 3785, 2256, 3554, 286, 262, 9475, 11, 262, 3662, 373, 1247, 445, 319, 262, 3274, 4453, 286, 262, 13419, 26, 262, 11083, 286, 402, 1617, 261, 11, 290, 465, 3554, 287, 262, 36523, 26, 4453, 2258, 13, 198, 198, 464, 3071, 1718, 1295, 1141, 257, 42858, 287, 1964, 5358, 11, 351, 612, 852, 257, 3092, 286, 597, 1103, 1964, 4384, 625, 2450, 393, 7989, 1022, 262, 1388, 18783, 13, 383, 1688, 5471, 18783, 11, 262, 4631, 25875, 854, 9235, 739, 262, 28382, 408, 286, 4631, 25875, 290, 262, 19674, 41082, 2737, 739, 4502, 19674, 4244, 21057, 511, 15587, 290, 4202, 284, 262, 9574, 618, 511, 11756, 2766, 550, 2957, 1855, 32995, 287, 262, 1903, 12, 1462, 12, 13602, 636, 286, 262, 5707, 13, 440, 5469, 284, 777, 3403, 262, 2748, 16029, 286, 262, 649, 2097, 286, 13815, 373, 10061, 11, 996, 7746, 1950, 326, 262, 5471, 8618, 4622, 319, 262, 9475, 287, 262, 1933, 3393, 706, 262, 3071, 13, 6902, 3746, 262, 749, 1593, 636, 286, 262, 3071, 373, 262, 3071, 286, 262, 7702, 1757, 5187, 5209, 287, 262, 27953, 28280, 286, 46050, 1069, 13, 5187, 5209, 338, 3071, 13973, 257, 1688, 1964, 4902, 11, 290, 7498, 262, 3726, 286, 1964, 7702, 1042, 287, 5491, 13, 198, 198, 21756, 198, 7191, 262, 10869, 286, 262, 1105, 400, 8411, 286, 3878, 5491, 1936, 1450, 2714, 2607, 355, 5537, 4139, 3756, 284, 262, 6764, 286, 262, 2278, 355, 530, 286, 45555, 24842, 13, 2750, 1596, 2791, 262, 25175, 45933, 286, 22410, 11, 887, 68, 11, 19674, 4244, 290, 4631, 25875, 550, 14707, 11, 7186, 287, 262, 2677, 11, 4502, 6711, 9899, 3977, 10276, 11, 12412, 2727, 262, 21647, 286, 609, 37520, 355, 5537, 4139, 13, 4502, 6711, 287, 5810, 278, 609, 37520, 284, 1296, 281, 3662, 550, 7194, 284, 1064, 257, 8245, 8694, 543, 561, 3141, 262, 6628, 286, 1111, 262, 12223, 290, 8411, 11, 1223, 326, 609, 37520, 4120, 284, 8588, 5023, 465, 734, 7103, 27677, 13, 7945, 13226, 262, 6628, 286, 262, 12223, 11, 38511, 36374, 11, 290, 8768, 11533, 329, 465, 2597, 1141, 262, 13723, 13212, 6, 1810, 11, 609, 37520, 550, 2809, 392, 1068, 777, 6443, 10371, 3595, 1535, 7186, 287, 465, 3274, 4453, 11, 402, 1617, 261, 11, 2263, 319, 3649, 15171, 1626, 1230, 11, 3805, 465, 898, 33506, 284, 1745, 4139, 498, 1176, 13, 198, 198, 3886, 1596, 3134, 609, 37520, 550, 6481, 41258, 262, 45053, 15050, 498, 4631, 25875, 2737, 832, 465, 25693, 286, 4453, 1717, 70, 36340, 1350, 355, 45399, 286, 262, 37306, 13, 2893, 617, 4631, 25875, 2737, 11, 14811, 8616, 42843, 26608, 6150, 636, 286, 262, 9475, 11, 867, 1854, 508, 750, 407, 1745, 13447, 12, 5715, 9730, 16542, 511, 6116, 287, 2882, 13, 770, 11, 18064, 351 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 55, 1557, 3834, 17080, 2012, 7499, 318, 257, 850, 17080, 2012, 287, 1962, 73, 13481, 11, 11144, 88, 7258, 11, 14866, 29992, 8473, 11, 2807, 13, 837, 340, 468, 2237, 12420, 14287, 290, 734, 15425, 739, 663, 3662, 25, 198, 46445, 2865, 2894, 82, 198, 55, 1557, 8108, 198, 36570, 25196, 280, 8108, 7499, 198, 56, 278, 8800, 5567, 8108, 7499, 198, 33, 259, 258, 1350, 72, 5567, 8108, 7499, 198, 51, 504, 33255, 8108, 7499, 198, 2484, 18642, 14396, 8108, 7499, 198, 198, 42074, 1095, 198, 38, 648, 4528, 14812, 7499, 198, 56, 506, 1477, 84, 421, 14812, 7499, 198, 198, 6214, 635, 220, 198, 7343, 286, 42823, 12, 5715, 17397, 286, 14866, 29992, 198, 198, 19927, 220, 198, 198, 38097, 6720, 12, 5715, 17397, 286, 14866, 29992, 198, 8205, 73, 13481, 464, 14625, 366, 51, 323, 1, 4434, 283, 2539, 373, 281, 1605, 2646, 5464, 508, 3111, 379, 33233, 290, 43261, 13094, 12, 43, 2093, 88, 287, 262, 2739, 14062, 82, 290, 1903, 15533, 82, 13, 198, 198, 23286, 4867, 220, 198, 51, 323, 373, 4642, 287, 23837, 446, 4244, 11, 9589, 11, 284, 1757, 4434, 283, 2539, 290, 5335, 25936, 11, 1111, 286, 4150, 547, 8685, 7971, 13, 1375, 373, 262, 18887, 286, 262, 3155, 338, 5193, 1751, 13, 198, 198, 3260, 1762, 355, 257, 45219, 18539, 287, 262, 1103, 7964, 2831, 287, 2986, 11366, 287, 607, 15508, 11, 673, 3888, 284, 8502, 290, 1718, 319, 257, 2092, 2597, 379, 257, 2646, 8034, 13, 16178, 673, 3111, 607, 835, 656, 281, 12857, 2597, 13, 198, 198, 15029, 283, 2539, 960, 8727, 1239, 6405, 960, 67, 798, 319, 3035, 1315, 11, 15674, 13, 198, 198, 4653, 12609, 2646, 4867, 220, 628, 1400, 27272, 357, 1129, 3132, 8, 198, 13872, 35088, 357, 1129, 1959, 8, 198, 7683, 6119, 46756, 357, 1129, 2078, 8, 198, 6964, 3000, 357, 1129, 2078, 8, 198, 198, 19927, 220, 198, 198, 1507, 4531, 27244, 198, 40220, 7040, 198, 7437, 2646, 15719, 198, 7437, 1466, 2646, 15719, 464, 1160, 12067, 19014, 10701, 24008, 373, 257, 10701, 20381, 1080, 973, 416, 262, 11773, 4960, 8565, 287, 262, 2457, 9539, 286, 2159, 1810, 2873, 13, 198, 198, 41206, 290, 1486, 198, 7191, 2159, 1810, 2873, 612, 373, 11091, 1167, 47610, 1022, 262, 11773, 4960, 5407, 290, 262, 11773, 4960, 8565, 355, 1111, 32440, 329, 18549, 4133, 13, 220, 317, 12921, 286, 428, 5449, 318, 326, 1123, 4635, 2092, 475, 1180, 3777, 13, 220, 1052, 1672, 286, 428, 5449, 373, 262, 5407, 5994, 604, 1160, 12067, 10701, 24008, 290, 262, 1160, 12067, 19014, 10701, 24008, 13, 198, 198, 464, 1160, 12067, 19014, 10701, 24008, 373, 4166, 287, 262, 2457, 9539, 286, 2159, 1810, 2873, 416, 262, 4960, 8565, 11, 355, 257, 1877, 12, 15805, 11, 2562, 284, 4439, 4282, 329, 779, 416, 19014, 6553, 355, 257, 938, 12, 67, 2007, 4282, 329, 262, 3761, 286, 4960, 12030, 14807, 13, 220, 383, 717, 4991, 547, 973, 7675, 1141, 262, 5838, 286, 2631, 293, 4528, 84, 287, 16994, 13, 198, 198, 464, 1160, 12067, 19014, 10701, 373, 257, 17613, 286, 257, 3210, 220, 19014, 26489, 416, 9580, 278, 257, 10701, 30430, 284, 262, 26489, 13, 220, 383, 10701, 373, 40442, 416, 257, 48388, 1451, 543, 27527, 656, 262, 2779, 286, 262, 26489, 290, 262, 10701, 19954, 286, 767, 16461, 286, 4274, 2779, 4735, 12, 1676, 23506, 415, 3025, 12142, 308, 13978, 547, 4137, 832, 2237, 7435, 333, 271, 34936, 287, 262, 2779, 286, 262, 10701, 379, 257, 1679, 7200, 9848, 543, 38375, 262, 26489, 287, 257, 8801, 3083, 4571, 23553, 278, 7906, 12, 301, 14991, 1634, 13, 220, 5994, 10495, 491, 15003, 305, 272, 271, 2305, 13835, 373, 19036, 656, 257, 31123, 421, 1068, 7582, 1767, 5292, 284, 2245, 262, 9978, 286, 8301, 4873, 37056, 290, 262, 26489, 373, 41563, 1018, 453, 6936, 416, 257, 9686, 14035, 2736, 13, 198, 198, 46182, 3533, 220, 198, 464, 10701, 714, 307, 5611, 422, 257, 9629, 6147, 393, 13510, 4219, 45047, 351, 257, 3182, 12, 33320, 11, 4624, 1028, 281, 304, 433, 831, 4072, 962, 434, 11, 393, 422, 257, 12656, 393, 10845, 1851, 13, 220, 1119, 547, 3221, 9322, 287, 2628, 286, 734, 393, 1115, 9505, 9581, 25585, 290, 3584, 7026, 290, 17726, 38138, 290, 22910, 547, 3105, 290, 262, 26489, 2837, 373, 1790, 13, 198, 198, 32, 5175, 10701, 24008, 373, 717, 1043, 319, 314, 21638, 5395, 64, 13, 632, 468, 257, 9036, 546, 220, 890, 290, 373, 12623, 319, 257, 7771, 6626, 8025, 25739, 351, 734, 599, 2367, 13, 1318, 547, 734, 13510, 599, 6545, 13666, 351, 1327, 14239, 17920, 329, 2562, 4839, 13, 220, 37881, 341, 290, 8862, 547, 416, 281, 7662, 803, 5412, 5140, 379, 262, 1364, 286, 262, 9036, 655, 2651, 286, 262, 491, 20935, 507, 13, 1649, 262, 10348, 9848, 373, 4251, 11, 262, 29405, 278, 5412, 379, 262, 1364, 318, 38375, 284, 5793, 262, 12403, 287, 2292, 13, 383, 5415, 22910, 373, 8854, 7200, 351, 645, 25739, 38138, 13, 220, 317, 48388, 2099, 9645, 9030, 5140, 319, 1353, 286, 262, 20780, 354, 318, 6294, 416, 281, 7223, 300, 1092, 446, 13, 198, 198, 6191, 15604, 198, 198, 16130, 198, 198, 19, 198, 50218, 20381, 198, 22416, 8085, 20381, 198, 37837, 5112, 5495, 287, 262, 16236, 82, 28875, 14057, 327, 1228, 265, 544, 357, 1314, 4790, 1906, 1433, 2548, 8, 373, 257, 7993, 7835, 662, 17660, 508, 4983, 355, 16559, 286, 317, 4484, 78, 357, 1433, 1731, 1906, 1433, 2548, 737, 198, 198, 23286, 4867, 198, 28875, 14057, 327, 1228, 265, 544, 373, 4642, 287, 1315, 4790, 13, 198, 2202, 1315, 2758, 1467, 1731, 11, 339, 373, 9899, 1141, 262, 20461, 1590, 286, 13258, 14665, 25197, 355, 16559, 286, 317, 4484, 78, 13, 198, 1544, 4983, 355, 16559, 286, 317, 4484, 78, 1566, 465, 1918, 287, 1526, 1467, 2548, 13, 198, 198, 19927, 198, 198, 41506, 6117, 290, 3224, 4237, 198, 357, 1640, 8750, 1435, 286, 347, 21863, 8, 220, 198, 357, 1640, 8750, 1435, 286, 347, 21863, 8, 220, 198, 198, 1558, 400, 12, 14792, 8200, 7993, 7835, 27538, 198, 33, 21863, 9899, 416, 13258, 14665, 25197, 198, 33, 21863, 286, 317, 4484, 78, 198, 1314, 4790, 27244, 198 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 11, 309, 13, 39646, 84, 1222, 311, 452, 283, 13, 198, 15084, 77, 420, 5117, 385, 28145, 392, 14932, 357, 33, 794, 7874, 21281, 2014, 440, 3464, 198, 6171, 5177, 25, 15084, 77, 420, 5117, 385, 266, 432, 666, 385, 1086, 2454, 198, 15084, 77, 420, 5117, 385, 279, 6680, 271, 19498, 6975, 198, 15084, 77, 420, 5117, 385, 7514, 6449, 46781, 357, 11122, 1025, 268, 8, 19498, 6975, 198, 15084, 77, 420, 5117, 385, 473, 37107, 37834, 21204, 409, 402, 4660, 538, 13, 198, 15084, 77, 420, 5117, 385, 629, 419, 3055, 259, 4178, 2677, 198, 15084, 77, 420, 5117, 385, 850, 42932, 66, 7240, 4638, 81, 13, 198, 15084, 77, 420, 5117, 385, 2160, 265, 2596, 385, 357, 44, 25011, 2014, 17634, 585, 13, 46121, 367, 13, 289, 7140, 7899, 4178, 8, 198, 15084, 77, 420, 5117, 385, 3478, 84, 541, 316, 46781, 19498, 6975, 198, 15084, 77, 420, 5117, 385, 8710, 268, 7240, 12822, 861, 77, 13, 357, 39, 13, 8710, 316, 2271, 8, 532, 2099, 4693, 198, 15084, 77, 420, 5117, 385, 3326, 622, 6966, 385, 327, 13, 36, 13, 25478, 7899, 1222, 327, 13, 36, 13, 34, 13, 37, 25308, 13, 198, 15084, 77, 420, 5117, 385, 4898, 4178, 4638, 81, 13, 198, 15084, 77, 420, 5117, 385, 1319, 323, 72, 2677, 198, 15084, 77, 420, 5117, 385, 331, 689, 4178, 4638, 81, 13, 198, 198, 6425, 25, 317, 1271, 286, 4693, 547, 15734, 287, 14110, 461, 83, 6644, 418, 13, 198, 198, 19927, 628, 7854, 34900, 1963, 2304, 1968, 4618, 1438, 6831, 198, 198, 41506, 6117, 198, 220, 198, 220, 628, 220, 198, 15029, 79, 394, 498, 274, 1152, 64, 198, 35, 952, 721, 699, 6134, 464, 1708, 389, 262, 4346, 357, 35634, 2189, 8, 2995, 286, 262, 614, 16236, 3690, 262, 995, 13, 198, 198, 37103, 198, 1478, 3267, 784, 27040, 42211, 3430, 327, 13, 35, 13, 50, 13, 569, 3755, 318, 4920, 13, 198, 198, 16643, 2741, 3430, 2260, 12184, 220, 198, 16519, 25, 347, 11216, 7653, 12706, 198, 17456, 25, 26986, 32482, 390, 17456, 198, 4486, 25, 10029, 3059, 282, 365, 8702, 198, 8031, 25, 2445, 1031, 295, 1000, 4460, 5733, 376, 13, 34, 13, 198, 12671, 25, 39775, 23397, 585, 18481, 353, 11043, 198, 8602, 25, 32, 400, 1616, 291, 5184, 9607, 72, 18840, 198, 23356, 25, 21094, 23627, 495, 132, 247, 20259, 198, 7137, 25, 376, 877, 47041, 16175, 68, 11, 8678, 4106, 46481, 17231, 343, 1897, 17062, 1819, 198, 198, 24274, 18130, 198, 198, 38480, 82, 220, 198, 3269, 642, 784, 13071, 412, 2926, 3464, 7957, 988, 11, 10914, 3230, 44185, 290, 4706, 198, 3269, 1160, 784, 22722, 23524, 260, 23297, 11, 20849, 3230, 44185, 357, 67, 798, 2211, 8, 198, 3269, 2242, 784, 48642, 13685, 11033, 647, 11, 2679, 3230, 44185, 357, 67, 798, 3050, 8, 198, 3269, 1987, 784, 8403, 3498, 505, 11, 3594, 3230, 44185, 357, 67, 798, 4793, 8, 198, 3269, 1679, 784, 449, 25151, 5235, 31898, 9038, 11, 2679, 3230, 44185, 290, 4706, 198, 3945, 1987, 784, 48566, 4294, 89, 11, 2679, 3230, 44185, 357, 67, 798, 2177, 8, 198, 2805, 642, 784, 5264, 69, 350, 295, 35424, 11, 2679, 3230, 44185, 11, 4706, 290, 21997, 286, 262, 20849, 2351, 4816, 198, 2805, 2579, 784, 20894, 7070, 5049, 11, 31021, 84, 22931, 44185, 290, 4706, 357, 67, 798, 2211, 8, 198, 1737, 513, 784, 3779, 45535, 32104, 39891, 11, 10914, 4346, 4706, 198, 1737, 838, 784, 24017, 21872, 337, 41976, 11, 7897, 4346, 4706, 198, 1737, 678, 784, 1305, 504, 14551, 86, 1326, 7834, 11, 10914, 3230, 44185, 198, 2795, 362, 784, 11646, 10026, 11, 3594, 3230, 44185, 357, 67, 798, 1946, 8, 198, 2901, 2608, 784, 449, 25151, 5235, 509, 5945, 73, 7456, 77, 11, 2679, 3230, 44185, 357, 67, 798, 1946, 8, 198, 3267, 604, 784, 4243, 85, 952, 1526, 89, 43232, 11, 36399, 3230, 44185, 198, 3267, 1596, 784, 5850, 679, 2926, 38572, 11, 10914, 3230, 44185, 357, 67, 798, 1853, 8, 198, 3267, 2242, 784, 220, 1717, 1559, 943, 39781, 466, 399, 3372, 3681, 78, 366, 47, 417, 2634, 1600, 17036, 3230, 44185, 198, 3389, 1679, 784, 2365, 17960, 2436, 78, 276, 11, 10914, 44185, 290, 3985, 198, 198, 20148, 82, 198, 198, 18517, 220, 198, 3267, 678, 532, 471, 1916, 1462, 2199, 328, 20066, 11, 8200, 13191, 11, 8464, 286, 262, 29300, 21285, 2159, 5454, 11, 749, 28490, 2137, 329, 8031, 422, 32471, 1566, 16382, 290, 4075, 4706, 286, 40912, 376, 13, 34, 13, 220, 357, 2670, 2162, 281, 23365, 893, 76, 8, 198, 198, 19927, 628, 220, 198, 8021, 41003, 4346, 416, 614, 35, 2502, 9594, 318, 257, 13257, 287, 46578, 11, 8758, 11, 287, 5366, 12, 23316, 4492, 13, 198, 198, 18122, 198, 37, 6302, 287, 3945, 1248, 2623, 416, 262, 3240, 338, 9591, 10443, 35043, 11654, 11, 340, 373, 7317, 23707, 287, 262, 1468, 16446, 18323, 290, 1057, 416, 262, 46578, 18880, 49256, 5136, 13, 220, 383, 8329, 4281, 357, 28764, 721, 5987, 286, 46578, 5665, 4281, 8, 15832, 1718, 340, 625, 1105, 812, 1568, 11, 30580, 257, 649, 2615, 284, 2156, 340, 290, 262, 3240, 338, 1910, 11, 287, 5991, 9276, 13, 198, 198, 3347, 3353, 422, 4881, 287, 22458, 1141, 262, 5498, 2159, 1810, 11, 262, 9594, 2626, 881, 286, 663, 17268, 11, 1390, 3016, 477, 286, 663, 3288, 2106, 17268, 13, 220, 13111, 286, 262, 16997, 2587, 373, 1364, 24007, 287, 30923, 290, 584, 7000, 1566, 22717, 11, 290, 340, 318, 6108, 691, 1542, 4, 286, 262, 662, 12, 5767, 4947, 11803, 284, 326, 3128, 13, 220, 554, 21794, 257, 705, 11498, 5551, 6, 13257, 373, 4721, 287, 262, 8329, 4789, 338, 739, 36714, 11, 475, 428, 287, 1109, 15436, 1566, 10249, 11, 618, 257, 649, 13257, 2615, 319, 1115, 3923, 357, 42200, 262, 9594, 338, 2656, 24569, 43562, 8, 373, 4721, 287, 5991, 9276, 13, 198, 198, 2202, 1160, 2901, 7358, 262, 7542, 4721, 257, 649, 15604, 319, 262, 9594, 338, 1218, 4314, 1247, 445, 319, 262, 46578, 19461, 7129, 30828, 13, 554, 3426, 4751, 11, 428, 15604, 373, 11343, 262, 3517, 32187, 2770, 15434, 12460, 40, 11289, 4751, 11, 329, 663, 10156, 284, 30971 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 11, 44720, 290, 1194, 1593, 3554, 286, 262, 367, 528, 15065, 911, 15498, 397, 11, 30843, 337, 7456, 88, 17072, 24980, 11, 547, 2923, 416, 257, 471, 13, 50, 13, 46504, 319, 465, 2156, 287, 262, 3240, 286, 360, 7537, 321, 533, 65, 13, 3362, 4849, 404, 988, 2098, 287, 262, 4842, 17588, 326, 31395, 19982, 284, 1494, 790, 44897, 287, 23918, 287, 2882, 13, 198, 198, 6214, 635, 220, 198, 5533, 32631, 4479, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 52, 13, 50, 13, 317, 667, 8760, 23478, 30886, 6366, 1484, 286, 21691, 284, 978, 12, 19058, 383, 2669, 2947, 1737, 362, 11, 3648, 198, 198, 1238, 400, 12, 14792, 27244, 198, 11528, 7040, 198, 8021, 562, 3898, 978, 12, 2484, 15498, 397, 1866, 198, 8021, 562, 3898, 9995, 7199, 7602, 198, 8061, 12864, 287, 23918, 198, 20148, 82, 416, 1605, 26665, 198, 50, 296, 7199, 7045, 198, 17688, 286, 4082, 4814, 198, 20451, 364, 286, 5533, 3246, 2628, 198, 19221, 19910, 31395, 198, 11024, 82, 17162, 287, 23918, 198, 11528, 6741, 287, 23918, 198, 11528, 17162, 287, 5478, 464, 6031, 31292, 286, 5164, 89, 7499, 318, 257, 3027, 81, 7329, 286, 262, 5579, 10989, 31292, 286, 23825, 11, 17322, 13, 198, 198, 18122, 198, 198, 20457, 2106, 198, 818, 262, 1903, 6046, 21449, 262, 3744, 636, 286, 262, 7674, 286, 262, 1944, 6031, 31292, 286, 5164, 89, 373, 2426, 284, 262, 27538, 286, 13240, 9607, 388, 357, 43, 273, 354, 1776, 379, 257, 1568, 3128, 340, 7042, 636, 286, 262, 1049, 6031, 31292, 286, 6251, 559, 11, 543, 7083, 422, 262, 1148, 283, 284, 262, 1004, 342, 64, 13, 383, 9005, 12, 33, 10124, 286, 6251, 559, 7620, 17169, 262, 6727, 636, 393, 20390, 17322, 11, 981, 281, 37419, 24233, 11, 1719, 465, 11566, 287, 23825, 290, 1444, 262, 15934, 11, 17169, 329, 683, 262, 10183, 636, 393, 16048, 17322, 13, 198, 198, 2514, 466, 1497, 351, 262, 1964, 4588, 287, 465, 16771, 286, 262, 27538, 286, 6251, 559, 11, 508, 547, 635, 42676, 286, 262, 8065, 11, 7212, 2873, 3066, 284, 1043, 734, 649, 2566, 420, 274, 274, 13, 2312, 547, 287, 5164, 89, 290, 520, 13, 350, 9101, 75, 1452, 11, 543, 287, 257, 1728, 3953, 547, 284, 6931, 262, 1468, 13240, 9607, 388, 11, 290, 262, 23129, 691, 39576, 262, 1918, 286, 25564, 31623, 666, 11, 788, 16559, 286, 6251, 559, 11, 284, 3283, 503, 465, 3352, 13, 198, 198, 464, 38691, 338, 2951, 547, 32335, 4838, 357, 67, 13, 1511, 2805, 1596, 5999, 828, 878, 262, 23129, 319, 1467, 2805, 12000, 477, 262, 11406, 3119, 286, 262, 6031, 31292, 286, 6251, 559, 287, 465, 16771, 13, 198, 198, 3886, 281, 4381, 286, 604, 2901, 1596, 5705, 11, 262, 22735, 341, 286, 477, 262, 6608, 290, 2489, 16686, 284, 262, 6031, 31292, 286, 6251, 559, 287, 17322, 373, 1529, 724, 276, 11, 290, 262, 5259, 956, 290, 13089, 547, 15032, 284, 340, 13, 198, 198, 464, 717, 24233, 357, 1558, 5332, 12, 23, 828, 34705, 28056, 15310, 296, 2724, 11, 11773, 2764, 18042, 2332, 527, 5714, 290, 15734, 5259, 934, 16559, 286, 412, 1229, 5117, 544, 11, 550, 587, 262, 15934, 286, 262, 9005, 12, 33, 10124, 286, 6251, 559, 290, 24017, 283, 12, 12218, 286, 16048, 17322, 13, 198, 198, 464, 1306, 24233, 11, 7212, 9261, 7096, 357, 1558, 3459, 1906, 1507, 2998, 828, 373, 257, 1964, 12525, 286, 7212, 2873, 290, 286, 474, 577, 746, 259, 1042, 13, 383, 2368, 16559, 286, 5164, 89, 11, 21984, 1042, 917, 38129, 9544, 831, 24657, 550, 587, 257, 41756, 18061, 286, 24797, 74, 290, 24017, 283, 12, 12218, 286, 14770, 11286, 29205, 13, 2399, 17270, 373, 262, 28697, 500, 8547, 48759, 5658, 1168, 15702, 1754, 357, 1507, 1983, 1906, 4309, 828, 15734, 16559, 286, 309, 1501, 709, 13, 198, 198, 50237, 286, 1248, 2780, 198, 464, 9303, 286, 1248, 2780, 407, 691, 3220, 1964, 12354, 11, 475, 635, 2921, 284, 262, 4564, 3744, 10404, 287, 663, 898, 8473, 13, 198, 198, 464, 6246, 286, 262, 10467, 2679, 7835, 3162, 11, 2714, 379, 5164, 89, 287, 35745, 11, 635, 27324, 262, 4564, 287, 262, 2566, 31292, 13, 317, 1049, 2478, 286, 4158, 1204, 287, 262, 2566, 31292, 8724, 422, 262, 15032, 22008, 286, 262, 4564, 13, 13111, 286, 262, 3884, 329, 428, 3349, 318, 2233, 284, 262, 31543, 290, 7379, 451, 798, 2248, 4662, 286, 262, 8150, 24233, 11, 262, 38323, 12, 23409, 69, 17421, 328, 959, 357, 1507, 4310, 1906, 5705, 828, 508, 6886, 262, 4225, 10414, 12743, 3657, 286, 1248, 3104, 13, 198, 198, 6653, 17270, 11, 38129, 14200, 40790, 6051, 11, 550, 691, 257, 1790, 2462, 2304, 404, 378, 357, 1507, 5332, 12, 23, 737, 554, 262, 1306, 24233, 11, 38323, 14200, 2141, 46357, 65, 16261, 357, 1507, 4531, 1906, 1129, 2919, 828, 262, 2566, 31292, 2722, 257, 4988, 18584, 4160, 1182, 11, 3025, 4588, 7083, 1290, 3675, 465, 898, 16558, 286, 670, 13, 383, 1944, 24233, 318, 1869, 39193, 10011, 15573, 13, 198, 198, 1925, 12730, 198, 464, 38845, 41756, 286, 262, 9543, 330, 5039, 1482, 4516, 11, 3170, 422, 262, 3352, 286, 262, 34923, 7068, 11, 569, 1939, 19471, 5133, 89, 11, 373, 9258, 287, 49658, 290, 42938, 4111, 287, 37166, 26, 262, 10580, 11, 220, 1029, 11, 373, 5201, 287, 45611, 13, 383, 5706, 32536, 11, 6198, 262, 4928, 286, 262, 4804, 15379, 11, 373, 3170, 287, 262, 2409, 78, 4188, 3918, 1022, 1467, 3388, 290, 1467, 6469, 13, 1318, 389, 1811, 1468, 44953, 14422, 357, 1273, 13, 4432, 666, 11, 25732, 907, 76, 9116, 77, 1706, 11, 27328, 3826, 11, 21114, 620, 11, 7164, 26400, 11, 797, 291, 7084, 3900, 11, 5187, 372, 278, 11, 3503, 12179, 6198, 3170, 287, 262, 3570, 7305, 4188, 2278, 290, 3016, 477, 30080, 287, 262, 10037, 28117, 290, 45592, 10675, 287, 262, 2409, 78, 4188, 3918, 13, 198, 198, 464, 749, 1593, 14422, 287, 262, 2409, 78, 4188, 3918, 286, 10959, 389, 262, 44953, 14422, 286, 520, 13, 4432, 666, 357, 1433, 2623, 1906, 1558, 2231, 828, 290, 286, 8999, 388, 41651, 23140, 357, 260, 18780, 1467, 5705, 12, 1558, 1507, 737, 383, 749, 1593, 6832 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1181, 15469, 198, 49097, 4734, 198, 56, 1000, 3854, 3961, 31333, 198, 1507, 1828, 27244, 198, 48104, 7040, 198, 1129, 400, 12, 14792, 1605, 7602, 198, 1129, 400, 12, 14792, 1605, 10266, 1858, 389, 257, 1271, 286, 2846, 326, 389, 973, 287, 4637, 351, 30923, 11, 269, 2703, 290, 693, 293, 1435, 13, 383, 1708, 318, 281, 17503, 1351, 13, 198, 198, 32, 198, 198, 2025, 28543, 1633, 2272, 287, 257, 21050, 12403, 1022, 262, 1660, 290, 262, 9753, 198, 198, 33, 198, 198, 34, 198, 198, 42, 198, 198, 47, 198, 198, 49, 198, 198, 50, 198, 198, 51, 198, 198, 54, 198, 198, 6214, 635, 198, 45970, 560, 286, 14281, 2846, 198, 198, 19927, 198, 198, 41506, 21691, 220, 628, 317, 17210, 4749, 286, 18603, 290, 9375, 301, 15527, 1435, 351, 6093, 20984, 284, 13272, 9375, 301, 15084, 31142, 357, 20456, 8, 1377, 317, 1479, 11, 9815, 22155, 286, 269, 2703, 290, 693, 293, 2770, 2846, 13, 198, 198, 5248, 293, 1435, 198, 34, 2703, 198, 34, 2703, 464, 22819, 6010, 9475, 329, 14611, 11, 16027, 11, 290, 4765, 10665, 286, 262, 2066, 286, 16256, 357, 397, 4679, 8903, 515, 509, 8952, 7204, 2165, 71, 2724, 321, 8, 318, 262, 28259, 1230, 11957, 287, 3877, 286, 262, 5410, 290, 2450, 763, 12, 585, 1883, 11, 355, 880, 355, 18305, 5612, 286, 4788, 287, 262, 9674, 286, 4819, 11, 1099, 11, 290, 2260, 2324, 13, 770, 9475, 318, 2957, 416, 257, 366, 7222, 585, 6010, 4139, 329, 14611, 11, 16027, 290, 4765, 10665, 1, 357, 17946, 453, 37640, 515, 355, 6065, 7204, 2165, 71, 2724, 321, 737, 24581, 663, 2106, 11, 262, 1281, 318, 3221, 12030, 416, 9880, 16657, 3386, 1029, 12, 28405, 3790, 11, 475, 739, 449, 16044, 24801, 24313, 338, 13447, 11, 340, 318, 3058, 2714, 416, 14971, 286, 11107, 4469, 26, 8882, 69, 463, 10670, 13, 198, 198, 7222, 585, 6010, 2449, 3976, 198, 9475, 286, 5995, 10665, 198, 9475, 286, 8708, 10665, 198, 9475, 286, 16721, 198, 9475, 286, 3854, 290, 5524, 6923, 198, 9475, 286, 26117, 290, 554, 18982, 873, 198, 9475, 286, 30048, 290, 9840, 6098, 1512, 17893, 198, 1812, 9345, 7732, 198, 8123, 3611, 198, 2351, 16657, 12700, 357, 51, 22125, 8, 198, 2351, 4287, 357, 45472, 7112, 8, 198, 220, 198, 45411, 4765, 5926, 198, 198, 8053, 286, 14138, 198, 4342, 318, 262, 1351, 286, 22819, 6010, 4139, 329, 14611, 11, 16027, 11, 290, 4765, 10665, 1201, 663, 30839, 13, 198, 198, 19927, 198, 198, 28848, 286, 16256, 464, 3748, 4637, 318, 257, 14416, 2008, 15422, 357, 30147, 3035, 1511, 11, 1853, 8, 4635, 416, 337, 9221, 40865, 329, 28518, 11, 257, 22634, 4508, 13, 1081, 286, 3267, 2310, 11, 1853, 11, 262, 2008, 468, 39025, 625, 1596, 1510, 5009, 319, 7444, 290, 625, 1315, 1510, 319, 3203, 13, 198, 198, 35027, 198, 198, 464, 2008, 373, 4635, 329, 28518, 416, 337, 9221, 40865, 11, 257, 20849, 8560, 1664, 13, 9530, 710, 37759, 3754, 11, 6123, 286, 337, 9221, 40865, 11, 373, 4497, 329, 262, 2126, 290, 3721, 11, 290, 373, 635, 262, 10039, 3437, 286, 262, 2008, 13, 383, 2008, 373, 7924, 416, 39933, 385, 3661, 516, 268, 11, 257, 20849, 16413, 508, 2499, 287, 262, 27962, 286, 6977, 11, 8560, 11, 290, 31725, 13, 198, 198, 43328, 198, 198, 464, 2008, 3033, 2237, 12289, 290, 511, 1751, 13, 1439, 262, 12289, 1302, 287, 257, 1627, 12, 929, 13, 1881, 416, 530, 11, 262, 1751, 11, 7770, 11379, 276, 11, 389, 8686, 262, 4876, 286, 13720, 543, 286, 262, 2237, 1466, 318, 465, 393, 607, 2802, 13, 383, 1751, 2834, 262, 1466, 866, 290, 1254, 262, 1466, 338, 22634, 11, 9528, 11, 16324, 4645, 11, 290, 4190, 287, 1502, 11, 290, 635, 26300, 262, 1466, 11, 287, 1502, 284, 5052, 606, 13, 554, 262, 2008, 11, 1123, 1200, 318, 1498, 284, 7675, 5911, 465, 393, 607, 2802, 13, 198, 198, 3041, 4516, 198, 198, 7680, 82, 198, 198, 1722, 286, 3035, 1987, 11, 1853, 11, 262, 2008, 550, 625, 1367, 1510, 5009, 319, 7444, 290, 625, 1315, 1510, 319, 3203, 13, 1215, 10464, 10307, 340, 1303, 17, 287, 663, 1351, 286, 1353, 1936, 30503, 329, 262, 1285, 286, 3035, 1596, 1906, 1731, 13, 198, 198, 41000, 16307, 198, 464, 2008, 373, 4143, 15342, 329, 663, 7505, 286, 2802, 12, 9410, 1842, 355, 880, 355, 663, 9706, 286, 262, 7505, 13, 632, 373, 15494, 257, 11626, 73, 35779, 329, 663, 2694, 284, 2018, 351, 290, 3638, 257, 1588, 1271, 286, 661, 13, 1605, 8674, 41398, 40323, 2044, 2630, 286, 262, 2008, 25, 366, 40, 714, 2342, 428, 477, 1110, 526, 198, 198, 7571, 6685, 319, 1215, 10464, 5174, 262, 2008, 355, 257, 835, 329, 28518, 284, 651, 281, 1903, 923, 319, 2570, 803, 2346, 19888, 351, 2802, 2894, 287, 262, 2745, 2491, 510, 284, 10584, 338, 3596, 11, 543, 561, 307, 6515, 319, 1737, 838, 11, 1853, 13, 1881, 2630, 25, 366, 1026, 41731, 703, 11331, 5372, 540, 674, 34015, 389, 11, 290, 703, 1593, 340, 318, 284, 606, 326, 356, 760, 606, 880, 960, 31722, 319, 1528, 588, 10584, 338, 3596, 13, 357, 39, 600, 11, 9254, 11, 2822, 607, 617, 28949, 22634, 2014, 26894, 632, 338, 635, 257, 407, 523, 11800, 9254, 284, 607, 2383, 584, 11, 780, 269, 1101, 261, 11, 326, 513, 12, 1941, 12, 727, 2125, 470, 5989, 329, 262, 42893, 2241, 526, 6023, 4367, 25, 366, 3633, 262, 4136, 4909, 1310, 9929, 24150, 357, 505, 286, 262, 34015, 857, 1656, 284, 307, 5762, 28518, 29151, 563, 11, 475, 340, 447, 247, 82, 257, 2068, 2823, 828, 340, 8470, 262, 4508, 284, 262, 7016, 15598, 981, 12577, 10209, 284, 5001, 28518, 29151, 563, 329, 12289, 1110, 526, 198, 198, 33874, 329, 3893, 11, 23811, 1001, 312, 805, 4438, 262, 1708, 25094, 286, 262, 2008, 25, 17698, 47859, 287, 663, 2230, 284, 779, 257, 1254, 12, 11274, 7505, 284, 3677, 22634, 11, 1165, 1310, 8425, 393, 9450, 9573, 11, 645, 2597, 329, 47713, 11, 290, 40316, 20577, 287, 12059, 262, 19294, 286, 262, 2802, 12, 9410, 2776, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 15934, 2008, 198, 198, 53 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 705, 82, 4167, 837, 673, 3114, 656, 1123, 384, 25924, 7815, 1986, 837, 24433, 329, 511, 9480, 1108, 764, 1169, 393, 2024, 561, 1239, 22898, 284, 2740, 286, 262, 5417, 2415, 837, 673, 1807, 837, 290, 645, 530, 561, 22898, 284, 1975, 606, 764, 47119, 11858, 290, 393, 2024, 561, 1239, 1254, 6717, 546, 31017, 2347, 2162, 484, 561, 900, 503, 319, 17545, 837, 484, 561, 1592, 19539, 10181, 837, 290, 1239, 892, 5403, 546, 11810, 351, 511, 9397, 393, 9894, 284, 5262, 8805, 368, 10924, 13485, 764, 71, 1000, 276, 481, 21674, 1256, 660, 705, 82, 4190, 837, 1667, 494, 12, 73, 577, 36335, 531, 284, 5223, 837, 290, 288, 4649, 1149, 829, 481, 19370, 607, 837, 290, 673, 481, 1239, 4003, 616, 8889, 764, 265, 262, 4220, 286, 262, 11376, 837, 257, 1627, 286, 9692, 3013, 4335, 4291, 262, 4077, 20710, 837, 12180, 656, 262, 11105, 837, 4315, 278, 1088, 262, 29420, 286, 2471, 15578, 837, 22517, 278, 262, 5417, 2415, 764, 7091, 815, 299, 470, 307, 319, 3359, 837, 588, 281, 5044, 287, 262, 1450, 3536, 494, 5145, 3876, 494, 12, 73, 577, 36335, 1807, 764, 270, 705, 82, 11061, 607, 16247, 5145, 392, 1312, 705, 76, 4497, 532, 1312, 7817, 607, 262, 19538, 15910, 764, 3876, 494, 12, 73, 577, 36335, 550, 645, 4934, 284, 1969, 262, 11105, 764, 89, 14299, 22591, 607, 1182, 290, 778, 2903, 837, 4737, 284, 7976, 404, 837, 4737, 284, 1057, 1566, 607, 582, 68, 13112, 287, 262, 2344, 290, 300, 273, 23440, 705, 82, 24117, 17676, 736, 588, 12098, 764, 15506, 645, 837, 616, 31894, 837, 10148, 1667, 494, 12, 73, 577, 36335, 25029, 764, 15506, 356, 1276, 1394, 284, 257, 1181, 306, 8761, 764, 732, 1244, 491, 1403, 2130, 837, 611, 356, 38527, 276, 866, 284, 8711, 262, 5417, 2415, 1497, 764, 10148, 7091, 14028, 611, 262, 5417, 2415, 714, 6594, 837, 611, 3737, 673, 22075, 1049, 24635, 832, 262, 9151, 764, 361, 673, 714, 2644, 1667, 494, 12, 73, 577, 36335, 11126, 262, 4295, 2126, 764, 7091, 561, 1239, 651, 262, 5417, 2415, 1613, 262, 10942, 764, 23352, 12, 65, 2799, 2945, 837, 1976, 14299, 714, 407, 503, 16740, 772, 257, 4692, 12, 50132, 8223, 764, 7091, 1244, 1949, 837, 290, 2270, 607, 2612, 764, 15506, 340, 561, 307, 284, 645, 29107, 837, 10148, 1667, 494, 12, 73, 577, 36335, 531, 837, 7559, 329, 262, 9992, 714, 407, 6758, 764, 88, 1158, 561, 1239, 20927, 502, 837, 329, 262, 11060, 286, 465, 670, 764, 9127, 300, 42008, 268, 561, 1239, 20927, 502, 837, 329, 262, 11060, 286, 465, 48565, 764, 392, 1312, 705, 67, 1239, 20927, 3589, 837, 329, 262, 11060, 286, 345, 764, 10148, 15506, 644, 640, 284, 1441, 837, 285, 321, 741, 293, 5633, 10148, 30482, 13281, 2714, 262, 16046, 290, 4193, 607, 595, 14948, 764, 15506, 1312, 460, 407, 910, 764, 10148, 7091, 279, 16898, 1976, 14299, 705, 82, 33143, 7393, 290, 607, 2705, 31746, 2162, 673, 39545, 656, 607, 781, 1723, 18216, 41408, 764, 15506, 1312, 705, 297, 3758, 329, 607, 764, 10148, 15506, 345, 705, 260, 257, 4240, 837, 8805, 368, 10924, 13485, 837, 10148, 531, 530, 1928, 7126, 28153, 837, 7559, 3047, 262, 5417, 9234, 284, 8204, 262, 9692, 764, 10148, 15506, 10195, 340, 705, 82, 329, 884, 257, 1790, 640, 837, 10148, 531, 262, 584, 764, 3876, 494, 12, 73, 577, 36335, 31662, 284, 262, 17186, 764, 1169, 5417, 2415, 1509, 321, 736, 290, 6071, 837, 1088, 290, 1088, 837, 46937, 2890, 262, 31704, 764, 1169, 5417, 2415, 23717, 764, 1169, 5933, 991, 276, 764, 1169, 4417, 686, 3902, 764, 1169, 5417, 2415, 11173, 422, 262, 1660, 287, 257, 10484, 286, 11662, 764, 372, 12105, 1767, 26852, 2434, 764, 7091, 443, 5813, 3190, 625, 491, 37752, 837, 33097, 607, 30514, 532, 607, 3992, 3077, 3625, 532, 379, 262, 1353, 286, 607, 3934, 764, 7091, 15452, 276, 866, 837, 49047, 1231, 257, 22870, 393, 42462, 764, 1169, 31704, 38911, 764, 15506, 3714, 340, 257, 5916, 5145, 10148, 15506, 787, 340, 16470, 757, 5145, 10148, 3876, 494, 12, 73, 577, 36335, 9514, 262, 8665, 764, 72, 481, 407, 1265, 262, 5417, 2415, 284, 1620, 588, 257, 6908, 3290, 837, 673, 1807, 764, 7091, 25889, 262, 5417, 2415, 705, 82, 1438, 2162, 262, 5417, 2415, 491, 2967, 837, 4441, 41160, 286, 1657, 290, 2128, 326, 1278, 6972, 290, 465, 36622, 588, 262, 7840, 7588, 764, 3876, 494, 12, 73, 577, 36335, 6807, 1022, 606, 764, 439, 38603, 284, 262, 1162, 16241, 803, 34493, 837, 262, 9692, 13488, 329, 511, 9739, 764, 15506, 4860, 837, 10148, 1667, 494, 12, 73, 577, 36335, 531, 837, 7559, 26820, 869, 262, 31123, 13083, 837, 284, 12797, 262, 5916, 12, 5657, 2411, 656, 262, 29420, 764, 10148, 15506, 1577, 262, 5916, 284, 532, 10148, 673, 2921, 683, 257, 387, 6724, 774, 804, 764, 258, 35737, 764, 1169, 31123, 13083, 37229, 262, 9036, 764, 8583, 1660, 290, 2107, 5916, 308, 7474, 625, 262, 20254, 286, 262, 29420, 764, 4480, 257, 35064, 988, 286, 9476, 837, 262, 5417, 2415, 11173, 832, 262, 7850, 286, 5417, 12, 7050, 764, 353, 41301, 837, 262, 31123, 13083, 5710, 262, 9036, 2162, 340, 256, 11137, 656, 262, 29420, 764, 1169, 5417, 2415, 288, 1572, 284, 31236, 340, 764, 1169, 17523, 11468, 837, 15482, 262, 43878, 286, 262, 1928, 7126, 47619, 764, 1169, 9692, 13818, 290, 38911, 764, 9930, 1244, 355, 880, 423, 587, 4964, 281, 340, 7199, 10997, 764, 372, 736, 284, 262, 27998, 903, 837, 1667, 494, 12, 73, 577, 36335, 629, 322, 992, 764, 15506, 783, 345, 705, 303, 1392, 645, 5916, 284, 3714, 284, 262, 9234, 5145, 10148, 64, 21493, 17293, 764, 15506, 356, 765, 284, 766, 262, 5417, 9234, 5145, 10148, 15506, 3714, 262, 9234, 257, 5916, 5145, 10148, 15506, 673, 705, 82, 645, 9234, 5145, 10148, 3919, 530, 2982, 607, 764, 7050, 13999, 2162, 262, 5417, 2415, 43713, 837, 45111, 257, 5916, 837, 290, 4328, 5263, 781, 4131, 726, 3875, 764, 1169, 5916, 13112, 832, 262, 1633, 837, 1022, 262, 9210, 286, 262, 17186, 837, 290, 2277, 262, 21493, 287, 262, 7721, 764, 7050, 599, 10228, 1667, 494, 12, 73, 577, 36335, 705, 82 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 35027, 4710, 198, 42921, 332, 33889, 1636, 784, 11949, 198, 45478, 7802, 784, 11949, 198, 23672, 11952, 4401, 784, 11949, 198, 198, 19927, 198, 198, 43, 11870, 3719, 559, 16788, 198, 38391, 2107, 16788, 198, 7397, 32, 13407, 2107, 16788, 198, 2348, 4435, 82, 6264, 379, 1375, 12810, 338, 1869, 710, 12, 39, 2305, 464, 9334, 344, 388, 1906, 464, 16291, 30426, 5665, 318, 257, 9566, 4783, 1626, 262, 2059, 286, 13797, 7611, 287, 13643, 11, 13797, 13, 632, 3407, 3624, 6832, 290, 1811, 28814, 20883, 2059, 16291, 11, 290, 36550, 366, 464, 16291, 1, 319, 262, 7611, 13, 383, 6403, 373, 4920, 355, 262, 21336, 1171, 9901, 286, 262, 1181, 11, 290, 10439, 286, 3756, 4172, 6, 11989, 290, 14850, 423, 9713, 994, 13, 198, 198, 464, 4783, 318, 635, 2383, 329, 663, 8112, 351, 262, 3026, 2489, 3356, 1141, 262, 30093, 4544, 16352, 286, 20033, 290, 262, 3649, 2597, 262, 5618, 1230, 1718, 284, 12201, 9758, 2489, 286, 15557, 13, 30093, 4544, 373, 11521, 416, 262, 20753, 286, 3700, 367, 13, 40378, 11, 281, 5510, 12, 7437, 2422, 9298, 11, 319, 3267, 352, 11, 20033, 13, 554, 13797, 287, 262, 2121, 286, 20033, 11, 612, 373, 6590, 6625, 284, 2184, 12, 24071, 748, 1533, 43068, 286, 262, 6403, 13, 220, 383, 3685, 2672, 9572, 416, 262, 5618, 1230, 284, 1805, 262, 3747, 286, 4290, 13, 198, 198, 44, 36897, 338, 13938, 373, 3940, 416, 23766, 319, 262, 7611, 11, 416, 1111, 2330, 2444, 290, 2354, 26718, 1023, 508, 9272, 612, 422, 1088, 262, 1181, 13, 383, 38622, 1718, 1295, 1708, 2184, 5370, 329, 11812, 286, 1171, 9856, 6712, 11, 1141, 262, 3026, 2489, 3356, 13, 770, 9566, 4783, 373, 11032, 355, 257, 471, 13, 50, 13, 2351, 30426, 6379, 4102, 319, 3267, 767, 11, 3648, 13, 357, 1212, 743, 407, 423, 587, 3414, 7271, 1566, 3267, 1478, 2014, 198, 198, 36, 3639, 286, 262, 4783, 198, 43525, 379, 262, 3641, 286, 262, 2059, 286, 13797, 7611, 11, 262, 4783, 4909, 3624, 8233, 6832, 14921, 319, 2059, 16291, 11, 543, 38932, 281, 11087, 2219, 1989, 17494, 366, 464, 16291, 553, 257, 9566, 2524, 287, 262, 4783, 13, 383, 3624, 6832, 2291, 262, 9334, 344, 388, 11819, 11, 3719, 10187, 4789, 11, 262, 9325, 701, 5136, 329, 4037, 10422, 357, 4002, 355, 262, 366, 56, 1, 11819, 379, 262, 640, 286, 748, 1533, 43068, 290, 2961, 355, 262, 366, 19620, 32939, 12340, 290, 30252, 11, 16509, 32174, 11, 15716, 601, 11, 16754, 11, 290, 2631, 397, 1118, 18586, 37765, 24350, 13, 383, 4783, 635, 3407, 262, 6056, 36869, 287, 262, 3641, 286, 383, 16291, 11, 262, 21900, 33075, 287, 383, 16291, 11, 290, 2059, 16291, 13, 198, 198, 31633, 344, 388, 11819, 220, 198, 198, 818, 262, 6403, 338, 1903, 1528, 11, 262, 9334, 344, 388, 11819, 373, 262, 691, 8233, 4645, 11, 5627, 257, 19143, 6899, 11, 1811, 32579, 11, 262, 12829, 9730, 11, 257, 41917, 13257, 11, 290, 262, 5888, 13, 383, 9334, 344, 388, 318, 783, 973, 329, 262, 6403, 338, 3662, 9730, 13, 6363, 951, 388, 2817, 43562, 318, 7997, 319, 262, 1743, 36893, 286, 262, 6403, 11, 1863, 351, 262, 3128, 286, 9323, 13, 28477, 287, 1248, 2780, 284, 262, 9824, 286, 7068, 3977, 38403, 11, 262, 2615, 318, 262, 13325, 319, 7611, 290, 24580, 351, 663, 16636, 13, 198, 198, 464, 16291, 198, 198, 464, 16291, 318, 11191, 416, 2059, 16291, 11, 257, 2975, 3562, 329, 530, 12, 1014, 4979, 13, 383, 1989, 4909, 26210, 290, 7842, 22703, 7150, 11, 20237, 286, 36209, 444, 11, 290, 20628, 274, 286, 8701, 13, 317, 6147, 6056, 36869, 6296, 379, 262, 3641, 286, 262, 4077, 11, 7351, 355, 257, 12575, 329, 262, 24058, 13532, 832, 262, 1989, 13, 4619, 262, 3095, 12, 35073, 26425, 4289, 11, 383, 16291, 468, 587, 262, 25397, 966, 290, 9566, 4755, 286, 262, 30093, 4544, 7611, 13, 198, 198, 34227, 36869, 198, 198, 464, 6056, 36869, 468, 6204, 287, 262, 3641, 286, 383, 16291, 1201, 20033, 13, 6363, 17214, 2779, 373, 12006, 287, 4751, 13, 5856, 262, 5863, 748, 1533, 43068, 23766, 11, 257, 1966, 30093, 4544, 4346, 2137, 19952, 262, 16825, 287, 281, 3626, 284, 4729, 16352, 364, 6, 3241, 290, 11508, 606, 284, 467, 1363, 13, 198, 198, 18546, 5702, 378, 33075, 198, 198, 32, 38356, 35127, 783, 6296, 287, 262, 976, 2292, 810, 262, 21900, 33075, 6204, 422, 40538, 1566, 340, 373, 3888, 319, 2901, 1478, 11, 12131, 13, 220, 383, 21900, 33075, 373, 3888, 284, 262, 2524, 286, 257, 7511, 1810, 27316, 287, 257, 384, 10341, 1989, 286, 7611, 13, 198, 198, 464, 21900, 33075, 4909, 257, 850, 12, 28665, 35458, 287, 262, 35674, 286, 257, 16669, 11, 45100, 351, 262, 1708, 25, 366, 2514, 3954, 21900, 5542, 11, 45278, 12, 1507, 2996, 11, 9966, 35727, 28972, 7006, 45937, 471, 13, 35, 13, 34, 526, 357, 17013, 360, 13441, 286, 262, 45252, 8, 290, 257, 21900, 10686, 2045, 656, 262, 5253, 290, 4769, 257, 11575, 379, 465, 1735, 13, 220, 632, 318, 1690, 474, 48343, 6412, 284, 416, 262, 30093, 4544, 290, 13643, 5348, 355, 262, 366, 12227, 1295, 16383, 526, 198, 198, 21009, 16291, 198, 198, 21009, 16291, 318, 257, 220, 3094, 2835, 10755, 351, 12527, 1022, 262, 366, 56, 1, 11819, 290, 16754, 4789, 11, 290, 319, 2035, 1735, 286, 262, 9334, 344, 388, 11, 4955, 1895, 284, 584, 3354, 286, 262, 7611, 13, 198, 198, 12679, 10187, 4789, 198, 198, 464, 5706, 27867, 11819, 11, 783, 11032, 355, 3719, 10187, 4789, 11, 373, 3170, 287, 37272, 13, 5856, 262, 748, 1533, 43068, 23766, 319, 2693, 1542, 11, 20033, 11, 2444, 6265, 656, 262, 2615, 290, 9617, 17958, 313, 709, 24554, 12134, 422, 663, 9168, 379, 2717, 290, 11107, 5672, 19584, 1088, 383, 16291, 13, 198, 198, 9914, 5277, 4789, 198, 198, 9914, 5277, 4789, 373, 530, 286, 1811, 6832, 543, 2444, 458, 917, 1068, 329, 16352, 2587, 287, 20033, 13, 20551, 278, 572, 422, 262, 734, 12, 13571, 1388, 2665, 318, 257, 8286, 2665, 5884, 416, 734, 5017, 1208, 363, 43613, 13, 770, 2665, 635, 4909, 734, 3923, 290, 318, 4622, 1035, 316, 290, 34116, 422, 262, 1388, 2665 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 16061, 329, 31982, 357, 10396, 13, 8644, 11, 9788, 13, 1849, 6420, 1906, 6052, 737, 198, 198, 19927, 198, 198, 8086, 3890, 198, 383, 5726, 23474, 25, 198, 50, 296, 647, 85, 519, 417, 11, 347, 29142, 849, 14064, 4188, 390, 8591, 269, 13, 390, 449, 13, 357, 9414, 385, 14002, 11, 1248, 6420, 828, 2873, 13, 951, 13, 807, 3134, 13, 19862, 15089, 220, 198, 44, 9116, 297, 18738, 487, 287, 509, 1980, 831, 2588, 1134, 261, 11, 264, 13, 85, 15089, 220, 198, 48098, 78, 18042, 10077, 353, 11, 399, 3674, 565, 1352, 357, 818, 5907, 65, 30915, 11, 1248, 5892, 828, 314, 11, 49327, 13, 198, 198, 1314, 6659, 27244, 198, 1433, 2091, 7040, 198, 1558, 400, 12, 14792, 7897, 4804, 15379, 198, 1558, 400, 12, 14792, 7897, 7993, 7835, 37275, 1547, 464, 7492, 18334, 31072, 2209, 5279, 2428, 287, 9111, 11059, 11, 287, 2882, 284, 366, 8388, 12, 29797, 1, 9111, 25231, 13, 198, 198, 4821, 284, 734, 6809, 379, 262, 7492, 18334, 3249, 11, 262, 2457, 1351, 286, 9949, 373, 14102, 416, 4941, 284, 734, 4553, 8341, 15937, 416, 1123, 286, 262, 734, 31454, 12330, 4671, 508, 550, 4987, 284, 262, 3249, 284, 2112, 511, 5400, 13, 1881, 1351, 373, 14275, 416, 5213, 9123, 290, 43978, 11, 262, 584, 416, 7148, 36933, 319, 8378, 286, 4779, 2024, 290, 17604, 13, 198, 198, 6214, 635, 220, 628, 6035, 690, 21983, 198, 4913, 329, 31752, 1869, 2894, 290, 14381, 2894, 198, 49107, 278, 31752, 1869, 2894, 290, 14381, 2894, 198, 6288, 338, 968, 4037, 10628, 357, 46559, 3824, 8, 198, 198, 16130, 290, 10288, 198, 198, 33, 45689, 220, 628, 16787, 11, 2094, 13514, 13, 383, 554, 5731, 12, 32065, 41029, 25, 317, 18063, 64, 329, 6416, 1042, 13, 5675, 27466, 11, 7055, 25, 14372, 4897, 2097, 11, 7795, 13, 198, 1902, 463, 368, 11, 13329, 317, 13, 366, 32, 18261, 284, 2940, 42971, 6, 34959, 286, 262, 7492, 18334, 33322, 31072, 1911, 4913, 286, 262, 27834, 605, 383, 2770, 7023, 6073, 357, 21113, 2599, 39135, 1906, 27033, 13, 198, 1902, 463, 368, 11, 13329, 290, 23092, 350, 726, 400, 601, 13, 383, 29025, 3824, 290, 262, 20247, 12, 8199, 6815, 9111, 2345, 31257, 88, 13, 19250, 11, 11287, 25, 9765, 805, 290, 6479, 805, 43403, 11, 5075, 13, 198, 32767, 29937, 11, 311, 13, 337, 13, 357, 1640, 262, 15719, 737, 366, 3118, 805, 768, 262, 9111, 1911, 15957, 6440, 25, 317, 4913, 286, 337, 567, 13624, 2795, 11, 6244, 13, 198, 24754, 11925, 21041, 11, 1757, 371, 13, 6711, 13, 366, 2061, 7994, 262, 705, 41394, 6366, 15537, 6, 29025, 3824, 1701, 1736, 2304, 5049, 27420, 1467, 357, 16942, 2599, 513, 1906, 24, 13, 198, 399, 1046, 24738, 11, 17608, 13, 366, 464, 2399, 12, 392, 12, 39, 364, 9111, 1911, 383, 968, 1971, 3782, 838, 3945, 6244, 13, 198, 15744, 1136, 83, 11, 12246, 402, 13, 357, 1640, 262, 15719, 737, 366, 4342, 22869, 347, 18764, 1911, 15957, 6440, 3035, 11, 6244, 13, 198, 350, 726, 400, 601, 11, 23092, 47813, 13, 366, 3792, 262, 29025, 3824, 16463, 913, 287, 663, 21415, 286, 20247, 30, 1400, 526, 19486, 3199, 287, 13624, 6288, 767, 3267, 6244, 13, 198, 350, 726, 400, 601, 11, 23092, 290, 13329, 1902, 463, 368, 13, 383, 20247, 12, 8199, 6815, 9111, 2345, 31257, 88, 25, 13859, 278, 262, 11066, 3129, 6269, 286, 1793, 338, 23087, 13, 19250, 11, 11287, 25, 9765, 805, 290, 6479, 805, 43403, 11, 4751, 13, 198, 11089, 3464, 11, 406, 8822, 13, 383, 9678, 286, 1793, 287, 3594, 25, 10056, 5142, 329, 42525, 287, 9111, 33322, 13, 5675, 27466, 11, 7055, 25, 6372, 1014, 13661, 11, 6244, 13, 220, 198, 42971, 11, 2940, 406, 13, 366, 11297, 22852, 287, 262, 20247, 12, 32065, 41029, 25, 317, 18261, 284, 23092, 350, 726, 400, 601, 290, 13329, 1902, 463, 368, 1911, 554, 17551, 402, 13, 1446, 2398, 494, 290, 1854, 357, 5379, 737, 383, 4427, 286, 9111, 11059, 25, 4440, 12364, 1793, 338, 9678, 13, 5675, 27466, 11, 7055, 25, 1168, 623, 712, 272, 11, 5816, 13, 198, 42971, 11, 2940, 406, 13, 4307, 24707, 25595, 27514, 383, 13879, 286, 9111, 33322, 1222, 20247, 33222, 13, 4225, 53, 45826, 4332, 11, 7795, 13, 198, 198, 41506, 6117, 220, 198, 7492, 18334, 31072, 851, 4866, 379, 9111, 12, 4965, 50194, 13, 785, 11, 13012, 416, 3899, 360, 13, 1526, 9319, 68, 13, 198, 198, 33, 856, 6300, 290, 25231, 198, 41394, 290, 13624, 198, 20298, 414, 290, 3592, 287, 262, 1578, 1829, 29458, 9966, 406, 600, 1008, 357, 23, 3945, 1248, 1828, 287, 3059, 1219, 49173, 11, 968, 1971, 784, 642, 1737, 46244, 287, 10598, 8, 373, 281, 1605, 920, 296, 7451, 13, 679, 2714, 262, 2292, 286, 1812, 7232, 296, 7451, 422, 1248, 6659, 1708, 262, 6282, 286, 428, 1281, 416, 262, 2717, 1230, 13, 679, 4983, 1566, 46244, 13, 406, 600, 1008, 2630, 15897, 5654, 9473, 290, 1511, 286, 262, 6358, 319, 262, 2529, 16421, 290, 584, 19435, 286, 262, 1812, 286, 968, 1971, 319, 13833, 44283, 290, 2529, 16421, 220, 19435, 3917, 351, 14510, 13, 2399, 4947, 318, 287, 262, 968, 1971, 1812, 9594, 13, 198, 198, 19927, 198, 198, 2025, 5177, 46244, 685, 43, 600, 1008, 11, 449, 13, 317, 8183, 220, 7232, 296, 7451, 338, 27573, 11175, 357, 18, 8, 4974, 220, 198, 2025, 5177, 46244, 25, 685, 43, 600, 1008, 11, 449, 13, 317, 8183, 220, 7232, 296, 7451, 3261, 27621, 12, 17430, 220, 198, 32434, 11, 406, 13, 440, 13, 15533, 7443, 286, 5625, 7232, 296, 1435, 357, 50, 28030, 5183, 317, 710, 10210, 4997, 4176, 82, 13, 14136, 3846, 13, 7778, 13, 9508, 1395, 10, 16, 12, 20, 2414, 13, 220, 198, 44, 439, 271, 11, 317, 13, 16382, 1605, 7232, 296, 9251, 13, 30595, 40429, 13, 4332, 968, 32211, 220, 6740, 1906, 4051, 11, 4347, 12907, 13, 220, 198, 16748, 6286, 11, 367, 13, 28684, 220, 24229, 902, 286, 7232, 296, 2770, 7443, 41461, 2773, 15644, 3311, 349, 26448, 286, 6065, 290, 18715, 13, 14939, 11, 6835, 11, 26372, 416, 262, 6434, 352, 352, 1906, 34626, 11, 6298, 309, 1878, 13, 299, 333, 4347 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 12, 12726, 828, 763, 12, 15454, 290, 4640, 3437, 286, 399, 7597, 11, 763, 12, 15454, 286, 383, 19460, 457, 873, 6, 10005, 284, 262, 11950, 198, 7590, 7197, 9530, 357, 6286, 8735, 828, 3785, 1341, 729, 508, 7997, 4505, 379, 262, 1946, 10633, 14935, 287, 37126, 13, 198, 11526, 35766, 357, 6286, 13540, 828, 2177, 2159, 7171, 8783, 290, 18532, 18086, 329, 262, 9371, 29374, 11, 12767, 20169, 11, 8857, 36552, 11, 6995, 27463, 11, 290, 15528, 4696, 36199, 13, 198, 29874, 360, 13, 40365, 11, 1578, 1829, 5407, 3818, 2823, 290, 2923, 416, 257, 7570, 1908, 563, 287, 12863, 11, 981, 14523, 4430, 4568, 287, 3687, 4486, 13, 198, 198, 16130, 198, 198, 41506, 6117, 198, 9908, 417, 2409, 9319, 3334, 3961, 15887, 198, 9908, 417, 2409, 9319, 3334, 3961, 366, 13290, 47917, 3961, 13118, 5075, 12, 13330, 1600, 14493, 2732, 286, 7868, 198, 9908, 417, 2409, 9319, 3334, 3961, 5313, 2443, 379, 3878, 20357, 5313, 2524, 198, 31373, 11, 2297, 12083, 304, 12, 19726, 4994, 3992, 2524, 198, 198, 32259, 278, 11, 14493, 198, 25234, 261, 11, 14493, 198, 26130, 82, 287, 7011, 3245, 3418, 11, 14493, 198, 15202, 1029, 4266, 287, 14493, 271, 257, 7906, 12, 2364, 2008, 983, 3670, 287, 262, 2656, 13421, 1869, 2168, 422, 35936, 13, 632, 318, 257, 1597, 18640, 983, 326, 318, 2092, 284, 262, 3096, 983, 2892, 35894, 11, 287, 543, 1938, 290, 262, 3644, 9552, 1011, 4962, 1016, 1088, 257, 900, 286, 5884, 13332, 11, 7067, 510, 3119, 11, 290, 11642, 584, 6809, 5602, 618, 484, 1956, 319, 883, 9029, 13, 198, 198, 54, 813, 1222, 6498, 645, 4631, 29828, 373, 2716, 319, 3269, 1315, 11, 9656, 329, 262, 7884, 13851, 691, 287, 2869, 11, 996, 281, 14880, 14684, 3594, 11059, 290, 257, 3776, 6387, 2196, 743, 423, 587, 287, 2478, 13, 17684, 16307, 329, 262, 983, 422, 4885, 7776, 9293, 468, 587, 32343, 3595, 13, 198, 198, 43241, 198, 54, 813, 1222, 6498, 645, 4631, 29828, 25, 1320, 338, 20494, 318, 257, 1597, 18640, 983, 287, 543, 262, 2137, 19769, 1871, 1811, 3435, 287, 262, 2656, 13421, 1869, 2168, 290, 2307, 274, 351, 584, 1938, 393, 262, 3644, 9552, 287, 14080, 9029, 286, 3119, 13, 383, 3435, 2291, 8299, 11, 1583, 13, 4401, 11, 1583, 13, 370, 813, 11, 1583, 13, 327, 793, 441, 11, 290, 12612, 48955, 13, 5501, 18399, 318, 1813, 257, 1210, 11, 3867, 257, 1728, 1271, 286, 9029, 319, 262, 3096, 13, 1002, 484, 1956, 319, 257, 3119, 6616, 11, 484, 389, 1813, 262, 3038, 284, 2822, 340, 351, 257, 1728, 546, 286, 1168, 11870, 357, 1169, 983, 338, 7395, 737, 1119, 460, 788, 3877, 584, 3435, 5602, 618, 484, 1956, 319, 326, 2615, 13, 2102, 11, 584, 3435, 460, 635, 2822, 636, 286, 262, 976, 6616, 11, 5086, 1123, 4870, 284, 3877, 257, 4833, 2033, 286, 5602, 13, 2773, 24438, 3994, 4116, 326, 2728, 2972, 3048, 319, 262, 3096, 884, 355, 8620, 3119, 4536, 393, 262, 2478, 1241, 286, 257, 2615, 13, 383, 983, 338, 5442, 3403, 460, 7565, 6906, 319, 262, 900, 3173, 13, 383, 8464, 743, 307, 262, 2095, 351, 262, 749, 6898, 9029, 11, 262, 749, 5637, 1168, 11870, 11, 393, 262, 749, 13312, 13, 198, 198, 41206, 198, 54, 813, 1222, 6498, 645, 4631, 29828, 25, 1320, 338, 20494, 373, 4166, 416, 35936, 1141, 257, 640, 618, 262, 13421, 1869, 8663, 373, 379, 663, 6001, 286, 663, 11533, 13, 7171, 6802, 3873, 20770, 554, 1878, 1726, 550, 845, 1310, 9750, 287, 262, 2478, 286, 370, 813, 1222, 6498, 645, 4631, 29828, 25, 1320, 338, 20494, 11, 2391, 18492, 262, 3002, 1242, 290, 262, 649, 2095, 797, 1130, 3609, 13, 1649, 5922, 262, 983, 11, 262, 1074, 2227, 284, 2291, 355, 867, 17317, 422, 2180, 8714, 287, 262, 2168, 355, 1744, 13, 2102, 11, 484, 6165, 3066, 284, 2666, 2119, 329, 281, 2656, 2095, 326, 3296, 714, 11602, 351, 262, 649, 983, 13, 1649, 11142, 257, 6512, 2095, 15494, 837, 530, 286, 262, 1074, 1866, 2984, 961, 340, 355, 837, 7186, 287, 797, 1130, 3609, 338, 28204, 284, 262, 4693, 13, 198, 198, 464, 3269, 9656, 2071, 286, 262, 10816, 7093, 6289, 9714, 8096, 370, 813, 1222, 6498, 645, 4631, 29828, 355, 636, 286, 257, 12714, 2708, 329, 262, 9656, 18110, 27828, 5438, 13, 7659, 1359, 262, 983, 355, 366, 43471, 5926, 1600, 262, 2708, 772, 550, 257, 22032, 9593, 3594, 2420, 13, 1052, 14880, 14684, 3776, 6387, 2196, 373, 635, 287, 262, 2499, 416, 262, 4960, 1664, 20446, 11, 543, 5610, 262, 983, 319, 262, 10824, 2443, 286, 663, 1743, 3052, 11, 290, 262, 21224, 286, 543, 373, 11911, 287, 262, 9714, 19525, 1000, 461, 13, 7286, 13704, 13231, 43354, 373, 4497, 329, 262, 6597, 287, 428, 2196, 13, 198, 198, 3041, 4516, 198, 198, 41000, 16307, 329, 370, 813, 1222, 6498, 645, 4631, 29828, 25, 1320, 338, 20494, 2354, 2869, 468, 587, 3595, 13, 3776, 32565, 20420, 4302, 11959, 83, 290, 10799, 2531, 263, 1043, 262, 5365, 18611, 983, 284, 307, 286, 645, 1948, 1393, 284, 2687, 584, 621, 13421, 1869, 3296, 13, 11753, 35240, 286, 352, 8577, 13, 785, 30114, 515, 11, 366, 2025, 5629, 414, 286, 262, 16513, 291, 296, 6980, 11, 428, 1330, 3670, 373, 257, 2829, 366, 8777, 286, 5155, 26793, 7635, 3096, 983, 351, 257, 13421, 1869, 32702, 1377, 5337, 11, 475, 8941, 6393, 526, 5776, 15546, 283, 5464, 18726, 2574, 3743, 1444, 340, 257, 366, 26949, 1365, 12, 2364, 12, 33224, 2859, 24197, 656, 13421, 12, 2379, 1696, 414, 526, 2102, 11, 407, 477, 5009, 286, 262, 983, 423, 587, 4633, 13, 39408, 31942, 286, 14087, 301, 25011, 6241, 6227, 329, 262, 983, 338, 2650, 319, 262, 16591, 338, 15595, 24371, 2139, 13, 679, 1034, 1389, 326, 340, 318, 366, 37739, 12062, 1474, 355, 7818, 355, 257, 13421, 1869, 3096, 983, 815, 307, 1, 290, 326, 663, 2972, 3048, 290, 5442, 3403, 7264, 340, 257, 881, 5443, 8761, 621, 2892, 35894, 13, 198, 198, 6214, 635, 628, 20425, 3530, 198, 198, 19927, 198, 198, 41506, 6117, 198, 15610, 785, 8060, 3052, 198, 28529, 4631, 805, 3052, 220, 198, 198, 24465, 2008, 1830, 198, 24749, 18640, 1830 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 679, 373, 4642, 287, 46339, 11, 14493, 13, 220, 679, 6198, 32440, 287, 4771, 9280, 11, 5442, 262, 3869, 18279, 379, 262, 15761, 1578, 1829, 11291, 3661, 803, 24782, 351, 5212, 8595, 258, 2185, 18519, 6484, 13, 220, 679, 1568, 15293, 284, 14729, 33051, 290, 31230, 510, 351, 575, 26982, 710, 23198, 13, 220, 383, 18545, 1839, 262, 21709, 471, 13, 50, 13, 3670, 11, 4624, 5544, 379, 262, 21794, 10633, 11514, 5776, 11, 290, 5201, 8150, 379, 326, 614, 338, 2159, 11291, 3661, 803, 10749, 13, 220, 679, 1568, 20312, 351, 2449, 2516, 27320, 290, 1839, 262, 22101, 18279, 379, 262, 25325, 471, 13, 50, 13, 24782, 13, 198, 198, 47, 3468, 198, 198, 7, 4480, 23198, 8, 198, 198, 7, 4480, 27320, 8, 198, 198, 23709, 17349, 198, 7, 4480, 6484, 8, 198, 198, 19927, 198, 198, 19156, 2451, 268, 768, 338, 909, 270, 2838, 198, 198, 1129, 1731, 27244, 198, 6999, 7040, 198, 7437, 4257, 4771, 35837, 198, 7437, 4257, 5166, 1341, 8605, 198, 46, 6760, 291, 3785, 1341, 8605, 286, 262, 1578, 1829, 198, 11337, 1341, 8605, 379, 262, 21794, 10633, 14935, 32718, 360, 1697, 396, 977, 11130, 5152, 220, 26228, 376, 1921, 4090, 9677, 39, 5653, 376, 7397, 47, 8782, 1565, 57, 8697, 357, 6286, 838, 2693, 26352, 8, 318, 281, 8685, 12, 6286, 6638, 31207, 1900, 329, 465, 2478, 286, 262, 1903, 9572, 2594, 329, 11823, 5110, 11916, 287, 1862, 661, 13, 198, 198, 26545, 198, 9742, 38, 5152, 318, 8129, 286, 17582, 21235, 3893, 379, 262, 2059, 286, 14819, 13, 679, 468, 3194, 517, 621, 33759, 12720, 12, 32974, 6685, 351, 517, 621, 642, 3104, 940, 33499, 11, 3199, 287, 22790, 1390, 383, 45122, 11, 262, 3517, 4913, 286, 28897, 11, 262, 1605, 4913, 286, 28897, 290, 262, 8366, 4913, 286, 4505, 13, 679, 318, 4640, 3437, 286, 440, 563, 5235, 11, 383, 2351, 9072, 286, 42525, 287, 17582, 21235, 3893, 290, 16636, 5464, 286, 12556, 43673, 287, 28897, 3199, 416, 262, 4037, 12556, 7562, 5958, 5396, 13, 11130, 5152, 635, 25828, 7634, 329, 262, 9323, 286, 262, 6638, 1230, 10588, 2351, 17582, 21235, 3893, 5693, 11, 543, 2627, 1182, 13200, 11, 290, 318, 257, 16636, 3096, 2888, 286, 326, 12684, 13, 11130, 5152, 2826, 257, 1994, 2597, 287, 3756, 262, 1486, 11, 15364, 290, 20796, 510, 286, 1182, 13200, 2594, 13, 198, 198, 20457, 9572, 287, 37926, 198, 9742, 38, 5152, 290, 465, 7810, 4166, 281, 3164, 329, 1862, 661, 508, 423, 7460, 286, 37926, 329, 262, 717, 640, 11, 1912, 379, 262, 412, 10246, 2149, 15760, 287, 14819, 13, 220, 770, 412, 10246, 2149, 15760, 468, 2826, 257, 1994, 636, 287, 281, 1903, 37926, 3513, 23457, 329, 43557, 290, 468, 2957, 284, 2383, 4975, 286, 5110, 1535, 2594, 11, 2592, 287, 262, 1578, 7526, 13, 220, 383, 412, 10246, 2149, 1430, 338, 3164, 318, 1266, 7997, 416, 262, 4929, 9546, 366, 32, 24695, 287, 640, 526, 317, 6692, 2478, 318, 262, 350, 11598, 15760, 25, 257, 2139, 329, 1862, 661, 351, 850, 12, 400, 10126, 7460, 508, 389, 379, 2526, 286, 5922, 37926, 13, 198, 198, 24243, 34109, 286, 412, 10246, 2149, 3751, 326, 340, 373, 407, 691, 4050, 3688, 284, 262, 2180, 4569, 2746, 286, 1337, 475, 326, 340, 373, 635, 1575, 4050, 13, 220, 8129, 11130, 5152, 373, 11343, 262, 1979, 21629, 9064, 287, 5816, 287, 9465, 286, 465, 670, 319, 262, 412, 10246, 2149, 1430, 13, 198, 198, 9742, 38, 5152, 468, 635, 2957, 2267, 290, 649, 4981, 286, 1337, 329, 1903, 9572, 351, 1862, 661, 508, 5380, 1037, 329, 7460, 290, 23992, 11, 290, 389, 1900, 284, 307, 379, 2526, 329, 517, 6049, 37926, 11, 475, 3025, 37162, 7460, 389, 1342, 8157, 11, 1390, 262, 779, 286, 14178, 19901, 621, 32867, 2924, 6210, 14103, 13, 679, 468, 7560, 257, 1767, 286, 2267, 284, 5004, 262, 3376, 8379, 286, 3513, 11, 326, 3407, 3795, 418, 9402, 19901, 13, 198, 198, 9742, 38, 5152, 468, 25828, 284, 262, 6638, 1230, 284, 2251, 257, 2260, 3127, 286, 1903, 37926, 9572, 19788, 11, 1912, 319, 2370, 326, 1903, 3513, 743, 2987, 890, 12, 4354, 10906, 13, 679, 468, 3111, 351, 477, 5389, 286, 4819, 287, 4505, 284, 4474, 290, 2987, 1903, 37926, 2594, 13, 383, 1903, 37926, 2746, 286, 1337, 468, 29588, 20953, 1104, 11, 290, 373, 6198, 10588, 739, 262, 12981, 446, 7882, 1230, 287, 2813, 13, 198, 198, 18559, 291, 6583, 198, 9742, 38, 5152, 468, 7452, 257, 1271, 286, 25094, 286, 465, 670, 13, 198, 198, 20457, 9572, 329, 37926, 373, 7317, 1138, 351, 6625, 2233, 284, 257, 4752, 3092, 286, 2370, 13, 554, 2813, 11, 257, 17895, 2423, 8391, 25, 366, 1858, 318, 617, 1104, 329, 2041, 1417, 1903, 9572, 2594, 11, 475, 2252, 9867, 561, 307, 18763, 11, 290, 612, 318, 257, 1808, 286, 1771, 8810, 389, 9456, 526, 2773, 9188, 423, 7189, 326, 11130, 5152, 468, 25291, 262, 2370, 329, 1903, 9572, 290, 326, 890, 12, 4354, 4034, 290, 3034, 10653, 423, 407, 587, 4920, 11, 290, 530, 468, 3750, 355, 1290, 355, 26116, 326, 11130, 5152, 468, 366, 10057, 4142, 38796, 1, 262, 6638, 5070, 546, 262, 3450, 290, 10939, 286, 465, 12660, 2050, 319, 412, 10246, 2149, 416, 2984, 301, 803, 262, 6764, 286, 262, 1630, 1448, 13, 198, 198, 6385, 777, 25094, 547, 925, 2252, 2370, 468, 22425, 13, 33005, 14579, 1241, 352, 2370, 783, 7160, 21135, 262, 13530, 286, 1903, 9572, 329, 717, 4471, 37926, 220, 290, 329, 883, 379, 14764, 12, 8929, 2526, 329, 37926, 13, 12556, 9572, 2594, 329, 37926, 423, 587, 4050, 287, 8868, 12430, 3965, 220, 290, 4955, 257, 1441, 319, 4896, 13, 1119, 389, 635, 257, 9871, 2139, 2746, 329, 7008, 13, 554, 262, 1613, 734, 4647, 34109, 287, 4492, 290, 16490, 423, 3402, 326, 1903, 9572, 318, 4050, 625, 262, 717, 734, 812, 286, 1337, 379, 1551, 11, 475, 618, 3871, 1441, 284, 4569, 1337, 617, 286, 262, 8810, 389, 2626, 13, 5398, 1366, 9217, 326, 611, 3871, 3520, 287, 1903, 9572, 2594, 329, 1936, 812, 262, 8810, 389, 12605, 13, 198, 198, 9742, 38, 5152, 338, 5009, 319, 3501, 32867, 2924, 6210, 14103, 284, 379, 12, 19121, 1862 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 6409, 24350, 286, 16117, 357, 14881, 1894, 11, 1041, 9957, 11, 290, 8829, 737, 679, 1849, 10134, 635, 587, 28948, 276, 355, 257, 2888, 286, 262, 520, 13, 5593, 18071, 4789, 286, 18864, 9594, 13, 198, 198, 20457, 812, 290, 2422, 2139, 198, 198, 33, 1347, 373, 4642, 287, 7439, 2088, 11, 10140, 11, 262, 2368, 286, 3598, 1751, 286, 2905, 293, 290, 31275, 13452, 13, 2399, 2988, 373, 257, 24337, 42627, 508, 725, 7241, 10273, 284, 968, 8221, 13, 3574, 281, 1903, 2479, 11, 13452, 27947, 286, 5033, 257, 5701, 49032, 351, 465, 1903, 7111, 284, 5701, 22978, 2406, 422, 8680, 284, 6182, 2297, 17689, 9283, 1830, 3414, 416, 8559, 367, 2577, 88, 13, 198, 198, 7841, 286, 465, 9963, 41085, 351, 262, 3878, 22483, 11, 290, 13452, 12086, 465, 1641, 3360, 1262, 257, 6147, 31065, 284, 1394, 257, 10752, 12, 42767, 3623, 16430, 1016, 1141, 262, 7374, 284, 2148, 4894, 329, 511, 1363, 13, 554, 24414, 11, 465, 1641, 3888, 284, 10306, 11, 6835, 284, 4654, 511, 2988, 11, 508, 550, 257, 1693, 351, 262, 40911, 36289, 13, 15894, 706, 996, 11, 13452, 338, 2988, 3724, 379, 262, 2479, 286, 5125, 2233, 284, 334, 2787, 291, 22475, 3519, 284, 1029, 2910, 3833, 13, 198, 198, 33, 1347, 6027, 284, 11238, 1029, 1524, 287, 23234, 284, 1011, 257, 1336, 12, 2435, 1693, 287, 281, 3626, 284, 1104, 465, 1641, 13, 35305, 84, 5286, 416, 530, 286, 465, 7799, 11, 13452, 3066, 284, 5461, 1029, 1524, 11, 30024, 422, 6233, 3822, 3334, 3961, 287, 262, 7374, 286, 22458, 13, 2293, 21571, 11, 339, 3940, 530, 286, 465, 2460, 290, 2540, 1762, 319, 281, 6953, 23751, 30724, 8848, 12228, 319, 262, 3878, 24153, 416, 262, 10306, 1012, 10203, 7931, 5834, 13, 198, 198, 33, 1347, 4983, 319, 257, 220, 2876, 2382, 3706, 383, 1375, 35166, 11, 810, 339, 2540, 355, 279, 4337, 290, 373, 1568, 13722, 284, 1755, 4255, 290, 46412, 13, 2293, 9489, 2972, 584, 8440, 3519, 3946, 11, 13452, 7482, 284, 1716, 257, 366, 35875, 2342, 526, 317, 2672, 3518, 12452, 4602, 13452, 373, 3124, 7770, 11, 5906, 284, 28754, 1022, 262, 7577, 4077, 290, 7586, 13, 554, 31595, 329, 262, 12148, 284, 6203, 2342, 11, 13452, 12412, 2627, 8867, 329, 262, 2422, 4538, 11, 290, 373, 15937, 656, 262, 1578, 1829, 5407, 287, 2795, 1849, 1129, 3559, 13, 198, 198, 3260, 11939, 286, 465, 2422, 2139, 287, 22717, 11, 13452, 18724, 379, 357, 392, 18303, 422, 8, 6835, 1812, 2059, 13, 2399, 1903, 6332, 1416, 9222, 3451, 3017, 670, 329, 262, 4159, 4652, 29116, 286, 262, 520, 13, 5593, 18071, 13, 554, 24718, 11, 339, 373, 13722, 284, 5243, 711, 12, 1525, 12, 1759, 286, 25564, 1830, 319, 509, 55, 11380, 5243, 26, 262, 1074, 338, 5243, 30423, 561, 1445, 287, 25325, 284, 509, 11770, 55, 13, 13452, 9456, 428, 2292, 329, 3016, 477, 286, 262, 1306, 6298, 812, 13, 679, 373, 1900, 287, 520, 13, 5593, 329, 465, 16028, 9546, 366, 2504, 338, 257, 8464, 40754, 543, 373, 531, 706, 790, 983, 326, 262, 18071, 550, 1839, 13, 198, 198, 818, 3090, 284, 465, 670, 351, 262, 18071, 11, 13452, 635, 7366, 25815, 319, 867, 2260, 6332, 1416, 5773, 11, 1390, 5243, 5197, 286, 1248, 3115, 8693, 82, 290, 1367, 2159, 7171, 13, 2773, 286, 465, 5863, 711, 12, 1525, 12, 1759, 3848, 2291, 262, 10092, 2513, 12, 2364, 1363, 4539, 2277, 416, 440, 3019, 494, 4176, 287, 3776, 642, 286, 262, 12863, 2351, 4041, 10749, 7171, 11, 416, 13855, 20400, 287, 3776, 352, 286, 262, 12122, 2159, 7171, 11, 290, 416, 23965, 350, 1347, 3087, 287, 3776, 718, 286, 262, 10249, 2159, 7171, 13, 198, 198, 464, 1568, 636, 286, 465, 3451, 1043, 683, 1762, 1735, 416, 1735, 287, 262, 18071, 18600, 351, 465, 3367, 5689, 13452, 11, 508, 635, 468, 17450, 284, 2260, 6332, 1416, 9222, 31198, 13, 198, 198, 37837, 2139, 198, 3260, 30024, 422, 1029, 1524, 11, 339, 3111, 319, 1588, 8440, 16659, 326, 14113, 262, 3878, 24153, 13, 13452, 373, 15937, 656, 262, 471, 13, 50, 13, 1849, 45272, 287, 2795, 1849, 1129, 3559, 13, 383, 3518, 414, 286, 13452, 338, 670, 319, 262, 3878, 24153, 1364, 287, 683, 922, 3518, 4006, 379, 262, 640, 339, 5982, 262, 5407, 13, 13452, 11, 508, 373, 678, 812, 1468, 11, 6204, 220, 7331, 11, 290, 20261, 764, 2399, 717, 16237, 373, 3098, 12, 958, 3323, 3047, 11, 290, 373, 1908, 284, 6401, 412, 436, 271, 11, 6025, 284, 17777, 465, 1511, 12, 10464, 4096, 3047, 37086, 13, 198, 198, 3260, 14339, 465, 4096, 3047, 287, 21577, 11, 13452, 373, 11032, 355, 281, 21187, 11, 290, 8686, 262, 4279, 286, 3990, 282, 13, 554, 3090, 284, 465, 21187, 10741, 11, 13452, 14888, 287, 21576, 355, 257, 1296, 286, 27702, 13, 554, 3945, 15761, 11, 13452, 14338, 503, 284, 262, 3427, 13766, 286, 262, 1175, 11, 810, 339, 373, 8686, 284, 509, 5834, 11, 6298, 400, 27749, 35588, 11, 860, 400, 27749, 7458, 13, 198, 198, 7191, 262, 1755, 286, 2805, 767, 11, 15761, 11, 13452, 290, 465, 8330, 44447, 12606, 262, 24177, 18738, 487, 10290, 379, 262, 3240, 286, 3982, 11286, 11, 4486, 13, 1578, 1829, 3386, 6, 4388, 8006, 286, 428, 7696, 2957, 284, 262, 5838, 286, 3982, 11286, 422, 2805, 767, 1906, 1495, 13, 1550, 262, 3329, 286, 2805, 1315, 11, 13452, 373, 262, 8244, 3554, 286, 257, 13969, 326, 1625, 739, 2679, 2046, 287, 262, 3982, 11286, 6516, 13, 370, 6302, 287, 465, 1364, 41031, 290, 1232, 416, 427, 48766, 11, 13452, 2722, 3315, 3513, 319, 262, 13480, 422, 262, 691, 6924, 509, 1664, 550, 379, 326, 640, 11, 5278, 12182, 456, 72, 13, 679, 2722, 2252, 3315, 3513, 379, 262, 26607, 400, 3611, 5407, 9256, 287, 1004, 18580, 11, 4881, 11, 810, 339, 373, 11343, 262, 17265, 8894, 13, 13452, 11911, 11, 290, 464, 1962, 31682, 5171, 282, 1923, 11, 635, 1900, 355, 262, 5838, 286, 1962, 31682, 5171, 282, 290, 14873, 268, 2434, 14680, 6305, 36170, 416, 1605, 3386, 11, 373, 257, 2422, 1923, 8350, 1022, 767, 2932, 22458, 290, 860, 3945, 21577, 319, 290, 1088, 262, 7022, 286, 1962, 31682, 5171, 282, 287 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 13, 2681, 287, 402, 1688, 11, 509, 13, 1594, 14, 25948, 65, 11, 318, 257, 5659, 23021, 13160, 416, 48566, 1703, 671, 385, 28036, 433, 287, 3035, 11, 1596, 4790, 13, 383, 5659, 23021, 318, 7781, 329, 362, 781, 1769, 11, 362, 26771, 11, 290, 13042, 13, 198, 198, 1212, 5659, 23021, 318, 287, 1115, 8650, 25, 198, 198, 2348, 1455, 305, 11, 220, 198, 1870, 415, 2879, 32703, 4267, 78, 11, 220, 198, 47, 2118, 78, 11, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 1983, 198, 1558, 4790, 33543, 198, 5377, 1930, 1756, 287, 402, 1688, 2025, 707, 259, 12585, 73, 6429, 357, 11, 4642, 2805, 1511, 11, 12923, 8, 318, 257, 18933, 4708, 44185, 508, 5341, 355, 257, 826, 736, 13, 679, 373, 262, 17490, 12, 929, 286, 38428, 2159, 13879, 4793, 351, 24884, 1025, 28515, 79, 1516, 13, 198, 198, 1544, 2826, 329, 13685, 2150, 18933, 5018, 10029, 287, 262, 3648, 27987, 6662, 4041, 1448, 9539, 13, 198, 198, 42350, 3451, 198, 198, 2025, 707, 259, 2826, 329, 13685, 2150, 18933, 5018, 10029, 1566, 262, 3430, 3421, 284, 35007, 12158, 10029, 13, 679, 373, 257, 3218, 14217, 287, 35007, 12158, 10029, 11, 2712, 355, 281, 9274, 18707, 393, 257, 826, 18707, 13, 198, 818, 2211, 11, 339, 3888, 284, 5481, 343, 321, 1578, 10029, 329, 281, 33457, 6838, 13, 20558, 6838, 1975, 1088, 220, 19567, 123, 362, 13, 20, 284, 642, 1510, 13, 679, 7685, 5341, 355, 257, 826, 736, 290, 3360, 355, 257, 826, 18707, 287, 5481, 343, 321, 1578, 13, 198, 198, 2025, 707, 259, 2826, 287, 262, 2211, 27987, 6662, 4041, 13, 679, 373, 257, 14217, 329, 2712, 329, 5481, 343, 321, 287, 262, 2211, 27987, 6662, 4041, 1028, 8427, 2501, 64, 16290, 1872, 11, 10029, 22372, 13, 679, 1625, 287, 355, 257, 15373, 1028, 32294, 2385, 311, 391, 774, 290, 2722, 257, 2266, 2657, 706, 1972, 734, 7872, 4116, 287, 262, 983, 13, 2293, 19988, 284, 262, 35825, 7108, 1052, 707, 259, 7781, 257, 13639, 1028, 28515, 88, 375, 74, 273, 379, 5481, 343, 321, 13, 679, 1625, 287, 355, 257, 15373, 329, 262, 5637, 220, 1830, 1028, 28515, 88, 375, 74, 273, 290, 412, 4169, 456, 75, 282, 13, 198, 198, 24274, 3451, 198, 198, 2202, 3426, 604, 11, 3717, 11, 1052, 707, 259, 26376, 329, 16952, 471, 1954, 379, 262, 3717, 21199, 7740, 5776, 379, 45919, 1028, 10836, 471, 1954, 13, 679, 635, 7781, 465, 717, 290, 1218, 3061, 329, 16952, 471, 1954, 1028, 5045, 273, 12, 43, 29872, 471, 1954, 379, 262, 3717, 21199, 7740, 5776, 13, 1052, 707, 259, 2826, 329, 16952, 471, 1954, 287, 262, 3050, 7740, 5776, 379, 36980, 38536, 11, 2807, 11, 290, 7781, 257, 3061, 1028, 7648, 471, 1954, 13, 198, 198, 818, 1946, 11, 339, 373, 1444, 510, 284, 262, 2260, 1074, 416, 509, 5375, 271, 2724, 2311, 321, 84, 648, 284, 711, 287, 262, 1853, 27987, 7740, 5454, 28587, 13, 198, 198, 24274, 198, 198, 24274, 4661, 198, 198, 4625, 12, 1954, 198, 198, 29478, 4662, 198, 198, 2601, 23161, 198, 43984, 32004, 12158, 198, 7542, 338, 5454, 25, 3050, 198, 12551, 5454, 25, 3050, 198, 198, 22991, 343, 321, 1578, 198, 18933, 9952, 4041, 25, 2211, 11, 1946, 11, 1853, 198, 18933, 9677, 5454, 25, 2211, 11, 1853, 198, 18933, 4041, 5454, 25, 2211, 11, 1853, 220, 198, 20182, 9952, 5454, 25, 1946, 11, 1584, 198, 14769, 8111, 5454, 25, 2211, 11, 1946, 11, 1853, 11, 1584, 198, 42859, 506, 6289, 10749, 25, 1853, 11, 1584, 198, 198, 19927, 198, 198, 41506, 6117, 198, 13118, 379, 25376, 198, 5450, 1378, 494, 13, 35634, 2189, 1014, 13, 785, 14, 32399, 14, 272, 707, 259, 12, 14396, 73, 6429, 14, 2075, 37864, 14, 198, 198, 27301, 27244, 198, 36376, 661, 198, 2025, 707, 259, 12585, 73, 6429, 198, 2025, 707, 259, 12585, 73, 6429, 198, 8021, 41003, 4346, 16355, 198, 8021, 41003, 4346, 8539, 364, 198, 2025, 707, 259, 12585, 73, 6429, 198, 2025, 707, 259, 12585, 73, 6429, 198, 2025, 707, 259, 12585, 73, 6429, 198, 2025, 707, 259, 12585, 73, 6429, 198, 37316, 364, 379, 262, 3050, 7740, 5776, 198, 2025, 707, 259, 12585, 73, 6429, 198, 817, 1872, 1033, 26646, 378, 5701, 15332, 287, 15336, 14731, 9918, 357, 1558, 3269, 1596, 2548, 1906, 21, 2932, 1248, 2931, 8, 373, 281, 1248, 400, 12, 14792, 11905, 14325, 290, 10214, 272, 396, 13, 554, 1596, 5999, 339, 373, 257, 6466, 9119, 286, 262, 8111, 7023, 286, 23475, 13, 554, 1596, 5824, 11, 339, 373, 7018, 284, 262, 1605, 18880, 49256, 7023, 287, 8857, 11, 9589, 13, 679, 3377, 465, 1568, 1204, 287, 3794, 13, 198, 198, 14662, 198, 1544, 373, 4642, 319, 1596, 3269, 1596, 2548, 287, 5882, 18113, 36363, 11, 7421, 286, 23475, 13, 262, 3367, 286, 1583, 6858, 9918, 11, 262, 1957, 14325, 13, 679, 373, 15657, 15726, 379, 26494, 78, 1524, 788, 9713, 9007, 379, 262, 2059, 286, 23475, 13, 198, 198, 42991, 2627, 281, 3687, 3794, 5834, 19014, 23923, 287, 1596, 3270, 11, 290, 3888, 284, 262, 4627, 8847, 35696, 287, 1596, 2996, 13, 679, 373, 925, 23923, 12, 24622, 286, 4627, 8847, 287, 1596, 6659, 11, 290, 6165, 14325, 12, 24622, 13, 679, 3724, 379, 4627, 8847, 290, 257, 17757, 284, 683, 416, 609, 415, 4364, 318, 6589, 379, 520, 4502, 338, 32536, 287, 4627, 8847, 13, 198, 198, 48860, 287, 30381, 6134, 290, 289, 419, 47428, 11, 339, 900, 510, 257, 10214, 36684, 11376, 287, 4627, 8847, 810, 9918, 5495, 35971, 8396, 7150, 11, 290, 42107, 351, 1642, 23938, 13, 2293, 465, 1918, 11, 262, 11376, 373, 9456, 416, 465, 3367, 12, 259, 12, 6270, 1583, 13, 6858, 20165, 13, 679, 5495, 17180, 7150, 635, 11, 290, 7194, 284, 4439, 1957, 763, 354, 500, 282, 13, 679, 2630, 319, 262, 23089, 286, 7543, 66, 1531, 11, 6891, 290, 15985, 13, 198, 198, 20630, 36684, 4941, 198, 198, 17121, 34821, 9228, 357, 1558, 4349, 1906, 1507, 1314, 8, 3706, 262, 34306, 9918, 544, 706, 683, 13, 198, 198, 19927, 220, 628, 7760, 41045, 357, 22666, 737, 28261, 286, 3517, 290, 8685, 18579, 272, 1023, 290, 31693, 2249, 333, 1023, 1390 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 319, 3945, 1367, 11, 7795, 13, 220, 1629, 262, 640, 286, 21798, 338, 1918, 11, 262, 8663, 550, 604, 5237, 10808, 287, 3933, 2585, 13, 198, 198, 11024, 14095, 25579, 198, 818, 262, 4751, 82, 11, 29618, 25289, 1597, 2458, 13, 554, 4751, 11, 340, 23791, 351, 257, 18174, 6898, 22347, 286, 383, 26078, 5834, 357, 5446, 34, 737, 554, 5075, 11, 309, 7397, 373, 9477, 416, 11312, 2113, 9620, 11, 257, 968, 1971, 12, 3106, 2839, 13598, 4896, 4081, 11, 329, 6702, 1294, 3, 22995, 1510, 13, 554, 1737, 4793, 11, 262, 2560, 1664, 9477, 20492, 4889, 2194, 338, 11, 257, 6333, 286, 9341, 17423, 10808, 635, 1900, 329, 511, 29026, 22979, 47199, 11, 290, 5929, 340, 351, 262, 29618, 6333, 11, 14583, 29618, 1222, 20492, 4889, 2194, 338, 3457, 13, 198, 198, 818, 2795, 2813, 11, 867, 10808, 547, 4838, 351, 645, 4003, 1813, 284, 4297, 393, 3085, 13, 1012, 16091, 5091, 287, 7492, 11, 9470, 11, 9486, 11, 11287, 11, 4744, 11, 7055, 11, 290, 8919, 13, 220, 11450, 326, 1227, 11, 29618, 1222, 20492, 4889, 2194, 338, 3457, 13, 5717, 329, 7006, 1367, 17235, 13, 3122, 25690, 4838, 6135, 10808, 290, 8104, 572, 362, 11, 4059, 3259, 13, 554, 262, 17235, 13106, 3122, 25690, 5610, 6798, 286, 720, 24369, 1510, 290, 25333, 286, 720, 39710, 1510, 13, 3122, 25690, 9349, 422, 17235, 379, 262, 886, 286, 3389, 2813, 739, 262, 1630, 286, 6378, 89, 1045, 20877, 14205, 11, 475, 3767, 284, 1998, 13156, 13, 554, 1737, 2321, 11, 340, 373, 3414, 326, 477, 8830, 968, 1971, 29618, 10808, 11, 2845, 329, 663, 440, 13087, 11, 968, 1971, 4067, 11, 561, 1969, 13, 198, 198, 2202, 2932, 642, 11, 13130, 11, 663, 2560, 1664, 29618, 1222, 20492, 4889, 2194, 338, 5717, 329, 17235, 981, 16428, 262, 16512, 286, 2808, 286, 511, 739, 12, 37440, 10808, 13, 383, 1708, 1227, 11, 1811, 286, 663, 7064, 287, 7840, 9589, 4838, 13, 198, 198, 2202, 2693, 1105, 11, 13130, 11, 340, 373, 3414, 326, 25400, 3525, 9256, 414, 8549, 286, 347, 3046, 585, 11, 7859, 481, 12831, 477, 5637, 29618, 10808, 11, 257, 2472, 286, 44341, 4991, 13, 198, 198, 6214, 635, 198, 7343, 286, 22154, 539, 7777, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 198, 49111, 1912, 287, 20522, 11, 11287, 198, 19452, 2899, 415, 28088, 198, 33, 33684, 19945, 20954, 198, 19452, 2899, 415, 14659, 287, 262, 1578, 1829, 198, 22968, 12, 19425, 14659, 286, 262, 1578, 1829, 198, 47, 1192, 539, 7777, 198, 19452, 2899, 1187, 4920, 287, 25177, 198, 1129, 3553, 33228, 287, 6835, 198, 49111, 326, 5717, 329, 7006, 1367, 17235, 287, 2813, 198, 49111, 326, 5717, 329, 7006, 1367, 17235, 287, 13130, 198, 11024, 4017, 5355, 290, 33683, 198, 23344, 4017, 5355, 290, 33683, 198, 7437, 2706, 4920, 287, 25177, 41829, 605, 3350, 1358, 318, 3350, 1358, 2884, 281, 6570, 305, 6381, 9607, 5010, 11, 1771, 284, 4646, 9195, 17305, 290, 3206, 3842, 11, 284, 2190, 4890, 11, 393, 4306, 13, 12101, 21998, 3350, 1358, 11, 810, 262, 35140, 5643, 389, 4615, 832, 281, 753, 1166, 287, 262, 1767, 11, 5931, 3350, 1358, 857, 407, 4781, 16613, 11, 4249, 318, 340, 257, 1296, 286, 30429, 1634, 13, 24872, 3350, 1358, 318, 4143, 3177, 48287, 618, 3513, 318, 31349, 11, 3584, 7748, 3048, 287, 1767, 16585, 460, 3360, 307, 1775, 11, 355, 287, 262, 1339, 286, 9970, 12109, 2994, 3649, 351, 4129, 286, 779, 286, 14848, 4537, 13, 198, 198, 818, 1737, 1584, 11, 383, 968, 1971, 3782, 2098, 326, 257, 1271, 286, 2678, 779, 5931, 3350, 1358, 319, 1714, 17120, 11, 1690, 287, 1441, 329, 5322, 13439, 13, 198, 198, 47738, 198, 198, 2202, 10835, 198, 2215, 973, 319, 10835, 11, 777, 5010, 460, 4646, 1714, 3708, 11, 552, 22220, 3206, 30162, 11, 290, 5339, 329, 3206, 36894, 13, 5155, 12, 26159, 1735, 3048, 389, 4071, 11, 475, 617, 2985, 905, 5732, 287, 1767, 3735, 290, 5322, 9970, 12109, 11, 543, 2620, 890, 12, 4354, 2526, 286, 21134, 4369, 290, 32674, 404, 273, 5958, 11, 8148, 13, 1119, 743, 635, 1998, 21486, 710, 785, 459, 544, 357, 31267, 286, 4025, 12, 14813, 12, 11265, 13418, 560, 42093, 287, 10835, 1776, 1336, 2478, 318, 1342, 2219, 4556, 5931, 3350, 1358, 318, 5929, 351, 7290, 2890, 267, 395, 8648, 9102, 13, 198, 198, 2202, 12366, 198, 198, 2215, 973, 319, 12366, 11, 262, 3048, 389, 2092, 11, 996, 612, 318, 1310, 2267, 546, 49966, 21683, 4048, 338, 1714, 3708, 393, 4048, 12, 11423, 281, 6570, 305, 6381, 9607, 82, 11, 1201, 749, 2267, 13692, 319, 262, 6697, 11, 475, 3098, 12, 392, 8648, 291, 17770, 842, 12117, 561, 2793, 18776, 287, 12366, 543, 460, 2928, 1714, 3708, 393, 3206, 2882, 13, 2312, 5010, 635, 825, 17660, 262, 9296, 42093, 290, 4292, 262, 2546, 286, 262, 45915, 13, 4418, 1775, 318, 257, 4802, 27382, 287, 9970, 2347, 290, 1221, 349, 6944, 286, 262, 11914, 11, 5322, 1767, 4190, 11, 290, 8280, 2347, 13, 198, 198, 51, 21731, 329, 1714, 17120, 198, 464, 717, 779, 286, 5931, 3350, 1358, 5091, 287, 16994, 11, 618, 5496, 71, 2645, 301, 346, 13466, 3225, 373, 973, 351, 262, 4007, 286, 21683, 1450, 338, 18776, 13, 198, 464, 32867, 2924, 6210, 5797, 1888, 525, 312, 349, 373, 3360, 973, 284, 29889, 3206, 28804, 287, 661, 508, 9066, 355, 788, 1807, 15679, 3206, 4069, 11, 290, 547, 20467, 1813, 416, 43369, 16954, 13, 887, 1888, 525, 312, 349, 857, 407, 2689, 18776, 290, 318, 4361, 407, 257, 3350, 1358, 5797, 13, 198, 41829, 605, 3350, 1358, 373, 1690, 1775, 355, 281, 4577, 5559, 284, 1204, 16510, 393, 262, 1918, 7389, 780, 340, 3142, 262, 2650, 286, 262, 9118, 13, 198, 198, 818, 14745, 11, 287, 281, 6306, 416, 350, 13, 402, 21080, 11, 4764, 10835, 351, 890, 12, 5646, 25985, 286, 11363, 1614, 3014, 9172, 547, 1813, 1117, 42059, 1676, 3212, 353, 505, 25174, 378, 329, 355, 890, 355, 1105, 1933, 13, 38223, 286, 883, 7481, 547, 6264, 355, 1719, 23476, 15997, 329, 1614, 3014, 3206, 9172, 11, 1342, 10792, 3206, 30162, 11, 290, 3744, 1630, 625, 3206, 28804, 13, 383, 2267, 6264, 257 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 523, 326, 957, 3973, 7560, 826, 22247, 389, 10033, 11, 788, 371, 468, 477, 957, 3973, 7560, 826, 22247, 1628, 425, 11, 290, 12891, 371, 318, 826, 10663, 6083, 9331, 13, 220, 9461, 611, 371, 318, 9672, 284, 307, 257, 10033, 826, 7306, 7386, 11, 788, 477, 826, 22247, 389, 1628, 425, 11, 290, 371, 318, 826, 49718, 13, 198, 317, 725, 315, 876, 49718, 19287, 7386, 318, 1444, 257, 35023, 988, 521, 7386, 13, 220, 317, 725, 315, 876, 10663, 12, 6083, 9331, 19287, 7386, 318, 1444, 257, 1736, 9116, 2232, 7386, 13, 198, 1052, 1593, 1672, 286, 257, 357, 9464, 8, 49718, 5858, 318, 262, 3108, 37139, 286, 257, 627, 1428, 13, 770, 318, 257, 12921, 286, 262, 6224, 286, 262, 3210, 6323, 357, 4758, 318, 286, 4129, 352, 8, 329, 13103, 625, 257, 3108, 37139, 13, 198, 464, 46963, 17593, 5858, 220, 318, 826, 49718, 290, 1364, 10663, 12, 6083, 9331, 475, 407, 1364, 49718, 13, 198, 1532, 311, 318, 257, 18042, 3169, 40062, 3218, 5858, 351, 281, 7306, 314, 326, 318, 407, 257, 1277, 2160, 22249, 11, 788, 262, 46963, 17593, 5858, 220, 318, 1364, 10663, 12, 6083, 9331, 475, 407, 826, 10663, 12, 6083, 9331, 13, 198, 198, 2964, 18200, 198, 1114, 257, 1364, 49718, 5858, 371, 11, 790, 850, 21412, 286, 257, 1479, 1364, 371, 12, 21412, 318, 318, 46374, 284, 257, 1277, 2160, 286, 1364, 22247, 286, 371, 290, 12891, 318, 1628, 425, 13, 198, 198, 19927, 628, 220, 198, 220, 198, 220, 198, 198, 39687, 4583, 20298, 414, 318, 262, 4387, 5737, 287, 8342, 7517, 13, 1629, 262, 2813, 21649, 11, 262, 16815, 3965, 329, 262, 1388, 18879, 547, 25, 7835, 357, 3901, 583, 1247, 1776, 44150, 357, 1129, 583, 1247, 1776, 4564, 286, 7517, 357, 1415, 583, 1247, 1776, 38029, 357, 18, 13, 15, 583, 1247, 1776, 3819, 4302, 393, 4302, 12, 5363, 49735, 357, 20, 13, 23, 583, 1247, 1776, 584, 4718, 328, 507, 290, 18880, 2522, 444, 357, 15, 13, 23, 583, 1247, 8, 290, 883, 18684, 645, 5737, 393, 5737, 407, 5081, 1467, 13, 24, 7225, 383, 7835, 4564, 468, 1775, 257, 1402, 3349, 287, 46372, 11, 981, 262, 584, 4302, 2628, 423, 1775, 257, 1402, 10070, 13, 198, 198, 1858, 389, 635, 1402, 16397, 11, 34629, 11, 3765, 11, 20838, 290, 5582, 5348, 13, 29713, 468, 257, 41953, 11, 257, 308, 2799, 86, 3301, 11, 257, 18575, 290, 734, 16397, 27081, 13, 1318, 318, 1194, 308, 2799, 86, 3301, 287, 360, 6996, 13, 198, 198, 48346, 198, 198, 464, 5878, 290, 2813, 20962, 5538, 329, 21741, 357, 1662, 21741, 393, 21741, 347, 2909, 3205, 554, 8, 389, 900, 503, 2174, 13, 198, 198, 464, 4158, 8349, 602, 287, 262, 1957, 4934, 12815, 357, 18855, 2020, 407, 23791, 1201, 2813, 1, 286, 8342, 7517, 547, 355, 5679, 25, 198, 198, 6892, 328, 507, 5445, 866, 416, 1295, 286, 4082, 287, 262, 2813, 21649, 13, 198, 198, 464, 4158, 8349, 602, 287, 262, 1180, 2479, 11760, 287, 262, 2813, 21649, 547, 355, 5679, 25, 198, 198, 20298, 414, 198, 198, 20298, 414, 318, 262, 1388, 5737, 287, 8342, 7517, 13, 383, 2813, 3482, 21649, 3751, 2319, 13, 23, 4, 7835, 11, 678, 13, 16, 4, 44150, 4564, 11, 351, 262, 4564, 286, 7517, 1719, 1511, 13, 22, 4, 290, 262, 38029, 4564, 642, 13, 15, 7225, 12688, 286, 584, 4302, 14422, 19869, 642, 13, 23, 7441, 1596, 4, 5081, 484, 423, 645, 5737, 393, 750, 407, 1181, 257, 5737, 11, 290, 1866, 286, 1729, 12, 20298, 18879, 547, 657, 13, 23, 7225, 198, 198, 464, 7835, 4564, 318, 262, 4387, 2060, 4928, 13, 383, 4564, 318, 20325, 656, 1440, 17812, 996, 777, 389, 407, 269, 19543, 1084, 516, 351, 262, 3660, 1964, 7297, 286, 7517, 13, 383, 5852, 286, 262, 36746, 286, 7057, 10471, 11, 262, 11460, 1590, 286, 7517, 11, 318, 520, 13, 9925, 338, 32536, 11, 7057, 10471, 13, 198, 198, 464, 44150, 4564, 287, 7517, 11, 7173, 532, 4360, 407, 15832, 532, 6692, 284, 262, 4564, 286, 8838, 287, 2846, 286, 24383, 290, 2106, 11, 318, 262, 1218, 12, 28209, 4928, 290, 4387, 25310, 47491, 13, 632, 318, 3940, 416, 262, 42844, 272, 4564, 286, 7517, 11, 543, 373, 262, 1181, 4928, 286, 7517, 1566, 340, 373, 595, 27718, 416, 262, 8685, 4564, 2191, 1248, 3388, 13, 554, 6244, 11, 262, 881, 4833, 38029, 4564, 287, 7517, 4488, 257, 28173, 329, 3744, 763, 12, 27184, 290, 2785, 8713, 14111, 351, 262, 4564, 286, 7517, 13, 383, 4564, 286, 7517, 318, 636, 286, 262, 42844, 272, 4440, 295, 13, 198, 198, 18712, 263, 25310, 49735, 884, 355, 262, 3232, 44150, 4564, 286, 50026, 11, 797, 12214, 44150, 4564, 286, 7517, 12077, 40507, 1547, 290, 262, 4946, 3719, 25941, 2152, 287, 867, 10016, 5348, 13, 383, 5396, 286, 21724, 46446, 287, 7517, 290, 262, 1081, 4428, 13508, 286, 1793, 7517, 389, 635, 20325, 319, 281, 477, 12, 49752, 4308, 11, 996, 287, 262, 1339, 286, 262, 1081, 4428, 13508, 286, 1793, 428, 373, 262, 1255, 286, 257, 2274, 35459, 5612, 13, 198, 198, 50249, 1653, 351, 3878, 5491, 198, 818, 262, 2813, 21649, 8342, 7517, 550, 13788, 517, 661, 12316, 326, 484, 547, 4302, 357, 6469, 13, 17, 4407, 621, 750, 4492, 357, 3270, 13, 19, 15920, 8838, 357, 4310, 13, 23, 4407, 393, 11769, 357, 3553, 13, 21, 18823, 383, 9823, 508, 5081, 326, 484, 550, 597, 5737, 373, 635, 2440, 287, 8342, 7517, 357, 5999, 4407, 621, 287, 4492, 357, 3104, 13, 16, 15920, 8838, 357, 3980, 13, 18, 4407, 393, 11769, 357, 1899, 13, 18, 18823, 554, 8342, 7517, 883, 508, 750, 407, 1181, 597, 5737, 287, 262, 2813, 21649, 30008, 284, 1511, 13, 24, 4, 286, 262, 3265, 11, 2793, 621, 287, 4492, 357, 3132, 13, 24, 15920, 8838, 357, 3559, 13, 22, 4407, 393, 11769, 357, 2670, 13, 22, 18823, 770, 7997, 281, 2620, 422, 262, 5878, 21649, 287, 883, 407, 12316, 257, 5737, 286, 19048, 4, 287, 8342, 7517, 11, 2793, 621, 262, 5732, 287, 4492, 357, 4051, 13, 20, 15920, 8838, 357, 2548, 13, 16, 4407, 393, 11769, 357, 3553, 13, 21, 18823, 198, 198 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 26057, 683, 329, 7394, 764, 5562, 857, 299, 470, 1283, 826, 764, 72, 1975, 683, 618, 339, 531, 262, 625, 12, 1040, 3874, 373, 257, 7457, 764, 72, 714, 1833, 703, 326, 3022, 764, 72, 892, 356, 561, 307, 2642, 284, 1394, 262, 8683, 764, 732, 760, 339, 19837, 546, 584, 1243, 287, 262, 2643, 764, 18608, 1335, 339, 19837, 546, 326, 5633, 258, 625, 12, 28409, 262, 2615, 290, 788, 339, 7332, 1740, 340, 764, 10197, 611, 262, 625, 12, 1040, 3874, 373, 7317, 257, 7457, 345, 705, 67, 892, 339, 705, 67, 423, 10667, 262, 2450, 379, 617, 966, 878, 12965, 2130, 284, 4245, 340, 764, 72, 466, 299, 470, 588, 262, 2126, 286, 262, 1664, 5291, 477, 326, 6992, 8683, 290, 991, 38242, 683, 764, 72, 892, 262, 517, 5035, 1517, 284, 466, 561, 307, 284, 3376, 262, 2450, 284, 262, 1774, 7095, 837, 1577, 683, 736, 262, 6992, 8683, 339, 3432, 290, 788, 26057, 683, 329, 262, 7394, 339, 3088, 284, 8939, 4873, 837, 1262, 262, 3376, 2033, 286, 262, 2615, 2033, 764, 5832, 705, 260, 1165, 28911, 3621, 329, 428, 1597, 837, 307, 85, 764, 7091, 13818, 837, 326, 705, 82, 262, 717, 640, 287, 616, 1204, 9599, 705, 82, 1683, 1297, 502, 1312, 373, 1165, 3621, 764, 25991, 340, 705, 82, 655, 262, 717, 640, 340, 705, 82, 587, 531, 284, 534, 1986, 764, 270, 705, 82, 257, 6768, 2714, 4459, 287, 262, 1664, 764, 259, 584, 2456, 616, 3451, 468, 29759, 780, 1312, 705, 76, 1165, 3621, 329, 262, 5210, 290, 47978, 286, 262, 1597, 1735, 764, 72, 892, 326, 705, 82, 546, 826, 764, 271, 326, 257, 45694, 15602, 326, 1312, 1011, 262, 1693, 287, 262, 7394, 4326, 5633, 8117, 705, 82, 12062, 329, 345, 284, 467, 475, 612, 764, 72, 705, 297, 892, 546, 340, 837, 475, 1312, 423, 284, 1560, 345, 837, 4556, 428, 318, 617, 1611, 286, 3789, 320, 21307, 837, 1312, 705, 76, 19514, 284, 2652, 810, 1312, 716, 611, 326, 705, 82, 281, 3038, 764, 72, 588, 262, 4996, 1312, 423, 783, 764, 72, 466, 299, 470, 765, 284, 307, 7819, 1804, 691, 7394, 10986, 764, 5832, 460, 2652, 810, 345, 389, 8097, 611, 345, 765, 284, 764, 5832, 705, 260, 7819, 837, 612, 837, 2158, 764, 5832, 705, 260, 1165, 5508, 329, 534, 1693, 764, 533, 299, 470, 345, 4385, 284, 6486, 290, 787, 10497, 6159, 286, 514, 13423, 345, 284, 1394, 5633, 88, 538, 837, 475, 345, 423, 257, 13542, 284, 2222, 503, 262, 39589, 287, 661, 764, 75, 5309, 502, 764, 44460, 764, 12501, 298, 764, 22850, 466, 299, 470, 345, 655, 751, 705, 7091, 468, 257, 922, 8806, 705, 764, 1616, 705, 82, 407, 651, 5281, 1497, 764, 5832, 705, 260, 3621, 290, 7709, 290, 12661, 290, 19701, 764, 14108, 8806, 318, 1194, 2300, 764, 5832, 466, 407, 1061, 262, 3173, 764, 5832, 711, 3049, 290, 9155, 351, 534, 4934, 2974, 764, 392, 345, 389, 4143, 257, 2356, 287, 262, 840, 284, 1730, 351, 618, 356, 1560, 345, 284, 466, 1223, 290, 345, 892, 345, 760, 1365, 764, 259, 584, 2456, 1312, 705, 76, 281, 1035, 549, 45480, 21551, 764, 568, 837, 1521, 466, 299, 470, 345, 655, 2046, 502, 5633, 7091, 24487, 764, 7091, 2993, 673, 550, 3750, 1165, 1290, 764, 72, 892, 356, 705, 303, 550, 1576, 24345, 329, 530, 1110, 764, 568, 837, 644, 466, 345, 765, 502, 284, 1560, 26842, 6327, 356, 705, 260, 1016, 284, 466, 5633, 33331, 683, 356, 705, 297, 21270, 3938, 287, 262, 12580, 286, 428, 7394, 764, 482, 323, 764, 5171, 1312, 1282, 1363, 783, 5633, 72, 1807, 345, 547, 1016, 319, 257, 20382, 290, 795, 813, 373, 3249, 345, 287, 10117, 13, 28907, 263, 14597, 764, 72, 1612, 706, 326, 764, 72, 892, 345, 460, 837, 379, 1551, 1566, 262, 13683, 2476, 345, 284, 19671, 764, 482, 323, 764, 27471, 768, 9439, 837, 1312, 705, 76, 319, 14600, 832, 262, 17122, 764, 72, 705, 297, 307, 736, 287, 262, 2607, 826, 706, 262, 649, 614, 764, 14150, 257, 922, 14600, 764, 5832, 750, 257, 922, 1693, 319, 428, 530, 837, 307, 85, 764, 72, 750, 299, 470, 466, 257, 28911, 1517, 475, 1650, 1088, 4953, 329, 1223, 284, 1645, 764, 1169, 277, 8482, 750, 477, 262, 4334, 16842, 319, 428, 530, 764, 69, 305, 6448, 616, 840, 837, 475, 340, 705, 82, 2081, 764, 301, 451, 5907, 6807, 351, 307, 85, 284, 607, 1097, 764, 7091, 1965, 837, 345, 765, 257, 10303, 736, 284, 534, 1097, 5633, 3919, 764, 72, 892, 1312, 705, 297, 2513, 764, 270, 705, 82, 407, 1290, 290, 1312, 705, 67, 588, 284, 651, 617, 4713, 1633, 764, 5832, 761, 502, 329, 1997, 2073, 826, 783, 5633, 72, 466, 299, 470, 892, 523, 764, 3506, 783, 340, 705, 82, 287, 262, 2832, 286, 285, 81, 13, 26842, 6327, 764, 72, 4719, 339, 705, 297, 466, 881, 351, 340, 1566, 706, 33826, 5356, 837, 523, 356, 705, 297, 423, 257, 2270, 764, 12518, 340, 2058, 640, 329, 606, 284, 1207, 577, 502, 837, 1312, 705, 297, 761, 345, 284, 307, 612, 764, 1350, 3243, 326, 837, 1312, 892, 345, 705, 260, 1760, 764, 16341, 837, 1312, 765, 345, 284, 804, 379, 262, 781, 273, 3755, 24895, 27113, 284, 25395, 286, 4788, 287, 2663, 286, 7394, 764, 72, 765, 284, 787, 1654, 374, 1046, 318, 319, 262, 826, 2610, 351, 465, 1410, 764, 72, 892, 339, 318, 837, 475, 1312, 705, 297, 2198, 764, 270, 857, 299, 470, 1650, 880, 351, 502, 764, 38947, 1058, 288, 17890, 15828, 19837, 379, 1811, 2173, 287, 262, 2643, 326, 356, 760, 286, 764, 5832, 815, 2198, 503, 790, 966, 764, 25991, 339, 19837, 546, 517, 3404, 764, 25991, 339, 19837, 546, 262, 625, 12, 1040, 3874, 764, 72, 705, 67, 1842, 284, 651, 1667, 544, 12, 417, 8107, 607, 77, 392, 8471, 739, 17865, 764, 3919, 4719, 2130, 481, 379, 617, 966, 837, 475, 611, 1312, 547, 345, 837, 1312, 561, 299, 470, 4574, 326, 4936, 1165, 1327, 764, 5832, 466, 299, 470, 765, 284, 14716, 1210, 510, 6617, 326, 339, 625, 12, 1040, 3874, 1107, 373, 1107 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 837, 537, 5912, 27266, 319, 262, 8163, 355, 339, 3804, 764, 27078, 262, 18828, 550, 35137, 832, 262, 2010, 16965, 837, 27266, 13176, 262, 2793, 1057, 70, 837, 16143, 736, 379, 262, 4104, 286, 465, 3223, 5428, 764, 27594, 6083, 837, 6936, 284, 262, 9941, 837, 3492, 284, 466, 262, 23829, 286, 511, 16599, 764, 2144, 74, 2936, 257, 2589, 560, 2984, 13992, 379, 29170, 511, 23510, 1756, 287, 428, 2754, 764, 21834, 286, 606, 561, 4656, 764, 4360, 611, 300, 9160, 373, 826, 837, 262, 2187, 995, 373, 8556, 764, 258, 550, 645, 3572, 475, 284, 779, 262, 4133, 379, 1021, 764, 9930, 550, 284, 3151, 374, 88, 1082, 705, 82, 8848, 764, 1136, 2341, 272, 503, 286, 994, 12, 392, 11481, 9992, 300, 9160, 764, 2144, 74, 6520, 284, 1975, 465, 5212, 373, 407, 991, 6776, 764, 2144, 74, 5954, 2241, 510, 262, 18002, 764, 258, 19952, 832, 262, 44637, 256, 9248, 286, 37353, 764, 10197, 287, 262, 4151, 286, 262, 6388, 837, 262, 308, 32620, 13520, 7194, 284, 479, 578, 683, 422, 465, 583, 354, 764, 258, 307, 2317, 2241, 503, 4291, 257, 7135, 29092, 286, 458, 15230, 837, 49647, 20156, 262, 2010, 764, 270, 373, 257, 14897, 10361, 7696, 764, 1169, 11506, 4438, 257, 1724, 284, 1067, 747, 19692, 262, 2010, 837, 284, 5529, 340, 837, 284, 14976, 663, 37353, 355, 2622, 764, 282, 1493, 262, 26401, 286, 465, 5428, 9153, 1973, 262, 7696, 837, 319, 663, 19921, 837, 40137, 284, 262, 7696, 705, 82, 1017, 1381, 764, 4480, 6290, 18404, 866, 287, 336, 14146, 15747, 837, 27266, 629, 1025, 276, 706, 606, 764, 13966, 292, 1538, 13520, 5636, 388, 1150, 832, 262, 2010, 837, 14284, 290, 10708, 340, 739, 683, 764, 2339, 10311, 435, 46782, 705, 82, 7348, 20710, 764, 2144, 74, 1067, 22739, 1088, 764, 2502, 2256, 262, 6279, 3002, 550, 7888, 2817, 1576, 284, 7766, 257, 1178, 5788, 837, 475, 477, 1088, 3223, 15114, 28488, 276, 287, 257, 37639, 348, 1901, 764, 1169, 4151, 286, 262, 6388, 373, 4833, 621, 27266, 550, 10719, 764, 1462, 477, 5389, 837, 14357, 30050, 290, 18355, 374, 11137, 764, 2144, 74, 31662, 38232, 764, 258, 290, 465, 5428, 550, 284, 307, 572, 262, 2010, 618, 262, 6388, 705, 82, 4151, 17676, 1497, 422, 262, 7022, 764, 258, 12433, 2961, 14357, 8956, 837, 262, 49164, 2367, 286, 8744, 34759, 1973, 262, 6147, 18328, 764, 270, 561, 307, 1918, 284, 307, 510, 994, 788, 764, 38246, 306, 837, 484, 753, 704, 3812, 511, 3061, 764, 292, 339, 3940, 837, 27266, 18484, 2174, 837, 1022, 262, 1017, 1381, 764, 265, 1551, 837, 2341, 272, 373, 503, 286, 4419, 705, 82, 835, 764, 19, 25, 2999, 257, 13, 76, 764, 372, 1986, 10536, 839, 351, 12530, 284, 7808, 607, 19634, 837, 2341, 272, 3332, 319, 257, 46483, 837, 11694, 287, 262, 20712, 837, 407, 1290, 422, 262, 19470, 2049, 764, 7091, 550, 3377, 262, 1613, 1711, 30784, 3364, 736, 866, 284, 262, 10481, 837, 284, 25507, 27266, 612, 764, 4360, 673, 373, 407, 3436, 764, 64, 8667, 15663, 3653, 837, 607, 15100, 27675, 837, 6204, 4860, 287, 262, 20712, 837, 11694, 287, 262, 8222, 764, 8807, 257, 2415, 837, 3025, 1438, 373, 256, 1134, 282, 837, 4030, 607, 7103, 1664, 837, 638, 2120, 13970, 262, 3881, 837, 607, 22645, 12070, 284, 17492, 764, 7091, 550, 407, 3888, 1201, 484, 550, 5025, 764, 82, 385, 272, 550, 7482, 284, 8209, 607, 837, 475, 262, 2415, 691, 427, 6396, 764, 568, 2341, 272, 13488, 837, 21639, 319, 607, 3881, 764, 7091, 12408, 257, 24117, 286, 16577, 22333, 5116, 837, 38425, 351, 27400, 837, 19679, 837, 290, 23895, 7815, 36116, 764, 372, 1182, 373, 37492, 416, 257, 2498, 1616, 286, 12183, 11945, 837, 8165, 284, 607, 22645, 416, 21405, 13608, 764, 439, 262, 11945, 264, 21542, 23537, 837, 588, 617, 8352, 46241, 15061, 764, 7091, 373, 1813, 257, 23895, 3085, 837, 20633, 416, 281, 848, 3021, 1692, 14511, 764, 439, 15830, 34273, 329, 262, 16365, 16599, 286, 4192, 265, 764, 392, 3805, 262, 308, 15710, 1836, 45618, 341, 837, 262, 24117, 373, 5814, 290, 607, 3085, 8302, 4465, 287, 14281, 866, 422, 262, 1029, 4447, 290, 736, 284, 262, 10481, 764, 372, 27675, 550, 635, 36932, 257, 8584, 11772, 286, 326, 1740, 18057, 5667, 16965, 837, 5291, 511, 37769, 5894, 764, 82, 385, 272, 18484, 510, 3812, 262, 5909, 2010, 889, 764, 7091, 550, 1900, 673, 373, 1165, 4939, 284, 2230, 284, 3272, 351, 262, 1854, 764, 568, 673, 550, 407, 7189, 618, 27266, 6149, 607, 866, 284, 262, 10481, 837, 284, 1394, 7104, 837, 284, 25507, 262, 8055, 286, 262, 39904, 4641, 2402, 262, 20382, 4074, 764, 4360, 673, 2993, 340, 561, 307, 257, 890, 16729, 764, 18820, 890, 764, 397, 5063, 276, 837, 673, 2540, 284, 17565, 262, 1336, 2928, 286, 477, 326, 550, 3022, 706, 23137, 15500, 262, 20382, 4074, 764, 2016, 6776, 5223, 837, 883, 11706, 284, 607, 2612, 550, 407, 11803, 764, 16694, 1130, 2644, 372, 5229, 21050, 736, 284, 607, 1058, 465, 45571, 16770, 837, 465, 7976, 15816, 6487, 837, 465, 3223, 2951, 837, 262, 1928, 2584, 21212, 286, 465, 4168, 837, 262, 6938, 286, 465, 11914, 2644, 319, 290, 319, 764, 258, 5901, 607, 510, 764, 4919, 714, 477, 326, 307, 3750, 5633, 82, 385, 272, 2993, 673, 373, 991, 1290, 422, 3938, 24772, 278, 607, 2994, 764, 4360, 673, 2993, 1576, 764, 372, 1767, 2936, 10170, 44379, 837, 477, 262, 835, 866, 284, 607, 4755, 764, 372, 13589, 4838, 510, 837, 290, 673, 2540, 284, 10023, 903, 764, 4743, 7855, 10953, 1509, 11978, 290, 4966, 625, 607, 12530, 12, 13424, 2945, 1986, 764, 16694, 1130, 2644, 673, 36872, 287, 1295, 329, 257, 890, 7539, 837, 6974, 9616, 607, 18522, 19127, 832, 607, 764, 270, 373, 5340, 284, 2245, 340, 764, 1169, 13853, 286, 24140, 373, 257, 40738, 2700, 837, 355, 287, 50141, 540, 355, 262, 2834, 286, 262, 8824, 764, 4360, 706, 257, 7539, 286, 640, 837, 772, 257, 20013, 1276, 304, 11848, 764, 259, 663, 257, 10813, 7765, 837, 1194, 43750, 18098, 6150, 837, 18989, 510, 422, 772, 9211, 7354, 874, 837, 1223, 673, 550, 757, 13941, 25937, 1566 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 290, 5932, 13, 198, 198, 3163, 4246, 3647, 220, 198, 198, 818, 262, 299, 1015, 262, 4387, 34093, 1073, 274, 357, 1507, 6052, 8, 389, 262, 670, 286, 262, 34537, 406, 8101, 12022, 1024, 6669, 395, 380, 11, 287, 262, 1218, 18890, 286, 262, 826, 28960, 286, 262, 12036, 383, 3981, 2417, 3438, 286, 9281, 22578, 286, 27872, 416, 5833, 695, 2879, 5833, 11109, 11, 287, 262, 906, 1525, 11471, 290, 287, 262, 2471, 325, 389, 2499, 416, 13545, 1073, 18133, 290, 8118, 1904, 27768, 36483, 26380, 26, 287, 262, 43398, 284, 262, 1364, 286, 262, 299, 1015, 612, 318, 257, 1105, 400, 28, 14792, 48905, 422, 262, 1966, 28830, 4928, 286, 520, 13, 40513, 127, 110, 13, 198, 198, 818, 262, 1364, 28960, 810, 262, 13510, 14747, 1523, 1448, 10200, 262, 2129, 3507, 422, 262, 1248, 400, 4289, 11, 257, 9696, 721, 455, 416, 360, 3674, 3713, 23238, 589, 8466, 11, 257, 22325, 286, 520, 13, 7212, 357, 1433, 4051, 8, 416, 440, 3247, 952, 1024, 23502, 11, 257, 42345, 1619, 17998, 500, 290, 257, 13048, 13914, 290, 1757, 262, 21724, 416, 406, 8101, 12022, 41489, 283, 505, 13, 198, 198, 39, 10180, 592, 290, 3799, 1817, 220, 198, 464, 37968, 286, 262, 7439, 1951, 8833, 790, 1679, 812, 13, 198, 198, 6214, 635, 220, 628, 311, 395, 380, 42607, 68, 198, 6031, 31292, 286, 609, 544, 25641, 198, 32520, 3970, 198, 198, 19927, 220, 198, 21877, 544, 350, 8101, 5362, 31525, 2505, 72, 26, 25773, 46525, 31525, 2505, 72, 11, 609, 444, 68, 287, 406, 328, 34484, 11, 5215, 10071, 11, 28733, 79, 5312, 20970, 11, 6303, 13, 198, 198, 41506, 6117, 220, 198, 198, 28529, 2443, 220, 198, 198, 15522, 346, 3970, 14422, 287, 406, 328, 34484, 198, 1558, 400, 12, 14792, 7993, 7835, 4928, 6832, 287, 8031, 198, 49, 8107, 16419, 10959, 287, 406, 328, 34484, 198, 39825, 37792, 44645, 287, 406, 328, 34484, 1, 3118, 39239, 774, 40921, 1, 318, 262, 1218, 4471, 286, 262, 717, 1622, 286, 262, 1605, 5581, 2168, 27797, 13, 13403, 319, 257, 1103, 3331, 18609, 1339, 11, 262, 4471, 3033, 257, 5618, 9840, 286, 21505, 357, 39379, 8, 10688, 17028, 338, 17724, 852, 17503, 706, 5349, 6554, 1064, 2405, 287, 281, 10059, 34995, 351, 9885, 3331, 46988, 13, 7171, 8786, 37958, 679, 32894, 290, 29737, 9596, 44456, 2227, 284, 7301, 262, 7016, 3048, 286, 262, 1339, 319, 1583, 13, 11526, 412, 381, 274, 357, 11006, 509, 6582, 3937, 22877, 737, 1114, 262, 19473, 973, 287, 262, 1339, 11, 484, 3017, 1811, 18069, 290, 11887, 10838, 11, 884, 355, 262, 679, 13254, 3900, 13479, 7989, 11, 350, 9051, 28498, 1917, 11, 290, 33466, 732, 5723, 983, 13, 198, 198, 464, 4471, 373, 7924, 416, 7802, 402, 1018, 5235, 9096, 290, 18976, 287, 5401, 5652, 11, 3442, 13, 220, 14444, 284, 262, 2099, 286, 8188, 287, 262, 4471, 11, 17691, 1718, 625, 5193, 1528, 13, 220, 5856, 3227, 11, 11133, 9167, 326, 262, 11408, 8216, 866, 4622, 262, 1241, 286, 3685, 287, 262, 4756, 2223, 8379, 290, 326, 530, 3224, 8689, 5002, 7411, 5349, 15906, 3271, 34927, 307, 4615, 329, 262, 11060, 286, 16287, 13, 198, 198, 3260, 852, 3888, 422, 5544, 284, 1218, 11, 366, 3118, 39239, 774, 40921, 1, 717, 18530, 287, 262, 1578, 1829, 319, 3269, 2579, 11, 5075, 13, 220, 33385, 2921, 262, 4471, 7668, 8088, 13, 220, 1881, 48251, 43252, 262, 2962, 319, 262, 7016, 6317, 981, 9188, 8288, 262, 4471, 13, 198, 198, 43328, 10638, 198, 14291, 257, 1085, 11, 5349, 6093, 28295, 2094, 412, 381, 274, 357, 14350, 34693, 828, 14286, 6233, 357, 39646, 22267, 22361, 828, 290, 3271, 34927, 357, 2348, 25236, 45415, 8, 10171, 503, 734, 6341, 543, 389, 5457, 262, 30225, 3961, 17528, 6, 1306, 2496, 13, 383, 6554, 6, 1085, 2058, 422, 511, 10688, 17028, 290, 2094, 338, 7099, 3956, 11, 1583, 13, 11526, 412, 381, 274, 357, 11006, 509, 6582, 3937, 22877, 828, 508, 973, 12867, 4583, 290, 13905, 3781, 284, 4331, 262, 6670, 13, 383, 30225, 3961, 17528, 11, 257, 5166, 286, 42582, 290, 23507, 3331, 46988, 11, 3857, 262, 3331, 543, 14286, 290, 3271, 423, 739, 8452, 13, 14286, 290, 3271, 338, 1074, 2230, 284, 3251, 262, 5166, 11, 475, 14286, 290, 3271, 11, 290, 1568, 2094, 11, 1064, 2405, 287, 262, 3504, 286, 257, 34995, 351, 262, 3331, 46988, 290, 257, 3155, 286, 262, 46988, 6, 6424, 1063, 13, 2293, 262, 2046, 15481, 10564, 866, 11, 2094, 290, 14286, 1061, 262, 5858, 27940, 656, 257, 6716, 2615, 13, 383, 3331, 29979, 625, 30132, 2094, 11, 20611, 2094, 351, 2094, 338, 898, 2485, 11, 290, 5104, 274, 262, 3715, 351, 262, 2485, 13, 11526, 14443, 379, 262, 3715, 290, 7228, 2094, 852, 5716, 329, 257, 4159, 29444, 11699, 284, 465, 3211, 13, 198, 198, 7282, 379, 262, 5349, 2607, 11, 262, 1074, 15947, 326, 11526, 338, 2746, 318, 262, 691, 13971, 1085, 13, 11526, 11, 32816, 416, 262, 6504, 286, 262, 4065, 3715, 11, 8399, 82, 2241, 422, 262, 3645, 1201, 530, 286, 465, 2746, 338, 14895, 373, 326, 262, 46988, 547, 42582, 13, 220, 2094, 12800, 11526, 1363, 284, 651, 617, 1334, 13, 5455, 11, 11526, 6140, 1762, 319, 350, 3691, 13, 28498, 287, 262, 1641, 15591, 11, 257, 1917, 326, 339, 550, 3111, 319, 1141, 262, 1115, 1933, 878, 465, 2802, 3724, 286, 4890, 13, 2094, 5860, 284, 262, 2156, 290, 22974, 546, 11526, 338, 4028, 422, 511, 2988, 11, 12246, 412, 381, 274, 357, 41, 4185, 367, 47108, 737, 1649, 2094, 42650, 11526, 11, 11526, 27505, 465, 3252, 286, 2094, 852, 27546, 2823, 1141, 1194, 19207, 351, 262, 30225, 3961, 17528, 13, 198, 198, 2953, 262, 2607, 11, 262, 1074, 555, 1073, 690, 2370, 543, 19623, 2094, 338, 15123, 326, 530, 286, 262, 3331, 46988, 373, 2422, 12, 35311, 13, 1119, 635, 2193, 326, 262, 46988, 550, 2923, 257, 3644, 24292, 290, 550, 9909, 262, 24292, 338, 5369, 13, 1081, 262, 6554, 2112, 262, 1339, 11, 484, 2193, 286, 1194, 3331, 18609, 5364, 416, 262, 30225, 3961, 17528, 13, 770, 640, 11, 262, 46988, 27546, 2686, 257, 3331, 1893, 508, 7482, 284, 7239, 606, 11, 290, 2008, 8452, 9640 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 8124, 1526, 979, 373, 3706, 5953, 13782, 25346, 396, 13, 198, 198, 19927, 198, 198, 27470, 2267, 2706, 286, 262, 1578, 1829, 198, 36393, 6343, 3498, 198, 8199, 1434, 23947, 1435, 198, 8199, 1434, 16801, 2267, 10399, 287, 262, 1578, 1829, 198, 44893, 2706, 4920, 287, 4793, 37776, 6250, 305, 357, 6286, 1367, 2901, 12113, 8, 318, 257, 11905, 4346, 3985, 11, 508, 373, 2904, 8796, 1182, 3985, 379, 24272, 41239, 14225, 13, 679, 373, 4271, 281, 8796, 3985, 379, 15338, 12761, 11, 35773, 290, 22410, 1578, 11, 290, 373, 11589, 262, 1182, 3985, 379, 11905, 47435, 3430, 20592, 13, 198, 198, 36530, 3451, 198, 39581, 305, 2826, 6205, 4346, 329, 1114, 16370, 29007, 290, 3719, 24658, 2254, 13, 198, 198, 7222, 8103, 3451, 198, 198, 56, 1536, 3985, 198, 3260, 1762, 355, 257, 1957, 6205, 3985, 287, 37921, 1453, 11, 6250, 305, 2627, 262, 1182, 286, 37921, 1453, 1578, 338, 6205, 21531, 379, 262, 2479, 286, 2534, 13, 5856, 465, 640, 351, 37921, 1453, 1578, 11, 339, 635, 3111, 329, 262, 11905, 9957, 5396, 338, 1957, 6205, 11383, 13, 6047, 402, 30406, 468, 9181, 6250, 305, 355, 530, 286, 262, 4094, 16717, 319, 465, 3451, 13, 198, 198, 48902, 4706, 198, 818, 2321, 11, 339, 2627, 262, 8796, 4706, 286, 21813, 3430, 15338, 12761, 13, 554, 1946, 11, 339, 3940, 399, 36909, 11, 465, 4706, 379, 15338, 12761, 11, 284, 7897, 3430, 35773, 11, 810, 339, 635, 2627, 8796, 4706, 13, 383, 734, 550, 717, 1138, 379, 281, 311, 7708, 13101, 1781, 287, 8838, 287, 3717, 13, 679, 16542, 465, 35773, 1281, 319, 1367, 2795, 1853, 13, 198, 198, 32, 46327, 1568, 11, 339, 4987, 284, 4654, 9952, 4041, 1735, 22410, 1578, 355, 8796, 284, 6542, 23780, 5757, 11, 262, 2904, 9899, 4706, 13, 1649, 23780, 5757, 373, 32564, 416, 22410, 1578, 287, 2805, 1584, 290, 6928, 416, 20824, 64, 3932, 8836, 660, 89, 11, 6250, 305, 373, 1807, 4047, 1576, 286, 284, 307, 17383, 355, 8796, 4706, 13, 198, 198, 28541, 286, 7215, 75, 849, 666, 198, 39581, 305, 373, 9899, 1182, 3985, 286, 11905, 47435, 3430, 8894, 286, 7215, 75, 849, 666, 319, 642, 3426, 1584, 13, 383, 12557, 4073, 617, 4384, 1626, 11905, 4346, 13, 19902, 76, 1501, 735, 2137, 27748, 29897, 11434, 1771, 884, 257, 1862, 4706, 11, 351, 3614, 2712, 1998, 11, 714, 3141, 262, 2461, 286, 262, 8244, 13, 20592, 6157, 13455, 287, 262, 1218, 2063, 286, 262, 1584, 1906, 1558, 1622, 11, 5442, 642, 286, 2534, 4652, 1830, 706, 6250, 305, 373, 9899, 13, 1119, 3214, 284, 8150, 1295, 287, 262, 4652, 290, 547, 13642, 503, 286, 262, 1584, 1906, 1558, 11905, 5454, 416, 511, 23475, 47317, 14987, 367, 1856, 44516, 13, 2293, 20592, 4054, 284, 12780, 422, 262, 2177, 1906, 1507, 11905, 4041, 5454, 1448, 3800, 11, 6250, 305, 373, 32564, 13, 27986, 4706, 26134, 19947, 531, 326, 612, 4120, 284, 307, 257, 366, 10414, 1484, 1, 3164, 379, 20592, 11, 351, 257, 46318, 1022, 262, 3918, 286, 711, 6250, 305, 2227, 284, 3494, 290, 262, 2099, 286, 1938, 4488, 416, 262, 3430, 13, 2293, 6250, 305, 1364, 11, 20592, 19303, 4706, 5966, 43692, 290, 2137, 11768, 10500, 1122, 4752, 326, 262, 3518, 3047, 739, 6250, 305, 550, 19989, 12245, 13, 198, 198, 54, 9010, 198, 3260, 2048, 257, 614, 503, 286, 4346, 11, 6250, 305, 373, 9899, 717, 12, 15097, 3985, 379, 26328, 2763, 10972, 22420, 19288, 287, 2795, 2864, 11, 17795, 510, 757, 351, 399, 36909, 11, 508, 6250, 305, 3111, 351, 287, 19101, 290, 8602, 13, 198, 198, 51, 21889, 41239, 14225, 198, 2202, 513, 2901, 33448, 11, 6250, 305, 3940, 1966, 12, 54, 9010, 4706, 399, 36909, 284, 24272, 41239, 14225, 11, 706, 852, 9899, 8796, 1182, 3985, 13, 198, 198, 13511, 498, 7869, 198, 198, 19927, 198, 198, 28054, 27244, 198, 36376, 661, 198, 37316, 364, 422, 37921, 1453, 198, 19040, 680, 4346, 364, 198, 1890, 16370, 29007, 376, 13, 34, 13, 1938, 198, 12679, 24658, 2254, 376, 13, 34, 13, 1938, 198, 19040, 680, 4346, 11663, 198, 28541, 286, 7215, 75, 849, 666, 376, 13, 34, 13, 11663, 198, 19040, 680, 18612, 9957, 4041, 11663, 198, 35, 917, 1453, 1578, 376, 13, 34, 13, 1729, 12, 17916, 3085, 198, 3791, 18676, 1578, 376, 13, 34, 13, 1729, 12, 17916, 3085, 198, 19040, 680, 1033, 26646, 689, 287, 19101, 198, 19040, 680, 1033, 26646, 689, 287, 8602, 198, 54, 14375, 2763, 10972, 22420, 19288, 376, 13, 34, 13, 1729, 12, 17916, 3085, 198, 51, 21889, 41239, 14225, 376, 13, 34, 13, 1729, 12, 17916, 3085, 198, 8021, 41003, 4346, 364, 407, 37661, 416, 2292, 198, 8021, 41003, 4346, 11070, 10374, 13645, 743, 3522, 284, 25, 198, 198, 2601, 2634, 434, 10593, 313, 357, 1129, 1415, 1906, 45192, 828, 18727, 284, 48723, 1992, 40419, 10343, 2100, 959, 198, 29458, 12, 817, 2634, 25102, 12, 35, 20954, 343, 2634, 10593, 313, 357, 1507, 1731, 12, 1507, 3720, 828, 4141, 1515, 1512, 3478, 273, 198, 13448, 10593, 313, 11, 399, 4669, 273, 7490, 711, 29995, 198, 38208, 29616, 10593, 313, 11, 1605, 13270, 286, 3893, 286, 262, 2254, 286, 968, 1971, 198, 16305, 1820, 10593, 313, 357, 6286, 24977, 828, 3800, 1438, 286, 35437, 43052, 67, 280, 446, 10593, 313, 11, 18020, 8204, 263, 11, 14015, 290, 5581, 39597, 198, 14167, 10593, 313, 357, 1129, 5237, 1906, 10531, 828, 48723, 12, 7437, 5243, 8806, 220, 198, 53, 452, 666, 10593, 313, 357, 6286, 23234, 828, 5398, 4701, 11, 11276, 11, 290, 14971, 198, 39702, 1069, 313, 3970, 357, 64, 24554, 9379, 22430, 2318, 13645, 10876, 8, 198, 198, 6214, 635, 198, 2409, 8664, 357, 6381, 4131, 328, 2288, 8, 10161, 1820, 4768, 6400, 446, 635, 1900, 355, 29504, 4768, 6400, 446, 357, 1129, 1415, 1906, 21113, 8, 373, 257, 37704, 666, 1281, 12, 5767, 6802, 1900, 329, 12036, 11, 3601, 8601, 290, 4636, 874, 13, 198, 198, 20457, 1204, 220, 198, 10161, 1820, 4768, 6400, 446, 373, 4642, 319, 3035, 1315, 11, 26833, 11, 1474, 2574, 1979, 305, 11, 3442, 11, 284, 3397, 18966, 290, 15819, 6400, 446, 13, 2332, 2988, 9393, 281, 14240, 22849, 2055, 287, 262, 11773, 6916, 290, 373, 281 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 12406, 326, 465, 4490, 8957, 7817, 683, 257, 1256, 546, 10087, 618, 339, 5615, 319, 465, 4490, 8957, 447, 247, 82, 5318, 13, 1770, 13, 12406, 13267, 284, 2251, 257, 6512, 379, 19172, 379, 262, 1524, 284, 1037, 24532, 1487, 465, 4069, 13, 383, 379, 19172, 33174, 477, 1180, 6982, 286, 10087, 11, 290, 24532, 318, 30103, 416, 477, 286, 606, 13, 24532, 1718, 262, 6512, 1492, 351, 683, 8347, 290, 2540, 284, 307, 36597, 284, 262, 584, 2444, 13, 220, 198, 198, 32, 3155, 286, 1528, 1568, 11, 257, 4701, 3136, 284, 1770, 13, 12406, 326, 24532, 550, 925, 8425, 3651, 284, 734, 2444, 287, 262, 9965, 1627, 13, 1770, 13, 12406, 3848, 24532, 656, 465, 2607, 11, 810, 339, 22974, 326, 24532, 447, 247, 82, 9955, 373, 8805, 326, 24532, 550, 587, 4581, 523, 881, 640, 351, 1770, 13, 12406, 780, 339, 447, 247, 82, 5510, 1605, 13, 220, 1770, 13, 12406, 2523, 24532, 326, 339, 16609, 329, 477, 286, 262, 10087, 262, 976, 11, 7692, 286, 3124, 11, 290, 24532, 10497, 284, 1239, 779, 9811, 3651, 757, 13, 220, 198, 197, 198, 32, 3155, 286, 1528, 1568, 11, 262, 17374, 446, 9653, 287, 262, 379, 19172, 2221, 284, 25834, 13, 383, 39694, 761, 284, 2107, 1474, 262, 16723, 11, 523, 1770, 13, 12406, 290, 24532, 1282, 510, 351, 257, 1410, 290, 923, 284, 26166, 606, 284, 262, 7850, 13, 2293, 262, 39694, 220, 787, 340, 284, 262, 1660, 11512, 11, 24532, 23180, 465, 1438, 13, 2399, 4490, 8957, 550, 1282, 284, 766, 262, 39694, 787, 340, 284, 3747, 13, 24532, 7893, 465, 4490, 8957, 611, 339, 460, 2107, 351, 683, 757, 11, 284, 543, 4490, 8957, 20616, 11, 564, 250, 1135, 447, 247, 297, 766, 11, 3367, 13, 220, 775, 447, 247, 297, 1654, 766, 13, 447, 251, 198, 198, 48393, 197, 198, 198, 5246, 13, 12406, 784, 1770, 13, 12406, 318, 281, 5510, 1605, 10033, 286, 262, 19823, 1524, 13, 1439, 286, 262, 2444, 1107, 21099, 683, 11, 2845, 329, 24532, 13, 679, 17324, 24532, 546, 1180, 6982, 286, 10087, 290, 17324, 683, 407, 284, 3246, 1096, 262, 584, 2444, 290, 407, 284, 779, 8425, 3651, 13, 198, 198, 36, 1018, 1734, 564, 250, 5308, 272, 13005, 447, 251, 412, 1706, 4803, 784, 24532, 3246, 4340, 465, 14495, 319, 262, 24817, 13, 679, 3011, 287, 11418, 290, 3848, 262, 584, 2444, 1612, 393, 8425, 3891, 13, 679, 4329, 30103, 416, 10087, 706, 339, 11864, 351, 465, 4490, 8957, 13, 198, 198, 8642, 13299, 532, 24532, 10408, 465, 4490, 8957, 290, 3382, 284, 3187, 683, 757, 13, 220, 220, 1902, 13299, 373, 262, 530, 508, 1392, 24532, 4609, 287, 10087, 13, 198, 198, 36, 1018, 1734, 447, 247, 82, 17415, 784, 24532, 447, 247, 82, 9955, 4329, 7954, 618, 24532, 6140, 4581, 257, 1256, 286, 640, 351, 1770, 13, 12406, 780, 339, 318, 407, 286, 262, 976, 3234, 13, 679, 318, 281, 20619, 415, 290, 3544, 8425, 44981, 329, 2687, 508, 318, 407, 286, 262, 976, 3234, 339, 318, 13, 198, 198, 14832, 82, 198, 198, 4821, 284, 262, 9991, 286, 262, 1492, 11, 4543, 296, 417, 13661, 11, 564, 250, 3152, 30223, 2165, 8679, 338, 16028, 27128, 290, 10296, 2420, 11, 1770, 13, 12406, 338, 6378, 24538, 262, 45504, 1524, 10033, 508, 18105, 262, 3160, 286, 465, 2444, 290, 4988, 795, 30132, 606, 13, 447, 251, 198, 198, 4821, 284, 4897, 4868, 11, 564, 250, 1212, 1621, 318, 20276, 2165, 8679, 438, 64, 34641, 6232, 4634, 11, 257, 3350, 286, 41632, 3435, 357, 11246, 4025, 621, 1204, 828, 290, 257, 19201, 7464, 11462, 284, 2222, 10953, 284, 772, 1327, 12, 2127, 3902, 19768, 873, 13, 2165, 8679, 338, 9877, 1660, 8043, 27128, 1011, 319, 6076, 2435, 289, 947, 994, 26, 484, 821, 2592, 4156, 287, 1770, 13, 12406, 338, 6016, 11398, 20858, 290, 8470, 13, 1052, 6275, 3572, 329, 1621, 24425, 11, 428, 815, 6152, 617, 3499, 9984, 546, 42677, 290, 511, 28140, 13, 447, 251, 198, 198, 4821, 284, 383, 13549, 4897, 11175, 11, 564, 250, 7003, 262, 27128, 389, 11932, 11, 262, 1621, 286, 262, 27410, 338, 13389, 318, 1111, 25417, 20473, 699, 290, 21254, 85, 1939, 278, 13, 24532, 318, 1165, 2116, 12, 9685, 329, 465, 2479, 11, 290, 1770, 13, 12406, 318, 1165, 38870, 284, 307, 3499, 13, 447, 251, 198, 198, 41502, 15297, 198, 198, 12130, 26654, 2165, 8679, 3544, 867, 286, 262, 4266, 673, 17781, 284, 355, 12141, 329, 262, 4266, 287, 607, 3923, 13, 383, 19823, 1524, 287, 1770, 13, 12406, 447, 247, 82, 6378, 318, 1912, 1088, 14424, 25335, 3961, 287, 7875, 15503, 11, 7055, 13, 770, 1524, 318, 1363, 284, 17374, 446, 22045, 44382, 11, 290, 790, 614, 262, 10033, 5983, 262, 39694, 832, 262, 1524, 284, 262, 1957, 16723, 13, 198, 198, 19927, 198, 198, 8017, 8679, 11, 30223, 13, 1770, 13, 12406, 338, 6378, 13, 968, 1971, 25, 4543, 296, 417, 13661, 11, 5878, 13, 12578, 13, 198, 198, 7437, 4286, 3835, 198, 14585, 1751, 338, 3835, 198, 26829, 338, 3835, 546, 3234, 290, 26289, 33, 1156, 3944, 365, 357, 6286, 3945, 352, 11, 17672, 287, 21165, 11, 15555, 8, 318, 257, 5398, 32705, 290, 26777, 13, 220, 2293, 2712, 287, 262, 22782, 290, 5559, 3881, 11760, 11346, 38989, 290, 383, 34744, 18733, 1022, 14745, 290, 7795, 11, 3944, 365, 2540, 257, 3451, 49760, 2647, 329, 2646, 290, 5581, 13, 198, 198, 17784, 263, 198, 198, 15571, 38989, 290, 262, 34744, 18733, 357, 35411, 1906, 21113, 8, 198, 198, 12193, 365, 7042, 7547, 14419, 25156, 351, 465, 15203, 3956, 13067, 11, 635, 257, 32705, 11, 290, 14015, 7148, 609, 3732, 287, 14745, 706, 484, 1138, 832, 262, 22647, 27794, 850, 25584, 287, 21165, 11, 15555, 13, 220, 383, 4097, 373, 1790, 12, 24489, 11, 475, 262, 1115, 9393, 257, 649, 1448, 1444, 7023, 338, 1400, 376, 19296, 5765, 357, 27903, 1900, 416, 262, 38787, 11346, 38989, 8, 1568, 326, 614, 13, 220, 2080, 257, 24012, 18662, 2665, 11, 11346, 38989, 2716, 1440, 406, 12016, 290, 4983, 355, 36745, 6448, 329, 262, 22647, 22782, 3356, 287, 3090, 284, 32596, 262, 22782, 3881, 3715, 379, 1588, 878, 35758, 278, 13413, 287 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 2951, 572, 514, 764, 9937, 321, 17115, 14209, 837, 287, 534, 4459, 837, 644, 1718, 1295, 994, 5633, 22366, 1312, 423, 1683, 1775, 837, 673, 7082, 764, 1662, 3288, 788, 5633, 72, 17666, 766, 703, 764, 72, 714, 766, 262, 12749, 287, 262, 26770, 5101, 31833, 379, 607, 2456, 764, 14150, 345, 587, 8776, 287, 777, 6067, 5633, 9937, 321, 17115, 14209, 14869, 8820, 3319, 1346, 837, 10818, 21712, 878, 673, 7082, 764, 44040, 837, 3763, 764, 4360, 407, 8776, 764, 20839, 345, 766, 2687, 319, 262, 12788, 5633, 3137, 616, 1751, 764, 67, 20805, 874, 3211, 13112, 523, 2952, 3812, 262, 582, 1306, 284, 683, 326, 1312, 42547, 1682, 766, 683, 5552, 262, 582, 416, 262, 10147, 290, 1128, 3507, 683, 523, 7173, 326, 511, 2951, 1138, 764, 1169, 2276, 5158, 523, 1877, 284, 262, 582, 326, 1312, 550, 257, 1327, 640, 2508, 2259, 1978, 465, 6827, 764, 20657, 534, 36328, 290, 2005, 572, 2687, 1043, 19105, 832, 262, 8222, 764, 1169, 582, 37901, 832, 262, 4315, 290, 736, 656, 262, 1748, 837, 257, 1178, 1854, 1708, 683, 764, 24622, 2255, 13528, 2900, 736, 284, 8805, 321, 17115, 14209, 764, 9288, 606, 477, 764, 361, 597, 2153, 873, 389, 1043, 1871, 606, 837, 1494, 606, 764, 1169, 6028, 287, 616, 11384, 43713, 837, 37493, 832, 616, 1767, 588, 6757, 1050, 3378, 764, 16833, 4190, 373, 5055, 319, 5743, 764, 482, 323, 837, 1751, 5145, 9937, 321, 17115, 14209, 82, 3809, 1489, 12657, 837, 290, 673, 537, 6320, 607, 2832, 772, 996, 673, 1541, 550, 790, 1952, 38404, 3241, 764, 489, 1347, 257, 37923, 286, 8701, 837, 673, 750, 428, 5223, 837, 21135, 837, 290, 1745, 340, 287, 534, 1021, 351, 534, 9353, 41108, 1088, 262, 2779, 764, 5310, 437, 534, 18606, 318, 257, 1787, 837, 351, 262, 11865, 17274, 510, 764, 1169, 6028, 287, 616, 11384, 2540, 3867, 18644, 757, 764, 72, 2936, 24480, 515, 764, 5661, 2829, 1332, 561, 307, 4388, 837, 475, 703, 262, 5384, 550, 4499, 340, 34672, 1068, 502, 764, 72, 27846, 379, 387, 9618, 837, 3025, 3124, 1203, 1986, 18484, 379, 8805, 321, 17115, 14209, 351, 32816, 12245, 764, 7091, 1541, 550, 607, 11865, 503, 49729, 287, 2166, 286, 607, 764, 72, 2497, 257, 1218, 11865, 7500, 448, 1022, 607, 17275, 9353, 764, 1169, 530, 1176, 356, 714, 429, 1630, 373, 674, 4637, 284, 262, 4534, 764, 259, 1109, 837, 428, 4637, 373, 429, 772, 257, 1176, 837, 475, 262, 2723, 286, 674, 5635, 764, 489, 4092, 257, 5445, 11865, 286, 8701, 287, 674, 18057, 837, 351, 674, 5814, 9353, 1088, 340, 550, 262, 976, 1245, 286, 852, 18969, 3264, 656, 262, 1204, 18041, 286, 2802, 4534, 764, 34330, 621, 14176, 262, 6134, 1022, 1751, 837, 777, 5384, 561, 307, 1498, 284, 766, 262, 4618, 3957, 287, 674, 2832, 764, 1169, 1448, 286, 1450, 379, 262, 2779, 286, 262, 12788, 3888, 3812, 514, 764, 9930, 7773, 34295, 262, 717, 1627, 286, 1751, 82, 6134, 878, 2859, 3500, 606, 656, 262, 3240, 764, 82, 19404, 1751, 2162, 2192, 17280, 1450, 764, 1169, 23844, 286, 3252, 1312, 2936, 373, 783, 257, 3518, 23844, 287, 616, 13589, 764, 24219, 837, 1312, 42547, 16498, 3151, 329, 616, 898, 11865, 286, 8701, 764, 9579, 262, 7319, 778, 3378, 286, 3252, 18750, 257, 2589, 286, 23258, 1058, 356, 547, 1016, 284, 307, 5071, 290, 788, 2192, 2923, 764, 72, 1807, 546, 374, 17307, 361, 339, 373, 597, 2793, 319, 262, 12788, 621, 356, 547, 339, 1244, 1541, 307, 4978, 764, 270, 2936, 588, 257, 890, 640, 550, 3804, 1201, 339, 5954, 502, 422, 262, 9482, 5509, 475, 340, 550, 587, 691, 2250, 764, 8807, 2046, 3350, 416, 5536, 714, 423, 3940, 345, 736, 832, 262, 11135, 837, 465, 2456, 1625, 284, 502, 837, 3940, 416, 262, 2456, 286, 428, 12659, 1332, 837, 16614, 534, 18606, 318, 257, 1787, 837, 351, 262, 11865, 17274, 510, 764, 361, 262, 2995, 286, 428, 1110, 547, 588, 2401, 2879, 274, 24167, 7773, 287, 257, 1627, 837, 883, 2456, 547, 262, 31357, 326, 2067, 606, 256, 14739, 764, 361, 883, 2401, 2879, 274, 3214, 287, 640, 837, 8263, 262, 3352, 284, 257, 2818, 7791, 837, 511, 256, 14739, 561, 7766, 262, 6802, 2157, 883, 2995, 764, 64, 4088, 30050, 832, 616, 2000, 837, 530, 286, 616, 49414, 9846, 764, 1820, 3397, 837, 1111, 16755, 837, 550, 2077, 502, 284, 257, 5659, 23021, 257, 1178, 812, 2084, 764, 24571, 6698, 547, 523, 6568, 284, 2342, 6164, 1657, 510, 355, 1312, 5924, 2107, 2647, 12082, 351, 262, 7259, 286, 262, 5440, 764, 72, 1043, 3589, 3573, 3144, 30829, 416, 262, 39206, 508, 6856, 262, 2647, 764, 258, 28805, 262, 12834, 351, 262, 38071, 286, 262, 5440, 764, 19419, 683, 837, 612, 714, 307, 645, 17771, 12401, 764, 1820, 3397, 1444, 683, 262, 4490, 17266, 47692, 764, 72, 427, 4185, 1068, 25856, 355, 1312, 2540, 284, 1833, 262, 12659, 17771, 12401, 326, 550, 34660, 994, 764, 8117, 373, 691, 530, 7468, 837, 691, 530, 1738, 674, 3240, 714, 423, 587, 6572, 416, 10883, 2046, 837, 691, 530, 1738, 777, 1450, 561, 760, 674, 13141, 1058, 356, 550, 587, 26281, 764, 1820, 50130, 278, 5025, 355, 616, 5761, 2627, 7138, 1598, 764, 8807, 530, 286, 674, 898, 714, 423, 3350, 262, 16209, 326, 3940, 502, 736, 832, 262, 11135, 286, 2802, 5509, 764, 8807, 530, 286, 674, 898, 714, 423, 7817, 262, 5384, 703, 284, 15714, 514, 422, 606, 764, 392, 612, 373, 691, 530, 286, 674, 898, 508, 373, 991, 7382, 994, 837, 36105, 287, 262, 16187, 286, 262, 8222, 837, 393, 3737, 287, 262, 3240, 764, 454, 13935, 263, 837, 262, 39206, 837, 262, 4490, 17266, 47692, 286, 29355, 837, 373, 474, 3768, 6413, 764, 43582, 1440, 1312, 42547, 423, 640, 329, 10953, 475, 484, 1625, 6949, 764, 9930, 550, 8556, 523, 867, 1661, 1141, 428, 30600, 326, 1312, 3443, 714, 429, 1907, 606, 764, 72, 3088, 284, 4574, 616, 9942, 656, 262, 5440, 290, 4054, 764, 18927, 287, 502, 3443, 6265, 764, 72, 2936, 3436, 764, 10197, 611, 474, 3768, 6413, 1625, 329, 514, 837, 356, 561, 429, 307, 7448, 764, 72, 42547, 760, 810, 616, 661, 547, 393 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 357, 14664, 6749, 8, 5990, 948, 8942, 16049, 324, 4782, 318, 5140, 287, 262, 1290, 5366, 286, 262, 2520, 5451, 286, 968, 8936, 13, 632, 318, 1128, 7241, 306, 262, 4387, 16997, 13510, 25357, 324, 4782, 287, 262, 995, 13, 317, 1966, 18931, 29957, 1014, 11, 340, 318, 783, 257, 2366, 9458, 290, 262, 749, 2968, 3895, 286, 262, 16749, 1045, 431, 260, 367, 931, 20614, 17762, 13, 198, 198, 7191, 262, 1903, 812, 286, 262, 29112, 4289, 11, 18931, 2706, 21514, 881, 286, 262, 6868, 30605, 286, 968, 8936, 13, 383, 1526, 75, 17913, 27893, 5834, 11, 530, 286, 262, 1499, 338, 4387, 37683, 2706, 11, 373, 2045, 329, 649, 3006, 286, 8222, 284, 3939, 11, 290, 5257, 284, 5713, 262, 18931, 2489, 284, 281, 25783, 2117, 4674, 290, 2408, 284, 1895, 1989, 286, 30605, 1969, 284, 1665, 15329, 413, 3609, 4696, 287, 262, 7022, 338, 46065, 5228, 13, 383, 1388, 30605, 285, 2967, 373, 20254, 84, 13, 198, 198, 15457, 373, 6198, 691, 1695, 416, 4074, 11, 290, 257, 348, 37595, 290, 9443, 547, 3170, 379, 4347, 13854, 11, 475, 1679, 23990, 286, 24484, 29957, 1014, 547, 991, 2622, 284, 4839, 17259, 284, 262, 348, 37595, 13, 2312, 550, 284, 3272, 1440, 1588, 11, 2769, 20246, 11, 290, 1440, 1588, 4898, 12, 83, 2118, 293, 25357, 324, 4782, 82, 547, 3170, 284, 9989, 428, 13, 383, 4387, 286, 777, 12606, 262, 38506, 8942, 13, 28477, 287, 37272, 11, 340, 373, 13151, 18985, 287, 4129, 290, 4570, 18985, 1029, 13, 198, 198, 13898, 329, 262, 1664, 11, 262, 30605, 373, 407, 286, 1029, 3081, 290, 8302, 16378, 284, 2604, 13, 15062, 10137, 351, 7463, 30605, 4536, 357, 23301, 284, 262, 9025, 286, 1895, 1022, 262, 2520, 5451, 338, 4736, 290, 262, 7272, 8222, 276, 2688, 8545, 351, 262, 11939, 286, 262, 19740, 8704, 35863, 828, 262, 4347, 13854, 4905, 373, 2952, 287, 5876, 290, 373, 9958, 287, 35768, 11, 655, 355, 5415, 30605, 3227, 550, 587, 8793, 13, 198, 198, 19452, 6944, 286, 262, 25357, 324, 4782, 1718, 1295, 1141, 262, 6303, 82, 11, 355, 636, 286, 670, 319, 262, 649, 367, 931, 20614, 6155, 2610, 13, 7735, 19414, 670, 373, 21846, 26913, 416, 262, 2732, 286, 23702, 11, 2520, 1044, 5665, 4281, 290, 262, 4347, 13854, 16049, 324, 4782, 82, 9870, 287, 262, 3095, 12, 10333, 82, 13, 198, 198, 45398, 290, 36155, 220, 198, 198, 464, 25357, 324, 4782, 11, 543, 7042, 636, 286, 262, 367, 931, 20614, 17762, 290, 2520, 8545, 17762, 11, 373, 4838, 284, 1171, 1895, 287, 1737, 2211, 2233, 284, 44494, 30605, 290, 584, 3747, 4786, 13, 1052, 13527, 6339, 17286, 278, 262, 25357, 324, 4782, 373, 12006, 416, 262, 2732, 286, 23702, 13, 198, 198, 20459, 10030, 373, 6439, 1566, 3945, 1946, 618, 262, 2732, 286, 23702, 290, 9344, 2520, 1044, 16387, 26905, 3, 22148, 11, 830, 284, 11169, 340, 290, 262, 584, 1115, 25357, 324, 4782, 82, 319, 262, 1966, 18931, 6787, 1627, 13, 220, 262, 7696, 373, 4838, 290, 19414, 670, 550, 407, 9258, 13, 797, 29443, 373, 2938, 287, 2864, 13, 383, 25357, 324, 4782, 37415, 287, 2739, 2864, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 3791, 8936, 2732, 286, 23702, 367, 931, 20614, 2443, 198, 47247, 1045, 431, 260, 6188, 9072, 198, 198, 16, 284, 2026, 11, 830, 3975, 198, 198, 37371, 39, 11571, 21743, 314, 26890, 287, 2520, 1044, 11, 968, 8936, 198, 33, 32124, 287, 2520, 1044, 11, 968, 8936, 198, 22911, 268, 19432, 287, 968, 8936, 198, 38432, 324, 4782, 82, 287, 968, 8936, 198, 44631, 1014, 19432, 287, 968, 8936, 198, 33, 32124, 5668, 287, 37272, 198, 44631, 4839, 287, 2520, 1044, 11, 968, 8936, 198, 44631, 8025, 19432, 198, 40454, 82, 10959, 287, 968, 8936, 198, 10547, 585, 1044, 198, 1129, 1954, 33228, 287, 968, 8936, 22308, 18531, 373, 257, 3783, 10165, 4336, 89, 500, 3199, 416, 42734, 347, 10332, 82, 422, 21794, 284, 25177, 13, 632, 373, 19332, 329, 262, 24718, 29884, 12, 48098, 78, 329, 6705, 13836, 89, 500, 13, 198, 198, 37146, 669, 3017, 350, 2852, 9918, 11, 3700, 1086, 680, 11, 14576, 5264, 37755, 11, 11325, 19674, 10076, 11, 3271, 35999, 11, 6025, 40144, 357, 292, 366, 41017, 1086, 680, 12340, 3409, 5826, 74, 20951, 11, 3977, 371, 1747, 1754, 11, 290, 3619, 2531, 263, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 5274, 18531, 2691, 379, 4336, 330, 13, 2398, 198, 198, 7469, 16260, 3783, 10165, 16695, 3199, 287, 262, 1578, 1829, 198, 13436, 15742, 4920, 287, 21794, 198, 13436, 15742, 595, 27718, 287, 25177, 198, 26959, 10165, 4336, 89, 1127, 464, 13429, 318, 257, 20510, 5062, 416, 262, 12963, 8118, 1648, 260, 513, 13, 198, 198, 464, 19886, 319, 262, 8296, 373, 8118, 1648, 260, 338, 1218, 34269, 1203, 1448, 13, 679, 531, 379, 262, 640, 326, 262, 19886, 373, 564, 250, 12947, 278, 329, 257, 1479, 2565, 286, 5680, 1483, 290, 1296, 447, 251, 13, 198, 198, 1026, 373, 816, 14054, 11, 816, 2966, 290, 302, 12, 30147, 416, 13182, 44, 287, 9768, 355, 257, 4274, 12, 40916, 351, 262, 19886, 338, 584, 20510, 569, 3760, 8296, 11, 21278, 357, 4480, 1115, 4271, 555, 39361, 8339, 422, 262, 2932, 10991, 737, 198, 198, 24802, 13487, 198, 1, 40, 310, 385, 1, 357, 9914, 5031, 347, 1636, 8, 532, 362, 25, 2598, 198, 1, 2504, 338, 6407, 11, 1320, 338, 6407, 1, 532, 604, 25, 3901, 198, 1, 50, 9229, 1, 532, 604, 25, 2598, 198, 1, 1199, 343, 21062, 81, 1, 532, 604, 25, 4051, 198, 1, 9914, 5031, 1, 357, 12041, 347, 1636, 8, 532, 604, 25, 2327, 198, 1, 10248, 16390, 1, 357, 47073, 21835, 8, 532, 604, 25, 3980, 198, 1, 43069, 1, 532, 513, 25, 2481, 198, 1, 464, 14014, 315, 1, 532, 604, 25, 2718, 198, 198, 17699, 8339, 319, 9768, 13182, 44, 302, 21949, 25, 198, 198, 1, 5308, 14190, 1, 532, 642, 25, 3070, 198, 1, 12966, 1819, 3093, 1, 357, 9914, 5031, 347, 1636, 8, 532, 718, 25, 2931, 198, 1, 9360, 65, 1222, 314, 310, 385, 1, 532, 657, 25, 2598, 198, 198, 3237, 33543, 416, 12963, 8118 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 6099, 3690, 4486, 13, 198, 198, 2953, 262, 29714, 6, 3249, 286, 1194, 22120, 11, 262, 2332, 918, 71, 11033, 7220, 31003, 11, 319, 1160, 3267, 3050, 340, 373, 4987, 326, 340, 714, 307, 8155, 416, 9243, 265, 16057, 518, 260, 72, 370, 2535, 268, 13, 198, 198, 9414, 1746, 220, 198, 21327, 262, 4081, 4394, 262, 1708, 3858, 286, 6099, 25, 198, 54, 2535, 263, 17315, 198, 54, 2535, 263, 350, 4487, 1008, 198, 54, 2535, 263, 2141, 46357, 65, 735, 198, 54, 2535, 263, 775, 33977, 198, 54, 2535, 263, 6379, 65, 959, 198, 25896, 9038, 338, 5648, 7750, 198, 25896, 9038, 338, 978, 1706, 198, 1415, 1959, 532, 29533, 13745, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 198, 16060, 7700, 286, 262, 4081, 220, 198, 198, 49802, 287, 4486, 198, 49802, 11394, 286, 4486, 198, 54, 2535, 268, 28900, 831, 5714, 318, 257, 7404, 290, 257, 3026, 28830, 357, 5574, 83, 4169, 346, 8, 286, 262, 2679, 3240, 286, 15195, 385, 3900, 11, 5140, 287, 262, 4783, 286, 337, 11033, 81, 74, 25308, 12, 46, 1082, 1044, 287, 13512, 37036, 13, 1081, 286, 4343, 663, 3265, 373, 286, 30435, 13, 198, 198, 18122, 198, 464, 7404, 373, 717, 4750, 287, 1511, 2425, 351, 262, 1438, 286, 9544, 831, 26400, 13, 198, 198, 10082, 4867, 198, 28900, 831, 5714, 318, 22765, 287, 262, 7627, 286, 15195, 385, 3900, 11, 319, 257, 2975, 17795, 262, 3240, 290, 13452, 322, 11, 1969, 284, 371, 7456, 7278, 67, 24263, 290, 284, 262, 8830, 10384, 284, 262, 337, 11033, 81, 74, 46097, 40430, 528, 10362, 3250, 13, 632, 318, 635, 5884, 351, 262, 6716, 7404, 286, 2671, 4584, 1477, 9101, 258, 416, 257, 2975, 326, 6117, 797, 71, 16265, 68, 290, 7164, 89, 559, 12, 27676, 42140, 351, 14770, 6197, 67, 24263, 13, 198, 198, 6214, 635, 198, 41347, 385, 3900, 198, 9861, 4584, 1477, 9101, 258, 198, 49, 7456, 7278, 67, 24263, 198, 198, 19927, 198, 198, 41506, 6117, 628, 9544, 831, 5714, 3052, 198, 198, 42074, 1095, 287, 13512, 37036, 198, 41347, 385, 3900, 198, 14282, 29364, 287, 13512, 37036, 198, 1485, 2154, 82, 33228, 287, 262, 7439, 7993, 8065, 198, 1485, 2425, 33228, 287, 2031, 1, 818, 26354, 1, 318, 262, 16974, 2060, 416, 4960, 3881, 4097, 23694, 6896, 11, 2716, 319, 2901, 1315, 11, 8235, 13, 632, 4251, 1271, 362, 319, 262, 440, 1173, 261, 5573, 829, 22086, 11, 290, 8262, 276, 329, 5193, 2745, 13, 554, 8235, 11, 340, 373, 15704, 3561, 416, 262, 371, 3539, 41, 329, 4200, 625, 939, 11, 830, 13, 383, 3496, 338, 18767, 2008, 3033, 257, 1862, 412, 20770, 29866, 89, 13, 383, 3496, 373, 973, 355, 262, 7505, 3496, 329, 262, 717, 1622, 286, 262, 4960, 10873, 286, 262, 1605, 5581, 10512, 4842, 13408, 13, 198, 198, 24802, 13487, 198, 3237, 7259, 3194, 290, 13160, 416, 23694, 6896, 13, 198, 198, 1, 818, 26354, 1, 532, 642, 25, 2327, 22731, 13160, 416, 13691, 41282, 13, 17571, 12285, 25355, 416, 14015, 9084, 2879, 30574, 72, 13, 198, 1, 19591, 1, 532, 767, 25, 2091, 22731, 13160, 416, 13691, 41282, 13, 198, 198, 19927, 198, 198, 43, 9613, 6896, 7259, 198, 22288, 25287, 198, 22288, 7259, 41, 709, 15927, 5325, 72, 46195, 1990, 72, 38325, 357, 6286, 2242, 3267, 12113, 8, 318, 257, 50008, 12769, 1021, 1894, 2137, 329, 509, 459, 16487, 84, 290, 262, 50008, 12769, 2260, 1074, 13, 198, 198, 24274, 3032, 4662, 220, 198, 36, 29567, 6662, 4041, 25, 198, 48056, 25, 2211, 198, 26766, 9064, 396, 25, 2321, 11, 2177, 11, 2864, 198, 36, 29567, 5454, 42754, 6, 5454, 25, 198, 48056, 25, 4793, 11, 3050, 198, 22030, 10749, 25, 198, 48056, 25, 2321, 198, 46, 6760, 291, 5776, 25, 198, 26766, 9064, 396, 25, 2321, 198, 198, 35392, 13304, 198, 1439, 12, 8248, 6498, 13405, 286, 262, 3427, 10749, 25, 2321, 11, 12131, 198, 1439, 12, 8248, 4816, 286, 262, 412, 29567, 6662, 4041, 25, 1946, 11, 1584, 11, 13130, 11, 12131, 198, 1439, 12, 8248, 6498, 13405, 286, 262, 2159, 10749, 25, 1853, 11, 13130, 198, 7157, 1894, 12, 41801, 13, 785, 1439, 12, 8248, 6498, 13405, 25, 1853, 11, 2177, 11, 2864, 11, 220, 13130, 198, 36, 29567, 6662, 4041, 5849, 1446, 11934, 25, 12131, 198, 29643, 272, 12, 12885, 1894, 13, 785, 1475, 12, 56, 1018, 26388, 666, 7157, 1894, 263, 286, 262, 6280, 25, 2864, 11, 13130, 198, 5027, 64, 6929, 72, 346, 273, 7157, 6893, 377, 9019, 3570, 22940, 2516, 66, 39249, 11013, 132, 249, 1538, 128, 225, 6498, 13405, 286, 262, 7369, 25, 13130, 198, 198, 19927, 198, 198, 41506, 6117, 628, 220, 198, 198, 36376, 661, 198, 26031, 46495, 12769, 4048, 1021, 1894, 1938, 198, 28054, 27244, 198, 18153, 15332, 422, 17437, 7053, 3970, 198, 3109, 8071, 380, 378, 1021, 1894, 1938, 198, 26031, 46495, 12769, 1033, 26646, 378, 5701, 15332, 287, 19562, 198, 26031, 46495, 12769, 1033, 26646, 378, 5701, 15332, 287, 2258, 36353, 198, 26031, 46495, 12769, 1033, 26646, 378, 5701, 15332, 287, 23356, 198, 44802, 129, 239, 380, 26686, 412, 10468, 25247, 1938, 198, 12885, 1894, 1938, 379, 262, 2321, 10216, 14935, 198, 12885, 1894, 1938, 379, 262, 1584, 10216, 14935, 198, 12885, 1894, 1938, 379, 262, 12131, 10216, 14935, 198, 46, 6760, 291, 1021, 1894, 1938, 286, 50008, 305, 198, 46, 6760, 291, 18279, 1023, 287, 1021, 1894, 198, 46, 6760, 291, 8465, 18279, 1023, 329, 50008, 305, 198, 9921, 282, 1023, 379, 262, 2321, 10216, 14935, 198, 9921, 19012, 5776, 18279, 1023, 287, 1021, 1894, 198, 9921, 19012, 5776, 22101, 18279, 1023, 329, 50008, 305, 198, 7293, 316, 6742, 379, 262, 3717, 19517, 5776, 464, 7777, 379, 44969, 290, 33882, 6656, 10343, 9107, 3530, 389, 734, 9566, 5682, 5140, 287, 262, 520, 499, 10565, 6232, 286, 46034, 5451, 287, 968, 1971, 2254, 11, 5140, 546, 257, 2512, 5475, 422, 530, 1194, 13, 198, 198, 26780, 6656, 10343, 9107, 3530, 318, 257, 532, 13571, 11, 537, 499, 3526, 12, 32111, 5739, 2156, 351, 257, 308, 540, 9753, 13, 632, 3033, 257, 28408, 5685, 2349, 2493, 3713, 351, 362, 12, 13571, 11, 360, 8146, 1502, 15180, 7396, 284, 281, 625 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3066, 284, 307, 5293, 416, 257, 2793, 2184, 13, 632, 2921, 736, 12934, 4271, 8253, 416, 5370, 422, 262, 10349, 8028, 286, 15192, 13, 4930, 2745, 1568, 11, 262, 1301, 3662, 15832, 9951, 262, 3896, 1566, 3945, 718, 11, 12131, 13, 383, 1301, 3662, 15832, 32933, 262, 370, 39205, 3896, 319, 2693, 1105, 11, 13130, 290, 3199, 257, 9014, 3896, 319, 3035, 2310, 11, 12131, 13, 1550, 2932, 1542, 11, 33448, 11, 262, 1578, 1829, 5665, 3078, 329, 262, 5665, 286, 7943, 9617, 503, 262, 12131, 9014, 3896, 13, 198, 198, 818, 2795, 33448, 262, 3662, 286, 1992, 5689, 21010, 3414, 326, 340, 561, 9575, 262, 13130, 3896, 290, 11169, 1853, 9001, 38118, 262, 8354, 286, 2717, 12934, 625, 47518, 13, 198, 198, 9218, 8617, 286, 262, 39091, 276, 1853, 3896, 198, 464, 1853, 3896, 19047, 326, 5985, 5638, 2191, 357, 34, 15543, 8, 4056, 389, 517, 10582, 5447, 290, 19582, 284, 3613, 640, 290, 3368, 3484, 290, 10802, 287, 2003, 7822, 286, 262, 719, 13, 383, 3896, 19582, 284, 787, 340, 318, 4577, 284, 4331, 644, 2223, 7, 82, 8, 481, 307, 2077, 416, 262, 10193, 290, 644, 7767, 2706, 290, 584, 26138, 743, 423, 284, 17777, 329, 4493, 290, 29256, 13, 1318, 389, 645, 1277, 2458, 284, 262, 1099, 739, 262, 5985, 5638, 14330, 13, 2293, 3781, 11, 262, 10193, 290, 2732, 286, 262, 5407, 1043, 326, 2440, 4554, 286, 1660, 5197, 561, 4439, 257, 362, 25, 16, 8064, 286, 4034, 284, 3484, 287, 7822, 706, 262, 2457, 3896, 13, 220, 46333, 286, 262, 3896, 481, 22024, 597, 10939, 329, 6142, 5316, 5348, 11, 996, 340, 318, 1598, 326, 366, 24815, 913, 9750, 422, 9137, 11, 1877, 12, 12519, 11, 290, 17673, 9684, 11, 355, 880, 355, 584, 26138, 11, 468, 587, 257, 39774, 286, 2478, 286, 262, 2457, 3896, 526, 198, 198, 32419, 3307, 326, 423, 587, 28464, 416, 262, 3896, 389, 16493, 2174, 13, 198, 2896, 1127, 517, 4084, 262, 256, 2455, 3166, 290, 15909, 10150, 326, 389, 739, 2717, 12934, 290, 6688, 703, 484, 389, 5017, 198, 32, 256, 2455, 560, 11, 393, 28717, 1660, 11, 1276, 905, 3518, 3033, 286, 17609, 1660, 784, 257, 3996, 11, 3331, 11, 290, 8850, 1029, 1660, 1317, 784, 284, 8084, 4800, 13, 383, 3896, 3769, 4800, 329, 1182, 41555, 326, 423, 777, 3033, 290, 423, 257, 2383, 4637, 284, 33218, 10150, 13, 1215, 73, 12643, 10150, 389, 5447, 416, 1115, 18677, 5917, 4920, 416, 262, 3896, 13, 2312, 460, 2291, 49297, 11, 47339, 11, 848, 633, 902, 11, 290, 24768, 543, 460, 2928, 262, 5931, 11, 10685, 393, 3518, 11540, 286, 19651, 10150, 13, 198, 1879, 1678, 625, 4683, 10293, 507, 422, 262, 5985, 5638, 2191, 198, 3237, 4683, 10293, 507, 422, 30678, 4086, 6593, 389, 8720, 4920, 329, 262, 717, 640, 13, 21827, 973, 287, 3487, 14240, 11, 28752, 278, 11, 393, 3313, 85, 26823, 4568, 11, 355, 880, 355, 1728, 5447, 288, 9249, 11, 3161, 11513, 6763, 489, 392, 11, 290, 7030, 3513, 3341, 2555, 284, 307, 15009, 13, 198, 2297, 26873, 9376, 286, 10150, 543, 389, 2426, 284, 1339, 12, 1525, 12, 7442, 3781, 198, 8421, 262, 3896, 11, 2048, 597, 1660, 714, 307, 1234, 832, 281, 3781, 326, 6150, 1339, 12, 11423, 11, 772, 611, 340, 561, 407, 307, 5017, 739, 327, 15543, 13, 383, 3896, 7095, 779, 286, 1339, 12, 11423, 3781, 416, 4955, 18979, 290, 16287, 286, 6861, 3691, 1729, 12, 24326, 1660, 13, 24199, 262, 3896, 16031, 640, 290, 30940, 2252, 12660, 290, 262, 761, 284, 1011, 262, 1339, 284, 2184, 13, 198, 21916, 82, 1294, 366, 2301, 1538, 1660, 29561, 1, 198, 32419, 42640, 82, 423, 587, 3402, 284, 2928, 33218, 1660, 1535, 13, 383, 3896, 17289, 3936, 17475, 7201, 28191, 49297, 11, 17475, 41447, 507, 1444, 5913, 347, 592, 290, 262, 3519, 21819, 4216, 3876, 6862, 275, 592, 11, 8830, 220, 933, 282, 20354, 287, 3442, 11, 279, 420, 418, 1040, 11, 290, 584, 7201, 28191, 279, 849, 4316, 11, 618, 40288, 33218, 47518, 13, 198, 198, 7469, 3191, 564, 246, 54, 8605, 286, 262, 1578, 1829, 447, 247, 198, 464, 5985, 5638, 2191, 318, 262, 4165, 2717, 1099, 26379, 1660, 12231, 287, 262, 1578, 1829, 13, 383, 3303, 286, 262, 5985, 5638, 2191, 8477, 2346, 355, 27113, 284, 366, 54, 8605, 286, 262, 1578, 1829, 1911, 383, 719, 15738, 777, 10150, 355, 366, 28341, 328, 540, 47518, 1600, 543, 20417, 262, 719, 284, 9758, 4934, 284, 16697, 33078, 19497, 13, 4930, 471, 13, 50, 13, 5617, 3078, 5370, 11, 287, 5878, 290, 4793, 11, 16173, 262, 1099, 284, 2291, 10150, 407, 27606, 20436, 540, 326, 547, 15734, 20436, 540, 326, 1244, 307, 14704, 47478, 2004, 284, 307, 15032, 284, 16408, 393, 307, 925, 1695, 329, 16408, 13, 383, 8354, 286, 777, 5370, 3350, 656, 4719, 2793, 2184, 5370, 35391, 262, 719, 338, 4934, 284, 9117, 11344, 4934, 284, 15190, 11, 464, 1810, 1626, 4021, 318, 262, 1218, 8034, 5062, 422, 1550, 904, 284, 7001, 292, 13, 376, 2286, 593, 13407, 2716, 262, 5062, 319, 2805, 1315, 11, 2813, 13, 1550, 904, 284, 7001, 292, 3111, 351, 17826, 2677, 11, 287, 262, 3227, 286, 428, 5062, 13, 198, 198, 41000, 16307, 198, 198, 29321, 262, 5062, 281, 3624, 503, 286, 3478, 329, 6372, 10323, 5272, 907, 11, 5613, 1757, 2561, 619, 1525, 6797, 11, 366, 1026, 561, 307, 2562, 284, 8160, 428, 2391, 355, 6147, 7295, 11, 475, 340, 635, 4909, 28641, 4274, 12702, 11, 12974, 14608, 82, 11, 11975, 17825, 290, 4334, 10047, 7128, 5241, 526, 4746, 25305, 21041, 11, 46116, 262, 5062, 1440, 5788, 422, 5803, 45328, 10415, 448, 11, 2585, 11, 366, 464, 1810, 12511, 4021, 318, 3729, 407, 257, 2818, 5062, 2644, 475, 1550, 904, 1675, 7001, 292, 468, 617, 517, 20437, 319, 511, 2832, 13, 12136, 16600, 481, 2883, 428, 11, 645, 4719, 526, 35603, 262, 5062, 1440, 5788, 379, 31527, 19009, 7849, 11, 6542, 1139, 11, 366, 1212, 318, 281, 4457, 4735, 5062, 422, 281, 510, 290, 2406, 4097, 526, 13364, 27008, 11, 46116, 262, 5062, 1440, 290, 257, 2063, 5788, 416, 383, 968, 6602, 11, 8477, 11, 366, 3633, 262, 5062, 1244, 407, 307, 2818, 11 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 319, 1086, 2675, 520, 13, 290, 262, 352, 11, 3064, 12, 24073, 42746, 15752, 287, 262, 44410, 19495, 13, 198, 198, 39989, 338, 1086, 2675, 15752, 338, 19245, 14135, 373, 2714, 319, 838, 2805, 30992, 351, 32234, 347, 13, 1024, 4460, 293, 338, 2094, 470, 9794, 3406, 13895, 3903, 20495, 38109, 47528, 13, 198, 198, 818, 37272, 11, 262, 9659, 383, 265, 411, 6333, 373, 2702, 284, 43261, 13094, 11, 543, 416, 35768, 29768, 1688, 44481, 284, 262, 21421, 1390, 2615, 281, 40095, 6028, 13, 383, 14359, 6150, 281, 4075, 3807, 21421, 1566, 25177, 13, 198, 198, 464, 4518, 1471, 28402, 198, 14291, 257, 2278, 286, 2048, 3478, 812, 1141, 543, 262, 3119, 6150, 23957, 11, 287, 15904, 11, 262, 14359, 373, 8155, 329, 327, 3, 18741, 11, 830, 416, 1957, 19500, 1717, 7698, 3900, 508, 788, 13356, 2252, 327, 3, 9031, 11, 830, 287, 1502, 284, 10385, 340, 656, 257, 16212, 8984, 3706, 262, 4518, 1471, 28402, 13, 45827, 416, 262, 968, 1971, 2254, 6715, 2523, 11, 340, 2163, 276, 355, 257, 8073, 21421, 9593, 4356, 829, 4188, 2523, 290, 5341, 351, 477, 12, 22606, 26217, 13, 198, 198, 1026, 373, 7698, 3900, 508, 3066, 284, 1210, 262, 14359, 338, 6727, 29780, 1241, 656, 257, 29779, 1497, 11, 693, 539, 4107, 12, 4906, 2318, 351, 257, 9280, 4314, 13, 383, 4518, 1471, 28402, 1816, 1497, 416, 15408, 290, 373, 6928, 351, 39713, 15301, 11, 257, 8073, 290, 9280, 33362, 14359, 13, 198, 198, 24338, 338, 15301, 198, 3886, 3095, 7169, 82, 11, 262, 2615, 373, 8155, 416, 46892, 1778, 5741, 257, 13, 74, 13, 64, 13, 1770, 13, 5741, 11, 4870, 286, 257, 6716, 13707, 1222, 1514, 5228, 3650, 319, 24967, 24962, 290, 2113, 65, 585, 11, 508, 550, 1716, 4609, 287, 262, 2647, 14359, 3721, 832, 383, 10821, 2097, 290, 262, 1334, 286, 262, 7169, 82, 7542, 2688, 3715, 13, 1550, 3635, 642, 2693, 12863, 11, 5741, 338, 15301, 373, 4721, 355, 257, 2647, 3430, 416, 1770, 13, 5741, 11, 262, 14359, 338, 49829, 11, 351, 15360, 319, 262, 1353, 4314, 290, 2107, 2647, 319, 262, 1388, 4314, 11, 881, 355, 340, 318, 1909, 13, 383, 845, 717, 2107, 905, 379, 262, 649, 14359, 319, 663, 4756, 1755, 373, 22237, 462, 35754, 13, 383, 1218, 2107, 905, 960, 14573, 371, 1098, 78, 11, 508, 547, 21765, 319, 22237, 462, 35754, 338, 15602, 960, 83, 566, 1295, 734, 2745, 1568, 319, 678, 2693, 12863, 13, 383, 3430, 373, 1280, 3598, 1528, 257, 1285, 7317, 351, 32714, 5033, 663, 9877, 1755, 9593, 1957, 6586, 8204, 263, 5278, 376, 7761, 338, 24824, 3502, 5265, 9986, 21742, 351, 2972, 1957, 3715, 6809, 884, 355, 1866, 286, 8547, 1793, 709, 4224, 338, 1793, 4598, 13, 198, 198, 464, 14359, 338, 1903, 2107, 10010, 25452, 2450, 960, 35749, 48525, 1957, 3881, 11760, 5556, 11823, 3230, 357, 29471, 3517, 290, 1605, 8, 19907, 6529, 960, 27718, 257, 10451, 326, 561, 307, 3767, 3690, 262, 4647, 326, 3940, 13, 30900, 11, 1957, 6586, 12, 20337, 290, 584, 5398, 6529, 547, 16231, 18774, 422, 262, 6716, 7542, 2688, 3715, 25, 1804, 880, 379, 7542, 2688, 10222, 884, 355, 383, 10821, 2097, 11, 367, 669, 5069, 2577, 32693, 11, 290, 383, 34686, 11106, 561, 3221, 1255, 287, 852, 21765, 379, 5741, 338, 15301, 13, 383, 14359, 338, 4039, 26979, 34443, 288, 6, 2348, 7012, 318, 257, 401, 1726, 287, 262, 350, 798, 8691, 3814, 286, 8031, 13, 632, 318, 287, 262, 8473, 286, 327, 1726, 78, 11, 290, 318, 6135, 13276, 5093, 7627, 286, 262, 3240, 286, 327, 1726, 78, 13, 220, 198, 198, 26979, 34443, 373, 717, 6264, 287, 262, 838, 400, 4289, 11, 355, 257, 7674, 286, 262, 6031, 31292, 286, 8304, 72, 290, 1568, 3804, 284, 262, 5564, 3529, 1641, 508, 3170, 262, 16669, 379, 1962, 533, 710, 13, 198, 198, 5080, 259, 11684, 851, 6621, 4736, 198, 26979, 34443, 288, 6, 2348, 7012, 318, 15203, 2817, 351, 25, 628, 220, 5966, 421, 72, 14064, 411, 12, 48615, 12, 53, 42816, 11, 4881, 198, 198, 19927, 198, 198, 34, 871, 290, 11684, 287, 350, 798, 8691, 198, 15450, 3529, 818, 22939, 11, 262, 21486, 22609, 361, 459, 328, 1505, 318, 262, 2608, 400, 5030, 4735, 357, 41, 2075, 737, 632, 460, 307, 12006, 416, 9679, 734, 1986, 12, 16338, 46963, 778, 6583, 1863, 11188, 6616, 6698, 11, 3501, 257, 3860, 12, 15344, 284, 530, 46475, 13, 632, 318, 262, 691, 5030, 4735, 326, 460, 17763, 1115, 12, 19577, 2272, 13, 198, 198, 1026, 318, 635, 262, 37423, 3785, 286, 262, 1729, 403, 6933, 279, 12, 80, 18545, 415, 541, 81, 1042, 357, 361, 279, 290, 10662, 389, 3744, 621, 362, 737, 7945, 262, 1109, 326, 279, 11, 10662, 796, 513, 561, 7800, 257, 4903, 908, 81, 1146, 10411, 7548, 284, 262, 5030, 4735, 11, 340, 16523, 257, 4456, 47495, 16558, 326, 18105, 477, 9421, 1063, 11, 2845, 329, 262, 1339, 279, 796, 642, 11, 10662, 796, 837, 543, 6870, 257, 8187, 1049, 18545, 415, 541, 81, 1042, 13, 198, 198, 20459, 10668, 11, 262, 39696, 515, 256, 21879, 27923, 4596, 831, 1868, 11, 460, 307, 1043, 355, 4778, 286, 262, 10668, 82, 286, 262, 279, 12, 80, 18545, 415, 541, 2442, 907, 13, 198, 198, 18122, 290, 1438, 198, 198, 464, 1438, 286, 262, 21486, 22609, 361, 459, 328, 1505, 2058, 422, 262, 9133, 3049, 328, 1505, 11, 3616, 257, 1017, 15816, 9753, 13, 554, 262, 3210, 19264, 9831, 286, 262, 5030, 1540, 2340, 11, 3182, 12, 1724, 734, 1540, 2340, 5884, 379, 511, 12536, 11, 290, 21486, 305, 12, 1724, 262, 734, 37192, 389, 19074, 351, 2461, 284, 1123, 584, 13, 198, 198, 464, 21486, 22609, 361, 459, 328, 1505, 338, 1295, 287, 262, 1351, 286, 5030, 1540, 2340, 11, 3393, 878, 262, 275, 291, 929, 12456, 11, 318, 4893, 416, 11681, 340, 355, 257, 3100, 20996, 21486, 22609, 291, 929, 5708, 13, 2329, 355, 262, 584, 3218, 6508, 12456, 423, 281, 39623, 8379, 286, 24438, 290, 44360, 7346, 257, 2060, 7514, 14520, 379, 262, 1353, 357, 28461, 9248, 11, 6616, 393, 28145, 1840, 828, 1123, 2063, 286, 262, 21486, 22609, 361, 459, 328, 1505, 10874, 286, 655 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 318, 318, 46374, 351, 262, 13179, 1448, 12809, 7, 18, 828, 290, 460, 307, 5772, 316, 380, 8863, 416, 262, 360, 4005, 634, 40682, 5724, 602, 7078, 11, 331, 707, 11, 290, 4836, 13, 18481, 864, 43180, 40686, 468, 477, 262, 28810, 442, 21093, 513, 35, 966, 2628, 355, 850, 24432, 13, 6524, 1564, 282, 43180, 40686, 318, 318, 46374, 351, 262, 29617, 519, 20996, 1448, 440, 7, 18, 8, 290, 468, 262, 513, 12, 19577, 28810, 966, 2628, 355, 850, 24432, 13, 198, 198, 32, 16578, 283, 2214, 468, 43180, 40686, 611, 340, 8338, 319, 262, 5253, 284, 262, 8159, 691, 11, 884, 355, 262, 2785, 286, 257, 4318, 2700, 13, 317, 15879, 2214, 468, 43180, 40686, 611, 340, 318, 287, 2511, 1927, 29879, 393, 23537, 4571, 351, 257, 14735, 290, 12852, 357, 259, 904, 14, 448, 904, 8, 6906, 319, 262, 5253, 284, 262, 8159, 691, 11, 884, 355, 257, 4318, 2700, 13, 198, 198, 6214, 635, 198, 1148, 313, 28338, 198, 18481, 864, 40686, 198, 2142, 1548, 287, 257, 599, 372, 1146, 23606, 19482, 2785, 198, 12822, 1046, 338, 44728, 198, 198, 19927, 198, 198, 13940, 3020, 11973, 198, 49, 14221, 464, 7835, 327, 40340, 1042, 318, 257, 1688, 6115, 319, 262, 19564, 286, 262, 7835, 4564, 3194, 416, 1757, 6912, 261, 290, 3199, 287, 15231, 13, 220, 632, 373, 3194, 379, 262, 2581, 286, 13258, 3362, 13889, 284, 3753, 262, 22106, 286, 11067, 26262, 33108, 706, 262, 5498, 19057, 4281, 357, 1129, 5237, 12, 45271, 737, 2750, 15589, 11, 1802, 11, 830, 9088, 550, 587, 2702, 13, 198, 198, 464, 7835, 327, 40340, 1042, 373, 257, 2383, 670, 287, 262, 2565, 326, 340, 6986, 3181, 3660, 19057, 2873, 7835, 7743, 290, 4562, 656, 530, 1492, 11, 5023, 597, 584, 878, 11, 290, 373, 257, 34826, 284, 262, 327, 40340, 1042, 286, 262, 7835, 4564, 11, 543, 318, 262, 1743, 14873, 1431, 7743, 286, 262, 7835, 4564, 11, 3194, 416, 7212, 25564, 11738, 89, 3889, 357, 2197, 13258, 28697, 49090, 8, 290, 44532, 515, 416, 13258, 1757, 3362, 2873, 287, 9768, 13, 198, 198, 17309, 261, 338, 7835, 327, 40340, 1042, 3793, 257, 3210, 670, 319, 7835, 49371, 772, 284, 428, 1110, 13, 198, 198, 464, 1492, 318, 3199, 351, 262, 49413, 9710, 265, 290, 848, 3036, 2541, 13, 198, 198, 14832, 82, 198, 198, 19927, 198, 198, 38449, 1729, 12, 24046, 3835, 198, 17309, 261, 338, 327, 40340, 1042, 42950, 6340, 5289, 11, 393, 9940, 33067, 5289, 11, 389, 8440, 393, 3359, 6340, 5289, 925, 422, 3348, 3526, 13, 198, 198, 36687, 198, 42950, 8440, 6340, 5289, 1282, 287, 1162, 2143, 515, 13608, 3526, 11, 13027, 4898, 13136, 393, 23371, 351, 30592, 3898, 3348, 3526, 13, 2773, 389, 925, 286, 3348, 3526, 24185, 12498, 24011, 13, 12168, 9824, 423, 587, 4166, 13, 198, 198, 6214, 635, 198, 11801, 3440, 198, 198, 19927, 628, 376, 798, 1754, 11, 371, 13, 337, 11, 366, 20344, 3890, 6400, 3039, 8987, 1600, 27853, 10246, 11, 8735, 198, 31946, 10724, 11, 317, 13, 367, 1539, 366, 8291, 634, 6400, 3039, 1600, 40, 78, 10246, 11, 5472, 220, 198, 15423, 17411, 11, 370, 11, 366, 24553, 3263, 874, 286, 6400, 3039, 8987, 1600, 27853, 10246, 11, 6244, 11, 220, 198, 14063, 11, 509, 13, 406, 1539, 366, 4834, 25497, 286, 6400, 3039, 8987, 1600, 1757, 43424, 1222, 27989, 11, 3717, 11, 220, 198, 198, 20366, 432, 4839, 198, 11869, 3039, 19620, 11138, 1691, 373, 257, 2042, 14, 22595, 6147, 4097, 422, 4312, 5235, 11, 15238, 13, 198, 198, 18122, 198, 19620, 11138, 1691, 373, 530, 286, 262, 717, 11760, 284, 1296, 287, 262, 22158, 3257, 6147, 3715, 11, 7042, 287, 12122, 13, 2750, 9768, 11, 262, 4097, 550, 1541, 26306, 13, 4619, 262, 41584, 11, 867, 1866, 357, 10508, 355, 2275, 37648, 290, 7814, 1031, 286, 32888, 11, 290, 44684, 10447, 1142, 274, 11, 287, 5706, 11138, 1691, 355, 14912, 666, 10447, 1142, 274, 11, 286, 5481, 89, 388, 8, 389, 783, 2407, 5863, 355, 1866, 286, 262, 1903, 22158, 2042, 6147, 3715, 13, 1550, 1315, 3389, 1853, 11, 5706, 11138, 1691, 35440, 284, 1620, 379, 17175, 28747, 28469, 1853, 287, 4312, 5235, 11, 15238, 13, 198, 198, 25341, 198, 6544, 303, 412, 522, 5908, 5855, 4826, 37648, 4943, 784, 12702, 11, 25355, 357, 26709, 1906, 19891, 11, 1853, 8, 198, 309, 382, 1709, 1381, 2788, 784, 10047, 357, 26709, 1906, 23847, 11, 1853, 8, 198, 2365, 1629, 293, 6184, 227, 2655, 24172, 67, 5855, 47, 38014, 4943, 784, 24730, 11, 25355, 357, 26709, 1906, 23847, 11, 1853, 8, 198, 14912, 666, 10447, 1142, 274, 5855, 53, 853, 10447, 1142, 274, 4943, 784, 10047, 357, 25475, 1906, 24529, 8, 198, 449, 24172, 35906, 554, 469, 309, 13271, 3900, 784, 10047, 357, 24529, 1906, 23847, 8, 198, 2113, 1940, 399, 21241, 20306, 282, 5855, 35477, 1031, 4943, 784, 10047, 357, 26709, 1906, 25475, 8, 198, 13002, 75, 461, 21984, 85, 1940, 888, 784, 12702, 357, 24529, 1906, 23847, 8, 198, 198, 15642, 4867, 198, 383, 376, 433, 326, 10358, 1892, 1355, 220, 357, 9536, 78, 11, 2116, 12, 30147, 11, 11104, 8, 198, 2275, 11124, 286, 7576, 1443, 357, 9536, 78, 11, 2116, 12, 30147, 11, 6303, 8, 198, 6245, 8167, 1879, 66, 562, 357, 8905, 11, 16283, 1077, 13407, 11, 10249, 8, 198, 383, 35527, 32606, 357, 5589, 10520, 11, 18278, 11499, 13407, 11, 7358, 8, 198, 15251, 262, 11138, 1691, 10854, 295, 357, 5589, 10520, 11, 18278, 11499, 13407, 11, 7358, 8, 198, 17525, 797, 9269, 15238, 357, 12583, 5062, 11, 26319, 325, 13407, 11, 6244, 8, 198, 3954, 9724, 349, 3007, 12122, 1906, 23847, 357, 5589, 10520, 11, 8653, 32932, 13407, 11, 2211, 8, 198, 198, 19927, 198, 198, 21991, 20684, 2042, 6147, 10530, 2628, 198, 21991, 20684, 1918, 6147, 10530, 2628, 198, 10694, 605, 2628, 422, 4312, 5235, 198, 10694, 605, 2628, 4920, 287, 12122, 198, 26709, 33228, 287, 15238, 198, 10694, 605, 2628, 595, 27718, 287, 9768, 198, 23847, 595, 40037, 902, 287, 15238, 464, 9115, 4992, 5136, 220, 357, 37, 7112, 8, 28225, 113, 11976, 101, 28225, 227, 11976, 101, 24231, 223, 11976, 116, 11976, 101, 24231, 235, 11976, 100, 48077 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 198, 198, 1, 40, 1183, 9175, 21808, 1, 290, 366, 28406, 6378, 3806, 1, 2627, 880, 1900, 287, 1584, 618, 484, 547, 8096, 355, 262, 12268, 2647, 329, 367, 1651, 509, 13210, 8083, 338, 2008, 983, 5830, 4285, 27225, 11, 287, 3090, 284, 281, 4471, 286, 12265, 2633, 82, 13, 366, 33, 630, 258, 554, 1, 373, 8096, 287, 262, 15108, 11648, 2646, 376, 7197, 13, 198, 198, 24802, 13487, 198, 198, 19927, 198, 198, 4967, 16788, 198, 20535, 5564, 283, 16788, 44, 13, 376, 13, 41252, 2097, 11, 635, 1900, 355, 262, 19408, 21453, 2097, 290, 5706, 38029, 4564, 350, 12613, 496, 11, 318, 257, 9566, 1363, 5140, 379, 2677, 301, 631, 11, 6484, 7423, 3418, 11, 2520, 5913, 13, 220, 632, 373, 3170, 546, 1248, 2231, 290, 37287, 546, 46425, 284, 257, 8904, 734, 12, 13571, 18319, 24569, 11566, 13, 632, 318, 257, 734, 12, 13571, 11, 25653, 12, 70, 4510, 11566, 11, 673, 35932, 287, 6193, 3526, 290, 900, 319, 257, 336, 18863, 78, 276, 17214, 17748, 8489, 13, 632, 318, 262, 691, 29692, 7923, 388, 11566, 3170, 1626, 262, 2656, 7095, 286, 2677, 301, 631, 13, 198, 198, 1026, 373, 5610, 319, 262, 2351, 17296, 286, 30426, 37291, 287, 9162, 13, 198, 198, 19927, 198, 198, 39, 11370, 319, 262, 2351, 17296, 286, 30426, 37291, 287, 2520, 5913, 198, 33428, 666, 10959, 287, 2520, 5913, 198, 21944, 22618, 10959, 287, 2520, 5913, 198, 39, 11370, 5668, 287, 1248, 2857, 198, 39, 11370, 287, 6484, 7423, 3418, 11, 2520, 5913, 198, 16186, 17296, 286, 30426, 37291, 287, 6484, 7423, 3418, 11, 2520, 5913, 198, 1507, 2857, 33228, 287, 2520, 5913, 46, 76, 21070, 1375, 74, 9869, 19740, 2743, 357, 6286, 1467, 3426, 12923, 8, 318, 281, 3942, 14331, 75, 18171, 11, 508, 1839, 19461, 18279, 287, 262, 1450, 338, 8644, 14211, 3463, 1398, 379, 262, 1946, 17165, 5776, 379, 23995, 11, 8838, 13, 679, 387, 4487, 422, 25910, 45897, 333, 13, 679, 635, 14888, 379, 262, 3050, 17165, 5776, 287, 262, 8190, 14211, 1785, 13, 198, 198, 24206, 24174, 198, 198, 19927, 198, 198, 36376, 661, 198, 30821, 4257, 3463, 36195, 1010, 198, 25844, 36195, 1010, 379, 262, 3050, 7740, 5776, 198, 27301, 27244, 198, 17227, 14298, 5776, 1117, 439, 1023, 287, 3463, 30510, 198, 25844, 36195, 1010, 379, 262, 1946, 17165, 5776, 198, 17227, 14298, 5776, 22101, 1117, 439, 1023, 329, 3794, 198, 43224, 5776, 13861, 329, 3794, 49, 9189, 420, 42084, 10691, 13871, 4439, 9337, 287, 366, 6335, 72, 420, 42084, 812, 1600, 543, 1276, 307, 11513, 284, 11845, 9337, 416, 257, 1429, 1444, 36537, 13, 220, 2199, 571, 1358, 318, 2622, 780, 262, 20938, 1220, 8064, 11, 543, 318, 257, 1994, 5002, 287, 26019, 19772, 420, 42084, 9337, 11, 468, 407, 587, 6937, 15074, 13, 198, 198, 8743, 446, 7980, 1525, 11, 262, 33475, 286, 19772, 420, 42084, 10691, 11, 6235, 503, 355, 1903, 355, 25325, 262, 5885, 326, 262, 8064, 1244, 423, 15641, 625, 640, 13, 220, 8444, 7856, 16183, 2540, 284, 307, 4367, 1022, 8630, 9337, 290, 1900, 6754, 9667, 329, 46252, 37473, 11, 290, 340, 2627, 1598, 326, 257, 17137, 561, 761, 284, 307, 5625, 284, 19772, 420, 42084, 9337, 284, 7330, 11845, 9667, 13, 220, 791, 9948, 2889, 515, 9667, 743, 307, 5081, 355, 366, 6335, 72, 420, 42084, 812, 2084, 1600, 37640, 515, 366, 3972, 1911, 198, 198, 464, 3381, 7413, 21662, 357, 20866, 8, 318, 4920, 329, 6447, 9667, 10944, 422, 19772, 420, 42084, 3781, 11, 810, 366, 25579, 1, 318, 11445, 13, 220, 791, 9948, 2889, 515, 9667, 389, 5081, 355, 366, 403, 9948, 20997, 1600, 290, 48050, 357, 30283, 276, 8, 9667, 355, 366, 9948, 20997, 1911, 220, 16718, 3436, 11, 262, 3381, 20997, 318, 27102, 13, 198, 198, 36687, 286, 257, 12133, 198, 198, 2514, 4439, 257, 12133, 326, 460, 307, 973, 284, 15124, 11845, 812, 284, 19772, 420, 42084, 812, 11, 257, 8379, 286, 30835, 12, 8715, 8405, 318, 2622, 11, 543, 460, 307, 6789, 284, 5004, 511, 19772, 420, 42084, 2479, 13, 360, 437, 305, 11413, 1435, 11, 393, 262, 2050, 286, 5509, 13917, 11, 2957, 284, 262, 717, 884, 8379, 25, 5509, 13917, 422, 1981, 5207, 286, 4898, 905, 16704, 16311, 286, 13917, 326, 7565, 287, 20735, 2233, 284, 6142, 5087, 884, 355, 262, 2033, 286, 25807, 287, 257, 1813, 614, 13, 5845, 5087, 2689, 477, 7150, 287, 281, 1989, 290, 523, 17247, 5509, 12, 1806, 16311, 422, 1468, 4898, 3578, 262, 11795, 286, 32997, 16311, 13, 554, 326, 835, 11, 281, 49471, 8379, 286, 5509, 13917, 460, 307, 7083, 1290, 656, 262, 1613, 13, 383, 717, 884, 3199, 8379, 11, 1912, 319, 865, 12535, 49180, 20161, 5509, 13917, 11, 373, 2727, 287, 262, 9507, 82, 416, 28634, 15031, 13, 13071, 1778, 408, 973, 262, 1366, 284, 7715, 262, 717, 36537, 12133, 329, 19772, 420, 42084, 10691, 287, 15904, 13, 383, 12133, 3751, 734, 3858, 286, 12291, 422, 262, 3892, 1627, 25, 257, 890, 12, 4354, 19180, 2288, 351, 257, 2278, 286, 546, 860, 11, 830, 812, 11, 290, 257, 12238, 12, 4354, 12291, 11, 1690, 6412, 284, 355, 366, 86, 6950, 829, 1600, 351, 257, 2278, 286, 4647, 13, 1778, 408, 531, 326, 339, 9859, 262, 1627, 4478, 262, 266, 6950, 829, 416, 366, 6966, 9383, 5513, 86, 2150, 1600, 393, 1479, 4993, 13, 632, 373, 10061, 329, 617, 640, 1771, 262, 266, 6950, 829, 547, 1103, 393, 407, 11, 475, 484, 389, 783, 880, 12, 27718, 13, 198, 198, 464, 36537, 2446, 635, 18533, 326, 262, 21964, 12291, 287, 220, 1241, 318, 3298, 11, 884, 326, 257, 1402, 1271, 286, 8405, 422, 257, 2176, 614, 389, 6751, 329, 36537, 11, 543, 373, 6306, 453, 19000, 287, 262, 7169, 82, 13, 198, 198, 5886, 262, 1306, 1542, 812, 11, 867, 36537, 23759, 547, 3199, 416, 1262, 257, 4996, 286, 5050, 290, 13905, 10581, 13, 1119, 547, 22754, 15395, 416, 262, 3268, 4825, 1847, 2168, 286, 23759, 11, 3726, 351, 3268, 4825, 1847, 4089, 11, 3199, 287, 7795, 11, 290, 6153, 287, 5472, 11, 3717, 11, 2211, 290, 12131, 13, 383, 8561, 284, 777, 23759, 389, 1912, 319, 649, 1366, 9272, 422, 5509, 13917, 11, 1401 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 13851, 14044, 290, 11998, 286, 262, 2059, 286, 2986, 3981, 39588, 390, 20139, 411, 11, 6402, 683, 262, 4706, 286, 262, 13389, 286, 531, 12829, 290, 1568, 286, 262, 6403, 286, 543, 339, 373, 302, 2715, 422, 8235, 11, 1566, 339, 9167, 2666, 287, 4793, 284, 22265, 262, 2292, 286, 4139, 286, 7868, 13, 5856, 465, 17081, 11, 262, 1294, 7378, 2540, 281, 6884, 36011, 1430, 326, 468, 3142, 340, 284, 423, 3660, 23003, 10911, 351, 1181, 12, 1659, 12, 1169, 12, 433, 3037, 287, 477, 663, 2041, 4278, 13, 554, 5878, 11, 281, 19384, 850, 12, 785, 3411, 286, 262, 3162, 286, 262, 2066, 326, 15475, 262, 9687, 286, 48302, 287, 531, 6403, 11, 7151, 326, 484, 307, 16434, 284, 262, 4773, 13, 4619, 788, 11, 1478, 812, 423, 3804, 290, 36997, 11366, 22597, 4477, 284, 1085, 262, 2986, 3981, 39588, 2059, 11, 543, 287, 2321, 2098, 2472, 3739, 286, 311, 1220, 764, 36720, 1510, 13, 1550, 262, 584, 1021, 11, 739, 465, 5531, 11, 3230, 697, 42845, 7767, 547, 16862, 287, 477, 262, 6403, 338, 47126, 290, 4266, 11, 543, 468, 3142, 1467, 4708, 16179, 11, 3261, 4958, 338, 7370, 290, 718, 6253, 689, 4438, 416, 262, 6403, 284, 423, 3230, 697, 7470, 602, 379, 262, 3726, 286, 2321, 13, 679, 373, 302, 12, 28604, 329, 262, 2368, 640, 355, 302, 2715, 286, 531, 2156, 286, 3640, 287, 2813, 13, 29875, 25, 8235, 11, 5878, 11, 4793, 11, 290, 16537, 11, 2813, 13, 198, 198, 19927, 198, 198, 1129, 3365, 27244, 198, 36376, 661, 198, 7437, 22623, 28105, 10302, 7602, 198, 26405, 36647, 286, 25768, 198, 6690, 541, 2334, 286, 262, 8284, 286, 262, 3825, 286, 25768, 198, 5990, 50013, 7602, 286, 3999, 18598, 198, 21009, 286, 37118, 31333, 198, 8061, 422, 41578, 198, 37, 5702, 3713, 9757, 283, 5305, 2351, 2059, 31333, 198, 21009, 286, 2986, 3981, 39588, 390, 20139, 411, 12829, 44095, 271, 474, 4662, 1125, 89, 17266, 285, 35979, 220, 7499, 318, 257, 5337, 416, 21402, 1772, 50208, 775, 88, 6422, 504, 13, 632, 373, 717, 3199, 287, 5075, 290, 1839, 262, 23832, 35371, 22230, 11, 530, 286, 262, 749, 23566, 13304, 287, 4881, 13, 198, 198, 6214, 635, 198, 5075, 287, 9285, 198, 21402, 9285, 198, 198, 19927, 198, 198, 14315, 16122, 198, 12193, 18299, 16122, 198, 24111, 12, 16129, 16122, 198, 47, 8609, 35371, 22230, 5442, 2499, 5756, 8836, 33743, 3570, 21162, 357, 77, 22161, 5267, 533, 325, 26, 4642, 1105, 2932, 23234, 8, 318, 281, 8200, 2646, 14549, 13, 198, 198, 20457, 812, 198, 22834, 21162, 373, 4642, 3914, 528, 544, 5267, 533, 325, 287, 10598, 287, 23234, 13, 1375, 373, 262, 4957, 286, 3800, 14549, 35267, 7484, 30851, 8461, 290, 3159, 16002, 14, 15805, 2454, 11915, 399, 2879, 5267, 533, 325, 13, 198, 198, 51, 3413, 416, 9732, 669, 11, 7993, 2722, 262, 7548, 286, 281, 1605, 1029, 1524, 3707, 13, 1375, 318, 43472, 287, 1936, 8950, 13, 198, 198, 32454, 531, 326, 607, 3397, 1422, 470, 765, 607, 284, 307, 281, 14549, 11, 475, 706, 14820, 287, 8502, 11, 673, 2540, 11065, 7205, 739, 17581, 2185, 49861, 13, 1375, 9713, 351, 28442, 893, 35421, 417, 263, 284, 29889, 607, 18702, 13, 198, 198, 17784, 263, 220, 198, 198, 22834, 21162, 2067, 607, 2646, 3451, 351, 257, 1402, 636, 287, 262, 35169, 1763, 1636, 2646, 402, 13, 40, 13, 15261, 810, 673, 5341, 35903, 13, 3570, 21162, 550, 607, 717, 3756, 2597, 287, 262, 2646, 383, 7430, 5338, 509, 3605, 14190, 13111, 357, 45192, 828, 810, 673, 5341, 32561, 7802, 11, 257, 10715, 21366, 2415, 508, 5804, 673, 468, 13923, 257, 5123, 13, 2293, 14339, 262, 2646, 11, 3570, 21162, 1816, 284, 4486, 810, 673, 925, 1811, 7328, 1390, 1887, 23975, 338, 376, 7737, 3327, 13, 198, 198, 18602, 812, 198, 22834, 21162, 9880, 422, 7205, 706, 1972, 6405, 287, 19322, 284, 5613, 9953, 402, 695, 274, 11, 416, 4150, 673, 550, 530, 1200, 13, 4784, 284, 8674, 1757, 29242, 261, 11, 3570, 21162, 1568, 3111, 287, 262, 1103, 7964, 1597, 287, 5401, 5652, 11589, 13, 198, 198, 4653, 12609, 2646, 4867, 198, 220, 198, 402, 13, 40, 13, 15261, 357, 38503, 8, 198, 20169, 286, 28467, 30302, 357, 1129, 5333, 8, 198, 3561, 286, 262, 13723, 13048, 357, 1129, 5333, 8, 198, 20260, 286, 262, 2619, 406, 20811, 357, 1129, 5237, 8, 198, 26345, 3754, 12693, 378, 357, 1129, 5237, 8, 198, 383, 7430, 5338, 509, 3605, 14190, 13111, 357, 45192, 8, 198, 376, 7737, 3327, 357, 46477, 8, 198, 1526, 563, 2185, 11, 19305, 494, 357, 46477, 8, 198, 220, 357, 45271, 8, 198, 383, 25066, 3653, 357, 45271, 8, 198, 5338, 370, 1187, 284, 17376, 30, 357, 45271, 8, 198, 1649, 262, 48315, 85, 1127, 11891, 319, 262, 6035, 3266, 357, 45271, 8, 198, 5706, 10889, 4993, 357, 45271, 8, 198, 3334, 7369, 329, 1338, 444, 357, 44227, 8, 198, 376, 8498, 404, 25, 4689, 25143, 344, 37106, 357, 44227, 8, 198, 383, 23688, 287, 262, 3469, 10983, 357, 42830, 8, 198, 20291, 844, 25, 6889, 632, 4525, 632, 7236, 18321, 2945, 532, 3195, 4471, 357, 42830, 8, 198, 383, 4403, 6916, 357, 42830, 8, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 198, 1129, 3901, 27244, 198, 45696, 2646, 49798, 198, 6398, 16746, 422, 10598, 198, 36376, 661, 198, 1238, 400, 12, 14792, 8200, 49798, 14155, 305, 2395, 829, 2037, 271, 318, 257, 4693, 286, 285, 578, 287, 262, 1641, 42755, 29232, 31718, 13, 198, 198, 19927, 198, 198, 272, 27315, 198, 8001, 2983, 2727, 416, 1195, 25456, 13645, 198, 35320, 874, 3417, 287, 12122, 464, 3050, 2159, 14331, 30510, 24782, 547, 2714, 379, 3738, 3400, 64, 32330, 3337, 287, 3738, 3400, 64, 11, 7137, 13, 383, 1785, 1718, 1295, 422, 2693, 1596, 284, 2693, 2608, 11, 3050, 13, 198, 198, 9921, 282, 10638, 198, 198, 10418, 198, 198, 18495, 198, 198, 9921, 282, 3084, 220, 198, 49, 15230, 416, 4403, 357, 14957, 1255, 8, 28057, 220, 198, 198, 49, 15230, 416, 477, 28057, 25, 4403, 357, 14957, 1255, 8, 290, 10452, 357, 16501, 963, 290, 5985, 1222, 4230, 74, 8, 198, 198, 15592, 12759, 198, 198, 10418, 198 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 481, 307, 3734, 837, 475, 673, 82, 262, 530, 34228, 502, 764, 72, 1807, 1312, 373, 1016, 284, 4425, 345, 837, 1312, 374, 5126, 764, 72, 1254, 607, 2456, 319, 616, 4168, 764, 24130, 454, 837, 545, 534, 6621, 764, 5832, 28329, 4425, 502, 764, 12518, 1312, 17666, 10971, 837, 673, 1139, 837, 340, 67, 1011, 881, 517, 621, 326, 284, 1494, 502, 837, 345, 760, 5633, 320, 3599, 284, 18996, 326, 764, 5661, 318, 616, 6621, 837, 262, 530, 1312, 2993, 837, 508, 19951, 329, 661, 290, 561, 1037, 2687, 287, 761, 837, 475, 428, 318, 635, 262, 256, 544, 326, 11687, 625, 262, 13990, 379, 5373, 1110, 290, 656, 1667, 81, 1040, 5101, 764, 5661, 318, 262, 256, 544, 326, 925, 257, 649, 1204, 329, 5223, 764, 72, 1244, 423, 3750, 656, 262, 1479, 8604, 837, 475, 673, 318, 523, 881, 8290, 332, 621, 502, 290, 1312, 460, 1254, 340, 783, 764, 72, 460, 1254, 340, 355, 616, 2832, 2613, 2405, 656, 33053, 286, 607, 15224, 290, 1312, 460, 1254, 340, 287, 256, 4448, 10296, 1021, 319, 616, 4190, 764, 270, 46701, 938, 890, 837, 262, 16225, 837, 475, 340, 1724, 523, 881, 764, 83, 544, 468, 7334, 837, 468, 5615, 837, 468, 3421, 764, 392, 3863, 1312, 423, 1165, 475, 1312, 387, 1151, 3421, 1576, 1662, 329, 428, 649, 1204, 837, 407, 1865, 764, 361, 2687, 373, 4642, 656, 262, 21540, 837, 663, 3076, 265, 544, 764, 72, 9245, 607, 12505, 290, 1309, 607, 467, 764, 732, 2513, 1735, 416, 1735, 656, 262, 1306, 2119, 1169, 1630, 2119, 392, 1312, 1254, 379, 4167, 351, 2279, 764, 76, 3258, 259, 373, 826, 546, 262, 2119, 852, 319, 428, 4314, 764, 76, 3258, 259, 373, 826, 546, 257, 1256, 286, 1243, 2162, 326, 1807, 1838, 502, 34644, 764, 72, 991, 892, 10818, 2712, 514, 290, 10818, 1016, 284, 1210, 379, 262, 938, 5664, 837, 475, 783, 1312, 2911, 10818, 407, 764, 1169, 2828, 326, 1302, 1871, 514, 837, 14428, 88, 6688, 837, 389, 511, 7681, 764, 72, 4240, 611, 673, 20915, 511, 6698, 393, 611, 612, 373, 257, 7104, 1051, 326, 262, 1334, 286, 514, 6825, 764, 270, 1838, 502, 1808, 262, 1743, 1312, 2923, 837, 475, 43630, 258, 373, 1016, 329, 3076, 265, 544, 764, 23108, 286, 262, 21688, 7681, 7482, 284, 5938, 514, 764, 259, 262, 1630, 2119, 389, 1115, 2828, 475, 645, 10942, 764, 1169, 1290, 3355, 286, 262, 2119, 318, 7104, 2157, 3644, 8947, 588, 262, 3392, 326, 1627, 262, 24350, 286, 262, 32769, 2779, 764, 8117, 389, 1115, 5621, 286, 6973, 837, 617, 588, 262, 10349, 3096, 2641, 262, 5186, 3091, 1474, 262, 4865, 35771, 290, 617, 588, 262, 10586, 286, 288, 38182, 945, 3644, 736, 1363, 764, 11246, 1312, 17666, 772, 760, 644, 284, 869, 400, 19983, 286, 12163, 290, 45971, 290, 18225, 290, 7588, 290, 3215, 14354, 764, 259, 262, 640, 340, 2753, 262, 32769, 290, 1667, 12769, 284, 787, 262, 2828, 14917, 1312, 991, 387, 1151, 5201, 16143, 379, 477, 286, 262, 6973, 764, 1671, 272, 837, 13970, 502, 837, 318, 3375, 287, 17503, 837, 3253, 276, 374, 4131, 829, 764, 72, 9814, 465, 8163, 284, 651, 683, 284, 2245, 3375, 764, 22437, 429, 670, 764, 258, 7625, 274, 837, 285, 14739, 837, 1312, 1312, 460, 407, 14441, 616, 1182, 1088, 340, 764, 27218, 4410, 9061, 837, 1312, 5127, 764, 9930, 260, 25023, 764, 258, 13015, 1088, 262, 18791, 286, 14917, 2828, 351, 257, 3094, 45320, 837, 13717, 5408, 764, 14363, 2832, 389, 503, 287, 2166, 286, 683, 837, 8978, 329, 257, 17124, 837, 475, 1667, 12769, 9785, 395, 25386, 257, 21688, 290, 2753, 1745, 286, 465, 12450, 764, 9930, 260, 4923, 837, 339, 1139, 284, 865, 272, 837, 407, 555, 11031, 306, 764, 361, 345, 1803, 262, 2642, 4936, 262, 2187, 3240, 714, 6611, 510, 764, 1671, 272, 29959, 2241, 503, 286, 340, 764, 320, 7926, 764, 72, 750, 407, 1612, 284, 1312, 373, 11263, 703, 428, 2187, 1517, 5499, 764, 4919, 857, 340, 2163, 3446, 5633, 258, 3073, 379, 1667, 12769, 351, 2951, 326, 389, 43347, 351, 20136, 290, 17131, 764, 5562, 46701, 2300, 783, 837, 1667, 12769, 1139, 764, 72, 892, 1312, 766, 30184, 287, 465, 2951, 475, 465, 1986, 318, 523, 26370, 326, 1312, 18548, 1560, 611, 663, 8768, 764, 10919, 6067, 318, 502, 12225, 262, 14022, 29294, 7530, 764, 258, 17555, 865, 272, 284, 262, 3504, 286, 262, 9519, 8635, 306, 1497, 422, 262, 9061, 392, 20070, 262, 1743, 287, 262, 3504, 5118, 4291, 262, 4314, 764, 4480, 257, 1970, 1417, 3356, 837, 339, 8632, 2241, 287, 2166, 286, 262, 6973, 290, 33841, 465, 2832, 656, 257, 5166, 286, 14239, 18051, 764, 489, 3477, 29552, 11495, 1088, 465, 15980, 290, 1312, 4391, 379, 262, 4802, 3356, 764, 76, 3258, 259, 46701, 6324, 764, 258, 2753, 257, 2769, 8033, 837, 788, 14170, 257, 2168, 286, 3146, 656, 262, 3644, 764, 1169, 8947, 21019, 1752, 290, 6070, 262, 2119, 351, 257, 10457, 4171, 1657, 764, 17899, 265, 544, 1278, 1460, 1613, 502, 284, 1302, 2157, 1667, 81, 1040, 5118, 764, 7091, 24013, 607, 1021, 319, 465, 8163, 290, 339, 21845, 764, 896, 46701, 938, 257, 1218, 475, 340, 373, 612, 764, 83, 544, 46701, 655, 1842, 683, 837, 1312, 892, 2162, 673, 1838, 683, 3772, 764, 72, 761, 284, 2245, 24430, 640, 2111, 284, 1833, 606, 764, 9930, 655, 389, 764, 76, 3258, 259, 3858, 1194, 4731, 286, 3146, 290, 1194, 1566, 530, 286, 262, 8947, 2925, 2042, 764, 261, 262, 2042, 4469, 318, 257, 474, 10344, 286, 7475, 290, 3146, 326, 1667, 12769, 3640, 7173, 764, 22474, 477, 4964, 284, 766, 644, 339, 857, 764, 258, 19680, 82, 33440, 306, 290, 465, 9353, 9814, 1497, 379, 262, 10586, 764, 9930, 760, 547, 994, 837, 339, 1139, 837, 290, 484, 303, 1908, 1194, 13179, 286, 2828, 764, 9930, 297, 307, 994, 287, 17280, 2431, 764, 568, 307, 2068, 837, 14428, 88, 1139, 764, 7091, 4962, 607, 736, 284, 514, 290, 10942, 262, 3420, 764, 1169, 584, 32769, 466, 262, 976, 764, 10919, 466, 345, 892, 545, 1804, 5633, 76, 3258, 259, 4517, 1010, 355, 734, 584, 8947, 1487, 764, 403, 2339, 262 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 649, 290, 13899, 835, 764, 1169, 2272, 1088, 514, 28959, 515, 837, 290, 329, 257, 7650, 2589, 1312, 1107, 8288, 616, 1767, 2162, 428, 4890, 12, 622, 1389, 1517, 1312, 705, 67, 3377, 812, 25046, 1088, 6451, 3947, 2861, 262, 6531, 837, 2861, 262, 7721, 21103, 290, 262, 8301, 66, 3951, 290, 262, 2906, 292, 5321, 20734, 29355, 286, 262, 31155, 764, 15506, 340, 373, 2407, 257, 1180, 281, 710, 1312, 550, 1900, 355, 616, 4957, 764, 7091, 1239, 1107, 3751, 428, 1611, 286, 8434, 4203, 837, 10148, 267, 33955, 14346, 3767, 764, 1169, 9245, 15436, 8097, 355, 267, 33955, 14346, 4030, 3375, 422, 2157, 502, 764, 15506, 290, 616, 7664, 318, 837, 10148, 339, 531, 837, 7559, 1201, 1312, 550, 587, 287, 845, 922, 2846, 351, 281, 710, 837, 326, 749, 3397, 466, 299, 470, 760, 1107, 511, 1751, 764, 10148, 72, 6939, 326, 616, 2951, 547, 4838, 290, 4721, 606, 764, 7493, 436, 385, 373, 16143, 379, 502, 837, 465, 4171, 2951, 5699, 284, 502, 621, 484, 705, 67, 1683, 587, 837, 290, 2157, 683, 837, 257, 4315, 286, 661, 1115, 2769, 550, 3297, 286, 48149, 1088, 514, 764, 9930, 547, 7954, 837, 1312, 1807, 764, 17899, 41301, 764, 27218, 17366, 837, 351, 511, 21311, 837, 1642, 503, 11061, 257, 2008, 22978, 262, 23273, 3809, 286, 257, 1966, 2988, 764, 72, 5954, 1497, 422, 16339, 436, 385, 837, 290, 339, 3013, 1347, 257, 613, 694, 4291, 616, 22645, 355, 1312, 18484, 866, 379, 616, 20539, 256, 323, 75, 669, 764, 392, 788, 484, 2067, 537, 5912, 764, 439, 262, 661, 837, 477, 777, 6490, 837, 655, 2067, 537, 5912, 837, 290, 530, 17293, 7559, 49025, 78, 5145, 10148, 259, 257, 11063, 431, 272, 18702, 764, 7493, 436, 385, 837, 16755, 837, 35737, 764, 44944, 278, 837, 1312, 1090, 912, 798, 1683, 523, 4622, 837, 543, 373, 1138, 351, 1194, 2835, 286, 28445, 764, 732, 925, 674, 835, 34624, 837, 9616, 477, 262, 6490, 467, 866, 717, 837, 290, 826, 878, 356, 1392, 284, 262, 26725, 357, 810, 18259, 306, 281, 20932, 1718, 514, 736, 866, 284, 2323, 1241, 290, 262, 6979, 6128, 1267, 356, 2497, 5468, 286, 281, 710, 705, 82, 26339, 837, 290, 635, 607, 42686, 1492, 286, 50056, 764, 1169, 9577, 1492, 3022, 284, 307, 2900, 284, 257, 2443, 286, 427, 20946, 50056, 764, 1640, 508, 523, 4081, 326, 460, 407, 307, 10081, 19513, 5633, 7091, 705, 67, 3194, 764, 75, 312, 413, 2926, 10357, 514, 736, 284, 262, 1226, 28213, 1659, 764, 43435, 262, 7541, 837, 340, 373, 1454, 3019, 1359, 290, 16339, 436, 385, 290, 1312, 6204, 319, 262, 17214, 24058, 6364, 1972, 9583, 764, 7493, 436, 385, 1058, 7559, 345, 2192, 761, 617, 1334, 764, 10148, 1326, 1058, 7559, 1312, 705, 76, 8788, 764, 10148, 7493, 436, 385, 1058, 7559, 8788, 764, 10148, 7, 14985, 764, 1267, 15506, 644, 389, 345, 3612, 546, 5633, 10148, 1326, 1058, 7559, 345, 764, 10148, 7493, 436, 385, 1058, 7559, 644, 546, 502, 5633, 10148, 1326, 1058, 7559, 705, 72, 466, 407, 760, 543, 284, 4702, 837, 1220, 262, 8737, 286, 1167, 26448, 1220, 393, 262, 8737, 286, 3527, 84, 437, 418, 837, 1220, 262, 2042, 16944, 32262, 1359, 1220, 393, 655, 706, 764, 705, 10148, 7493, 436, 385, 1058, 7559, 5770, 837, 345, 389, 17144, 764, 10148, 1326, 1058, 7559, 356, 714, 467, 284, 534, 2119, 764, 10148, 7493, 436, 385, 1058, 7559, 1312, 705, 303, 2982, 4785, 4213, 764, 10148, 732, 29650, 656, 262, 7009, 20932, 1978, 764, 16833, 4417, 837, 1390, 262, 4314, 837, 373, 40070, 764, 732, 550, 284, 2834, 262, 3420, 284, 4423, 6731, 287, 290, 788, 262, 1468, 1517, 1126, 4335, 6364, 510, 284, 262, 1218, 4314, 764, 72, 373, 10032, 290, 47599, 290, 7960, 326, 1312, 4143, 3114, 290, 37609, 10319, 837, 475, 772, 523, 1312, 27946, 683, 287, 326, 20932, 837, 290, 788, 339, 5954, 1497, 290, 6235, 379, 262, 10162, 290, 531, 837, 7559, 804, 837, 15541, 11595, 1424, 764, 10148, 15506, 617, 1167, 259, 871, 389, 4025, 621, 584, 1167, 259, 871, 837, 10148, 1312, 3197, 992, 837, 17007, 7958, 5719, 289, 448, 268, 764, 15506, 644, 281, 840, 565, 593, 837, 10148, 16339, 436, 385, 531, 837, 290, 340, 1718, 477, 326, 640, 290, 517, 655, 284, 651, 514, 284, 262, 1218, 4314, 764, 69, 3289, 262, 20932, 20605, 1740, 284, 257, 17369, 837, 290, 339, 7121, 262, 40070, 3420, 1280, 764, 12518, 340, 373, 2063, 1280, 837, 339, 1592, 771, 287, 2356, 290, 2626, 465, 11762, 319, 262, 3420, 329, 257, 1218, 764, 15506, 345, 8788, 5633, 10148, 72, 1965, 764, 8499, 257, 1218, 837, 339, 531, 837, 7559, 10194, 837, 10194, 837, 3420, 705, 82, 655, 4334, 837, 1312, 4724, 764, 10148, 258, 7121, 757, 290, 1392, 340, 1280, 764, 258, 1309, 502, 2513, 503, 717, 837, 286, 1781, 837, 475, 788, 1312, 750, 299, 470, 760, 543, 4571, 284, 2513, 866, 262, 23959, 837, 290, 523, 1312, 655, 6204, 612, 2354, 262, 20932, 290, 339, 6204, 612, 837, 1165, 837, 465, 1986, 991, 542, 9741, 837, 290, 1312, 531, 757, 837, 7559, 8788, 5633, 10148, 15506, 655, 503, 286, 5485, 837, 11595, 417, 11542, 764, 439, 318, 880, 764, 10148, 732, 547, 655, 5055, 612, 287, 262, 23959, 837, 290, 339, 373, 299, 470, 3756, 262, 835, 284, 465, 2119, 393, 1997, 837, 290, 1312, 750, 299, 470, 760, 810, 465, 2119, 373, 837, 290, 355, 262, 29049, 47686, 3767, 837, 1312, 2627, 9431, 339, 373, 2111, 284, 3785, 503, 257, 835, 407, 284, 8011, 510, 351, 502, 837, 326, 1312, 1239, 815, 423, 5220, 262, 2126, 287, 262, 717, 1295, 837, 326, 340, 373, 9642, 4597, 2339, 290, 4361, 550, 36943, 16339, 436, 385, 10150, 837, 508, 373, 5055, 612, 2045, 379, 502, 555, 2436, 8040, 837, 2111, 284, 892, 286, 257, 835, 284, 1070, 1173, 378, 2241, 422, 262, 3074, 34313, 764, 392, 788, 837, 706, 8097, 837, 339, 531, 837, 7559, 340, 705, 82, 2029, 616, 10329, 290, 340, 655, 256, 5656, 257, 1310, 290, 788, 340, 705, 82, 655, 4168, 764, 8117, 705, 82, 257, 17166, 10153, 837, 475, 340, 655, 3073, 588 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 15506, 484, 705, 260, 1016, 284, 307, 1049, 1037, 351, 1972, 262, 2156, 5201, 837, 10148, 1312, 531, 7773, 837, 618, 340, 2627, 4156, 11277, 259, 373, 299, 470, 1016, 284, 13904, 597, 517, 532, 588, 837, 508, 547, 777, 661, 5633, 3003, 550, 484, 1282, 422, 837, 290, 644, 550, 484, 587, 1804, 612, 5633, 22850, 547, 484, 4684, 284, 307, 287, 1099, 918, 66, 18483, 837, 1804, 644, 484, 547, 1804, 994, 5633, 15506, 340, 705, 82, 257, 8259, 6970, 484, 705, 260, 612, 764, 10148, 15506, 1049, 837, 12498, 764, 72, 2227, 345, 284, 651, 617, 5897, 640, 878, 262, 10614, 764, 5562, 2156, 373, 2491, 345, 374, 14655, 764, 10148, 81, 14655, 5633, 72, 2936, 262, 14960, 284, 1461, 287, 262, 16936, 1466, 705, 82, 2119, 290, 24170, 656, 262, 10162, 837, 6451, 22144, 1312, 705, 67, 766, 37593, 705, 82, 3625, 290, 12768, 4190, 764, 27237, 453, 1312, 716, 407, 34813, 306, 2116, 12, 16796, 546, 616, 5585, 837, 475, 262, 43500, 654, 329, 262, 10614, 6576, 290, 262, 34297, 625, 8242, 287, 2276, 329, 262, 1613, 3155, 286, 1933, 550, 925, 502, 845, 3910, 286, 703, 1312, 3114, 764, 15506, 484, 1718, 4710, 837, 10148, 1312, 1297, 11277, 259, 2352, 1473, 764, 15506, 1312, 892, 484, 705, 297, 466, 257, 1049, 1693, 764, 10148, 15506, 1312, 765, 345, 284, 307, 3772, 837, 10148, 339, 531, 764, 15506, 1312, 716, 837, 10148, 1312, 1297, 683, 837, 6655, 764, 15506, 1312, 705, 303, 1239, 587, 23030, 287, 616, 1204, 764, 10148, 8524, 356, 547, 379, 262, 3420, 284, 257, 549, 4364, 705, 82, 2607, 837, 290, 356, 5399, 2832, 290, 1816, 287, 764, 454, 938, 6246, 878, 262, 10614, 837, 290, 257, 549, 4364, 373, 299, 470, 1016, 284, 787, 340, 2562, 764, 258, 1965, 1327, 2683, 290, 2938, 5508, 7429, 764, 732, 550, 3750, 625, 644, 356, 2938, 422, 1123, 584, 18786, 837, 17991, 837, 290, 287, 262, 2300, 286, 5737, 764, 392, 356, 550, 6619, 757, 546, 1719, 1751, 837, 351, 1111, 286, 514, 5906, 284, 5409, 764, 25991, 29077, 1166, 373, 299, 470, 922, 837, 475, 340, 373, 1365, 621, 4769, 12330, 5009, 764, 3506, 5633, 1169, 21951, 10991, 550, 4721, 410, 37503, 286, 42292, 1312, 705, 67, 1239, 15758, 837, 262, 1310, 290, 1263, 16895, 290, 5370, 286, 7373, 1204, 351, 1194, 4044, 1692, 852, 764, 270, 373, 262, 7559, 1762, 10148, 4843, 286, 4845, 1312, 705, 67, 7599, 6825, 618, 616, 2460, 6619, 546, 511, 6405, 3160, 764, 13822, 259, 837, 508, 373, 517, 5924, 416, 1738, 286, 465, 2180, 4845, 837, 550, 4750, 269, 521, 88, 287, 262, 1781, 286, 262, 10991, 517, 621, 1312, 705, 67, 1683, 2982, 683, 3068, 607, 878, 764, 16480, 1201, 1312, 705, 67, 1138, 269, 521, 88, 837, 1312, 16399, 7773, 764, 392, 428, 6180, 837, 257, 549, 4364, 1965, 11277, 259, 262, 1263, 1808, 764, 15506, 11277, 259, 837, 356, 705, 303, 17298, 837, 8752, 837, 319, 534, 2776, 351, 686, 68, 837, 1201, 345, 705, 260, 1016, 284, 307, 6405, 764, 4360, 1312, 14028, 611, 345, 2227, 284, 2648, 534, 7666, 546, 1521, 534, 2180, 4845, 750, 299, 470, 670, 503, 764, 14150, 356, 5017, 1997, 287, 777, 37119, 1978, 326, 28077, 597, 30987, 5633, 10148, 13822, 259, 3114, 22677, 764, 14363, 14005, 7586, 2951, 5670, 319, 262, 3355, 2029, 257, 549, 4364, 705, 82, 3223, 1182, 837, 465, 2832, 37222, 2945, 262, 29654, 286, 465, 9839, 764, 15506, 3763, 837, 10148, 339, 531, 12703, 837, 706, 257, 1178, 4201, 764, 15506, 612, 547, 617, 1243, 356, 1239, 6619, 546, 837, 1593, 1243, 764, 11246, 1243, 1312, 8288, 284, 1394, 284, 3589, 764, 72, 466, 299, 470, 588, 284, 892, 546, 262, 2415, 1312, 1842, 18916, 546, 606, 764, 10148, 1820, 2951, 36405, 764, 1820, 5422, 4721, 764, 64, 549, 4364, 14682, 465, 1182, 837, 845, 4622, 764, 72, 6352, 1384, 837, 475, 17203, 6819, 764, 72, 561, 5490, 611, 1312, 12270, 880, 7690, 284, 2162, 1312, 20143, 262, 3572, 764, 15506, 475, 837, 10148, 11277, 259, 3767, 837, 7559, 326, 373, 299, 470, 262, 835, 262, 4845, 714, 7866, 764, 66, 521, 88, 4444, 510, 407, 33914, 502, 546, 1997, 764, 7091, 1392, 6507, 1082, 290, 517, 12899, 764, 265, 262, 640, 837, 1312, 2936, 326, 611, 673, 550, 1576, 4562, 287, 502, 837, 2279, 561, 307, 8788, 837, 290, 1312, 373, 20315, 913, 326, 673, 750, 299, 470, 423, 326, 4562, 764, 10148, 15506, 475, 783, 5633, 10148, 64, 549, 4364, 12053, 764, 15506, 1312, 373, 299, 470, 852, 3148, 284, 607, 837, 10148, 11277, 259, 531, 6228, 306, 764, 15506, 319, 262, 584, 1021, 837, 673, 2540, 284, 466, 1243, 326, 547, 10488, 284, 4461, 616, 3241, 2644, 44109, 351, 584, 1450, 837, 651, 2950, 351, 5640, 673, 550, 845, 1310, 2081, 4203, 329, 2644, 10148, 7559, 290, 345, 750, 299, 470, 10996, 777, 7666, 284, 1123, 584, 5633, 10148, 15506, 340, 373, 588, 356, 714, 299, 470, 764, 732, 705, 67, 587, 3375, 523, 890, 546, 1243, 588, 2318, 11489, 705, 82, 19051, 837, 644, 640, 356, 550, 284, 307, 379, 262, 279, 8326, 3249, 837, 1771, 356, 815, 2721, 257, 27562, 1754, 1080, 837, 326, 356, 714, 299, 470, 1561, 546, 1593, 1243, 845, 6840, 764, 454, 9017, 561, 27776, 764, 10148, 15506, 290, 783, 837, 287, 534, 4845, 284, 45714, 5799, 5633, 10148, 15506, 1312, 705, 297, 1949, 764, 10148, 258, 27846, 3812, 502, 3443, 837, 8453, 16877, 764, 15506, 686, 68, 837, 1312, 705, 297, 1949, 284, 1561, 284, 345, 546, 262, 749, 1593, 1243, 764, 4360, 340, 24486, 299, 470, 307, 2562, 764, 10148, 292, 356, 547, 4305, 837, 257, 549, 4364, 531, 837, 7559, 1312, 2048, 16453, 837, 686, 68, 764, 72, 373, 10013, 257, 1178, 1866, 286, 262, 28862, 508, 2107, 287, 613, 19725, 631, 24638, 19592, 7415, 764, 732, 547, 287, 326, 1263, 2219, 2119, 287, 262, 3504, 837, 290, 281, 4697, 10846, 1625, 510, 284, 502, 290, 1965, 611, 1312, 373, 262, 5342, 508, 373, 1016, 284, 3189, 262, 10542, 329, 534, 10614, 764, 10148, 15506, 508, 373, 673, 5633, 10148, 15506, 257, 285 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 383, 12505, 338, 1388, 26462, 318, 406, 9116, 28831, 8800, 11, 530, 286, 262, 18087, 9543, 419, 874, 13, 1081, 406, 9116, 318, 531, 284, 14046, 287, 262, 8372, 34941, 286, 262, 32271, 2184, 11, 262, 12505, 6529, 355, 257, 31855, 10609, 3812, 262, 5366, 357, 162, 234, 229, 39355, 245, 11, 1976, 71, 128, 255, 77, 21162, 1776, 12891, 262, 1438, 13, 198, 198, 29064, 198, 16979, 934, 46623, 6622, 326, 39183, 11886, 508, 3187, 262, 12505, 1978, 481, 2270, 510, 13, 1881, 7468, 318, 326, 406, 9116, 28831, 8800, 11, 5863, 329, 465, 32120, 396, 3206, 30721, 11, 460, 307, 14789, 2402, 284, 10081, 7234, 597, 39183, 2415, 357, 19892, 6300, 11986, 326, 673, 1276, 307, 257, 21772, 737, 6023, 318, 326, 1201, 406, 9116, 28831, 8800, 338, 1842, 329, 32888, 14381, 679, 1816, 34001, 11, 339, 318, 19354, 286, 20175, 13, 198, 198, 57, 20079, 272, 10857, 318, 5863, 329, 663, 18761, 1014, 286, 366, 12825, 1, 4831, 13, 357, 1212, 318, 284, 262, 34071, 46732, 41598, 290, 262, 48256, 328, 506, 29981, 26, 262, 8946, 286, 262, 40958, 17859, 32939, 4433, 257, 2252, 5867, 4831, 2014, 12168, 1323, 11926, 635, 4691, 262, 12505, 11, 2592, 1400, 13, 40585, 422, 10511, 259, 272, 5869, 5834, 13, 8798, 416, 7862, 1097, 373, 1695, 1022, 4343, 290, 3648, 11, 373, 788, 9951, 2233, 284, 29337, 12, 5363, 13204, 2761, 11, 290, 468, 1201, 587, 15032, 13, 198, 198, 32517, 198, 198, 464, 13325, 636, 286, 262, 12505, 318, 262, 40958, 17859, 32939, 11, 12006, 287, 31982, 13, 35249, 1625, 422, 3869, 18295, 1762, 287, 449, 1040, 7637, 13, 770, 29981, 7777, 257, 15207, 286, 406, 9116, 28831, 8800, 11, 9119, 286, 262, 40958, 17859, 357, 163, 112, 242, 165, 50159, 11, 366, 49548, 10998, 4943, 15951, 286, 2264, 35410, 831, 5855, 20988, 16374, 295, 4943, 32120, 1042, 13, 383, 1944, 15207, 373, 257, 6244, 6979, 422, 10511, 259, 272, 338, 366, 11195, 12505, 553, 40633, 293, 10857, 287, 14866, 29992, 8473, 13, 220, 198, 198, 37, 4092, 262, 40958, 17859, 32939, 11, 284, 262, 1364, 318, 262, 25116, 87, 13481, 32939, 357, 18780, 19342, 1906, 44227, 737, 383, 1388, 43844, 389, 262, 23386, 10851, 357, 261, 262, 1353, 4314, 8, 290, 262, 7683, 17129, 32606, 357, 261, 262, 2323, 4314, 737, 10383, 777, 743, 307, 1043, 262, 32579, 290, 9730, 286, 262, 2807, 32120, 1042, 5136, 357, 57, 71, 19757, 6413, 360, 5488, 73, 13481, 47298, 88, 7258, 828, 257, 2264, 35410, 831, 5026, 3219, 21787, 357, 403, 26243, 1143, 8, 734, 12, 1941, 23715, 290, 8779, 7370, 287, 32120, 1042, 13, 198, 198, 2514, 262, 826, 286, 262, 40958, 17859, 32939, 318, 262, 20838, 12, 26966, 360, 897, 295, 70, 32939, 220, 357, 18780, 15674, 737, 317, 2042, 15207, 286, 13231, 88, 321, 35657, 19154, 373, 262, 6979, 286, 257, 18933, 2422, 3818, 508, 11, 981, 38702, 284, 14119, 11, 19982, 284, 16565, 884, 257, 15207, 287, 262, 1785, 326, 339, 4504, 284, 1176, 13, 198, 198, 34163, 262, 25116, 87, 13481, 32939, 318, 262, 881, 4833, 360, 4891, 782, 32939, 11, 7256, 284, 7326, 84, 28599, 13, 198, 198, 8291, 10189, 198, 464, 12505, 318, 9857, 2884, 10511, 259, 272, 10857, 9327, 286, 6669, 482, 506, 402, 623, 5708, 13, 198, 198, 6214, 635, 198, 32120, 1042, 1222, 7683, 19564, 198, 9801, 4914, 39337, 1477, 272, 10857, 11, 33242, 33061, 5665, 198, 9801, 4914, 1195, 654, 71, 9019, 10857, 11, 33242, 33061, 5665, 198, 37685, 5832, 10857, 11, 10940, 1477, 272, 5665, 198, 12348, 506, 67, 506, 347, 5488, 272, 10857, 11, 16092, 506, 5665, 198, 1395, 278, 83, 666, 10857, 11, 10511, 506, 1477, 272, 5665, 198, 1962, 392, 84, 10857, 11, 1355, 270, 280, 5665, 198, 7343, 286, 27081, 287, 14119, 198, 7343, 286, 18473, 29156, 287, 14119, 198, 198, 41506, 6117, 220, 628, 15934, 2524, 357, 16680, 34900, 8, 198, 220, 357, 259, 3594, 8, 198, 220, 357, 259, 3594, 8, 198, 2807, 32120, 1042, 5136, 357, 259, 3999, 8, 198, 198, 1507, 6469, 33228, 287, 2807, 198, 6892, 10956, 6832, 290, 8573, 5668, 287, 1248, 6469, 198, 51, 5488, 396, 27081, 287, 11144, 33265, 35, 4449, 403, 318, 257, 266, 1850, 64, 287, 30886, 17718, 11, 31592, 13, 2142, 286, 262, 399, 519, 672, 13035, 11, 360, 4449, 403, 318, 275, 24071, 319, 262, 5366, 416, 262, 402, 1098, 13035, 11, 319, 262, 7421, 416, 262, 1375, 6667, 293, 5866, 543, 31555, 340, 422, 4849, 993, 324, 11, 319, 262, 24821, 416, 367, 2382, 78, 11, 319, 262, 24287, 416, 1001, 469, 70, 11, 290, 319, 262, 7627, 416, 13573, 2127, 13, 383, 1688, 3240, 287, 360, 4449, 403, 318, 2269, 411, 1636, 13, 198, 198, 464, 2811, 22910, 287, 428, 266, 1850, 64, 318, 1088, 807, 3270, 10700, 2029, 5417, 1241, 13, 198, 11, 360, 4449, 403, 468, 6159, 477, 12, 23563, 34375, 9725, 4249, 2055, 9725, 26, 1088, 860, 13, 1157, 4, 286, 262, 2472, 3265, 468, 1895, 284, 7722, 1660, 13, 198, 198, 11522, 24188, 220, 628, 13403, 319, 262, 4343, 20962, 5952, 416, 262, 5694, 34931, 7732, 286, 31592, 11, 428, 266, 1850, 64, 468, 257, 2472, 3265, 286, 8646, 11, 2919, 17, 11, 286, 4150, 12713, 11, 21288, 389, 1450, 290, 1802, 11, 39761, 1466, 13, 2893, 27795, 11, 14198, 393, 807, 13, 5705, 4, 389, 7876, 17622, 11, 257, 2252, 4101, 11, 23601, 393, 5214, 13, 1731, 4, 389, 45950, 1023, 13, 7388, 13, 1433, 4, 286, 262, 3265, 531, 484, 547, 3765, 13, 770, 266, 1850, 64, 318, 7525, 30671, 416, 262, 7491, 375, 19065, 286, 262, 30886, 661, 13, 383, 266, 263, 4763, 318, 8384, 13354, 416, 25686, 40780, 850, 565, 504, 286, 5436, 2434, 311, 3266, 263, 11, 2592, 797, 263, 15976, 67, 8270, 588, 797, 263, 1703, 64, 17072, 11, 16480, 11223, 8607, 283, 220, 383, 749, 1593, 3288, 3895, 389, 1195, 283, 380, 12585, 80, 375, 12269, 543, 389, 257, 845, 890, 6333, 286, 12269, 13, 617, 286, 262, 21819, 18180, 287, 262, 1989, 389, 311, 37687, 1531, 11, 17552, 9189, 312, 11, 18350, 283, 323, 325, 11, 290, 327, 385, 6893, 323, 13, 554, 3090 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 401, 3409, 6893, 272, 16175, 78, 7563, 78, 318, 262, 5544, 5062, 6264, 416, 3409, 6893, 272, 16175, 78, 7563, 78, 13, 632, 373, 2716, 319, 281, 18470, 287, 17672, 290, 10969, 257, 21748, 286, 264, 31842, 290, 21274, 13, 198, 198, 818, 4793, 428, 5062, 373, 302, 39361, 319, 6458, 355, 636, 286, 262, 9995, 32020, 260, 15812, 2168, 8389, 416, 7516, 30857, 13, 198, 198, 24802, 13487, 198, 198, 464, 14024, 2610, 11, 366, 47, 448, 12, 48681, 380, 1600, 318, 13160, 416, 5207, 286, 584, 3598, 7259, 5610, 2174, 262, 2610, 13, 198, 198, 15439, 4954, 198, 34, 18964, 7298, 9448, 1526, 10115, 532, 19132, 198, 39, 4494, 1462, 15551, 527, 532, 12702, 198, 16170, 1462, 3125, 8704, 532, 24730, 198, 198, 19927, 198, 198, 45271, 16788, 198, 50, 4131, 25786, 16175, 78, 7563, 78, 16788, 464, 25911, 5449, 379, 262, 3050, 5694, 1605, 290, 18020, 5776, 373, 2714, 287, 1737, 363, 9116, 8471, 11, 15295, 16707, 13, 198, 220, 198, 464, 1450, 338, 7756, 373, 7530, 284, 307, 2714, 422, 1987, 1906, 1270, 2901, 11, 262, 1466, 338, 7756, 373, 7530, 284, 307, 2714, 422, 1248, 1906, 1954, 2901, 379, 262, 3175, 48711, 390, 30009, 32009, 18840, 331, 2129, 419, 274, 11, 262, 24238, 12348, 76, 559, 40846, 290, 262, 943, 31735, 952, 27663, 40846, 477, 287, 4347, 64, 1619, 4294, 13, 198, 198, 10418, 338, 7756, 198, 198, 27201, 317, 198, 198, 27201, 347, 198, 198, 9921, 282, 2835, 198, 198, 20, 400, 1906, 22, 400, 4113, 198, 198, 18495, 338, 7756, 198, 198, 27201, 317, 198, 198, 27201, 347, 198, 198, 9921, 282, 2835, 198, 198, 20, 400, 1906, 23, 400, 4113, 198, 198, 41506, 6117, 198, 198, 21265, 220, 198, 16157, 3050, 5701, 2995, 287, 2258, 2253, 198, 10333, 1906, 1157, 287, 2258, 1605, 9669, 198, 33, 14575, 379, 262, 5694, 1605, 290, 18020, 5776, 198, 24274, 9669, 24174, 12007, 416, 15295, 16707, 41, 1219, 1236, 274, 366, 39, 1236, 274, 1, 41971, 357, 1828, 2901, 24718, 784, 718, 1737, 1584, 8, 373, 257, 2679, 256, 398, 4189, 396, 286, 36146, 2647, 290, 1479, 21274, 13, 679, 373, 262, 3956, 286, 262, 256, 398, 4189, 396, 1482, 3281, 41971, 13, 198, 198, 1544, 373, 4642, 287, 367, 6765, 13, 3574, 13521, 31719, 11, 339, 3111, 355, 257, 27449, 21623, 287, 11307, 13, 198, 198, 14311, 1854, 11, 339, 3111, 351, 262, 1708, 2628, 25, 262, 1869, 39193, 3059, 377, 2736, 3086, 33405, 316, 11, 2141, 46357, 5908, 46357, 357, 4480, 1482, 3281, 41971, 11, 471, 732, 509, 1773, 21141, 11, 290, 5053, 21973, 366, 19585, 1, 20678, 325, 828, 3454, 707, 353, 30404, 357, 4480, 5966, 8049, 11, 5613, 11806, 3889, 11, 290, 16292, 3876, 360, 444, 1008, 828, 376, 7140, 357, 4480, 5658, 1004, 21116, 290, 5966, 8049, 828, 7148, 26669, 4102, 25219, 10243, 11, 290, 262, 5613, 1709, 9101, 22877, 9038, 30765, 316, 13, 198, 198, 33, 16261, 3724, 319, 718, 1737, 1584, 379, 262, 2479, 286, 8454, 13, 198, 198, 19927, 198, 198, 41506, 6117, 220, 628, 34940, 14353, 274, 41971, 198, 220, 41344, 1221, 4867, 198, 376, 7378, 1221, 4867, 198, 198, 1129, 4051, 27244, 198, 5304, 7040, 198, 11146, 21274, 256, 398, 4189, 1023, 198, 16010, 21274, 256, 398, 4189, 1023, 198, 25486, 256, 398, 4189, 1023, 198, 8061, 422, 367, 6765, 357, 33890, 1000, 8, 198, 16010, 4257, 21274, 17245, 198, 9861, 5910, 18714, 34017, 1866, 198, 5317, 461, 83, 13407, 7912, 198, 37, 7378, 14, 11146, 7849, 19174, 7912, 30804, 3205, 743, 3522, 284, 25, 198, 198, 30804, 3205, 357, 40916, 828, 416, 311, 1739, 68, 198, 1, 30804, 3205, 1, 357, 34050, 828, 416, 3362, 44677, 198, 15017, 6033, 4696, 3782, 11, 9916, 7533, 4271, 3706, 9440, 2751, 3205, 0, 198, 30804, 3205, 357, 6849, 2168, 828, 3517, 3195, 2168, 717, 3402, 5816, 42, 32981, 357, 39699, 1845, 8, 1675, 354, 805, 357, 1558, 5607, 784, 3426, 1160, 11, 34865, 8, 373, 15945, 12, 6286, 1605, 6853, 290, 10686, 508, 7042, 262, 15945, 26012, 357, 1415, 400, 290, 1315, 400, 13340, 842, 6800, 8, 286, 5030, 338, 7458, 13, 198, 198, 20457, 1204, 198, 2514, 354, 805, 373, 4642, 287, 25370, 223, 128, 247, 12735, 544, 287, 1596, 5607, 13, 679, 9713, 3854, 290, 8694, 379, 32955, 2059, 290, 706, 21571, 3111, 355, 281, 6136, 287, 32955, 13, 11079, 16337, 805, 286, 262, 15945, 9606, 6210, 7023, 11, 339, 373, 257, 922, 1545, 286, 262, 13353, 12, 259, 12, 23675, 286, 262, 3389, 471, 14619, 2365, 1168, 35641, 76, 2797, 3661, 81, 7357, 27235, 72, 355, 880, 355, 5302, 620, 320, 1004, 293, 86, 417, 290, 6669, 1601, 948, 4270, 1349, 441, 72, 13, 317, 22140, 10834, 290, 6260, 339, 13134, 287, 262, 7023, 329, 3205, 35749, 1471, 44464, 706, 262, 28693, 15945, 15188, 357, 8017, 680, 25, 24324, 283, 7357, 301, 21638, 12958, 354, 322, 5411, 360, 49746, 979, 745, 7695, 1455, 41615, 88, 354, 11089, 2189, 89, 620, 2165, 8135, 488, 737, 198, 198, 21159, 471, 14619, 290, 2295, 4254, 198, 2514, 354, 805, 4983, 355, 281, 3818, 357, 14485, 15340, 393, 772, 1688, 1864, 284, 2972, 4237, 8, 1141, 262, 3389, 471, 14619, 13, 2293, 262, 5838, 286, 347, 544, 41615, 78, 41615, 128, 247, 4914, 339, 373, 11343, 11285, 47966, 4460, 270, 2743, 355, 257, 9709, 284, 465, 37808, 13, 198, 198, 3152, 262, 7433, 286, 262, 7088, 3686, 658, 1675, 354, 805, 373, 4137, 284, 11562, 351, 5215, 13, 4100, 494, 73, 11089, 8482, 129, 226, 20545, 338, 12778, 13, 679, 795, 38769, 284, 5184, 570, 261, 11, 4881, 810, 339, 4983, 355, 7705, 286, 262, 15945, 4281, 290, 1568, 14113, 832, 4881, 287, 7176, 286, 11228, 517, 5941, 13, 5856, 326, 640, 339, 5399, 262, 18456, 290, 350, 993, 11339, 2030, 368, 888, 35362, 13, 554, 1248, 2718, 1675, 354, 805, 2627, 27822, 1729, 1036, 1045, 329, 262, 4141, 1230, 290, 3066, 284, 795, 42175, 284, 1578, 1829, 13, 198, 1544, 3111, 355, 4141, 4701, 287, 968, 1971, 2254, 1566, 47784, 618, 339, 373, 7520, 14218, 290, 2540, 11065, 1605, 3026, 1099, 532, 428, 9343, 683, 284, 12831, 6136, 17098, 290, 923, 257 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 338, 9591, 11, 1004, 25102, 15218, 11499, 11, 6149, 511, 8006, 11, 290, 318, 2111, 284, 35520, 262, 2728, 286, 511, 4069, 13, 15218, 11499, 290, 262, 13142, 3085, 389, 2582, 5169, 329, 3991, 16510, 290, 7459, 86, 6750, 4329, 262, 649, 9591, 13, 26395, 11, 15342, 329, 18120, 262, 1339, 11, 7893, 8047, 284, 4654, 262, 1168, 5760, 355, 607, 5212, 13, 2102, 11, 339, 34425, 28317, 607, 2897, 706, 257, 9095, 38974, 26395, 656, 2282, 35341, 17219, 318, 2157, 262, 11428, 366, 39308, 363, 9449, 1, 18195, 13, 26395, 338, 3651, 11, 7025, 319, 5581, 11, 49225, 3252, 290, 8839, 1028, 23311, 3690, 1168, 1025, 24464, 13, 198, 198, 39213, 6021, 351, 14934, 11, 26395, 627, 896, 607, 1693, 290, 5860, 1363, 13, 1318, 11, 673, 22974, 326, 5265, 1374, 8116, 389, 1682, 262, 6763, 9042, 34122, 775, 48038, 1122, 18240, 26, 484, 3994, 257, 42181, 39366, 326, 468, 6049, 11, 15727, 3795, 46084, 3048, 319, 23426, 326, 5640, 606, 284, 1210, 27303, 13, 26395, 5860, 284, 1168, 1025, 24464, 11, 11626, 2759, 40534, 278, 351, 8047, 13, 2080, 262, 1037, 286, 1770, 13, 4403, 11, 26395, 290, 8047, 15054, 378, 775, 48038, 1122, 11, 508, 15534, 339, 373, 9657, 416, 257, 15770, 35, 88, 568, 87, 11183, 46087, 361, 4685, 388, 318, 257, 5509, 287, 262, 1641, 5616, 72, 48319, 13, 383, 2176, 21240, 3202, 220, 318, 422, 262, 9133, 3616, 366, 2704, 3618, 319, 262, 21427, 1911, 198, 198, 11828, 198, 464, 5509, 13676, 510, 284, 220, 7331, 351, 257, 21427, 14753, 286, 510, 284, 764, 383, 21405, 318, 13791, 13, 383, 6029, 306, 629, 4714, 12734, 389, 2330, 11, 11398, 680, 393, 8566, 13, 383, 15921, 389, 2266, 11, 14292, 588, 257, 1353, 11, 510, 284, 220, 287, 14753, 13, 198, 198, 20344, 3890, 290, 20018, 198, 35, 88, 568, 87, 11183, 46087, 361, 4685, 388, 318, 1043, 287, 1423, 5374, 1437, 11, 16952, 290, 43404, 544, 13, 6363, 20018, 318, 257, 4996, 286, 17039, 422, 5417, 12, 5715, 284, 220, 20334, 13, 198, 198, 19927, 198, 198, 66, 2518, 361, 4685, 388, 198, 51, 6037, 286, 40136, 12, 14581, 198, 51, 6037, 286, 43404, 544, 198, 3646, 1187, 3417, 287, 1248, 2425, 12130, 23192, 318, 281, 555, 1939, 40132, 2055, 287, 14943, 3418, 11, 9470, 11, 1578, 1829, 13, 220, 632, 318, 5140, 642, 4608, 5366, 286, 38173, 1122, 379, 12672, 9508, 400, 520, 290, 311, 27042, 20769, 13, 198, 198, 18122, 198, 12130, 23192, 373, 3706, 329, 3700, 27042, 11, 281, 1903, 2970, 1754, 287, 6233, 32115, 11, 14943, 3418, 11, 9470, 13, 406, 13, 32, 13, 4345, 2815, 366, 11793, 3304, 276, 290, 8104, 503, 1, 262, 27042, 3240, 2524, 2693, 1679, 11, 49584, 11, 319, 1956, 6898, 416, 1583, 13, 5658, 311, 13, 12937, 357, 1507, 1270, 12, 48104, 8, 290, 14919, 2409, 20963, 12937, 357, 1507, 3901, 12, 40454, 737, 554, 1248, 5774, 11, 1583, 13, 12937, 390, 15395, 1956, 329, 826, 12, 1659, 12, 1014, 284, 262, 9470, 7215, 1044, 36289, 5834, 13, 679, 4166, 262, 3240, 290, 2702, 2615, 6041, 13, 27042, 2627, 257, 4429, 319, 257, 24337, 10618, 286, 520, 13, 5593, 1906, 15017, 6033, 32130, 326, 4966, 422, 45526, 284, 38173, 1122, 13, 4930, 11849, 13404, 257, 1110, 3804, 832, 27042, 13, 198, 198, 32, 1281, 2607, 373, 4721, 287, 27042, 287, 49584, 11, 290, 6150, 287, 4905, 1566, 340, 373, 31349, 287, 36565, 13, 198, 198, 464, 2055, 373, 5140, 1863, 257, 24337, 1627, 1022, 38173, 1122, 290, 38881, 11, 475, 262, 2610, 373, 4615, 287, 262, 6303, 82, 393, 4751, 82, 13, 198, 198, 10082, 4867, 198, 12130, 23192, 318, 5140, 379, 22715, 5214, 13, 5824, 2091, 34825, 11, 532, 5607, 13, 2996, 1120, 29334, 287, 262, 1181, 286, 9470, 13, 198, 198, 41183, 198, 464, 2055, 318, 4983, 416, 38173, 1122, 11403, 45620, 1171, 1524, 4783, 13, 198, 198, 19927, 198, 198, 13518, 3555, 198, 198, 41506, 6117, 198, 14943, 3418, 20347, 25, 9236, 11, 30426, 11, 43943, 2394, 198, 198, 3118, 1939, 40132, 5348, 287, 14943, 3418, 11, 9470, 198, 3118, 1939, 40132, 5348, 287, 9470, 818, 64, 14937, 354, 1134, 357, 6286, 1679, 2693, 6303, 287, 311, 962, 83, 8016, 270, 281, 4587, 2671, 272, 8, 318, 281, 25691, 435, 23908, 6729, 3526, 263, 13, 1375, 7997, 607, 3277, 17322, 287, 734, 23713, 286, 262, 11514, 5776, 357, 10333, 290, 1946, 828, 290, 4191, 4752, 257, 22101, 18279, 287, 10730, 6175, 1017, 282, 296, 379, 262, 3050, 376, 1797, 20000, 2159, 24782, 287, 6233, 33242, 8130, 11, 968, 8936, 290, 5544, 12, 5372, 20271, 379, 262, 376, 1797, 2159, 5454, 2168, 13, 14937, 354, 1134, 318, 3058, 257, 2888, 286, 7054, 42, 127, 244, 24182, 74, 1313, 38809, 6289, 287, 9757, 620, 11, 739, 607, 2614, 3985, 4186, 370, 3101, 263, 13, 198, 198, 44, 274, 354, 1134, 925, 607, 1743, 8886, 11, 355, 257, 678, 12, 1941, 12, 727, 11, 379, 262, 3050, 10633, 14935, 287, 10930, 11, 810, 673, 5201, 11695, 287, 262, 1466, 338, 6175, 1017, 282, 296, 11, 6078, 503, 284, 4486, 338, 1052, 365, 9375, 301, 641, 287, 262, 17923, 2457, 2872, 416, 24742, 12, 14337, 3470, 9998, 286, 257, 1218, 13, 198, 198, 2953, 262, 1946, 10633, 14935, 287, 37126, 11, 14937, 354, 1134, 10617, 329, 734, 435, 23908, 6729, 27794, 2995, 357, 8201, 262, 717, 1683, 1466, 338, 10730, 1017, 282, 296, 8, 416, 16937, 5544, 12, 5372, 20271, 422, 262, 376, 1797, 2159, 5454, 2168, 287, 8041, 5031, 11, 37562, 11, 290, 287, 7276, 34443, 11, 8031, 13, 554, 262, 1466, 338, 6175, 1017, 282, 296, 11, 14937, 354, 1134, 6596, 607, 3161, 2854, 287, 10930, 351, 257, 5544, 12, 5372, 5461, 11, 475, 26167, 6825, 262, 22101, 18279, 416, 2048, 257, 1336, 1218, 2157, 2583, 3277, 338, 978, 8107, 1168, 615, 283, 89, 1437, 287, 511, 1402, 2457, 2872, 13, 7683, 1528, 1568, 11, 287, 262, 26851, 1466, 338, 1017, 282, 296, 11, 14937, 354, 1134, 750, 407, 2872, 607, 25041, 22966, 422, 262, 6175, 1017, 282, 296, 11, 355, 673, 2626, 262, 3860, 20311, 2872, 284, 4486, 338, 1703, 417, 494, 509, 2023, 416, 257 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 18606, 351, 465, 23197, 705, 82, 17180, 2427, 290, 3214, 736, 837, 308, 16406, 764, 292, 611, 484, 705, 67, 7891, 617, 3200, 6737, 837, 477, 1115, 286, 607, 16391, 6451, 5025, 837, 9763, 572, 532, 772, 262, 530, 991, 17275, 572, 607, 348, 441, 284, 465, 12505, 532, 290, 655, 3114, 379, 607, 764, 270, 373, 7650, 764, 3919, 837, 340, 373, 23387, 764, 15506, 1568, 837, 10148, 262, 2415, 531, 837, 290, 3888, 284, 262, 3420, 764, 1169, 734, 1450, 3940, 607, 764, 29762, 2393, 837, 3892, 503, 656, 262, 9003, 764, 400, 5893, 4201, 1568, 837, 262, 3420, 275, 5102, 1280, 837, 290, 17115, 544, 5482, 4496, 5982, 837, 2045, 3492, 329, 1997, 532, 2832, 510, 837, 3463, 12974, 319, 262, 11333, 286, 607, 3625, 837, 543, 287, 883, 10012, 373, 1223, 286, 281, 29340, 764, 7091, 3114, 1088, 287, 257, 14357, 12, 7217, 3781, 837, 788, 5670, 319, 21274, 290, 4376, 607, 26928, 287, 281, 32973, 298, 644, 262, 5968, 5633, 38714, 764, 15506, 2151, 705, 82, 625, 837, 10148, 21274, 531, 8033, 8613, 764, 7091, 373, 17275, 837, 41719, 477, 625, 764, 2536, 858, 306, 45782, 764, 7091, 1509, 46647, 262, 736, 286, 607, 1021, 1973, 607, 5422, 837, 2045, 329, 2910, 837, 290, 12086, 326, 484, 550, 299, 470, 1682, 8104, 257, 1021, 319, 607, 764, 4053, 837, 11077, 287, 262, 12581, 5013, 550, 12165, 588, 257, 285, 2261, 2644, 21274, 4168, 2817, 510, 607, 20858, 49189, 290, 3114, 379, 262, 2928, 1317, 764, 88, 538, 837, 326, 373, 1016, 284, 18145, 786, 588, 257, 3367, 286, 257, 21551, 764, 15506, 644, 262, 5968, 3022, 5633, 10148, 75, 1229, 544, 1965, 764, 15506, 345, 1560, 502, 837, 345, 705, 260, 262, 22754, 9078, 764, 12518, 661, 1368, 502, 837, 340, 705, 82, 3221, 1141, 262, 5810, 286, 257, 14544, 837, 407, 655, 780, 1312, 1718, 262, 2642, 14595, 287, 262, 17308, 705, 2119, 764, 10148, 73, 8101, 7121, 1497, 422, 262, 1104, 286, 262, 17763, 3355, 290, 6807, 284, 262, 10162, 764, 372, 1986, 373, 21002, 290, 44869, 837, 607, 2951, 17372, 12, 29199, 764, 10197, 607, 4190, 3114, 1365, 764, 11043, 77, 837, 673, 8359, 428, 3404, 764, 5562, 373, 2192, 6639, 764, 15506, 345, 837, 10148, 17115, 544, 531, 837, 355, 611, 673, 705, 67, 1100, 607, 2000, 837, 7559, 761, 257, 20005, 764, 18927, 42582, 764, 25991, 8352, 28073, 764, 10148, 7091, 14846, 36979, 837, 996, 764, 15506, 1309, 705, 82, 651, 503, 286, 994, 764, 10148, 15506, 10194, 837, 10148, 21274, 4987, 764, 15506, 2192, 257, 922, 2126, 764, 10148, 44065, 351, 17115, 544, 373, 299, 470, 588, 6155, 3436, 764, 1640, 530, 1517, 837, 21274, 373, 973, 284, 34863, 287, 837, 1017, 25218, 837, 14928, 661, 705, 82, 2951, 764, 76, 535, 18270, 550, 1464, 13818, 546, 340, 837, 1444, 607, 257, 442, 480, 38970, 2162, 339, 705, 67, 550, 262, 4569, 2243, 4931, 290, 2511, 12931, 281, 16992, 2372, 772, 618, 5586, 290, 3555, 262, 7533, 764, 4360, 788, 837, 285, 535, 18270, 550, 299, 470, 3111, 23557, 764, 7091, 550, 764, 75, 1229, 544, 5482, 4496, 705, 82, 22491, 373, 517, 588, 257, 23443, 2746, 705, 82, 764, 7091, 9859, 38806, 355, 673, 31297, 276, 832, 262, 30466, 12, 6604, 1989, 837, 10904, 290, 19992, 287, 607, 11915, 8242, 764, 73, 8101, 991, 2936, 14836, 837, 475, 407, 287, 257, 922, 835, 764, 19545, 284, 17115, 544, 5482, 4496, 837, 749, 1466, 561, 22100, 656, 39328, 764, 15506, 543, 835, 5633, 10148, 75, 1229, 544, 1965, 837, 22292, 319, 36251, 355, 484, 34710, 262, 2615, 764, 73, 8101, 14464, 3812, 262, 12899, 7647, 1256, 764, 7091, 16555, 673, 705, 67, 1807, 284, 2353, 617, 23787, 837, 475, 788, 837, 25144, 561, 423, 587, 537, 28898, 4171, 12, 9967, 364, 422, 257, 5104, 64, 1910, 764, 75, 1229, 544, 705, 82, 550, 262, 33143, 837, 5201, 804, 286, 26924, 290, 2192, 1575, 517, 621, 257, 1097, 764, 1662, 326, 673, 373, 14176, 393, 1997, 764, 75, 1229, 544, 705, 82, 6131, 1816, 656, 262, 21427, 837, 290, 21274, 28660, 262, 1989, 329, 5895, 286, 607, 40018, 9692, 764, 34952, 1118, 287, 6504, 764, 7091, 550, 257, 41409, 1359, 319, 262, 736, 286, 607, 7393, 837, 996, 837, 290, 373, 299, 470, 6655, 618, 17115, 544, 837, 4756, 262, 11849, 1735, 837, 531, 837, 7559, 484, 705, 260, 4964, 514, 764, 10148, 15506, 810, 5633, 10148, 73, 8101, 288, 17758, 2641, 764, 9930, 21376, 8215, 379, 262, 976, 2589, 764, 75, 1229, 544, 13665, 9091, 607, 22531, 257, 6247, 3860, 11111, 287, 262, 4571, 286, 257, 2330, 6103, 5719, 5586, 319, 262, 15591, 9753, 546, 1936, 3470, 5695, 1497, 764, 292, 21274, 3114, 379, 340, 837, 340, 24595, 9763, 503, 286, 6504, 764, 15506, 3367, 286, 257, 21551, 764, 482, 323, 837, 1312, 1577, 510, 764, 10919, 262, 5968, 318, 1016, 319, 5633, 10148, 15506, 1312, 466, 299, 470, 760, 764, 10148, 15506, 880, 837, 345, 760, 517, 621, 1312, 466, 5145, 10148, 75, 1229, 544, 31782, 890, 837, 3223, 4190, 736, 351, 257, 22943, 1633, 837, 290, 32198, 764, 15506, 1312, 6497, 510, 257, 7894, 379, 262, 7541, 287, 288, 7826, 837, 10148, 673, 531, 764, 15506, 2147, 3489, 837, 475, 340, 373, 612, 764, 5577, 2521, 874, 837, 588, 262, 3730, 287, 262, 9003, 655, 783, 764, 72, 466, 299, 470, 760, 508, 484, 705, 260, 1762, 329, 764, 16670, 1312, 423, 645, 2126, 1521, 11153, 561, 1949, 284, 1011, 345, 503, 287, 884, 257, 17564, 1171, 4634, 764, 10148, 15506, 3863, 340, 318, 299, 470, 546, 502, 379, 477, 764, 25991, 340, 373, 3519, 284, 534, 1339, 764, 39664, 340, 318, 345, 705, 260, 1762, 764, 10148, 7091, 750, 299, 470, 1265, 837, 475, 673, 1364, 262, 3420, 1280, 287, 1339, 17115, 544, 2227, 284, 2648, 764, 7091, 815, 423, 1900, 1365, 764, 15506, 645, 764, 270, 705, 82, 407, 308, 2224, 68, 837, 10148, 17115, 544, 531, 764, 15506, 326, 373, 477, 1760, 618, 777, 661, 3751, 510, 764, 392, 484, 5284, 1626, 281, 1711, 286, 262, 3850, 14820, 379, 616, 7541, 764, 25591, 1243, 423, 284, 307, 5884 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 21460, 3175, 907, 290, 2409, 918, 73, 2577, 88, 13, 7735, 5093, 340, 318, 17232, 379, 5043, 884, 355, 6896, 4013, 411, 2351, 3250, 11, 22607, 7123, 10362, 12224, 11, 290, 32211, 34838, 10362, 12224, 13, 383, 4387, 300, 715, 6864, 6290, 29623, 287, 23438, 318, 379, 314, 2290, 4914, 10362, 12224, 543, 318, 636, 286, 262, 2159, 18518, 14413, 402, 623, 49484, 10301, 754, 6448, 286, 4505, 45100, 287, 12113, 290, 2087, 284, 262, 6638, 2351, 18518, 7343, 287, 4343, 13, 198, 198, 19927, 220, 628, 220, 198, 198, 10082, 4867, 286, 968, 2520, 11769, 198, 16351, 6448, 286, 968, 2520, 11769, 198, 12915, 19041, 25047, 5348, 5990, 4434, 660, 28423, 433, 366, 3646, 5330, 1, 449, 684, 1559, 357, 6286, 838, 2932, 27937, 8, 318, 257, 14023, 14015, 11, 3496, 16002, 11, 290, 21623, 13, 679, 468, 587, 257, 890, 12, 2435, 2888, 286, 262, 14023, 3881, 4097, 19208, 74, 85, 1501, 287, 3090, 284, 465, 12199, 5696, 13, 554, 1946, 11, 339, 635, 2716, 281, 5062, 26913, 351, 28931, 305, 1446, 420, 1073, 355, 28931, 305, 1222, 1345, 5330, 13, 449, 684, 1559, 468, 635, 3194, 1811, 3835, 1141, 465, 3451, 13, 198, 198, 50, 14057, 670, 198, 198, 818, 8235, 11, 339, 2716, 465, 5062, 1345, 5330, 422, 543, 373, 2077, 465, 2060, 366, 50, 29090, 782, 268, 474, 363, 37331, 671, 10597, 3100, 1911, 198, 198, 818, 19208, 74, 85, 1501, 198, 23937, 465, 12199, 670, 11, 1201, 262, 8069, 82, 11, 339, 318, 636, 286, 19208, 74, 85, 1501, 11, 257, 14023, 3881, 4097, 7042, 287, 5414, 81, 74, 9101, 13886, 287, 16382, 11, 17747, 286, 1345, 5330, 449, 684, 1559, 11, 262, 1388, 3496, 16002, 11, 14015, 290, 18662, 32705, 286, 262, 4097, 11, 465, 3956, 8124, 449, 684, 1559, 11, 1085, 32705, 508, 635, 6797, 7259, 290, 318, 12285, 25355, 290, 12702, 2137, 8832, 13002, 35942, 11, 508, 468, 4635, 257, 1271, 286, 16788, 416, 19208, 74, 85, 1501, 11, 355, 880, 355, 584, 7912, 13, 383, 4097, 318, 845, 4075, 290, 6768, 11987, 355, 530, 286, 262, 1266, 3881, 11760, 287, 10710, 11, 351, 257, 1708, 287, 584, 35834, 2678, 355, 880, 13, 198, 198, 6767, 5024, 198, 8128, 286, 465, 11533, 11, 339, 468, 2077, 636, 287, 257, 1271, 286, 5581, 32260, 11, 749, 14660, 262, 3648, 3195, 2168, 569, 368, 491, 273, 7043, 708, 7043, 6184, 97, 81, 30, 13, 554, 3050, 11, 339, 373, 287, 262, 717, 2168, 286, 262, 14023, 3195, 2168, 311, 29090, 616, 694, 316, 275, 11033, 926, 260, 810, 257, 1271, 286, 7912, 651, 1978, 284, 21270, 290, 1702, 26146, 286, 1123, 584, 338, 2499, 13, 198, 198, 30228, 1204, 198, 818, 2321, 11, 339, 6405, 14200, 311, 73, 9101, 30679, 83, 11, 465, 890, 12, 2435, 5212, 13, 198, 1544, 468, 604, 1751, 351, 1115, 1180, 1466, 13, 198, 198, 33, 45689, 198, 1874, 64, 2429, 296, 3140, 321, 258, 1452, 25, 38487, 433, 4130, 70, 267, 354, 1062, 300, 14396, 6862, 2107, 83, 11, 3648, 198, 3567, 353, 1222, 3752, 959, 1216, 29090, 77, 2853, 336, 5799, 8604, 85, 11033, 5235, 11, 3648, 11, 1117, 8406, 22562, 1196, 290, 430, 1341, 822, 9255, 198, 1345, 17786, 479, 482, 65, 482, 25, 1041, 574, 344, 11, 44753, 1477, 349, 3653, 11, 509, 6197, 11, 3717, 198, 1345, 17786, 32727, 4914, 479, 482, 65, 482, 25, 16618, 273, 6888, 11, 15142, 11, 10062, 4668, 5908, 11, 2813, 198, 198, 15642, 4867, 198, 198, 2348, 4435, 82, 198, 198, 41, 1563, 5062, 355, 28931, 305, 1222, 1345, 5330, 198, 198, 29974, 829, 198, 198, 39750, 4867, 198, 198, 6767, 5024, 198, 198, 19927, 198, 198, 10462, 276, 680, 4257, 39113, 198, 10462, 276, 680, 3496, 34422, 198, 10462, 276, 680, 12, 16129, 39113, 198, 1129, 4349, 27244, 198, 36376, 661, 42885, 4861, 7806, 4294, 263, 11818, 1073, 357, 6286, 2242, 2932, 9768, 8, 318, 281, 11514, 4257, 6332, 34845, 422, 15295, 16707, 13, 4294, 263, 32440, 287, 262, 2321, 10216, 14935, 329, 15295, 16707, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 198, 23847, 27244, 198, 36376, 661, 198, 47, 84, 13806, 44459, 4257, 6332, 41758, 198, 7437, 4257, 6332, 41758, 198, 54, 2118, 8116, 379, 262, 2321, 10216, 14935, 198, 46, 6760, 291, 41758, 286, 15295, 16707, 198, 8061, 422, 10844, 78, 360, 3383, 78, 6719, 620, 259, 318, 281, 5062, 416, 46909, 48982, 396, 13005, 1703, 11567, 6264, 287, 20033, 290, 2716, 319, 262, 24158, 10045, 6167, 13, 198, 198, 3041, 4516, 198, 464, 1439, 22648, 2423, 416, 4746, 10642, 322, 5081, 25, 366, 1169, 1049, 3478, 273, 17706, 1367, 4158, 2537, 76, 5907, 326, 389, 3892, 422, 262, 4928, 986, 428, 1310, 12, 4002, 5062, 318, 257, 2138, 15241, 290, 7016, 32922, 11, 290, 318, 2407, 3748, 1911, 198, 198, 24802, 13487, 220, 198, 3237, 33543, 4569, 11, 2845, 355, 8203, 198, 366, 36087, 19123, 1, 532, 513, 25, 1314, 220, 220, 220, 220, 220, 198, 366, 56, 1164, 1892, 1, 532, 362, 25, 486, 220, 220, 220, 220, 220, 198, 366, 4826, 485, 351, 2185, 1, 357, 32476, 12155, 9334, 660, 11, 3977, 8616, 28854, 8, 532, 513, 25, 1507, 220, 220, 220, 220, 220, 198, 366, 33, 1203, 276, 2195, 3874, 1, 357, 37, 7737, 449, 13, 33098, 11, 1380, 2577, 1350, 350, 13, 6102, 1324, 8, 532, 513, 25, 1507, 220, 220, 220, 220, 220, 198, 366, 464, 33189, 1, 532, 513, 25, 405, 220, 220, 220, 220, 220, 198, 366, 1639, 1183, 7236, 6857, 28043, 1, 357, 46, 13034, 18278, 5714, 2873, 11, 6219, 19947, 8, 532, 513, 25, 2598, 220, 220, 220, 220, 220, 198, 366, 40, 32018, 1, 357, 9139, 7114, 18515, 11, 5686, 7114, 11520, 11, 12963, 911, 1901, 11, 978, 7831, 805, 8, 532, 513, 25, 1507, 220, 220, 220, 220, 220, 198, 366, 6719, 4680, 32923, 1, 357, 41, 13, 347, 13, 376, 13, 12206, 8, 532, 604, 25, 1157, 220, 220, 220, 220, 220, 198, 366, 2061, 257, 9182, 1, 357, 29458, 337, 13, 1446, 380, 574, 11, 7516, 9325, 89, 265, 1482, 4399, 8, 532, 513, 25, 2327, 220, 220, 220, 220 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 547, 2739, 764, 896, 257, 36212, 764, 24219, 837, 645, 1103, 4419, 764, 30560, 5633, 3919, 837, 5176, 764, 72, 423, 550, 617, 27805, 1541, 764, 82, 34518, 3767, 2045, 379, 262, 3272, 4775, 15027, 764, 1150, 291, 1292, 10742, 532, 8953, 764, 41599, 5633, 1169, 18437, 6140, 351, 288, 13, 663, 2048, 262, 938, 530, 764, 82, 6548, 1107, 837, 691, 1936, 7475, 764, 1219, 826, 837, 1312, 716, 407, 1107, 922, 379, 3272, 4775, 24367, 764, 82, 34518, 17298, 319, 262, 15027, 764, 79, 541, 2936, 339, 373, 257, 1643, 286, 257, 24066, 287, 7208, 764, 403, 785, 12065, 339, 19169, 326, 264, 34518, 373, 5291, 465, 4860, 510, 290, 407, 852, 326, 22516, 3371, 683, 764, 64, 2933, 508, 4084, 2227, 284, 307, 7382, 2073, 837, 475, 508, 2936, 281, 12990, 284, 307, 612, 764, 14925, 286, 617, 3315, 16376, 837, 345, 760, 837, 19521, 837, 24556, 913, 82, 837, 326, 3297, 286, 1517, 764, 67, 4629, 837, 1936, 7475, 3726, 351, 288, 13, 14397, 837, 340, 18548, 307, 764, 9930, 2921, 326, 287, 262, 18437, 837, 475, 345, 389, 826, 546, 262, 264, 13, 8181, 319, 1440, 866, 1058, 8234, 7668, 351, 3056, 329, 5373, 287, 11063, 431, 764, 82, 34518, 8941, 24487, 329, 8033, 764, 1219, 2562, 837, 19450, 355, 287, 3056, 837, 267, 300, 1312, 290, 410, 304, 329, 5373, 287, 11063, 431, 764, 5562, 655, 5667, 262, 16376, 764, 79, 541, 11615, 284, 1394, 510, 351, 264, 620, 292, 1807, 7767, 2162, 15066, 264, 34518, 665, 49376, 465, 3112, 257, 3155, 286, 1661, 287, 1807, 764, 1219, 837, 4043, 837, 1312, 760, 764, 49253, 764, 82, 34518, 5901, 287, 262, 18437, 15499, 3875, 764, 28060, 764, 258, 24650, 262, 3348, 510, 837, 3443, 13663, 465, 1182, 290, 13541, 764, 71, 1666, 1263, 1524, 788, 5633, 79, 541, 837, 9675, 284, 307, 10810, 379, 938, 13055, 257, 4286, 286, 262, 1524, 764, 1219, 837, 881, 5749, 621, 262, 12586, 764, 896, 7876, 837, 477, 10524, 286, 6510, 290, 262, 1295, 318, 1057, 416, 262, 662, 2309, 82, 1107, 764, 66, 415, 910, 1312, 588, 340, 881, 837, 475, 340, 857, 423, 13391, 764, 1169, 22041, 287, 3240, 329, 4554, 326, 356, 460, 467, 284, 837, 523, 890, 355, 340, 318, 407, 503, 286, 22303, 286, 1781, 764, 72, 892, 1312, 4702, 340, 994, 764, 5832, 588, 340, 783, 5633, 1219, 3763, 837, 852, 287, 262, 11695, 1296, 318, 922, 837, 2592, 1201, 262, 26420, 5201, 764, 4919, 318, 279, 2357, 5633, 1169, 734, 6510, 22112, 13006, 15497, 1678, 837, 1641, 2162, 279, 2357, 373, 379, 1194, 1524, 290, 340, 373, 8788, 5729, 764, 82, 34518, 2900, 284, 465, 8887, 290, 7347, 284, 465, 34613, 764, 64, 9550, 2540, 284, 12259, 287, 764, 79, 541, 2936, 13006, 837, 257, 761, 284, 651, 1243, 1016, 757, 257, 1487, 286, 3715, 5633, 2958, 319, 837, 8781, 651, 503, 286, 994, 764, 896, 257, 3621, 1110, 764, 1219, 837, 8788, 764, 8505, 837, 8781, 651, 1497, 422, 994, 764, 82, 34518, 6497, 510, 465, 7480, 290, 25152, 290, 1718, 606, 510, 284, 262, 3753, 764, 707, 12378, 306, 7347, 4504, 284, 262, 3084, 284, 19818, 465, 5405, 290, 7480, 290, 3940, 6050, 764, 1169, 6510, 1364, 262, 19945, 290, 6807, 2354, 764, 3003, 389, 356, 1016, 788, 5633, 439, 7347, 550, 319, 2897, 373, 257, 2513, 837, 475, 640, 373, 783, 1165, 1790, 329, 465, 2656, 3352, 764, 79, 541, 12326, 257, 3731, 5743, 284, 264, 620, 292, 1808, 764, 258, 561, 423, 284, 711, 3338, 764, 258, 1807, 2952, 764, 732, 460, 2513, 1863, 284, 649, 6213, 837, 290, 766, 810, 262, 629, 23027, 666, 48370, 422, 764, 270, 373, 8941, 2656, 837, 475, 264, 34518, 714, 407, 13121, 764, 79, 541, 1107, 2227, 284, 1011, 262, 1323, 284, 10211, 13207, 290, 2513, 284, 30592, 1211, 64, 837, 475, 484, 550, 1364, 340, 1165, 2739, 329, 326, 764, 82, 34518, 20261, 510, 262, 2897, 764, 3605, 6213, 339, 2936, 6792, 351, 764, 482, 323, 788, 764, 1169, 734, 6510, 6807, 837, 393, 2138, 491, 463, 2004, 572, 1863, 262, 1552, 268, 671, 837, 543, 284, 923, 351, 4966, 7848, 262, 8179, 2975, 284, 10211, 13207, 837, 523, 8179, 340, 925, 5273, 17198, 764, 1169, 2975, 7838, 373, 2192, 655, 355, 880, 355, 262, 13006, 3313, 3007, 3767, 2162, 523, 867, 7481, 547, 503, 286, 22303, 393, 714, 1085, 284, 3006, 837, 543, 6159, 2933, 2227, 284, 2112, 764, 79, 541, 1718, 257, 33614, 506, 16086, 379, 264, 34518, 764, 82, 34518, 550, 7334, 257, 1643, 2162, 339, 373, 2192, 37242, 1936, 2366, 783, 764, 14363, 4190, 837, 10403, 2392, 621, 3142, 837, 373, 6225, 422, 465, 9877, 15317, 2266, 284, 257, 18646, 7721, 14930, 9568, 764, 270, 373, 1016, 284, 886, 510, 3223, 7586, 588, 4273, 364, 837, 7347, 3066, 764, 11011, 5753, 2280, 7347, 1043, 2241, 8978, 503, 837, 655, 284, 3638, 465, 15185, 764, 270, 373, 262, 1657, 395, 286, 36377, 284, 264, 620, 292, 4190, 284, 530, 1735, 284, 2198, 611, 339, 373, 5922, 1735, 10899, 82, 764, 258, 373, 407, 764, 20342, 5145, 10919, 389, 345, 1804, 5633, 82, 34518, 50030, 379, 7347, 290, 1234, 257, 1336, 12699, 1022, 262, 734, 286, 606, 837, 2491, 465, 9353, 832, 465, 4190, 284, 2222, 617, 1502, 736, 284, 340, 764, 72, 373, 655, 10627, 284, 766, 611, 345, 547, 1972, 597, 1735, 10899, 82, 764, 72, 716, 764, 3826, 5633, 79, 541, 31782, 465, 4190, 284, 530, 1735, 2162, 262, 33875, 286, 257, 1735, 10899, 714, 307, 1775, 764, 4053, 837, 17666, 3638, 764, 71, 19129, 306, 5145, 82, 34518, 373, 1642, 845, 1598, 465, 2323, 3173, 329, 428, 1110, 764, 41599, 837, 1312, 716, 7926, 764, 72, 17666, 760, 1521, 1312, 750, 340, 764, 79, 541, 3888, 5699, 284, 264, 34518, 837, 475, 407, 355, 1969, 355, 339, 16555, 355, 264, 34518, 6807, 2952, 284, 1394, 617, 5253, 1022, 262, 734, 286, 606, 764, 72, 28329, 466, 326, 757, 837, 1107, 837, 475, 804, 837, 766, 1312, 423, 550, 257, 1643, 286, 257, 3349, 599, 3325, 764, 79, 541, 373, 6613, 286, 465, 649, 3349, 837, 262, 32908 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 764, 10148, 15506, 389, 262, 734, 4970, 5884, 5633, 10148, 15506, 16570, 1139, 484, 2993, 1123, 584, 2495, 880, 764, 10148, 15506, 523, 837, 345, 892, 262, 9591, 2921, 510, 262, 1218, 3117, 705, 82, 1438, 837, 7599, 5633, 10148, 15506, 714, 307, 764, 732, 705, 297, 423, 284, 804, 656, 326, 764, 10148, 15506, 1064, 503, 2279, 345, 460, 837, 10148, 3437, 474, 1697, 654, 531, 764, 15506, 1312, 761, 284, 760, 1771, 428, 318, 3519, 284, 883, 4172, 393, 407, 764, 14894, 502, 7981, 764, 10148, 9, 1635, 1635, 7559, 355, 258, 837, 1394, 281, 4151, 319, 534, 2802, 837, 10148, 257, 276, 272, 1234, 281, 3211, 1088, 355, 258, 705, 82, 12450, 655, 878, 339, 1816, 503, 284, 4860, 262, 2055, 764, 15506, 1312, 481, 837, 9955, 764, 72, 705, 297, 779, 304, 354, 349, 5040, 764, 10148, 15506, 3367, 837, 1312, 4601, 1312, 2993, 703, 345, 750, 326, 837, 10148, 257, 276, 272, 37257, 465, 1745, 319, 355, 258, 878, 9616, 683, 467, 764, 15506, 2800, 502, 611, 612, 705, 82, 597, 5876, 764, 10148, 15506, 1312, 481, 764, 10148, 8432, 272, 819, 504, 3221, 1816, 503, 284, 2342, 512, 11129, 6129, 319, 1336, 31093, 764, 1122, 432, 837, 339, 373, 4964, 262, 29661, 2427, 764, 292, 258, 561, 423, 284, 1011, 5798, 329, 465, 2802, 705, 82, 3747, 764, 15506, 9955, 837, 857, 7288, 760, 284, 2652, 1497, 422, 883, 7777, 5633, 10148, 15506, 484, 466, 837, 475, 611, 257, 1178, 286, 262, 7099, 3392, 765, 284, 787, 1243, 2408, 837, 10148, 257, 276, 272, 8712, 764, 292, 258, 14464, 837, 3612, 286, 474, 567, 1820, 764, 354, 324, 373, 2938, 284, 1057, 351, 262, 2353, 764, 19188, 1667, 9042, 760, 611, 262, 1862, 547, 18829, 18859, 1497, 5633, 361, 442, 324, 290, 474, 567, 1820, 1138, 510, 981, 287, 5044, 1296, 837, 484, 714, 4753, 2728, 2761, 329, 262, 34233, 4172, 764, 15506, 3367, 837, 299, 6696, 290, 1312, 481, 2342, 329, 5876, 837, 10148, 257, 276, 272, 48171, 355, 258, 764, 15506, 655, 3758, 2000, 45862, 611, 345, 4003, 1997, 716, 747, 764, 10148, 8432, 272, 373, 991, 40962, 326, 339, 714, 3285, 355, 258, 705, 82, 2000, 45862, 12, 1712, 35299, 351, 2000, 25159, 2694, 714, 691, 3758, 284, 2130, 2073, 351, 262, 7401, 764, 2164, 11850, 329, 644, 355, 258, 550, 587, 1813, 837, 257, 276, 272, 13541, 379, 465, 3367, 878, 6155, 503, 262, 9592, 3420, 284, 4654, 299, 6696, 764, 15506, 355, 258, 837, 389, 345, 3492, 5633, 10148, 671, 293, 1965, 281, 1711, 1568, 764, 15506, 10194, 837, 1995, 764, 10148, 15506, 345, 467, 717, 764, 10148, 671, 293, 561, 4043, 1566, 355, 258, 373, 1497, 878, 12047, 607, 33192, 290, 15852, 284, 279, 567, 2164, 500, 24215, 1102, 764, 15506, 1312, 705, 297, 787, 1654, 262, 8215, 389, 8970, 290, 262, 36302, 900, 837, 10148, 673, 2087, 764, 15506, 8788, 764, 10148, 292, 258, 750, 299, 470, 761, 284, 5793, 262, 8215, 2157, 683, 12, 258, 714, 14936, 826, 832, 8970, 8215, 355, 4020, 764, 15506, 1312, 705, 297, 4268, 616, 8242, 2354, 837, 1995, 837, 10148, 339, 2087, 837, 6155, 503, 262, 3420, 764, 671, 293, 7342, 355, 607, 3367, 14869, 284, 262, 275, 10344, 20963, 7365, 290, 781, 6320, 1497, 878, 5086, 607, 33192, 284, 4268, 764, 36194, 257, 279, 567, 2164, 500, 24215, 1102, 13112, 832, 262, 6016, 8824, 2971, 46717, 6279, 4039, 764, 9, 1635, 1635, 442, 324, 837, 287, 547, 18829, 1296, 837, 4966, 2157, 262, 1334, 286, 262, 6279, 4039, 2353, 837, 655, 355, 339, 290, 474, 567, 1820, 550, 6027, 764, 73, 567, 1820, 837, 355, 257, 4295, 9246, 837, 550, 14921, 284, 1826, 442, 324, 1474, 262, 2237, 8584, 5682, 5140, 2157, 355, 258, 819, 504, 705, 82, 2156, 764, 1169, 35299, 550, 284, 4860, 262, 2104, 2055, 837, 3501, 262, 6510, 281, 3663, 284, 3164, 262, 649, 3090, 981, 257, 276, 272, 290, 299, 6696, 547, 10627, 262, 7104, 10384, 2063, 257, 10591, 1497, 764, 354, 324, 290, 474, 567, 1820, 5292, 284, 423, 257, 1643, 286, 1257, 290, 3737, 12773, 268, 262, 5384, 12, 1169, 23909, 444, 12, 48229, 284, 787, 606, 2666, 764, 392, 611, 8276, 1392, 5938, 287, 262, 1429, 837, 880, 837, 326, 561, 299, 470, 9247, 2035, 286, 606, 764, 439, 484, 550, 284, 466, 373, 20435, 257, 1310, 837, 1642, 1654, 262, 35299, 547, 8057, 878, 484, 7425, 764, 303, 1586, 1497, 355, 262, 2353, 4966, 832, 257, 2243, 325, 286, 7150, 837, 442, 324, 2993, 339, 705, 67, 651, 1497, 1231, 852, 6825, 764, 1169, 2353, 550, 629, 4714, 257, 20096, 290, 326, 373, 257, 3734, 9799, 284, 15505, 319, 257, 8824, 18250, 1755, 764, 5036, 10809, 257, 1402, 2033, 286, 13721, 329, 4305, 262, 12601, 837, 442, 324, 20955, 290, 17687, 4571, 837, 4161, 83, 889, 3812, 262, 10183, 5743, 286, 262, 3119, 290, 262, 2237, 5175, 5682, 4953, 612, 764, 9, 1635, 1635, 300, 7258, 710, 6151, 629, 4714, 32268, 2162, 550, 257, 4947, 286, 606, 326, 673, 6578, 379, 1661, 837, 655, 329, 262, 4467, 286, 262, 5391, 1657, 2641, 607, 14043, 764, 11545, 783, 11544, 35254, 319, 607, 3996, 1589, 3084, 837, 3501, 607, 1576, 1657, 284, 1100, 764, 10698, 319, 262, 1271, 286, 3835, 673, 714, 3283, 656, 24329, 351, 607, 837, 300, 7258, 710, 373, 302, 25782, 257, 880, 12, 34565, 290, 881, 12, 75, 2668, 5337, 422, 257, 4004, 2168, 764, 15506, 300, 84, 5633, 10148, 1169, 2513, 494, 12, 16620, 494, 9105, 319, 262, 401, 1640, 353, 13970, 607, 8469, 992, 351, 285, 1590, 705, 82, 3809, 764, 15506, 644, 318, 340, 837, 285, 558, 5633, 10148, 2290, 12070, 290, 2716, 262, 1561, 4936, 764, 15506, 655, 11263, 611, 345, 705, 67, 1775, 1997, 764, 4598, 345, 892, 597, 286, 606, 481, 1282, 1969, 1576, 329, 514, 284, 766, 5633, 10148, 15506, 1312, 4719, 340, 837, 10148, 300, 7258, 710, 8712, 837, 4634, 607, 1492, 7263, 764, 15506, 1312, 460, 8523, 766, 2354, 837, 772, 351, 262, 1336, 8824, 764, 10148, 15506, 703, 4923, 466, 345, 892, 484, 389, 5633, 10148, 76, 1590, 1816, 319, 764, 15506 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 4627, 82, 9398, 993, 81, 357, 2898, 6269, 5535, 18220, 737, 198, 198, 464, 3989, 318, 41497, 416, 412, 4462, 8220, 287, 262, 6831, 3683, 1222, 29778, 13248, 13, 290, 287, 262, 367, 13, 54, 13, 8127, 3683, 6376, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 12832, 49113, 22790, 3199, 416, 11155, 290, 15273, 198, 3163, 912, 22790, 198, 15823, 12, 16129, 22790, 198, 15202, 602, 4920, 287, 5878, 198, 2898, 6269, 5535, 18220, 198, 23820, 16338, 22790, 1, 54, 11402, 278, 6932, 1, 318, 257, 11104, 3496, 416, 15929, 6960, 11, 3017, 287, 262, 5062, 10204, 13, 383, 3496, 373, 5017, 416, 1605, 14015, 33953, 75, 280, 10026, 13, 198, 198, 5377, 9150, 198, 464, 3496, 373, 3194, 416, 15929, 6960, 13, 11317, 621, 9759, 284, 257, 1103, 30164, 15228, 278, 2613, 11, 262, 15844, 389, 1573, 1759, 290, 262, 3496, 10229, 284, 257, 9280, 393, 2613, 13, 28470, 422, 262, 11104, 5062, 2196, 366, 54, 11402, 278, 6932, 1, 7160, 635, 287, 257, 1180, 2196, 351, 257, 4553, 900, 286, 15844, 13, 198, 198, 20917, 25889, 22471, 319, 262, 33953, 75, 280, 10026, 2196, 11, 543, 2627, 262, 3670, 2610, 286, 262, 42235, 11289, 12, 14463, 5062, 370, 11402, 278, 6932, 13, 4900, 262, 3496, 373, 2716, 416, 10026, 355, 257, 362, 12, 11659, 6458, 2060, 351, 7598, 22261, 6484, 6, 366, 36087, 5706, 2159, 1600, 30702, 750, 407, 2074, 262, 3670, 2610, 262, 1029, 966, 319, 262, 5062, 13, 198, 198, 19927, 198, 198, 25475, 7259, 198, 29354, 6960, 7259, 198, 50, 28079, 3194, 416, 15929, 6960, 198, 44241, 18813, 4635, 416, 15929, 6960, 198, 44241, 18813, 4635, 416, 11271, 78, 10797, 292, 50, 353, 713, 64, 781, 321, 1326, 27315, 318, 257, 4693, 286, 44400, 286, 262, 1641, 9485, 1373, 31718, 13, 632, 318, 1043, 287, 46117, 968, 22777, 13, 198, 198, 1026, 468, 257, 12098, 6839, 286, 2608, 1849, 3020, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 29398, 379, 10758, 10057, 82, 13, 2398, 198, 198, 13807, 541, 292, 11072, 1437, 68, 198, 44, 27118, 286, 46117, 968, 22777, 198, 44, 27118, 3417, 287, 41435, 56, 14220, 488, 400, 893, 318, 257, 34306, 286, 467, 29846, 6868, 284, 262, 17475, 10150, 286, 262, 10596, 7051, 286, 5478, 11, 3942, 10692, 290, 262, 8830, 8211, 10692, 13, 383, 1438, 286, 428, 34306, 3032, 4662, 262, 40565, 7451, 7516, 32839, 575, 14220, 357, 1507, 2079, 12, 28054, 828, 508, 2957, 262, 3878, 32804, 34151, 38076, 286, 35768, 1906, 1129, 1959, 13, 198, 198, 5248, 3171, 198, 1858, 389, 3058, 1115, 8018, 4693, 287, 428, 34306, 25, 198, 575, 14220, 488, 400, 893, 1067, 259, 8254, 357, 7762, 268, 979, 42573, 11, 1248, 2718, 8, 198, 575, 14220, 488, 400, 893, 294, 16911, 72, 357, 33, 2852, 6540, 11, 32811, 8, 198, 575, 14220, 488, 400, 893, 9732, 291, 273, 259, 37834, 357, 37, 30014, 11, 36864, 8, 198, 198, 19927, 198, 198, 38, 13411, 31718, 50, 353, 713, 64, 374, 495, 27315, 318, 257, 4693, 286, 44400, 286, 262, 1641, 9485, 1373, 31718, 13, 632, 318, 1043, 287, 968, 22777, 13, 198, 198, 19927, 198, 198, 13807, 541, 292, 11072, 1437, 68, 198, 44, 27118, 3417, 287, 34463, 2484, 272, 20380, 3232, 12, 35965, 13035, 357, 2484, 272, 20380, 19446, 57, 393, 311, 9792, 57, 828, 8720, 2807, 357, 2484, 272, 20380, 8, 21697, 3232, 12, 35965, 13035, 11, 318, 257, 1479, 12, 25351, 6516, 287, 21865, 11, 2807, 13, 1550, 2534, 2932, 2211, 11, 262, 1812, 4281, 6325, 262, 9323, 286, 262, 6516, 13, 6328, 1927, 5611, 319, 2808, 2693, 2211, 351, 262, 12285, 286, 3999, 9952, 7455, 3873, 80, 15483, 11, 340, 318, 262, 717, 1479, 12, 25351, 6516, 287, 22779, 2807, 290, 8698, 281, 1989, 286, 764, 21865, 19446, 57, 48105, 1440, 4683, 40270, 14123, 287, 262, 4783, 286, 350, 463, 506, 960, 33484, 328, 5488, 80, 13481, 3232, 9601, 13035, 11, 15329, 328, 5488, 80, 13481, 3232, 9601, 5972, 3969, 3250, 11, 10998, 1477, 272, 3232, 9601, 4347, 9498, 290, 350, 463, 506, 12690, 40917, 3232, 9601, 13035, 13, 198, 198, 6385, 2310, 3035, 1853, 11, 262, 6516, 338, 3006, 423, 587, 9902, 284, 2291, 6026, 73, 17890, 9019, 11302, 290, 9601, 13035, 11, 21865, 17297, 80, 13481, 11279, 290, 5429, 2770, 7712, 13035, 357, 36234, 17297, 80, 13481, 36472, 28403, 13035, 8, 290, 19439, 39598, 15902, 12, 17760, 3250, 13, 1550, 718, 2932, 13130, 11, 21865, 19446, 57, 338, 3006, 547, 9902, 757, 284, 2291, 18008, 71, 9019, 968, 2254, 357, 43, 278, 648, 968, 2254, 828, 25116, 648, 22412, 17420, 9498, 11, 28249, 10998, 1477, 272, 7022, 357, 38663, 1477, 272, 4347, 8, 290, 262, 5366, 1735, 286, 350, 463, 506, 12690, 13, 198, 198, 23595, 220, 198, 464, 6516, 318, 852, 973, 355, 257, 4856, 2323, 329, 257, 1271, 286, 3034, 290, 1919, 12506, 13, 1114, 1672, 11, 262, 5466, 286, 2008, 983, 22629, 11, 9301, 287, 2807, 1201, 4751, 11, 481, 307, 3142, 1626, 262, 6516, 13, 2893, 5413, 550, 8998, 379, 1719, 663, 9445, 319, 262, 1910, 416, 2739, 3035, 1946, 11, 340, 4444, 510, 852, 11038, 284, 2693, 2242, 11, 1946, 13, 2893, 6301, 2008, 983, 22629, 373, 8568, 284, 262, 6516, 379, 262, 640, 11, 262, 3958, 319, 2008, 983, 22629, 373, 1568, 13663, 3190, 287, 1853, 13, 198, 198, 7003, 340, 373, 7317, 2098, 326, 262, 6516, 561, 635, 423, 36263, 1895, 284, 262, 5230, 357, 4480, 20075, 319, 5043, 884, 355, 3203, 13663, 828, 262, 1743, 25426, 33061, 3000, 7732, 468, 5081, 326, 4455, 8733, 561, 407, 307, 13663, 13, 198, 198, 6935, 375, 871, 8218, 262, 6516, 389, 407, 2426, 284, 7077, 290, 17112, 19745, 355, 561, 4306, 307, 262, 1339, 13, 770, 468, 587, 257, 38181, 284, 262, 8237, 2831, 287, 2807, 11, 355, 340, 11455, 848, 3816, 517, 13688, 287, 6079, 8237, 656, 262, 1499, 13, 198, 198, 3163, 2545, 1358, 220, 198, 464, 19446, 57, 3033, 257, 18778, 9030, 329, 11047, 6323, 621, 7160, 8057, 287, 2807, 13, 33619, 1358, 287, 262, 6516, 318, 21825, 416, 257, 4553, 900, 286, 33619, 1358, 14252, 4884, 416, 262, 21865, 4037, 33619 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]