Datasets:

sanagnos

/

processed_gpt_dataset_big

like 0

[ 286, 10202, 290, 318, 5140, 655, 5093, 286, 262, 6403, 447, 247, 82, 7611, 13, 220, 632, 318, 530, 286, 262, 14555, 12788, 1589, 7475, 13, 632, 10718, 379, 220, 2029, 5417, 1241, 13, 22661, 36995, 262, 9726, 471, 7644, 618, 15177, 3466, 422, 262, 2059, 286, 10202, 1592, 290, 4245, 11831, 618, 484, 389, 9772, 13, 220, 198, 198, 464, 1743, 1438, 318, 262, 564, 250, 12235, 471, 447, 251, 290, 318, 257, 6823, 16028, 286, 262, 2059, 286, 10202, 13, 198, 198, 18122, 198, 464, 2106, 286, 262, 9726, 471, 6140, 379, 262, 1210, 286, 262, 29112, 4289, 13, 5501, 614, 11, 355, 281, 27220, 3842, 11, 2444, 286, 262, 2059, 286, 10202, 561, 12080, 564, 250, 464, 3327, 447, 251, 357, 35452, 6656, 327, 1252, 8, 290, 7521, 511, 1398, 614, 319, 262, 12269, 485, 13, 383, 3662, 2936, 326, 1223, 517, 7748, 373, 2622, 13, 554, 220, 41435, 262, 2512, 471, 373, 3170, 351, 48520, 13, 383, 471, 318, 625, 1542, 10700, 357, 3064, 1849, 39690, 8, 7331, 290, 468, 257, 4417, 1989, 286, 625, 46839, 6616, 10700, 357, 20, 11, 830, 6616, 3625, 737, 632, 460, 307, 1775, 422, 867, 1180, 3006, 286, 262, 13754, 6233, 6916, 13, 632, 373, 1568, 9518, 287, 15904, 284, 2291, 19755, 7588, 13, 2750, 5878, 262, 9726, 471, 550, 9292, 656, 257, 6937, 1181, 286, 595, 49932, 13, 7945, 1811, 7482, 9262, 416, 2444, 340, 373, 407, 13347, 1231, 257, 517, 9321, 36011, 13, 198, 198, 26764, 17882, 220, 198, 198, 818, 4793, 11, 262, 2059, 286, 10202, 5668, 257, 720, 7029, 11, 830, 19414, 1628, 1900, 355, 366, 26764, 413, 262, 471, 1911, 26089, 49195, 11, 257, 2059, 286, 10202, 435, 4182, 385, 11, 16862, 262, 19414, 1628, 13, 2312, 8561, 2291, 25, 628, 968, 7588, 326, 389, 783, 6856, 832, 257, 12521, 2792, 13, 383, 6973, 389, 5140, 287, 262, 40418, 14044, 2615, 13, 198, 4930, 3470, 290, 16571, 24773, 12, 29728, 1657, 34609, 326, 481, 13527, 2266, 290, 2330, 13, 198, 317, 5391, 647, 3895, 326, 3578, 7588, 284, 7644, 379, 2440, 393, 2793, 17509, 871, 13, 198, 317, 34851, 13054, 2029, 262, 4645, 290, 257, 37664, 1080, 284, 18727, 37536, 290, 2245, 29337, 13, 198, 198, 3260, 262, 36011, 11, 281, 1743, 12019, 10542, 373, 2714, 319, 3267, 642, 11, 4793, 1141, 35185, 286, 262, 4346, 983, 1022, 10202, 290, 44914, 379, 13823, 12, 36, 535, 829, 10499, 13, 198, 198, 15854, 1780, 262, 9726, 471, 220, 198, 464, 9726, 471, 468, 257, 3518, 2209, 286, 1467, 2327, 968, 41540, 1583, 11, 13754, 6233, 2254, 11, 10202, 9508, 15197, 13, 383, 1743, 8025, 2256, 318, 5140, 379, 262, 886, 286, 4186, 993, 19301, 1583, 11, 13754, 6233, 2254, 11, 10202, 9508, 15197, 13, 198, 198, 6214, 635, 198, 56, 9638, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 15580, 654, 290, 8573, 287, 13754, 6233, 2254, 198, 34, 6456, 286, 13754, 6233, 2254, 198, 36369, 5538, 287, 262, 1578, 1829, 198, 21009, 286, 10202, 198, 39152, 396, 29156, 287, 13754, 6233, 2254, 198, 35392, 5895, 287, 262, 1578, 1829, 198, 1129, 2998, 33228, 287, 10202, 21868, 406, 1506, 12818, 357, 6286, 2901, 2681, 11, 16101, 8, 318, 257, 9880, 1605, 4708, 9669, 2137, 13, 18889, 287, 19250, 11, 11287, 11, 339, 318, 220, 290, 339, 2826, 379, 262, 4395, 4860, 2292, 13, 679, 2826, 4152, 9669, 379, 6612, 1812, 2059, 13, 198, 198, 49138, 3451, 198, 43, 1506, 12818, 2826, 287, 5214, 1830, 7403, 351, 8407, 1812, 12090, 11, 287, 262, 9162, 1906, 3865, 1622, 13, 679, 635, 2826, 287, 262, 327, 4339, 290, 262, 314, 9148, 11, 1141, 465, 4708, 3451, 13, 554, 3090, 284, 326, 11, 406, 1506, 12818, 635, 2826, 28049, 287, 2031, 11, 262, 6085, 3115, 4041, 11, 262, 34497, 18612, 4041, 11, 36399, 2351, 4041, 11, 290, 287, 262, 15295, 44459, 3115, 4041, 13, 679, 373, 262, 8312, 1439, 12, 8248, 3776, 338, 21158, 35434, 8414, 8464, 287, 6244, 13, 198, 198, 41506, 6117, 220, 198, 32470, 13, 785, 13118, 198, 32470, 32619, 20595, 198, 45696, 4041, 13118, 220, 198, 44059, 25911, 4041, 7869, 198, 8017, 680, 4041, 13118, 220, 198, 47, 84, 13806, 44459, 4041, 13118, 220, 198, 7792, 3838, 5535, 20595, 198, 198, 41023, 27244, 198, 36376, 661, 198, 7437, 1033, 26646, 378, 9669, 661, 287, 16519, 198, 7437, 1033, 26646, 378, 9669, 661, 287, 10315, 198, 7437, 1033, 26646, 378, 9669, 661, 287, 8031, 198, 7437, 1033, 26646, 378, 9669, 661, 287, 5828, 198, 7437, 1033, 26646, 378, 9669, 661, 287, 16666, 198, 7437, 1450, 338, 9669, 1938, 198, 33, 14575, 1938, 422, 19250, 11, 11287, 198, 31135, 8511, 22242, 1938, 198, 32378, 1812, 12090, 1938, 198, 38, 4948, 77, 459, 1134, 418, 311, 13, 25577, 747, 292, 347, 13, 34, 13, 1938, 198, 31270, 1812, 17662, 9669, 1938, 198, 42, 13, 32, 13, 46, 13, 35, 13, 347, 13, 34, 13, 1938, 198, 33006, 7578, 660, 34004, 1938, 198, 12727, 10942, 198, 19665, 3841, 12469, 1938, 198, 3351, 282, 8254, 64, 347, 11715, 4643, 4450, 1938, 198, 2484, 12494, 10942, 198, 51, 1156, 261, 25360, 10271, 1938, 198, 31319, 30235, 2351, 25911, 5396, 1938, 30507, 3245, 2097, 318, 257, 678, 400, 12, 14792, 4489, 64, 12, 7635, 2156, 287, 262, 9765, 3245, 19495, 286, 20177, 1636, 11, 257, 3240, 290, 33534, 287, 2688, 41588, 11, 4492, 13, 28477, 287, 45440, 319, 262, 7667, 1956, 286, 262, 40422, 10494, 23015, 5366, 286, 262, 1402, 1910, 3240, 286, 20177, 1636, 11, 340, 373, 7083, 1568, 287, 262, 678, 400, 4289, 290, 11513, 656, 257, 1499, 3430, 13, 2293, 2159, 1810, 2873, 11, 20177, 1636, 373, 11032, 257, 968, 8329, 290, 550, 284, 8335, 329, 5801, 11, 14084, 6027, 3349, 13, 9765, 3245, 2097, 373, 7147, 355, 262, 10043, 286, 262, 20177, 1636, 7712, 10501, 11, 290, 2627, 262, 2779, 810, 477, 262, 5370, 326, 14292, 20177, 1636, 338, 2003, 547, 925, 13, 383, 2156, 11, 543, 318, 991, 900, 287, 3952, 1044, 11, 373, 37969, 1348, 290, 11513, 329, 779, 416, 23455, 3961, 287, 2813, 13, 632, 468, 587, 5610, 379, 22653, 2873, 416, 3594, 18518, 329, 663, 27070, 290, 6754 ]

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

[ 1364, 12, 5469, 290, 26815, 11, 290, 468, 257, 5699, 2776, 351, 262, 2520, 5510, 14884, 3615, 290, 3162, 286, 2520, 5510, 9601, 791, 507, 13, 383, 6626, 635, 4602, 10238, 9450, 15733, 1022, 1168, 15712, 290, 1395, 71, 8546, 11636, 11, 7997, 416, 12806, 1168, 7487, 290, 536, 34748, 40001, 39548, 8148, 11, 355, 484, 474, 455, 992, 329, 1964, 15960, 590, 13, 198, 198, 57, 7487, 9253, 4473, 290, 10014, 286, 40001, 39548, 198, 46751, 1168, 7487, 11, 783, 7018, 1893, 286, 262, 46179, 290, 46179, 4540, 329, 1893, 287, 262, 2520, 5478, 379, 262, 3717, 3071, 11, 373, 6476, 9253, 4530, 287, 8695, 284, 257, 5021, 12, 24540, 43720, 5101, 1730, 351, 4141, 11554, 536, 2040, 4912, 357, 4090, 1614, 1166, 536, 600, 737, 1168, 7487, 550, 4271, 587, 11126, 416, 40001, 39548, 355, 2520, 5478, 338, 7927, 12, 22540, 379, 262, 923, 286, 262, 5101, 1730, 4473, 13, 198, 198, 818, 3648, 257, 20533, 6922, 416, 1029, 2184, 5052, 5180, 40365, 1043, 326, 262, 302, 12, 31498, 286, 1168, 7487, 416, 262, 2351, 26233, 278, 11416, 373, 5293, 290, 373, 3318, 2062, 12824, 416, 40001, 39548, 2233, 284, 1964, 21508, 13, 383, 1339, 1028, 1168, 7487, 373, 4145, 11126, 13, 1081, 257, 12921, 286, 262, 5052, 338, 6373, 286, 1964, 14517, 11, 262, 46179, 338, 2351, 10390, 4606, 9167, 262, 10014, 286, 40001, 39548, 355, 262, 1499, 338, 1893, 13, 40001, 39548, 4327, 1068, 465, 18525, 319, 2310, 2693, 3648, 290, 262, 18525, 2627, 1743, 319, 1679, 2693, 13, 4650, 1866, 286, 40001, 39548, 338, 13447, 16542, 511, 6851, 379, 262, 976, 640, 287, 17803, 11, 1390, 7927, 12, 22540, 1380, 388, 89, 576, 337, 2543, 2127, 12, 45, 36484, 14852, 290, 584, 4664, 13447, 14138, 13, 198, 198, 464, 10014, 286, 40001, 39548, 3181, 284, 262, 1674, 32857, 278, 15733, 1626, 262, 46179, 13, 1550, 2242, 2693, 5826, 16115, 12162, 406, 988, 4265, 3414, 326, 339, 550, 4983, 262, 46179, 351, 366, 7146, 8387, 9473, 1, 290, 319, 807, 3267, 3414, 326, 257, 2260, 9831, 561, 307, 2714, 284, 2112, 262, 2003, 286, 2520, 5510, 4819, 290, 262, 1744, 9978, 286, 257, 649, 1964, 3356, 13, 198, 198, 43, 988, 4265, 338, 869, 581, 6302, 351, 867, 40001, 39548, 5941, 508, 2067, 22786, 287, 511, 10931, 602, 284, 262, 46179, 284, 4654, 406, 988, 4265, 338, 3356, 13, 1892, 540, 10931, 602, 2291, 883, 286, 1966, 402, 2306, 1516, 18256, 337, 34369, 1031, 8083, 911, 346, 8455, 11, 1966, 4885, 15725, 5342, 286, 3747, 290, 2324, 20131, 7431, 25864, 461, 1531, 290, 337, 75, 2261, 4106, 4502, 13, 27497, 262, 1499, 867, 3218, 46179, 1866, 635, 10158, 287, 511, 10931, 602, 287, 1171, 18721, 11, 9482, 511, 46179, 9931, 4116, 13, 383, 18525, 3356, 581, 6302, 3573, 287, 17812, 287, 543, 612, 547, 1541, 30778, 287, 262, 46179, 4645, 11, 884, 355, 262, 4885, 15725, 13, 198, 198, 3103, 4018, 290, 9978, 286, 649, 2151, 198, 464, 9831, 1444, 416, 406, 988, 4265, 373, 2714, 287, 3837, 1122, 319, 352, 3389, 3648, 13, 18451, 329, 604, 11, 830, 15265, 625, 734, 1528, 11, 262, 4495, 4191, 12007, 625, 642, 11, 830, 11, 351, 617, 661, 407, 1498, 284, 651, 656, 262, 14359, 11, 290, 373, 34464, 284, 530, 1110, 284, 3368, 31818, 284, 883, 15265, 508, 550, 12062, 284, 2652, 13417, 13, 198, 464, 4495, 373, 9141, 416, 1688, 1964, 5538, 11, 1390, 15265, 422, 584, 1964, 4671, 13, 383, 46179, 750, 407, 3758, 257, 22635, 284, 262, 4495, 13, 198, 198, 14291, 262, 4495, 406, 22788, 71, 521, 318, 262, 4697, 1438, 286, 20341, 71, 4563, 71, 22982, 571, 13, 632, 318, 22765, 319, 262, 12517, 284, 30693, 382, 14914, 13, 632, 468, 257, 3265, 286, 546, 3126, 11, 23, 4349, 198, 13, 632, 318, 783, 257, 4783, 10043, 287, 262, 1181, 286, 33328, 26, 262, 1438, 286, 262, 4783, 318, 20341, 71, 4563, 71, 22982, 571, 13, 198, 198, 51, 343, 70, 1045, 7526, 220, 198, 1026, 37453, 663, 1438, 2192, 422, 311, 958, 521, 10134, 11, 257, 14893, 326, 1864, 284, 12372, 993, 321, 4449, 8704, 357, 2885, 43367, 12, 5774, 828, 25866, 5183, 3409, 71, 5350, 11, 1752, 30671, 428, 636, 286, 262, 1499, 13, 4784, 284, 679, 48441, 13146, 648, 11, 262, 3999, 49130, 508, 8672, 3794, 1141, 262, 14024, 4289, 11, 7361, 71, 521, 373, 262, 3139, 286, 262, 4783, 286, 41356, 313, 43348, 11, 393, 911, 265, 324, 622, 357, 1169, 5866, 45220, 293, 73, 828, 543, 373, 546, 4751, 367, 393, 642, 2091, 10571, 287, 10349, 13, 383, 911, 265, 324, 622, 26303, 1483, 12412, 2627, 636, 286, 262, 5909, 13239, 1444, 833, 328, 265, 286, 543, 28649, 392, 9869, 373, 262, 3139, 13, 198, 198, 9921, 14671, 25466, 220, 198, 2953, 262, 640, 286, 262, 6531, 1022, 262, 17099, 1530, 32810, 21557, 290, 262, 9663, 24925, 286, 11972, 1031, 8461, 11, 7361, 71, 521, 373, 281, 1593, 38327, 319, 262, 10183, 27580, 286, 262, 17099, 1530, 32810, 13735, 13, 2080, 262, 36246, 286, 511, 7674, 739, 262, 11972, 1031, 77, 1699, 36847, 11, 262, 17099, 1530, 32810, 3139, 373, 14869, 287, 8949, 17, 284, 7361, 71, 521, 11, 810, 340, 6150, 10597, 262, 1918, 286, 833, 18526, 3147, 18596, 11, 262, 938, 6922, 5822, 286, 262, 30968, 13, 1629, 262, 1969, 286, 262, 665, 44659, 4289, 11, 262, 3240, 373, 12030, 416, 262, 49628, 71, 504, 13, 5856, 262, 800, 39327, 286, 15870, 11972, 10145, 11, 7361, 71, 521, 11, 1863, 351, 24967, 22261, 11, 27276, 262, 749, 1593, 2422, 38327, 286, 1736, 342, 8903, 13308, 49628, 7637, 11, 262, 938, 13308, 1996, 22740, 286, 12517, 13, 4698, 262, 38795, 21557, 11, 7361, 71, 521, 27276, 530, 286, 262, 2237, 22414, 17397, 286, 262, 33328, 13, 554, 262, 640, 286, 10851, 9084, 5657, 262, 8976, 11684, 286, 3825, 321, 290, 3409, 2271, 547, 21267, 3898, 284, 340, 290, 3017, 287, 644, 373, 1444, 7361, 71, 521, 264, 668, 283, 286, 262, 3834, 993, 286, 12517, 13, 632, 373, 1006, 6302, 416, 10851, 36425, 10277, 18381, 309, 6724, 5031, 80, 287, 1511, 5333, 5984, 379, 262, 49672, 286, 13816, 88, 312 ]

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

[ 72, 3332, 612, 329, 1811, 890, 7188, 837, 2045, 503, 625, 262, 14470, 379, 262, 1364, 12, 42200, 900, 286, 10012, 764, 270, 550, 587, 523, 881, 4577, 618, 1312, 373, 262, 17481, 764, 43582, 1440, 763, 293, 428, 373, 508, 1312, 373, 837, 783, 326, 1312, 373, 257, 547, 18829, 1058, 1312, 373, 763, 293, 336, 13, 537, 958, 837, 290, 1312, 973, 284, 307, 299, 668, 313, 9232, 764, 72, 550, 1807, 612, 705, 67, 307, 2147, 1364, 286, 502, 837, 1752, 345, 1718, 1497, 262, 33919, 12702, 286, 299, 668, 313, 9232, 290, 262, 26557, 286, 257, 1178, 3470, 7319, 3296, 290, 257, 11845, 2042, 351, 4205, 9667, 764, 4360, 994, 340, 373, 837, 1933, 1568, 837, 290, 340, 2900, 503, 326, 612, 373, 4713, 4168, 14638, 262, 629, 397, 1312, 705, 67, 6497, 572, 764, 2197, 837, 1312, 373, 257, 4336, 286, 262, 2829, 35396, 287, 1204, 1058, 34240, 9891, 29777, 1231, 2042, 5104, 4657, 319, 262, 20048, 837, 21029, 326, 750, 299, 470, 25394, 262, 1365, 3354, 286, 502, 837, 281, 11111, 286, 36279, 837, 3478, 284, 14104, 2250, 286, 3993, 764, 72, 373, 299, 470, 1654, 703, 318, 9608, 4197, 656, 428, 764, 1169, 1517, 373, 837, 1312, 714, 467, 749, 286, 616, 1285, 1231, 3612, 546, 34240, 9891, 290, 36279, 764, 4360, 1312, 714, 299, 470, 1283, 284, 910, 262, 976, 1517, 546, 318, 9608, 764, 270, 373, 299, 470, 588, 9623, 1110, 25966, 82, 837, 2035, 837, 262, 922, 3297, 286, 34691, 764, 270, 373, 517, 588, 474, 735, 49700, 764, 361, 345, 547, 1107, 8179, 837, 345, 714, 2048, 6044, 546, 340, 837, 475, 788, 618, 345, 5025, 3867, 837, 340, 373, 5123, 764, 28177, 734, 1933, 290, 407, 257, 8033, 422, 607, 837, 3805, 257, 1271, 286, 4457, 17774, 40268, 368, 1768, 319, 616, 636, 764, 13038, 291, 12888, 1303, 352, 1058, 7559, 23105, 837, 318, 9608, 10845, 431, 525, 764, 72, 716, 9105, 287, 616, 3996, 837, 2045, 379, 262, 13387, 764, 72, 716, 4632, 12105, 764, 72, 716, 3612, 286, 2644, 534, 2802, 764, 13345, 502, 764, 10148, 392, 783, 673, 1444, 5633, 3919, 835, 764, 72, 714, 299, 470, 2652, 287, 262, 2156, 351, 262, 3072, 2045, 379, 502, 588, 326, 837, 523, 1312, 1392, 616, 10012, 290, 9153, 503, 656, 262, 6672, 764, 20777, 1312, 705, 67, 2077, 11542, 1497, 422, 262, 4436, 837, 1312, 705, 67, 2067, 18894, 2252, 656, 21611, 644, 925, 514, 23214, 764, 1456, 287, 262, 24484, 837, 612, 373, 645, 835, 284, 804, 379, 514, 739, 262, 36396, 290, 651, 1103, 7429, 764, 4360, 1312, 705, 67, 6027, 503, 257, 1178, 10256, 326, 750, 299, 470, 2421, 257, 2248, 532, 655, 8458, 837, 616, 1767, 837, 290, 617, 11333, 764, 392, 530, 286, 531, 10256, 561, 1107, 1057, 1365, 611, 1312, 714, 651, 616, 2832, 319, 530, 286, 262, 584, 23214, 764, 568, 1312, 705, 67, 587, 1642, 329, 592, 656, 262, 8222, 764, 37739, 837, 302, 535, 444, 764, 5562, 373, 644, 2210, 273, 973, 284, 869, 674, 2739, 12, 3847, 15607, 3650, 4539, 284, 2822, 289, 7833, 13840, 12006, 286, 7309, 290, 16577, 9891, 10525, 3255, 764, 72, 373, 9489, 302, 535, 444, 656, 18645, 4898, 837, 287, 262, 1438, 286, 3783, 764, 72, 2936, 20232, 284, 5461, 644, 1312, 705, 67, 2067, 764, 13038, 291, 12888, 1303, 362, 1058, 262, 717, 5664, 290, 12277, 4201, 286, 7559, 1312, 705, 303, 1392, 20486, 651, 257, 3275, 284, 345, 10148, 416, 262, 20697, 308, 2841, 764, 40838, 837, 262, 6193, 373, 5814, 290, 1312, 714, 8508, 5543, 2279, 326, 550, 1683, 613, 276, 287, 262, 16479, 764, 72, 7425, 572, 319, 616, 6678, 3108, 764, 1073, 293, 837, 340, 705, 82, 502, 764, 25344, 837, 1312, 373, 1016, 7165, 764, 361, 340, 373, 299, 470, 318, 9608, 705, 82, 3809, 837, 340, 373, 2210, 273, 705, 82, 837, 290, 340, 373, 1972, 257, 1310, 18012, 2641, 616, 1182, 764, 361, 1312, 373, 299, 470, 34140, 10829, 318, 9608, 705, 82, 8290, 837, 1312, 373, 4684, 262, 3072, 284, 5858, 837, 290, 611, 1312, 373, 299, 470, 1804, 326, 837, 1312, 373, 24865, 318, 9608, 705, 82, 2988, 442, 19296, 2210, 273, 705, 82, 2636, 1767, 4291, 262, 33515, 764, 259, 1022, 606, 290, 6072, 837, 1312, 373, 2877, 351, 1115, 25899, 764, 13038, 291, 12888, 1303, 513, 1058, 7559, 1312, 705, 76, 17533, 764, 72, 761, 284, 307, 34988, 764, 37687, 318, 285, 15816, 764, 72, 743, 1494, 683, 351, 465, 898, 10047, 764, 270, 561, 1577, 502, 1223, 284, 466, 290, 635, 787, 683, 910, 1223, 764, 11545, 10087, 351, 530, 7815, 5145, 72, 1064, 477, 777, 1468, 14700, 38347, 6590, 764, 2339, 837, 5858, 1088, 262, 686, 1837, 764, 5562, 705, 82, 546, 262, 23684, 837, 750, 345, 760, 5633, 1659, 1781, 345, 750, 764, 1169, 23684, 318, 837, 588, 837, 534, 4697, 16933, 764, 20342, 837, 857, 6072, 1561, 284, 345, 5633, 258, 1139, 14509, 7510, 284, 502, 764, 25344, 837, 1312, 705, 76, 17533, 764, 13345, 502, 764, 10148, 82, 2616, 411, 764, 72, 373, 1016, 284, 892, 546, 616, 10256, 2427, 764, 50106, 257, 17481, 373, 6225, 503, 284, 307, 8131, 8253, 764, 3500, 5563, 1043, 287, 262, 17012, 286, 47673, 705, 82, 2156, 837, 1312, 705, 67, 31043, 510, 257, 3236, 1271, 286, 264, 2616, 411, 837, 20348, 837, 40382, 837, 290, 300, 942, 837, 290, 550, 4978, 281, 8603, 3236, 1271, 286, 4695, 764, 1662, 257, 2060, 2888, 286, 460, 271, 300, 929, 385, 764, 270, 373, 1327, 284, 910, 543, 373, 517, 20072, 803, 532, 16508, 1865, 1194, 13894, 5044, 393, 22714, 503, 257, 835, 284, 651, 340, 503, 286, 262, 12840, 393, 3013, 533, 1231, 6078, 257, 1021, 393, 281, 4151, 764, 72, 373, 1972, 845, 3049, 764, 1073, 293, 837, 340, 705, 82, 502, 764, 72, 714, 299, 470, 1975, 326, 706, 477, 428, 640, 837, 673, 550, 1444, 736, 837, 290, 607, 717, 2456, 550, 299, 470, 587, 617, 1296, 286, 17029, 764, 25991, 326, 636, 373, 2406, 1306, 837, 290, 1312, 705, 67, 6825, 340, 416, 10938, 510, 764, 13038, 291, 12888 ]

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

[ 13407, 8, 198, 8451, 1435, 25, 314, 16168, 5896, 290, 6708, 3213, 685, 17, 87, 19930, 1220, 6458, 3100, 541, 441, 60, 357, 13330, 11, 569, 696, 72, 8653, 8, 198, 4162, 2094, 470, 921, 13786, 632, 1675, 2185, 30, 357, 12726, 11, 29606, 12, 45, 2541, 874, 633, 13407, 8, 198, 4162, 23306, 470, 921, 3914, 2185, 1355, 2619, 30, 357, 10531, 11, 29606, 12, 45, 2541, 874, 633, 13407, 8, 198, 198, 29974, 829, 198, 366, 3666, 4586, 17349, 2080, 921, 1, 1220, 366, 3666, 7703, 49825, 1, 357, 1129, 5333, 8, 20425, 642, 3682, 198, 366, 42074, 496, 286, 5896, 1, 1220, 366, 40, 16168, 257, 14381, 1, 357, 1129, 5237, 8, 20425, 642, 2231, 26, 1578, 37599, 604, 2920, 198, 366, 42633, 889, 5896, 1, 1220, 366, 35087, 2185, 28043, 1, 357, 1129, 5237, 8, 20425, 642, 2857, 26, 1578, 50241, 10831, 357, 6286, 1757, 36815, 1024, 13729, 68, 26, 3426, 1467, 11, 35768, 8, 318, 281, 1605, 8674, 290, 26479, 11, 1900, 329, 465, 9176, 355, 22925, 13, 5689, 9765, 33500, 319, 262, 3195, 2168, 1982, 18839, 290, 355, 21636, 309, 394, 319, 262, 2656, 12350, 32712, 283, 5027, 529, 3970, 13, 198, 198, 20457, 1204, 198, 49958, 373, 4642, 287, 12232, 11, 968, 1971, 2254, 13, 2399, 2802, 11, 21279, 11, 373, 257, 6868, 286, 262, 32022, 2066, 11, 290, 465, 2988, 11, 3977, 1024, 13729, 68, 11, 373, 286, 12335, 24605, 290, 5510, 12, 7437, 18598, 508, 12228, 257, 5243, 9185, 1597, 13, 10831, 18303, 422, 520, 4669, 1158, 415, 3334, 3961, 287, 13458, 287, 22717, 13, 679, 9141, 9055, 5535, 11, 6182, 2059, 11, 290, 471, 13, 34, 13, 43, 13, 32, 13, 878, 13748, 257, 33399, 286, 5800, 4922, 422, 15209, 18160, 2059, 13, 10831, 1364, 520, 13, 1757, 338, 2059, 3961, 286, 3854, 706, 734, 812, 284, 1716, 281, 8674, 13, 198, 198, 6398, 278, 3451, 198, 49958, 8618, 21421, 1998, 287, 1811, 32260, 319, 262, 20617, 290, 572, 12, 30507, 1014, 3800, 13, 2399, 20617, 10824, 2291, 2712, 262, 4257, 1085, 6697, 3668, 64, 43670, 287, 262, 711, 9074, 13, 27042, 290, 9489, 262, 3670, 2597, 287, 262, 10530, 3131, 85, 7329, 4496, 31767, 18891, 13, 198, 198, 4863, 17672, 284, 15963, 11, 10831, 3111, 355, 257, 5041, 649, 1416, 1603, 329, 36245, 57, 12, 6849, 287, 6182, 11, 810, 339, 2627, 281, 18021, 12, 260, 26634, 13, 2773, 4237, 531, 339, 373, 262, 995, 338, 717, 2042, 3195, 1705, 805, 13, 220, 5856, 465, 1115, 12, 1941, 22966, 11, 339, 635, 4983, 355, 968, 4492, 5581, 338, 717, 2042, 4756, 12, 3847, 3807, 290, 13766, 4014, 13, 220, 4900, 36245, 57, 531, 339, 16542, 422, 262, 4429, 11, 10831, 1297, 262, 2042, 1803, 326, 339, 550, 587, 6294, 11, 780, 2688, 278, 4803, 357, 4758, 6898, 36245, 57, 8, 29811, 284, 465, 2614, 9750, 287, 6409, 2055, 4493, 13, 2399, 12928, 1364, 6182, 1231, 597, 2042, 3195, 1705, 7638, 13, 198, 198, 49958, 635, 13134, 287, 6409, 3195, 2168, 11, 38102, 11, 290, 32010, 7328, 13, 10831, 373, 257, 3218, 3350, 2888, 286, 383, 4543, 4243, 690, 5438, 357, 47568, 306, 1900, 355, 26541, 24207, 7204, 828, 12655, 355, 18367, 83, 13, 13691, 494, 20874, 805, 287, 10495, 8640, 1022, 25325, 290, 705, 3270, 13, 10831, 2826, 38660, 10018, 494, 18918, 287, 257, 17575, 4471, 286, 262, 9738, 10512, 24942, 6252, 13, 554, 17672, 339, 373, 262, 691, 2042, 8674, 284, 423, 257, 2597, 287, 262, 2159, 1810, 2873, 10512, 14487, 43179, 679, 2826, 262, 636, 286, 4287, 10391, 22792, 7100, 287, 262, 16489, 1751, 338, 2646, 3932, 7285, 13, 679, 318, 1266, 1900, 19765, 329, 465, 763, 12, 7364, 1806, 2597, 355, 21636, 309, 394, 287, 262, 2968, 3783, 12, 24046, 3195, 2168, 12350, 32712, 283, 5027, 529, 3970, 13, 679, 373, 6198, 3350, 355, 21586, 3248, 12057, 11, 475, 373, 2005, 1708, 257, 24471, 33051, 5778, 326, 34051, 465, 19847, 13, 2293, 13586, 10831, 351, 34858, 15375, 11, 7504, 1539, 9920, 20716, 317, 13, 42630, 2427, 4438, 14286, 10831, 262, 2597, 286, 21636, 309, 394, 11, 1218, 287, 3141, 286, 262, 34232, 12985, 11026, 286, 5788, 5748, 13, 10831, 635, 31636, 355, 16902, 29594, 338, 5212, 11, 366, 7089, 30205, 5689, 9765, 33500, 1, 287, 262, 20775, 2168, 1982, 18839, 329, 3598, 812, 13, 679, 2826, 6697, 24497, 402, 5277, 287, 262, 6268, 4286, 5426, 88, 4373, 13, 679, 2826, 262, 2597, 286, 7688, 4039, 366, 21607, 34199, 1, 287, 11582, 11, 257, 28061, 2223, 12, 324, 5388, 14023, 2646, 357, 18946, 737, 3125, 2904, 11, 10831, 550, 257, 24824, 2597, 287, 12696, 24088, 11, 15238, 338, 749, 2968, 19533, 27296, 11, 355, 22912, 309, 891, 2743, 11, 281, 47689, 19834, 290, 2988, 286, 530, 286, 262, 1388, 3435, 13, 198, 198, 35027, 3451, 290, 1568, 1204, 198, 818, 15231, 11, 10831, 2067, 257, 1402, 5401, 5652, 12017, 11, 30277, 14, 19, 25315, 11, 3457, 13, 329, 543, 339, 4635, 290, 7924, 7593, 290, 9856, 27709, 319, 2646, 290, 35026, 1758, 329, 262, 2717, 1230, 13, 10831, 318, 1893, 286, 4281, 329, 33733, 5382, 11, 3457, 1539, 257, 1729, 12, 9183, 4009, 339, 7042, 287, 13521, 11, 7256, 284, 27496, 987, 30844, 290, 493, 567, 400, 6988, 4547, 832, 2709, 16664, 271, 723, 6946, 13, 4698, 262, 6745, 338, 45062, 1063, 11, 10831, 468, 4635, 290, 7924, 5764, 12, 14463, 10092, 290, 11648, 4056, 329, 10470, 319, 30051, 290, 6082, 8688, 13, 198, 198, 4653, 12609, 4493, 198, 32719, 44588, 41317, 784, 10074, 286, 3162, 198, 317, 362, 12, 23141, 1711, 10470, 286, 262, 9280, 8173, 286, 17911, 7451, 12, 354, 382, 18539, 32719, 44588, 13, 7557, 276, 416, 262, 12528, 271, 11083, 3178, 4674, 5693, 11, 428, 2008, 11648, 318, 3562, 284, 4691, 355, 257, 2050, 5698, 329, 9280, 7799, 11, 9123, 290, 35837, 11, 355, 636, 286, 262, 32719, 44588, 14843, 4935, 286, 262, 10074, 286, 3162, 13, 220, 554, 2321, 11, 14286, 10831, 2716, 383, 32719, 44588, 41317, 355, 257, 12490, 13, 198, 317, 11083, 34441, 412, 2680, 1122, 532, 370, 12884, 12, 6849, 357, 47, 4462, 828, 1605, 15812, 7171, 357, 26709, 8, 198, 770, 734 ]

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

[ 257, 18666, 764, 15506, 345, 1718, 257, 22574, 286, 257, 11226, 764, 5832, 423, 42232, 8347, 837, 290, 534, 736, 11699, 318, 2192, 15403, 355, 880, 764, 72, 705, 76, 7787, 691, 640, 318, 1016, 284, 1037, 351, 326, 837, 10148, 673, 2087, 8453, 16877, 764, 15506, 475, 356, 460, 466, 1223, 546, 257, 14643, 764, 5171, 345, 2513, 319, 534, 898, 837, 393, 2236, 1312, 1037, 345, 5633, 10148, 15506, 1312, 460, 6687, 837, 10148, 1188, 18287, 13933, 607, 764, 15506, 788, 1061, 502, 837, 10148, 443, 394, 531, 837, 6225, 319, 607, 24703, 764, 7091, 9153, 329, 257, 3420, 319, 262, 584, 1735, 286, 262, 3996, 837, 4375, 837, 7559, 262, 10453, 815, 299, 470, 938, 890, 764, 5832, 2626, 257, 1256, 286, 2910, 878, 674, 6253, 714, 651, 345, 384, 675, 510, 837, 475, 673, 2921, 345, 257, 3155, 286, 279, 29503, 284, 6330, 340, 878, 15430, 345, 284, 47375, 287, 262, 21628, 764, 8548, 7549, 837, 1022, 326, 290, 262, 1109, 326, 345, 691, 12605, 257, 11222, 11699, 837, 345, 815, 2952, 21509, 534, 4202, 290, 1254, 517, 3511, 764, 10148, 2100, 18287, 750, 299, 470, 2912, 837, 475, 9885, 443, 394, 373, 826, 764, 7091, 373, 1541, 4203, 1342, 35335, 837, 290, 9885, 706, 257, 14643, 290, 617, 2057, 673, 705, 67, 1254, 1365, 991, 764, 7091, 714, 299, 470, 4043, 764, 4360, 673, 635, 550, 617, 2683, 764, 15506, 428, 3338, 2156, 12, 10148, 7559, 318, 616, 1363, 837, 10148, 443, 394, 531, 355, 673, 4721, 262, 3420, 290, 2957, 607, 656, 257, 12436, 24789, 287, 3223, 23787, 286, 4171, 764, 19913, 257, 8212, 625, 607, 8163, 837, 673, 2087, 837, 7559, 880, 837, 6164, 290, 616, 5229, 705, 82, 837, 17115, 666, 764, 258, 4539, 262, 5394, 1074, 326, 7082, 284, 534, 16679, 869, 764, 10148, 7091, 24487, 290, 788, 2900, 284, 1188, 18287, 284, 9159, 837, 7559, 880, 837, 1682, 5596, 22723, 318, 262, 530, 287, 3877, 286, 262, 1450, 837, 475, 339, 7429, 284, 17115, 666, 764, 10148, 7091, 28271, 764, 15506, 6949, 837, 484, 1043, 262, 584, 1466, 287, 262, 17012, 290, 788, 16499, 290, 1043, 345, 287, 262, 37413, 764, 9930, 1718, 262, 584, 1466, 284, 262, 551, 45515, 2156, 837, 475, 3181, 345, 994, 523, 262, 6253, 714, 4327, 345, 764, 270, 705, 82, 329, 262, 1266, 837, 10148, 673, 2087, 2952, 618, 1188, 18287, 32198, 379, 262, 3725, 326, 673, 705, 67, 587, 11266, 422, 262, 584, 1466, 764, 15506, 612, 547, 299, 470, 1576, 20237, 379, 262, 551, 45515, 2156, 329, 477, 286, 345, 290, 428, 835, 345, 714, 651, 517, 1981, 3241, 764, 10148, 2100, 18287, 18397, 290, 14464, 837, 475, 1965, 837, 7559, 1521, 407, 257, 4436, 5633, 10148, 15506, 534, 12668, 11463, 1392, 1497, 290, 484, 547, 7787, 345, 561, 299, 470, 307, 3338, 287, 257, 4436, 837, 10148, 443, 394, 531, 12703, 764, 2100, 18287, 15175, 2945, 379, 428, 1705, 764, 7091, 705, 67, 2923, 220, 36274, 837, 475, 465, 6478, 837, 262, 530, 2157, 477, 286, 262, 220, 2171, 326, 550, 307, 7207, 268, 607, 837, 550, 1392, 1497, 351, 340, 764, 1559, 286, 257, 21551, 764, 15506, 345, 705, 260, 3338, 994, 837, 10148, 443, 394, 531, 764, 15506, 17115, 666, 24486, 299, 470, 1309, 1997, 1645, 284, 345, 764, 10148, 2100, 18287, 750, 299, 470, 2912, 764, 7091, 373, 517, 28674, 621, 7960, 546, 262, 6654, 286, 220, 36274, 705, 82, 6478, 764, 7091, 1244, 423, 587, 13642, 503, 290, 17901, 572, 1752, 837, 475, 673, 561, 299, 470, 1249, 340, 284, 1645, 757, 764, 392, 673, 581, 4714, 262, 1109, 326, 262, 31030, 550, 1392, 1497, 351, 340, 764, 4919, 964, 837, 612, 373, 2147, 673, 714, 466, 546, 326, 837, 523, 673, 7121, 262, 6066, 1497, 355, 443, 394, 531, 837, 7559, 1312, 705, 297, 2666, 345, 3436, 284, 1011, 534, 7837, 764, 10148, 15506, 1312, 705, 67, 2138, 14643, 621, 7365, 258, 837, 10148, 673, 531, 351, 257, 18288, 558, 764, 42342, 24487, 379, 262, 3420, 290, 2900, 284, 1986, 1188, 18287, 764, 15506, 1312, 705, 76, 7926, 837, 475, 340, 705, 82, 1365, 611, 345, 7365, 258, 428, 640, 764, 5832, 389, 299, 470, 845, 11831, 319, 534, 3625, 290, 1312, 466, 299, 470, 765, 345, 284, 13819, 287, 262, 14643, 290, 751, 284, 262, 42232, 290, 34029, 345, 1541, 423, 764, 65, 11788, 837, 288, 3216, 531, 345, 547, 299, 470, 284, 651, 534, 4097, 1095, 9583, 290, 428, 318, 262, 16638, 835, 284, 4155, 326, 764, 10148, 15506, 288, 3216, 5633, 10148, 2100, 18287, 1965, 764, 15506, 1553, 13, 288, 3216, 49319, 907, 837, 10148, 443, 394, 4893, 764, 15506, 673, 705, 82, 262, 530, 508, 384, 19103, 345, 510, 290, 1718, 1337, 286, 345, 764, 10148, 15506, 11752, 837, 10148, 1188, 18287, 38023, 1522, 837, 788, 21893, 290, 3888, 284, 262, 12202, 284, 900, 262, 3995, 2848, 290, 1210, 319, 262, 34531, 837, 4517, 20212, 837, 7559, 1312, 11691, 257, 7837, 481, 423, 284, 466, 788, 764, 10148, 42342, 13541, 49057, 379, 607, 1036, 14739, 837, 290, 3888, 625, 284, 2824, 257, 13502, 44905, 290, 24808, 422, 262, 6508, 3526, 13970, 262, 14595, 837, 2282, 837, 7559, 262, 47259, 837, 4006, 263, 837, 290, 19533, 389, 319, 262, 1735, 286, 262, 12202, 764, 10148, 15506, 5875, 345, 837, 10148, 1188, 18287, 531, 837, 2263, 262, 24808, 290, 13502, 44905, 422, 607, 764, 15506, 345, 705, 260, 7062, 764, 72, 4724, 1312, 705, 297, 2666, 345, 284, 340, 788, 837, 10148, 443, 394, 531, 14042, 2759, 837, 3867, 284, 262, 3420, 764, 15506, 466, 299, 470, 6044, 345, 389, 299, 470, 4385, 284, 651, 534, 4097, 1095, 9583, 837, 523, 345, 466, 299, 470, 765, 262, 1660, 1165, 2769, 764, 72, 705, 297, 2652, 287, 262, 14043, 287, 1339, 345, 1057, 656, 597, 2761, 764, 88, 695, 611, 345, 761, 502, 764, 10148, 2100, 18287, 531, 837, 7559, 5875, 345, 837, 10148, 757, 355, 262, 3420, 4838, 837, 788, 2900, 284, 5526, 262, 7837, 764, 1169, 1660, 373, 2048, 19487, 510, 262, 12202, 290, 326, 373, 1231, 607, 287, 340, 764, 7091, 900, 262, 24808, 290, 13502 ]

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

[ 1906, 4761, 30655, 5498, 4041, 357, 56, 8634, 8, 355, 14591, 286, 262, 734, 1218, 1241, 17397, 3687, 290, 2688, 13, 383, 4652, 373, 24163, 287, 257, 4274, 2835, 3857, 259, 5794, 11, 351, 1123, 3430, 2712, 790, 584, 3430, 5403, 11, 329, 257, 2472, 286, 4974, 9196, 13, 4930, 2173, 547, 11343, 329, 7864, 290, 530, 966, 329, 14293, 13, 198, 198, 15546, 8461, 46195, 4106, 13685, 11433, 73, 1990, 330, 290, 46465, 1526, 571, 273, 547, 36391, 422, 262, 16382, 1906, 4761, 30655, 3274, 4041, 706, 12848, 262, 1622, 287, 4220, 734, 4113, 286, 262, 4652, 3084, 13, 220, 383, 734, 9784, 13722, 284, 1353, 1241, 547, 12182, 290, 20711, 461, 3834, 313, 3970, 13, 198, 198, 24623, 3084, 198, 198, 25468, 198, 198, 16643, 768, 8244, 198, 1925, 4350, 198, 7738, 2907, 3944, 9526, 198, 198, 57, 31884, 9261, 2926, 1990, 72, 38325, 198, 41, 22590, 317, 38325, 44273, 72, 38325, 198, 57, 31884, 21631, 377, 330, 198, 53, 9435, 3044, 615, 21555, 72, 38325, 1990, 72, 38325, 198, 42, 7058, 2141, 73, 46195, 259, 709, 20545, 198, 29665, 296, 343, 10343, 73, 21862, 72, 38325, 198, 24857, 22590, 34754, 238, 10145, 38325, 198, 11122, 672, 45561, 449, 962, 47297, 38325, 198, 129, 121, 452, 273, 324, 3852, 701, 72, 38325, 198, 40979, 5708, 449, 22590, 47297, 38325, 198, 32140, 3044, 615, 9375, 17053, 220, 198, 44, 4449, 282, 73, 17337, 72, 198, 9414, 962, 78, 509, 11925, 21862, 20545, 198, 25803, 283, 509, 15104, 11601, 38325, 64, 198, 53, 13210, 259, 22807, 533, 8903, 38325, 198, 35660, 32790, 272, 11271, 11106, 38325, 198, 44, 576, 5267, 21862, 72, 38325, 198, 41541, 4951, 18809, 24081, 27086, 72, 38325, 198, 37474, 591, 392, 283, 5961, 1228, 313, 47297, 38325, 198, 53, 9435, 13057, 36863, 8903, 38325, 220, 198, 46, 4593, 13881, 36863, 8903, 38325, 220, 198, 50, 1329, 1778, 32790, 72, 38325, 198, 57, 31884, 24600, 47297, 38325, 220, 198, 6187, 7329, 360, 129, 122, 26436, 38325, 198, 198, 9126, 4776, 3808, 198, 198, 6214, 635, 198, 41023, 1906, 4790, 30655, 5498, 4041, 198, 198, 41506, 6117, 198, 198, 56, 1018, 26388, 544, 29015, 9957, 6462, 33220, 198, 198, 56, 1018, 26388, 3274, 4041, 7028, 198, 56, 1018, 78, 198, 41023, 1906, 4790, 287, 30655, 4346, 43, 692, 743, 3522, 284, 25, 628, 7152, 378, 46478, 11, 33013, 198, 44611, 46478, 357, 6286, 17575, 828, 2679, 2553, 17411, 11514, 18279, 396, 220, 198, 42375, 286, 300, 692, 11, 257, 2176, 17173, 12708, 10159, 4006, 5924, 416, 21354, 14891, 379, 5417, 198, 198, 6214, 635, 220, 198, 35513, 198, 44841, 357, 6381, 4131, 328, 2288, 8, 464, 288, 15668, 544, 281, 368, 505, 357, 16692, 13370, 1437, 10756, 1437, 8, 318, 257, 5417, 281, 368, 505, 1043, 287, 262, 5093, 10596, 10692, 11, 262, 2258, 6896, 290, 262, 32882, 6896, 13, 6363, 9568, 318, 7885, 11, 422, 2769, 2266, 284, 7586, 393, 1308, 489, 680, 11, 351, 4077, 10222, 290, 18646, 41192, 13, 41471, 544, 281, 368, 1952, 2107, 7223, 284, 3881, 319, 262, 384, 397, 276, 422, 262, 2793, 40738, 4179, 866, 284, 257, 6795, 286, 1802, 285, 290, 635, 7223, 284, 584, 20296, 13, 5334, 5496, 28800, 1402, 5916, 290, 20048, 558, 504, 11, 543, 484, 47800, 1096, 416, 9645, 2628, 286, 336, 14146, 4778, 357, 31522, 31718, 8, 656, 606, 13, 41471, 544, 281, 368, 1952, 389, 7173, 3519, 284, 285, 1252, 992, 281, 368, 1952, 11, 290, 1111, 4693, 389, 3221, 6412, 284, 355, 7840, 2266, 281, 368, 1952, 13, 198, 198, 11828, 198, 464, 2779, 318, 510, 284, 7982, 1849, 3020, 1973, 290, 14245, 40971, 284, 262, 3881, 13, 10766, 5417, 27569, 389, 3221, 4025, 621, 1035, 71, 382, 3392, 13, 383, 5721, 318, 3221, 12238, 621, 663, 14753, 290, 663, 4417, 318, 5017, 287, 3326, 622, 66, 3609, 13, 1318, 318, 257, 41406, 316, 379, 262, 1353, 810, 262, 3326, 622, 66, 3609, 4327, 284, 307, 20325, 656, 15274, 13, 383, 3326, 622, 66, 3609, 3221, 423, 10340, 286, 34375, 290, 16468, 7223, 284, 606, 290, 262, 23407, 281, 368, 505, 468, 262, 5585, 286, 257, 19273, 1311, 76, 735, 286, 34375, 13, 383, 1221, 318, 407, 11622, 621, 262, 41406, 316, 290, 468, 510, 284, 13454, 1790, 41192, 14921, 287, 5021, 2374, 286, 3478, 13, 383, 9568, 318, 845, 7885, 26, 617, 3925, 423, 257, 2266, 5721, 351, 4077, 43182, 2052, 11, 13791, 3326, 622, 66, 3609, 290, 13791, 680, 4097, 276, 41192, 26, 1854, 423, 257, 2266, 5721, 290, 1221, 351, 13791, 3326, 622, 66, 3609, 290, 2330, 41192, 13, 383, 41192, 389, 1690, 4097, 276, 290, 287, 867, 3925, 612, 389, 7888, 2266, 3951, 319, 262, 1221, 7424, 1022, 262, 41192, 13, 198, 198, 20344, 3890, 198, 35, 15668, 544, 281, 368, 1952, 389, 1043, 287, 262, 15723, 10692, 11, 262, 32882, 6896, 11, 262, 2258, 6896, 290, 262, 7840, 10596, 10692, 355, 1290, 5366, 355, 262, 4696, 286, 347, 2304, 323, 290, 262, 12108, 286, 15080, 13, 198, 198, 39, 29968, 265, 198, 35, 15668, 544, 281, 368, 1952, 389, 1043, 319, 12586, 290, 47069, 364, 422, 262, 2793, 15191, 866, 284, 21593, 286, 1802, 1849, 4164, 411, 13, 632, 8833, 287, 3881, 20354, 11, 287, 1126, 85, 1063, 290, 43289, 444, 11, 1871, 262, 1745, 69, 5773, 286, 406, 5669, 10312, 264, 381, 1539, 287, 30923, 290, 11476, 11694, 287, 34375, 13, 198, 198, 19927, 198, 198, 25946, 6042, 19020, 9220, 11, 8235, 11, 5172, 1303, 1314, 198, 198, 41506, 6117, 198, 220, 198, 198, 6398, 5362, 31718, 198, 34, 77, 312, 13517, 286, 262, 10596, 10692, 198, 7676, 500, 277, 32837, 286, 2031, 198, 7676, 500, 277, 32837, 286, 2258, 2253, 198, 35320, 874, 3417, 287, 1596, 5333, 198, 27017, 64, 3706, 416, 8124, 5164, 2616, 27650, 1273, 32934, 376, 1904, 318, 257, 1281, 12, 2164, 403, 469, 4097, 422, 8533, 11, 3936, 13, 198, 198, 1273, 32934, 376, 1904, 373, 7042, 287, 4751, 706, 32705, 5502, 2264, 323, 290, 34269, 19800, 21835, 547, 4137, 284, 35758, 511, 2180, 1448, 13, 383, 734, 1364, 511, 1966, 1085, 14015, 706, 257, 905, 287, 9371, 287, 4751, 11, 618, 262, 49250, 1297, 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 ]

[ 1620, 257, 845, 3094, 4996, 286, 2471, 849, 418, 764, 10148, 15506, 1312, 705, 303, 587, 25292, 286, 262, 3667, 326, 262, 267, 11996, 787, 546, 511, 1986, 260, 837, 10148, 531, 31986, 298, 764, 15506, 1312, 750, 299, 470, 6537, 326, 867, 5615, 2354, 286, 511, 20848, 764, 10148, 15506, 29042, 837, 1312, 705, 76, 6655, 345, 760, 262, 3381, 705, 2550, 260, 837, 705, 24110, 31986, 298, 764, 72, 4099, 326, 345, 466, 299, 470, 760, 881, 584, 621, 262, 1573, 764, 10148, 295, 403, 31318, 319, 465, 23932, 764, 15506, 1986, 260, 389, 407, 8568, 284, 262, 267, 11996, 837, 996, 4050, 32121, 286, 511, 18054, 1244, 307, 764, 9930, 423, 257, 1180, 835, 286, 3612, 837, 290, 329, 606, 42790, 278, 262, 661, 1088, 606, 318, 2408, 764, 9930, 423, 5876, 5989, 3241, 284, 517, 621, 530, 1517, 379, 257, 640, 837, 543, 8075, 2761, 618, 6946, 318, 3306, 764, 4480, 16336, 837, 530, 460, 2193, 284, 307, 257, 10410, 1352, 837, 284, 1037, 257, 1986, 260, 2193, 2471, 849, 418, 290, 284, 1037, 606, 7071, 351, 262, 995, 764, 10148, 353, 544, 15175, 2945, 764, 4908, 298, 6810, 837, 475, 22088, 403, 750, 299, 470, 764, 15506, 561, 2035, 286, 345, 588, 617, 286, 428, 5633, 10148, 258, 25072, 306, 6497, 379, 262, 9396, 286, 8234, 764, 4908, 298, 11126, 262, 2897, 351, 257, 1021, 290, 257, 8212, 764, 15506, 11277, 8270, 516, 4325, 284, 307, 262, 1218, 1986, 260, 1312, 705, 303, 12956, 16537, 837, 10148, 339, 531, 764, 15506, 29042, 837, 3763, 764, 72, 1975, 1312, 705, 303, 2982, 286, 4056, 329, 1986, 260, 2877, 287, 479, 28380, 326, 423, 8724, 287, 867, 852, 517, 880, 12, 29117, 621, 11277, 8270, 516, 764, 10148, 295, 403, 22928, 1811, 10861, 2179, 271, 1040, 656, 465, 5422, 764, 15506, 1312, 561, 299, 470, 307, 6655, 284, 3285, 326, 262, 4152, 318, 26490, 262, 8566, 286, 262, 13833, 764, 3464, 418, 4152, 4206, 703, 284, 9814, 257, 8271, 764, 10148, 15506, 3763, 837, 1312, 11691, 523, 837, 10148, 531, 31986, 298, 764, 258, 34660, 2241, 422, 262, 18507, 764, 28116, 282, 3354, 286, 465, 736, 1126, 4335, 764, 15506, 1312, 892, 340, 705, 82, 640, 356, 815, 307, 1016, 764, 10148, 353, 544, 2714, 530, 7660, 355, 673, 3767, 284, 3551, 764, 15506, 1312, 705, 76, 7926, 1312, 1275, 299, 470, 307, 517, 1037, 284, 345, 837, 24110, 764, 29688, 837, 1282, 3187, 502, 618, 345, 4601, 764, 72, 1244, 307, 1498, 284, 2834, 257, 1178, 13042, 290, 1309, 345, 1100, 617, 286, 616, 3835, 764, 10148, 295, 403, 4438, 31986, 298, 257, 1021, 284, 13279, 764, 15506, 5875, 345, 837, 6240, 764, 25991, 1312, 705, 297, 1011, 345, 510, 319, 326, 2897, 764, 10148, 353, 544, 925, 257, 7838, 286, 29894, 764, 15506, 262, 976, 17023, 2925, 284, 345, 837, 1862, 10846, 764, 72, 892, 326, 345, 561, 307, 880, 12, 45852, 351, 257, 300, 5459, 1088, 534, 7393, 764, 10148, 295, 403, 5814, 306, 14682, 607, 1021, 355, 880, 764, 4908, 298, 373, 6655, 326, 1059, 544, 13541, 379, 262, 2912, 764, 15506, 460, 345, 1064, 534, 835, 503, 5633, 10148, 295, 403, 1965, 764, 4908, 298, 13818, 764, 15506, 1312, 4719, 340, 764, 10148, 1169, 4697, 582, 3751, 606, 284, 262, 18761, 1014, 764, 15506, 326, 750, 299, 470, 467, 355, 1312, 2938, 837, 10148, 531, 31986, 298, 618, 484, 550, 3443, 4251, 262, 3608, 24349, 764, 258, 550, 299, 470, 6939, 655, 703, 3404, 88, 340, 550, 587, 287, 262, 5888, 1566, 484, 547, 319, 262, 4675, 764, 15506, 750, 340, 35860, 1165, 881, 1321, 393, 1165, 1310, 5633, 10148, 353, 544, 1965, 764, 15506, 1111, 837, 10148, 531, 31986, 298, 764, 258, 41723, 764, 15506, 750, 345, 651, 922, 4710, 5633, 10148, 15506, 326, 582, 6130, 45421, 3049, 764, 10148, 4908, 298, 4987, 764, 15506, 1312, 892, 356, 705, 260, 2045, 329, 2130, 508, 714, 466, 777, 1243, 837, 1059, 544, 764, 10148, 7091, 14464, 287, 4381, 764, 15506, 393, 2130, 508, 468, 1100, 617, 286, 883, 3835, 764, 10148, 15506, 1312, 423, 284, 4240, 611, 262, 6174, 88, 636, 286, 18157, 418, 705, 826, 31134, 373, 4814, 780, 262, 705, 8344, 48137, 705, 373, 1165, 14720, 837, 10148, 31986, 298, 531, 5894, 306, 764, 15506, 1312, 550, 1541, 7498, 340, 287, 616, 4710, 764, 10148, 15506, 1312, 892, 326, 262, 1306, 1517, 356, 761, 284, 466, 318, 284, 7173, 9161, 6240, 7332, 1186, 764, 10148, 7091, 373, 6655, 837, 290, 31986, 298, 714, 299, 470, 8138, 607, 764, 25991, 339, 550, 29686, 6240, 7332, 1186, 1165, 2952, 764, 15506, 345, 705, 303, 3421, 534, 4459, 286, 683, 5633, 10148, 15506, 645, 837, 475, 356, 466, 299, 470, 423, 881, 2073, 284, 467, 351, 826, 783, 764, 10148, 15506, 2081, 764, 10148, 1169, 5296, 736, 284, 479, 28380, 373, 890, 764, 1169, 7135, 2962, 416, 13953, 319, 555, 451, 1197, 262, 13141, 286, 356, 7350, 466, 3150, 514, 284, 9585, 262, 13735, 705, 82, 10135, 764, 12, 22088, 403, 2146, 600, 404, 2287, 418, 837, 25985, 286, 2626, 2471, 849, 418, 422, 262, 13735, 379, 437, 567, 5214, 837, 1315, 25, 3023, 12277, 12, 13261, 1528, 706, 262, 1918, 286, 18157, 418, 28001, 13165, 1773, 22126, 583, 1122, 705, 82, 45164, 837, 257, 26725, 26371, 418, 299, 3529, 4624, 1811, 3835, 290, 257, 5405, 286, 220, 3711, 21043, 20030, 319, 262, 23895, 4898, 3084, 764, 258, 10282, 287, 1028, 262, 3355, 290, 1718, 4283, 286, 262, 42745, 2050, 2119, 319, 262, 479, 28380, 4152, 7611, 764, 270, 373, 299, 470, 287, 257, 19143, 6899, 393, 14010, 2615, 837, 393, 772, 287, 530, 286, 262, 3710, 5627, 42665, 764, 38070, 837, 340, 373, 287, 257, 2968, 19945, 837, 583, 1122, 705, 82, 45164, 764, 1169, 17012, 373, 5901, 351, 32691, 14265, 8893, 837, 18791, 837, 290, 43183, 764, 1169, 2748, 12461, 3421, 790, 640, 299, 3529, 550, 8672, 764, 1169, 5456, 11129, 3421, 1342, 764, 28116, 282, 2628, 286, 48128, 3332, 287, 6702, 262, 976, 4113, 379, 262, 976, 640, 286, 1110, 764, 258, 635, 8018, 257, 1271, 286, 25565, 6698, 764, 9930, 547, 517, 941 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16157, 2211, 14, 4967, 784, 564, 246, 2949, 310, 700, 68, 11, 447, 247, 705, 5492, 42606, 38280, 6, 290, 705, 41166, 286, 12902, 7061, 3256, 3683, 29479, 282, 3337, 16328, 40121, 8125, 1023, 11, 3683, 29479, 282, 3337, 4037, 40121, 11, 4347, 11725, 11, 18732, 198, 198, 15146, 2211, 784, 17857, 318, 6292, 355, 281, 3683, 29479, 282, 3337, 13728, 5599, 198, 198, 16157, 2321, 14, 6390, 532, 705, 8642, 330, 268, 1258, 11, 3683, 29479, 282, 3337, 16328, 40121, 8125, 396, 11, 3683, 29479, 282, 3337, 4037, 40121, 11, 4347, 11725, 11, 18732, 198, 198, 16157, 2813, 14, 6999, 784, 564, 246, 25262, 42448, 447, 247, 11, 3683, 29479, 282, 3337, 16328, 40121, 8125, 396, 11, 3683, 29479, 282, 3337, 4037, 40121, 11, 4347, 11725, 11, 18732, 198, 198, 6747, 2813, 784, 564, 246, 24732, 4401, 447, 247, 11, 3683, 29479, 282, 3337, 16328, 40121, 8125, 396, 3683, 29479, 282, 3337, 4037, 40121, 11, 4347, 11725, 11, 18732, 198, 198, 6747, 3050, 784, 564, 246, 44, 1904, 290, 13398, 447, 247, 11, 11289, 286, 4638, 270, 8225, 4244, 9594, 16328, 8225, 40121, 11, 8225, 4244, 11, 19255, 198, 198, 6747, 3050, 784, 564, 246, 4264, 5685, 447, 247, 11, 3683, 29479, 282, 3337, 16328, 40121, 8125, 396, 3683, 29479, 282, 3337, 4037, 40121, 11, 4347, 11725, 11, 18732, 198, 198, 6747, 3717, 784, 564, 246, 13856, 1856, 341, 447, 247, 6, 3256, 3683, 29479, 282, 3337, 16328, 40121, 8125, 396, 11, 3683, 29479, 282, 11, 4347, 11725, 11, 18732, 198, 198, 12468, 198, 43, 945, 268, 6241, 281, 1393, 287, 3783, 11, 8705, 11, 10959, 11, 290, 3573, 11, 2272, 290, 2272, 13936, 379, 281, 1903, 2479, 13, 2399, 1641, 26546, 1068, 465, 5353, 287, 777, 10233, 11, 290, 4855, 465, 3957, 1242, 7401, 13, 2399, 13460, 4911, 281, 19163, 329, 3288, 8737, 11, 1390, 262, 1692, 3785, 11, 290, 663, 11812, 1626, 262, 3288, 10747, 13, 31239, 268, 12932, 284, 2251, 1242, 5225, 326, 19330, 14903, 12, 14543, 5103, 11, 5696, 11, 290, 7605, 13, 7994, 465, 670, 11, 31239, 268, 468, 531, 11, 27896, 314, 716, 4609, 287, 8282, 284, 10993, 13460, 286, 8737, 11, 13293, 11, 11044, 11, 290, 48217, 11, 475, 517, 2904, 351, 281, 12476, 319, 8689, 290, 281, 16915, 1570, 286, 262, 2003, 13, 1675, 326, 886, 11, 314, 588, 284, 2962, 319, 7481, 326, 19330, 777, 13460, 290, 389, 635, 42789, 286, 257, 407, 12, 18820, 12, 67, 10167, 2003, 11, 290, 326, 10993, 257, 3967, 6650, 13, 2011, 3061, 318, 407, 284, 7521, 3783, 10165, 11, 475, 284, 4911, 644, 314, 1064, 1593, 11, 4950, 11, 290, 40840, 546, 262, 995, 11, 262, 6881, 11, 290, 1692, 1611, 447, 247, 82, 1295, 287, 340, 422, 257, 966, 286, 1570, 287, 262, 2003, 526, 198, 198, 43, 945, 268, 338, 2499, 635, 3895, 1751, 290, 511, 5339, 284, 5967, 262, 2003, 355, 281, 4998, 290, 4950, 1295, 287, 257, 17082, 835, 13, 1550, 428, 7243, 11, 31239, 268, 1139, 11, 366, 26829, 290, 511, 27337, 389, 4004, 7481, 286, 6164, 13, 1081, 257, 2560, 11, 314, 21786, 257, 2003, 329, 616, 1751, 326, 318, 9389, 11, 475, 635, 5901, 351, 5885, 290, 4240, 9313, 198, 198, 43, 945, 268, 468, 587, 8096, 319, 18902, 12, 32, 12, 12393, 11, 383, 11733, 16036, 351, 15105, 12181, 11, 290, 1315, 2750, 4879, 7093, 11, 257, 10202, 12, 3106, 1242, 1705, 16615, 13, 679, 468, 635, 587, 8096, 355, 257, 1957, 6802, 379, 262, 8049, 26451, 11536, 3337, 290, 22207, 287, 9436, 13754, 6233, 2254, 11, 19255, 13, 198, 198, 30228, 1204, 198, 43, 945, 268, 3160, 287, 13754, 6233, 2254, 11, 19255, 351, 465, 3656, 290, 1115, 1751, 13, 554, 3090, 284, 465, 4388, 17290, 3451, 11, 339, 635, 318, 281, 32450, 890, 12, 30246, 17490, 13, 198, 198, 6214, 635, 628, 19627, 26431, 532, 1605, 14, 3843, 1103, 396, 6802, 198, 15105, 12181, 532, 1605, 14, 29551, 1103, 396, 6802, 198, 12723, 9099, 2547, 37518, 532, 1605, 14, 29551, 1103, 396, 6802, 198, 12806, 14006, 532, 1605, 14, 12805, 1103, 396, 6802, 198, 11753, 24701, 3364, 532, 1605, 14, 8141, 1103, 396, 6802, 198, 198, 19927, 198, 198, 41506, 6117, 198, 17857, 31239, 268, 338, 15934, 15887, 198, 7554, 24177, 28930, 337, 967, 29716, 357, 17908, 1467, 11, 41507, 784, 2805, 1987, 11, 6303, 8, 373, 257, 16639, 1605, 662, 17660, 286, 262, 7993, 7835, 4564, 13, 679, 4983, 355, 16559, 286, 44291, 16111, 357, 1129, 3365, 1906, 45192, 8, 290, 16559, 286, 5027, 4223, 261, 12, 33387, 357, 38449, 1906, 28296, 737, 198, 198, 20457, 1204, 290, 3707, 198, 464, 14024, 286, 3478, 1751, 11, 1757, 337, 967, 29716, 373, 4642, 287, 21127, 3099, 11, 3936, 11, 284, 978, 10924, 290, 20492, 357, 77, 22161, 371, 8480, 8, 337, 967, 29716, 13, 2399, 2988, 1625, 3264, 284, 262, 1578, 1829, 422, 3461, 40543, 11, 981, 465, 2802, 373, 262, 4957, 286, 3461, 615, 666, 7971, 13, 679, 373, 40357, 416, 5416, 13, 5593, 350, 13, 3433, 446, 385, 379, 465, 3397, 6, 1363, 13, 679, 9141, 520, 13, 1757, 338, 12449, 3219, 287, 2986, 11366, 422, 37547, 1566, 15533, 11, 618, 339, 373, 1908, 284, 2252, 465, 3640, 287, 10598, 379, 262, 5535, 286, 262, 8772, 43589, 290, 262, 26345, 361, 605, 8547, 22618, 2059, 13, 198, 198, 34487, 395, 2894, 198, 3633, 287, 10598, 11, 337, 967, 29716, 373, 36777, 284, 262, 33060, 416, 25564, 27025, 1073, 1526, 2395, 35671, 15300, 85, 9460, 25111, 319, 3426, 642, 11, 26539, 13, 679, 1568, 7366, 465, 6253, 378, 287, 24383, 287, 27653, 13, 14438, 465, 1441, 284, 3936, 287, 27653, 11, 337, 967, 29716, 4983, 355, 257, 1090, 378, 379, 520, 13, 3899, 338, 4564, 287, 775, 49399, 1566, 24414, 13, 679, 373, 257, 1090, 378, 379, 520, 13, 15397, 338, 4564, 287, 2986, 11366, 422, 24414, 284, 16236, 11, 290, 257, 6240, 286, 18061, 1099, 11, 9133, 290, 8876, 379, 520, 13, 1757, 338, 12449, 3219, 422, 16236, 284, 23234, 13, 679, 11589, 4983, 355, 22175, 286, 520, 13, 12155, 390, 36025, 4564, 290, 32958, 286, 7835, 4266, 287, 2986, 11366, 13, 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 ]

[ 12882, 11, 319, 617, 286, 262, 8339, 13, 383, 5062, 11, 6264, 287, 7795, 379, 3834, 5219, 10952, 4108, 544, 13799, 11, 3576, 11, 1625, 503, 287, 7358, 351, 262, 3670, 2935, 1087, 13, 198, 198, 818, 4751, 11, 262, 4097, 2716, 511, 2457, 5062, 22406, 11, 6264, 379, 383, 2332, 2781, 496, 290, 36507, 13799, 11, 3576, 13, 383, 5062, 7763, 649, 7259, 355, 880, 355, 34471, 274, 290, 5559, 6300, 286, 2180, 8339, 13, 198, 198, 818, 5878, 262, 4097, 6626, 510, 11, 351, 412, 1030, 8024, 284, 18220, 290, 31612, 5637, 287, 3576, 13, 31612, 1568, 7042, 262, 4097, 383, 23369, 2097, 13, 198, 198, 15642, 4867, 198, 2348, 4435, 82, 25, 198, 198, 2514, 6705, 498, 15391, 986, 357, 22288, 8, 198, 1, 43, 272, 759, 1, 198, 1, 35191, 41101, 1, 198, 1, 464, 3894, 1, 198, 1, 817, 500, 1215, 690, 560, 1, 198, 1, 7414, 496, 297, 341, 843, 31799, 1, 198, 1, 6935, 24592, 2080, 39953, 1, 198, 1, 9360, 11744, 4709, 653, 1, 198, 1, 1890, 12511, 770, 15120, 1, 198, 1, 5840, 1942, 316, 357, 464, 16185, 9488, 16725, 198, 1, 32779, 17506, 1, 198, 1, 35, 2053, 278, 383, 46104, 1, 198, 1, 34, 4464, 372, 1, 198, 198, 5960, 1087, 357, 21113, 8, 198, 1, 464, 2547, 1118, 1, 198, 1, 50, 2645, 10438, 1, 198, 1, 3109, 421, 16107, 1, 564, 254, 198, 1, 464, 21475, 10854, 295, 1, 198, 1, 2025, 26970, 727, 13868, 1, 198, 1, 8291, 5647, 3924, 357, 11627, 974, 352, 2599, 1001, 4717, 1, 198, 1, 5960, 1087, 1, 564, 254, 198, 1, 3109, 3902, 1, 198, 1, 49548, 19157, 357, 14815, 16725, 564, 254, 198, 1, 18465, 3125, 17380, 17924, 5949, 10036, 1, 198, 1, 33, 459, 446, 1417, 1, 198, 1, 8291, 5647, 3924, 357, 11627, 974, 513, 2599, 36574, 1, 198, 198, 4965, 2122, 357, 11024, 8, 198, 1, 464, 1471, 430, 1869, 1, 564, 254, 198, 1, 34, 1501, 2473, 27109, 1, 198, 1, 19400, 1675, 9794, 1, 198, 1, 464, 6706, 577, 37759, 3226, 24956, 1, 198, 1, 8291, 5647, 3924, 357, 11627, 974, 362, 2599, 4216, 263, 1505, 1, 357, 49788, 47208, 874, 8, 198, 1, 50, 353, 346, 786, 1, 198, 1, 818, 7244, 29003, 34950, 1, 357, 33804, 328, 947, 18232, 8, 198, 1, 33, 533, 1, 357, 34, 397, 430, 18892, 6387, 15561, 8, 198, 1, 49548, 19157, 1, 357, 32466, 360, 12, 36, 303, 12, 32, 15561, 8, 564, 254, 198, 1, 464, 2547, 1118, 1, 357, 5317, 430, 337, 1434, 82, 15561, 8, 198, 1, 3109, 3902, 1, 357, 1135, 335, 364, 4479, 15561, 8, 198, 1, 3260, 27522, 1, 357, 9781, 305, 49540, 10628, 11, 42410, 282, 8, 198, 198, 33912, 17571, 18322, 710, 797, 1030, 198, 198, 19927, 198, 198, 43293, 308, 849, 291, 3881, 2628, 198, 10694, 605, 2628, 4920, 287, 9656, 198, 10694, 605, 2628, 422, 18220, 357, 19205, 8, 464, 15904, 20874, 8693, 373, 262, 4747, 4372, 8313, 286, 262, 4152, 4346, 9396, 983, 11, 2826, 379, 30941, 1531, 10499, 287, 968, 12255, 11, 13340, 11, 319, 3321, 11, 3269, 362, 764, 2142, 286, 262, 19322, 1906, 3134, 9396, 983, 1622, 11, 340, 14451, 262, 41445, 290, 2368, 12, 28282, 9266, 18722, 31105, 286, 262, 311, 27873, 8785, 357, 23683, 8, 290, 262, 1303, 21, 18329, 11424, 7537, 15949, 286, 262, 4403, 18087, 8785, 13, 34395, 1850, 1849, 1525, 5193, 2173, 11, 9266, 1839, 4974, 1906, 22, 13, 198, 198, 3791, 6280, 338, 3596, 373, 319, 257, 3502, 287, 15904, 11, 523, 262, 983, 373, 2826, 262, 1708, 1110, 13, 198, 198, 6767, 4105, 198, 198, 49177, 198, 198, 49177, 5201, 262, 3218, 1622, 355, 10729, 7827, 351, 257, 1700, 220, 4900, 41445, 290, 2712, 355, 734, 12, 2435, 11749, 2260, 7827, 11, 9266, 750, 407, 1592, 262, 2260, 3670, 287, 19322, 13, 5455, 4446, 20945, 23382, 20377, 706, 3985, 30574, 2547, 325, 456, 666, 11, 351, 465, 1074, 8165, 220, 351, 7055, 1812, 351, 352, 25, 940, 284, 467, 11, 7690, 284, 711, 329, 262, 9839, 2138, 621, 2230, 284, 1592, 220, 383, 19098, 8685, 290, 45130, 1111, 5201, 837, 750, 407, 711, 287, 257, 9396, 983, 11, 290, 547, 10307, 717, 290, 1218, 287, 262, 9231, 11, 981, 9266, 373, 220, 1111, 1688, 9231, 2716, 511, 2457, 23713, 287, 1903, 3426, 11, 3161, 284, 262, 9396, 1830, 13, 198, 198, 1212, 373, 262, 31105, 338, 8150, 20874, 8693, 11, 290, 511, 29112, 9396, 5585, 13, 198, 198, 8199, 17088, 198, 198, 8199, 17088, 5201, 262, 3218, 1622, 355, 4403, 18087, 7827, 351, 257, 1700, 286, 860, 1906, 16, 13, 383, 691, 2994, 286, 262, 1622, 1625, 287, 511, 2457, 983, 1028, 10433, 416, 257, 4776, 286, 838, 1906, 24, 13, 554, 257, 39810, 286, 262, 2180, 1622, 338, 11942, 8693, 11, 340, 373, 262, 717, 640, 329, 18329, 287, 262, 20874, 8693, 11, 290, 511, 14024, 9396, 5585, 13, 198, 198, 8777, 10638, 198, 464, 20874, 8693, 373, 262, 717, 983, 286, 257, 1688, 9396, 15055, 25677, 357, 31087, 11, 11942, 8, 319, 9716, 11, 290, 12165, 572, 379, 352, 9114, 46429, 13, 1318, 373, 645, 5449, 351, 262, 23915, 8693, 329, 5581, 10209, 428, 614, 11, 355, 326, 983, 373, 2826, 734, 1528, 2961, 11, 319, 968, 6280, 338, 12882, 13, 198, 198, 49177, 7781, 319, 663, 717, 1115, 5859, 23309, 284, 1011, 257, 220, 26909, 34560, 290, 7880, 7148, 49726, 1754, 7781, 17692, 319, 4539, 286, 530, 290, 1478, 5695, 11, 351, 6542, 7802, 4375, 257, 1542, 12, 9413, 2214, 3061, 2739, 287, 262, 3860, 13, 317, 2237, 12, 9413, 13329, 833, 34477, 10242, 1057, 287, 262, 1218, 3860, 2921, 262, 18722, 31105, 257, 1987, 1906, 15, 1085, 379, 262, 2063, 13, 198, 198, 49177, 7083, 511, 1085, 284, 2681, 1906, 15, 706, 257, 2319, 12, 9413, 2214, 3061, 416, 7802, 13, 18329, 7781, 511, 717, 2173, 1903, 287, 262, 5544, 3860, 11, 355, 11740, 7802, 925, 257, 1315, 12, 9413, 10242, 16307, 422, 5811, 4564, 488, 284, 2005, 262, 1085, 220, 9266, 4838, 262, 983, 351, 257, 4153, 12, 9413, 7760, 29618, 10242, 16307, 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 ]

[ 373, 987, 445, 379, 43442, 3327, 35637, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 1558, 4524, 27244, 198, 1507, 2231, 7040, 198, 22991, 8231, 379, 43442, 3327, 35637, 357, 42349, 8, 198, 6747, 669, 286, 8857, 17121, 37131, 49767, 357, 1129, 3269, 15761, 784, 1987, 3267, 3050, 8, 373, 281, 6638, 11783, 2137, 13, 198, 198, 36530, 3451, 198, 198, 42350, 3451, 198, 49, 46923, 2826, 6205, 4346, 329, 39675, 346, 878, 8415, 351, 3687, 376, 901, 810, 339, 925, 2681, 4652, 11057, 11, 9689, 1367, 4661, 13, 554, 262, 2739, 9507, 82, 339, 3888, 284, 1114, 16370, 29007, 810, 339, 925, 691, 1936, 11057, 878, 795, 3692, 803, 284, 4505, 13, 198, 198, 3163, 380, 1075, 287, 4505, 287, 15963, 11, 49767, 5399, 11852, 24734, 78, 993, 11, 810, 339, 2826, 287, 1811, 22966, 82, 1566, 262, 3095, 12, 30986, 82, 13, 679, 635, 2826, 287, 9764, 9071, 1141, 262, 6638, 572, 12, 6230, 13, 198, 198, 3633, 2712, 329, 24734, 78, 993, 11, 339, 7997, 262, 1181, 286, 968, 2520, 11769, 1115, 1661, 13, 5856, 465, 640, 351, 262, 3430, 339, 373, 4367, 355, 257, 11991, 333, 498, 11, 22900, 475, 47589, 10457, 2137, 11, 13178, 416, 617, 355, 11852, 447, 247, 82, 749, 8119, 2651, 1106, 198, 198, 49, 46923, 373, 257, 845, 3049, 17490, 508, 1718, 510, 4708, 2491, 351, 617, 1943, 287, 262, 8069, 82, 13, 198, 198, 24274, 3451, 198, 49, 46923, 2826, 2237, 1661, 329, 262, 4505, 2260, 1074, 13, 1439, 286, 465, 7466, 547, 2826, 287, 16450, 1141, 4505, 338, 4054, 28587, 329, 262, 8069, 21285, 2159, 5454, 13, 198, 198, 30815, 9957, 198, 32, 2615, 2831, 21277, 11, 49767, 6405, 1752, 290, 1568, 25107, 13, 679, 290, 465, 1966, 3656, 550, 530, 3367, 13, 198, 198, 19927, 198, 198, 41506, 6117, 628, 31832, 28623, 49767, 532, 9957, 11937, 4505, 909, 270, 2838, 532, 3199, 2681, 3267, 3050, 198, 198, 41931, 27244, 198, 10333, 7040, 198, 38036, 11783, 1938, 198, 27429, 3230, 11783, 1938, 198, 25234, 376, 901, 376, 13, 34, 13, 1938, 198, 1890, 16370, 29007, 376, 13, 34, 13, 1938, 198, 19040, 680, 9957, 4041, 1938, 198, 8061, 422, 45264, 469, 12810, 198, 19040, 680, 795, 5663, 284, 4505, 198, 18153, 15332, 422, 376, 901, 198, 8021, 41003, 4346, 22052, 271, 257, 4960, 4346, 2137, 13, 198, 198, 36530, 3451, 198, 42, 333, 461, 6909, 373, 4642, 287, 311, 1092, 78, 12, 2202, 11329, 319, 2932, 838, 11, 15589, 13, 2293, 30024, 422, 317, 16590, 402, 8719, 259, 2059, 11, 339, 5399, 449, 16, 4041, 3430, 45138, 1219, 1689, 376, 13, 1526, 11996, 287, 4751, 13, 2102, 339, 714, 407, 711, 379, 477, 287, 262, 2872, 13, 554, 5878, 11, 339, 3888, 284, 3771, 2309, 1523, 1004, 6120, 3430, 6748, 2611, 10029, 6075, 1134, 13704, 357, 36760, 10029, 6075, 1134, 13704, 737, 383, 3430, 373, 13722, 284, 15994, 1004, 6120, 422, 6244, 290, 2869, 9957, 4041, 422, 5472, 13, 679, 2826, 867, 7466, 355, 3218, 2137, 1566, 5075, 13, 554, 4793, 11, 339, 3888, 284, 449, 17, 4041, 3430, 509, 12144, 10247, 797, 893, 349, 13, 679, 2627, 257, 3218, 2137, 355, 826, 1735, 736, 287, 2739, 4793, 290, 262, 3430, 373, 13722, 284, 449, 16, 422, 4343, 13, 554, 3648, 11, 262, 3430, 1839, 262, 362, 358, 1295, 10851, 338, 5454, 13, 198, 198, 4864, 465, 3663, 284, 711, 11832, 422, 3717, 290, 262, 3430, 373, 36391, 284, 449, 17, 422, 3050, 13, 4900, 262, 3430, 4504, 284, 449, 16, 287, 257, 614, 290, 1839, 262, 7827, 287, 2813, 449, 16, 4041, 11, 339, 714, 8941, 711, 287, 262, 2872, 287, 2813, 13, 554, 2321, 11, 339, 3888, 284, 449, 17, 3430, 5564, 28372, 19162, 25384, 13, 679, 2627, 257, 3218, 2137, 355, 826, 1735, 736, 287, 2321, 13, 4900, 465, 3663, 284, 711, 11832, 257, 1310, 422, 2211, 11, 339, 2826, 867, 7466, 1566, 1584, 13, 554, 2177, 11, 339, 3888, 284, 15994, 1004, 6120, 3430, 22691, 14852, 26774, 10029, 13, 679, 9880, 886, 286, 2864, 1622, 13, 198, 198, 7222, 8103, 3451, 198, 818, 2693, 2177, 11, 618, 18132, 461, 6909, 2826, 329, 15994, 1004, 6120, 3430, 22691, 14852, 26774, 10029, 11, 339, 2627, 257, 2712, 4706, 13, 679, 5257, 262, 3430, 1566, 886, 286, 2177, 1622, 13, 198, 198, 42350, 7869, 198, 17354, 284, 352, 3269, 13130, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 37781, 27244, 198, 36376, 661, 198, 32, 16590, 402, 8719, 259, 2059, 31333, 198, 8021, 41003, 4346, 661, 422, 14063, 363, 22200, 3771, 36637, 198, 25324, 4346, 364, 198, 41, 16, 4041, 1938, 198, 41, 17, 4041, 1938, 198, 16504, 9957, 4041, 1938, 198, 56, 482, 1219, 1689, 376, 13, 1526, 11996, 1938, 198, 3163, 660, 15804, 33846, 1938, 198, 42, 12144, 10247, 797, 893, 349, 1938, 198, 15450, 28372, 19162, 25384, 1938, 198, 5606, 89, 14852, 26774, 10029, 1938, 198, 8021, 41003, 4346, 16355, 26374, 48222, 44316, 25384, 357, 6286, 1737, 2608, 11, 15963, 8, 318, 281, 1605, 14971, 422, 13708, 13, 1375, 373, 530, 286, 262, 4390, 4165, 5871, 329, 262, 2292, 286, 21586, 10807, 286, 13708, 287, 262, 2864, 3071, 13, 44316, 25384, 4271, 4983, 355, 257, 16248, 319, 262, 13708, 7511, 6923, 4513, 290, 373, 4271, 7018, 284, 4691, 734, 2846, 319, 262, 13708, 5926, 286, 7868, 13, 220, 198, 198, 40, 86, 25384, 373, 8018, 355, 257, 15869, 286, 9794, 416, 1992, 8732, 2486, 287, 2211, 11, 290, 287, 2864, 39594, 5610, 607, 355, 530, 286, 15334, 761, 12, 1462, 12, 16275, 40547, 329, 25172, 2489, 13, 198, 198, 20457, 1204, 290, 3451, 220, 198, 40, 86, 25384, 373, 4642, 319, 262, 7022, 286, 28148, 1872, 11, 290, 318, 286, 4960, 18598, 13, 44316, 25384, 338, 2802, 1816, 656, 4827, 379, 257, 2839, 2151, 12007, 416, 16156, 37307, 16235, 284, 10648, 262, 7118, 286, 607, 48222, 3175, 907, 28345, 11, 290, 44316, 25384, 373, 788, 4642, 262, 1306, 1110, 13, 220, 37307, 16235, 8672, 44316, 25384, 338, 2802, 287, 262, 4436, 351, 257, 35833, 21108, 286, 12734, 11, 257, 2657, 11, 290, 257, 2581, 284, 1438, 44316, 25384, 564, 250, 34, 25634, 447, 251, 706 ]

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

[ 810, 673, 373, 262, 1218, 5510, 1605, 11, 262, 717, 11764, 25172, 1048, 11, 290, 717, 2415, 284, 1745, 262, 2292, 13, 7413, 326, 673, 373, 15286, 5890, 286, 262, 14045, 5094, 10074, 13, 198, 198, 32718, 373, 262, 17800, 286, 257, 12131, 36442, 36293, 422, 262, 11164, 39071, 5693, 13, 1375, 9179, 319, 262, 4640, 3096, 286, 262, 14665, 46267, 4281, 11, 257, 2292, 673, 338, 2714, 1201, 2901, 2177, 13, 198, 198, 20457, 1204, 290, 3707, 198, 32718, 6348, 510, 287, 49860, 11, 7055, 810, 673, 373, 12387, 287, 17016, 1337, 13, 1375, 3111, 355, 257, 5888, 2443, 981, 287, 1029, 1524, 290, 18303, 422, 8342, 7055, 2059, 287, 8235, 351, 257, 29384, 286, 3734, 10848, 4922, 13, 2893, 379, 28692, 52, 11, 673, 4193, 2251, 262, 9368, 22512, 6289, 543, 2627, 262, 16013, 11, 43797, 11, 347, 20863, 11, 44002, 11, 290, 4225, 8044, 276, 13613, 4479, 13, 2332, 4958, 447, 247, 82, 4922, 287, 5888, 290, 1321, 3783, 318, 422, 262, 2059, 286, 12767, 13, 198, 198, 32718, 318, 6405, 284, 10848, 45562, 12258, 12652, 12, 32718, 290, 262, 734, 423, 530, 4957, 13, 198, 198, 19927, 198, 198, 36376, 661, 198, 7437, 300, 2889, 13517, 198, 43032, 12, 7437, 300, 2889, 13517, 198, 17688, 286, 4082, 4814, 357, 19950, 661, 8, 13434, 318, 281, 5062, 416, 383, 309, 1791, 602, 2716, 287, 7169, 11, 511, 717, 5062, 286, 262, 4019, 82, 13, 220, 632, 635, 7498, 511, 1441, 284, 6543, 593, 706, 13413, 4305, 262, 6167, 287, 15408, 290, 8296, 734, 16788, 329, 10596, 13407, 13, 16902, 17381, 635, 4504, 284, 262, 1448, 706, 5593, 7886, 11, 508, 6264, 1141, 262, 10596, 2278, 11, 1364, 13, 383, 5062, 373, 4635, 416, 6543, 593, 9119, 20165, 39592, 88, 11, 3977, 370, 1555, 2777, 2049, 11, 29345, 8790, 8101, 78, 11, 290, 48886, 12812, 13, 198, 198, 44241, 7343, 198, 198, 24819, 1881, 198, 13, 4333, 357, 33, 623, 12, 38, 585, 88, 12, 38248, 33996, 8, 357, 20451, 47208, 874, 25, 16902, 17381, 11, 17551, 20131, 11, 6219, 3530, 11, 290, 48834, 14021, 8, 198, 13, 520, 30915, 416, 12469, 41217, 357, 33, 623, 12, 54, 1555, 2777, 2049, 8, 357, 20451, 47208, 874, 25, 16902, 17381, 8, 198, 13, 25110, 470, 262, 5265, 27948, 357, 464, 309, 1791, 602, 8, 357, 20451, 47208, 874, 25, 6219, 3530, 8, 198, 13, 1374, 1680, 314, 36136, 3406, 5896, 357, 33, 623, 12, 54, 1555, 2777, 2049, 8, 357, 20451, 47208, 874, 25, 16902, 17381, 8, 198, 198, 24819, 4930, 198, 13, 8843, 286, 3406, 5896, 357, 29387, 309, 4108, 363, 2815, 72, 12, 38918, 8101, 78, 8, 357, 20451, 47208, 874, 25, 16902, 17381, 8, 198, 13, 1680, 470, 921, 4091, 15335, 21561, 357, 464, 309, 1791, 602, 8, 357, 20451, 47208, 874, 25, 16902, 17381, 11, 17551, 20131, 11, 19740, 271, 6484, 8, 198, 13, 1514, 1114, 632, 357, 33, 623, 12, 41865, 2777, 2049, 8, 357, 20451, 47208, 874, 25, 17551, 20131, 8, 198, 13, 314, 1101, 21808, 5995, 357, 464, 309, 1791, 602, 8, 357, 20451, 47208, 874, 25, 16902, 17381, 8, 198, 198, 15439, 4954, 198, 46, 48010, 6484, 220, 198, 21102, 7114, 14021, 220, 198, 35, 10679, 17381, 220, 198, 22245, 3530, 220, 198, 9861, 1697, 20131, 198, 198, 19927, 198, 198, 23664, 16788, 198, 464, 309, 1791, 602, 16788, 464, 33160, 1605, 29007, 8785, 6065, 338, 25911, 9595, 481, 307, 2714, 2805, 838, 1906, 1485, 11, 33160, 379, 11740, 444, 10937, 287, 6401, 22301, 11, 3936, 13, 220, 1439, 1830, 286, 262, 7756, 481, 307, 30681, 319, 2035, 10409, 11, 10409, 17, 393, 10409, 52, 11, 1390, 262, 12184, 2457, 319, 10409, 13, 383, 8464, 286, 262, 7756, 481, 3328, 262, 47943, 11353, 8406, 284, 262, 33160, 15244, 9595, 13, 198, 198, 50, 39642, 198, 3152, 262, 7375, 11008, 12, 1129, 19798, 5314, 287, 262, 1578, 1829, 991, 7044, 290, 262, 5885, 286, 16769, 1830, 11, 24690, 481, 307, 2672, 284, 711, 257, 5288, 286, 5441, 4, 286, 262, 2811, 1271, 286, 4495, 1830, 2826, 287, 1502, 284, 307, 48453, 416, 5442, 5873, 329, 262, 4495, 7756, 13, 24690, 389, 48453, 416, 4495, 1700, 11, 351, 257, 9839, 49295, 973, 284, 9403, 3466, 351, 10411, 4495, 4406, 13, 383, 1353, 1936, 3466, 481, 3328, 416, 274, 284, 262, 3860, 32089, 13, 198, 198, 27054, 5950, 198, 198, 9414, 8317, 220, 198, 9, 784, 5601, 6421, 17820, 2278, 198, 198, 8777, 5060, 76, 3166, 198, 198, 5962, 10485, 198, 198, 4507, 2571, 32089, 198, 198, 13900, 361, 6897, 198, 198, 1925, 4350, 1056, 3776, 220, 198, 198, 9, 8777, 1661, 25, 16356, 198, 198, 6214, 635, 220, 198, 1238, 1828, 1605, 29007, 8785, 6926, 338, 25911, 9595, 198, 1605, 29007, 8785, 6065, 338, 25911, 9595, 198, 1605, 29007, 8785, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 7437, 29007, 8785, 9595, 5694, 198, 198, 51, 5138, 198, 7437, 29007, 8785, 6065, 338, 25911, 9595, 198, 33, 14575, 287, 3936, 198, 38951, 5701, 287, 3936, 198, 18153, 287, 6401, 22301, 11, 3936, 198, 18153, 24174, 287, 6401, 22301, 11, 3936, 198, 7437, 29007, 8785, 6065, 338, 25911, 9595, 464, 33160, 327, 13752, 7849, 15434, 11, 262, 7265, 400, 8313, 286, 262, 13304, 10542, 11, 389, 284, 307, 2714, 319, 19250, 11, 11287, 319, 3035, 1367, 11, 33160, 379, 262, 19250, 31526, 38938, 1505, 290, 7064, 287, 290, 1088, 7849, 2254, 13, 464, 15434, 11, 543, 423, 18530, 319, 327, 13752, 1201, 6244, 11, 481, 423, 663, 366, 20541, 19245, 1, 11541, 319, 11133, 287, 33160, 13, 198, 198, 21756, 220, 198, 464, 327, 13752, 7849, 15434, 318, 1499, 2647, 447, 247, 82, 691, 5000, 4336, 12, 85, 5191, 13304, 905, 5764, 905, 13, 14207, 262, 890, 12, 2435, 11133, 4635, 8581, 286, 12946, 7849, 15434, 24057, 422, 262, 3127, 11, 569, 9607, 296, 22923, 3414, 326, 262, 2107, 30681, 10542, 561, 1445, 284, 11133, 422, 327, 13752, 13, 2893, 11133, 481, 3283, 262, 5764, 905, 2107, 11, 327, 13752, 481, 423, 1285, 12, 6511, 2041, 8300, 290, 2995, 28490, 416, 8568, 366, 35248, 447, 247, 82, 2005, 1, 31701, 286, 262, 10542, 319, 327, 13752, 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 ]

[ 379, 262, 18887, 269, 967, 6236, 1362, 837, 508, 40360, 3094, 4171, 2951, 379, 502, 355, 673, 19967, 36825, 262, 886, 286, 607, 4356, 79, 16270, 764, 15506, 1027, 76, 18058, 837, 881, 5633, 10148, 15506, 4636, 69, 837, 10148, 267, 16017, 544, 531, 764, 72, 373, 299, 470, 1654, 611, 326, 373, 3623, 393, 281, 2230, 284, 26332, 616, 2456, 764, 72, 731, 262, 6846, 764, 349, 20817, 512, 1850, 502, 764, 15506, 12498, 837, 10148, 1149, 75, 11404, 531, 837, 7559, 340, 705, 82, 262, 8208, 12, 11085, 4289, 764, 85, 27933, 389, 47180, 837, 262, 13617, 82, 423, 257, 22429, 415, 837, 290, 340, 705, 82, 7138, 10909, 329, 257, 2415, 284, 1064, 257, 582, 10966, 764, 27218, 389, 477, 1243, 616, 4957, 2476, 284, 760, 546, 764, 10148, 15506, 2592, 262, 13617, 82, 636, 837, 10148, 1312, 531, 837, 25849, 262, 4356, 79, 16270, 379, 267, 16017, 544, 284, 607, 48977, 34550, 764, 7091, 537, 6320, 607, 2832, 351, 262, 3105, 13006, 1108, 290, 2829, 308, 7197, 286, 257, 1200, 764, 15506, 611, 345, 714, 2107, 379, 1319, 432, 290, 751, 1653, 837, 345, 561, 837, 10148, 1149, 75, 11404, 11001, 764, 15506, 326, 318, 2081, 764, 72, 466, 1842, 616, 13617, 29846, 764, 10148, 15506, 290, 523, 1690, 329, 299, 3413, 764, 10148, 7091, 42821, 9091, 837, 788, 537, 6320, 607, 2832, 290, 2714, 606, 503, 284, 267, 16017, 544, 837, 508, 31318, 287, 616, 5101, 290, 23831, 3812, 607, 2802, 837, 4769, 503, 607, 898, 2832, 764, 15506, 340, 705, 82, 587, 14081, 16508, 510, 837, 6621, 837, 475, 1312, 761, 284, 651, 428, 530, 1363, 290, 656, 3996, 764, 22478, 705, 82, 1363, 351, 262, 1334, 286, 262, 6553, 764, 72, 655, 2227, 284, 423, 257, 2863, 284, 910, 23105, 290, 1309, 345, 3187, 534, 4004, 41803, 764, 10148, 15506, 1312, 1842, 477, 534, 1751, 8603, 837, 10148, 1312, 27278, 837, 6427, 736, 262, 4334, 837, 5814, 18537, 286, 5156, 764, 354, 7063, 11404, 3013, 291, 28970, 290, 12974, 267, 16017, 544, 319, 607, 10359, 764, 15506, 1312, 705, 76, 1016, 284, 307, 257, 922, 1995, 1820, 290, 16614, 326, 705, 82, 2081, 837, 1771, 340, 318, 393, 407, 764, 292, 890, 355, 345, 1842, 616, 1751, 517, 621, 686, 4835, 705, 82, 837, 356, 705, 260, 922, 764, 10148, 7091, 23831, 287, 837, 12070, 257, 9245, 1028, 616, 19353, 764, 15506, 1755, 837, 1310, 6621, 764, 392, 416, 262, 835, 837, 611, 345, 423, 262, 2863, 351, 32749, 494, 837, 1011, 340, 764, 29688, 764, 1640, 502, 764, 10148, 1169, 300, 3372, 452, 699, 804, 673, 3350, 287, 4555, 272, 705, 82, 4571, 618, 673, 5954, 736, 1364, 1310, 4719, 546, 644, 7559, 2863, 10148, 673, 4001, 502, 284, 1011, 764, 15506, 922, 1755, 837, 1149, 764, 1820, 1842, 284, 1688, 764, 11274, 1755, 837, 17717, 494, 764, 10148, 15506, 285, 413, 71, 5145, 10148, 7091, 16896, 837, 30713, 319, 607, 2802, 705, 82, 10359, 764, 4360, 262, 1755, 550, 5729, 2077, 663, 13592, 837, 290, 607, 32749, 1182, 3102, 19458, 284, 1149, 75, 11404, 705, 82, 8163, 837, 607, 29708, 2340, 6364, 9605, 764, 7091, 8350, 340, 837, 1312, 714, 1560, 837, 3088, 284, 1394, 607, 2951, 1280, 290, 607, 17841, 319, 262, 27309, 290, 2151, 31006, 1088, 607, 764, 4360, 618, 673, 22928, 257, 15683, 656, 607, 5422, 837, 1312, 2993, 673, 373, 1760, 764, 372, 300, 2340, 3214, 4423, 290, 428, 640, 9658, 612, 764, 354, 7063, 11404, 531, 607, 922, 1525, 274, 284, 4555, 272, 837, 11149, 407, 284, 14441, 38705, 1522, 9353, 1088, 465, 840, 837, 290, 616, 2802, 2859, 1484, 5223, 284, 766, 284, 262, 1334, 286, 607, 10650, 764, 15506, 345, 705, 260, 5762, 257, 845, 2726, 5408, 837, 10148, 4555, 272, 531, 837, 8978, 616, 1735, 757, 764, 15506, 1312, 373, 14516, 326, 1312, 19059, 1728, 13675, 284, 616, 1641, 764, 5562, 612, 389, 2594, 1312, 460, 2148, 764, 10148, 15506, 780, 286, 534, 40079, 5633, 10148, 72, 14464, 764, 15506, 340, 857, 13551, 257, 2565, 286, 12990, 284, 530, 705, 82, 1641, 290, 2460, 837, 10148, 339, 4987, 764, 15506, 655, 307, 8161, 326, 345, 466, 299, 470, 1577, 287, 284, 262, 14934, 286, 340, 764, 5562, 345, 423, 587, 1813, 257, 6979, 837, 772, 611, 1854, 460, 407, 2648, 287, 340, 837, 857, 407, 29889, 663, 1988, 764, 12583, 534, 1204, 837, 17004, 837, 262, 867, 812, 286, 340, 837, 290, 307, 14066, 764, 10148, 15506, 468, 326, 9408, 3111, 329, 345, 5633, 10148, 15506, 617, 1528, 1365, 621, 1854, 837, 10148, 339, 6848, 837, 788, 27846, 379, 502, 764, 15506, 1312, 7048, 345, 705, 297, 761, 13017, 2582, 5633, 10148, 15506, 1312, 705, 76, 257, 2576, 837, 407, 257, 4273, 764, 4360, 837, 39659, 837, 3763, 764, 72, 2495, 881, 1464, 466, 764, 10148, 72, 12070, 257, 1021, 284, 262, 7888, 2042, 23938, 2029, 616, 11384, 764, 15506, 389, 345, 1464, 14720, 5633, 72, 716, 1464, 14720, 764, 10148, 15506, 750, 345, 4483, 12607, 5633, 10148, 15506, 1312, 550, 636, 286, 257, 19468, 5708, 2318, 878, 3047, 764, 10148, 2788, 272, 11686, 465, 2951, 764, 15506, 326, 1244, 4727, 1223, 837, 10148, 339, 531, 837, 475, 47673, 12004, 257, 44511, 287, 674, 4571, 764, 1169, 1862, 2415, 837, 508, 714, 299, 470, 423, 587, 517, 621, 29095, 837, 373, 12049, 837, 588, 477, 262, 4043, 364, 837, 287, 1182, 12, 1462, 12, 44579, 2042, 764, 7091, 373, 14005, 837, 290, 257, 5202, 286, 3892, 2266, 4190, 31896, 1973, 607, 12450, 764, 12518, 673, 4251, 514, 837, 673, 7083, 257, 6616, 37973, 26473, 9639, 351, 45334, 288, 6, 37600, 411, 3812, 4555, 272, 764, 15506, 644, 423, 356, 1392, 5633, 10148, 72, 1965, 837, 2951, 21976, 262, 458, 1436, 764, 15506, 1312, 2911, 612, 705, 82, 1223, 351, 21385, 764, 273, 10360, 979, 315, 1462, 764, 72, 705, 67, 1011, 1997, 30703, 393, 21603, 764, 10148, 15506, 345, 705, 260, 4555, 272, 837, 826, 5633, 10148, 72, 13663, 616, 17841, 422, 644, 3114, 588, 10360, 979, 315, 1462, 12, 29988, 1496, 355, 1845, 31111, 357, 4776, 5145, 1267, 392, 1043, 262, 44511, 532, 607, 6016, 4171 ]

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

[ 1194, 2239, 5699, 284, 607, 764, 265, 530, 966, 287, 640, 13665, 38720, 550, 587, 262, 691, 1048, 607, 13467, 837, 326, 373, 407, 523, 783, 764, 1662, 618, 257, 7496, 705, 82, 1204, 373, 319, 262, 1627, 764, 258, 1107, 750, 407, 765, 284, 423, 284, 1494, 465, 3956, 837, 475, 339, 561, 466, 644, 373, 3306, 284, 1394, 607, 3338, 764, 44009, 38720, 705, 82, 2951, 36405, 4622, 837, 475, 339, 10764, 23994, 1497, 422, 606, 764, 3699, 2616, 2714, 503, 607, 1021, 837, 12598, 262, 1402, 8465, 279, 23048, 326, 8290, 342, 2921, 607, 764, 372, 5422, 37813, 355, 673, 18484, 866, 379, 340, 837, 10953, 1509, 321, 287, 607, 2951, 764, 15506, 339, 2921, 428, 284, 345, 5633, 10148, 7091, 25029, 764, 15506, 523, 345, 561, 760, 326, 345, 714, 3774, 502, 837, 326, 1312, 373, 5149, 262, 3872, 764, 14108, 2988, 468, 1900, 644, 1312, 716, 1201, 356, 1138, 837, 339, 31976, 502, 257, 7496, 837, 290, 1312, 761, 345, 284, 3774, 502, 1165, 764, 10148, 372, 9353, 547, 39228, 4622, 355, 673, 9660, 9091, 625, 262, 8465, 8223, 1182, 764, 372, 2951, 1625, 6364, 510, 284, 8290, 342, 705, 82, 837, 257, 2060, 11626, 18859, 1479, 764, 15506, 340, 373, 616, 2802, 705, 82, 837, 339, 561, 1239, 1577, 340, 284, 2687, 339, 750, 299, 470, 3774, 764, 10148, 16057, 342, 21122, 262, 11626, 422, 607, 19353, 2162, 465, 2832, 551, 11379, 276, 25144, 355, 339, 2900, 465, 3241, 736, 284, 465, 3956, 764, 15506, 290, 460, 339, 3774, 345, 5633, 10148, 258, 1965, 26625, 764, 15506, 612, 389, 867, 1243, 345, 466, 299, 470, 760, 546, 502, 8290, 342, 837, 867, 1243, 345, 423, 1239, 1900, 837, 10148, 13665, 38720, 531, 26625, 764, 15506, 1312, 460, 766, 326, 837, 475, 460, 339, 3774, 345, 837, 460, 1312, 3774, 345, 5633, 10148, 44009, 38720, 14464, 6364, 764, 15506, 611, 345, 765, 607, 3747, 355, 881, 355, 607, 2988, 290, 1312, 466, 837, 621, 3763, 837, 345, 460, 3774, 502, 764, 10148, 16057, 342, 9713, 683, 7773, 837, 407, 379, 477, 9431, 416, 465, 2456, 764, 15506, 644, 373, 4385, 284, 1645, 611, 345, 714, 299, 470, 651, 607, 837, 393, 3511, 837, 503, 286, 994, 11512, 5633, 10148, 44009, 38720, 23831, 736, 837, 29909, 465, 2832, 2157, 683, 837, 465, 2951, 6507, 290, 12296, 764, 15506, 611, 1312, 716, 5906, 284, 651, 514, 1111, 284, 3747, 837, 1312, 716, 284, 2666, 837, 523, 326, 21970, 460, 1282, 994, 764, 10148, 15506, 12226, 502, 5633, 10148, 3699, 2616, 1965, 18939, 837, 607, 1182, 35733, 510, 379, 13665, 38720, 705, 82, 2456, 764, 44009, 38720, 373, 10574, 329, 257, 2589, 837, 290, 788, 465, 12450, 48560, 4622, 355, 339, 4966, 465, 1021, 832, 465, 4190, 764, 15506, 339, 750, 299, 470, 765, 284, 2526, 6078, 514, 1111, 764, 361, 1312, 714, 299, 470, 651, 345, 1479, 788, 1312, 373, 284, 1441, 284, 262, 16479, 290, 339, 373, 1016, 284, 2897, 2241, 287, 3292, 329, 345, 764, 10148, 3699, 2616, 705, 82, 8033, 465, 36622, 503, 286, 607, 837, 607, 2832, 47344, 1088, 262, 22429, 415, 764, 15506, 326, 705, 82, 7165, 5145, 22850, 561, 339, 466, 884, 257, 1517, 5145, 5633, 10148, 15506, 780, 339, 10408, 345, 837, 780, 345, 389, 465, 1200, 764, 13893, 339, 561, 2138, 1577, 465, 898, 1204, 621, 892, 286, 345, 355, 257, 2910, 11778, 764, 10148, 3699, 2616, 14682, 607, 1182, 8902, 764, 15506, 645, 837, 339, 1275, 299, 470, 466, 326, 5145, 8117, 389, 4138, 286, 584, 3160, 326, 4745, 319, 683, 837, 326, 954, 319, 683, 837, 326, 761, 683, 764, 3810, 318, 2147, 3688, 284, 326, 764, 22366, 5145, 258, 4206, 1365, 621, 284, 466, 1223, 523, 19538, 5145, 10148, 44009, 38720, 655, 9713, 607, 24595, 764, 16057, 342, 373, 5906, 284, 14441, 465, 2000, 1088, 262, 2456, 326, 13665, 38720, 550, 655, 36144, 764, 64, 2988, 326, 561, 1577, 465, 1204, 329, 465, 1200, 837, 340, 373, 7165, 284, 683, 837, 36511, 286, 837, 3684, 32910, 540, 764, 258, 18484, 379, 257, 380, 7697, 705, 82, 954, 36368, 837, 10820, 262, 24444, 900, 286, 607, 19218, 837, 290, 262, 2046, 287, 607, 6016, 2951, 764, 8117, 373, 257, 15299, 286, 4202, 290, 11917, 326, 4966, 832, 607, 326, 373, 1111, 37959, 290, 4622, 23101, 764, 7091, 373, 36138, 837, 22053, 837, 257, 3514, 284, 5223, 837, 290, 673, 2622, 284, 307, 6861, 422, 262, 23152, 286, 262, 995, 764, 1462, 1577, 465, 1204, 329, 607, 750, 407, 1283, 523, 7165, 837, 750, 407, 1283, 48943, 1290, 50012, 764, 270, 373, 257, 6283, 23258, 837, 530, 339, 550, 1239, 5924, 878, 837, 290, 550, 1239, 2938, 284, 764, 1640, 607, 837, 339, 714, 466, 1997, 764, 10197, 766, 764, 5562, 3872, 7425, 683, 18939, 764, 270, 21376, 656, 465, 12500, 355, 465, 2832, 37257, 1088, 25144, 764, 258, 2936, 326, 373, 262, 1738, 326, 339, 714, 766, 618, 339, 373, 1474, 607, 764, 18927, 2641, 286, 683, 550, 7599, 8018, 607, 4437, 355, 16686, 351, 683, 837, 290, 550, 1775, 508, 673, 373, 764, 392, 788, 837, 780, 339, 550, 2622, 284, 766, 262, 1986, 2157, 262, 6016, 4437, 523, 11234, 837, 465, 2951, 550, 3443, 3111, 1576, 284, 787, 607, 503, 2402, 262, 3800, 764, 392, 339, 561, 1464, 307, 1498, 284, 787, 607, 503, 2162, 339, 561, 1464, 307, 1498, 284, 1064, 607, 764, 15506, 339, 4206, 1365, 837, 10148, 13665, 38720, 531, 26625, 764, 15506, 475, 339, 857, 407, 1337, 837, 407, 618, 340, 2058, 284, 345, 764, 361, 1312, 714, 299, 470, 6758, 287, 8914, 345, 837, 1312, 373, 284, 1949, 329, 3509, 837, 290, 788, 13703, 284, 262, 16479, 764, 271, 3509, 991, 6776, 5633, 10148, 15506, 3763, 837, 10148, 257, 380, 7697, 25029, 837, 607, 3809, 4622, 39283, 351, 6380, 764, 15506, 479, 265, 22267, 468, 683, 837, 10148, 8290, 342, 531, 26625, 764, 44009, 38720, 14464, 764, 15506, 673, 1244, 307, 2408, 837, 475, 1312, 705, 76, 1654, 1312, 705, 297, 307, 1498, 284, 651, 284, 683, 764, 14108, 2988, 481, 407, 423, 284, 1282, 329, 345, 764, 10148, 15506, 339, 373, 1016, 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 ]

[ 587, 14005, 837, 290, 339, 15240, 339, 705, 67, 19064, 607, 764, 29810, 618, 673, 373, 18894, 607, 23361, 656, 262, 12983, 286, 465, 30389, 355, 339, 1718, 607, 422, 2157, 837, 339, 16453, 326, 673, 750, 299, 470, 423, 262, 4202, 286, 257, 3222, 408, 764, 270, 373, 355, 611, 339, 547, 2111, 284, 6314, 607, 284, 683, 832, 41764, 286, 1714, 12, 13893, 465, 584, 4040, 4120, 284, 307, 9894, 764, 2016, 673, 705, 67, 3947, 17170, 3772, 284, 307, 351, 683, 837, 588, 9975, 379, 262, 2318, 837, 339, 705, 67, 39243, 281, 739, 392, 1477, 88, 2162, 9105, 25615, 287, 607, 764, 392, 339, 550, 691, 734, 1528, 1364, 878, 607, 6621, 561, 1441, 329, 607, 764, 563, 67, 20282, 2622, 299, 844, 705, 82, 5608, 837, 475, 673, 705, 67, 587, 848, 418, 392, 1477, 88, 2162, 264, 856, 284, 17276, 625, 262, 938, 1178, 1528, 764, 258, 550, 262, 8429, 837, 290, 340, 373, 640, 284, 5352, 1096, 290, 284, 719, 764, 25907, 339, 2936, 588, 339, 714, 466, 2147, 1566, 339, 705, 67, 4735, 1431, 1243, 351, 17463, 500, 12, 28446, 339, 705, 67, 29445, 607, 290, 4988, 925, 607, 465, 16599, 764, 4758, 4001, 339, 550, 284, 1282, 3424, 351, 607, 717, 2644, 764, 20286, 351, 17188, 837, 339, 3332, 33919, 3222, 9059, 355, 465, 3956, 1690, 550, 12, 1462, 374, 5173, 20282, 705, 82, 1613, 12428, 495, 764, 292, 611, 597, 286, 326, 33343, 783, 764, 258, 705, 67, 587, 523, 12270, 1327, 319, 269, 12424, 764, 392, 329, 644, 5633, 1169, 1735, 3420, 4721, 788, 764, 47350, 286, 262, 3222, 764, 19509, 306, 706, 837, 269, 12424, 336, 8375, 656, 262, 2119, 764, 15506, 345, 991, 804, 588, 427, 578, 38794, 625, 764, 4360, 1365, 621, 326, 938, 640, 379, 1551, 764, 10148, 2016, 340, 550, 1464, 587, 12916, 1022, 262, 734, 9397, 837, 783, 2279, 714, 307, 1180, 764, 1169, 1613, 373, 299, 470, 644, 484, 705, 67, 4762, 837, 290, 269, 12424, 550, 42013, 2241, 764, 12518, 269, 12424, 5710, 4291, 262, 18507, 1973, 422, 683, 837, 374, 5173, 20282, 2714, 510, 262, 9294, 287, 2897, 764, 15506, 257, 4850, 837, 475, 407, 517, 764, 10148, 27078, 374, 5173, 20282, 4328, 5263, 262, 3223, 9059, 656, 257, 5405, 837, 339, 6292, 262, 4144, 837, 25783, 3021, 837, 788, 1718, 257, 31145, 764, 15506, 345, 32064, 262, 18314, 503, 286, 502, 262, 584, 1110, 764, 10148, 14, 32064, 3589, 764, 15506, 1312, 705, 303, 3088, 284, 2800, 345, 1201, 788, 764, 10148, 15506, 1312, 705, 303, 587, 285, 544, 837, 10148, 269, 12424, 531, 2391, 764, 15506, 475, 1312, 705, 303, 587, 1364, 284, 616, 898, 3018, 528, 590, 9975, 837, 523, 1312, 1807, 1312, 705, 67, 2245, 416, 764, 10148, 258, 9713, 374, 5173, 20282, 705, 82, 1986, 764, 15506, 1312, 892, 428, 318, 810, 1312, 705, 76, 264, 6, 29813, 284, 1265, 611, 345, 765, 284, 1561, 546, 340, 764, 10148, 563, 67, 20282, 2921, 257, 12922, 6487, 764, 15506, 3863, 706, 1194, 9294, 764, 10148, 15506, 618, 750, 345, 923, 33919, 3222, 9059, 5633, 10148, 66, 12424, 1965, 764, 15506, 618, 750, 345, 2245, 5633, 10148, 15506, 645, 517, 1972, 698, 17631, 764, 72, 705, 76, 4497, 783, 837, 750, 299, 470, 345, 3285, 5633, 72, 1392, 2277, 1740, 764, 10148, 563, 67, 20282, 4376, 257, 5405, 764, 15506, 45108, 837, 3956, 837, 10148, 339, 531, 837, 22598, 326, 1243, 550, 3111, 503, 1022, 269, 12424, 290, 465, 4048, 764, 15506, 326, 705, 82, 1521, 1312, 423, 299, 470, 9373, 764, 47436, 5291, 640, 351, 262, 2051, 385, 379, 262, 649, 7964, 1312, 655, 5839, 607, 764, 77, 392, 1505, 75, 2162, 2124, 7981, 502, 326, 1312, 714, 299, 470, 1394, 2877, 287, 616, 705, 7742, 2156, 582, 12, 66, 1015, 705, 1312, 4888, 351, 686, 74, 837, 407, 611, 1312, 373, 1016, 284, 423, 289, 5098, 764, 10148, 305, 74, 373, 257, 7523, 3222, 837, 269, 12424, 705, 82, 1218, 287, 401, 392, 1477, 88, 2162, 6855, 837, 290, 257, 3734, 10686, 12, 16341, 329, 262, 1109, 326, 339, 17451, 12120, 764, 15506, 810, 318, 686, 74, 5633, 72, 423, 299, 470, 1775, 683, 416, 764, 10148, 15506, 1297, 502, 8194, 1146, 326, 1312, 1244, 407, 307, 262, 691, 530, 25446, 866, 837, 788, 339, 698, 13865, 764, 14150, 299, 470, 1775, 683, 1201, 764, 10148, 563, 67, 20282, 561, 823, 680, 4379, 262, 3996, 12, 8873, 2105, 3222, 26026, 3474, 13, 705, 10148, 72, 765, 345, 284, 8720, 1826, 289, 5098, 837, 10148, 269, 12424, 531, 764, 15506, 523, 1312, 11638, 1312, 705, 67, 1282, 416, 284, 766, 611, 345, 547, 510, 329, 1664, 764, 270, 3114, 588, 345, 550, 617, 1243, 284, 670, 832, 764, 10148, 3919, 26471, 764, 15506, 1521, 466, 299, 470, 345, 1560, 502, 644, 3022, 618, 1312, 373, 764, 492, 21260, 764, 10148, 15506, 477, 826, 788, 764, 10148, 4480, 465, 6678, 14067, 837, 465, 3956, 1297, 683, 286, 262, 7002, 284, 7128, 313, 705, 82, 837, 3307, 546, 36628, 290, 1474, 12, 22595, 32695, 837, 10181, 351, 2710, 1377, 551, 1187, 290, 2046, 17708, 764, 4360, 618, 269, 12424, 6619, 546, 465, 649, 3656, 837, 465, 2104, 40309, 3421, 764, 14363, 5405, 286, 20030, 1816, 329, 12, 7891, 319, 262, 3084, 764, 15506, 356, 2993, 703, 4451, 673, 318, 764, 4360, 508, 2993, 703, 17144, 257, 48251, 714, 307, 5633, 10148, 15506, 703, 750, 345, 651, 262, 8429, 5633, 10148, 15506, 1312, 550, 284, 1577, 607, 284, 7128, 313, 329, 340, 764, 28895, 345, 705, 67, 307, 6613, 286, 502, 329, 1642, 257, 11728, 329, 1752, 287, 616, 1204, 764, 72, 1807, 286, 345, 837, 286, 262, 13239, 837, 290, 262, 661, 764, 24219, 837, 1312, 373, 5410, 319, 2263, 607, 826, 736, 837, 475, 262, 31030, 42608, 502, 2644, 764, 10148, 706, 269, 12424, 47968, 2279, 326, 550, 3022, 764, 563, 67, 20282, 714, 8941, 5967, 703, 12132, 340, 561, 705, 303, 587, 284, 766, 262, 26281, 804, 319, 262, 1986, 286, 262, 2415, 339, 705, 67, 9292, 329, 523, 3190, 764, 10197, 996, 269, 12424, 550, 257, 1410, 284, 3613 ]

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

[ 9768, 13, 10062, 20481, 9638, 318, 530, 286, 262, 3478, 1526, 291, 26186, 8108, 5535, 5665, 357, 505, 286, 262, 4387, 2055, 4152, 12815, 287, 262, 1578, 1829, 8, 326, 3769, 9856, 6443, 290, 16433, 3047, 284, 262, 38935, 8830, 27953, 9643, 3265, 286, 517, 621, 33015, 11, 830, 5085, 13, 198, 198, 12832, 36920, 873, 220, 198, 11838, 278, 281, 2811, 286, 1478, 11, 830, 2444, 583, 614, 11, 17228, 4093, 4394, 6409, 11602, 7370, 11, 6403, 4351, 22867, 11, 290, 3294, 16976, 10703, 4056, 13, 554, 3090, 11, 262, 4152, 318, 262, 1363, 284, 262, 2520, 15045, 16023, 3337, 13, 2734, 8448, 389, 7817, 416, 517, 621, 5867, 6623, 290, 44737, 12829, 13, 13475, 1398, 2546, 10874, 286, 6702, 1160, 12, 2624, 12, 43082, 2444, 583, 21187, 13, 198, 198, 464, 4152, 318, 37237, 416, 262, 16038, 18252, 4513, 13, 198, 198, 33, 1229, 34929, 30038, 3337, 220, 198, 818, 262, 2121, 286, 2813, 11, 10062, 20481, 9638, 8108, 5535, 4721, 262, 23627, 34929, 30038, 3337, 287, 262, 8308, 46353, 2656, 23627, 34929, 4479, 3334, 3961, 2615, 379, 412, 888, 8878, 290, 860, 400, 3530, 287, 9436, 23627, 34929, 13, 220, 383, 7611, 3769, 8233, 10902, 11, 1693, 3047, 4056, 11, 290, 2055, 3707, 6097, 13, 198, 198, 41506, 6117, 220, 628, 15934, 3052, 198, 220, 198, 198, 7676, 291, 26186, 3418, 8108, 5535, 5665, 198, 33380, 864, 6712, 4920, 287, 9768, 198, 20012, 15273, 287, 7943, 198, 3118, 1191, 871, 290, 15273, 287, 1526, 291, 26186, 3418, 11, 7943, 198, 23847, 33228, 287, 7943, 464, 3517, 35275, 48066, 11937, 15302, 11, 4143, 1900, 290, 23546, 355, 3517, 35275, 48066, 11, 318, 262, 2260, 5701, 15030, 1767, 329, 262, 6332, 286, 11367, 48066, 287, 262, 1578, 7526, 13, 198, 198, 464, 36986, 373, 9393, 287, 2795, 15904, 11, 290, 318, 257, 2888, 286, 262, 314, 19238, 13, 198, 198, 18122, 198, 198, 18122, 286, 35275, 48066, 287, 3482, 878, 262, 16494, 37, 198, 46, 8289, 48066, 373, 5495, 284, 262, 3482, 287, 262, 11445, 82, 290, 373, 7272, 4855, 416, 22140, 7001, 1547, 1390, 1757, 3167, 1636, 290, 5180, 1709, 31218, 13, 383, 1903, 812, 547, 4193, 416, 11367, 47619, 422, 10710, 25, 287, 20033, 21770, 705, 49, 461, 6, 406, 32270, 31985, 286, 262, 29679, 35275, 48066, 6289, 1625, 284, 8838, 284, 1037, 1205, 262, 6332, 13, 770, 45200, 287, 262, 717, 12184, 852, 2714, 287, 1737, 20033, 379, 5648, 365, 335, 11, 290, 262, 9978, 286, 262, 11905, 35275, 48066, 5396, 13, 198, 198, 18602, 9692, 422, 10710, 3017, 2365, 509, 73, 695, 2536, 9101, 76, 11, 257, 3367, 286, 23720, 31855, 9119, 978, 7785, 509, 73, 695, 2536, 9101, 76, 13, 509, 73, 695, 2536, 9101, 76, 2826, 281, 1593, 2597, 287, 262, 2478, 286, 262, 6332, 290, 4193, 284, 22636, 13312, 287, 11367, 48066, 5449, 11, 16855, 290, 13101, 13, 509, 73, 695, 2536, 9101, 76, 3724, 287, 257, 2975, 5778, 1903, 287, 262, 614, 286, 15904, 13, 198, 42830, 2497, 262, 717, 2365, 509, 73, 695, 2536, 9101, 76, 4037, 11117, 286, 35275, 48066, 393, 366, 41, 42, 1600, 2714, 287, 4088, 286, 509, 73, 695, 2536, 9101, 76, 13, 11450, 326, 614, 262, 3517, 35275, 48066, 11937, 373, 7042, 416, 262, 45541, 14755, 286, 262, 3594, 290, 11905, 3928, 602, 3756, 284, 262, 717, 3517, 35275, 48066, 24782, 2714, 379, 4345, 1706, 1636, 9115, 13, 198, 198, 3260, 262, 44593, 286, 16494, 37, 198, 3152, 262, 3349, 286, 262, 6332, 16494, 37, 373, 9393, 287, 15904, 11, 290, 3767, 284, 1205, 13, 1318, 547, 1105, 2260, 290, 7915, 15814, 416, 16101, 26, 262, 3517, 20357, 35275, 48066, 5396, 9679, 287, 8735, 618, 340, 373, 7042, 284, 7719, 11367, 48066, 287, 4266, 13, 383, 11937, 338, 9931, 550, 4251, 1088, 838, 11, 830, 416, 7795, 290, 262, 3430, 9931, 550, 3220, 284, 517, 6640, 9784, 13, 198, 198, 1273, 5620, 198, 464, 36986, 318, 925, 510, 286, 28306, 39384, 15814, 11, 530, 1123, 329, 8838, 11, 11769, 11, 290, 8342, 7517, 26, 5193, 329, 262, 3594, 7652, 26, 290, 262, 3517, 20357, 35275, 48066, 5396, 13, 383, 5193, 3594, 7652, 389, 635, 12688, 286, 262, 3594, 35275, 48066, 4281, 357, 36, 4503, 737, 198, 198, 464, 15814, 389, 25, 198, 198, 24553, 278, 198, 24553, 278, 318, 41889, 422, 1115, 4237, 25, 198, 37691, 3432, 416, 1981, 1866, 290, 9784, 198, 8558, 23145, 444, 3432, 416, 2995, 6823, 351, 3517, 35275, 48066, 13, 198, 12181, 4918, 422, 12771, 4492, 290, 12771, 8342, 7517, 13, 198, 14282, 7264, 4918, 422, 3482, 12771, 468, 24368, 11, 287, 2219, 351, 867, 584, 1729, 12, 46, 6760, 291, 5701, 13, 198, 198, 29168, 590, 198, 464, 3517, 35275, 48066, 11937, 318, 21825, 416, 257, 3096, 286, 13445, 11, 290, 832, 257, 1271, 286, 19702, 2628, 9899, 416, 262, 5926, 11, 9505, 25, 198, 1766, 8103, 198, 7712, 198, 18715, 290, 38558, 1756, 198, 29505, 290, 15193, 198, 13069, 35275, 48066, 220, 198, 17582, 23943, 5926, 198, 32404, 290, 6895, 15703, 13493, 198, 198, 464, 3096, 286, 13445, 318, 44170, 416, 18624, 6656, 27343, 13, 383, 4039, 4640, 318, 5613, 11345, 13, 383, 3096, 11185, 546, 1440, 393, 1936, 1661, 257, 614, 13, 198, 198, 6214, 635, 220, 198, 3517, 11367, 47619, 198, 198, 19927, 628, 220, 198, 35, 23552, 893, 10695, 360, 2040, 198, 24274, 35275, 48066, 11937, 1866, 198, 26121, 38189, 1912, 287, 9626, 48209, 10695, 198, 18153, 5745, 4920, 287, 15904, 198, 46, 8289, 48066, 287, 262, 1578, 7526, 198, 42576, 287, 9626, 48209, 10695, 198, 46, 8289, 48066, 198, 42830, 33228, 287, 262, 1578, 7526, 30099, 3245, 3418, 12690, 220, 318, 257, 1171, 779, 9003, 287, 7011, 3245, 3418, 11, 6835, 11, 1578, 1829, 13, 632, 318, 5140, 1115, 299, 37073, 4608, 357, 21, 1849, 13276, 8, 24821, 286, 262, 4318, 1597, 4783, 286, 38167, 11, 262, 7968, 5852, 13, 383, 9003, 318, 6898, 416, 262, 7011, 3245, 3418, 48053, 13, 198, 198, 7003, 749, 471, 13, 50, 13, 22600, 779, 262, 976, 1115, 12, 9291, 4067, 27421, 329, 262, 26228, 290, 314, 13563, 11, 428, 9003, 318, 8686, 406, 41275, 416, 262, 26228, 475, 468, 645, 22566 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 281, 2230, 284, 1064, 262, 16570, 284, 989, 262, 29979, 11, 475, 14716, 4962, 319, 257, 3195, 11, 543, 318, 2712, 257, 8830, 13, 11336, 3651, 366, 1858, 338, 257, 3095, 1136, 287, 257, 3091, 9389, 502, 284, 257, 24662, 1, 290, 3434, 262, 3195, 900, 13, 3806, 19559, 11, 11336, 11, 3612, 339, 318, 287, 1210, 12, 1659, 12, 1169, 12, 14792, 7011, 43558, 11, 318, 10416, 290, 12008, 416, 44820, 11, 355, 880, 355, 661, 338, 6283, 277, 1077, 507, 13, 6366, 23961, 10609, 257, 11575, 379, 257, 2415, 3011, 262, 3241, 286, 262, 1644, 11, 508, 1441, 683, 284, 37016, 13, 17962, 284, 13180, 644, 468, 3022, 11, 11336, 13267, 284, 36659, 378, 284, 15904, 3442, 416, 38013, 572, 465, 21213, 290, 5762, 517, 3660, 8242, 11, 543, 1838, 683, 804, 845, 881, 588, 465, 31845, 7148, 357, 14508, 2826, 416, 2940, 2763, 737, 2293, 617, 10802, 11, 11336, 13267, 340, 318, 1266, 407, 284, 10538, 465, 1641, 290, 8956, 503, 319, 465, 898, 416, 2263, 257, 4512, 284, 2986, 6033, 11, 475, 318, 5025, 416, 37016, 11, 508, 9120, 728, 465, 2988, 284, 2107, 351, 683, 290, 484, 481, 1011, 257, 5474, 284, 2986, 6033, 287, 1502, 284, 1037, 905, 326, 11336, 468, 587, 1813, 257, 3748, 6979, 11, 257, 2863, 284, 766, 262, 15921, 286, 465, 5270, 338, 24601, 832, 262, 14901, 286, 262, 6846, 1160, 400, 13641, 13, 383, 5407, 3818, 508, 40394, 11336, 338, 3684, 631, 9510, 6622, 11336, 11, 37016, 290, 7148, 284, 257, 1181, 22780, 719, 11, 355, 262, 5407, 857, 407, 4601, 329, 428, 284, 307, 1171, 1566, 262, 3315, 16812, 460, 3938, 24772, 1521, 11336, 11803, 13, 1649, 1297, 262, 1502, 1625, 422, 262, 1353, 11, 11336, 20067, 366, 361, 1992, 31946, 1636, 1139, 523, 340, 318, 922, 1576, 329, 502, 2474, 198, 198, 464, 14733, 19254, 1088, 703, 11336, 373, 7099, 11, 1111, 287, 5585, 290, 9408, 11, 621, 1111, 465, 3367, 11, 508, 373, 8275, 357, 5420, 14226, 771, 287, 262, 8022, 828, 475, 635, 465, 31845, 7148, 11, 508, 379, 4747, 373, 262, 2748, 2479, 379, 543, 11336, 550, 12120, 290, 587, 17232, 11, 290, 508, 373, 257, 1474, 4274, 329, 465, 17695, 357, 1662, 6452, 11, 355, 1111, 3435, 547, 19152, 416, 2940, 2763, 737, 27419, 22000, 284, 477, 286, 262, 3037, 286, 262, 3660, 6980, 7263, 11, 11336, 11, 508, 373, 281, 1527, 540, 11, 1657, 12, 20122, 3297, 11, 373, 287, 617, 2842, 517, 379, 1363, 287, 465, 649, 995, 621, 37016, 13, 3819, 1661, 340, 561, 711, 319, 703, 1111, 1450, 550, 4936, 276, 12, 2902, 2842, 11, 475, 703, 11336, 318, 5716, 10338, 621, 37016, 329, 340, 11, 884, 355, 618, 11336, 14358, 816, 6532, 278, 290, 8028, 257, 1862, 2415, 416, 2263, 607, 503, 319, 257, 3128, 287, 257, 8223, 290, 46542, 11, 284, 543, 339, 318, 5716, 355, 281, 1468, 12, 28776, 14348, 13, 198, 198, 3041, 4516, 198, 464, 2168, 9859, 21658, 4633, 8088, 11, 475, 44119, 351, 1913, 10109, 13, 2750, 3267, 11, 2158, 11, 262, 2168, 5710, 284, 262, 4220, 1679, 13, 554, 2805, 15963, 11, 262, 2168, 373, 3888, 284, 3635, 12513, 357, 35666, 4092, 9827, 8, 475, 373, 19994, 416, 9738, 257, 1310, 517, 621, 257, 1285, 1568, 13, 198, 198, 23758, 1351, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 220, 198, 198, 7437, 32250, 5834, 2656, 8300, 198, 38503, 82, 1605, 9048, 3783, 10165, 5581, 2168, 198, 38503, 82, 1605, 37521, 82, 198, 42830, 1605, 5581, 2168, 1915, 5500, 198, 42246, 1605, 5581, 2168, 38168, 198, 6767, 5024, 2168, 546, 4172, 198, 6767, 5024, 2168, 416, 15216, 30196, 198, 6767, 5024, 2168, 416, 10184, 20051, 21516, 198, 6767, 5024, 2523, 900, 287, 3442, 53, 10102, 327, 10071, 304, 5452, 270, 418, 318, 257, 3026, 28830, 287, 262, 27264, 286, 2409, 5276, 418, 11, 19101, 13, 632, 373, 7042, 287, 2211, 416, 262, 24589, 286, 262, 1966, 1582, 5614, 569, 10102, 327, 10071, 290, 5452, 270, 418, 13, 383, 3265, 287, 2813, 373, 362, 11, 20, 2414, 11, 287, 281, 1989, 286, 1315, 13, 4790, 1849, 13276, 31185, 13, 198, 198, 19927, 198, 198, 10044, 5614, 286, 2409, 5276, 418, 11, 19101, 44095, 3575, 1012, 263, 591, 318, 281, 1605, 15108, 29695, 2646, 4635, 416, 11733, 5844, 602, 326, 28539, 34898, 31750, 290, 29799, 37729, 11, 262, 5259, 934, 15607, 3650, 44115, 422, 6260, 14, 35248, 7939, 4176, 338, 1012, 263, 591, 13, 7328, 11, 355, 8865, 23528, 20618, 287, 262, 2907, 6176, 2056, 8663, 11, 287, 257, 35704, 286, 1111, 6608, 13, 198, 198, 464, 2646, 373, 19332, 329, 262, 5816, 15934, 2907, 6176, 13836, 13741, 15434, 11, 290, 1839, 262, 23535, 6536, 13, 198, 198, 43328, 198, 4821, 284, 262, 1743, 3992, 2524, 11, 366, 44095, 3575, 1012, 263, 591, 318, 257, 29695, 17090, 262, 3435, 422, 7939, 4176, 338, 1012, 263, 591, 6881, 351, 262, 6460, 290, 3435, 287, 4502, 15257, 338, 2907, 6176, 6881, 526, 198, 198, 43476, 13022, 198, 47438, 1012, 263, 591, 25, 383, 7547, 12, 12502, 36923, 532, 770, 7795, 2823, 12, 1640, 12, 9442, 27702, 286, 262, 9162, 1012, 263, 591, 3807, 12268, 373, 262, 717, 47438, 1012, 263, 591, 1628, 4635, 416, 11733, 5844, 602, 13, 1012, 263, 591, 3437, 7939, 4176, 11, 2630, 262, 16294, 281, 304, 12, 4529, 706, 4964, 262, 12268, 2691, 11, 12577, 606, 284, 466, 517, 351, 262, 29695, 611, 484, 7690, 13, 198, 47438, 1012, 263, 591, 25, 383, 36492, 1881, 12, 28512, 532, 2142, 314, 532, 11204, 1297, 326, 511, 3946, 389, 287, 25830, 2233, 284, 2005, 10146, 11, 8865, 23528, 20618, 34898, 290, 371, 7642, 21030, 319, 257, 1235, 284, 8711, 262, 5830, 2907, 3352, 416, 12965, 262, 4429, 338, 26455, 18545, 287, 3047, 11, 31152, 9180, 290, 31152, 5811, 13, 31152, 9180, 318, 19152, 355, 31152, 40580, 422, 7922, 314, 11, 351, 262, 2042, 28806, 319, 465, 1986, 287, 262, 5485, 286, 257, 9499, 12835, 13, 31152, 5811, 318, 1912, 319, 31152, 15686, 699, 11, 290, 318, 6412, 284, 355, 366, 15086, 298, 3175, 8071, 500, 1911, 198, 47438, 1012, 263, 591, 25, 383, 36492, 1881 ]

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

[ 4400, 6915, 290, 1642, 4710, 287, 257, 3989, 764, 1169, 2607, 845, 881, 37657, 465, 2460, 2877, 2119, 379, 1363, 837, 351, 20316, 422, 45630, 272, 2106, 290, 15343, 286, 3835, 20883, 262, 6409, 3223, 4898, 20726, 764, 1169, 4252, 44193, 832, 262, 4324, 35254, 837, 3501, 262, 1468, 649, 331, 967, 1254, 286, 262, 2119, 257, 11173, 286, 2568, 764, 73, 14822, 714, 766, 2241, 6039, 276, 510, 287, 257, 2119, 588, 428, 339, 1807, 340, 373, 2495, 37438, 764, 1659, 1781, 837, 1306, 284, 465, 2248, 837, 262, 2057, 2184, 286, 262, 11376, 1181, 42433, 17374, 2936, 37438, 764, 67, 1069, 353, 42547, 4003, 11223, 487, 13819, 832, 262, 3420, 1566, 465, 3420, 373, 4838, 351, 257, 4735, 3904, 837, 12013, 503, 262, 2354, 20749, 764, 72, 2911, 345, 260, 407, 33045, 674, 6306, 837, 11223, 487, 531, 837, 6666, 44405, 284, 1210, 465, 1182, 290, 1969, 262, 1492, 2952, 764, 73, 14822, 714, 766, 340, 373, 530, 286, 883, 2042, 290, 2330, 11742, 3835, 326, 2368, 3915, 364, 779, 329, 511, 644, 1312, 750, 428, 3931, 22790, 764, 37739, 837, 1312, 716, 837, 339, 531, 764, 10919, 1611, 286, 18026, 561, 1312, 307, 611, 1312, 42547, 5633, 10919, 611, 2130, 7228, 340, 5633, 258, 1107, 42547, 765, 4406, 286, 511, 670, 5586, 1088, 837, 290, 465, 17131, 36649, 3077, 329, 257, 2589, 764, 9930, 28329, 837, 44405, 531, 287, 257, 4268, 12, 270, 8216, 764, 10919, 389, 345, 1804, 994, 5633, 4919, 67, 262, 9965, 467, 5633, 2032, 27428, 306, 837, 339, 531, 837, 736, 319, 7243, 837, 13413, 37514, 262, 3989, 278, 16418, 6807, 287, 319, 764, 27903, 621, 14899, 306, 837, 287, 1109, 764, 10919, 466, 345, 892, 546, 428, 5633, 292, 2081, 45630, 272, 12650, 1747, 837, 795, 38001, 290, 1312, 2897, 284, 3677, 262, 3869, 284, 262, 895, 342, 35202, 837, 772, 996, 880, 651, 1290, 1342, 329, 340, 621, 356, 1244, 319, 262, 1280, 1910, 764, 18223, 1621, 837, 24926, 5633, 2197, 1521, 561, 345, 765, 284, 466, 326, 5633, 392, 1521, 561, 345, 892, 29294, 772, 281, 3038, 5633, 66, 43846, 3840, 837, 11223, 487, 531, 837, 5586, 866, 287, 257, 29784, 13510, 5118, 1973, 422, 44405, 764, 11085, 837, 4844, 286, 514, 1392, 656, 428, 329, 262, 1637, 2644, 47350, 329, 3511, 837, 44405, 531, 837, 14376, 764, 320, 26471, 764, 2188, 319, 764, 23108, 286, 514, 1392, 656, 428, 329, 262, 1637, 837, 290, 8781, 1986, 340, 837, 326, 3869, 14448, 379, 262, 895, 342, 35202, 764, 896, 281, 45630, 272, 14068, 764, 5832, 460, 7267, 326, 287, 428, 3950, 340, 14448, 287, 262, 895, 342, 35202, 764, 259, 262, 2656, 3950, 837, 262, 3869, 14448, 2626, 8097, 764, 73, 14822, 24487, 290, 2714, 510, 257, 7660, 837, 2048, 14284, 503, 286, 465, 5852, 764, 1219, 2644, 2801, 651, 284, 262, 13527, 3950, 5114, 287, 257, 2589, 764, 3137, 2652, 351, 502, 2644, 663, 281, 45630, 272, 14068, 764, 1662, 326, 547, 2045, 284, 307, 10281, 837, 475, 340, 561, 787, 329, 3621, 1803, 287, 428, 1499, 611, 2130, 373, 429, 1637, 12, 2164, 549, 4623, 290, 2045, 284, 1011, 281, 4621, 764, 8524, 1521, 407, 655, 1577, 340, 284, 262, 895, 342, 35202, 5633, 4053, 837, 547, 407, 8531, 2035, 837, 11223, 487, 531, 764, 425, 991, 1392, 2267, 284, 1814, 764, 9541, 837, 262, 3437, 286, 262, 13257, 286, 45630, 272, 2106, 1138, 514, 379, 33826, 444, 290, 4438, 514, 1936, 1510, 329, 262, 3869, 764, 19052, 356, 772, 4750, 1997, 546, 1637, 764, 13261, 1510, 5633, 73, 14822, 6810, 326, 44405, 373, 22292, 465, 20922, 656, 530, 286, 465, 6915, 3197, 364, 764, 3919, 837, 2666, 326, 503, 4686, 588, 284, 766, 340, 764, 4299, 3014, 306, 837, 44405, 3940, 832, 351, 5137, 340, 656, 262, 33451, 837, 788, 8970, 340, 510, 351, 257, 1402, 1994, 764, 258, 2900, 290, 900, 262, 1994, 739, 257, 38957, 2876, 259, 5586, 319, 262, 18316, 2157, 683, 764, 896, 616, 3989, 837, 339, 531, 764, 896, 407, 23507, 284, 1265, 284, 804, 379, 14366, 22790, 764, 38159, 6508, 318, 326, 5633, 1219, 837, 345, 297, 588, 428, 837, 44405, 531, 837, 10868, 510, 262, 2876, 259, 290, 49889, 340, 764, 5661, 6508, 19611, 284, 2276, 450, 1008, 15229, 323, 764, 271, 429, 339, 262, 3516, 326, 15646, 9669, 5633, 3919, 837, 29294, 474, 1047, 12385, 1042, 342, 764, 24622, 15229, 323, 318, 18141, 351, 8067, 278, 9283, 764, 5661, 2876, 259, 373, 257, 6979, 284, 683, 422, 257, 3585, 837, 1312, 1975, 465, 7711, 837, 290, 373, 3804, 866, 832, 1811, 10439, 764, 72, 8155, 340, 379, 14389, 546, 1115, 812, 2084, 764, 1219, 10194, 837, 12385, 1042, 342, 764, 1169, 47565, 46530, 764, 400, 1381, 826, 764, 4053, 837, 663, 287, 1049, 5485, 764, 72, 481, 9159, 326, 663, 587, 15032, 837, 44405, 531, 837, 12560, 262, 2876, 259, 736, 319, 262, 18316, 764, 1462, 307, 5508, 837, 545, 3734, 351, 262, 1410, 284, 1309, 262, 895, 342, 35202, 423, 262, 3869, 764, 320, 3734, 1804, 340, 329, 1479, 837, 475, 1312, 1833, 611, 356, 3677, 340, 284, 606, 2592, 351, 281, 2897, 1541, 319, 262, 3084, 764, 270, 1838, 2565, 764, 9541, 837, 356, 991, 423, 1248, 517, 9210, 379, 674, 18264, 764, 72, 1807, 345, 67, 588, 326, 837, 11223, 487, 531, 764, 368, 38001, 3947, 922, 351, 340, 837, 1165, 764, 359, 1057, 340, 416, 450, 1525, 284, 766, 810, 673, 318, 837, 475, 1312, 17666, 892, 340, 297, 307, 257, 1917, 764, 361, 1997, 837, 1312, 892, 340, 297, 24237, 597, 4633, 3241, 326, 356, 17666, 765, 764, 34952, 1118, 3382, 284, 13913, 10281, 837, 826, 5633, 67, 1069, 353, 373, 47583, 764, 2197, 262, 1218, 3704, 2644, 5661, 561, 307, 262, 13527, 3950, 636, 326, 345, 531, 29445, 651, 284, 287, 257, 2589, 2644, 8505, 837, 326, 837, 339, 531, 837, 1972, 510, 422, 465, 5118, 764, 1219, 837, 428, 468, 1392, 284, 307, 922, 837, 44405, 531, 764, 73, 14822, 6810, 326, 339, 531, 340, 13678, 306, 837, 2158, 837, 290, 340, 6451, 5091, 284, 683, 326, 3805, 465, 898, 14067, 837, 465, 1545, 1244, 407 ]

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

[ 351, 262, 1263, 2456, 837, 32622, 5633, 10148, 19524, 1214, 278, 465, 5101, 837, 33826, 666, 23831, 736, 290, 4838, 262, 3420, 2157, 683, 764, 15506, 355, 881, 355, 345, 705, 260, 588, 257, 3956, 284, 502, 837, 1312, 1275, 299, 470, 423, 345, 287, 616, 1204, 7471, 764, 5832, 466, 299, 470, 670, 329, 502, 764, 12758, 837, 1312, 466, 299, 470, 761, 257, 2614, 8796, 7471, 780, 286, 477, 262, 1243, 345, 750, 329, 502, 764, 10148, 15506, 345, 705, 260, 7062, 764, 10148, 15506, 329, 644, 5633, 10148, 15506, 8914, 534, 840, 764, 10148, 8117, 550, 587, 257, 640, 287, 33826, 666, 705, 82, 1204, 618, 339, 705, 67, 407, 925, 262, 1266, 286, 7747, 764, 82, 14715, 550, 587, 379, 262, 826, 1295, 379, 262, 826, 640, 290, 550, 7891, 465, 16933, 503, 286, 257, 845, 2089, 3074, 764, 4360, 812, 1568, 837, 5176, 284, 262, 5230, 705, 82, 1842, 286, 477, 1243, 14416, 837, 340, 550, 1282, 736, 284, 13197, 33826, 666, 837, 25894, 683, 465, 3451, 290, 3016, 1642, 683, 1577, 510, 262, 530, 1517, 339, 6151, 262, 749, 764, 43533, 666, 40360, 290, 31862, 465, 19218, 764, 15506, 326, 345, 750, 837, 475, 1312, 705, 297, 407, 423, 345, 23649, 329, 410, 9435, 13057, 764, 258, 460, 26256, 319, 616, 2614, 1204, 588, 2506, 2073, 12, 1525, 467, 519, 1359, 502, 764, 10148, 15506, 1312, 705, 76, 407, 994, 284, 13997, 319, 345, 764, 10148, 4360, 339, 373, 290, 262, 804, 319, 33826, 666, 705, 82, 1986, 28911, 683, 329, 257, 31866, 764, 15506, 788, 644, 389, 345, 994, 329, 12, 28582, 1082, 837, 43744, 393, 257, 2276, 277, 1174, 74, 477, 2130, 705, 82, 1204, 329, 262, 3744, 6181, 5633, 10148, 15506, 481, 612, 307, 257, 38964, 319, 428, 1568, 5633, 10148, 82, 14715, 3197, 992, 764, 258, 550, 299, 470, 5364, 5123, 837, 475, 262, 584, 734, 339, 705, 67, 587, 36620, 351, 329, 812, 764, 2016, 644, 339, 705, 67, 1760, 284, 8278, 815, 423, 683, 11897, 284, 1204, 16510, 764, 43533, 666, 374, 4335, 257, 1021, 832, 465, 4190, 764, 15506, 329, 1752, 287, 534, 1204, 837, 257, 2588, 4066, 837, 307, 2726, 764, 10148, 15506, 466, 345, 892, 1312, 588, 428, 7926, 12226, 286, 6224, 1312, 869, 616, 1204, 5633, 72, 423, 284, 307, 644, 1312, 716, 764, 403, 2339, 345, 837, 1312, 423, 645, 3572, 764, 8117, 705, 82, 645, 5149, 410, 9435, 13057, 284, 38332, 572, 981, 1312, 6594, 656, 262, 26428, 351, 262, 2415, 1312, 1842, 764, 72, 705, 76, 407, 277, 1174, 3364, 3142, 764, 568, 1011, 534, 2726, 2912, 290, 809, 26679, 340, 764, 10148, 82, 14715, 47344, 465, 33053, 837, 10291, 284, 10862, 1223, 393, 2130, 764, 38400, 944, 837, 4632, 764, 15506, 508, 318, 673, 5633, 10148, 43533, 666, 1965, 837, 465, 1657, 2951, 41034, 764, 64, 2415, 351, 4950, 4171, 2951, 290, 257, 18088, 5848, 764, 64, 2415, 3025, 4071, 21845, 925, 683, 1254, 31956, 618, 673, 22527, 683, 351, 530, 764, 64, 2415, 508, 925, 465, 2612, 18553, 416, 691, 3612, 286, 607, 764, 64, 2415, 339, 4193, 4117, 764, 14363, 12450, 8556, 284, 45229, 764, 15506, 612, 318, 645, 673, 764, 10148, 15506, 31866, 764, 10148, 64, 3731, 8212, 2826, 319, 465, 16933, 705, 82, 1986, 764, 15506, 2406, 284, 616, 2151, 5633, 10148, 82, 14715, 1965, 837, 19702, 262, 5273, 736, 656, 262, 3338, 6516, 764, 15506, 561, 299, 470, 2051, 340, 764, 10148, 5661, 640, 33826, 666, 705, 82, 11914, 6265, 503, 287, 257, 1336, 8212, 764, 15506, 991, 2111, 284, 3785, 503, 262, 9848, 345, 705, 260, 1762, 764, 10148, 15506, 645, 18572, 837, 16133, 764, 1820, 9848, 705, 82, 477, 3111, 503, 764, 1169, 4414, 318, 3446, 644, 340, 2331, 284, 307, 290, 1312, 705, 297, 307, 4305, 1306, 29445, 3462, 764, 10148, 4360, 407, 878, 339, 1043, 257, 835, 284, 1037, 8278, 837, 1771, 673, 2227, 340, 393, 407, 764, 8162, 8278, 49975, 262, 938, 6565, 3091, 422, 262, 736, 286, 607, 11223, 538, 290, 1718, 340, 287, 262, 2156, 764, 1169, 4876, 286, 29407, 644, 373, 14186, 284, 607, 373, 9721, 764, 4919, 373, 673, 4385, 284, 5409, 644, 815, 467, 290, 644, 815, 2652, 5633, 7091, 550, 1115, 1528, 284, 2353, 290, 691, 1341, 5948, 284, 1037, 764, 15506, 379, 1551, 356, 423, 262, 7962, 625, 262, 3650, 837, 10148, 1341, 5948, 1718, 262, 3091, 422, 8278, 764, 15506, 345, 460, 2652, 612, 1566, 2279, 3011, 23243, 503, 764, 10148, 15506, 645, 837, 340, 705, 82, 587, 26399, 503, 764, 5171, 21628, 88, 290, 1312, 1282, 2652, 351, 345, 5633, 72, 10667, 319, 262, 36856, 837, 475, 340, 705, 82, 287, 2089, 5485, 290, 1312, 24486, 299, 470, 651, 597, 1637, 422, 2318, 39389, 705, 82, 11316, 1566, 484, 3328, 511, 717, 28652, 764, 72, 37789, 340, 503, 618, 1312, 1816, 284, 3240, 284, 651, 777, 10559, 422, 6143, 764, 10148, 13698, 27846, 379, 21628, 88, 764, 1169, 5156, 2826, 319, 257, 1588, 627, 2326, 287, 262, 3504, 286, 262, 277, 35301, 837, 262, 22259, 22746, 32170, 1740, 287, 607, 1021, 351, 2042, 39433, 1969, 416, 764, 15688, 68, 705, 82, 1986, 3214, 764, 15506, 5770, 837, 1312, 4601, 331, 6, 439, 714, 837, 475, 1312, 423, 1440, 26255, 689, 290, 1312, 1275, 299, 470, 4829, 606, 503, 764, 1169, 15278, 318, 287, 26605, 9618, 705, 82, 1438, 764, 10148, 15506, 1440, 5633, 4360, 340, 705, 82, 691, 257, 734, 14043, 764, 10148, 15506, 26605, 9618, 705, 82, 13850, 290, 465, 33305, 3888, 287, 734, 1528, 2084, 764, 10148, 15688, 68, 629, 5143, 1740, 607, 9686, 287, 47313, 764, 15506, 484, 705, 260, 884, 583, 14259, 764, 72, 7558, 1254, 262, 761, 284, 5806, 379, 1551, 1440, 11685, 286, 8242, 618, 484, 705, 260, 1088, 764, 10148, 4053, 837, 11029, 379, 1341, 5948, 705, 82, 1295, 373, 503, 764, 25991, 673, 561, 1011, 510, 21970, 290, 2051, 88, 705, 82, 2897, 706, 477, 764, 15506, 1239, 2000, 764, 72, 460, 651, 257, 7541, 2119, 764, 10148, 15688, 68, 900, 262, 3091, 866, 319, 262, 1218, 2239, 290, 1718, 8278, 705, 82, 1021, 837, 40237, 340 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 262, 4009, 290, 340, 31806, 477, 4991, 13, 1629, 262, 15818, 1241, 3517, 9309, 11, 15555, 11, 31346, 11, 28293, 11, 10553, 11, 14778, 11, 290, 17711, 32586, 423, 11756, 46719, 49505, 543, 906, 485, 625, 262, 15818, 4568, 286, 511, 4991, 13, 4418, 319, 262, 4326, 1241, 11, 1123, 4326, 318, 1057, 416, 281, 7018, 10390, 4281, 13, 198, 198, 6214, 635, 198, 7343, 286, 5398, 5745, 351, 15100, 49753, 198, 18950, 286, 8708, 6176, 198, 8229, 276, 1222, 6168, 4041, 286, 4505, 198, 8111, 968, 8936, 8229, 276, 290, 6168, 6, 5396, 198, 42898, 28031, 3596, 198, 3537, 10116, 2767, 5454, 198, 198, 41506, 6117, 198, 13248, 1351, 286, 4991, 198, 3537, 10116, 32716, 287, 3340, 198, 8229, 276, 1222, 6168, 4041, 286, 4505, 198, 198, 19927, 198, 198, 9069, 9282, 287, 3340, 198, 26121, 4582, 1912, 287, 3340, 351, 15100, 49753, 198, 37837, 286, 3340, 198, 28203, 11255, 6, 5745, 32476, 4333, 376, 6998, 357, 1433, 1954, 1906, 1433, 3104, 8, 373, 281, 3594, 14325, 290, 6306, 263, 11, 530, 286, 262, 717, 7018, 21710, 1666, 286, 262, 8111, 7023, 13, 198, 198, 14662, 198, 13434, 2603, 1173, 4817, 355, 257, 13553, 263, 286, 1951, 338, 5535, 11, 14457, 287, 1467, 3901, 290, 18303, 347, 13, 32, 13, 287, 1467, 2598, 13, 679, 2627, 257, 3218, 21076, 286, 7361, 5658, 46760, 11, 508, 550, 5615, 287, 34438, 1467, 2091, 12, 1433, 2327, 220, 319, 5654, 7481, 13, 679, 18303, 337, 13, 32, 13, 287, 1467, 2780, 11, 290, 337, 13, 35, 13, 287, 1467, 2816, 357, 1433, 4051, 29865, 632, 3568, 326, 339, 19893, 465, 7573, 379, 34438, 329, 617, 640, 11, 475, 339, 4191, 4615, 284, 968, 4789, 11, 1474, 7122, 392, 13, 4333, 373, 7018, 290, 6848, 257, 5891, 286, 262, 8111, 7023, 352, 2901, 1467, 5066, 11, 339, 290, 7361, 10799, 666, 1148, 2763, 852, 262, 717, 7018, 1866, 13, 198, 198, 1544, 3724, 379, 968, 4789, 319, 2242, 3426, 1467, 3104, 11, 290, 373, 11694, 287, 262, 4928, 286, 1439, 13048, 11, 20441, 3245, 11, 351, 257, 20422, 7480, 284, 465, 4088, 11, 351, 257, 9133, 40189, 11, 319, 262, 4314, 287, 262, 3504, 2863, 75, 13, 198, 198, 23044, 220, 198, 6653, 691, 3199, 670, 318, 705, 20468, 9134, 26099, 4458, 6363, 1115, 3835, 1730, 8148, 351, 21145, 11081, 290, 35789, 10440, 666, 4583, 26, 262, 10256, 286, 4022, 20970, 15516, 26, 290, 262, 17076, 11, 290, 1006, 32855, 5150, 329, 262, 2499, 286, 262, 50190, 12806, 385, 5675, 18127, 385, 357, 28821, 13281, 5675, 6277, 11, 1315, 3459, 1906, 1433, 4761, 737, 198, 198, 33, 19802, 338, 1099, 220, 198, 818, 257, 2168, 286, 10256, 351, 465, 1641, 1545, 11, 6219, 8329, 68, 1636, 11, 8616, 4333, 5071, 262, 2776, 1022, 262, 3833, 290, 6115, 286, 257, 3623, 326, 1568, 2627, 1900, 355, 37619, 338, 1099, 13, 770, 2776, 373, 16493, 287, 366, 20468, 9134, 26099, 526, 2102, 11, 867, 743, 7267, 19032, 326, 257, 662, 12, 11377, 341, 17116, 286, 366, 20468, 9134, 26099, 1, 9181, 262, 14078, 355, 262, 6195, 670, 286, 6219, 8329, 68, 1636, 13, 37619, 338, 3068, 286, 262, 4583, 27165, 262, 9207, 286, 366, 20468, 9134, 26099, 1, 416, 530, 614, 11, 543, 11, 5929, 351, 37619, 338, 12148, 286, 262, 2126, 290, 465, 2383, 3722, 355, 281, 28631, 15405, 11444, 11, 30169, 262, 4583, 561, 307, 1900, 355, 366, 33, 19802, 338, 3854, 526, 37619, 14183, 8329, 68, 1636, 355, 262, 6195, 13453, 11, 13359, 326, 4333, 338, 9284, 547, 477, 475, 2626, 284, 2106, 13, 198, 198, 16130, 198, 198, 8086, 3890, 198, 198, 1433, 1954, 27244, 198, 1433, 3104, 7040, 198, 1558, 400, 12, 14792, 3594, 3315, 7519, 198, 37, 695, 1666, 286, 262, 8111, 7023, 7407, 20125, 22044, 19113, 9860, 357, 4002, 355, 609, 1324, 494, 19113, 9860, 11, 678, 3267, 1248, 5824, 784, 838, 2693, 15231, 8, 373, 281, 6638, 1067, 624, 2357, 290, 2260, 31870, 13, 19113, 9860, 373, 4642, 287, 5826, 805, 11, 11852, 290, 2826, 329, 262, 968, 2520, 11769, 18836, 1074, 329, 1115, 717, 12, 4871, 18836, 7466, 355, 257, 826, 12, 13638, 19553, 3653, 13, 198, 198, 17784, 263, 198, 198, 35, 86, 9860, 2826, 465, 1115, 7466, 329, 23438, 35810, 324, 1146, 1022, 262, 886, 286, 262, 3274, 2159, 1810, 290, 262, 614, 286, 262, 5007, 3530, 23653, 13, 2399, 717, 2872, 1718, 1295, 286, 2608, 3426, 25859, 1028, 12313, 379, 262, 14819, 34761, 13706, 13, 40983, 262, 12153, 11, 23438, 18846, 12313, 287, 284, 7365, 11, 290, 11126, 606, 329, 37737, 11, 5688, 13160, 286, 257, 4289, 416, 26113, 347, 1723, 13, 19113, 9860, 11, 379, 1271, 734, 11, 7042, 281, 4756, 10413, 286, 2608, 351, 6638, 3230, 11328, 347, 1371, 1636, 878, 262, 6846, 3214, 18360, 86, 284, 347, 1723, 329, 1248, 290, 19113, 9860, 373, 11126, 416, 3230, 29166, 14115, 13, 23438, 3214, 284, 17031, 477, 503, 11, 290, 547, 5906, 284, 2245, 12313, 422, 8978, 31011, 477, 503, 287, 511, 1218, 16267, 11, 5176, 284, 257, 4289, 416, 29166, 1737, 710, 13, 23438, 407, 1740, 510, 31510, 287, 10971, 11, 19113, 9860, 7463, 757, 284, 14115, 329, 5193, 13, 198, 198, 35, 86, 9860, 750, 407, 711, 757, 1566, 2579, 3389, 36864, 11, 1028, 21105, 287, 26914, 13, 19113, 9860, 11, 783, 23761, 379, 1271, 2237, 11, 7781, 1160, 4539, 878, 339, 373, 11126, 416, 6638, 3230, 6575, 10736, 268, 2763, 11, 508, 1816, 319, 284, 651, 257, 1936, 12, 86, 9715, 12, 15194, 355, 23438, 4251, 38721, 477, 503, 13, 10736, 268, 2763, 788, 1816, 319, 284, 4776, 9907, 355, 281, 21996, 287, 21105, 338, 10971, 2472, 286, 2026, 21, 11, 543, 635, 7763, 257, 4289, 286, 21761, 329, 12155, 11654, 13, 19113, 9860, 2277, 2242, 407, 503, 355, 21105, 4251, 8541, 14, 19, 878, 262, 1115, 12, 820, 2872, 4444, 355, 257, 3197, 13, 198, 198, 35, 86, 9860, 338, 938, 5585, 287, 717, 12, 4871, 18836, 1625, 319, 807, 3945, 31883, 11, 1028, 46896, 287, 17073, 433, 13, 40983, 262, 12153, 290, 351, 10654, 7516, 509, 13485, 1014, 14615, 284, 7365, 717, 11, 23438, 4251, 40384, 477, 503, 351, 19113 ]

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

[ 4452, 286, 16463, 12, 3106, 290, 8108, 26179, 355, 257, 1724, 284, 1064, 1957, 11, 2055, 290, 2839, 12, 34914, 8136, 284, 1826, 262, 2476, 286, 968, 13910, 338, 749, 8826, 4290, 618, 1181, 4133, 547, 407, 1695, 13, 198, 198, 10606, 1008, 6440, 198, 198, 818, 3717, 11, 4176, 2627, 10390, 5890, 286, 26212, 6440, 7561, 11, 257, 1729, 12, 28226, 11, 5940, 15364, 4009, 7256, 284, 262, 27647, 286, 1479, 12, 9255, 7919, 11, 3614, 1230, 11, 290, 2614, 5798, 4788, 287, 262, 1181, 15928, 13, 198, 198, 7191, 262, 1115, 812, 286, 465, 4640, 1277, 11094, 262, 4009, 338, 9931, 3220, 422, 362, 11, 830, 284, 807, 11, 830, 13, 220, 4176, 468, 5081, 326, 6426, 3220, 3478, 12, 11379, 284, 257, 1029, 286, 720, 16, 13, 17, 1510, 287, 3050, 1141, 465, 17081, 2158, 262, 4009, 338, 3050, 2717, 1687, 28058, 11, 407, 8948, 1566, 257, 1227, 706, 465, 18525, 287, 2813, 11, 905, 10319, 6426, 286, 691, 720, 4349, 11, 27790, 329, 326, 614, 286, 543, 720, 1821, 11, 49542, 1816, 284, 465, 9588, 13, 220, 17159, 351, 584, 9307, 428, 7997, 257, 24169, 2994, 286, 720, 2481, 11, 31654, 3805, 257, 8904, 7741, 287, 465, 9588, 422, 720, 2996, 11, 22, 3388, 287, 3717, 13, 198, 198, 1890, 465, 4040, 11, 4176, 468, 587, 8018, 416, 2260, 290, 1957, 2056, 355, 852, 530, 464, 4913, 286, 14665, 7443, 357, 397, 4679, 8903, 515, 449, 52, 39, 8, 318, 257, 275, 20473, 400, 306, 12720, 12, 32974, 8233, 3989, 9505, 262, 2214, 286, 7876, 3640, 13, 383, 1459, 5464, 12, 259, 12, 17351, 318, 3271, 3561, 3245, 11, 508, 318, 5199, 5741, 20330, 8129, 286, 7443, 379, 262, 2059, 286, 2258, 5913, 379, 14685, 13, 383, 3989, 373, 4920, 287, 16489, 290, 318, 3199, 416, 311, 11879, 40865, 287, 8112, 351, 262, 14665, 7443, 5396, 13, 198, 198, 18122, 198, 464, 3989, 3199, 663, 717, 2071, 287, 3389, 16489, 13, 24238, 317, 13, 9719, 75, 4983, 355, 5464, 12, 259, 12, 17351, 422, 262, 26851, 2071, 1566, 15589, 13, 1629, 326, 966, 11, 1086, 5718, 317, 13, 4373, 695, 373, 9899, 355, 5464, 11, 290, 339, 373, 14131, 416, 3271, 3561, 3245, 287, 6303, 13, 9719, 75, 338, 717, 13684, 4367, 326, 262, 3989, 561, 44006, 257, 4996, 286, 7481, 11, 2446, 5823, 11, 290, 26146, 286, 7876, 414, 287, 262, 788, 12, 24677, 2667, 2214, 286, 7876, 2106, 13, 198, 198, 23839, 278, 290, 6376, 278, 198, 464, 3989, 318, 12531, 276, 290, 41497, 287, 1446, 25790, 290, 262, 5483, 13473, 42317, 12901, 13, 4784, 284, 4913, 42317, 17905, 11, 663, 2177, 2928, 5766, 373, 657, 13, 30057, 13, 198, 198, 6214, 635, 198, 7343, 286, 5410, 22790, 198, 7343, 286, 2106, 22790, 198, 198, 19927, 198, 198, 41506, 6117, 198, 4913, 286, 14665, 7443, 1743, 3052, 198, 14665, 7443, 5396, 1743, 3052, 198, 198, 15202, 602, 4920, 287, 16489, 198, 15823, 12, 16129, 22790, 198, 33, 20473, 400, 306, 22790, 198, 46667, 3640, 290, 5410, 22790, 198, 4090, 8264, 23499, 8233, 22790, 464, 2097, 286, 17746, 15214, 318, 257, 1751, 338, 10848, 11016, 1912, 287, 3576, 11, 4492, 13, 220, 198, 464, 2097, 286, 17746, 15214, 6774, 1978, 7912, 11, 23827, 11, 10544, 11, 8786, 290, 24858, 284, 5203, 32010, 2995, 11, 17555, 290, 48130, 13, 383, 2097, 286, 17746, 15214, 318, 257, 6823, 11016, 290, 6622, 262, 9352, 1271, 1367, 1821, 31380, 287, 4492, 290, 11769, 13, 198, 198, 18122, 198, 198, 464, 11016, 373, 4920, 416, 575, 4339, 30857, 8484, 290, 5212, 36976, 25157, 287, 3648, 13, 198, 198, 16516, 198, 198, 464, 2097, 286, 17746, 15214, 4568, 290, 2995, 2291, 25, 628, 564, 250, 83, 5758, 2680, 1242, 33125, 447, 251, 2107, 2995, 287, 10413, 351, 25575, 290, 1957, 4773, 198, 9856, 1641, 17555, 284, 7064, 286, 1393, 287, 10413, 351, 38462, 290, 6712, 198, 7325, 4673, 25982, 290, 3707, 15186, 287, 10413, 351, 4266, 290, 6712, 198, 14333, 48130, 13, 198, 198, 464, 2097, 286, 17746, 15214, 4568, 290, 2995, 4729, 7912, 290, 2056, 20929, 884, 355, 7361, 5613, 13307, 11, 15406, 15895, 8464, 15984, 13183, 567, 324, 11, 11424, 25418, 13612, 11, 25313, 37938, 2688, 3822, 11, 220, 46595, 327, 12721, 290, 4422, 3700, 286, 1086, 333, 11, 508, 719, 355, 41702, 329, 262, 11016, 447, 247, 82, 670, 13, 198, 198, 34533, 2995, 198, 464, 2097, 286, 17746, 15214, 468, 6793, 2995, 11, 4568, 11, 48130, 290, 1641, 17555, 329, 25, 198, 21111, 6705, 2473, 11, 4347, 30451, 38412, 11117, 11, 2671, 45966, 10711, 11117, 11, 34057, 379, 4599, 3822, 11, 4196, 13690, 11117, 11, 5476, 3984, 11117, 11, 220, 10593, 7490, 9072, 11, 10106, 338, 42521, 11117, 11, 31376, 12495, 11, 2635, 354, 499, 417, 12917, 11, 2351, 9870, 11, 12189, 32124, 11, 383, 968, 3683, 12917, 370, 874, 439, 11, 383, 26139, 12917, 357, 1273, 13, 314, 1158, 828, 968, 6213, 3683, 12917, 11, 4849, 47967, 11536, 9072, 11, 10318, 963, 72, 12917, 11, 8111, 31693, 26823, 7023, 11, 31096, 12958, 358, 17867, 3683, 3457, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 30857, 8484, 338, 3148, 20760, 1000, 1628, 198, 198, 26829, 338, 23980, 1912, 287, 4492, 198, 3163, 912, 16435, 1912, 287, 262, 1578, 7526, 198, 12441, 871, 1912, 287, 3576, 198, 11528, 287, 3576, 198, 26121, 4582, 4920, 287, 3648, 198, 11528, 33228, 287, 4492, 15309, 20295, 575, 1533, 273, 18198, 575, 1533, 273, 709, 357, 16220, 25, 12466, 238, 30143, 16843, 31583, 21727, 16843, 140, 117, 12466, 243, 140, 111, 15166, 21169, 25443, 110, 18849, 141, 229, 12466, 243, 140, 111, 15166, 21169, 25443, 110, 26, 269, 13, 1558, 4304, 532, 2534, 2693, 1248, 4349, 11, 9281, 27051, 8, 373, 257, 3394, 34537, 11, 30247, 805, 290, 6240, 286, 2106, 12036, 13, 198, 198, 23286, 4867, 220, 198, 1544, 373, 2077, 25798, 416, 327, 793, 4595, 355, 257, 1862, 1200, 290, 1568, 4624, 287, 262, 9070, 1471, 19080, 496, 13, 7703, 373, 1683, 4499, 286, 465, 15587, 3584, 11, 1912, 319, 617, 286, 465, 1903, 9846, 11, 339, 373, 4762, 284, 307, 286, 12612, 1820, 74, 18598, 13, 198, 198, 818, 1596 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40167, 13, 383, 16222, 48819, 389, 2266, 1082, 379, 262, 2779, 11, 517, 42255, 693, 694, 992, 351, 7586, 351, 257, 2042, 680, 3027, 4241, 1474, 8434, 262, 10330, 290, 262, 12445, 385, 13, 383, 4048, 318, 881, 2266, 1082, 351, 6340, 263, 1221, 282, 30390, 13, 198, 198, 19927, 198, 198, 50, 647, 9304, 5362, 198, 44, 27118, 286, 5478, 198, 818, 8831, 82, 286, 48968, 198, 818, 8831, 82, 286, 37270, 198, 818, 8831, 82, 286, 44418, 544, 198, 9069, 17183, 291, 44400, 1152, 64, 198, 27017, 64, 3706, 416, 5199, 28648, 1879, 66, 562, 261, 46063, 7385, 354, 732, 88, 357, 6286, 3945, 1679, 11, 25190, 8, 318, 281, 1605, 21810, 508, 468, 5615, 287, 1111, 2031, 290, 262, 1578, 1829, 290, 3025, 670, 318, 7634, 12824, 416, 262, 8312, 290, 7993, 1613, 13, 679, 1690, 3073, 284, 262, 15993, 995, 329, 12141, 11, 351, 13460, 543, 423, 3017, 2994, 11, 37378, 11, 30889, 11, 290, 3660, 27817, 11, 290, 703, 262, 1613, 18436, 284, 262, 1944, 13, 2893, 339, 318, 1266, 1900, 329, 465, 31888, 11, 339, 635, 318, 257, 1492, 37823, 11, 5764, 12, 14463, 4701, 286, 7325, 3597, 11, 33417, 11, 10848, 18382, 11, 16716, 46132, 11, 290, 12811, 329, 8786, 290, 3597, 13, 679, 373, 3437, 286, 262, 791, 353, 3900, 7695, 11973, 3337, 286, 262, 10190, 358, 3530, 575, 329, 1511, 812, 11, 7924, 290, 7817, 287, 262, 17404, 22183, 6118, 379, 9092, 77, 46598, 81, 5535, 422, 4751, 284, 3050, 11, 4983, 355, 6858, 679, 271, 17164, 11536, 5890, 379, 262, 1605, 8581, 287, 10598, 422, 3050, 284, 2211, 11, 290, 318, 3058, 6240, 290, 3437, 286, 262, 337, 7708, 6118, 287, 7325, 3597, 379, 6182, 2059, 13, 198, 198, 17784, 263, 198, 198, 38951, 812, 198, 198, 42, 343, 354, 732, 88, 373, 4642, 287, 25190, 290, 18303, 422, 17630, 8581, 287, 843, 2502, 287, 16489, 287, 262, 25523, 1524, 338, 717, 763, 12, 18123, 864, 1398, 11, 543, 3017, 21274, 21623, 3941, 327, 403, 75, 22391, 11, 3788, 4640, 5613, 4424, 5034, 11, 8674, 22937, 4216, 1092, 11, 34537, 18322, 367, 38680, 11, 6260, 23486, 5741, 11, 1964, 28823, 24253, 4100, 3759, 11, 5190, 15093, 1736, 2304, 5049, 3981, 417, 11, 3195, 9920, 11232, 2185, 776, 11, 5464, 24799, 12996, 11, 290, 14747, 273, 7164, 5638, 805, 13, 679, 9141, 19681, 11, 810, 339, 373, 257, 45222, 286, 14377, 4689, 49, 30848, 11, 475, 3417, 465, 717, 734, 22952, 812, 355, 366, 403, 18143, 290, 555, 27781, 526, 679, 1718, 257, 1398, 319, 1646, 2649, 7817, 416, 7507, 47329, 13240, 504, 11, 543, 2921, 683, 262, 2565, 326, 339, 550, 281, 366, 451, 329, 18527, 1600, 475, 465, 670, 373, 366, 1203, 621, 47334, 1, 287, 465, 898, 31850, 13, 679, 1718, 257, 614, 572, 290, 3111, 379, 37194, 338, 13266, 13705, 287, 968, 21425, 13, 2293, 465, 614, 572, 11, 339, 9713, 351, 21810, 1757, 11806, 4066, 290, 5071, 326, 2615, 257, 1204, 1088, 262, 4876, 286, 3597, 19518, 373, 1744, 13, 7385, 354, 732, 88, 3417, 11806, 4066, 355, 257, 4958, 286, 1111, 3594, 290, 1605, 19518, 290, 531, 25, 198, 198, 39, 692, 4066, 7817, 683, 326, 31888, 547, 517, 621, 5019, 28443, 11, 475, 423, 281, 40840, 2700, 11, 290, 2921, 7385, 354, 732, 88, 3744, 2461, 329, 9028, 290, 17290, 45968, 11, 355, 880, 355, 329, 19681, 13, 198, 198, 42, 343, 354, 732, 88, 18303, 351, 257, 33399, 286, 11536, 4922, 287, 3594, 9285, 422, 19681, 290, 351, 257, 5599, 286, 11536, 287, 3594, 9285, 422, 9309, 13, 198, 198, 6767, 8103, 198, 25262, 13521, 290, 12844, 11, 7385, 354, 732, 88, 7817, 3594, 9285, 290, 11742, 379, 262, 843, 2502, 10216, 23575, 13, 679, 635, 7817, 379, 262, 1605, 3961, 287, 14679, 287, 31541, 5733, 11, 290, 379, 2574, 271, 9407, 48470, 3334, 3961, 287, 968, 1971, 2254, 13, 198, 198, 4863, 8735, 284, 8309, 11, 7385, 354, 732, 88, 10357, 10273, 1022, 968, 1971, 2254, 290, 8830, 10140, 11, 810, 339, 7817, 3597, 379, 4176, 5535, 13, 5856, 777, 10182, 11, 339, 561, 6004, 284, 23695, 286, 12191, 19518, 11, 1390, 257, 11059, 286, 4643, 37718, 416, 5199, 28397, 13, 5856, 530, 3708, 11, 7385, 354, 732, 88, 2936, 2626, 287, 262, 47446, 42097, 286, 644, 465, 18410, 550, 1752, 28569, 262, 366, 44719, 3841, 48241, 1, 7539, 286, 30739, 10495, 26, 339, 3417, 340, 355, 366, 65, 413, 688, 1586, 11, 7619, 5623, 11, 290, 37748, 389, 262, 348, 273, 7278, 286, 663, 10384, 290, 8420, 42097, 1911, 7385, 354, 732, 88, 2630, 1568, 703, 326, 5059, 1998, 550, 14516, 683, 286, 4643, 37718, 338, 4293, 317, 1734, 292, 11, 508, 706, 1719, 11468, 21439, 1141, 663, 45324, 8166, 416, 262, 8312, 5428, 11, 4504, 284, 262, 9482, 1748, 284, 2989, 329, 465, 4814, 3656, 5844, 22064, 11, 475, 508, 2627, 2626, 13413, 13, 5844, 22064, 338, 10905, 3568, 284, 317, 1734, 292, 284, 1560, 683, 326, 607, 1918, 550, 587, 277, 515, 290, 326, 339, 460, 466, 2147, 546, 340, 290, 326, 339, 1276, 2555, 351, 465, 1204, 13, 7385, 354, 732, 88, 2630, 703, 465, 1998, 287, 37118, 373, 2092, 284, 326, 286, 317, 1734, 292, 287, 21439, 25, 198, 198, 42, 343, 354, 732, 88, 7817, 379, 4176, 5535, 11, 19681, 11, 28634, 272, 11, 290, 287, 262, 4958, 286, 3734, 10848, 1430, 379, 9309, 13, 679, 7817, 379, 9092, 77, 46598, 81, 422, 4751, 284, 1946, 11, 810, 339, 373, 6240, 286, 262, 10848, 290, 3437, 286, 7325, 3597, 13, 3574, 3050, 284, 2211, 11, 339, 1718, 2666, 422, 9092, 77, 46598, 81, 284, 4691, 355, 6858, 679, 271, 17164, 11536, 5890, 379, 262, 1605, 8581, 287, 10598, 13, 1629, 9092, 77, 46598, 81, 339, 7817, 7325, 3597, 10902, 287, 19518, 290, 24649, 290, 9285, 10902, 287, 43680, 18900, 290, 663, 11811, 5992, 11, 3660, 396, 19518, 11, 290, 11811, 1605, 19518, 13, 679, 2722, 9092, 77, 46598, 81, 338, 10018, 282, 2047, 371, 13, 28672, 38094, 11289, 287, 5816, 13, 198, 198, 4821, 284, 530, 1848, 11, 9092, 77, 46598, 81, 287, 262, 6303, 82, 2540, 257, 1628 ]

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

[ 4917, 326, 477, 286, 37, 2228, 7527, 50031, 38919, 21667, 357, 26, 604, 3035, 32471, 8, 373, 257, 32882, 2679, 47898, 290, 23723, 13, 220, 38919, 21667, 318, 18141, 351, 852, 530, 286, 262, 22202, 286, 262, 2214, 286, 3518, 16585, 11, 351, 12806, 385, 6752, 1173, 385, 5719, 705, 83, 21890, 11, 6445, 490, 399, 1142, 301, 11, 290, 311, 4520, 68, 943, 81, 831, 3754, 13, 198, 1544, 2722, 262, 20715, 15895, 287, 27867, 287, 41507, 329, 465, 5654, 9284, 284, 262, 7032, 286, 3797, 8767, 11, 5931, 1602, 22282, 7496, 290, 6317, 11555, 420, 871, 13, 198, 198, 14291, 465, 40538, 10737, 422, 8233, 1204, 11, 38919, 21667, 2627, 881, 2950, 287, 8876, 11, 1242, 11, 290, 4819, 13, 679, 925, 2383, 9284, 284, 1123, 286, 777, 7032, 13, 38919, 21667, 468, 587, 3417, 355, 257, 7514, 11018, 13, 198, 198, 20457, 1204, 290, 3707, 198, 46, 301, 21667, 373, 4642, 33961, 1146, 32882, 2679, 287, 371, 13827, 11, 3394, 8065, 284, 4958, 12, 1073, 3575, 39451, 25520, 50031, 38919, 21667, 357, 1507, 1731, 1906, 1129, 3070, 8, 290, 2574, 271, 9407, 1004, 1229, 7750, 357, 1507, 1731, 1906, 1129, 3070, 737, 679, 373, 262, 3504, 1200, 286, 1115, 11, 4642, 706, 20665, 268, 357, 1507, 4349, 1906, 1129, 2624, 8, 290, 878, 39451, 25520, 357, 1507, 2816, 1906, 1129, 1507, 737, 38919, 21667, 4166, 281, 1393, 287, 3783, 355, 257, 1200, 290, 5952, 10256, 379, 465, 1363, 11, 3573, 3519, 284, 26056, 290, 16223, 13, 198, 198, 46, 301, 21667, 5982, 262, 2059, 286, 12528, 8071, 357, 2197, 262, 2059, 286, 37109, 84, 8, 287, 1248, 4761, 13, 679, 5668, 465, 50224, 312, 265, 641, 354, 35357, 37305, 612, 287, 1248, 2425, 13, 5856, 465, 640, 379, 12528, 8071, 11, 38919, 21667, 550, 2383, 7111, 284, 262, 47824, 11, 262, 10848, 11, 290, 8876, 11, 543, 2627, 257, 2962, 286, 465, 40273, 706, 465, 40538, 10737, 422, 34326, 13, 198, 198, 12832, 49113, 3451, 220, 198, 46, 301, 21667, 2540, 465, 3451, 355, 281, 4795, 24268, 20725, 379, 262, 2059, 286, 12528, 8071, 287, 1248, 2425, 13, 679, 3111, 287, 262, 14010, 286, 8124, 24740, 11, 1863, 351, 465, 11811, 28056, 406, 1491, 70, 13, 220, 406, 1491, 70, 7817, 38919, 21667, 867, 286, 262, 19165, 286, 262, 3781, 286, 287, 36617, 16439, 290, 13871, 286, 1602, 22282, 7496, 290, 5931, 6317, 3965, 13, 406, 1491, 70, 635, 7817, 38919, 21667, 262, 5931, 4308, 286, 867, 4903, 20781, 19428, 13, 2312, 40273, 7042, 636, 286, 262, 7481, 286, 38919, 21667, 338, 1568, 2267, 4040, 13, 220, 554, 3090, 284, 465, 670, 287, 8124, 24740, 338, 14010, 11, 38919, 21667, 635, 9713, 287, 262, 6403, 338, 11887, 24224, 351, 13514, 18042, 440, 35463, 268, 13, 198, 198, 24472, 1248, 3324, 11, 991, 8282, 465, 670, 355, 281, 24268, 20725, 287, 262, 27867, 18643, 379, 262, 2059, 286, 12528, 8071, 11, 38919, 21667, 2627, 257, 3432, 8796, 287, 262, 23123, 5136, 11, 706, 440, 35463, 268, 338, 8796, 3888, 284, 371, 13827, 13, 220, 198, 1544, 635, 4855, 2241, 329, 257, 640, 416, 7743, 19473, 290, 3783, 379, 257, 12528, 8071, 1029, 1524, 13, 198, 198, 46, 301, 21667, 373, 7744, 4609, 287, 2683, 286, 5931, 28430, 290, 262, 12737, 326, 7042, 5931, 16439, 13, 770, 373, 262, 4318, 16200, 1808, 6476, 4607, 1023, 379, 262, 640, 13, 1081, 636, 286, 465, 1903, 670, 11, 38919, 21667, 4166, 257, 1115, 12, 19577, 28430, 3084, 326, 1718, 656, 1848, 262, 3048, 286, 5951, 355, 880, 355, 262, 28430, 38491, 286, 17045, 290, 12536, 13, 38919, 21667, 635, 12565, 2347, 2223, 11, 15206, 15245, 4592, 11, 290, 5931, 17262, 13, 198, 198, 46, 301, 21667, 5668, 465, 2944, 1694, 498, 4922, 379, 262, 2059, 286, 12528, 8071, 287, 1248, 3324, 11, 15882, 683, 284, 1577, 25917, 290, 3877, 329, 7743, 13, 220, 198, 46, 301, 21667, 3199, 465, 40995, 46793, 379, 262, 2059, 286, 12528, 8071, 287, 1248, 3695, 11, 351, 8124, 24740, 355, 465, 21554, 20685, 13, 220, 2399, 40995, 21554, 373, 9080, 4709, 388, 15245, 46097, 3318, 13123, 25308, 12, 41829, 46097, 3604, 2013, 5855, 16598, 388, 19482, 290, 49593, 12, 41829, 605, 10422, 11074, 554, 1248, 3720, 11, 339, 2627, 257, 3432, 8796, 284, 8124, 24740, 13, 198, 198, 818, 1248, 6659, 11, 38919, 21667, 2627, 257, 8129, 286, 27867, 379, 262, 371, 13827, 12280, 23873, 39901, 357, 2197, 371, 13827, 20671, 2059, 737, 554, 1248, 5774, 11, 339, 3888, 284, 1004, 541, 38262, 2059, 810, 339, 2627, 8129, 286, 16331, 27867, 13, 38919, 21667, 6150, 319, 262, 12829, 379, 1004, 541, 38262, 2059, 1566, 465, 10737, 287, 40538, 13, 679, 635, 4983, 355, 262, 717, 366, 1069, 3803, 6240, 1, 379, 11131, 2059, 287, 43785, 290, 37166, 13, 198, 198, 7191, 38919, 21667, 338, 8233, 3451, 11, 339, 550, 867, 2267, 2444, 508, 2627, 13013, 5519, 287, 511, 898, 826, 13, 2312, 3017, 2003, 20715, 13826, 689, 311, 4520, 68, 943, 81, 831, 3754, 11, 12806, 385, 6752, 1173, 385, 5719, 705, 83, 21890, 11, 290, 6445, 490, 399, 1142, 301, 13, 198, 6395, 2444, 3017, 13514, 399, 726, 274, 11, 32748, 34895, 34701, 290, 40571, 403, 3609, 314, 9091, 64, 13, 1439, 286, 777, 2444, 2627, 12411, 329, 511, 9284, 284, 3518, 16585, 13, 198, 198, 818, 39923, 11, 9966, 24572, 5625, 329, 257, 2267, 2292, 287, 38919, 21667, 338, 14010, 13, 770, 373, 1440, 812, 878, 24572, 338, 9207, 319, 2041, 44449, 13, 38919, 21667, 8606, 24572, 338, 3586, 11, 3584, 1568, 262, 734, 4166, 1913, 13584, 2461, 13, 3834, 20415, 11, 38919, 21667, 19332, 24572, 329, 262, 20715, 15895, 287, 31953, 290, 757, 287, 35145, 13, 198, 198, 14291, 465, 40538, 10737, 11, 38919, 21667, 2627, 4075, 287, 8876, 11, 4819, 11, 290, 584, 47824, 13, 198, 198, 7191, 262, 1781, 286, 465, 8233, 3451, 11, 38919, 21667, 3199, 517, 621, 5323, 2656, 2267, 9473, 329, 262, 5654, 9285, 290, 6702, 4153, 3835, 13, 198, 198, 23010, 811, 9284, 198, 198, 33772, 1173, 7408, 1429, 220, 198, 46, 301, 21667, 15646, 257, 1429, 329, 262, 24475, 6161, 286, 13759, 1173, 7408, 416, 37767, 286, 44957, 13, 679 ]

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

[ 2923, 287, 2223, 379, 262, 5838, 286, 7431, 77, 32452, 319, 2534, 3389, 1248, 2780, 13, 383, 9398, 626, 3320, 4504, 284, 4492, 11589, 11, 475, 10282, 287, 440, 313, 330, 321, 917, 287, 35745, 11, 810, 9398, 626, 735, 9141, 1524, 1566, 339, 5668, 465, 3707, 287, 3576, 13, 198, 198, 37837, 3451, 198, 818, 37637, 11, 9398, 626, 735, 5982, 262, 8111, 12842, 5535, 11, 3837, 33500, 11, 290, 319, 1478, 3269, 49658, 373, 308, 1031, 316, 1513, 281, 2039, 12683, 287, 262, 3933, 358, 357, 41389, 11930, 8, 4401, 27749, 13, 679, 373, 13722, 21586, 319, 838, 3035, 1248, 2791, 11, 290, 373, 25967, 379, 47403, 357, 1507, 2791, 1906, 22, 828, 379, 46106, 3754, 357, 1507, 3134, 1906, 23, 828, 788, 379, 262, 15725, 34480, 357, 1507, 3104, 1906, 4761, 737, 679, 4504, 284, 46106, 3754, 287, 1248, 4761, 355, 262, 18815, 338, 1414, 9866, 11, 290, 373, 13722, 284, 8599, 319, 352, 3945, 1248, 4790, 11, 7351, 355, 18727, 12, 2934, 12, 16544, 284, 15300, 1525, 4176, 11, 262, 7205, 8153, 11, 290, 1568, 284, 262, 10807, 286, 46106, 3754, 11, 7361, 13514, 11582, 12, 47073, 13, 198, 198, 23303, 626, 735, 2714, 1811, 1994, 6851, 287, 262, 17091, 3026, 2139, 422, 1248, 4524, 25, 5953, 7511, 13270, 286, 262, 1001, 88, 12398, 274, 357, 1507, 4524, 1906, 2425, 828, 290, 37726, 4986, 290, 39106, 3611, 287, 43676, 357, 1507, 4524, 1906, 2425, 737, 679, 4504, 284, 4492, 287, 1248, 4304, 11, 290, 9880, 422, 262, 3517, 5407, 355, 257, 10654, 287, 2805, 1248, 3324, 13, 198, 198, 5216, 30752, 2139, 198, 23303, 626, 735, 5399, 262, 17091, 3026, 2139, 2402, 4305, 262, 5428, 11, 290, 373, 1908, 284, 262, 2688, 42556, 287, 1248, 3324, 355, 1992, 286, 9873, 271, 13, 554, 1248, 3695, 11, 339, 373, 11172, 284, 9281, 48158, 355, 262, 18815, 338, 22998, 11, 878, 8024, 284, 262, 1001, 88, 12398, 274, 355, 5953, 7511, 13270, 13, 198, 198, 29168, 273, 286, 17559, 30399, 198, 818, 3945, 1248, 6659, 11, 9398, 626, 735, 373, 8686, 465, 717, 1089, 11094, 287, 17559, 30399, 290, 262, 2688, 5510, 18573, 13, 554, 3090, 11, 339, 373, 9899, 3517, 762, 377, 284, 33208, 11, 290, 2627, 2950, 287, 257, 1688, 4865, 11047, 1022, 33208, 290, 3878, 5491, 13, 383, 4865, 1022, 17559, 30399, 290, 33208, 550, 587, 29286, 992, 329, 812, 11, 262, 21941, 1989, 784, 9105, 1022, 262, 27347, 64, 290, 262, 1869, 78, 18180, 784, 1900, 355, 262, 7096, 24252, 7674, 13, 1550, 1160, 2805, 1248, 6469, 11, 9398, 626, 735, 2957, 257, 781, 313, 5049, 286, 1440, 3517, 2485, 46058, 284, 262, 5261, 666, 3139, 2892, 305, 8869, 11, 19089, 257, 3512, 326, 33208, 269, 18654, 477, 16771, 510, 284, 262, 337, 28485, 5866, 11, 290, 1414, 281, 47846, 414, 286, 4248, 23, 11, 4059, 284, 3517, 21779, 329, 6821, 27010, 416, 15663, 11381, 1780, 262, 1989, 286, 262, 3517, 1624, 13, 317, 15775, 373, 4488, 11, 475, 663, 48815, 373, 6520, 416, 262, 5261, 666, 3845, 11, 290, 9398, 626, 735, 290, 465, 2485, 46058, 4504, 284, 2892, 305, 8869, 287, 2693, 326, 614, 11, 11334, 7103, 41259, 286, 262, 3517, 3667, 11, 290, 48815, 286, 262, 15775, 13, 198, 198, 464, 34548, 6520, 1752, 517, 11, 290, 262, 3517, 12703, 12030, 262, 4752, 7674, 287, 2805, 1248, 5999, 13, 7945, 262, 1104, 286, 262, 1578, 1829, 11, 33208, 19169, 326, 28943, 262, 3517, 1624, 373, 35322, 11, 290, 4488, 262, 15775, 287, 3576, 319, 2534, 3389, 1248, 5332, 13, 383, 4865, 373, 3443, 10282, 287, 41625, 416, 257, 7668, 5810, 422, 1111, 2678, 13, 198, 198, 29168, 273, 286, 48269, 198, 818, 1248, 5332, 11, 9398, 626, 735, 373, 9899, 10807, 286, 48269, 13, 198, 198, 29168, 273, 286, 399, 10254, 198, 818, 49539, 11, 9398, 626, 735, 2627, 10807, 286, 399, 10254, 11, 810, 339, 11829, 351, 262, 41329, 286, 1168, 377, 377, 392, 287, 1248, 5774, 11, 290, 281, 23993, 21540, 2957, 416, 23448, 10277, 15712, 38387, 34, 1039, 71, 1014, 78, 287, 49584, 13, 679, 4504, 284, 4492, 287, 49545, 11, 290, 4983, 319, 262, 3230, 3098, 12, 82, 5031, 548, 5810, 287, 16445, 13, 198, 198, 29168, 273, 286, 20101, 15158, 198, 198, 818, 2805, 31982, 11, 9398, 626, 735, 373, 9899, 10807, 286, 20101, 15158, 357, 2197, 20872, 28143, 828, 810, 465, 4028, 3017, 16610, 262, 1499, 338, 45247, 284, 18132, 403, 1533, 6081, 290, 10243, 283, 707, 10304, 11, 290, 14975, 3929, 262, 705, 79, 13218, 1687, 3256, 257, 35783, 319, 11464, 23089, 13, 679, 373, 635, 2714, 287, 1049, 42213, 1871, 262, 50025, 286, 20872, 28143, 11, 351, 734, 9208, 4172, 47680, 683, 1793, 11358, 284, 262, 40862, 13, 1881, 884, 5770, 1559, 373, 262, 31845, 286, 8252, 324, 4528, 3972, 4294, 296, 13159, 5074, 271, 390, 376, 2591, 4914, 981, 262, 584, 373, 262, 3367, 286, 22912, 360, 4448, 10243, 283, 2271, 522, 13, 383, 390, 376, 2591, 4914, 1641, 3706, 511, 7964, 9398, 626, 735, 422, 663, 2656, 1438, 8595, 4649, 293, 3469, 4447, 11, 1863, 351, 2972, 3354, 286, 511, 1588, 7964, 357, 2197, 9398, 626, 735, 12735, 8, 706, 9398, 626, 735, 11, 777, 2291, 2574, 571, 962, 2975, 290, 9398, 626, 735, 6251, 357, 2197, 14583, 262, 7696, 737, 198, 198, 29168, 273, 286, 4627, 8847, 198, 23303, 626, 735, 4504, 284, 14868, 1044, 3418, 3961, 5665, 4930, 357, 11321, 306, 6412, 284, 355, 3998, 1044, 4930, 8, 318, 257, 18845, 8018, 1524, 4783, 5140, 287, 20154, 9309, 11, 2520, 5913, 11, 1578, 1829, 11, 287, 262, 24287, 2665, 286, 3998, 1044, 3418, 13, 632, 318, 530, 286, 262, 14162, 3957, 12815, 287, 2520, 5913, 11, 351, 257, 1459, 3710, 3265, 2029, 2681, 11, 830, 13, 220, 632, 14051, 2319, 4266, 290, 10399, 11, 734, 4783, 1200, 2478, 4056, 11, 734, 5559, 4266, 11, 281, 4044, 14, 28158, 3641, 290, 1811, 19972, 10399, 290, 4056, 379, 477, 9559, 2974, 13, 383, 4783, 9730, 389, 287, 281, 555, 1939, 40132, 1989, 13, 198, 198, 1890, 509, 12, 1065, 262, 4783, 9179, 360, 658, 4244, 11, 5326, 3245, 11, 749, 286, 10173, 29523, 24153, 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 ]

[ 7091, 279, 16898, 616, 8163, 757, 764, 15506, 345, 750, 1107, 880, 9975, 764, 72, 705, 76, 10607, 351, 534, 4371, 764, 10148, 15506, 5176, 837, 10148, 1312, 531, 764, 15506, 428, 6908, 481, 1282, 287, 15728, 611, 2687, 2753, 1194, 2823, 379, 502, 764, 10148, 81, 21632, 32198, 764, 15506, 1521, 466, 1312, 651, 262, 10647, 345, 705, 260, 7725, 612, 705, 82, 1194, 1368, 5633, 10148, 72, 3177, 9105, 837, 5149, 607, 1312, 373, 299, 470, 1804, 655, 326, 764, 4360, 673, 705, 67, 766, 832, 326, 764, 15506, 379, 1551, 788, 1312, 561, 299, 470, 307, 5586, 1088, 11263, 618, 1194, 1368, 373, 2406, 290, 508, 373, 4497, 764, 10148, 15506, 17463, 1437, 837, 1312, 651, 644, 345, 705, 260, 2282, 837, 475, 1312, 561, 13041, 345, 407, 284, 651, 1165, 7540, 88, 764, 1092, 29241, 508, 714, 5412, 281, 27968, 1362, 3222, 481, 307, 1498, 284, 2512, 257, 2829, 1176, 18100, 764, 361, 1312, 547, 345, 837, 1312, 705, 67, 423, 12526, 7456, 75, 393, 1194, 29241, 351, 345, 379, 477, 1661, 764, 10148, 292, 4451, 355, 607, 5608, 373, 837, 340, 4279, 992, 764, 1169, 845, 2126, 286, 18139, 257, 1767, 14864, 28674, 502, 572, 764, 15506, 1312, 460, 1011, 1337, 286, 3589, 764, 10148, 372, 44551, 67, 2951, 33214, 764, 15506, 356, 477, 761, 1037, 3360, 837, 17463, 1437, 764, 4598, 299, 470, 1309, 534, 11293, 2700, 345, 656, 257, 19538, 290, 6196, 10309, 3074, 764, 10148, 15506, 1312, 705, 76, 407, 281, 22324, 837, 10148, 1312, 531, 837, 616, 8156, 829, 7396, 764, 15506, 3763, 837, 1312, 705, 76, 3910, 286, 326, 764, 4360, 1312, 705, 76, 635, 3910, 345, 705, 260, 48140, 284, 1976, 499, 2130, 764, 72, 705, 76, 655, 2282, 837, 345, 761, 284, 1394, 257, 3608, 1182, 290, 407, 651, 3511, 287, 257, 3074, 345, 1275, 299, 470, 5412, 764, 10148, 72, 13665, 9091, 257, 18666, 764, 15506, 3734, 764, 10148, 22610, 422, 262, 3084, 837, 1312, 3111, 616, 6451, 20170, 12450, 764, 15506, 1312, 761, 284, 5552, 257, 14643, 878, 1312, 1182, 284, 27208, 764, 10148, 15506, 1312, 3285, 285, 15152, 494, 705, 82, 1016, 351, 345, 764, 10148, 72, 32198, 764, 9776, 612, 1997, 428, 10846, 750, 299, 470, 760, 5633, 15506, 10194, 764, 270, 373, 607, 2126, 764, 10148, 7091, 14464, 764, 15506, 673, 1297, 502, 764, 72, 892, 340, 705, 297, 466, 607, 617, 922, 764, 7091, 705, 82, 587, 523, 20170, 16537, 764, 25991, 1972, 1497, 422, 994, 329, 257, 1178, 2250, 481, 1037, 607, 651, 607, 26096, 736, 764, 10148, 72, 5025, 837, 616, 2961, 48689, 6249, 10890, 764, 15506, 1312, 750, 299, 470, 760, 484, 1364, 764, 10148, 81, 21632, 21893, 290, 12606, 607, 5101, 351, 257, 18666, 764, 15506, 673, 468, 299, 470, 550, 257, 5761, 1201, 878, 345, 1392, 994, 764, 270, 705, 82, 262, 5503, 764, 23395, 262, 9825, 351, 16599, 285, 3609, 303, 705, 82, 795, 747, 560, 290, 262, 6745, 49906, 607, 837, 340, 705, 82, 645, 4240, 673, 705, 82, 10226, 764, 10148, 15506, 703, 705, 82, 262, 6745, 49906, 607, 5633, 10148, 72, 2993, 612, 373, 617, 5503, 625, 262, 8055, 286, 262, 3015, 837, 475, 285, 15152, 494, 550, 299, 470, 4750, 262, 6745, 2406, 866, 319, 607, 546, 1223, 764, 15506, 892, 546, 340, 764, 2611, 271, 494, 705, 82, 281, 393, 6008, 764, 1169, 6745, 16507, 319, 607, 284, 25511, 262, 2785, 10906, 286, 511, 5370, 764, 16480, 783, 837, 351, 523, 881, 10311, 319, 428, 1175, 3015, 764, 4360, 673, 468, 299, 470, 587, 1498, 284, 766, 257, 28911, 1517, 764, 10148, 72, 1125, 19103, 319, 616, 10645, 764, 15506, 1312, 550, 299, 470, 1807, 286, 326, 764, 3919, 4240, 673, 705, 82, 3114, 523, 7960, 790, 640, 1312, 705, 303, 1775, 607, 764, 10148, 81, 21632, 14464, 764, 15506, 588, 1312, 531, 837, 3863, 257, 1755, 1497, 481, 1037, 764, 1136, 607, 2000, 572, 1243, 764, 29688, 6991, 502, 345, 705, 297, 1394, 534, 4151, 319, 607, 837, 996, 764, 361, 1997, 4325, 837, 393, 46421, 481, 423, 477, 674, 50201, 764, 10148, 15506, 339, 857, 299, 470, 760, 5633, 10148, 7091, 14682, 607, 1182, 764, 15506, 285, 15152, 494, 1297, 502, 780, 673, 2622, 617, 1037, 351, 607, 27240, 454, 4822, 764, 1169, 691, 1738, 1312, 750, 299, 470, 7267, 373, 326, 645, 530, 481, 7564, 607, 290, 345, 290, 12526, 7456, 75, 481, 307, 612, 284, 2342, 607, 736, 764, 4360, 393, 46421, 561, 467, 2471, 643, 11048, 611, 339, 1043, 503, 764, 10148, 72, 1036, 2175, 616, 9941, 764, 361, 1312, 705, 67, 1900, 340, 561, 307, 428, 1263, 286, 257, 1730, 837, 1312, 705, 67, 423, 6228, 12, 448, 6520, 285, 15152, 494, 705, 82, 2581, 262, 1755, 878, 764, 15506, 922, 284, 760, 764, 10148, 12518, 356, 5284, 379, 27208, 837, 12526, 7456, 75, 925, 257, 307, 4470, 329, 257, 308, 9460, 293, 286, 299, 20896, 82, 764, 16485, 26919, 38597, 355, 262, 4813, 277, 3832, 276, 625, 465, 10325, 764, 72, 28271, 379, 285, 15152, 494, 290, 13665, 9091, 616, 1182, 3812, 262, 2318, 764, 7091, 3940, 1969, 2157, 837, 2048, 1333, 2105, 625, 616, 18728, 764, 8499, 262, 19143, 1312, 705, 67, 1813, 607, 319, 262, 835, 625, 546, 17274, 1969, 290, 407, 11932, 2687, 837, 428, 373, 299, 470, 257, 5975, 764, 72, 655, 550, 299, 470, 14486, 607, 2263, 502, 2407, 523, 7360, 764, 7091, 290, 374, 21632, 550, 1760, 257, 922, 1693, 351, 607, 27487, 764, 265, 717, 1312, 705, 67, 587, 7960, 673, 705, 67, 5409, 284, 423, 257, 1310, 1257, 351, 340, 764, 4360, 484, 705, 67, 3750, 351, 257, 1178, 20586, 837, 475, 4050, 837, 2458, 764, 1169, 2266, 373, 3750, 422, 607, 4190, 837, 290, 262, 4735, 2042, 256, 16746, 547, 5954, 736, 656, 257, 2829, 26902, 13199, 10938, 866, 607, 736, 764, 372, 2951, 547, 4077, 783, 837, 2427, 286, 4171, 837, 290, 607, 9686, 373, 257, 1643, 2392, 764, 7091, 12408, 2042, 21029, 290, 14412, 351, 257, 2042, 10147, 290, 11620, 15224, 764, 7091, 3114, 588, 45610, 3281, 5003, 705, 82, 1310, 6621, 837, 475, 1312, 373, 299 ]

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

[ 1568, 1813, 663, 1459, 1438, 13, 632, 468, 734, 9730, 11, 530, 287, 6366, 430, 290, 262, 584, 287, 11552, 1000, 13, 198, 198, 1026, 13692, 319, 1367, 8950, 25, 9084, 84, 499, 368, 1815, 72, 11, 1081, 12427, 1815, 72, 11, 412, 732, 11, 337, 69, 415, 325, 11, 12822, 11, 360, 648, 1326, 11, 399, 89, 19687, 11, 32167, 65, 3216, 11, 360, 8126, 533, 11, 35371, 6592, 290, 15035, 368, 13, 198, 198, 44206, 198, 2025, 9901, 326, 3769, 4050, 290, 6275, 2594, 329, 262, 12148, 11, 29617, 6826, 1630, 290, 4673, 286, 32825, 666, 8950, 290, 584, 6467, 7612, 832, 33119, 10064, 290, 32596, 1230, 4788, 13, 198, 198, 37057, 198, 464, 4365, 286, 262, 9840, 286, 32825, 42860, 318, 284, 2148, 2594, 287, 32825, 666, 8950, 284, 3925, 11, 5745, 11, 6712, 290, 262, 2276, 2267, 656, 32825, 666, 8950, 11, 3597, 11, 11059, 286, 1729, 12, 12001, 3303, 4963, 11, 8922, 11, 12857, 290, 9207, 286, 4963, 287, 32825, 666, 8950, 290, 284, 4588, 1230, 4788, 319, 32825, 666, 8950, 13, 198, 198, 37046, 198, 464, 9840, 286, 32825, 42860, 357, 33, 8763, 8, 318, 262, 25397, 966, 329, 262, 2478, 11, 12148, 11, 29617, 6826, 1630, 290, 4673, 286, 32825, 666, 8950, 290, 584, 6467, 7612, 13, 632, 635, 16717, 5070, 42283, 319, 32825, 666, 8950, 832, 262, 763, 12, 585, 1883, 286, 477, 5942, 2950, 287, 11560, 32825, 666, 8950, 13, 198, 198, 18122, 198, 818, 24648, 340, 373, 11513, 656, 257, 5011, 739, 262, 9475, 286, 6188, 13, 632, 373, 1568, 11172, 422, 262, 9475, 286, 6188, 284, 262, 9475, 286, 7868, 287, 19342, 13, 383, 9840, 468, 1201, 352, 3426, 11104, 587, 739, 262, 2351, 4513, 319, 17346, 416, 262, 350, 8575, 34, 3854, 32544, 13, 383, 9840, 286, 32825, 42860, 318, 257, 1230, 9901, 2950, 287, 262, 9856, 290, 6467, 3626, 286, 262, 3277, 13, 632, 318, 257, 3748, 9901, 780, 11, 355, 257, 1230, 12407, 2156, 11, 340, 318, 262, 691, 9901, 286, 663, 1611, 326, 34134, 11541, 287, 32825, 666, 8950, 13, 198, 198, 8053, 286, 13445, 198, 198, 19927, 198, 198, 28848, 286, 32825, 198, 220, 198, 32065, 17199, 33704, 377, 952, 16556, 48335, 2360, 72, 357, 1954, 3269, 1596, 4531, 784, 3261, 2901, 1248, 3980, 828, 3221, 1444, 655, 16556, 48335, 2360, 72, 11, 373, 281, 8200, 1515, 1512, 3478, 273, 290, 13777, 4701, 286, 1049, 11533, 290, 1943, 11, 3025, 15345, 3451, 373, 1912, 287, 6342, 13, 198, 198, 23286, 4867, 198, 198, 33, 585, 2360, 72, 373, 4642, 287, 402, 8101, 272, 13827, 11, 1474, 24626, 18811, 11, 8031, 13, 679, 373, 257, 1720, 286, 262, 24626, 18811, 3478, 273, 1524, 543, 20973, 351, 8118, 330, 17902, 3271, 290, 220, 12822, 316, 5733, 327, 11590, 15516, 11, 290, 287, 543, 460, 307, 14789, 11, 287, 3090, 284, 3271, 338, 734, 1266, 25613, 357, 3672, 306, 465, 3367, 220, 50191, 290, 220, 23174, 1400, 3019, 2743, 11, 1111, 12411, 287, 9847, 5362, 338, 1515, 292, 828, 290, 13769, 48335, 2360, 72, 2241, 11, 635, 360, 3674, 3713, 2094, 89, 23225, 290, 50191, 12350, 12523, 6256, 5362, 764, 198, 198, 33, 585, 2360, 72, 925, 465, 1515, 1512, 8886, 287, 5267, 3301, 287, 1248, 2919, 1231, 7317, 3249, 351, 881, 1943, 13, 554, 1248, 1485, 339, 18876, 2241, 355, 257, 26960, 286, 262, 2597, 286, 20559, 343, 952, 287, 9847, 5362, 338, 309, 1192, 445, 72, 379, 262, 19130, 3301, 26624, 351, 257, 15444, 7464, 290, 379, 262, 23166, 286, 262, 1665, 47756, 797, 287, 21574, 11, 290, 1568, 2627, 845, 4075, 287, 11560, 326, 26777, 338, 2647, 13, 679, 4120, 287, 867, 286, 9847, 5362, 338, 1515, 292, 319, 511, 717, 10470, 287, 2972, 11684, 290, 23776, 411, 11, 8384, 9489, 262, 9176, 6198, 23568, 416, 50191, 3271, 13, 554, 1248, 1495, 339, 2727, 262, 2597, 286, 1482, 660, 2566, 7980, 641, 74, 1659, 287, 9847, 5362, 338, 13778, 25357, 9460, 952, 257, 797, 12078, 13, 679, 25889, 329, 867, 812, 379, 262, 536, 2634, 22940, 33945, 748, 632, 7344, 641, 287, 6342, 13, 679, 2627, 257, 4701, 379, 262, 6342, 7162, 5549, 557, 287, 1248, 1954, 290, 3767, 284, 4545, 612, 1566, 8972, 878, 465, 1918, 11, 543, 5091, 287, 6342, 13, 2399, 25613, 3017, 38201, 660, 12182, 456, 14064, 325, 13, 198, 198, 1544, 373, 262, 1772, 286, 257, 3199, 13777, 2446, 11, 290, 13160, 867, 5621, 286, 12435, 2696, 543, 6150, 287, 779, 329, 39113, 329, 257, 4289, 12979, 13, 679, 373, 2192, 262, 749, 14212, 4701, 286, 262, 3594, 3478, 273, 25343, 41533, 11, 508, 1816, 284, 683, 287, 1248, 3559, 25, 584, 2444, 2291, 35331, 6472, 303, 15516, 290, 50191, 38789, 78, 10682, 13, 198, 198, 33, 585, 2360, 72, 373, 11343, 262, 406, 2634, 70, 295, 288, 6, 29478, 710, 333, 319, 838, 1737, 1248, 2670, 416, 337, 13, 390, 14345, 1845, 259, 11, 379, 262, 976, 640, 326, 340, 373, 11343, 284, 262, 5890, 286, 262, 8670, 2634, 430, 360, 27287, 29232, 11, 290, 284, 262, 26777, 42621, 4312, 48590, 89, 11, 508, 2630, 326, 48335, 2360, 72, 373, 262, 1266, 13777, 12, 9866, 286, 326, 2278, 13, 198, 6653, 4957, 31774, 48335, 2360, 72, 25889, 7675, 287, 968, 1971, 2254, 287, 1248, 2682, 13, 198, 198, 38097, 393, 21421, 717, 13289, 286, 9847, 5362, 1515, 292, 198, 464, 1708, 1351, 28800, 3240, 393, 21421, 717, 13289, 286, 9847, 5362, 1515, 292, 287, 543, 16556, 48335, 2360, 72, 4120, 13, 3574, 428, 1351, 530, 460, 7564, 262, 14015, 338, 11091, 4118, 84, 16579, 11, 12897, 1022, 465, 4569, 2318, 270, 20996, 3478, 273, 9176, 11, 290, 262, 3756, 3478, 382, 542, 1373, 83, 2879, 3354, 3194, 416, 9847, 5362, 287, 15444, 11, 1055, 952, 12, 785, 291, 290, 9048, 1515, 292, 13, 198, 198, 818, 3090, 284, 262, 9847, 5362, 9176, 11, 48335, 2360, 72, 635, 2921, 717, 13289, 379, 262, 536, 2634, 22940, 33945, 12, 1026, 42690, 287, 11243, 26689, 81, 447, 247, 82, 2449, 2516, 68, 2566, 16703, 12, 32476, 357, 9139, 77, 395, 78, 8, 287, 1248, 1129, 26, 287, 1737, 81, 447, 247, 82, 2019, 18213, 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 ]

[ 26899, 198, 91, 51, 22328, 198, 91, 22, 357, 940, 828, 220, 198, 91, 18, 1737, 2211, 198, 91, 31494, 28, 9464, 91, 198, 91, 31494, 28, 9464, 91, 198, 91, 12, 31494, 28, 16159, 198, 91, 2920, 198, 91, 16643, 198, 91, 3901, 12, 22, 12, 16, 198, 91, 31494, 28, 9464, 91, 14236, 952, 40766, 13109, 337, 11106, 198, 91, 51, 22328, 198, 91, 21, 357, 1065, 828, 220, 198, 91, 17, 4280, 4793, 198, 91, 31494, 28, 9464, 91, 198, 91, 31494, 28, 9464, 91, 198, 91, 12, 31494, 28, 16159, 198, 91, 2780, 198, 91, 43, 793, 198, 91, 1821, 12, 22, 12, 16, 198, 91, 31494, 28, 9464, 91, 2039, 10872, 4100, 7718, 44076, 198, 91, 51, 22328, 198, 91, 24, 357, 1065, 828, 220, 198, 91, 23, 5979, 4793, 198, 91, 31494, 28, 9464, 91, 198, 91, 31494, 28, 9464, 91, 198, 91, 12, 31494, 28, 16159, 198, 91, 2857, 198, 91, 16643, 198, 91, 1821, 12, 21, 12, 16, 198, 91, 31494, 28, 9464, 91, 1526, 10115, 7431, 261, 440, 16544, 78, 198, 91, 8322, 198, 91, 940, 198, 91, 18, 3158, 4793, 198, 91, 31494, 28, 9464, 91, 198, 91, 31494, 28, 9464, 91, 198, 91, 12, 31494, 28, 16159, 198, 91, 3510, 198, 91, 16643, 198, 91, 2670, 12, 21, 12, 16, 198, 91, 31494, 28, 9464, 91, 14236, 952, 40766, 13109, 337, 11106, 198, 91, 198, 91, 22, 357, 1065, 828, 220, 198, 91, 1065, 2447, 5075, 198, 91, 31494, 28, 9464, 91, 198, 91, 49, 12114, 69, 417, 18351, 318, 262, 8886, 5062, 416, 262, 22945, 3881, 4097, 8152, 82, 13, 632, 373, 2716, 287, 14745, 319, 262, 311, 391, 1700, 6167, 290, 373, 1695, 319, 18470, 290, 14154, 5857, 13, 632, 318, 645, 2392, 287, 3601, 13, 198, 198, 24802, 13487, 220, 198, 49, 420, 257, 371, 349, 198, 44, 86, 70, 198, 34, 77, 559, 198, 6090, 28546, 198, 35, 88, 2611, 6, 81, 10243, 327, 4948, 430, 1533, 198, 45, 418, 14668, 18351, 77, 198, 45, 418, 261, 17552, 417, 314, 3832, 198, 49, 12114, 69, 417, 18351, 198, 198, 42855, 220, 198, 43, 1789, 8092, 68, 357, 53, 420, 874, 11, 45757, 31550, 8, 198, 19040, 8092, 68, 357, 33, 562, 8, 198, 45, 17479, 17100, 357, 6187, 5700, 8, 198, 2348, 403, 10805, 357, 20451, 31550, 8, 198, 198, 34, 19753, 16788, 198, 35411, 16788, 198, 54, 21564, 12, 16129, 16788, 17, 11, 20, 12, 29271, 2788, 23536, 12, 19, 12, 2788, 23536, 31262, 357, 44, 3620, 8, 318, 257, 34490, 2563, 286, 262, 6566, 33077, 2543, 500, 290, 20766, 25385, 5931, 6097, 13, 632, 373, 717, 24983, 1143, 416, 10009, 911, 377, 1655, 13, 554, 465, 1492, 13993, 38730, 1847, 11, 339, 8341, 262, 4075, 10742, 2837, 355, 1160, 1906, 1120, 1849, 11296, 11, 290, 262, 9478, 355, 838, 1906, 1415, 2250, 13, 4784, 284, 911, 377, 1655, 11, 35153, 11073, 3124, 28554, 11, 5874, 19428, 11, 290, 3912, 3356, 11, 1871, 584, 3048, 13, 198, 198, 44, 3620, 22194, 28430, 357, 42, 72, 8, 329, 262, 642, 12, 6535, 17, 32, 357, 18, 11, 24, 2780, 299, 44, 828, 642, 12, 6535, 17, 33, 357, 2414, 13, 20, 299, 44, 828, 642, 12, 6535, 22, 357, 22, 11, 21599, 299, 44, 828, 290, 18074, 225, 16, 357, 20, 11, 2998, 22, 299, 44, 8, 20099, 13, 632, 39341, 355, 257, 13027, 26990, 396, 379, 262, 642, 12, 6535, 17, 32, 17408, 13, 35153, 318, 5365, 21792, 329, 777, 5043, 290, 11298, 1877, 14, 12480, 4604, 856, 45160, 838, 11, 830, 299, 44, 8, 28430, 329, 257, 3094, 7177, 286, 584, 6670, 13, 198, 198, 6214, 635, 220, 198, 362, 11, 20, 12, 29271, 2788, 23536, 12, 19, 12, 7266, 301, 270, 7241, 20766, 3202, 41047, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 35153, 5726, 287, 13993, 38730, 1847, 198, 35153, 5726, 287, 13993, 38730, 1847, 5595, 7508, 198, 198, 20, 12, 6535, 17, 33, 26990, 1023, 198, 7004, 301, 270, 7241, 20766, 3202, 41047, 198, 17, 11, 20, 12, 29271, 2788, 1140, 4464, 831, 33077, 2543, 1127, 3673, 260, 12, 35, 480, 12, 646, 12, 38318, 29350, 12, 34, 129, 241, 333, 357, 14508, 1900, 355, 23382, 12, 35, 480, 8, 373, 257, 1402, 27264, 287, 46065, 14778, 11, 3340, 11, 1115, 18212, 357, 17, 4608, 8, 422, 262, 8372, 15191, 286, 262, 9281, 13914, 5866, 13, 632, 373, 257, 23200, 286, 12871, 1566, 340, 373, 49181, 284, 262, 1748, 286, 347, 1214, 446, 287, 15524, 13, 198, 198, 464, 13215, 286, 23382, 12, 35, 480, 12, 646, 12, 38318, 29350, 12, 34, 2577, 333, 220, 547, 6547, 2829, 355, 262, 27264, 550, 262, 2748, 5485, 286, 257, 35991, 13, 6288, 11, 663, 1966, 4067, 24866, 284, 262, 8830, 636, 286, 262, 317, 2665, 286, 347, 1214, 446, 26, 543, 318, 275, 24071, 416, 978, 391, 4675, 284, 262, 24821, 11, 29073, 12, 3237, 22161, 23889, 284, 262, 24287, 11, 8999, 359, 1376, 261, 4675, 284, 262, 26015, 290, 26944, 5362, 35979, 23889, 284, 262, 26283, 13, 198, 198, 18122, 198, 198, 3673, 260, 12, 35, 480, 12, 646, 12, 38318, 29350, 12, 34, 129, 241, 333, 373, 7042, 422, 262, 31526, 43816, 390, 8591, 2547, 10924, 325, 390, 4689, 41196, 390, 8591, 2944, 2934, 293, 500, 287, 11445, 13, 3700, 7491, 1525, 373, 262, 938, 9591, 286, 428, 1748, 11, 422, 15904, 284, 15524, 13, 198, 198, 2202, 2805, 1679, 11, 15524, 11, 23382, 12, 35, 480, 12, 646, 12, 38318, 29350, 12, 34, 129, 241, 333, 373, 49181, 284, 262, 1748, 286, 347, 1214, 446, 284, 8494, 262, 1917, 286, 4955, 6751, 2594, 284, 290, 10941, 281, 12872, 13474, 1230, 329, 884, 257, 1402, 27465, 1989, 13, 23382, 12, 35, 480, 550, 1913, 8470, 351, 262, 1748, 286, 347, 1214, 446, 355, 663, 7674, 373, 2048, 3190, 11191, 416, 347, 1214, 446, 290, 663, 4266, 547, 4983, 416, 262, 347, 1214, 446, 1524, 3096, 13, 198, 198, 3546, 23802, 1708, 262, 24589, 11, 262, 6483, 286, 23382, 12, 35, 480, 12, 646, 12, 38318, 29350, 12, 34, 129, 241, 333, 547, 25121 ]

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

[ 64, 319, 838, 2795, 11, 290, 262, 3790, 286, 262, 8392, 52, 11468, 284, 19610, 13, 383, 360, 6422, 973, 367, 6975, 64, 355, 257, 2779, 329, 2422, 9964, 1028, 262, 14189, 2433, 272, 4380, 338, 29235, 8880, 357, 51, 6489, 37, 8, 1566, 511, 10467, 28105, 5407, 373, 18577, 287, 262, 5838, 286, 911, 557, 319, 678, 3945, 11104, 26, 428, 4137, 262, 1230, 284, 8399, 663, 45416, 379, 367, 6975, 64, 257, 1178, 1528, 1568, 11, 290, 416, 262, 886, 286, 262, 1227, 36316, 14189, 2433, 5000, 13, 383, 309, 6489, 37, 788, 1718, 1630, 286, 262, 1989, 11, 290, 2727, 257, 5127, 1627, 503, 286, 3151, 286, 262, 360, 6422, 13, 198, 198, 2202, 2608, 2805, 11104, 11, 367, 6975, 64, 373, 34221, 422, 262, 1633, 416, 262, 47689, 3701, 5221, 13, 198, 198, 818, 262, 717, 1178, 1933, 706, 262, 3726, 286, 262, 43349, 260, 272, 12, 40226, 14922, 666, 1810, 11, 749, 286, 262, 3265, 11468, 5366, 284, 262, 15425, 286, 8999, 6, 28233, 357, 1157, 11, 830, 828, 1737, 509, 276, 430, 357, 20, 11, 830, 828, 290, 37951, 7126, 357, 19, 11, 830, 737, 2312, 8015, 1568, 4504, 284, 367, 6975, 64, 13, 198, 198, 2481, 301, 4289, 220, 198, 2202, 1511, 2805, 3648, 11, 257, 5194, 18750, 319, 257, 1171, 1323, 287, 367, 6975, 64, 11, 543, 2923, 3624, 661, 290, 10657, 379, 1551, 2681, 517, 13, 383, 1230, 5169, 262, 4260, 25185, 11, 508, 15463, 287, 2184, 484, 550, 13134, 319, 8378, 286, 6249, 738, 2628, 4855, 416, 43349, 21468, 13, 5334, 4473, 373, 991, 287, 1429, 379, 262, 886, 286, 262, 614, 13, 198, 198, 818, 3389, 12131, 11, 262, 3240, 373, 673, 3353, 1141, 262, 14189, 2433, 1810, 13, 383, 367, 6975, 64, 19050, 286, 9450, 14189, 2433, 504, 1718, 1295, 13, 42988, 329, 262, 19050, 373, 14183, 416, 8015, 284, 1703, 9869, 272, 28195, 11, 1390, 376, 5733, 11, 290, 284, 262, 47689, 2351, 5947, 5221, 357, 1677, 8068, 737, 4042, 17622, 11468, 13, 8694, 286, 262, 3240, 373, 2077, 625, 416, 2828, 422, 1703, 71, 3301, 17718, 13, 554, 33448, 11, 661, 547, 1043, 1719, 587, 22485, 11, 8165, 510, 290, 8754, 287, 262, 1665, 365, 2736, 5866, 13, 198, 198, 11522, 24188, 220, 198, 15001, 319, 262, 4343, 20962, 5952, 416, 262, 5694, 34931, 7732, 286, 31592, 357, 34, 4090, 828, 428, 3240, 468, 257, 2472, 3265, 286, 2310, 11, 46435, 11, 286, 4150, 1367, 11, 31010, 389, 1450, 290, 838, 11, 25600, 1466, 26, 428, 318, 281, 2620, 286, 1478, 11, 36330, 625, 262, 9162, 2260, 21649, 13, 2080, 281, 1989, 286, 24652, 13, 3070, 6616, 18212, 11, 367, 6975, 64, 468, 257, 3265, 12109, 286, 25500, 13, 1120, 13, 317, 2472, 286, 5125, 13, 5705, 4, 12503, 547, 14789, 287, 428, 266, 1850, 64, 11, 7186, 287, 281, 2811, 286, 718, 11, 15277, 6506, 284, 257, 6641, 11, 290, 513, 13, 1821, 5627, 4991, 13, 383, 3741, 286, 262, 17622, 531, 484, 19893, 47689, 17650, 13624, 11, 351, 10261, 13, 1507, 4, 6447, 326, 355, 511, 5737, 11, 981, 718, 13, 2231, 4, 286, 262, 3265, 547, 3765, 13, 198, 198, 40226, 6988, 30084, 286, 11611, 701, 64, 367, 6975, 64, 266, 1850, 64, 198, 198, 10082, 4867, 220, 198, 39, 6975, 64, 318, 5140, 287, 48164, 31592, 13, 2750, 2975, 340, 318, 220, 24821, 286, 3060, 271, 2275, 15498, 11, 220, 7421, 286, 42859, 6, 11129, 11, 290, 220, 7627, 286, 911, 557, 13, 383, 1665, 365, 89, 2634, 7850, 4539, 284, 262, 7421, 286, 367, 6975, 64, 13, 383, 3240, 318, 4104, 319, 262, 7627, 3331, 286, 262, 7850, 13, 367, 6975, 64, 318, 5140, 379, 20334, 16069, 422, 642, 5332, 285, 2029, 5417, 1241, 13, 198, 198, 37649, 220, 198, 39, 6975, 64, 468, 257, 3024, 10663, 12, 283, 312, 4258, 357, 42, 9101, 381, 268, 4258, 17923, 347, 2484, 737, 383, 4045, 4258, 3690, 262, 614, 318, 11607, 290, 5894, 13, 383, 5079, 25807, 16069, 1022, 7337, 290, 10053, 1849, 3020, 11, 351, 749, 286, 262, 6290, 7463, 287, 262, 37259, 1622, 357, 15749, 510, 284, 2693, 737, 198, 198, 28489, 88, 198, 464, 3265, 5732, 12034, 1141, 262, 16035, 1622, 1123, 614, 11, 618, 23088, 3259, 9240, 422, 477, 625, 262, 1499, 13, 311, 34038, 11, 25655, 456, 388, 11, 290, 17526, 27142, 389, 1871, 262, 749, 2219, 14450, 13, 198, 198, 8291, 634, 198, 198, 464, 3240, 318, 4983, 416, 367, 6975, 64, 12690, 13, 4900, 340, 2492, 470, 13919, 2233, 284, 257, 4865, 11047, 11, 319, 2608, 2901, 3717, 706, 1115, 40717, 14746, 357, 14508, 1444, 3992, 14746, 11, 4455, 14746, 11, 6444, 14746, 11, 393, 2391, 14746, 8, 389, 1402, 7021, 286, 1366, 2727, 416, 257, 3992, 4382, 981, 257, 2836, 318, 23182, 257, 3052, 290, 4624, 319, 262, 2836, 338, 3644, 393, 584, 3335, 416, 262, 2836, 338, 3992, 6444, 13, 45305, 389, 4624, 319, 262, 3335, 973, 284, 1895, 257, 3052, 11, 290, 517, 621, 530, 19751, 743, 307, 4624, 319, 257, 2836, 338, 3335, 1141, 257, 6246, 13, 198, 198, 28937, 444, 4691, 4465, 290, 3360, 6393, 5499, 319, 262, 3992, 13, 1119, 7139, 3992, 9597, 284, 3650, 1181, 913, 1321, 357, 10508, 355, 3709, 2087, 287, 262, 9735, 6383, 287, 281, 2691, 3650, 8, 319, 262, 2836, 338, 3335, 393, 284, 2610, 262, 2836, 338, 23182, 3842, 357, 8201, 12264, 1948, 12163, 11, 18931, 287, 11, 393, 8296, 543, 5468, 547, 8672, 287, 262, 1613, 737, 1119, 460, 635, 307, 973, 284, 3613, 329, 8840, 779, 1321, 326, 262, 2836, 4271, 5982, 656, 1296, 7032, 11, 884, 355, 3891, 11, 9405, 11, 21442, 11, 290, 6074, 2657, 3146, 13, 198, 198, 47649, 3299, 14746, 389, 8811, 973, 416, 3992, 9597, 284, 8323, 5344, 326, 257, 2836, 318, 18832, 287, 11, 290, 351, 543, 1848, 484, 389, 18832, 287, 13, 9170, 262, 19751, 11, 2985, 561, 761, 284, 8323, 5344, 2405, 416, 18931, 287, 319, 1123, 2443, 7268, 8564, 1321, 326, 484, 4601, 284, 1895, 13, 383, 2324, 286, 281, 18239, 19751, 4143, 8338, 319, 262, 2324, 286, 262, 19089, 3052, 290, 262, 2836, 338, 3992, 6444 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 257, 4693, 286, 44400, 286, 262, 1641, 28467, 1173, 31718, 13, 632, 318, 1043, 287, 5828, 13, 198, 198, 464, 12098, 6839, 318, 546, 1160, 1849, 3020, 13, 383, 2323, 9568, 286, 262, 1674, 48819, 318, 40551, 8566, 1863, 262, 30390, 13015, 11, 475, 4306, 10861, 12, 5374, 260, 516, 13, 383, 30390, 2405, 389, 2042, 680, 7586, 11, 475, 267, 354, 260, 516, 287, 262, 12445, 282, 1989, 13, 198, 198, 19927, 198, 198, 44, 27118, 3417, 287, 4751, 198, 32, 333, 13951, 4265, 198, 44, 27118, 286, 5694, 2253, 32, 333, 13951, 4265, 2537, 330, 9304, 1437, 318, 257, 4693, 286, 44400, 286, 262, 1641, 28467, 1173, 31718, 13, 632, 318, 1043, 287, 21291, 13, 198, 198, 19927, 198, 198, 44, 27118, 3417, 287, 34463, 198, 32, 333, 13951, 4265, 198, 44, 27118, 286, 2520, 2253, 37, 2787, 756, 3250, 10718, 49714, 287, 10674, 11, 27139, 11, 2520, 4505, 11, 543, 318, 5140, 1626, 262, 2254, 286, 3811, 3841, 13, 198, 198, 43568, 468, 1588, 3006, 286, 1280, 2272, 11, 351, 262, 749, 9208, 852, 38433, 756, 3250, 11, 319, 8774, 2258, 5567, 13, 632, 373, 6198, 1900, 355, 8329, 3250, 13, 198, 198, 464, 1966, 2254, 286, 10674, 373, 262, 6621, 1748, 286, 38433, 756, 11, 3442, 11, 543, 38433, 756, 3250, 373, 3706, 706, 13, 383, 38433, 756, 3250, 318, 257, 37408, 4077, 2272, 810, 345, 460, 8960, 11, 5517, 290, 2883, 351, 534, 1641, 13, 632, 318, 5901, 351, 477, 262, 18136, 35468, 11, 884, 355, 281, 477, 12, 1799, 711, 5112, 11, 257, 308, 1031, 1765, 78, 11, 281, 5517, 11550, 290, 734, 24817, 82, 13, 632, 635, 3407, 257, 1588, 13546, 543, 468, 587, 3566, 1431, 351, 277, 608, 1299, 290, 1660, 23348, 13, 198, 198, 6214, 635, 198, 8053, 286, 27139, 14860, 290, 25476, 198, 198, 19927, 198, 198, 47, 5558, 287, 27139, 6090, 2577, 278, 290, 17356, 868, 547, 2714, 379, 262, 7795, 7740, 5776, 287, 35007, 11, 16952, 422, 807, 284, 1367, 3426, 13, 6065, 338, 290, 1466, 338, 5449, 547, 2714, 287, 17356, 461, 290, 1450, 338, 5449, 287, 1680, 2577, 351, 477, 2995, 1719, 2077, 1295, 379, 262, 9347, 1736, 620, 272, 40425, 10840, 287, 609, 261, 6236, 72, 13, 383, 5449, 3017, 691, 18553, 2995, 13, 198, 198, 9921, 282, 1023, 198, 198, 10418, 198, 198, 18495, 198, 198, 9921, 282, 3084, 198, 198, 19927, 628, 220, 198, 21113, 7740, 5776, 2995, 198, 21113, 198, 43224, 5776, 198, 21113, 7740, 5776, 17121, 367, 13, 11130, 1648, 2959, 21087, 3961, 11, 635, 1900, 355, 262, 11130, 15352, 3683, 3337, 11, 318, 257, 9566, 19823, 1524, 5140, 379, 24756, 11, 6025, 13, 220, 632, 373, 3170, 287, 32062, 1906, 1129, 1433, 11, 290, 318, 257, 734, 12, 13571, 11, 36954, 11, 37726, 48095, 3918, 17214, 2615, 13, 220, 632, 3033, 2060, 12, 13571, 46233, 5171, 1502, 2493, 291, 418, 326, 1628, 422, 1123, 1735, 22910, 355, 880, 355, 422, 262, 2166, 24685, 16175, 671, 13, 220, 632, 318, 20633, 416, 257, 27589, 5017, 11, 1877, 21730, 11, 289, 3949, 9753, 13, 220, 632, 373, 3706, 198, 1640, 3977, 17628, 11130, 1648, 2959, 357, 39188, 12, 1507, 4790, 8, 262, 1772, 286, 262, 717, 3210, 471, 13, 50, 13, 9173, 2168, 508, 373, 257, 34700, 12811, 286, 1171, 3707, 290, 257, 2059, 286, 6025, 6240, 286, 6573, 8876, 13, 11130, 1648, 2959, 3961, 24368, 284, 307, 257, 1171, 1524, 287, 15674, 13, 198, 198, 1026, 373, 5610, 319, 262, 2351, 17296, 286, 30426, 37291, 287, 3717, 13, 220, 632, 318, 5140, 287, 262, 24756, 290, 17399, 368, 283, 293, 3418, 2734, 23931, 30426, 5665, 13, 198, 198, 19927, 198, 198, 26130, 6832, 319, 262, 2351, 17296, 286, 30426, 37291, 287, 6025, 198, 5216, 30752, 48095, 10959, 287, 6025, 198, 26130, 6832, 5668, 287, 32811, 198, 26130, 82, 287, 24756, 11, 6025, 198, 16186, 17296, 286, 30426, 37291, 287, 24756, 11, 6025, 198, 5497, 16335, 5610, 14329, 6608, 284, 9566, 12815, 319, 262, 2351, 17296, 287, 6025, 198, 1129, 1433, 33228, 287, 6025, 464, 15963, 8342, 9486, 13895, 43724, 4346, 1074, 7997, 8342, 9486, 2059, 287, 262, 15963, 15244, 5535, 7458, 4346, 1622, 13, 198, 198, 27054, 5950, 198, 198, 19927, 198, 198, 40495, 9486, 198, 40495, 9486, 13895, 43724, 4346, 7028, 198, 40495, 9486, 13895, 43724, 4346, 21902, 353, 371, 48423, 8299, 78, 357, 21159, 1679, 11, 1248, 2425, 784, 2805, 1511, 11, 25177, 8, 373, 257, 5398, 3292, 6441, 396, 290, 14971, 287, 262, 1903, 1160, 400, 4289, 11, 290, 373, 257, 13447, 4139, 287, 262, 1578, 34982, 286, 10553, 532, 7179, 9906, 1230, 422, 30992, 284, 37272, 13, 198, 198, 20457, 1204, 198, 198, 28524, 287, 5164, 75, 342, 21175, 10932, 11, 8838, 287, 1248, 2425, 11, 339, 795, 38769, 284, 3340, 287, 1248, 5999, 290, 373, 257, 47085, 12, 10297, 287, 11582, 11, 10553, 416, 47465, 13, 679, 6405, 19579, 7459, 286, 11307, 11, 10553, 287, 262, 976, 614, 13, 198, 198, 2215, 262, 860, 75, 301, 35588, 5398, 3334, 32358, 373, 7042, 287, 11582, 287, 41625, 11, 8299, 78, 30166, 290, 8278, 625, 640, 284, 1716, 663, 9568, 33861, 13, 198, 198, 32475, 3554, 198, 198, 49, 15578, 373, 7705, 286, 262, 11582, 833, 2367, 290, 7179, 4281, 422, 40538, 284, 30992, 13, 554, 30992, 11, 339, 635, 2627, 5464, 286, 262, 7882, 3000, 11, 257, 11582, 12, 3106, 6441, 3348, 13, 198, 198, 35443, 3451, 198, 198, 49, 15578, 373, 2950, 287, 4819, 379, 477, 2974, 13, 554, 32811, 11, 339, 373, 9899, 355, 257, 2888, 286, 10553, 338, 12275, 286, 13864, 4606, 543, 373, 4920, 284, 2987, 3340, 338, 1175, 3626, 287, 262, 22783, 13, 679, 550, 635, 587, 257, 2888, 286, 262, 5926, 286, 7868, 287, 11582, 329, 1811, 812, 13, 198, 198, 818, 41435, 11, 8299, 78, 373, 7018, 355, 262, 1992, 286, 262, 8308, 7042, 13362, 7179, 3615, 11, 290, 561, 1716, 663, 3554, 287, 24168, 13, 679, 6204, 329, 3071, 287, 11582, 2688, 287, 262, 1708, 9964, 25, 628, 287, 262, 1248, 3389, 26833, 416, 12, 14300, 11, 543, 339, 2626, 416, 691, 5014, 5690, 11, 198, 287, 262, 2717, 24168, 2276, 3071 ]

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

[ 355, 257, 15985, 2267, 11444, 351, 262, 3942, 4281, 286, 36694, 4992, 357, 2149, 1503, 737, 1544, 373, 262, 717, 2351, 36831, 329, 262, 1439, 3794, 22819, 3898, 23915, 33764, 4935, 739, 12460, 1503, 357, 42830, 1906, 2425, 737, 5856, 465, 17081, 11, 339, 550, 4920, 257, 4735, 8489, 329, 22849, 2267, 1871, 477, 262, 15985, 3957, 2585, 286, 3794, 13, 554, 9465, 286, 262, 670, 1760, 416, 262, 15985, 1448, 9153, 416, 683, 11, 12460, 1503, 39376, 262, 6745, 338, 845, 717, 5764, 329, 1074, 2267, 284, 606, 287, 15231, 13, 198, 198, 6187, 13, 2986, 14813, 321, 4983, 262, 7318, 290, 19717, 12275, 287, 15231, 284, 13540, 355, 15076, 6623, 5887, 319, 23915, 290, 4935, 4816, 10540, 287, 22815, 13, 679, 4983, 606, 355, 1790, 3381, 17028, 357, 31224, 35399, 8, 287, 22815, 290, 10836, 1141, 12844, 284, 12923, 13, 198, 198, 15017, 14813, 321, 3724, 319, 642, 2795, 13130, 11, 379, 262, 2479, 286, 10261, 13, 198, 198, 23010, 811, 670, 198, 37143, 262, 3721, 286, 7306, 4618, 2099, 329, 3649, 13714, 290, 1903, 24841, 287, 262, 3942, 15985, 18954, 1430, 26, 8639, 284, 2478, 286, 3942, 890, 25629, 15985, 20328, 13, 24125, 556, 1313, 10179, 6593, 287, 40306, 329, 3649, 663, 15985, 3227, 739, 262, 45062, 1063, 286, 4493, 10588, 739, 4725, 6322, 13, 6187, 13, 15017, 14813, 321, 338, 670, 319, 23915, 287, 22815, 373, 725, 1631, 416, 262, 5890, 3611, 286, 262, 9677, 46, 329, 465, 366, 12942, 10156, 284, 262, 2026, 4, 2620, 287, 3227, 1022, 262, 812, 15231, 290, 14489, 1, 290, 4624, 319, 1700, 465, 19163, 329, 262, 976, 13, 198, 198, 33796, 16125, 198, 12679, 8228, 9021, 329, 15985, 357, 42830, 8, 12460, 1503, 6276, 30551, 2168, 11, 645, 13, 838, 13, 198, 34, 11324, 357, 40828, 8, 15815, 560, 3640, 287, 2214, 14450, 11, 14457, 2059, 4332, 11, 9788, 13, 1849, 4531, 1906, 3064, 13, 198, 10262, 380, 12, 23569, 286, 23915, 287, 3794, 357, 21498, 8, 7740, 2449, 380, 12, 23569, 11, 352, 25, 19, 11, 22370, 12, 28072, 198, 32779, 2667, 11257, 287, 10224, 18954, 329, 15985, 9025, 357, 15724, 8, 31345, 13, 2558, 13, 1632, 3149, 13, 471, 1921, 360, 9869, 86, 324, 14, 2149, 1503, 11, 352, 1906, 20, 13, 198, 198, 32, 2017, 290, 45667, 2367, 198, 371, 19910, 21157, 16828, 86, 1872, 14861, 11596, 422, 262, 3942, 4281, 286, 36694, 4992, 357, 2149, 1503, 8, 220, 357, 42830, 8, 198, 29764, 286, 3942, 8581, 286, 13473, 357, 40828, 737, 198, 29764, 286, 3942, 7023, 329, 23915, 33764, 11, 22917, 357, 16942, 8, 198, 5155, 3862, 45511, 11289, 422, 262, 2059, 286, 36694, 13473, 11, 360, 9869, 86, 324, 357, 15724, 8, 198, 5155, 3862, 45511, 11289, 422, 262, 23915, 7712, 290, 4992, 5396, 11, 367, 560, 2271, 357, 14315, 8, 198, 198, 16130, 198, 198, 41506, 6117, 198, 34, 11324, 2106, 3794, 416, 1583, 13, 569, 13, 50, 290, 1583, 13, 53, 13, 3309, 41158, 198, 12449, 22050, 319, 24125, 327, 1773, 19174, 40996, 532, 327, 2149, 49, 13129, 198, 27726, 5882, 520, 24052, 23915, 19009, 21983, 317, 33165, 16025, 198, 198, 1129, 1495, 27244, 198, 23344, 7040, 198, 30821, 556, 1313, 296, 1023, 198, 30821, 1033, 26646, 689, 287, 22815, 198, 8061, 422, 309, 35406, 7785, 333, 4783, 198, 29193, 422, 32519, 46917, 9908, 417, 797, 29700, 357, 6286, 3267, 362, 11, 12923, 8, 318, 257, 1966, 5859, 9761, 13, 679, 2826, 4152, 4346, 379, 262, 2059, 286, 36782, 13, 198, 198, 38951, 35691, 198, 3041, 29700, 3377, 1440, 812, 379, 262, 2059, 286, 36782, 810, 339, 2826, 319, 262, 1524, 9669, 1074, 329, 734, 812, 878, 2406, 1973, 262, 41594, 286, 16902, 1982, 47, 21067, 11, 1182, 3985, 286, 262, 2059, 286, 36782, 9957, 1074, 13, 797, 29700, 2497, 617, 33436, 1938, 290, 484, 5220, 339, 1282, 1949, 503, 329, 262, 1074, 13, 791, 82, 17403, 798, 351, 262, 983, 286, 9669, 11, 339, 3888, 319, 284, 1716, 281, 31483, 4346, 2137, 13, 3827, 465, 938, 734, 7028, 286, 6403, 11, 339, 373, 1498, 284, 1205, 465, 4346, 4678, 284, 262, 966, 326, 1111, 262, 45239, 290, 5134, 1718, 4003, 13, 198, 198, 34, 3697, 13650, 198, 7571, 1528, 706, 465, 3414, 8415, 287, 10306, 11, 797, 29700, 373, 15937, 416, 262, 6586, 49974, 17712, 2608, 400, 4045, 287, 262, 3050, 45239, 13650, 319, 1737, 362, 11, 3050, 13, 2293, 257, 1913, 4478, 379, 262, 45239, 34959, 5425, 11, 797, 29700, 373, 10307, 355, 262, 1367, 400, 1266, 4045, 5398, 6034, 416, 262, 45239, 412, 12, 21111, 49716, 9840, 13, 14444, 284, 465, 5134, 8415, 11, 465, 4538, 4283, 550, 17788, 15394, 290, 373, 6163, 287, 262, 5544, 2835, 13, 198, 3260, 852, 2005, 422, 262, 968, 1971, 12056, 319, 2932, 2681, 11, 2321, 11, 797, 29700, 4488, 257, 1730, 351, 262, 6586, 49974, 17712, 1550, 2932, 2579, 11, 2321, 13, 198, 198, 49138, 3451, 198, 2202, 3035, 1542, 11, 3050, 11, 797, 29700, 373, 4488, 355, 281, 44178, 1479, 5797, 416, 262, 10306, 17671, 706, 691, 4964, 257, 2060, 7444, 2008, 4478, 11330, 286, 262, 3624, 4346, 1830, 326, 339, 2826, 287, 13, 220, 4784, 284, 511, 3052, 11, 262, 10306, 17671, 28170, 797, 29700, 422, 511, 3357, 8244, 319, 2693, 604, 11, 3050, 13, 1550, 2805, 1511, 11, 2321, 797, 29700, 373, 4488, 416, 262, 968, 1971, 12056, 13, 220, 679, 373, 2005, 416, 262, 968, 1971, 12056, 319, 2932, 2681, 11, 2321, 13, 198, 198, 2202, 2932, 2579, 11, 2321, 11, 797, 29700, 373, 4488, 416, 262, 6586, 49974, 17712, 286, 262, 5398, 9957, 4041, 13, 198, 198, 2202, 2693, 1596, 11, 2211, 11, 797, 29700, 373, 2716, 416, 262, 6586, 49974, 17712, 13, 198, 198, 2202, 2693, 1160, 11, 2211, 797, 29700, 373, 4488, 355, 257, 1479, 5797, 416, 262, 11582, 17030, 12, 34, 1381, 286, 262, 5398, 9957, 4041, 13, 198, 198, 2202, 1737, 1105, 11, 1853, 797, 29700, 9880, 422, 4708, 4346, 13, 198, 198, 30228, 1204, 198, 3041, 29700, 318, 262, 26301, 286, 1966, 9481, 2137, 13329, 6656, 12528, 79, 13, 198, 9908, 417, 6348, 510, 287, 9121, 4244, 11, 10553, 11, 810, 339, 9141, 1757, 27633, 4302 ]

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

[ 695, 31470, 263, 12898, 13, 770, 635, 30940, 1719, 284, 3067, 832, 27609, 40612, 13, 198, 198, 6214, 635, 220, 198, 3942, 3881, 12, 8968, 10959, 198, 7343, 286, 3794, 11527, 27081, 198, 198, 19927, 198, 198, 41506, 6117, 220, 628, 399, 695, 31470, 263, 12898, 311, 5185, 265, 956, 36599, 3301, 18603, 10857, 968, 35699, 198, 399, 695, 31470, 263, 12898, 311, 5185, 265, 956, 36599, 3301, 18603, 10857, 1388, 35699, 198, 399, 695, 31470, 263, 12898, 532, 317, 20458, 29151, 39669, 284, 307, 8444, 2557, 198, 198, 39, 10259, 11527, 27081, 287, 31625, 48088, 198, 2484, 12151, 27081, 287, 31625, 48088, 198, 39, 10259, 27081, 287, 11775, 1477, 1437, 509, 1236, 4763, 4783, 198, 1314, 400, 12, 14792, 16397, 27081, 198, 1415, 5774, 33228, 287, 7229, 198, 1314, 400, 12, 14792, 33228, 287, 3794, 198, 10082, 4867, 286, 11775, 1477, 1437, 509, 1236, 4763, 4783, 27100, 363, 10513, 357, 34, 359, 25686, 21356, 5031, 8, 318, 257, 1402, 3240, 1044, 9105, 287, 262, 3026, 28830, 286, 28523, 66, 724, 268, 287, 3418, 5027, 1014, 11, 7517, 13, 198, 198, 1026, 318, 5140, 546, 807, 4608, 422, 5027, 1014, 1748, 11, 655, 572, 262, 399, 3270, 2975, 543, 17781, 5093, 422, 5027, 1014, 3371, 1012, 361, 6559, 13, 198, 20459, 1438, 318, 10944, 422, 262, 8685, 1438, 286, 327, 359, 25686, 21356, 5031, 11, 543, 1724, 4564, 319, 262, 10358, 263, 357, 1659, 257, 12788, 737, 198, 17854, 612, 318, 262, 20073, 286, 257, 1402, 4928, 1626, 262, 13215, 286, 12265, 363, 10513, 11, 319, 262, 4387, 2524, 287, 262, 1989, 11, 3864, 21356, 3327, 13, 198, 198, 18273, 262, 717, 2063, 286, 262, 1160, 400, 4289, 11, 39652, 291, 373, 262, 3303, 973, 287, 262, 1989, 11, 475, 428, 373, 2626, 287, 262, 6846, 2063, 11, 351, 257, 1487, 284, 3594, 13, 198, 198, 27100, 363, 10513, 468, 15726, 10944, 1295, 12, 14933, 884, 355, 5628, 1177, 11, 21714, 1071, 272, 11, 311, 344, 342, 290, 8999, 576, 536, 12571, 284, 15714, 3006, 286, 262, 3240, 1044, 13, 198, 43, 619, 509, 541, 7850, 4539, 422, 262, 13546, 11, 406, 619, 509, 541, 11, 832, 262, 3240, 1044, 3371, 347, 453, 421, 343, 365, 6233, 11, 257, 3745, 263, 329, 262, 881, 5749, 13546, 11, 262, 2744, 822, 13, 198, 198, 6943, 286, 262, 1956, 287, 262, 1989, 318, 973, 355, 45723, 11, 50225, 422, 22922, 1360, 393, 47500, 3006, 13, 198, 198, 4366, 286, 262, 4172, 2877, 287, 262, 1989, 423, 5615, 612, 329, 10439, 290, 511, 3891, 460, 307, 9569, 319, 1956, 23777, 422, 262, 678, 400, 4289, 13, 2293, 257, 4268, 287, 262, 3240, 1044, 3265, 422, 262, 9507, 82, 284, 262, 7169, 82, 11, 281, 25065, 286, 661, 287, 262, 6303, 82, 11, 2233, 284, 663, 20387, 284, 5027, 1014, 1748, 11, 468, 48677, 262, 1402, 3265, 13, 198, 198, 38097, 4447, 286, 3418, 5027, 1014, 2937, 1921, 393, 4021, 292, 743, 3522, 284, 25, 198, 471, 26292, 96, 292, 393, 471, 1477, 292, 11, 257, 16397, 22215, 198, 471, 46481, 292, 11, 257, 3859, 983, 329, 262, 6579, 55, 362, 198, 1294, 1921, 357, 31438, 828, 257, 900, 286, 5479, 973, 416, 262, 18091, 11, 9358, 11, 290, 33362, 11798, 198, 1578, 1829, 3701, 4809, 11, 257, 34826, 284, 262, 1578, 1829, 3701, 5221, 198, 1578, 1829, 33149, 4809, 198, 1578, 14882, 12914, 19372, 1381, 21936, 11, 257, 1578, 1829, 3710, 4009, 329, 8383, 2489, 198, 1294, 1921, 12, 1065, 11, 281, 11353, 18607, 54, 3258, 324, 1000, 20515, 4429, 318, 5140, 319, 262, 49967, 585, 1627, 13, 21131, 6605, 287, 262, 5366, 12, 14197, 27139, 23200, 286, 1810, 6335, 1000, 11, 340, 318, 1511, 13, 22, 23990, 422, 27139, 4429, 13, 632, 373, 12500, 1513, 416, 2046, 290, 12412, 30080, 13, 198, 198, 18122, 220, 198, 54, 3258, 324, 1000, 9327, 373, 3170, 287, 25190, 11, 5433, 812, 706, 367, 659, 9327, 373, 4721, 543, 318, 655, 7421, 286, 262, 4429, 13, 383, 4429, 373, 6572, 416, 257, 2046, 287, 262, 8069, 82, 290, 373, 12412, 30080, 13, 632, 318, 5140, 319, 32130, 3813, 16740, 11, 1810, 6335, 1000, 11, 1969, 284, 262, 9121, 4447, 4429, 284, 262, 7627, 13, 198, 198, 1026, 10874, 286, 530, 7372, 7022, 3859, 9857, 416, 281, 739, 6603, 290, 257, 22382, 12538, 379, 262, 10183, 886, 286, 262, 3859, 13, 383, 4429, 468, 587, 15328, 24903, 287, 16082, 6409, 1661, 290, 318, 2407, 281, 30690, 4417, 13, 383, 11772, 286, 262, 4429, 318, 3748, 319, 262, 49967, 585, 1627, 475, 2092, 284, 262, 2656, 10674, 290, 10674, 2520, 23629, 13, 383, 4429, 739, 6603, 318, 530, 2092, 284, 262, 33193, 739, 6603, 290, 318, 13025, 7135, 13, 198, 198, 31007, 416, 3859, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 44631, 1014, 8985, 287, 27139, 198, 44631, 1014, 8985, 287, 4505, 4721, 287, 25190, 464, 46820, 290, 10216, 4244, 36289, 220, 318, 257, 24337, 287, 7859, 11, 1578, 1829, 13, 198, 198, 1026, 373, 8262, 1068, 287, 1248, 2791, 290, 12228, 1566, 49584, 1262, 14260, 284, 2834, 6787, 5006, 625, 257, 767, 12, 18085, 6339, 13, 16178, 262, 14260, 547, 9880, 290, 262, 317, 5, 50, 4444, 510, 5361, 257, 513, 12, 18085, 24337, 284, 2148, 8787, 1022, 584, 6787, 21372, 13, 198, 198, 25262, 49429, 290, 21489, 11, 262, 317, 5, 50, 373, 2702, 26913, 284, 262, 8050, 32130, 11, 262, 5694, 286, 7859, 32130, 11, 262, 26070, 290, 4885, 5913, 32130, 290, 262, 7859, 36289, 13, 198, 198, 464, 317, 5, 50, 318, 3058, 12228, 355, 257, 15430, 1627, 26913, 6898, 416, 9429, 55, 15198, 290, 262, 32134, 8050, 32130, 13, 198, 198, 19927, 628, 220, 198, 220, 198, 198, 41072, 357, 52, 13, 50, 13, 1181, 8, 6787, 21372, 198, 44631, 1014, 2706, 4920, 287, 1248, 2791, 198, 10462, 19811, 290, 12094, 6787, 21372, 198, 18122, 286, 46820, 11, 7859, 198, 15419, 12, 3575, 803, 2219, 11920, 30724, 6787, 21372, 287, 262, 1578, 1829, 21428, 18108, 10334, 6893, 357, 26, 4642, 20510, 8, 318, 257, 14845, 6260, 11, 23723, 11, 14015, 11, 21810, 11, 34537, 290, 4014, 13, 679, 373, 4642, 287, 262, 1748, 286, 5256 ]

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

[ 2241, 572, 262, 3084, 290, 10649, 866, 284, 262, 4314, 764, 5832, 766, 837, 37551, 837, 1312, 423, 587, 3181, 284, 345, 5145, 258, 750, 407, 4727, 2241, 764, 33990, 2241, 319, 465, 18728, 837, 339, 2540, 284, 3881, 290, 6763, 261, 1058, 1312, 766, 345, 8347, 837, 616, 13674, 837, 1312, 766, 345, 8347, 837, 287, 262, 8701, 837, 287, 262, 5417, 290, 6766, 837, 8347, 287, 262, 14966, 837, 475, 749, 286, 477, 287, 262, 5788, 837, 1312, 766, 345, 8347, 837, 616, 13674, 764, 12518, 339, 550, 5201, 837, 339, 3114, 510, 379, 479, 967, 2150, 282, 287, 1948, 837, 537, 6320, 465, 2832, 290, 531, 1058, 262, 1621, 5145, 1169, 530, 2081, 290, 21140, 1621, 5145, 258, 34351, 284, 465, 3625, 290, 45569, 479, 967, 2150, 874, 1021, 837, 262, 1621, 345, 4601, 749, 286, 477, 284, 3285, 764, 74, 967, 2150, 282, 925, 257, 46299, 2230, 284, 5402, 326, 428, 373, 407, 2081, 837, 339, 5954, 465, 1021, 1497, 290, 262, 1807, 43908, 656, 465, 3344, 12, 13927, 88, 3632, 1058, 644, 318, 262, 1621, 326, 1312, 749, 765, 284, 3285, 5633, 84, 418, 15066, 7121, 465, 734, 2832, 1022, 11354, 75, 2150, 290, 479, 967, 2150, 282, 837, 290, 618, 484, 14869, 339, 29650, 465, 736, 1022, 606, 290, 4356, 808, 276, 2400, 1136, 1146, 1566, 339, 373, 30835, 21639, 764, 74, 967, 2150, 282, 2921, 835, 284, 683, 1058, 339, 373, 662, 28756, 351, 2111, 284, 3505, 644, 1621, 339, 550, 1965, 284, 3285, 764, 2232, 75, 2150, 837, 319, 262, 584, 1021, 837, 26643, 837, 10291, 691, 4167, 290, 465, 43618, 764, 84, 418, 2921, 683, 257, 2457, 38332, 290, 36268, 379, 683, 764, 5832, 389, 281, 5347, 4873, 837, 11354, 75, 2150, 262, 20436, 1352, 764, 5832, 389, 257, 582, 4642, 286, 4534, 290, 1660, 837, 40600, 286, 428, 1058, 1660, 1464, 5860, 284, 262, 5417, 837, 290, 611, 262, 4534, 857, 407, 4180, 340, 481, 307, 5281, 1497, 351, 340, 837, 1312, 1560, 345, 428, 329, 2147, 764, 2016, 11354, 75, 2150, 82, 2951, 36405, 837, 339, 750, 407, 1833, 262, 1468, 582, 764, 12081, 9603, 837, 339, 3888, 625, 764, 2197, 837, 479, 967, 2150, 282, 837, 428, 1621, 764, 270, 318, 281, 1468, 837, 1468, 1621, 764, 4919, 1468, 837, 1312, 714, 407, 2221, 284, 1560, 345, 764, 270, 318, 635, 257, 2829, 1621, 837, 355, 3923, 815, 307, 837, 290, 24748, 893, 1049, 11501, 284, 683, 508, 14759, 340, 764, 72, 423, 407, 1690, 1297, 340, 837, 407, 867, 423, 1965, 502, 284, 1560, 340, 837, 329, 262, 12141, 284, 1265, 284, 3285, 340, 318, 3744, 621, 262, 12141, 284, 1560, 340, 764, 4598, 345, 1833, 502, 5633, 64, 1621, 2476, 257, 24783, 878, 340, 2476, 257, 1560, 263, 764, 568, 837, 1312, 716, 257, 11778, 284, 262, 761, 290, 20136, 286, 1854, 837, 1865, 810, 561, 484, 307, 1231, 502, 5633, 4758, 318, 262, 749, 22444, 5633, 1169, 24783, 287, 761, 286, 257, 1560, 263, 837, 393, 262, 1560, 263, 287, 761, 286, 257, 24783, 5633, 72, 466, 407, 760, 837, 329, 1312, 423, 1239, 587, 287, 761, 286, 22054, 287, 4113, 588, 428, 764, 392, 1865, 428, 1917, 17791, 912, 502, 764, 270, 815, 407, 837, 1312, 760, 837, 329, 508, 1683, 2982, 286, 1560, 364, 1231, 22054, 837, 393, 22054, 1231, 1560, 364, 5633, 270, 318, 262, 5885, 286, 884, 257, 13609, 326, 17791, 912, 502, 837, 329, 588, 2279, 2073, 340, 318, 1744, 2644, 481, 345, 651, 502, 617, 4144, 837, 922, 479, 967, 2150, 282, 764, 72, 460, 407, 467, 319, 1566, 1312, 9583, 616, 13589, 764, 84, 418, 25891, 3214, 10574, 290, 35737, 465, 1182, 764, 74, 967, 2150, 282, 1392, 284, 465, 3625, 290, 16499, 262, 2119, 329, 262, 42488, 12, 13884, 764, 439, 339, 714, 766, 373, 257, 5417, 286, 3223, 6665, 837, 750, 345, 651, 262, 4144, 1865, 837, 479, 967, 2150, 282, 5633, 84, 418, 1965, 279, 3087, 29735, 764, 74, 967, 2150, 282, 28507, 1088, 837, 334, 418, 373, 5055, 319, 262, 5852, 16143, 379, 683, 764, 270, 318, 2408, 287, 523, 18012, 257, 1295, 837, 1468, 582, 837, 479, 967, 2150, 282, 531, 30248, 306, 764, 270, 318, 407, 764, 17077, 764, 84, 418, 1718, 257, 2769, 8033, 290, 17293, 1058, 264, 5799, 5145, 320, 23802, 837, 262, 1627, 286, 5055, 1450, 37813, 290, 264, 5799, 4120, 764, 7091, 5281, 34796, 287, 530, 1021, 290, 12974, 257, 1588, 45808, 319, 607, 10359, 764, 993, 837, 264, 5799, 837, 616, 4957, 764, 292, 14622, 355, 1683, 345, 389, 764, 258, 11687, 866, 290, 3332, 837, 264, 5799, 19036, 683, 257, 9396, 913, 286, 6099, 290, 339, 29738, 340, 379, 1752, 837, 355, 339, 24070, 673, 27846, 510, 379, 479, 967, 2150, 282, 290, 6268, 276, 326, 339, 373, 635, 284, 1650, 764, 12518, 339, 550, 1760, 523, 837, 673, 5901, 257, 9396, 290, 10158, 340, 284, 683, 764, 74, 967, 2150, 282, 18484, 379, 607, 837, 339, 714, 407, 1975, 326, 673, 373, 407, 556, 77, 7697, 837, 262, 21772, 508, 550, 8672, 683, 287, 262, 2342, 12, 36170, 764, 7091, 12408, 262, 976, 2042, 19750, 434, 290, 607, 1986, 373, 355, 7272, 30267, 351, 36432, 764, 4360, 25655, 292, 2951, 547, 1180, 837, 484, 750, 407, 9009, 293, 393, 9280, 1058, 484, 547, 1241, 290, 9480, 837, 339, 1718, 262, 9396, 290, 24070, 764, 82, 5799, 4624, 262, 45808, 319, 262, 3084, 287, 2166, 286, 11354, 75, 2150, 290, 3332, 319, 262, 4314, 379, 479, 967, 2150, 282, 705, 82, 3625, 764, 19052, 11354, 75, 2150, 714, 3151, 262, 45808, 837, 262, 1468, 1621, 660, 6051, 550, 28395, 340, 625, 465, 898, 9396, 290, 373, 12591, 340, 757, 764, 74, 967, 2150, 282, 750, 407, 4144, 517, 621, 257, 5422, 913, 837, 1719, 2077, 523, 881, 503, 286, 12537, 329, 264, 5799, 290, 334, 418, 764, 258, 1234, 465, 9396, 319, 262, 3084, 290, 3114, 866, 764, 82, 5799, 373, 16143, 379, 683, 837, 355, 996, 28309, 1710, 683, 764, 533, 345, 407, 556, 77, 7697, 5633, 258, 1965, 351, 257, 1611, 286, 4240, 764, 7091, 34866, 992, 607 ]

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

[ 303, 2727, 1022, 514, 837, 262, 2465, 1312, 705, 303, 4073, 534, 1204, 764, 72, 460, 4259, 1997, 837, 475, 1312, 1275, 299, 470, 4259, 2636, 5145, 4598, 345, 1833, 5633, 258, 705, 297, 1494, 345, 837, 795, 2611, 764, 5832, 705, 297, 886, 510, 655, 588, 534, 18410, 837, 290, 1312, 1275, 299, 470, 2222, 345, 736, 5145, 10148, 15506, 466, 299, 470, 345, 16498, 2222, 607, 656, 428, 5145, 10148, 15506, 2279, 1312, 705, 303, 531, 318, 262, 3872, 764, 72, 760, 345, 460, 1254, 340, 764, 72, 423, 13100, 351, 1854, 837, 795, 2611, 837, 588, 308, 397, 2596, 764, 4360, 1521, 1275, 299, 470, 484, 3285, 502, 618, 345, 460, 5633, 14925, 546, 340, 5145, 1169, 6314, 750, 299, 470, 2251, 674, 4637, 393, 616, 1842, 329, 345, 764, 273, 616, 474, 2287, 3481, 764, 5832, 290, 1312, 837, 356, 389, 4001, 284, 307, 1978, 764, 72, 760, 345, 1254, 262, 2834, 837, 1165, 764, 10148, 15506, 279, 372, 296, 1952, 764, 10148, 15506, 326, 691, 2499, 618, 356, 705, 260, 287, 262, 976, 2119, 764, 14150, 299, 470, 345, 2936, 1223, 772, 618, 1312, 705, 76, 1497, 5633, 270, 705, 82, 780, 1312, 1842, 345, 764, 10148, 15506, 703, 16498, 345, 5145, 5832, 1607, 502, 284, 1975, 326, 5633, 8499, 644, 345, 531, 319, 262, 6614, 5633, 10148, 15506, 1312, 531, 883, 1243, 780, 1312, 6939, 703, 4923, 616, 995, 318, 329, 345, 764, 361, 340, 547, 299, 470, 329, 502, 837, 345, 705, 67, 307, 7382, 3338, 826, 783, 764, 392, 428, 3074, 481, 691, 9585, 2346, 764, 5832, 481, 1239, 307, 3338, 351, 502, 764, 72, 481, 1464, 307, 262, 5770, 286, 1918, 290, 1175, 764, 4360, 1312, 466, 299, 470, 765, 345, 284, 2666, 502, 837, 795, 764, 72, 466, 299, 470, 765, 345, 284, 4656, 764, 10148, 72, 2227, 284, 1975, 683, 764, 70, 12978, 837, 1312, 750, 764, 4360, 4028, 1464, 2740, 27089, 621, 2456, 764, 14363, 4028, 1297, 502, 339, 714, 299, 470, 307, 13467, 764, 392, 465, 2456, 547, 1165, 2818, 284, 2453, 355, 262, 3872, 2162, 484, 547, 3446, 644, 1312, 2227, 284, 3285, 764, 15506, 2270, 262, 6314, 837, 795, 2611, 764, 16706, 262, 2456, 837, 290, 886, 340, 826, 783, 764, 5787, 3511, 837, 10148, 284, 3020, 292, 78, 7121, 764, 15506, 1312, 466, 299, 470, 760, 644, 284, 466, 764, 72, 1275, 299, 470, 892, 764, 10148, 72, 13176, 262, 5389, 286, 616, 1182, 2162, 262, 10839, 12611, 515, 32258, 2641, 616, 14511, 764, 15506, 750, 339, 1560, 345, 703, 339, 2923, 686, 11400, 290, 1242, 1434, 5633, 20839, 339, 5633, 10148, 15506, 3516, 837, 644, 705, 82, 339, 3375, 546, 5633, 10148, 83, 2002, 292, 78, 290, 3516, 2067, 14788, 379, 262, 976, 640, 837, 290, 351, 262, 10839, 837, 1312, 714, 691, 4929, 790, 584, 1573, 837, 475, 340, 373, 1576, 329, 502, 284, 3285, 326, 3516, 550, 27303, 306, 10945, 606, 764, 15506, 3516, 5633, 271, 340, 2081, 5633, 5832, 2923, 326, 6029, 1468, 3155, 5633, 1820, 18410, 705, 82, 6621, 290, 607, 5229, 5633, 10148, 8505, 837, 475, 2644, 764, 72, 714, 299, 470, 787, 503, 644, 2456, 1625, 1306, 837, 475, 1312, 2982, 477, 1312, 2622, 764, 72, 32170, 1740, 616, 27081, 764, 15506, 2245, 5145, 1820, 1182, 5145, 11338, 5145, 10148, 1169, 10839, 547, 588, 48924, 5355, 287, 616, 11368, 837, 32249, 503, 2279, 2073, 764, 273, 3863, 340, 373, 262, 2128, 286, 616, 2612, 25407, 287, 734, 764, 1169, 9546, 837, 7559, 38387, 34518, 6, 282, 300, 84, 6, 388, 837, 256, 2178, 268, 479, 6, 72, 259, 837, 10148, 6451, 29742, 422, 616, 11914, 257, 1218, 640, 837, 616, 2000, 6095, 6654, 422, 262, 7619, 29277, 7838, 764, 8524, 612, 373, 9550, 764, 34751, 837, 6029, 9550, 764, 8162, 1312, 1067, 11137, 284, 262, 2323, 837, 39228, 764, 83, 2002, 292, 78, 705, 82, 5101, 12908, 1088, 616, 16139, 290, 5954, 502, 1497, 422, 262, 5743, 286, 262, 5933, 764, 15506, 1282, 319, 837, 1309, 705, 82, 651, 345, 503, 286, 994, 764, 10148, 43533, 764, 10919, 550, 1312, 655, 1760, 5633, 25991, 1312, 750, 299, 470, 3774, 3516, 764, 259, 1109, 837, 1312, 2936, 31464, 10416, 290, 300, 1699, 764, 4360, 612, 373, 645, 835, 287, 5968, 1312, 705, 67, 4654, 1074, 629, 397, 764, 1640, 12, 1136, 12, 270, 764, 72, 991, 4762, 484, 705, 67, 2923, 616, 18410, 764, 15506, 645, 837, 4043, 764, 10148, 72, 5954, 616, 3211, 1497, 422, 284, 3020, 292, 78, 764, 15506, 1312, 705, 76, 407, 1016, 351, 345, 764, 10148, 2016, 465, 1986, 373, 40157, 416, 262, 1755, 837, 1312, 714, 766, 339, 3114, 4173, 378, 764, 15506, 795, 2611, 837, 345, 705, 260, 2406, 351, 502, 764, 4598, 299, 470, 787, 428, 1327, 764, 10148, 83, 2002, 292, 78, 4251, 329, 502, 355, 1312, 2900, 3812, 262, 5933, 764, 72, 373, 19487, 625, 262, 5743, 286, 262, 269, 268, 1258, 618, 1223, 458, 17758, 502, 503, 286, 7888, 1633, 764, 72, 1043, 3589, 6451, 11191, 416, 7150, 837, 2207, 839, 416, 734, 3223, 5101, 764, 1169, 8508, 925, 502, 32261, 11101, 764, 624, 764, 48797, 629, 397, 764, 15506, 2650, 607, 837, 10148, 531, 257, 2769, 837, 5385, 3809, 764, 1169, 629, 397, 45111, 502, 284, 262, 2323, 290, 23717, 826, 878, 616, 2951, 764, 72, 11101, 4978, 257, 48112, 286, 2042, 3476, 273, 501, 355, 257, 39579, 9082, 9349, 422, 262, 7150, 764, 15506, 795, 2611, 837, 340, 705, 82, 523, 3621, 284, 1826, 345, 287, 1048, 837, 3584, 837, 1312, 705, 303, 1107, 8359, 674, 10625, 1978, 764, 10148, 72, 714, 8523, 766, 465, 1986, 837, 475, 326, 636, 286, 616, 3632, 837, 543, 46553, 18388, 82, 477, 1243, 284, 307, 1918, 306, 7787, 286, 837, 8018, 340, 764, 1616, 705, 82, 766, 2644, 31420, 837, 739, 46591, 9015, 837, 14284, 503, 286, 13016, 379, 1755, 981, 37625, 284, 7954, 1450, 3706, 8938, 385, 837, 3223, 435, 21325, 837, 30318, 516, 26042, 837, 13251, 661, 351, 6541, 12, 44860, 837, 326, 705, 82, 502, 12, 392, 3516, 705, 82, 3956, 1058, 262, 26592, 837, 3206, 30135, 422, 616 ]

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

[ 24948, 4652, 362, 13, 44323, 13, 2293, 1115, 812, 379, 262, 360, 9116, 82, 325, 335, 24263, 18030, 357, 16088, 532, 4793, 828, 339, 4983, 355, 8796, 3985, 286, 4842, 5274, 287, 262, 370, 32470, 287, 4793, 290, 4343, 13, 554, 3648, 11, 7383, 373, 13722, 284, 1182, 3985, 290, 2276, 4706, 286, 262, 5274, 4009, 13, 679, 16542, 287, 2693, 3050, 13, 198, 198, 818, 3269, 2813, 11, 339, 2627, 1182, 3985, 286, 262, 402, 494, 39683, 268, 6337, 364, 287, 262, 2679, 25911, 44323, 13, 554, 2795, 2813, 11, 339, 1364, 402, 494, 39683, 268, 329, 5891, 44323, 1735, 34726, 283, 371, 444, 268, 24177, 86, 9235, 7423, 11, 810, 339, 4983, 355, 281, 8796, 3985, 11, 878, 852, 13722, 284, 262, 1182, 13101, 2292, 287, 3426, 2813, 13, 679, 373, 22598, 286, 465, 10741, 287, 3269, 2211, 13, 198, 198, 818, 3945, 1946, 11, 7383, 373, 9657, 355, 281, 8796, 3985, 416, 262, 14493, 3825, 286, 262, 370, 32470, 11, 475, 4504, 284, 4486, 329, 262, 1946, 12, 1314, 1622, 284, 1011, 625, 262, 1182, 13101, 1693, 379, 1041, 33, 16313, 10483, 372, 347, 11715, 33, 11033, 918, 13, 2293, 530, 614, 379, 262, 18030, 11, 339, 373, 9899, 8796, 3985, 286, 262, 402, 494, 39683, 268, 6337, 364, 287, 1853, 13, 554, 1022, 262, 7028, 287, 4486, 11, 339, 4983, 281, 8796, 3985, 286, 262, 10278, 41951, 286, 262, 6926, 338, 2351, 25911, 5396, 357, 29767, 4339, 8, 287, 1584, 290, 2177, 13, 198, 198, 818, 1737, 2864, 11, 7383, 373, 3706, 8796, 3985, 286, 2679, 44323, 3430, 311, 13, 30098, 1428, 370, 25151, 89, 7423, 13, 198, 198, 19927, 220, 198, 198, 42246, 27244, 198, 36376, 661, 198, 7437, 1033, 26646, 378, 9669, 661, 287, 17322, 198, 7437, 1033, 26646, 378, 9669, 661, 287, 4486, 198, 7437, 1450, 338, 9669, 1938, 198, 7437, 1466, 338, 9669, 11070, 198, 33, 14575, 406, 9101, 21006, 9718, 13271, 354, 732, 328, 1938, 198, 31710, 2059, 3813, 8910, 1450, 338, 9669, 1938, 198, 25705, 5274, 11070, 198, 13313, 13554, 3825, 11070, 198, 6187, 34765, 10323, 9101, 358, 24263, 1938, 198, 38, 494, 39683, 268, 6337, 364, 11070, 198, 42, 75, 6197, 710, 549, 3686, 360, 31469, 1938, 198, 9921, 72, 4696, 260, 1071, 1938, 198, 49, 444, 268, 24177, 86, 9235, 7423, 1938, 198, 15017, 5264, 449, 36846, 1938, 198, 38475, 9718, 13271, 354, 732, 328, 1938, 198, 51, 34984, 309, 9116, 4623, 268, 1938, 198, 55, 295, 360, 31469, 14770, 6197, 710, 549, 3686, 1938, 28711, 28648, 1355, 282, 357, 17543, 1478, 11, 40417, 11, 2297, 4447, 11, 3442, 532, 2901, 3261, 11, 10249, 11, 2986, 9500, 8, 373, 281, 1605, 21274, 43923, 396, 13, 198, 198, 33, 2287, 2826, 27449, 287, 262, 5401, 5652, 1989, 878, 9679, 11732, 367, 578, 338, 4097, 287, 15533, 13, 679, 3888, 284, 4842, 287, 32471, 11, 2712, 12199, 379, 262, 5675, 3813, 16740, 287, 3090, 284, 1762, 351, 21647, 367, 1127, 11, 21298, 11740, 882, 11, 5395, 44871, 1400, 505, 11, 412, 3808, 74, 500, 31376, 11, 290, 48535, 449, 897, 261, 13, 3574, 26539, 284, 29300, 1355, 282, 11791, 5593, 21166, 11, 8296, 351, 683, 20823, 13, 2293, 4305, 21166, 11, 1355, 282, 3111, 351, 20833, 311, 747, 293, 11, 788, 3888, 284, 968, 1971, 2254, 2739, 287, 29300, 13, 1318, 339, 750, 12199, 15384, 3976, 290, 2826, 351, 21462, 8299, 5362, 11, 34452, 20330, 11, 290, 19478, 2520, 11, 878, 823, 27123, 284, 3340, 329, 257, 640, 13, 2293, 8024, 284, 262, 471, 13, 50, 13, 339, 4983, 287, 262, 5407, 1141, 2159, 1810, 2873, 11, 290, 2402, 465, 17655, 1718, 510, 27308, 287, 5401, 5652, 757, 13, 1318, 339, 2826, 12199, 379, 262, 449, 420, 25634, 10096, 11, 475, 1043, 465, 835, 736, 656, 21166, 338, 34549, 287, 22717, 13, 3574, 21794, 284, 25190, 339, 3111, 287, 2031, 11, 290, 2402, 465, 1441, 3377, 1115, 812, 287, 262, 2156, 19886, 379, 2295, 1213, 287, 968, 1971, 2254, 13, 11450, 287, 465, 1204, 339, 4504, 284, 8372, 3442, 11, 2712, 379, 262, 24746, 21108, 6289, 287, 18358, 18334, 11, 3442, 13, 198, 198, 19927, 198, 36, 1018, 1734, 19800, 12544, 11, 685, 11526, 1355, 282, 60, 379, 1439, 28965, 198, 33, 6532, 49132, 16265, 11, 366, 37136, 1355, 282, 1911, 24144, 21406, 2691, 13, 198, 198, 1129, 2919, 27244, 198, 24529, 7040, 198, 7437, 21274, 43923, 1023, 198, 7437, 4257, 43923, 1023, 198, 41, 8101, 17245, 422, 3442, 198, 1238, 400, 12, 14792, 1605, 43923, 1023, 198, 1238, 400, 12, 14792, 1605, 4257, 17245, 198, 7437, 4257, 21274, 17245, 1212, 318, 257, 1351, 286, 262, 19033, 286, 262, 2066, 286, 2807, 13, 198, 198, 464, 2066, 286, 2807, 6856, 8774, 1044, 2807, 878, 24977, 13, 554, 262, 2121, 286, 24977, 11, 262, 371, 4503, 1230, 35622, 284, 14119, 290, 7346, 14807, 355, 257, 1255, 286, 262, 27011, 286, 262, 22779, 416, 262, 3999, 14884, 3615, 290, 16636, 286, 262, 4380, 338, 2066, 286, 2807, 13, 4619, 24977, 11, 262, 2066, 286, 2807, 11, 783, 8811, 1900, 355, 366, 47976, 8149, 1600, 468, 691, 6856, 14119, 290, 6716, 14807, 13, 28526, 1099, 4444, 287, 14119, 287, 262, 7169, 82, 290, 1277, 7024, 547, 5495, 287, 8235, 13, 198, 198, 464, 1743, 1438, 286, 262, 2607, 287, 3999, 468, 3421, 1811, 1661, 13, 198, 198, 8053, 220, 198, 2964, 10178, 282, 5070, 25, 220, 198, 198, 3856, 7745, 648, 5070, 25, 220, 198, 198, 16186, 396, 284, 26740, 5070, 25, 198, 198, 14967, 4470, 198, 198, 10364, 498, 2479, 12, 5363, 1366, 357, 7353, 12, 1129, 2857, 7965, 8, 198, 198, 19620, 395, 2877, 220, 198, 13719, 2420, 290, 281, 18503, 1984, 1317, 262, 23166, 3128, 286, 257, 1893, 4697, 621, 597, 2877, 409, 12, 22540, 13, 3819, 9667, 389, 262, 7040, 286, 262, 788, 12, 727, 395, 1893, 13, 198, 198, 37065, 605, 30458, 15264, 198, 198, 29352, 198, 198, 6214, 635, 220, 628, 7343, 286, 19033, 286, 262, 2066, 286, 2807, 416, 584, 9730, 2714, 198, 7343, 286, 7927, 19033, 286, 262, 2066, 286, 2807, 198, 7343, 286, 4199, 3183, 286, 262, 2066, 286, 2807, 198, 1992, 286, 262, 30356, 34071, 198, 7343 ]

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

[ 2003, 2162, 475, 1312, 466, 407, 1265, 345, 284, 16614, 764, 40716, 345, 837, 531, 479, 273, 837, 290, 3214, 10574, 764, 259, 5486, 284, 607, 837, 1582, 312, 17725, 2511, 12931, 9480, 837, 1545, 26061, 837, 20242, 837, 290, 16336, 2162, 475, 339, 750, 407, 22118, 597, 13114, 12213, 351, 607, 764, 521, 2308, 837, 339, 2048, 3947, 284, 307, 572, 287, 257, 995, 286, 465, 898, 764, 5661, 373, 257, 1049, 8259, 284, 607, 764, 7091, 373, 9086, 20947, 837, 656, 867, 10839, 764, 505, 3809, 2227, 607, 284, 1560, 683, 607, 1621, 2162, 612, 389, 1661, 618, 340, 318, 4577, 284, 1561, 284, 257, 16195, 621, 284, 257, 1545, 764, 847, 10839, 2227, 607, 284, 307, 10574, 764, 505, 286, 883, 10839, 2227, 607, 284, 307, 10574, 780, 340, 2936, 326, 340, 561, 307, 517, 10092, 284, 466, 326, 837, 290, 326, 1582, 312, 17725, 561, 1254, 517, 7926, 329, 607, 326, 835, 764, 24219, 1194, 3809, 373, 11472, 379, 262, 279, 3087, 1272, 286, 257, 3809, 326, 561, 765, 284, 1394, 10574, 329, 884, 257, 1738, 764, 25907, 1194, 636, 373, 29793, 276, 326, 673, 373, 9086, 656, 517, 621, 530, 3809, 764, 25907, 1194, 3809, 373, 33720, 326, 673, 373, 9086, 656, 523, 867, 764, 29214, 3809, 2227, 607, 284, 5911, 351, 26204, 636, 286, 607, 2936, 262, 1551, 2356, 546, 262, 3074, 837, 290, 6871, 262, 1854, 764, 24219, 1194, 3809, 531, 837, 703, 14397, 5145, 5832, 18548, 1630, 262, 1429, 588, 326, 5145, 1169, 3809, 326, 550, 587, 33720, 416, 607, 15082, 8467, 4987, 2162, 340, 550, 34391, 257, 4583, 284, 262, 1245, 326, 618, 607, 2000, 9086, 287, 428, 835, 837, 607, 10510, 561, 467, 422, 530, 3809, 284, 1194, 837, 588, 281, 32521, 31847, 4585, 319, 11636, 379, 257, 3249, 2162, 673, 714, 407, 3896, 597, 286, 606, 503, 764, 8524, 673, 1807, 286, 1976, 283, 764, 270, 373, 588, 852, 7425, 416, 257, 15554, 764, 7091, 2936, 262, 1336, 1108, 286, 607, 9846, 286, 1976, 283, 2162, 703, 1969, 673, 550, 587, 284, 37493, 351, 12157, 618, 1976, 283, 373, 4642, 764, 8524, 837, 673, 2936, 262, 8889, 286, 1976, 283, 2162, 340, 373, 588, 257, 3236, 7604, 287, 607, 837, 355, 996, 607, 31875, 550, 587, 19551, 503, 764, 7091, 2497, 1194, 6626, 287, 5223, 1656, 1058, 530, 3809, 2227, 284, 1011, 5473, 287, 607, 3772, 9846, 837, 475, 1194, 3809, 2227, 284, 307, 12653, 837, 2158, 12132, 326, 1244, 307, 764, 8524, 257, 2368, 3809, 5158, 510, 837, 2282, 326, 1111, 286, 777, 8136, 547, 43994, 764, 11246, 517, 2116, 12, 38050, 636, 286, 607, 1965, 837, 716, 1312, 2147, 517, 621, 257, 4947, 286, 10839, 5633, 271, 612, 645, 1103, 502, 5633, 8524, 1865, 1194, 3809, 22928, 510, 837, 2282, 326, 673, 815, 307, 22461, 329, 7163, 607, 17865, 284, 318, 4797, 290, 331, 67, 2442, 837, 290, 326, 673, 373, 852, 14397, 284, 1607, 257, 22215, 284, 307, 588, 257, 22122, 1545, 764, 1169, 1334, 286, 607, 627, 6255, 837, 329, 484, 2993, 326, 281, 17865, 373, 281, 17865, 837, 475, 19032, 484, 30859, 428, 530, 503, 837, 3501, 655, 6637, 329, 607, 4562, 17587, 764, 392, 788, 837, 355, 611, 6067, 547, 407, 2089, 1576, 837, 257, 3809, 21172, 543, 2227, 284, 3520, 1474, 262, 12505, 837, 287, 1502, 284, 2989, 329, 1976, 283, 2162, 3737, 479, 273, 714, 635, 11078, 257, 20775, 284, 1064, 607, 764, 10919, 257, 7457, 284, 1057, 572, 5145, 41046, 1244, 307, 691, 257, 1178, 7021, 1497, 5145, 5661, 3809, 2952, 2627, 845, 1913, 837, 6464, 1104, 422, 1811, 584, 10839, 764, 74, 273, 5025, 6155, 764, 7091, 2714, 607, 1182, 287, 607, 2832, 290, 29868, 992, 351, 29077, 1166, 764, 1845, 312, 17725, 5025, 837, 475, 531, 2147, 837, 290, 2921, 645, 1051, 286, 28189, 1240, 764, 74, 273, 2936, 4547, 290, 2461, 422, 683, 837, 475, 645, 26246, 764, 25909, 319, 465, 3085, 837, 339, 20840, 262, 6232, 351, 11607, 20136, 764, 19545, 479, 273, 2936, 1194, 7604, 287, 5223, 1058, 262, 530, 326, 550, 587, 2727, 618, 673, 550, 19551, 318, 2403, 945, 4931, 503, 764, 5661, 373, 3446, 262, 3297, 286, 2589, 326, 673, 561, 423, 11829, 351, 416, 4585, 319, 262, 22215, 329, 1037, 837, 475, 673, 714, 407, 1309, 5223, 764, 8505, 837, 869, 319, 607, 5145, 333, 2004, 1811, 286, 607, 8434, 10839, 837, 16521, 5145, 8524, 4123, 329, 1037, 5145, 4360, 262, 17708, 286, 14404, 290, 11293, 561, 407, 1249, 428, 764, 9930, 635, 2048, 14131, 287, 27563, 1359, 257, 3809, 326, 16896, 837, 389, 345, 1016, 284, 1309, 534, 5370, 546, 4917, 1976, 283, 307, 925, 319, 262, 4308, 286, 534, 11293, 837, 290, 534, 8993, 379, 331, 67, 2442, 290, 318, 4797, 5633, 74, 273, 8523, 2982, 428, 3809, 837, 475, 663, 3275, 373, 991, 257, 3665, 530, 837, 12591, 607, 351, 14934, 290, 442, 363, 12769, 764, 7091, 2067, 284, 26540, 2279, 837, 290, 428, 925, 607, 1254, 3190, 595, 17107, 764, 7091, 29923, 13653, 837, 290, 3332, 866, 837, 826, 810, 673, 373, 837, 329, 607, 5387, 4384, 373, 2263, 510, 477, 607, 2000, 837, 290, 612, 373, 4844, 1364, 329, 6155, 764, 1845, 312, 17725, 635, 3332, 837, 1474, 475, 407, 1306, 284, 607, 764, 1169, 555, 34715, 3249, 287, 607, 1182, 2627, 257, 42599, 764, 1169, 11918, 373, 5059, 607, 13251, 764, 49625, 510, 5145, 7091, 22760, 764, 9930, 750, 764, 8524, 673, 357, 393, 373, 340, 655, 257, 11410, 3809, 5633, 1267, 1350, 1030, 284, 16481, 262, 5114, 764, 11085, 837, 673, 7723, 477, 262, 11628, 546, 644, 673, 815, 466, 764, 8524, 673, 1718, 510, 262, 11628, 530, 416, 530, 837, 28267, 262, 5273, 284, 3840, 329, 393, 1028, 326, 1948, 6961, 764, 8524, 673, 845, 7773, 3688, 262, 3840, 329, 290, 1028, 1123, 530, 764, 6738, 477, 428, 257, 649, 3809, 9349, 764, 270, 531, 837, 329, 617, 1738, 837, 262, 11858, 3066, 287, 5963, 326, 1976, 283, 561, 307, 2077, 422, 345, 290, 326, 345, 389, 407, 284, 760, 1521, 764, 21070, 782, 18218, 273, 2241, 1276, 423, 1900, 326, 318, 1521, 339, 373, 523, 6507 ]

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

[ 373, 257, 517, 8904, 14848, 52, 326, 714, 5203, 9098, 2854, 284, 262, 4683, 11026, 11, 3573, 618, 340, 1625, 284, 890, 12, 30246, 2594, 13, 383, 4238, 20855, 4166, 329, 262, 6846, 3721, 373, 5365, 14742, 11, 4585, 329, 257, 5415, 2866, 286, 4101, 43822, 357, 18781, 10571, 14, 71, 828, 20309, 13975, 284, 11811, 17228, 5842, 11, 262, 2694, 284, 3155, 14, 1818, 287, 3294, 351, 4683, 17228, 5842, 11, 15570, 832, 12, 15526, 329, 10405, 11, 3895, 3833, 34834, 11, 262, 2694, 284, 3342, 257, 4054, 4326, 11, 290, 284, 28889, 2035, 257, 1115, 393, 1440, 12, 7718, 3473, 13, 770, 20855, 2957, 284, 262, 11992, 3517, 12950, 5016, 20064, 14848, 52, 13, 2102, 11, 340, 373, 1043, 326, 5365, 5789, 5112, 373, 2622, 329, 262, 2854, 7368, 11, 3573, 284, 2148, 6751, 2866, 11, 20309, 11, 290, 832, 12, 6603, 6540, 1895, 26, 5529, 1799, 635, 6989, 2233, 284, 2272, 11247, 13, 632, 373, 20915, 326, 257, 3227, 2746, 16030, 422, 9157, 6805, 561, 8588, 3744, 17843, 290, 2793, 9262, 3484, 26, 281, 11500, 2494, 286, 7600, 1411, 373, 11092, 13, 198, 198, 3886, 13540, 11, 6461, 351, 262, 5016, 20064, 550, 12824, 11177, 33596, 284, 7075, 13834, 870, 257, 649, 5270, 286, 14848, 5842, 11, 475, 284, 635, 11206, 257, 649, 20855, 326, 547, 6454, 1342, 11334, 621, 878, 13, 22426, 11, 340, 373, 3066, 284, 4268, 262, 1353, 2866, 422, 4101, 43822, 284, 5441, 43822, 11, 355, 4856, 550, 4602, 262, 2440, 2494, 284, 5203, 645, 36974, 21911, 9025, 287, 7002, 1661, 2233, 284, 262, 6032, 1790, 31050, 286, 262, 8985, 262, 2099, 373, 5292, 284, 4691, 13, 11399, 11, 340, 373, 5295, 326, 257, 38873, 1080, 13630, 767, 27673, 583, 5680, 710, 561, 5203, 6751, 20309, 13, 383, 7007, 329, 17764, 351, 584, 10708, 4283, 547, 15254, 11, 3584, 8295, 12, 66, 280, 11347, 290, 8295, 12, 8443, 278, 11244, 373, 2087, 13, 554, 3090, 284, 257, 922, 6594, 3081, 11, 262, 20855, 3017, 257, 2128, 1241, 286, 4101, 30221, 618, 379, 1336, 2866, 11, 281, 13919, 2837, 286, 352, 11, 830, 4608, 11, 290, 281, 16654, 1022, 1688, 18708, 82, 286, 1936, 812, 393, 13803, 11, 830, 4608, 13, 2893, 262, 3161, 5270, 286, 14848, 5842, 6032, 973, 257, 5166, 286, 11874, 329, 1123, 1176, 1097, 11, 262, 20855, 1444, 329, 691, 257, 2060, 3113, 583, 1097, 11, 355, 880, 355, 329, 6751, 15134, 523, 326, 11, 772, 351, 530, 4054, 3113, 11, 257, 734, 12, 7718, 4326, 714, 5529, 257, 7226, 2139, 2854, 1231, 1688, 40043, 13, 632, 373, 635, 5292, 326, 262, 14848, 52, 714, 307, 16030, 22107, 284, 2615, 7021, 11, 27918, 1022, 734, 290, 1440, 5006, 326, 714, 307, 503, 38631, 351, 2972, 11849, 35468, 884, 355, 32711, 290, 31488, 9029, 13, 220, 198, 198, 40443, 8766, 1417, 355, 257, 1597, 20855, 11, 777, 5359, 547, 11172, 656, 257, 5365, 3154, 6276, 20855, 326, 13941, 597, 23514, 584, 621, 883, 326, 547, 10762, 6393, 329, 17764, 4959, 13, 1318, 8499, 11, 340, 373, 4884, 284, 2972, 10708, 4283, 11372, 329, 257, 7606, 15403, 13, 4698, 428, 1429, 11, 14409, 11372, 8948, 27837, 284, 5678, 281, 4238, 2168, 286, 1115, 12, 7718, 13646, 4991, 13, 317, 31070, 40021, 286, 691, 1248, 1933, 1022, 262, 3128, 286, 1502, 284, 7585, 286, 777, 32338, 373, 635, 7368, 26, 428, 468, 587, 14183, 355, 1719, 20232, 11372, 284, 10904, 3371, 4683, 7593, 6593, 329, 511, 22129, 13, 383, 8406, 8948, 416, 3517, 12950, 14044, 15302, 357, 33, 16448, 8, 373, 7272, 1912, 319, 663, 4388, 5016, 46839, 17228, 52, 11, 7373, 663, 1767, 290, 262, 3741, 286, 663, 2491, 7733, 11, 18244, 10911, 351, 734, 1180, 1176, 13404, 13, 383, 20515, 8705, 1664, 12477, 12, 34, 6475, 695, 635, 8406, 11, 4438, 663, 898, 1486, 326, 9322, 40112, 28734, 40412, 5103, 26, 428, 3164, 4635, 257, 11570, 3463, 7741, 625, 10224, 5050, 13, 11177, 2828, 18524, 284, 5120, 351, 257, 5166, 286, 32338, 422, 1111, 347, 16448, 290, 12477, 12, 34, 6475, 695, 11, 7186, 287, 262, 5016, 6640, 290, 5016, 25326, 8148, 13, 198, 198, 25262, 12844, 290, 12863, 11, 777, 14879, 4991, 547, 6793, 284, 11177, 290, 32400, 511, 4473, 2139, 2278, 13, 5747, 262, 5016, 6640, 290, 25326, 4991, 547, 2426, 284, 7667, 34109, 351, 262, 4031, 286, 257, 4025, 3227, 1502, 852, 21220, 329, 262, 517, 4388, 286, 262, 734, 3858, 13, 23983, 4602, 326, 262, 5016, 6640, 550, 6631, 6594, 3081, 11, 355, 880, 355, 3938, 19201, 262, 2026, 1411, 3113, 12, 448, 2854, 5359, 13, 632, 373, 635, 5295, 326, 1111, 3858, 8793, 12872, 7838, 28780, 318, 257, 4793, 41792, 9961, 5337, 416, 1605, 1772, 7970, 2677, 13, 383, 1621, 5679, 257, 968, 4492, 6802, 9648, 284, 15398, 578, 351, 465, 1862, 3367, 706, 257, 11428, 6737, 7025, 625, 262, 3298, 2685, 3072, 3127, 4962, 262, 3741, 286, 465, 5891, 5384, 656, 46560, 17686, 4695, 13, 198, 198, 43328, 198, 2601, 323, 1122, 371, 1638, 695, 11, 257, 9648, 6802, 422, 15080, 11, 468, 655, 11406, 257, 13028, 5337, 1730, 287, 6182, 618, 366, 464, 25062, 1600, 257, 6737, 1908, 503, 625, 262, 3298, 2685, 3072, 3127, 11, 6451, 4962, 790, 2685, 3072, 2836, 656, 46560, 15956, 12, 2339, 25542, 13, 15551, 318, 5055, 287, 6182, 8070, 618, 262, 25062, 7127, 11, 6666, 11918, 284, 17866, 1088, 683, 13, 31755, 1067, 25329, 355, 262, 366, 746, 261, 364, 1, 1368, 1123, 584, 290, 2687, 287, 1570, 13, 198, 198, 43541, 301, 262, 11918, 11, 15551, 318, 8754, 1978, 351, 3504, 12, 1886, 5658, 5108, 15666, 290, 15287, 14862, 28276, 26, 262, 19886, 32695, 284, 4186, 338, 20154, 1363, 355, 6182, 20246, 13, 383, 1306, 1110, 11, 484, 2193, 262, 366, 746, 261, 364, 1, 423, 9258, 329, 3039, 329, 2057, 290, 4097, 278, 1978, 13, 15551, 318, 991, 5295, 284, 1441, 284, 15080, 290, 15398, 578, 351, 465, 1862, 3367, 11, 15470, 13, 11136, 645, 1365, 14693, 11, 4186, 290, 14862, 1282, 351, 683, 13, 1119, 30784, 5093, 416, 1755, 1973, 257, 25074, 968, 4492, 11, 1719, 42738, 16925, 351, 584, 13644, 290, 16508, 14851, 20269, 546, 262, 4568, 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 ]

[ 756, 5490, 837, 1553, 13, 3623, 2971, 86, 6081, 764, 5832, 260, 45464, 764, 732, 547, 655, 355, 6655, 355, 345, 618, 340, 3022, 837, 475, 1312, 4724, 663, 3338, 284, 910, 356, 477, 1975, 287, 32904, 783, 764, 4546, 26741, 837, 27074, 607, 3211, 1088, 607, 5229, 764, 568, 1560, 502, 764, 13, 13, 29688, 764, 13, 13, 4919, 290, 618, 750, 428, 1645, 5633, 7109, 13, 3623, 2971, 86, 6081, 7893, 764, 4053, 837, 340, 3022, 938, 1755, 764, 732, 550, 9272, 1088, 6072, 84, 1424, 3996, 290, 7042, 257, 11443, 9197, 764, 8117, 547, 523, 867, 1243, 356, 2227, 284, 910, 568, 867, 1243, 356, 2227, 284, 12472, 546, 878, 356, 14274, 46288, 262, 8217, 764, 4546, 26741, 981, 5149, 607, 13105, 2196, 286, 938, 12513, 2995, 764, 361, 345, 10014, 837, 612, 373, 257, 17166, 6388, 938, 1755, 764, 259, 262, 3504, 286, 674, 11443, 837, 262, 7588, 550, 3750, 503, 618, 262, 14357, 14997, 866, 319, 674, 3119, 764, 20777, 612, 547, 991, 32268, 4955, 514, 1657, 837, 356, 3767, 351, 674, 2456, 764, 4546, 29959, 607, 1182, 764, 1169, 1306, 1517, 1312, 3505, 837, 262, 7588, 1625, 736, 319, 764, 13, 13, 8524, 356, 6939, 6072, 84, 1424, 2951, 547, 1280, 764, 270, 373, 24479, 764, 732, 547, 2282, 674, 922, 1525, 274, 837, 475, 339, 373, 429, 3492, 284, 2666, 514, 655, 1865, 764, 7091, 6437, 82, 279, 1686, 3211, 764, 258, 1276, 423, 587, 287, 530, 286, 883, 2769, 401, 292, 220, 425, 1100, 523, 881, 546, 764, 732, 2497, 2691, 663, 517, 2219, 621, 661, 6537, 764, 28998, 618, 262, 14357, 7425, 837, 340, 7599, 4391, 12, 46981, 465, 3632, 764, 2339, 257, 1097, 6555, 764, 4546, 82, 1621, 5238, 2407, 17101, 764, 8524, 757, 837, 484, 3221, 466, 764, 7109, 13, 3623, 2971, 86, 6081, 29959, 465, 1182, 287, 2035, 29894, 393, 4240, 434, 25344, 691, 4206, 543, 764, 4053, 428, 318, 25023, 1705, 764, 72, 714, 429, 307, 23030, 764, 72, 561, 7048, 345, 297, 765, 284, 466, 257, 670, 12, 929, 286, 5254, 284, 766, 810, 356, 467, 422, 994, 764, 88, 2778, 4750, 878, 546, 3599, 4607, 78, 290, 11881, 1752, 10818, 7387, 837, 523, 29445, 588, 284, 760, 611, 5968, 761, 284, 2652, 994, 393, 1282, 736, 329, 13820, 764, 425, 1239, 1775, 2130, 804, 523, 3772, 546, 262, 5885, 286, 4607, 78, 764, 1219, 837, 3763, 837, 45714, 5799, 764, 42994, 764, 732, 460, 651, 2067, 319, 5254, 3393, 764, 4360, 340, 481, 307, 510, 284, 1553, 13, 468, 4411, 355, 284, 1771, 393, 407, 339, 460, 467, 1363, 764, 5289, 651, 2067, 319, 262, 5254, 837, 290, 788, 2801, 651, 257, 1745, 286, 683, 981, 356, 4043, 329, 262, 2482, 764, 4919, 857, 326, 2128, 5633, 258, 21845, 837, 12560, 530, 1021, 319, 16379, 3211, 290, 530, 319, 279, 1686, 764, 82, 3733, 1049, 837, 2205, 764, 40716, 345, 764, 482, 323, 837, 6072, 2731, 764, 5289, 651, 345, 284, 2511, 12371, 764, 14108, 1641, 460, 787, 2405, 6792, 287, 262, 4953, 1989, 837, 290, 788, 880, 2222, 345, 736, 510, 355, 2582, 355, 345, 260, 5201, 764, 2899, 5799, 837, 611, 345, 67, 588, 284, 651, 683, 10667, 287, 757, 837, 326, 561, 307, 749, 7613, 764, 258, 25530, 3371, 257, 15849, 290, 673, 41652, 306, 20070, 625, 257, 27181, 764, 1662, 257, 1917, 837, 6253, 764, 4053, 307, 477, 900, 618, 345, 734, 1441, 764, 4546, 36544, 20461, 319, 262, 19353, 764, 7109, 13, 3623, 2971, 86, 6081, 5419, 683, 656, 262, 27181, 290, 484, 10921, 832, 262, 20932, 8215, 764, 1169, 1306, 1115, 2250, 6715, 319, 588, 1528, 764, 46708, 813, 837, 356, 1123, 3181, 257, 1492, 764, 292, 881, 355, 340, 12847, 502, 837, 356, 1650, 287, 262, 4953, 2119, 14928, 262, 530, 7243, 1312, 765, 284, 2112, 517, 621, 1997, 764, 4360, 663, 407, 262, 3297, 286, 5273, 345, 765, 2130, 284, 34789, 283, 764, 568, 356, 1100, 287, 18116, 9550, 764, 292, 1312, 40665, 1949, 284, 1100, 837, 262, 2128, 286, 2130, 17304, 511, 13589, 14293, 616, 3241, 287, 262, 6697, 4571, 764, 11274, 3329, 837, 2051, 442, 24617, 764, 1169, 22665, 837, 16755, 19177, 1414, 710, 45204, 502, 764, 88, 323, 5145, 64, 13853, 286, 10974, 10902, 832, 616, 32375, 764, 72, 4391, 510, 422, 262, 5118, 837, 21500, 625, 281, 9812, 279, 8426, 5509, 287, 262, 3504, 286, 262, 4314, 764, 72, 11691, 16418, 1239, 4724, 545, 6568, 284, 766, 683, 764, 320, 884, 257, 288, 967, 764, 4360, 508, 16609, 5633, 72, 6330, 262, 4618, 284, 663, 5055, 2292, 878, 27074, 616, 5101, 1088, 465, 7331, 837, 3154, 5739, 764, 20342, 837, 16195, 764, 320, 523, 3772, 345, 1625, 764, 5832, 466, 588, 6452, 502, 837, 17666, 345, 5633, 8524, 1312, 41014, 465, 3211, 474, 48343, 764, 72, 655, 1842, 4379, 262, 8212, 340, 7584, 319, 534, 4950, 1986, 764, 4480, 465, 6376, 7660, 837, 339, 9040, 616, 22531, 510, 837, 5086, 683, 1365, 1895, 284, 616, 11914, 764, 14363, 5422, 318, 523, 2705, 290, 21802, 1820, 1182, 37621, 764, 72, 760, 663, 691, 587, 734, 1528, 837, 475, 340, 5300, 588, 281, 28989, 1201, 220, 425, 5924, 262, 2000, 12, 77, 28149, 837, 256, 278, 1359, 18098, 465, 3638, 25487, 896, 764, 19052, 356, 423, 257, 2863, 284, 651, 5281, 1497, 837, 339, 16194, 465, 1182, 736, 837, 788, 4356, 444, 465, 1986, 287, 616, 7393, 764, 14363, 5101, 31833, 1088, 502, 837, 2832, 1275, 11697, 616, 736, 764, 270, 561, 307, 523, 2562, 284, 651, 2626, 287, 465, 5101, 837, 475, 1312, 760, 428, 318, 429, 262, 1295, 764, 4758, 1838, 502, 772, 517, 6568, 546, 262, 3436, 640, 339, 8072, 502, 428, 5041, 764, 20839, 345, 2051, 502, 5633, 72, 6040, 3316, 616, 1986, 837, 2045, 379, 683, 588, 10818, 503, 286, 465, 2000, 764, 258, 22051, 764, 1662, 772, 257, 1310, 764, 43669, 837, 6189, 764, 72, 308, 24082, 355, 356, 2513, 284, 302, 22179, 616, 1641, 287, 262, 4953, 1989, 764, 31373, 837, 2506, 764, 72, 3285, 356, 423, 617, 28294, 1705, 284, 10648, 764, 47057, 45204, 683, 351, 257, 37999, 8216, 764, 10197 ]

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

[ 1367, 400, 4289, 13, 198, 198, 464, 17116, 23246, 284, 47561, 24256, 287, 262, 7797, 286, 367, 13, 12415, 22902, 11, 290, 5174, 351, 580, 13, 220, 198, 1026, 373, 11068, 416, 41227, 45045, 11, 33728, 47631, 11, 3059, 349, 89, 11, 290, 8616, 38681, 13, 327, 13, 371, 13, 20653, 2497, 340, 287, 49539, 13, 198, 198, 464, 17116, 373, 2087, 284, 262, 1351, 286, 262, 968, 18318, 36578, 416, 3059, 349, 89, 357, 1558, 5824, 12, 1507, 4309, 737, 198, 198, 14282, 306, 340, 373, 30538, 416, 8699, 64, 290, 9919, 79, 13, 554, 40417, 20653, 2921, 262, 1271, 18523, 284, 340, 13, 198, 198, 1026, 318, 3058, 23707, 379, 262, 19057, 10074, 357, 53, 265, 13, 3310, 13, 2808, 8, 287, 10598, 13, 198, 198, 6214, 635, 220, 628, 7343, 286, 968, 18318, 20208, 13930, 198, 31752, 17116, 198, 8255, 723, 7734, 198, 198, 19927, 198, 198, 13518, 3555, 220, 628, 220, 198, 198, 44059, 968, 18318, 20208, 13930, 198, 1157, 400, 12, 14792, 24726, 36578, 198, 5124, 15817, 82, 286, 262, 19057, 10074, 25628, 13063, 318, 281, 1605, 3074, 10997, 326, 18530, 319, 11133, 422, 3269, 604, 284, 3035, 1105, 11, 8735, 13, 383, 2168, 5788, 5199, 11303, 382, 15516, 355, 262, 4706, 286, 257, 17026, 7585, 2139, 287, 968, 1971, 2254, 13, 198, 198, 49771, 198, 1722, 257, 1862, 582, 287, 262, 9507, 82, 11, 15470, 4643, 4450, 550, 10719, 284, 1716, 257, 3881, 3491, 13, 1675, 5160, 262, 1637, 339, 2622, 284, 2822, 257, 10047, 4271, 6898, 416, 465, 21580, 11, 5395, 72, 14666, 8609, 11, 326, 339, 2497, 287, 257, 3650, 4324, 11, 339, 1718, 257, 1693, 355, 257, 17026, 31228, 329, 1717, 35535, 15062, 8910, 13, 2293, 7067, 262, 10047, 11, 339, 5399, 257, 3881, 4097, 287, 15963, 543, 8359, 617, 1943, 2712, 287, 9784, 13, 1649, 257, 1700, 1664, 4438, 683, 257, 12199, 2775, 287, 16382, 11, 262, 7306, 2569, 15470, 2900, 340, 866, 780, 262, 2775, 750, 407, 2291, 465, 5891, 4097, 1866, 13, 198, 198, 21306, 798, 465, 4320, 286, 852, 257, 3881, 2647, 3491, 11, 15470, 973, 262, 3725, 339, 550, 9477, 355, 257, 17026, 48934, 284, 1280, 465, 898, 17026, 7585, 1664, 287, 13458, 13, 34099, 11198, 13063, 11, 340, 4394, 257, 10484, 7585, 2139, 11, 50156, 7585, 1626, 4153, 2431, 11, 290, 257, 366, 23352, 10484, 1, 2139, 543, 10497, 7585, 1626, 1160, 2431, 13, 15470, 2925, 832, 19649, 290, 21838, 355, 339, 12766, 284, 1057, 262, 1664, 287, 262, 1986, 286, 5449, 422, 262, 3220, 779, 286, 35168, 8217, 290, 262, 4455, 287, 262, 3095, 12, 19891, 82, 11, 355, 880, 355, 422, 465, 1966, 9749, 1717, 35535, 15062, 8910, 11, 783, 1057, 416, 1717, 35535, 290, 465, 4957, 16693, 13, 2399, 1862, 4409, 7558, 7101, 15470, 286, 465, 6825, 2863, 284, 307, 257, 3881, 3491, 287, 262, 8069, 82, 11, 290, 339, 318, 17592, 284, 1928, 278, 546, 340, 13, 317, 22848, 487, 475, 2705, 12, 20122, 290, 2988, 306, 582, 11, 339, 2753, 281, 1393, 287, 262, 2614, 3160, 290, 880, 12, 11873, 286, 465, 4409, 379, 11198, 13063, 13, 198, 198, 28516, 329, 15470, 389, 262, 5474, 88, 11, 348, 3541, 11, 290, 7669, 13370, 32280, 31863, 11, 508, 714, 407, 1064, 7184, 706, 30024, 422, 11131, 7320, 3961, 290, 1141, 262, 717, 4471, 18178, 257, 2292, 355, 257, 17026, 31228, 290, 1492, 13884, 351, 262, 1664, 1566, 673, 460, 1064, 257, 1365, 1693, 26, 45408, 11, 262, 625, 22557, 11, 28858, 11, 38980, 12, 448, 11, 4295, 12, 29972, 49952, 11, 508, 17326, 4457, 6546, 1926, 1533, 28958, 290, 4596, 4541, 17580, 5608, 355, 880, 355, 7585, 25815, 26, 9055, 11, 257, 5391, 12, 86, 2175, 28765, 23542, 508, 2753, 1049, 9476, 287, 26347, 832, 7215, 12735, 13458, 4979, 319, 465, 17026, 290, 318, 262, 14162, 48934, 379, 11198, 13063, 26, 366, 464, 16828, 553, 257, 5441, 12, 1941, 12, 727, 17592, 284, 29711, 546, 465, 1714, 1204, 290, 3092, 286, 4571, 287, 1204, 508, 468, 7618, 812, 286, 1998, 355, 257, 31228, 11, 1239, 3544, 257, 17026, 11, 290, 1464, 16316, 6218, 319, 2366, 11, 1642, 510, 329, 465, 12132, 3092, 286, 3518, 2866, 416, 6970, 790, 29401, 287, 968, 1971, 2254, 26, 290, 17026, 2085, 9302, 19632, 290, 1526, 14995, 13, 19632, 11, 257, 1966, 21904, 46026, 11, 318, 257, 24354, 11, 2116, 12, 38050, 11, 2146, 577, 11, 290, 28858, 16588, 44264, 11, 981, 1526, 14995, 318, 257, 1862, 5229, 290, 2988, 508, 8404, 284, 5236, 465, 1641, 1204, 351, 465, 17026, 31228, 1693, 290, 468, 257, 47868, 329, 369, 768, 661, 13, 198, 198, 19248, 220, 198, 5199, 11303, 382, 15516, 355, 15470, 4643, 4450, 198, 3271, 943, 421, 5857, 355, 9055, 198, 2744, 259, 710, 44366, 11751, 355, 32280, 31863, 198, 7244, 31225, 355, 19632, 198, 360, 13, 43, 13, 25464, 1636, 355, 1526, 14995, 198, 4543, 29293, 355, 366, 464, 16828, 1, 198, 3409, 22361, 355, 45408, 198, 6219, 4347, 2197, 355, 1717, 35535, 357, 8344, 14924, 8, 198, 10490, 12996, 355, 16693, 35535, 357, 8344, 14924, 8, 198, 198, 35027, 198, 198, 3260, 3598, 7028, 42458, 2156, 34537, 19208, 259, 4312, 27235, 88, 319, 14424, 4373, 422, 12122, 284, 9162, 11, 5199, 11303, 382, 15516, 1364, 262, 2168, 284, 3491, 287, 465, 898, 905, 11, 11198, 13063, 13, 26542, 3594, 290, 7970, 18106, 763, 12, 25598, 262, 905, 11, 290, 547, 663, 4640, 11408, 13, 3899, 20607, 27343, 7924, 663, 8640, 13, 198, 198, 3041, 4516, 198, 198, 818, 257, 3269, 513, 11, 8735, 11, 2423, 287, 39143, 11, 14377, 36815, 3417, 11198, 13063, 355, 281, 366, 321, 3379, 649, 37521, 1, 543, 19989, 2656, 414, 780, 286, 663, 3489, 20594, 284, 49227, 290, 2580, 364, 11, 290, 543, 550, 257, 4947, 286, 3435, 5385, 284, 5581, 10209, 26, 329, 1672, 11, 339, 4367, 326, 262, 32280, 31863, 2095, 18631, 257, 1913, 28204, 284, 26542, 30717, 319, 2580, 364, 13, 36815, 3417, 20607, 27343, 355, 257, 460, 3281, 3437, 290, 262, 3597, 286, 262, 717, 4471, 355, 5032, 913, 287, 663, 2478, 286, 3435, 1231, 38080, 278, 262, 7110, 11, 475, 37104, 11198, 13063, 17478, 82, 2694, 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 ]

[ 2258, 6983, 12478, 8848, 13, 198, 198, 14967, 4470, 198, 198, 7908, 198, 1550, 1160, 3426, 11, 257, 12478, 8837, 1908, 503, 257, 17087, 6737, 13, 383, 4969, 8545, 4932, 290, 6983, 8565, 12380, 9992, 7937, 13, 383, 2258, 6983, 12478, 8848, 373, 257, 1402, 13510, 8848, 326, 20261, 1342, 621, 352, 5680, 351, 1440, 393, 1936, 2258, 25999, 379, 262, 640, 286, 262, 9992, 13, 632, 373, 2098, 326, 530, 393, 734, 286, 262, 2258, 25999, 550, 1541, 3724, 379, 262, 640, 286, 262, 9992, 13, 4969, 8545, 4932, 290, 6983, 8565, 12228, 257, 13428, 284, 3342, 287, 262, 9992, 13, 383, 4960, 9475, 286, 5947, 357, 16632, 35, 8, 4752, 257, 23043, 33846, 350, 12, 16, 30017, 13969, 6215, 422, 20001, 3701, 13405, 604, 286, 262, 449, 5653, 8068, 373, 47537, 12931, 1811, 1661, 329, 257, 1178, 2431, 416, 257, 41056, 286, 262, 2066, 286, 4969, 8565, 351, 257, 376, 9419, 13, 383, 4519, 5091, 572, 262, 1892, 78, 24078, 1626, 257, 6466, 12478, 6516, 286, 262, 734, 2678, 11, 11191, 416, 2869, 338, 8568, 3034, 6516, 11, 1497, 422, 262, 21941, 406, 666, 22230, 34243, 13, 2293, 6464, 262, 11881, 11, 262, 350, 12, 16, 13969, 6215, 3088, 7830, 284, 2800, 262, 584, 2151, 416, 5243, 284, 35520, 511, 14953, 11, 475, 1392, 645, 2882, 422, 262, 2520, 6983, 19014, 4074, 13, 383, 6597, 6946, 262, 350, 12, 16, 13969, 6215, 7482, 7763, 6049, 9037, 2162, 6983, 19014, 4074, 714, 407, 22024, 262, 3275, 13, 198, 1550, 2310, 3426, 11, 262, 4960, 4139, 286, 5947, 11, 33687, 5303, 314, 1014, 64, 11, 2714, 257, 1803, 4495, 284, 18282, 262, 6419, 286, 262, 4519, 13, 2893, 339, 1297, 262, 7638, 326, 262, 6778, 286, 262, 6983, 1735, 373, 407, 4084, 7247, 11, 339, 12318, 262, 4519, 355, 281, 4457, 4923, 2223, 13, 198, 1550, 2534, 3426, 11, 262, 4960, 4270, 35, 5952, 257, 8161, 290, 6496, 3781, 286, 262, 4519, 11, 290, 8391, 326, 262, 47537, 3920, 373, 422, 3563, 4663, 12, 15259, 11, 543, 318, 48092, 4674, 329, 3154, 15455, 13, 28386, 11, 262, 4270, 35, 5081, 326, 47537, 3920, 351, 257, 376, 9419, 373, 257, 845, 4923, 2223, 326, 714, 1085, 284, 10059, 17982, 3976, 13, 3412, 996, 340, 550, 587, 10342, 329, 257, 4074, 287, 17087, 11, 340, 9257, 22700, 584, 7937, 290, 6215, 287, 262, 25980, 13, 383, 6127, 329, 791, 36800, 14711, 15044, 379, 6896, 357, 34, 35409, 828, 543, 1111, 2869, 290, 2520, 4969, 423, 8197, 11, 5644, 14928, 597, 13428, 47537, 3920, 422, 257, 376, 9419, 284, 4031, 379, 7937, 290, 6215, 13, 1114, 777, 3840, 11, 2869, 7634, 9167, 2520, 4969, 2948, 597, 664, 33928, 286, 262, 4519, 13, 198, 1550, 2534, 3426, 11, 6983, 9475, 286, 2351, 5947, 357, 44, 8575, 8, 3414, 326, 484, 750, 407, 779, 262, 376, 9419, 357, 2257, 4663, 12, 15259, 8, 475, 340, 373, 5361, 281, 29961, 2919, 13428, 351, 262, 8452, 290, 9646, 5499, 13, 6983, 337, 8575, 635, 4752, 326, 612, 373, 645, 6824, 284, 4031, 340, 379, 262, 4960, 6215, 13, 198, 1550, 2242, 3426, 11, 6983, 337, 8575, 7189, 326, 340, 550, 1541, 4893, 663, 2292, 284, 2869, 290, 561, 22076, 7069, 284, 4155, 326, 612, 561, 407, 307, 597, 366, 25413, 4625, 5646, 1911, 198, 1550, 2242, 3426, 11, 262, 4960, 4139, 286, 8708, 10665, 11, 14110, 13090, 509, 13090, 3919, 11, 31453, 597, 1277, 7734, 11, 290, 3414, 326, 339, 561, 588, 284, 1265, 262, 5070, 286, 2520, 4969, 284, 3031, 284, 262, 4519, 287, 1502, 284, 2948, 2316, 1022, 2869, 290, 2520, 4969, 43229, 13, 198, 1550, 1987, 3426, 11, 262, 5890, 12, 12218, 286, 262, 53, 9587, 71, 3281, 1629, 12, 52, 563, 11322, 7499, 318, 281, 7876, 48036, 357, 272, 7876, 12, 4906, 9443, 8, 287, 575, 363, 375, 77, 19870, 5665, 286, 2944, 29157, 1835, 12957, 11, 3284, 13, 20133, 25, 198, 198, 19927, 198, 198, 46667, 12, 4906, 18573, 287, 2944, 29157, 1835, 12957, 51, 559, 3533, 19193, 20515, 4429, 4983, 2671, 298, 559, 3533, 1233, 14920, 11, 17996, 11722, 11, 3461, 323, 11, 8838, 326, 550, 6198, 4721, 287, 49429, 290, 262, 8891, 1616, 286, 36849, 3533, 13, 383, 2060, 3859, 17369, 373, 4721, 416, 262, 3576, 11, 7215, 1044, 290, 11905, 32130, 37211, 37272, 319, 262, 554, 933, 408, 290, 44985, 44410, 32130, 6339, 329, 262, 15607, 286, 3259, 379, 262, 2524, 290, 329, 262, 2276, 1171, 422, 24977, 13, 383, 4429, 3830, 513, 4608, 4317, 14659, 357, 21, 13, 17, 1849, 13276, 8, 422, 14926, 20515, 4429, 13, 198, 198, 18122, 220, 198, 198, 464, 4429, 318, 4143, 531, 284, 423, 587, 4721, 379, 617, 966, 706, 37272, 290, 4838, 284, 10405, 4979, 319, 767, 3426, 17575, 11, 2158, 262, 1233, 14920, 6150, 1280, 290, 318, 991, 13919, 357, 19608, 388, 2864, 737, 383, 1233, 14920, 373, 1752, 5884, 416, 257, 2060, 1627, 326, 373, 4983, 416, 30724, 13404, 422, 262, 7421, 13, 3574, 2242, 1737, 24977, 262, 17369, 373, 1695, 284, 262, 2276, 1171, 13, 1881, 2723, 3607, 262, 4756, 3128, 355, 36094, 287, 262, 2457, 1528, 286, 262, 39874, 32130, 13, 317, 705, 51, 559, 3533, 367, 2501, 6, 318, 3402, 319, 262, 28017, 14230, 41601, 13084, 3975, 13, 198, 198, 18943, 6410, 198, 464, 2829, 13510, 3859, 550, 4096, 12019, 11, 257, 2829, 11772, 290, 4831, 326, 4966, 866, 422, 262, 625, 9458, 319, 262, 7840, 1735, 286, 262, 1627, 13, 36849, 3533, 743, 423, 587, 12006, 355, 1903, 355, 36094, 11, 3393, 878, 262, 39874, 32130, 2627, 636, 286, 262, 3576, 7215, 1044, 290, 11905, 32130, 13, 220, 632, 4983, 262, 1233, 14920, 3259, 290, 262, 1957, 2055, 11, 3503, 13, 1566, 767, 3426, 17575, 11, 30724, 7291, 547, 407, 2810, 13, 198, 198, 18465, 783, 3793, 286, 262, 4429, 11, 6737, 3091, 393, 264, 2530, 2158, 262, 10384, 290, 1097, 3952, 1989, 318, 991, 1944, 290, 262, 1627, 3793, 1280, 13, 383, 1233, 14920, 8478, 373, 12228, 416, 257, 6737, 3091, 5140, 1474, 262, 2975, 625, 9458, 319, 663, 8830, 1735, 351, 734, 1790, 9785, 654, 290, 3917, 2173, 9105, 10730, 284, 262, 1388, 1627, 13, 383, 2060 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 812, 379, 1482, 37448, 355, 257, 1080, 24292, 290, 1568, 329, 262, 968, 8221, 22325, 1080, 355, 257, 3644, 24292, 290, 1366, 12499, 13, 1375, 373, 257, 2888, 286, 6409, 1466, 338, 8705, 14515, 13, 1649, 262, 2646, 317, 23762, 10175, 373, 2716, 11, 13950, 373, 7351, 355, 1893, 286, 17168, 338, 978, 25402, 5396, 5926, 13, 198, 198, 44, 2470, 1535, 15364, 220, 198, 45, 1077, 2627, 257, 11821, 329, 22794, 290, 5110, 8526, 13, 554, 5075, 673, 373, 1813, 262, 18348, 3219, 11289, 422, 262, 14842, 1222, 20181, 4992, 5693, 13, 1375, 21650, 1088, 262, 1499, 284, 2112, 2489, 329, 883, 351, 5110, 8526, 11, 290, 287, 3717, 673, 1138, 351, 968, 8221, 1181, 10191, 284, 2112, 703, 284, 2987, 326, 1181, 338, 5110, 1535, 1337, 1080, 13, 554, 2321, 11, 673, 373, 21014, 379, 262, 2059, 286, 3936, 379, 9533, 338, 1757, 290, 39607, 13950, 8785, 329, 607, 1104, 286, 883, 351, 5110, 8526, 11, 810, 673, 6793, 262, 37332, 2209, 13, 198, 198, 20148, 220, 198, 32, 677, 544, 290, 607, 5229, 547, 2923, 287, 257, 1097, 7014, 319, 262, 968, 8221, 6756, 79, 522, 319, 1737, 2242, 11, 1853, 11, 287, 26249, 32115, 11, 968, 8221, 13, 1119, 547, 319, 511, 835, 1363, 706, 257, 3187, 284, 15238, 11, 810, 607, 5229, 550, 587, 11343, 262, 42474, 15895, 13, 383, 4639, 286, 262, 1687, 291, 397, 484, 547, 10311, 287, 422, 30970, 12690, 2626, 1630, 286, 262, 16212, 290, 7425, 257, 4860, 30224, 13, 5747, 10405, 547, 38632, 290, 2923, 13, 198, 198, 13924, 2433, 282, 287, 2056, 220, 198, 45, 1077, 373, 19152, 416, 16348, 20776, 6148, 287, 262, 5878, 2646, 317, 23762, 10175, 13, 1114, 607, 2854, 11, 20776, 6148, 1839, 262, 8581, 11289, 329, 6705, 44188, 47144, 11, 20862, 13950, 1141, 607, 13427, 4046, 13, 198, 198, 19927, 198, 198, 13518, 3555, 220, 198, 317, 23762, 10175, 416, 45425, 22767, 283, 11, 7795, 198, 198, 41506, 6117, 220, 198, 198, 1129, 2091, 27244, 198, 4626, 7040, 198, 7437, 1466, 37898, 198, 7437, 37898, 198, 7437, 3644, 24867, 198, 7437, 1466, 12037, 198, 36393, 3961, 286, 14044, 31333, 198, 44, 2470, 1535, 7941, 198, 8061, 422, 2986, 26482, 198, 8061, 422, 2688, 31561, 32115, 11, 968, 8221, 198, 29197, 4519, 7040, 287, 968, 8221, 198, 19221, 85, 7079, 272, 795, 5663, 284, 262, 1578, 1829, 198, 1238, 400, 12, 14792, 1466, 12037, 198, 28620, 422, 968, 8221, 198, 2481, 301, 12, 14792, 1605, 1466, 1722, 77, 1219, 6413, 12654, 385, 6592, 357, 39363, 422, 4670, 354, 6413, 355, 28803, 50085, 357, 6738, 7897, 355, 3919, 828, 2082, 12654, 4669, 4656, 11, 532, 82, 20402, 257, 35488, 220, 357, 10247, 12654, 385, 20402, 3724, 11, 2636, 4008, 318, 257, 220, 8598, 287, 262, 8830, 636, 286, 262, 609, 10102, 8598, 2837, 287, 262, 843, 274, 286, 25768, 13, 632, 7363, 287, 262, 4231, 421, 541, 64, 17718, 11, 5833, 5049, 22783, 11, 609, 620, 292, 5665, 13, 632, 318, 22765, 26283, 286, 609, 10102, 290, 10031, 421, 538, 343, 33061, 11, 290, 24821, 286, 575, 333, 4134, 330, 11400, 13, 198, 198, 19927, 220, 198, 198, 35452, 1299, 286, 25768, 198, 35452, 1299, 286, 4231, 421, 541, 64, 17718, 464, 10844, 6, 31160, 1257, 13174, 7499, 318, 257, 1257, 13174, 20515, 287, 262, 8200, 1748, 286, 5215, 12162, 14320, 262, 350, 544, 34443, 4347, 11109, 11, 319, 262, 5743, 286, 262, 9566, 1748, 7372, 11, 284, 262, 2744, 568, 2944, 29188, 13, 383, 1627, 318, 530, 286, 1811, 2081, 1257, 13174, 82, 287, 262, 1748, 11, 1390, 262, 9033, 13227, 1906, 49, 394, 72, 1257, 13174, 290, 262, 4670, 46218, 1257, 13174, 11, 3584, 262, 7489, 979, 431, 1906, 38, 2596, 283, 14057, 19127, 20515, 318, 635, 3360, 27383, 3481, 3417, 355, 257, 1257, 13174, 13, 198, 198, 18122, 220, 198, 464, 1257, 13174, 373, 4721, 287, 1248, 6420, 11, 290, 373, 7317, 1660, 12, 15808, 11, 351, 1660, 12591, 257, 2613, 459, 6873, 739, 262, 25739, 379, 262, 1353, 4429, 11, 290, 23909, 1112, 379, 262, 4220, 13, 383, 1627, 373, 11513, 284, 5186, 4905, 287, 7169, 11, 290, 373, 757, 3660, 1143, 287, 10249, 1708, 257, 2046, 326, 6572, 262, 1353, 4429, 13, 198, 198, 32180, 220, 198, 464, 1627, 318, 3058, 5257, 416, 3001, 51, 5215, 10071, 11, 290, 468, 262, 1708, 10007, 25, 198, 198, 6214, 635, 220, 198, 7343, 286, 1257, 13174, 45247, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 220, 198, 198, 14282, 1660, 12, 12293, 1257, 13174, 45247, 11513, 284, 8744, 198, 24629, 13174, 45247, 287, 8031, 198, 44631, 1014, 3951, 287, 406, 328, 34484, 198, 8291, 634, 287, 5215, 12162, 33, 1078, 12523, 10682, 20332, 265, 382, 15868, 6888, 357, 6286, 3269, 2534, 11, 25190, 8, 318, 662, 17660, 286, 262, 19057, 5018, 13, 198, 198, 19927, 198, 198, 36376, 661, 198, 53, 18245, 2254, 25091, 198, 1129, 3980, 27244, 9704, 13922, 357, 6286, 2579, 1737, 20510, 8, 318, 257, 3517, 39349, 11, 2214, 5698, 11, 1772, 11, 49066, 10834, 290, 22775, 12811, 13, 679, 373, 11343, 262, 10771, 36, 287, 2813, 329, 465, 670, 1262, 15162, 35724, 284, 2018, 13817, 290, 7719, 987, 30844, 10721, 1022, 2003, 2766, 422, 262, 4498, 290, 8830, 995, 13, 679, 318, 3058, 3611, 9142, 286, 3806, 904, 30149, 41782, 13, 554, 3269, 1584, 339, 5668, 257, 5125, 12, 820, 11, 36058, 1849, 13276, 12538, 286, 262, 4387, 6450, 10326, 319, 4534, 11, 319, 2366, 290, 416, 41021, 13, 198, 198, 21756, 198, 28524, 287, 911, 305, 862, 10695, 319, 2579, 1737, 20510, 11, 290, 1912, 287, 2629, 9246, 11, 41782, 1201, 5816, 11, 13922, 6529, 355, 257, 17028, 287, 262, 7032, 286, 22817, 26355, 11, 2526, 33585, 290, 1814, 12, 32741, 13, 679, 318, 257, 29764, 286, 1111, 262, 5905, 28089, 6289, 286, 968, 1971, 11, 290, 262, 8111, 2269, 17046, 7023, 287, 3576, 13, 198, 198, 4366, 8208, 812, 3377, 2877, 290, 16574, 20823, 287, 9671, 11, 1390, 257, 5125, 12, 820, 352, 11, 6200, 1849, 13276, 7002, 319, 2366, 290, 416, 41021, 1973, 262, 33523, 17264, 10326, 422, 4849, 282, 993, 284, 360, 28083, 11, 290, 281, 4019 ]

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

[ 10009, 1086, 292, 1073, 220, 198, 220, 3570, 391, 347, 516, 21108, 198, 220, 29737, 399, 6, 13482, 2411, 64, 198, 220, 26640, 624, 24682, 280, 64, 198, 198, 464, 1708, 1938, 2722, 5726, 422, 262, 18677, 3197, 25, 198, 220, 14757, 4216, 22297, 198, 220, 2631, 128, 239, 64, 13685, 301, 259, 198, 220, 7598, 64, 11899, 283, 11106, 198, 220, 15368, 309, 451, 1681, 198, 198, 1925, 4350, 198, 198, 29974, 829, 628, 21462, 20291, 283, 2879, 825, 13, 220, 47817, 4460, 13210, 1990, 72, 38325, 718, 1906, 18, 11, 767, 1906, 20, 13, 198, 198, 40287, 7689, 628, 42447, 11023, 893, 1220, 220, 833, 4103, 10923, 292, 500, 825, 13, 220, 1215, 380, 21162, 6065, 2634, 358, 8471, 12, 44, 558, 343, 292, 1220, 220, 22350, 5733, 14332, 6212, 5733, 767, 1906, 21, 7, 1157, 1906, 24, 828, 718, 1906, 16, 13, 198, 198, 41506, 6117, 198, 28529, 15887, 198, 198, 15766, 47, 2547, 571, 292, 390, 44599, 626, 293, 12, 34, 3021, 261, 494, 198, 15865, 341, 14644, 390, 44599, 626, 293, 12, 9771, 2634, 9099, 494, 198, 9492, 198, 5539, 287, 4141, 20790, 28532, 349, 393, 35023, 349, 318, 257, 7404, 290, 1966, 19716, 306, 1181, 287, 12612, 349, 7193, 14852, 286, 30311, 11, 8830, 3794, 13, 198, 198, 18122, 220, 198, 28532, 349, 373, 257, 28980, 5016, 19716, 306, 1181, 11, 1390, 257, 1218, 7404, 287, 8882, 72, 14248, 12898, 13, 632, 373, 8879, 416, 15841, 49484, 509, 8506, 286, 449, 71, 6081, 30908, 1719, 536, 461, 273, 3670, 290, 636, 286, 9910, 283, 14248, 12898, 536, 2271, 13, 198, 198, 1026, 550, 257, 5929, 3265, 286, 807, 2718, 287, 39923, 11, 39127, 257, 1181, 6426, 286, 352, 11, 23, 1954, 11667, 42623, 357, 1129, 3070, 1906, 1129, 3023, 11, 4632, 422, 1956, 828, 5989, 256, 7657, 286, 642, 1485, 11667, 42623, 284, 262, 12822, 1134, 5767, 2409, 11329, 1812, 290, 6298, 11667, 42623, 284, 5121, 283, 1812, 13, 198, 198, 10082, 4867, 290, 9358, 220, 198, 383, 7404, 338, 1402, 9626, 349, 20515, 4429, 20417, 340, 284, 12612, 349, 11, 543, 7363, 319, 262, 1388, 21427, 2975, 1812, 14914, 12, 20, 13, 632, 318, 5884, 284, 1793, 45056, 11, 2681, 1849, 13276, 284, 262, 5093, 11, 290, 11023, 349, 357, 1485, 1849, 13276, 8, 290, 569, 324, 375, 3301, 357, 1120, 1849, 13276, 8, 284, 262, 5366, 13, 198, 22596, 422, 262, 12763, 11, 340, 318, 5884, 284, 15909, 15425, 832, 257, 3127, 286, 1499, 9725, 13, 4042, 286, 262, 1499, 9725, 389, 31285, 11, 2060, 12, 33533, 290, 13025, 9456, 13, 317, 6903, 286, 262, 6339, 1022, 12612, 349, 290, 569, 324, 375, 3301, 318, 257, 13592, 2975, 13, 198, 198, 6214, 635, 220, 198, 37203, 2978, 64, 9626, 349, 11, 6716, 7404, 198, 198, 41506, 6117, 290, 4237, 220, 198, 18122, 198, 11773, 38772, 263, 319, 17400, 1847, 532, 8882, 72, 14248, 12898, 198, 198, 17574, 17815, 198, 198, 35784, 306, 2585, 286, 30311, 198, 42, 11106, 19716, 306, 2585, 464, 2177, 2254, 286, 1550, 74, 499, 1723, 64, 39046, 39221, 373, 257, 4708, 20790, 7756, 2826, 319, 1327, 8028, 13, 632, 373, 262, 2368, 8313, 286, 262, 7756, 290, 636, 286, 262, 2177, 39046, 39221, 9852, 13, 632, 1718, 1295, 287, 14628, 6916, 11, 4505, 422, 362, 284, 807, 3269, 2177, 13, 198, 198, 13383, 3197, 49117, 198, 198, 50, 39642, 628, 352, 40284, 389, 355, 286, 3426, 2608, 11, 1584, 13, 198, 198, 6395, 49117, 198, 464, 1708, 1938, 2722, 4295, 27761, 656, 262, 25287, 1388, 3197, 25, 198, 24980, 21961, 9232, 198, 13307, 337, 1252, 198, 13067, 2165, 16221, 198, 5436, 9330, 3846, 198, 198, 464, 1708, 2137, 2722, 5726, 656, 262, 25287, 1388, 3197, 351, 257, 6861, 12759, 25, 198, 45524, 4448, 25332, 3889, 198, 198, 464, 1708, 1938, 2722, 5726, 422, 262, 18677, 3197, 25, 198, 4422, 21764, 198, 10009, 19645, 46965, 198, 11336, 8858, 8270, 198, 25957, 315, 8130, 471, 354, 7745, 1689, 198, 198, 1925, 4350, 198, 198, 29974, 829, 628, 5613, 1514, 73, 322, 66, 46355, 825, 13, 220, 24980, 21961, 9232, 718, 1906, 18, 11, 718, 1906, 16, 13, 198, 198, 40287, 7689, 628, 13071, 17437, 40712, 17187, 1220, 220, 5436, 45606, 333, 825, 13, 220, 8239, 390, 15329, 446, 1220, 220, 13067, 2165, 16221, 767, 1906, 21, 7, 22, 1906, 20, 828, 604, 1906, 21, 11, 685, 940, 1906, 21, 4083, 198, 198, 41506, 6117, 198, 28529, 15887, 198, 198, 14941, 286, 1550, 74, 499, 1723, 64, 39046, 39221, 198, 14941, 286, 1550, 74, 499, 1723, 64, 39046, 39221, 198, 5539, 287, 6638, 20790, 51, 519, 25604, 25773, 79, 30848, 357, 6286, 287, 28017, 8, 373, 920, 71, 1313, 276, 355, 262, 3554, 286, 5809, 74, 2150, 26785, 24767, 31144, 286, 31877, 25932, 329, 12862, 11322, 287, 21577, 290, 9179, 1909, 355, 262, 7123, 36187, 329, 477, 31877, 20838, 6910, 1095, 287, 12862, 11322, 13, 25773, 79, 30848, 318, 530, 286, 262, 749, 4664, 10923, 292, 329, 262, 5809, 74, 2150, 26785, 24767, 290, 399, 1112, 2611, 1627, 1095, 286, 31877, 25932, 13, 198, 198, 818, 3090, 284, 852, 281, 13013, 8557, 3554, 11, 25773, 79, 30848, 2826, 281, 4075, 2597, 287, 4819, 422, 262, 9507, 82, 618, 339, 373, 7018, 355, 262, 717, 3554, 286, 262, 12862, 11322, 7561, 4606, 11, 1566, 5816, 618, 339, 16542, 422, 465, 1281, 355, 262, 4139, 286, 1812, 329, 12862, 11322, 10665, 290, 21913, 13, 198, 198, 48231, 287, 43014, 290, 3835, 220, 198, 49, 259, 79, 30848, 468, 4120, 287, 1811, 11648, 7328, 1390, 31604, 271, 286, 18910, 290, 383, 31877, 4897, 286, 262, 5542, 25, 317, 6378, 286, 5155, 13, 25773, 79, 30848, 460, 635, 307, 1775, 287, 257, 4071, 15424, 9640, 422, 17672, 287, 257, 5882, 5155, 33189, 329, 30673, 73, 296, 25773, 79, 30848, 11, 25773, 79, 30848, 338, 6808, 4701, 13, 198, 198, 49, 1939, 831, 3813, 67, 89, 9101, 220, 198, 49, 259, 79, 30848, 318, 257, 31144, 15762, 329, 262, 7743, 6772, 286, 9986, 14520, 9071, 2213, 377, 262, 3878, 11, 13419, 286, 3771, 4680, 4700, 13846, 290, 15901, 530, 286, 262, 749, 1593, 11478, 286, 428, 6772, 326, 2753, 510 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2399, 11989, 2627, 3230, 21703, 287, 25286, 7278, 290, 14186, 14966, 13, 1471, 2616, 338, 2802, 76, 26013, 11, 262, 34331, 286, 1105, 1751, 11, 6898, 290, 12228, 257, 22634, 3650, 287, 262, 2677, 3271, 12696, 287, 10843, 329, 2319, 812, 13, 198, 198, 39443, 330, 32036, 338, 2988, 11, 257, 15347, 29390, 11, 3888, 284, 2692, 422, 16519, 287, 19342, 11, 618, 19068, 373, 257, 1200, 13, 383, 1641, 373, 3595, 11, 750, 407, 2740, 16505, 290, 373, 649, 284, 262, 1957, 3968, 13, 383, 9846, 286, 262, 1641, 338, 44618, 1568, 13338, 19068, 284, 2251, 8336, 368, 5142, 13, 2399, 2988, 763, 12, 27060, 257, 31889, 8860, 11, 475, 465, 4887, 18240, 262, 1664, 338, 5153, 290, 11468, 11, 4305, 683, 6265, 13, 10579, 12, 1941, 12, 727, 19068, 19982, 284, 8551, 262, 8860, 1956, 13, 6288, 11, 340, 318, 262, 1956, 810, 262, 575, 626, 8495, 3337, 6296, 13, 198, 198, 5574, 2616, 290, 19068, 32036, 1138, 287, 12113, 11, 287, 511, 44471, 290, 21021, 13, 1375, 9431, 683, 284, 1577, 607, 262, 720, 17, 11, 830, 339, 550, 7448, 523, 326, 673, 714, 2822, 5696, 284, 787, 511, 717, 43836, 38987, 11, 772, 996, 339, 2993, 2147, 546, 25286, 7278, 13, 554, 262, 976, 614, 11, 484, 9393, 262, 1664, 11, 543, 373, 788, 1444, 19068, 32036, 29151, 563, 13, 198, 198, 6385, 2520, 6896, 25286, 7278, 547, 3675, 511, 4466, 11, 262, 16042, 893, 2067, 4731, 278, 40941, 25286, 7278, 351, 3869, 36116, 290, 5026, 541, 260, 4680, 14966, 884, 355, 14779, 271, 37296, 32176, 11, 29537, 11, 319, 28391, 290, 7858, 421, 25678, 13, 1119, 3111, 319, 262, 33179, 286, 511, 7962, 287, 10843, 290, 2067, 416, 6301, 511, 9824, 284, 262, 15744, 3216, 22634, 1664, 287, 12088, 28890, 13, 554, 10249, 11, 262, 1664, 338, 1438, 373, 3421, 284, 575, 18697, 5855, 32163, 88, 1, 32213, 16196, 737, 198, 198, 818, 262, 6303, 82, 290, 4751, 82, 11, 262, 1664, 4104, 663, 1597, 1973, 262, 995, 290, 12725, 3241, 618, 21305, 2067, 5762, 663, 22634, 13, 554, 3050, 11, 262, 16042, 893, 3888, 262, 1664, 422, 262, 8372, 10843, 6232, 286, 7193, 79, 5151, 284, 511, 8308, 12006, 10043, 25, 262, 575, 626, 8495, 3337, 13, 198, 198, 47522, 2410, 290, 262, 8336, 368, 5142, 1524, 198, 464, 575, 626, 22634, 1486, 3641, 290, 3227, 8860, 1302, 319, 262, 35082, 286, 262, 30044, 272, 14379, 655, 2354, 6543, 4496, 11, 1863, 262, 10843, 12, 33317, 28890, 12763, 13, 383, 220, 3716, 7777, 257, 9692, 6, 3641, 351, 257, 513, 35, 3807, 13766, 11, 810, 1790, 7328, 4478, 262, 1664, 338, 2106, 290, 4365, 389, 3402, 329, 22634, 30303, 11, 10650, 290, 10013, 4205, 2628, 13, 198, 198, 1858, 318, 635, 257, 8237, 45164, 319, 2524, 11, 543, 373, 3170, 1626, 257, 15032, 678, 400, 12, 14792, 7815, 2615, 326, 373, 1752, 281, 3527, 329, 42408, 319, 511, 835, 284, 10843, 290, 4271, 23707, 262, 412, 8310, 265, 1592, 1924, 13, 198, 198, 5189, 262, 1802, 4409, 11, 517, 621, 4101, 4, 389, 5582, 7971, 422, 2534, 2678, 1390, 3284, 11, 4392, 11, 3908, 290, 262, 1578, 1829, 13, 198, 198, 464, 8336, 368, 5142, 3961, 286, 29151, 563, 290, 3683, 11, 4920, 287, 3050, 11, 468, 5670, 319, 530, 739, 13776, 48446, 10618, 286, 262, 6085, 15773, 3265, 13, 383, 1524, 13404, 290, 24803, 691, 6771, 508, 40227, 422, 31592, 13, 383, 1573, 366, 1326, 24090, 263, 1789, 76, 1, 1724, 366, 5235, 9339, 1, 287, 1703, 9869, 291, 13, 383, 717, 1398, 286, 2310, 2444, 11, 287, 262, 2479, 2837, 422, 1160, 284, 5996, 11, 18303, 287, 2321, 13, 198, 198, 464, 1479, 1105, 12, 8424, 1781, 3407, 257, 3598, 12, 8424, 9793, 284, 262, 4847, 286, 22634, 1642, 11, 1390, 16840, 4634, 290, 262, 1486, 1429, 13, 383, 1781, 318, 3562, 284, 7139, 262, 6809, 284, 25340, 262, 1936, 12, 8424, 22634, 697, 42845, 1781, 286, 262, 9475, 286, 17420, 11, 9601, 290, 7882, 13, 1629, 262, 976, 640, 11, 484, 5262, 16505, 11, 1641, 4466, 4542, 11, 19473, 290, 6085, 3968, 10902, 284, 1037, 606, 1716, 18118, 2950, 4290, 13, 31879, 669, 389, 7147, 1871, 262, 575, 626, 3259, 290, 8336, 368, 5142, 19087, 13, 383, 6809, 3328, 257, 22111, 437, 4961, 284, 262, 6085, 5288, 7699, 13, 198, 198, 6385, 749, 286, 262, 2444, 423, 1239, 2722, 8766, 3707, 290, 389, 2877, 2174, 262, 8098, 1627, 11, 262, 10902, 389, 4688, 329, 511, 11812, 290, 7184, 13, 17701, 12632, 460, 3853, 1771, 484, 765, 284, 4654, 575, 626, 11, 2652, 379, 8336, 368, 5142, 290, 1037, 340, 1716, 257, 2116, 12, 82, 436, 1328, 1597, 11, 393, 5380, 670, 8057, 355, 3869, 21453, 82, 11, 43836, 264, 3816, 393, 15291, 900, 1010, 13, 198, 198, 25492, 746, 2049, 15310, 433, 461, 11, 1900, 287, 262, 13316, 355, 38468, 887, 354, 726, 11, 373, 262, 2368, 749, 8157, 19690, 11700, 505, 8688, 287, 1584, 13, 15310, 433, 461, 15052, 20755, 14119, 290, 3687, 2807, 11, 351, 9849, 4999, 30091, 13, 632, 4073, 513, 7040, 290, 24563, 3, 30924, 1510, 357, 2937, 3, 2481, 1510, 8, 286, 2465, 287, 14119, 13, 10968, 11, 15310, 433, 461, 635, 550, 20756, 3048, 287, 32671, 666, 11, 2807, 11, 6666, 13374, 7040, 290, 38221, 24, 13, 2079, 2997, 357, 2937, 3, 16, 13, 2920, 2997, 8, 286, 2465, 13, 2293, 262, 1622, 11, 2472, 12616, 20672, 510, 284, 38221, 1065, 13, 2996, 2997, 357, 2937, 3, 16, 13, 4531, 2997, 737, 198, 198, 464, 717, 3706, 6388, 290, 37428, 2049, 286, 262, 5079, 37428, 2049, 1622, 11, 15310, 433, 461, 4166, 656, 257, 19690, 6388, 5366, 286, 39282, 319, 2901, 513, 290, 4444, 257, 1700, 12, 83, 798, 1594, 12, 820, 2278, 1231, 257, 3706, 6388, 625, 262, 34164, 11, 8165, 351, 262, 8309, 1906, 21113, 16654, 13, 45445, 813, 9646, 24821, 904, 319, 2901, 604, 290, 5033, 257, 37428, 2049, 319, 262, 1306, 1110, 11, 15310, 433, 461, 4251, 9103, 12245, 351, 257, 6757, 13207, 4151, 319, 2901, 718, 13, 15310, 433, 461, 2067, 284, 13813, 319, 2901, 767, 290, 788, 12606, 14119, 1568, 11, 878 ]

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

[ 663, 11305, 3859, 13, 8016, 2007, 373, 5710, 416, 465, 5797, 290, 13012, 503, 286, 257, 2264, 27567, 905, 339, 373, 900, 284, 2583, 13, 7486, 262, 7823, 7317, 3066, 284, 12377, 17453, 723, 1835, 4604, 341, 319, 7823, 27107, 11, 340, 373, 4615, 287, 1903, 2693, 13, 198, 198, 33, 45689, 220, 198, 3700, 8016, 2007, 25, 22875, 1482, 25, 383, 3683, 286, 1446, 321, 2229, 257, 1446, 321, 647, 13, 1853, 13, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 220, 198, 198, 2348, 25402, 286, 262, 2059, 286, 44985, 198, 29284, 13914, 5535, 31333, 198, 25631, 21421, 13445, 198, 36376, 661, 198, 25631, 4257, 43520, 198, 5377, 276, 1547, 422, 3576, 198, 27271, 286, 4082, 4814, 357, 19950, 661, 8, 198, 17688, 286, 4082, 4814, 357, 19950, 661, 8, 198, 2481, 301, 12, 14792, 3517, 43520, 49, 463, 10196, 317, 13, 28638, 220, 220, 357, 16192, 2242, 11, 37667, 784, 2805, 1478, 11, 28684, 828, 373, 257, 4708, 9283, 2137, 508, 2826, 40388, 287, 262, 8386, 1004, 6120, 329, 262, 520, 13, 5593, 18071, 287, 45611, 13, 198, 198, 23286, 4867, 198, 1544, 373, 4642, 287, 37667, 13, 679, 3724, 319, 2805, 1478, 11, 28684, 287, 8437, 11, 4744, 13, 198, 198, 41506, 6117, 198, 198, 1507, 2154, 27244, 198, 1129, 2718, 7040, 198, 24206, 4041, 17362, 1790, 301, 2840, 198, 14881, 1894, 1938, 422, 11565, 198, 1273, 13, 5593, 18071, 1938, 198, 39825, 4652, 9283, 11663, 198, 43, 8083, 17476, 1938, 198, 44, 504, 3245, 17476, 1938, 198, 34, 44226, 27466, 347, 20935, 444, 1938, 198, 24453, 19115, 1001, 363, 724, 82, 1938, 198, 3629, 30602, 1122, 15261, 1938, 198, 15156, 260, 9398, 1133, 367, 1252, 298, 1747, 1938, 198, 15200, 504, 4244, 5866, 44164, 1938, 198, 42426, 1044, 44781, 357, 8692, 1894, 8, 1938, 198, 9069, 20646, 3327, 2254, 82, 1938, 198, 30387, 3245, 3334, 32358, 1938, 198, 1273, 13, 7212, 17832, 1938, 198, 39, 7140, 7899, 13754, 17832, 1938, 198, 54, 41940, 15768, 1213, 1938, 198, 37590, 84, 4188, 10322, 82, 1938, 198, 12621, 8107, 5783, 507, 1938, 198, 13681, 26874, 9212, 364, 1938, 198, 48035, 22261, 3738, 417, 13920, 1938, 198, 39, 459, 654, 10467, 2254, 82, 1938, 198, 37, 1044, 43611, 12746, 1938, 9771, 7114, 12937, 357, 1129, 3553, 784, 3426, 2608, 11, 3717, 8, 373, 281, 1605, 4302, 14015, 13, 198, 198, 21756, 220, 198, 198, 2215, 12937, 338, 1448, 3214, 832, 339, 3767, 3597, 290, 13777, 329, 2460, 290, 1641, 11, 1804, 2512, 4671, 11, 3503, 13, 12937, 1568, 2627, 28357, 284, 8469, 15144, 13, 16178, 11, 351, 262, 11443, 286, 465, 3656, 290, 1751, 290, 465, 4564, 11, 383, 12232, 16904, 1142, 6008, 11, 12937, 44537, 515, 290, 2627, 257, 1336, 12, 2435, 5342, 13, 12937, 25889, 351, 262, 12232, 16904, 1142, 6008, 10031, 343, 290, 262, 12232, 16904, 1142, 6008, 5573, 364, 11, 351, 4150, 339, 1839, 257, 42235, 290, 257, 48595, 11289, 13, 198, 198, 47663, 50096, 604, 286, 642, 23999, 82, 352, 14880, 14684, 13, 220, 198, 45037, 23999, 82, 812, 7795, 784, 4343, 13, 220, 198, 198, 47663, 373, 635, 14641, 351, 12317, 4890, 475, 339, 3767, 284, 1620, 13, 2399, 3648, 5062, 11, 41839, 11, 373, 19332, 329, 257, 48595, 11289, 329, 38698, 23244, 23999, 286, 262, 6280, 11, 351, 262, 3496, 366, 16773, 1550, 1, 852, 19332, 329, 38698, 23244, 50096, 10940, 286, 262, 6280, 13, 198, 198, 47663, 550, 587, 20581, 4890, 290, 3724, 422, 26077, 3251, 319, 3426, 2608, 11, 3717, 287, 31620, 9256, 287, 14045, 11, 968, 1971, 13, 198, 198, 15642, 4867, 220, 198, 9771, 7114, 12937, 8362, 1058, 2215, 921, 2329, 1680, 470, 13707, 628, 1892, 314, 887, 1951, 357, 21113, 8, 198, 30759, 19882, 2185, 357, 14585, 8, 198, 4333, 287, 262, 6530, 286, 262, 4453, 357, 14585, 8, 198, 41839, 357, 12726, 8, 198, 198, 19927, 198, 198, 41506, 6117, 198, 9771, 7114, 12937, 319, 1439, 22648, 198, 198, 1129, 3553, 27244, 198, 10531, 7040, 198, 7437, 23827, 286, 4302, 2647, 198, 7437, 21443, 39113, 198, 1238, 400, 12, 14792, 1605, 39113, 198, 8061, 422, 14045, 11, 968, 1971, 198, 29974, 364, 422, 968, 1971, 2254, 40287, 14391, 9966, 8092, 357, 1433, 2901, 24168, 784, 2242, 3269, 4343, 8, 373, 281, 42844, 272, 24233, 13, 198, 198, 1544, 373, 4642, 287, 10930, 290, 15657, 379, 262, 2059, 286, 3517, 9309, 13, 198, 1544, 373, 36777, 287, 22458, 290, 373, 7317, 2714, 1090, 13433, 379, 220, 22458, 26, 4424, 378, 11, 520, 5335, 338, 11, 17337, 2442, 14597, 290, 706, 326, 379, 220, 520, 4502, 338, 11, 10930, 13, 679, 373, 24017, 283, 286, 4285, 776, 3549, 290, 788, 2714, 2252, 19742, 3976, 379, 6762, 313, 28194, 11, 4643, 25433, 295, 11, 17842, 290, 34201, 9458, 878, 852, 9899, 302, 2715, 286, 262, 23541, 23122, 290, 11325, 286, 23541, 23122, 287, 19322, 13, 6675, 812, 1568, 339, 2627, 262, 6031, 31292, 338, 5544, 24233, 13, 198, 198, 1544, 16542, 465, 4091, 287, 14745, 13, 198, 198, 23792, 465, 10737, 287, 14745, 11, 339, 4504, 284, 28830, 11957, 379, 1439, 13048, 287, 33005, 14579, 11, 15555, 810, 339, 4983, 1566, 12863, 11, 981, 635, 7205, 355, 15286, 16559, 286, 17842, 13, 679, 3724, 3269, 2242, 11, 4343, 290, 318, 287, 44866, 287, 262, 6845, 17756, 379, 520, 13, 1757, 338, 32536, 11, 23541, 23122, 13, 198, 198, 464, 16559, 8092, 14861, 11652, 290, 6845, 17756, 318, 5140, 319, 262, 9384, 286, 1439, 13048, 42844, 272, 4564, 11, 33005, 14579, 13, 198, 198, 19927, 198, 198, 1129, 1558, 27244, 198, 21009, 286, 3517, 9309, 31333, 198, 13450, 677, 272, 4564, 286, 3340, 390, 504, 198, 13450, 677, 272, 27538, 286, 23541, 23122, 198, 1238, 400, 12, 14792, 42844, 272, 4564, 286, 3340, 27538, 198, 12726, 7040, 24602, 7327, 318, 262, 2033, 286, 2057, 1695, 329, 1692, 7327, 355, 6108, 416, 262, 1578, 7973, 7318, 290, 19717, 12275, 357, 7708, 46, 8, 7318, 22924, 1375, 1039, 13, 2102, 11, 262, 4036, 2057, 7327, 743, 307, 2793, 621, 262, 12040, 3402, 355, 2057, 11500, 8338, 319, 262, 14735, 286, 25057, 496, 290, 9089, 286, 2057, 287, 262, 6641, 11, 329, 1672, 1141, 6143, 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 ]

[ 220, 198, 464, 8366, 360, 9821, 4809, 36451, 373, 5611, 287, 2739, 13130, 13, 770, 10874, 286, 3537, 45607, 337, 3838, 357, 2704, 2337, 10088, 828, 2947, 32572, 357, 6404, 2569, 10131, 828, 5256, 8597, 385, 13122, 357, 49257, 828, 1148, 6081, 357, 71, 2117, 8321, 828, 2986, 21915, 357, 18041, 3331, 828, 509, 13137, 357, 46813, 785, 828, 17419, 660, 357, 17822, 828, 290, 5184, 88, 11, 326, 6967, 9404, 5399, 257, 1115, 614, 8022, 284, 2267, 290, 1332, 703, 15382, 460, 8676, 284, 5203, 11409, 287, 262, 12671, 290, 1394, 11409, 9857, 287, 262, 2003, 13, 383, 3315, 4887, 389, 1593, 284, 1205, 262, 826, 1611, 286, 6334, 2139, 13, 5184, 88, 290, 509, 13137, 389, 262, 734, 3037, 4887, 13, 13139, 1014, 832, 262, 1628, 11, 262, 717, 347, 53, 45376, 13956, 423, 587, 6157, 416, 262, 3537, 45607, 337, 3838, 319, 1180, 11926, 1022, 11301, 1222, 2910, 3331, 287, 262, 12671, 13, 198, 198, 48979, 6168, 220, 198, 3152, 4258, 1487, 11, 5801, 13326, 286, 48298, 4329, 1593, 351, 262, 3649, 2526, 286, 48298, 13, 5184, 88, 29806, 510, 351, 5870, 34, 48574, 404, 1010, 290, 11233, 17718, 286, 51, 4487, 544, 5913, 569, 533, 5031, 4689, 14708, 357, 6286, 9162, 828, 318, 257, 34497, 19780, 2137, 13, 1375, 373, 11343, 262, 3670, 286, 14381, 4037, 5599, 287, 2211, 13, 198, 198, 7376, 824, 3451, 198, 3347, 468, 7997, 16666, 379, 257, 1271, 286, 6926, 338, 25774, 7001, 72, 5643, 11, 1390, 2321, 11, 810, 673, 7781, 513, 23141, 14, 22, 319, 3096, 1440, 11, 1946, 357, 21, 14, 23, 355, 717, 11515, 8, 290, 1584, 357, 19, 14, 24, 319, 3096, 1115, 737, 198, 198, 3347, 10617, 329, 262, 6926, 338, 25774, 2159, 5454, 33448, 11, 810, 673, 1718, 3362, 500, 1962, 488, 446, 284, 9839, 30058, 878, 4191, 852, 9772, 362, 23141, 12, 16, 23141, 287, 262, 717, 2835, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 51, 4487, 544, 5913, 569, 533, 5031, 4689, 14708, 19780, 1830, 379, 21268, 2395, 824, 13, 785, 198, 198, 22666, 27244, 198, 36376, 661, 198, 53, 12596, 272, 19780, 1938, 198, 7376, 824, 14381, 4037, 15812, 198, 7376, 824, 7001, 72, 324, 13861, 4933, 1211, 88, 373, 262, 11695, 4074, 286, 262, 220, 286, 262, 7570, 8565, 13, 198, 198, 36687, 290, 3451, 198, 464, 4074, 373, 3170, 379, 2258, 48127, 323, 1990, 16656, 9413, 287, 2011, 74, 5708, 452, 290, 373, 5611, 319, 1478, 3267, 23859, 290, 20462, 656, 262, 2619, 6896, 20001, 319, 513, 3426, 9507, 13, 198, 198, 818, 2795, 20510, 11, 706, 281, 987, 12, 33559, 10066, 422, 37918, 459, 39704, 1863, 262, 8342, 6896, 18956, 284, 13080, 452, 455, 482, 11, 340, 2627, 636, 286, 262, 8211, 20001, 286, 262, 7570, 8565, 13, 1550, 678, 1737, 19322, 11, 673, 373, 302, 31691, 656, 257, 1588, 10105, 4074, 357, 11473, 42, 737, 554, 262, 2278, 422, 2608, 3426, 15904, 284, 2534, 2805, 15963, 11, 673, 25289, 257, 1688, 18708, 379, 12348, 89, 615, 375, 16656, 9413, 357, 53, 9435, 452, 455, 482, 737, 198, 198, 818, 16450, 11, 262, 41056, 5281, 503, 5249, 2139, 287, 262, 3942, 10692, 11, 1141, 428, 2278, 925, 1597, 3848, 284, 1168, 35410, 571, 283, 357, 51, 35410, 5411, 828, 4434, 2634, 357, 44, 1940, 1083, 828, 471, 3020, 1195, 292, 81, 357, 31206, 828, 10243, 283, 28354, 357, 23798, 8, 290, 4312, 527, 357, 50, 296, 9752, 737, 3574, 3035, 1679, 11, 8069, 11, 284, 2932, 678, 11, 8069, 11, 339, 1718, 636, 287, 281, 5517, 290, 5281, 503, 5249, 2139, 287, 262, 3942, 10692, 11, 925, 1597, 3848, 284, 4312, 527, 64, 11, 30926, 48563, 84, 11, 471, 3020, 1195, 292, 81, 11, 48918, 13, 2932, 532, 3267, 16101, 532, 2422, 2139, 287, 262, 8211, 10692, 11, 287, 262, 7652, 286, 3340, 11, 2258, 2253, 290, 13708, 13, 3574, 767, 3945, 15589, 284, 513, 3945, 15524, 11, 673, 373, 3660, 1143, 290, 30080, 379, 12348, 89, 615, 375, 1864, 284, 262, 1628, 7632, 12, 32, 13, 2932, 513, 11, 15589, 302, 31691, 355, 1588, 3098, 12, 7266, 42380, 7937, 13, 198, 198, 2202, 2795, 1987, 11, 10249, 11, 262, 41056, 373, 15009, 422, 262, 5249, 11742, 286, 262, 7570, 8565, 11, 595, 12026, 290, 25121, 284, 262, 29673, 57, 12, 1065, 706, 11315, 656, 257, 12462, 29069, 441, 13, 1550, 2795, 2808, 11, 9656, 11, 262, 12462, 37658, 547, 15009, 422, 262, 8341, 286, 262, 8565, 7937, 287, 4637, 351, 262, 7585, 284, 5923, 12861, 329, 41928, 290, 5466, 13, 198, 198, 2202, 2693, 767, 11, 8735, 11, 29673, 57, 12, 1065, 373, 2702, 284, 281, 1605, 1664, 329, 7720, 656, 6147, 13, 198, 198, 19927, 198, 198, 818, 3394, 198, 198, 41506, 6117, 198, 220, 198, 220, 198, 29352, 286, 262, 4074, 13, 13244, 10459, 13, 43024, 1367, 2932, 33448, 198, 198, 50, 5748, 3170, 379, 16656, 9413, 3706, 706, 8454, 4440, 1371, 198, 42, 272, 259, 12, 4871, 4117, 364, 198, 45403, 7937, 198, 34312, 1810, 4117, 364, 286, 262, 7570, 4479, 464, 1737, 21577, 9978, 286, 262, 18112, 400, 19685, 7458, 373, 281, 21548, 7297, 286, 262, 2297, 5407, 11, 262, 2368, 4326, 284, 6842, 262, 22566, 1141, 2159, 1810, 2873, 13, 198, 198, 18122, 220, 198, 198, 464, 18112, 400, 19685, 7458, 373, 7042, 319, 838, 1737, 21577, 422, 262, 6740, 358, 290, 9661, 400, 8621, 30748, 19685, 16917, 2367, 11, 636, 286, 262, 2579, 400, 5407, 286, 262, 8050, 8880, 13, 383, 7297, 3017, 262, 642, 2857, 400, 11, 642, 2920, 400, 11, 290, 44717, 400, 19685, 3310, 6800, 11, 262, 838, 2682, 400, 3683, 14920, 35588, 11, 290, 4833, 4847, 11, 302, 3500, 262, 3146, 286, 2180, 30648, 286, 262, 18112, 400, 13, 21636, 376, 88, 30530, 38962, 18198, 49037, 71, 11925, 7204, 11, 10636, 11561, 286, 262, 32647, 400, 19685, 7458, 11, 373, 9899, 11561, 13, 1550, 718, 2932, 11, 329, 366, 8601, 257, 3991, 989, 319, 262, 5249, 4028, 286, 262, 7297, 553, 49037, 71, 11925, 7204, 373, 22598, 286, 3141, 13, 383, 7297, 373, 636, 286, 262, 2579, 400, 5407, 319, 860, 2932, 618, 21636, 11899, 1031, 666, 7096 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 81, 13, 2330, 531, 837, 16755, 355, 339, 18859, 257, 38987, 1088, 465, 277, 16097, 36808, 7393, 764, 18, 289, 343, 321, 3332, 4953, 837, 351, 465, 3367, 837, 329, 465, 3656, 837, 731, 774, 837, 284, 5461, 1972, 3492, 284, 2666, 329, 262, 8073, 2151, 13, 65, 11369, 837, 465, 3367, 837, 550, 3888, 736, 287, 351, 606, 329, 262, 640, 852, 764, 258, 373, 2111, 284, 651, 257, 11762, 319, 262, 4295, 290, 7165, 1204, 326, 339, 2957, 13, 71, 343, 321, 290, 731, 774, 547, 5295, 284, 651, 683, 736, 319, 262, 826, 2610, 287, 1204, 764, 258, 373, 407, 1016, 284, 886, 510, 287, 7356, 597, 517, 764, 19, 220, 13809, 13999, 866, 262, 16046, 287, 465, 2042, 6757, 12, 33565, 431, 6050, 326, 339, 6898, 422, 618, 339, 1816, 284, 262, 1363, 4976, 9280, 938, 614, 764, 258, 705, 67, 7448, 510, 329, 1115, 1933, 287, 1502, 284, 2822, 326, 6050, 837, 691, 284, 423, 262, 2576, 10285, 683, 379, 262, 886, 286, 262, 1755, 13, 4360, 837, 326, 750, 407, 2300, 783, 326, 339, 550, 3042, 666, 2616, 13, 8499, 8161, 9110, 837, 220, 13809, 6939, 326, 339, 561, 407, 307, 1498, 284, 1494, 262, 20268, 1765, 2724, 418, 1566, 706, 262, 8073, 2151, 13, 361, 339, 547, 284, 1494, 606, 1141, 262, 8073, 2151, 837, 612, 561, 307, 1165, 867, 11432, 290, 484, 561, 760, 339, 750, 340, 764, 568, 837, 339, 3066, 326, 339, 561, 4043, 1566, 655, 706, 262, 8073, 2151, 284, 1494, 606, 764, 258, 2622, 257, 835, 284, 1805, 262, 661, 287, 262, 3240, 407, 284, 3068, 2241, 13, 568, 837, 220, 13809, 837, 852, 4047, 880, 9713, 546, 428, 3297, 286, 1517, 837, 2993, 3446, 644, 284, 466, 5145, 258, 31662, 2241, 1863, 523, 339, 561, 307, 319, 640, 329, 262, 8073, 2151, 837, 3584, 837, 339, 2993, 339, 373, 1016, 284, 307, 2739, 764, 13809, 11638, 326, 484, 561, 299, 470, 1494, 8276, 826, 572, 262, 7365, 837, 340, 561, 804, 1165, 13678, 764, 4360, 220, 13809, 2993, 326, 339, 714, 307, 2642, 837, 523, 339, 49647, 866, 262, 16046, 284, 900, 510, 465, 4958, 1410, 764, 258, 1541, 373, 5597, 351, 644, 284, 466, 706, 262, 8073, 2151, 764, 258, 550, 734, 29026, 23470, 21147, 4953, 329, 683, 14638, 262, 24484, 326, 3332, 3264, 739, 465, 14043, 4324, 13, 258, 561, 1282, 1363, 351, 465, 1641, 290, 788, 20528, 503, 284, 1494, 262, 35299, 290, 1479, 465, 1842, 422, 262, 7818, 1296, 326, 13640, 607, 764, 1219, 837, 220, 13809, 837, 1312, 5710, 33826, 1437, 572, 379, 262, 5156, 1650, 353, 705, 82, 837, 810, 673, 705, 297, 307, 10589, 262, 1755, 764, 72, 373, 7725, 345, 705, 67, 307, 1498, 284, 2298, 607, 510, 422, 262, 1110, 12, 6651, 9439, 764, 72, 760, 837, 1312, 760, 837, 340, 705, 82, 264, 3658, 837, 475, 340, 705, 82, 262, 1551, 345, 460, 466, 284, 1037, 503, 290, 2644, 764, 810, 389, 345, 1016, 837, 220, 13809, 474, 3768, 6413, 3971, 3304, 5633, 14363, 2802, 705, 82, 3809, 22188, 3421, 23755, 329, 262, 5290, 655, 355, 220, 13809, 550, 465, 1021, 319, 262, 466, 967, 34952, 837, 3492, 284, 1210, 340, 290, 2834, 262, 3420, 1280, 13, 10919, 373, 510, 351, 262, 3504, 1438, 1517, 5633, 428, 373, 262, 2368, 1110, 287, 257, 5752, 326, 465, 1995, 550, 973, 340, 319, 683, 13, 20839, 673, 1682, 407, 3774, 683, 326, 881, 5633, 392, 1521, 389, 345, 12049, 510, 588, 326, 5633, 7091, 1965, 837, 12560, 1111, 2832, 319, 607, 21497, 13, 7091, 12408, 257, 1017, 29246, 8465, 6576, 326, 550, 257, 2042, 10999, 1088, 262, 16139, 764, 7091, 705, 67, 5954, 607, 32749, 4190, 510, 351, 8253, 42835, 82, 326, 547, 4457, 6228, 2402, 607, 1182, 13, 372, 1029, 12, 258, 18449, 10012, 673, 12408, 925, 607, 3538, 1440, 611, 407, 1936, 8331, 25242, 764, 320, 1016, 284, 262, 8073, 2151, 837, 2802, 837, 220, 13809, 531, 837, 2111, 407, 284, 307, 284, 22121, 3489, 326, 339, 373, 10708, 465, 2951, 379, 607, 17698, 14153, 3450, 764, 72, 466, 407, 892, 345, 389, 29095, 393, 625, 764, 1169, 17023, 4084, 5081, 326, 691, 661, 286, 2479, 547, 9392, 284, 428, 8073, 2151, 764, 5832, 389, 284, 2652, 994, 290, 2050, 477, 1755, 890, 13, 72, 760, 345, 389, 2157, 319, 534, 1524, 1818, 2162, 345, 1276, 307, 611, 345, 4193, 442, 324, 938, 1755, 13, 5832, 760, 703, 284, 4255, 837, 523, 345, 460, 787, 3511, 8073, 351, 4232, 345, 460, 1064, 287, 612, 764, 32542, 837, 220, 13809, 19072, 764, 258, 750, 407, 588, 11313, 278, 465, 2802, 837, 475, 339, 550, 284, 611, 339, 373, 1016, 284, 1949, 407, 284, 307, 2739, 764, 10919, 318, 340, 837, 1862, 582, 5633, 7091, 1965, 837, 22655, 2138, 25602, 5600, 764, 72, 1392, 616, 898, 17023, 837, 339, 5081, 837, 290, 5954, 340, 503, 286, 465, 10000, 284, 905, 607, 13, 7091, 26197, 262, 3850, 503, 286, 465, 2832, 837, 3555, 340, 290, 1642, 257, 1256, 286, 289, 76, 907, 290, 1311, 82, 764, 548, 880, 837, 345, 460, 467, 764, 8499, 477, 837, 1312, 760, 345, 714, 429, 423, 49184, 262, 44396, 837, 663, 1165, 32973, 298, 329, 534, 9015, 12692, 284, 8996, 351, 764, 14363, 2802, 2900, 290, 6807, 1497, 764, 13809, 2936, 588, 42028, 465, 2832, 1028, 262, 3355, 287, 14285, 837, 3737, 772, 5137, 257, 7604, 287, 262, 3355, 13, 22850, 714, 429, 465, 2802, 1683, 655, 307, 3621, 284, 683, 5633, 82, 18865, 837, 220, 13809, 705, 82, 2612, 40424, 510, 837, 290, 339, 26843, 1088, 290, 4966, 287, 706, 465, 2802, 764, 32542, 837, 345, 1275, 299, 470, 467, 284, 262, 8073, 2151, 5145, 258, 33552, 837, 23256, 607, 416, 607, 12450, 764, 13809, 3971, 3304, 5145, 5832, 1309, 467, 286, 502, 783, 5145, 10919, 705, 82, 7891, 656, 345, 5633, 32542, 837, 262, 20268, 1765, 2724, 418, 389, 845, 2089, 661, 290, 837, 880, 345, 655, 815, 299, 470, 467, 5145, 10919, 611, 1223, 4325, 284, 345, 5633, 3003, 481, 33826, 1437, 290, 1312, 307, 1231, 345, 290, 9955, 5633, 32542, 837, 1312, 1275 ]

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

[ 1869, 47536, 6081, 48395, 198, 33, 7637, 84, 609, 4066, 355, 28113, 198, 311, 12151, 38594, 355, 43305, 26436, 198, 49, 1219, 5362, 355, 6866, 78, 6592, 220, 198, 33, 11392, 805, 392, 321, 355, 23471, 198, 1925, 282, 499, 44202, 48395, 355, 47382, 76, 541, 7246, 338, 8402, 198, 49, 439, 499, 36546, 355, 28793, 343, 6893, 198, 24597, 26436, 355, 9719, 272, 48395, 198, 27365, 5599, 13308, 84, 355, 15411, 220, 198, 41, 11729, 350, 17716, 1077, 2297, 9892, 355, 569, 10961, 198, 41, 1453, 6862, 355, 11314, 9892, 198, 18254, 13308, 5069, 355, 40992, 360, 13415, 6862, 26105, 198, 36534, 7567, 17053, 355, 40992, 6866, 78, 6592, 198, 198, 21369, 11659, 198, 198, 22648, 13160, 416, 46620, 4108, 18270, 13, 7849, 2716, 319, 36239, 13491, 5834, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 25475, 7328, 198, 30821, 7328, 198, 11928, 907, 7781, 416, 509, 13, 46620, 4108, 18270, 198, 23664, 82, 12088, 45284, 12, 16129, 7328, 464, 4153, 400, 14538, 27749, 357, 35452, 276, 8, 357, 1507, 2414, 1906, 1507, 2996, 8, 373, 257, 21900, 5407, 5628, 276, 27749, 34792, 1141, 262, 1605, 7511, 1810, 13, 220, 2893, 10435, 416, 262, 1812, 12842, 5926, 355, 281, 21548, 34792, 11, 262, 4326, 373, 12623, 329, 7886, 338, 11565, 38076, 290, 373, 8720, 11032, 355, 12623, 21548, 13, 14444, 284, 663, 12623, 3722, 11, 262, 4326, 318, 3360, 6412, 284, 355, 262, 4153, 400, 14538, 21753, 563, 618, 257, 29052, 22566, 318, 973, 13, 220, 383, 4326, 318, 749, 1690, 6412, 284, 355, 2035, 12400, 263, 338, 14538, 21753, 563, 35588, 393, 11264, 338, 14538, 21753, 563, 35588, 11, 706, 663, 734, 22576, 13, 220, 2293, 262, 1175, 867, 1966, 1866, 6412, 284, 262, 34792, 355, 366, 2484, 8770, 338, 21753, 563, 1, 780, 286, 262, 1588, 1271, 286, 3790, 290, 1450, 508, 550, 4271, 4983, 287, 21636, 371, 13, 402, 13, 911, 8770, 338, 767, 400, 14538, 27749, 35588, 290, 4353, 400, 14538, 27749, 35588, 11, 475, 21636, 911, 8770, 373, 1239, 1682, 3917, 351, 262, 4326, 13, 198, 198, 26121, 1634, 198, 818, 1737, 1248, 2414, 11, 3611, 7212, 440, 13, 35053, 12030, 26315, 14538, 11, 880, 2157, 4479, 5407, 3951, 13, 220, 554, 1903, 2795, 1248, 2414, 11, 3611, 35053, 20462, 21636, 5658, 11582, 5108, 2433, 11, 1871, 1854, 11, 284, 2221, 8620, 842, 6800, 287, 26315, 14538, 13, 220, 2750, 2795, 1511, 11, 35053, 2098, 284, 3611, 23647, 7886, 326, 5108, 2433, 338, 4040, 547, 14121, 8234, 13, 198, 198, 5216, 26261, 5108, 2433, 338, 4040, 2957, 284, 262, 19624, 286, 379, 1551, 1115, 842, 6800, 11, 262, 4153, 400, 11, 6337, 400, 220, 220, 290, 6298, 400, 14538, 27749, 3310, 6800, 13, 2312, 2319, 12, 25076, 842, 6800, 19954, 4632, 286, 762, 6519, 82, 11, 290, 13717, 2841, 422, 4683, 4991, 11, 8389, 1088, 257, 1402, 20603, 260, 286, 11255, 6496, 422, 21548, 842, 6800, 11, 543, 547, 2938, 284, 307, 21696, 1141, 262, 2121, 290, 7374, 286, 1248, 2414, 13, 198, 198, 464, 24030, 11500, 286, 41579, 329, 14260, 287, 1248, 2414, 2957, 262, 21900, 3602, 12, 17140, 747, 12715, 2732, 284, 2071, 281, 1502, 386, 1416, 23098, 262, 8620, 286, 3224, 12623, 842, 6800, 287, 14538, 13, 2102, 11, 618, 3611, 23647, 7886, 2722, 19601, 284, 3189, 257, 1923, 287, 11565, 326, 2121, 11, 1811, 286, 262, 649, 842, 6800, 547, 12623, 287, 1502, 284, 13873, 683, 13, 1081, 257, 1255, 11, 262, 5846, 400, 11, 4153, 400, 11, 6337, 400, 11, 6298, 400, 11, 290, 4764, 400, 547, 8720, 12623, 21548, 842, 6800, 2427, 286, 30891, 842, 6800, 13, 1119, 547, 8365, 6412, 284, 287, 11811, 3136, 290, 6266, 416, 29052, 22566, 13, 7886, 6412, 284, 606, 355, 1982, 10082, 21067, 338, 21753, 563, 11, 32379, 21048, 338, 21753, 563, 11, 3503, 1539, 543, 4191, 8724, 287, 511, 1568, 852, 6412, 284, 355, 5846, 400, 21753, 563, 11, 6337, 400, 21753, 563, 11, 3503, 13, 198, 198, 464, 4326, 373, 13160, 286, 2706, 422, 262, 1708, 14683, 25, 198, 198, 39154, 317, 11, 373, 6198, 22419, 416, 8599, 449, 13, 22892, 10899, 290, 373, 8389, 287, 20153, 3418, 11, 379, 393, 1474, 29357, 746, 333, 4631, 13, 6363, 1866, 547, 41889, 5085, 286, 2635, 5866, 11, 4403, 24530, 290, 2619, 5866, 8329, 26313, 286, 20153, 3418, 13, 632, 373, 29209, 379, 6612, 634, 416, 21586, 1757, 10805, 22605, 13, 198, 198, 39154, 347, 11, 22419, 416, 8599, 1757, 337, 13, 6446, 11, 373, 8389, 379, 6612, 634, 11, 290, 663, 1866, 547, 41889, 5085, 286, 20153, 3418, 11, 4632, 422, 4302, 11, 4403, 24530, 11, 2635, 5866, 290, 2619, 5866, 8329, 26313, 13, 317, 1178, 1450, 422, 15375, 32115, 286, 6612, 3418, 547, 635, 18724, 287, 428, 1664, 13, 198, 198, 39154, 327, 11, 22419, 416, 8599, 20700, 370, 1236, 11, 373, 8389, 287, 13914, 3418, 11, 379, 393, 1474, 31867, 48747, 357, 259, 1944, 22835, 3418, 737, 220, 4650, 286, 262, 1450, 287, 428, 1664, 1625, 422, 262, 8830, 636, 286, 13914, 3418, 11, 326, 636, 543, 2627, 22835, 3418, 287, 1248, 3104, 13, 198, 198, 39154, 360, 11, 22419, 416, 8599, 9659, 399, 274, 65, 715, 373, 4376, 287, 7840, 6612, 3418, 290, 743, 423, 587, 8389, 379, 2574, 1655, 393, 1979, 33487, 11, 287, 14506, 32115, 13, 632, 373, 13160, 7525, 286, 1450, 422, 14506, 32115, 13, 8599, 399, 274, 65, 715, 290, 1811, 584, 1866, 286, 262, 1664, 550, 4271, 4983, 287, 21636, 5658, 367, 13, 5108, 2433, 338, 3261, 301, 14538, 27749, 35588, 355, 1866, 286, 5834, 317, 13, 357, 5216, 13, 3700, 370, 13, 11264, 550, 635, 4983, 355, 281, 3818, 286, 428, 1664, 2014, 383, 3261, 301, 4983, 7627, 286, 262, 13797, 11, 290, 867, 286, 663, 1450, 550, 4504, 1363, 319, 277, 6371, 619, 82, 290, 547, 5906, 284, 302, 22179, 511, 4991, 287, 1248, 2414, 393, 550, 2722, 14013, 595, 34948, 13, 198, 198, 39154, 412, 11, 22419, 416, 8599, 17100, 371, 13, 44649, 9107, 11, 373, 8389, 287, 20153, 3418, 11, 663, 1866, 2406, 7525, 422, 2619, 5866, 11, 402, 1299, 21513, 11, 2635, 5866, 290, 36131, 695, 8329, 26313, 13, 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 ]

[ 12, 13959, 12, 13571, 15745, 82, 805, 12, 7635, 43974, 282, 322, 3170, 287, 35145, 1906, 1415, 13, 220, 632, 468, 257, 1336, 12, 10394, 33179, 13, 220, 6363, 7872, 17214, 7714, 389, 8104, 287, 2491, 6314, 13, 220, 632, 468, 366, 430, 260, 16396, 290, 1085, 276, 12, 20721, 11536, 1222, 15745, 82, 12, 7635, 9168, 1600, 262, 4025, 3392, 9593, 6727, 264, 7465, 351, 7542, 15397, 12, 7635, 16396, 7588, 13, 198, 198, 19927, 198, 198, 7437, 15745, 82, 805, 10959, 287, 10202, 198, 16186, 17296, 286, 30426, 37291, 287, 34088, 3418, 11, 10202, 32661, 879, 287, 262, 4401, 286, 262, 21038, 318, 262, 8886, 5062, 416, 262, 1605, 21274, 46909, 48982, 396, 32839, 39086, 35759, 6264, 287, 16450, 290, 2716, 416, 262, 4216, 4102, 6167, 13, 198, 198, 3041, 4516, 198, 198, 3237, 28965, 37823, 4422, 22016, 5081, 366, 41910, 25775, 318, 257, 1263, 636, 286, 12612, 499, 283, 46213, 32839, 39086, 35759, 338, 11054, 879, 287, 262, 4401, 286, 262, 21038, 11, 257, 21840, 2641, 14, 43435, 3128, 326, 318, 15242, 465, 18822, 11, 749, 6393, 5062, 13, 50096, 287, 16450, 11, 428, 47943, 44, 6833, 29264, 257, 1256, 284, 262, 8557, 2647, 286, 262, 6046, 3687, 11, 7229, 11, 290, 5478, 11, 290, 612, 389, 1661, 618, 262, 4842, 46909, 48982, 396, 635, 32067, 1196, 415, 12, 19977, 68, 21274, 351, 12547, 1605, 4847, 13, 220, 2644, 11054, 879, 318, 1690, 47080, 415, 1231, 1683, 852, 26435, 436, 10051, 20803, 13, 2644, 39086, 35759, 468, 257, 1256, 284, 307, 6613, 286, 11, 475, 611, 345, 547, 3614, 284, 23107, 691, 530, 286, 465, 16788, 11, 11054, 879, 561, 307, 262, 1266, 3572, 1911, 198, 198, 2202, 1439, 7994, 21406, 11, 20893, 8121, 531, 366, 32661, 879, 743, 423, 587, 1982, 818, 20760, 260, 338, 717, 6246, 355, 257, 3554, 11, 475, 262, 2647, 290, 17245, 1056, 7800, 262, 1317, 286, 257, 3190, 15345, 2137, 422, 262, 30761, 13, 18247, 284, 262, 33321, 641, 1799, 286, 262, 3128, 318, 257, 508, 338, 508, 286, 47943, 44, 4334, 43775, 319, 1021, 284, 22096, 511, 18054, 284, 262, 1541, 24372, 7325, 5933, 1911, 198, 198, 41, 8101, 28595, 6, 21867, 14372, 4367, 366, 1712, 22054, 481, 423, 2982, 1576, 286, 262, 31138, 3918, 286, 4502, 367, 1127, 706, 530, 2610, 319, 11054, 879, 287, 262, 4401, 286, 262, 21038, 290, 11, 12716, 11, 612, 389, 1115, 287, 2472, 11, 4844, 286, 543, 651, 4577, 284, 6004, 284, 351, 262, 10066, 286, 640, 13, 770, 373, 281, 18470, 326, 1392, 12666, 503, 319, 530, 1735, 11, 355, 2279, 2073, 546, 340, 318, 1049, 13, 383, 890, 31083, 18389, 318, 257, 35825, 26, 340, 3033, 884, 29763, 3166, 355, 19632, 4176, 11, 4434, 14299, 34395, 669, 11, 1757, 41135, 903, 3245, 290, 43923, 396, 39869, 64, 36303, 500, 25434, 13, 39086, 35759, 338, 3478, 273, 3918, 318, 1913, 290, 880, 5447, 13, 383, 922, 3404, 994, 318, 2861, 4854, 26, 655, 779, 262, 14267, 4936, 329, 262, 1854, 1911, 198, 198, 24802, 13487, 198, 3237, 33543, 416, 32839, 39086, 35759, 198, 366, 5606, 578, 25, 2039, 15140, 5896, 532, 22212, 1840, 1, 784, 352, 25, 3070, 198, 366, 5606, 578, 25, 2039, 15140, 5896, 532, 509, 66, 397, 2295, 1219, 1, 784, 642, 25, 1954, 198, 366, 5606, 578, 25, 2039, 15140, 5896, 532, 32217, 32677, 1, 784, 362, 25, 1828, 198, 366, 5606, 578, 25, 2039, 15140, 5896, 532, 5155, 5221, 1, 784, 513, 25, 4309, 198, 366, 5606, 578, 25, 2039, 15140, 5896, 532, 11054, 879, 287, 262, 4401, 286, 262, 21038, 1, 784, 362, 25, 4349, 198, 366, 5606, 578, 25, 2039, 15140, 20341, 197, 12, 7884, 12200, 1220, 13816, 257, 33189, 329, 1220, 3806, 3423, 357, 1532, 17462, 10358, 4889, 8, 1220, 24164, 1220, 347, 1042, 359, 993, 1, 784, 678, 25, 2231, 198, 198, 15439, 4954, 198, 44, 2899, 501, 39086, 35759, 532, 3478, 273, 46909, 38656, 11, 10212, 42504, 11, 12718, 11, 30987, 11, 256, 4131, 454, 500, 198, 3123, 78, 4176, 784, 40334, 11, 781, 1018, 417, 25311, 357, 11659, 718, 8, 198, 7554, 41135, 903, 3245, 784, 264, 404, 35823, 46909, 38656, 357, 11659, 718, 8, 198, 32, 1084, 64, 36303, 500, 25434, 784, 19132, 357, 11659, 718, 8, 198, 15029, 14299, 34395, 669, 11, 337, 354, 8130, 471, 7012, 784, 12702, 198, 32, 9491, 321, 84, 11, 36975, 805, 36933, 784, 24730, 220, 198, 20191, 367, 1127, 784, 25355, 357, 46074, 352, 12, 20, 8, 198, 198, 19927, 198, 198, 13856, 4102, 13407, 16788, 198, 38391, 16788, 198, 41428, 499, 283, 46213, 32839, 39086, 35759, 16788, 198, 2348, 4435, 82, 4635, 416, 5811, 509, 3028, 353, 464, 13130, 43676, 9957, 5454, 357, 5777, 5454, 8, 373, 262, 2808, 400, 8313, 286, 18402, 5454, 13, 383, 7756, 2067, 351, 262, 3624, 6809, 422, 262, 13130, 43676, 9952, 4041, 13, 383, 256, 1798, 321, 3262, 373, 1839, 416, 399, 9189, 508, 9772, 1778, 6862, 287, 262, 2457, 416, 362, 12, 16, 13, 198, 198, 6767, 4105, 220, 198, 464, 3624, 3466, 422, 13130, 43676, 9952, 4041, 14888, 287, 262, 13130, 18402, 5454, 13, 198, 198, 34363, 1187, 198, 198, 13247, 15371, 220, 198, 464, 807, 3466, 547, 6626, 287, 734, 2628, 351, 1440, 3466, 1123, 13, 383, 1353, 734, 6190, 284, 32948, 1292, 13, 198, 198, 13247, 317, 198, 198, 25468, 198, 198, 13247, 347, 198, 198, 25468, 198, 198, 13900, 72, 19705, 198, 198, 18, 4372, 8474, 13225, 198, 198, 19006, 198, 198, 6214, 635, 220, 198, 13130, 569, 375, 1878, 505, 14017, 4041, 198, 13130, 43676, 9952, 4041, 198, 13130, 43676, 5838, 286, 262, 12056, 198, 198, 19927, 198, 198, 41506, 6117, 198, 49, 5432, 20802, 198, 198, 37, 20770, 9957, 5396, 5454, 9595, 198, 24064, 286, 262, 12056, 464, 5878, 8437, 43811, 3071, 1718, 1295, 319, 3389, 718, 290, 3389, 1511, 11, 5878, 284, 1742, 262, 9591, 286, 8437, 11, 4744, 13, 383, 3071, 373, 8720, 42157, 11, 290, 2714, 287, 17856, 351, 584, 1748, 7024, 13, 44745, 26899, 1839, 11, 38478, 803, 23526, 9591, 5689, 1879, 15578, 290, 635, 21320, 1966, 9591, 32839, 19130, 2634, 13, 198, 198, 25468, 198, 198, 5962, 2835 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3854, 319, 7897, 23121, 18518, 13, 198, 198, 11522, 24188, 198, 464, 3265, 1816, 422, 513, 11, 31575, 6823, 17622, 287, 21489, 284, 767, 1558, 287, 10249, 2233, 284, 262, 13472, 286, 663, 17622, 13, 554, 2274, 812, 4718, 293, 84, 468, 1716, 281, 10966, 10965, 329, 357, 12417, 306, 8, 3517, 4290, 11, 543, 468, 17687, 262, 1207, 404, 1741, 11, 523, 326, 287, 2813, 340, 550, 352, 11, 28460, 17622, 286, 543, 5433, 13, 16, 4, 547, 286, 3215, 29835, 11, 2158, 11, 416, 2864, 262, 3785, 550, 9292, 284, 4353, 13, 18, 7225, 198, 198, 32, 3084, 4478, 262, 2620, 287, 262, 1271, 286, 3215, 5085, 1201, 4751, 13, 198, 198, 32065, 198, 7762, 12685, 666, 290, 7897, 389, 262, 734, 1743, 8950, 13, 198, 198, 32, 21493, 284, 4718, 293, 84, 318, 1884, 284, 8791, 734, 8950, 852, 973, 329, 19748, 1088, 262, 3240, 290, 287, 262, 10384, 284, 262, 3240, 6899, 26, 220, 777, 389, 3254, 12685, 666, 290, 3594, 13, 554, 3090, 11, 262, 3240, 6899, 24803, 257, 6868, 3594, 10834, 284, 35388, 786, 351, 19670, 13, 198, 198, 28489, 88, 198, 7003, 14510, 357, 12417, 306, 48793, 290, 25776, 1083, 8, 318, 991, 287, 3357, 11, 340, 318, 407, 355, 1593, 355, 340, 373, 287, 262, 938, 4289, 290, 1909, 262, 3034, 2723, 286, 4718, 293, 84, 8338, 4632, 319, 262, 2594, 6567, 13, 198, 198, 6892, 293, 84, 550, 1987, 11, 39111, 5584, 5672, 319, 663, 7881, 287, 3648, 2233, 284, 257, 1588, 4038, 1687, 49099, 852, 3432, 416, 262, 3240, 6899, 13, 770, 1602, 689, 284, 2242, 5006, 583, 14527, 415, 1642, 340, 262, 27264, 351, 262, 4387, 1271, 286, 6823, 5672, 583, 21344, 287, 8602, 13, 198, 198, 9069, 2886, 290, 4113, 286, 1393, 198, 6892, 293, 84, 11312, 13, 770, 24395, 12, 7, 11, 1267, 318, 257, 27264, 287, 262, 220, 286, 837, 34745, 12427, 11, 35773, 11, 8602, 13, 198, 198, 18122, 198, 1026, 550, 587, 16164, 284, 4158, 390, 12, 39748, 290, 1568, 302, 12, 39748, 416, 281, 5000, 1180, 3234, 286, 661, 13, 220, 1629, 262, 640, 286, 262, 7897, 41162, 340, 373, 9958, 618, 262, 4632, 31451, 680, 3265, 4966, 1497, 13, 198, 198, 1026, 373, 302, 12, 12924, 4817, 416, 35014, 30962, 286, 16618, 273, 6888, 11, 508, 1718, 625, 262, 256, 11137, 593, 20073, 290, 2900, 340, 656, 257, 7404, 13, 220, 317, 3254, 12685, 666, 8440, 7842, 378, 287, 3025, 288, 1229, 282, 7386, 262, 8598, 7674, 286, 14110, 65, 8107, 19611, 11, 373, 2950, 287, 11091, 24424, 3292, 1022, 262, 22779, 290, 262, 8528, 451, 291, 14807, 13, 220, 42609, 278, 22333, 319, 262, 503, 3526, 7002, 11, 339, 1690, 3181, 736, 262, 572, 282, 4635, 329, 257, 7630, 13, 220, 16618, 273, 5171, 2042, 44670, 373, 257, 7194, 706, 8675, 1590, 287, 35773, 11, 852, 2407, 7310, 422, 1957, 20328, 13, 220, 3244, 340, 5091, 284, 683, 326, 611, 339, 1234, 16618, 24449, 504, 287, 530, 286, 465, 9958, 15425, 290, 1392, 606, 284, 787, 262, 2042, 44670, 612, 11, 339, 714, 3613, 262, 1575, 286, 4839, 290, 2824, 28393, 355, 880, 13, 220, 220, 1406, 339, 788, 14338, 257, 15892, 286, 22333, 503, 290, 257, 15892, 286, 31889, 12, 10297, 1242, 26100, 736, 11, 1718, 606, 510, 656, 262, 18639, 11, 3751, 606, 262, 6565, 7404, 290, 2921, 340, 284, 606, 329, 1479, 13, 1119, 547, 257, 1327, 88, 1256, 290, 2582, 257, 36856, 2831, 9194, 477, 5642, 286, 12967, 279, 4185, 654, 290, 473, 385, 1095, 26, 2042, 11, 2266, 290, 2330, 11, 373, 46240, 13, 220, 1119, 991, 2152, 1909, 11, 1642, 837, 220, 290, 764, 198, 198, 19927, 198, 198, 44, 9462, 27969, 287, 262, 22783, 286, 34745, 12427, 198, 7676, 1437, 8999, 844, 64, 198, 18122, 286, 16618, 273, 6888, 198, 20044, 2304, 418, 43, 6, 2348, 66, 5799, 357, 318, 257, 27264, 287, 262, 401, 5605, 64, 286, 978, 9948, 265, 35942, 11, 3254, 12685, 666, 8108, 11, 8602, 13, 198, 198, 18122, 198, 2898, 2114, 286, 1692, 4931, 287, 262, 1989, 3128, 422, 262, 19461, 7129, 13, 4418, 1944, 389, 3793, 422, 262, 314, 527, 666, 11, 7993, 290, 31451, 680, 9337, 11, 262, 6846, 1390, 262, 16669, 11, 543, 3607, 262, 1438, 284, 406, 6, 2348, 66, 5799, 338, 401, 5605, 64, 13, 383, 28757, 373, 8195, 421, 1068, 416, 262, 9316, 287, 1105, 2091, 11, 706, 543, 262, 1459, 3240, 2067, 284, 4292, 379, 262, 9307, 286, 262, 28757, 338, 2180, 33534, 13, 198, 198, 13383, 21343, 198, 19248, 293, 286, 978, 9948, 265, 35942, 357, 940, 400, 12, 1485, 400, 10675, 828, 257, 31451, 680, 28757, 1568, 9518, 706, 262, 4302, 29179, 13, 632, 468, 281, 21388, 46963, 1410, 11, 351, 734, 1588, 18028, 13, 198, 9360, 2781, 496, 286, 520, 13, 18653, 357, 1314, 4089, 8, 198, 9360, 2781, 496, 286, 520, 13, 12803, 357, 1558, 400, 4289, 8, 198, 40, 527, 666, 9443, 286, 5575, 10793, 6557, 198, 21926, 1431, 607, 2781, 496, 286, 2574, 26482, 198, 44, 6744, 286, 17419, 321, 873, 357, 41861, 19239, 286, 43757, 5799, 24685, 1240, 8, 198, 198, 19927, 198, 198, 41506, 6117, 198, 9876, 379, 262, 9852, 396, 72, 10005, 286, 262, 3254, 12685, 666, 8108, 220, 198, 198, 44, 9462, 27969, 287, 262, 22783, 286, 5833, 695, 18840, 198, 2348, 9948, 265, 35942, 2953, 4801, 17167, 1619, 6669, 395, 10366, 393, 1215, 15201, 17167, 318, 257, 27264, 287, 262, 401, 5605, 64, 286, 978, 9948, 265, 35942, 11, 5833, 695, 10205, 11, 35773, 13, 198, 198, 44, 9462, 27969, 287, 262, 22783, 286, 34745, 12427, 198, 2348, 9948, 265, 35942, 11696, 1878, 328, 418, 318, 257, 27264, 287, 262, 401, 5605, 64, 286, 978, 9948, 265, 35942, 11, 5833, 695, 18840, 22783, 11, 35773, 11, 8602, 13, 198, 198, 464, 7404, 318, 5140, 379, 1029, 20334, 1022, 262, 5575, 75, 293, 10205, 5866, 290, 262, 7431, 2436, 64, 390, 3932, 1878, 328, 418, 13, 383, 4258, 286, 262, 7404, 318, 29843, 351, 890, 11, 4692, 45764, 290, 3024, 43285, 11, 262, 5951, 1141, 262, 1755, 319, 3931, 1528, 318, 15497, 996, 13, 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 ]

[ 546, 2279, 584, 621, 262, 5186, 4203, 339, 2727, 351, 262, 24043, 3638, 764, 72, 373, 299, 470, 2407, 1654, 644, 1312, 373, 1804, 837, 475, 616, 1767, 1718, 262, 1085, 764, 1820, 19445, 5636, 388, 1150, 837, 290, 616, 2612, 35292, 618, 465, 1021, 27803, 284, 616, 19353, 764, 5661, 373, 2642, 837, 475, 340, 635, 2936, 523, 8131, 826, 764, 64, 13589, 12539, 837, 290, 1312, 13665, 9091, 736, 837, 3016, 7463, 572, 262, 38753, 764, 29482, 284, 616, 9961, 837, 1995, 6204, 739, 257, 10938, 277, 1142, 837, 257, 1336, 5405, 286, 2266, 8122, 287, 607, 1021, 764, 15506, 340, 705, 82, 2739, 837, 5006, 261, 837, 10148, 673, 531, 837, 2951, 290, 8216, 4692, 764, 15506, 1312, 892, 340, 705, 82, 640, 326, 345, 1182, 1363, 764, 10148, 66, 12613, 27803, 502, 257, 2068, 8212, 355, 339, 6204, 764, 15506, 7926, 837, 285, 3808, 13, 1216, 47699, 837, 1312, 750, 299, 470, 4003, 262, 640, 764, 10148, 7091, 14464, 1090, 83, 306, 764, 258, 27846, 379, 502, 625, 465, 8163, 764, 15506, 766, 345, 379, 1524, 837, 6072, 764, 10148, 1820, 25839, 2936, 355, 611, 484, 547, 319, 2046, 355, 1312, 6204, 764, 72, 2227, 284, 2513, 683, 503, 837, 475, 339, 550, 1541, 12120, 1088, 262, 5228, 764, 43012, 1568, 837, 257, 3420, 4721, 290, 4838, 764, 72, 705, 67, 6635, 25669, 510, 465, 640, 12, 258, 550, 299, 470, 772, 8672, 629, 1252, 764, 15506, 644, 389, 345, 1804, 837, 6072, 32589, 5633, 10148, 72, 1718, 2769, 8033, 764, 15506, 1312, 373, 6600, 4771, 8566, 764, 10148, 15506, 466, 299, 470, 711, 34003, 351, 502, 764, 10148, 15506, 1312, 705, 76, 407, 2712, 34003, 351, 345, 837, 1995, 764, 72, 373, 6600, 4771, 8566, 351, 5006, 261, 764, 10919, 705, 82, 262, 1263, 1730, 5633, 10148, 72, 2900, 616, 736, 284, 607, 290, 6497, 510, 674, 34796, 837, 6872, 606, 284, 262, 14595, 764, 15506, 340, 705, 82, 407, 588, 12, 10148, 7559, 1312, 705, 76, 407, 1654, 1312, 772, 760, 345, 7471, 837, 10148, 673, 531, 837, 3809, 5381, 355, 673, 900, 607, 5405, 319, 262, 2318, 764, 15506, 734, 2745, 2084, 837, 356, 561, 299, 470, 307, 1719, 428, 5273, 764, 10148, 15506, 10194, 837, 290, 734, 2745, 2084, 837, 1312, 373, 257, 2472, 21551, 764, 10148, 8727, 5729, 550, 281, 2104, 1524, 1336, 286, 5775, 764, 15506, 523, 611, 852, 257, 36597, 1048, 318, 257, 6175, 1309, 2902, 284, 345, 837, 345, 705, 260, 655, 1016, 284, 423, 284, 1730, 764, 10148, 15506, 428, 318, 299, 470, 546, 345, 852, 3621, 764, 10148, 7091, 3940, 502, 284, 262, 14595, 837, 21500, 262, 34796, 503, 286, 616, 1021, 764, 505, 2277, 262, 25704, 7771, 290, 11686, 284, 262, 1735, 837, 262, 584, 6626, 656, 734, 1588, 22716, 286, 37973, 764, 301, 403, 2817, 837, 1312, 18484, 510, 379, 607, 764, 15506, 345, 705, 260, 1016, 284, 16866, 534, 1204, 837, 1972, 2950, 351, 6510, 588, 326, 764, 10148, 72, 9763, 510, 764, 15506, 1995, 837, 356, 547, 655, 3375, 764, 10148, 15506, 326, 705, 82, 407, 644, 340, 3114, 588, 284, 502, 764, 10148, 372, 25839, 547, 44869, 262, 976, 3124, 355, 607, 23938, 698, 1076, 764, 15506, 6510, 588, 683, 12, 10148, 7559, 612, 318, 299, 470, 1997, 2642, 351, 5006, 261, 5145, 10148, 72, 31782, 1613, 607, 837, 407, 10291, 284, 7267, 764, 1662, 588, 1312, 750, 299, 470, 423, 1576, 2761, 1231, 1972, 656, 257, 17755, 41014, 2902, 351, 607, 764, 15506, 1312, 705, 76, 10032, 12, 10148, 7559, 466, 299, 470, 787, 262, 976, 7457, 1312, 750, 837, 10148, 673, 531, 287, 257, 1877, 837, 8523, 35282, 3809, 837, 18216, 41408, 50017, 764, 1820, 2951, 36405, 351, 6380, 764, 15506, 644, 5633, 10919, 318, 326, 4385, 284, 1612, 5633, 10148, 15506, 340, 857, 299, 470, 2300, 764, 10148, 372, 18728, 31213, 572, 262, 1327, 3822, 18570, 764, 15506, 1312, 24486, 299, 470, 423, 345, 18997, 3511, 597, 2252, 764, 270, 705, 82, 2089, 1576, 12, 10148, 7559, 340, 705, 82, 2089, 1576, 644, 837, 1995, 5633, 10148, 72, 30712, 1088, 764, 1416, 1809, 262, 407, 12, 26594, 636, 764, 37814, 29939, 510, 2641, 502, 837, 45085, 625, 1566, 477, 1312, 2936, 12, 439, 1312, 2993, 12, 9776, 8993, 764, 15506, 716, 1312, 991, 281, 24655, 284, 345, 5633, 533, 477, 534, 2460, 3375, 5633, 16341, 783, 484, 705, 260, 3375, 546, 644, 3022, 284, 502, 12, 1462, 30606, 494, 5633, 4919, 7818, 340, 1276, 307, 329, 345, 764, 10148, 372, 2951, 33214, 764, 15506, 389, 345, 1654, 345, 466, 299, 470, 423, 534, 9846, 736, 5633, 13893, 428, 5238, 22121, 5385, 837, 6072, 32589, 764, 10148, 15506, 857, 340, 5633, 5562, 705, 82, 1049, 764, 10148, 72, 3088, 284, 32221, 1613, 607, 837, 475, 12270, 673, 373, 2068, 837, 12013, 502, 764, 2301, 1186, 2900, 262, 5104, 4657, 286, 4077, 287, 607, 2951, 18646, 764, 15506, 1312, 705, 76, 7926, 837, 6029, 494, 764, 23108, 286, 428, 318, 534, 8046, 764, 3919, 2300, 644, 3022, 393, 644, 345, 1244, 423, 1760, 837, 4844, 286, 428, 318, 534, 8046, 764, 10148, 39563, 374, 3974, 992, 832, 502, 355, 616, 1995, 2900, 1497, 764, 72, 2982, 607, 2245, 416, 262, 20030, 13447, 837, 290, 1312, 2993, 673, 373, 2263, 262, 9294, 351, 607, 764, 259, 257, 288, 6201, 837, 1312, 1364, 262, 9592, 290, 2497, 616, 9955, 5055, 612, 764, 258, 3114, 1497, 837, 2951, 4838, 290, 4772, 82, 9230, 808, 276, 764, 15506, 6072, 32589, 12, 10148, 7559, 673, 6834, 1312, 750, 340, 5633, 10148, 1820, 3809, 373, 1402, 837, 8169, 17208, 764, 15506, 673, 6834, 1312, 750, 1223, 284, 30606, 494, 5633, 10148, 15506, 645, 764, 10148, 14363, 2951, 2823, 1280, 3094, 764, 15506, 645, 837, 673, 857, 299, 470, 892, 1997, 588, 326, 764, 7091, 705, 82, 655, 10032, 837, 290, 477, 262, 5503, 468, 2644, 468, 5676, 607, 764, 14108, 1995, 318, 299, 470, 2644, 10148, 339, 14682, 465, 1182, 764, 15506, 673, 857, 299, 470, 892, 326, 764, 10148, 44460, 286, 683, 284, 1949, 284, 11508, 502, 837, 475, 1312, 750, 299, 470, 1975, 683, 764, 15506, 466, 345 ]

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

[ 26456, 198, 16643, 2741, 389, 287, 10758, 2420, 13, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 23999, 784, 12674, 198, 14801, 2550, 784, 309, 2194, 40414, 198, 17155, 4373, 784, 17349, 0, 986, 56, 64, 9365, 632, 0, 198, 46884, 5437, 784, 5157, 319, 262, 9726, 198, 17461, 35464, 1214, 784, 383, 6705, 286, 17461, 35464, 1214, 986, 383, 6705, 286, 5896, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 23999, 784, 15396, 198, 28111, 6612, 784, 45757, 8741, 1248, 1415, 198, 38739, 31974, 784, 16160, 351, 2185, 198, 49523, 406, 1078, 271, 707, 784, 1867, 921, 10664, 198, 26085, 19790, 784, 5995, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 23999, 784, 4912, 11, 10243, 11, 393, 36086, 198, 8653, 2873, 8653, 784, 6289, 40184, 4709, 13, 1881, 198, 14089, 360, 290, 262, 6387, 89, 784, 4403, 7039, 1326, 198, 33412, 290, 48535, 30633, 784, 4243, 2584, 8653, 198, 9212, 72, 6656, 50173, 784, 7430, 921, 9365, 632, 338, 6407, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 14206, 784, 12674, 198, 17461, 35464, 1214, 784, 366, 4342, 290, 2735, 1, 198, 14801, 2550, 784, 366, 1026, 338, 1400, 10003, 1, 198, 17155, 4373, 784, 366, 6109, 7703, 5012, 1, 198, 7651, 402, 540, 784, 366, 16676, 357, 464, 3274, 3862, 16725, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 14206, 784, 15396, 198, 28111, 6612, 784, 366, 17140, 921, 13111, 1, 198, 38739, 31974, 784, 366, 36534, 7911, 284, 2185, 1, 198, 569, 18059, 784, 366, 45048, 1, 198, 509, 38621, 2635, 784, 366, 23725, 28703, 50063, 1, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 14206, 784, 4912, 11, 10243, 11, 393, 36086, 198, 8653, 2873, 8653, 784, 366, 15597, 1550, 44795, 259, 29653, 198, 13145, 784, 366, 40, 4525, 1, 198, 20321, 784, 366, 2484, 789, 2185, 351, 3406, 5896, 1, 198, 15335, 11086, 2521, 784, 366, 35361, 1, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 10940, 286, 262, 6280, 198, 8653, 2873, 8653, 784, 366, 15597, 1550, 44795, 259, 29653, 198, 36025, 23547, 784, 366, 41347, 432, 3205, 1, 198, 17155, 4373, 784, 366, 6109, 7703, 5012, 1, 198, 17461, 35464, 1214, 784, 366, 4342, 290, 2735, 1, 198, 198, 13014, 7849, 7623, 198, 28111, 6612, 784, 366, 38576, 34853, 8741, 1, 198, 7651, 402, 540, 784, 366, 16676, 357, 464, 3274, 3862, 16725, 198, 46884, 5437, 784, 366, 40, 1183, 1355, 4599, 284, 921, 1, 198, 9005, 784, 366, 24541, 67, 590, 1, 198, 198, 13014, 371, 5, 33, 14, 46667, 38698, 968, 18902, 198, 3271, 2631, 45966, 198, 7651, 402, 540, 198, 8653, 2873, 8653, 198, 6960, 13122, 198, 198, 13014, 12281, 23999, 198, 14089, 360, 290, 262, 6387, 89, 784, 4403, 7039, 1326, 198, 4403, 26926, 20055, 784, 632, 338, 257, 4403, 26926, 21561, 198, 1024, 4689, 8653, 784, 513, 43391, 3334, 290, 17658, 198, 6960, 13122, 784, 8026, 10250, 10323, 88, 1084, 6, 198, 198, 13014, 21406, 23999, 198, 46884, 5437, 784, 5157, 319, 262, 9726, 198, 4422, 15217, 13159, 784, 5896, 33159, 198, 22102, 402, 784, 22102, 402, 7547, 198, 5689, 27565, 784, 11988, 7784, 198, 198, 13014, 23244, 23999, 198, 1355, 3856, 1222, 20101, 34, 68, 7178, 504, 784, 11225, 198, 978, 3469, 784, 314, 3497, 14087, 198, 13797, 5674, 10031, 343, 784, 13797, 5674, 10031, 343, 7547, 198, 383, 7178, 504, 784, 7547, 379, 33976, 4789, 198, 198, 5990, 687, 1817, 198, 38739, 31974, 784, 366, 36534, 7911, 284, 2185, 1, 198, 4403, 26926, 20055, 784, 366, 40, 3497, 262, 15768, 24429, 1, 198, 17155, 4373, 784, 366, 2202, 3954, 11744, 1, 198, 9212, 72, 6656, 50173, 784, 366, 3629, 480, 632, 319, 262, 10301, 1, 198, 46884, 5437, 309, 4163, 25, 198, 29628, 710, 49398, 198, 17461, 35464, 1214, 784, 366, 464, 3274, 3862, 10776, 314, 19882, 3406, 15399, 1, 198, 24682, 72, 4689, 12193, 293, 784, 366, 5703, 4874, 1, 198, 1665, 7114, 14327, 784, 366, 49488, 357, 32, 11625, 921, 11, 11625, 2185, 16725, 198, 8653, 2873, 8653, 784, 366, 7282, 284, 5155, 1, 1220, 366, 41, 8101, 494, 338, 10299, 659, 1, 198, 449, 1118, 12242, 1636, 784, 366, 19693, 1, 198, 383, 7178, 504, 290, 29345, 22637, 784, 366, 1026, 338, 3862, 1, 198, 198, 19927, 198, 198, 41506, 6117, 198, 8653, 16835, 7849, 15434, 6303, 42754, 1222, 21198, 500, 274, 198, 198, 36315, 16835, 7849, 15434, 198, 36315, 198, 36315, 198, 36315, 16835, 198, 19891, 287, 5401, 5652, 1, 50, 4063, 896, 357, 14698, 1610, 593, 16725, 318, 257, 3496, 416, 262, 24719, 2269, 274, 543, 373, 6198, 2716, 319, 262, 13521, 5062, 30141, 11136, 1610, 593, 13, 7486, 407, 4884, 355, 257, 2060, 287, 17856, 351, 262, 2560, 5062, 11, 340, 373, 2716, 287, 262, 3482, 284, 7719, 262, 23340, 24719, 2269, 274, 33575, 11, 543, 373, 2716, 287, 3426, 13521, 13, 6363, 347, 12, 1589, 373, 257, 15231, 3496, 366, 8731, 286, 9794, 1, 422, 262, 1448, 338, 8774, 20537, 13, 198, 198, 464, 3496, 2346, 318, 257, 18020, 45613, 371, 5, 33, 2610, 23568, 416, 14488, 287, 3288, 3809, 1141, 262, 24752, 290, 5399, 416, 12325, 290, 32839, 319, 262, 26441, 543, 318, 23568, 287, 27807, 316, 1462, 13, 383, 954, 12, 259, 357, 16, 11, 362, 11, 513, 11, 604, 8, 2982, 319, 262, 5062, 2196, 373, 22532, 422, 262, 2060, 2196, 290, 319, 262, 5062, 24719, 2269, 274, 33575, 13, 1610, 1133, 670, 329, 262, 2610, 373, 2810, 416, 2332, 12590, 20291, 13, 198, 198, 464, 2060, 33948, 379, 1400, 13, 1467, 287, 262, 3482, 11, 290, 561, 307, 262, 938, 5849, 2319, 2277, 262, 4097, 550, 287, 262, 3482, 329, 2048, 3624, 812, 13, 198, 198, 4366, 4919, 11, 612, 373, 257, 4071, 18767, 2008, 286, 262, 3496, 11, 17728, 546, 262, 24719, 2269, 274, 1222, 12382, 12488, 65, 319, 9912, 11, 2192, 379, 8437, 8511, 13, 198, 198, 15439, 4954, 198, 33, 6532, 12488, 65, 784, 1085, 290, 22471, 25355, 11, 26071, 10047, 198, 44, 2899, 501, 12488, 65, 784, 12702, 10047, 11, 12285, 25355, 198, 40656, 12488, 65, 784, 12285, 25355, 198, 9360, 12590, 20291, 784, 781, 1133, 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 ]

[ 1619, 24448, 290, 4689, 39249, 11, 290, 561, 307, 2714, 379, 2677, 26804, 7092, 2254, 287, 449, 6048, 993, 11, 7420, 9671, 329, 262, 1306, 1115, 812, 11, 287, 257, 1730, 17560, 379, 10432, 10232, 1510, 13, 383, 1785, 373, 635, 3888, 284, 3269, 287, 1502, 284, 4646, 262, 366, 36801, 395, 295, 1, 319, 3466, 6, 24025, 13, 383, 4381, 468, 7452, 7734, 25, 5803, 36952, 11, 1182, 286, 6332, 8300, 329, 1181, 26661, 11923, 6089, 11, 5081, 326, 340, 561, 407, 8406, 329, 262, 2056, 2489, 284, 262, 3115, 22163, 64, 11, 287, 5402, 286, 7420, 9671, 338, 1692, 290, 1466, 338, 2489, 4406, 960, 16480, 287, 1466, 338, 5701, 13, 39249, 399, 330, 1538, 390, 376, 21356, 83, 28984, 4415, 274, 1538, 1893, 44492, 1665, 12093, 635, 12318, 262, 2551, 11, 12988, 262, 1692, 2489, 11734, 290, 262, 1499, 338, 366, 4063, 803, 1, 286, 3427, 4346, 357, 259, 4941, 284, 25868, 26661, 307, 448, 48, 737, 554, 262, 1613, 11, 1665, 12093, 468, 587, 257, 1688, 12811, 284, 1745, 262, 5449, 2354, 286, 8602, 11, 290, 2592, 262, 1578, 1829, 11, 355, 636, 286, 465, 4040, 284, 4292, 4689, 39249, 18309, 13, 19340, 5777, 1893, 20894, 6256, 498, 274, 5081, 326, 1466, 561, 307, 1498, 284, 5262, 262, 7466, 1231, 17504, 11, 290, 13768, 262, 4381, 355, 262, 779, 286, 4346, 284, 366, 35636, 3592, 1911, 198, 198, 818, 257, 6283, 3912, 286, 10906, 11, 6159, 262, 6955, 64, 1619, 24448, 4249, 4689, 39249, 14591, 4251, 262, 3115, 22163, 64, 390, 20386, 64, 30644, 2457, 287, 262, 717, 1115, 23713, 286, 262, 1440, 12, 15097, 5794, 13, 198, 198, 39156, 721, 23295, 286, 3115, 22163, 64, 198, 198, 20457, 18130, 198, 198, 13379, 64, 32355, 10343, 32074, 198, 198, 9, 554, 26352, 290, 24217, 262, 6508, 373, 11343, 284, 15142, 11, 355, 484, 550, 1839, 262, 4689, 39249, 1220, 6955, 64, 1619, 3611, 8836, 14323, 78, 4274, 13, 198, 198, 37, 6897, 416, 614, 198, 198, 7571, 12, 15097, 5794, 198, 30313, 329, 262, 13540, 11, 12122, 290, 9768, 18130, 11, 262, 717, 1232, 2872, 373, 2826, 379, 262, 6508, 8464, 338, 10308, 13, 198, 198, 15137, 12, 15097, 5794, 198, 198, 51, 30540, 416, 3430, 198, 198, 51, 30540, 416, 3430, 287, 3115, 22163, 64, 198, 198, 51, 30540, 416, 3430, 287, 27677, 286, 3115, 22163, 64, 198, 198, 3237, 12, 2435, 1353, 4661, 7295, 3808, 198, 198, 33, 727, 9217, 4075, 1938, 287, 7897, 4346, 13, 198, 198, 35392, 4406, 198, 1439, 12, 2435, 1353, 30664, 25, 44286, 36128, 468, 7781, 262, 749, 4661, 287, 3115, 22163, 64, 390, 20386, 64, 30644, 2106, 11, 257, 2472, 286, 1478, 4661, 13, 198, 4042, 18576, 7781, 287, 25, 44286, 36128, 468, 7781, 287, 767, 1180, 2457, 23713, 11, 517, 621, 597, 584, 2137, 287, 3115, 22163, 64, 390, 20386, 64, 30644, 2106, 13, 198, 198, 6214, 635, 198, 9957, 287, 8602, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 464, 18476, 286, 262, 1459, 3115, 22163, 64, 390, 20386, 64, 30644, 628, 220, 198, 45355, 198, 17, 198, 6690, 14924, 17702, 2995, 4920, 287, 14489, 198, 30763, 33228, 287, 8602, 56, 2591, 72, 2059, 357, 26, 1267, 318, 257, 2839, 2267, 6403, 287, 22372, 11, 2520, 4969, 13, 1081, 257, 2888, 286, 262, 366, 18831, 56, 1, 11155, 11, 575, 2591, 72, 2059, 318, 10762, 530, 286, 262, 1115, 749, 23566, 6712, 287, 262, 1499, 13, 632, 318, 3573, 14462, 287, 262, 3640, 286, 9007, 290, 1597, 3662, 13, 198, 198, 464, 3710, 1767, 10874, 286, 2608, 11, 22, 3132, 22952, 2444, 11, 1367, 11, 42691, 10428, 2444, 11, 604, 11, 44085, 12829, 1866, 11, 718, 11, 22, 3459, 3085, 11, 290, 36100, 11, 24, 3132, 31333, 13, 575, 2591, 72, 14051, 663, 1388, 7611, 287, 22372, 290, 4394, 10428, 11, 1281, 17680, 290, 40995, 4056, 287, 6983, 290, 3594, 15417, 13, 198, 198, 464, 6403, 373, 4920, 287, 3269, 25177, 832, 262, 6441, 286, 46340, 5303, 5535, 357, 168, 245, 108, 169, 251, 105, 168, 254, 226, 167, 105, 116, 47991, 247, 166, 113, 238, 26, 10263, 119, 114, 163, 99, 100, 22887, 230, 38461, 222, 27764, 116, 43718, 94, 8, 290, 26434, 590, 4479, 8366, 5535, 357, 168, 226, 116, 167, 116, 234, 167, 252, 222, 168, 232, 97, 23821, 251, 246, 166, 111, 120, 167, 234, 222, 47991, 247, 26, 23821, 226, 116, 167, 116, 234, 167, 252, 222, 168, 232, 97, 16268, 228, 104, 163, 100, 239, 32014, 27764, 116, 737, 770, 373, 257, 1255, 286, 257, 15727, 24537, 11113, 1022, 262, 15273, 326, 2540, 287, 262, 14062, 82, 13, 383, 6712, 547, 262, 717, 286, 511, 6982, 287, 4969, 13, 46340, 5303, 5535, 373, 530, 286, 262, 717, 3660, 15273, 11, 9393, 355, 609, 418, 403, 4302, 5535, 357, 168, 94, 108, 168, 226, 254, 166, 116, 108, 167, 237, 227, 166, 113, 238, 167, 234, 222, 47991, 247, 26, 42164, 251, 165, 106, 106, 161, 253, 118, 163, 251, 96, 46763, 247, 32014, 27764, 116, 8, 287, 2805, 32062, 13, 26434, 590, 468, 663, 11135, 287, 262, 717, 3660, 3315, 3641, 287, 4969, 11, 402, 8149, 456, 88, 413, 261, 357, 166, 112, 239, 169, 246, 250, 168, 249, 238, 10263, 119, 96, 46349, 254, 165, 247, 95, 11, 2097, 286, 24204, 16156, 828, 9393, 287, 3035, 11, 1248, 5332, 13, 1081, 257, 17547, 11, 262, 1438, 366, 56, 2591, 72, 1, 373, 10944, 422, 262, 717, 27226, 2977, 286, 262, 3891, 286, 663, 734, 2560, 6712, 11, 366, 56, 261, 26, 23821, 245, 108, 26, 10263, 119, 114, 1, 422, 46340, 5303, 5535, 290, 366, 4653, 72, 26, 23821, 226, 116, 26, 220, 10310, 244, 1, 422, 26434, 590, 4479, 8366, 5535, 13, 198, 198, 18122, 198, 198, 24586, 3732, 654, 357, 1507, 5332, 1906, 1129, 1433, 8, 220, 198, 198, 464, 575, 2591, 72, 2059, 8366, 3961, 9667, 284, 3035, 838, 11, 1248, 5332, 11, 618, 262, 717, 3660, 4436, 284, 3357, 4885, 9007, 287, 4969, 11, 402, 8149, 456, 88, 413, 261, 11, 373, 4920, 13, 198, 198, 464, 4436, 373, 9393, 416, 6075, 558, 17321, 9659, 11, 262, 1605 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 41506, 6117, 220, 198, 3205, 12, 25886, 10933, 15934, 15887, 25, 6458, 5726, 11, 45949, 18470, 5726, 198, 198, 42997, 2629, 2454, 7259, 198, 57, 316, 8083, 13407, 25287, 198, 11024, 25287, 198, 44241, 18813, 4635, 416, 13146, 2954, 84, 198, 25324, 12, 16129, 7259, 198, 11024, 7259, 198, 25324, 33549, 12, 12924, 7259, 198, 19453, 4565, 9280, 2647, 7259, 198, 35, 590, 12, 12924, 7259, 198, 50, 28079, 3194, 416, 13146, 2954, 84, 19156, 32108, 8616, 357, 16157, 1467, 11, 35369, 784, 2693, 807, 11, 14745, 8, 373, 10106, 286, 27874, 11, 6835, 422, 19322, 284, 15963, 26, 2158, 11, 428, 13293, 318, 6777, 43861, 416, 5891, 5510, 1605, 9591, 8124, 347, 13, 520, 3369, 11, 508, 373, 7018, 9591, 286, 10306, 287, 15904, 13, 198, 198, 23286, 4867, 198, 32476, 373, 4642, 287, 27874, 11, 257, 3367, 286, 13145, 8616, 290, 399, 695, 494, 16105, 13, 679, 9141, 370, 2621, 3900, 2059, 287, 27874, 290, 262, 10306, 5535, 286, 10788, 2838, 5800, 287, 10306, 11, 6835, 329, 465, 4922, 287, 5596, 2838, 3640, 13, 679, 373, 11343, 281, 44358, 9356, 286, 45936, 24501, 4922, 422, 5694, 1812, 2059, 287, 15963, 13, 198, 198, 32476, 373, 7018, 284, 27874, 338, 1748, 5810, 287, 20510, 11, 290, 2540, 465, 3381, 287, 3269, 20033, 13, 383, 5810, 788, 9899, 683, 355, 262, 1748, 338, 9591, 287, 19322, 11, 34195, 32839, 509, 13, 8999, 620, 11, 262, 1748, 338, 717, 5582, 9591, 13, 554, 15963, 11, 339, 6520, 284, 1057, 329, 302, 12, 14300, 357, 14363, 17270, 11, 29504, 1709, 2954, 11, 373, 27874, 338, 717, 4048, 9591, 828, 475, 6150, 319, 262, 1748, 5810, 13, 2293, 12848, 465, 3381, 355, 9591, 11, 8616, 373, 6163, 355, 257, 2888, 286, 257, 1109, 12, 41070, 5810, 284, 10836, 416, 1502, 286, 788, 12, 22540, 11, 47309, 5030, 11, 290, 1568, 4504, 287, 8069, 739, 6219, 337, 13, 16642, 284, 10104, 1729, 12, 33631, 4568, 13, 554, 16101, 11, 339, 373, 262, 3415, 3615, 10429, 329, 262, 3126, 400, 5665, 5852, 287, 262, 6835, 2097, 286, 17132, 11, 475, 2626, 287, 262, 2276, 3071, 13, 628, 28470, 422, 465, 1964, 3451, 11, 8616, 373, 635, 262, 4870, 290, 10088, 286, 262, 5199, 327, 13, 8616, 11138, 1691, 5995, 11, 9393, 287, 27937, 13, 679, 635, 3767, 284, 4691, 355, 1182, 286, 11016, 10182, 290, 6409, 23265, 5745, 287, 262, 27874, 1989, 13, 679, 373, 21014, 416, 257, 16134, 290, 47600, 287, 27874, 319, 5199, 327, 13, 8616, 3596, 1141, 2619, 7443, 16061, 13, 317, 29420, 287, 9436, 27874, 373, 7256, 284, 465, 4088, 11, 290, 257, 10737, 1363, 3716, 635, 13062, 465, 1438, 13, 198, 198, 32476, 3724, 287, 14745, 706, 257, 3344, 351, 4890, 13, 2399, 3793, 389, 987, 445, 287, 38982, 565, 733, 35637, 6669, 385, 2305, 388, 13, 198, 198, 32476, 338, 1966, 3367, 12, 259, 12, 6270, 11, 5045, 13709, 364, 11, 373, 635, 257, 2888, 286, 27874, 338, 1748, 5810, 11, 290, 1568, 11, 9591, 13, 1439, 1115, 286, 8616, 338, 1751, 3058, 26412, 287, 27874, 11, 810, 484, 2555, 284, 8076, 262, 14825, 1363, 326, 13062, 465, 1438, 13, 632, 318, 530, 286, 1178, 11, 611, 407, 262, 691, 11, 1218, 12, 20158, 5510, 12, 7437, 12, 11990, 290, 532, 42767, 5692, 287, 27874, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 19156, 327, 13, 8616, 784, 6835, 7443, 5694, 198, 17784, 364, 25976, 1222, 43626, 11, 3862, 11175, 198, 198, 1129, 2481, 27244, 198, 35411, 7040, 198, 6747, 669, 286, 4113, 287, 6835, 198, 43032, 12, 7437, 44660, 287, 6835, 198, 7437, 14825, 13445, 198, 39866, 5106, 422, 27874, 11, 6835, 198, 20148, 82, 422, 4890, 287, 6835, 198, 31274, 4734, 198, 1238, 400, 12, 14792, 1605, 7602, 198, 1238, 400, 12, 14792, 5510, 12, 7437, 7602, 7554, 16197, 44271, 357, 21159, 352, 11, 1248, 1065, 784, 3945, 1511, 11, 1248, 2791, 8, 373, 281, 1605, 24233, 286, 262, 7993, 7835, 4564, 13, 679, 4983, 355, 16559, 286, 6182, 422, 1248, 3510, 1566, 465, 1918, 287, 1248, 2791, 13, 198, 198, 20457, 1204, 290, 3707, 198, 37, 4224, 29615, 373, 4642, 287, 6182, 11, 10140, 11, 284, 3397, 508, 1625, 284, 262, 1578, 1829, 422, 2677, 338, 3418, 357, 12332, 88, 3242, 3400, 828, 7517, 11, 287, 1248, 2713, 13, 2399, 2988, 373, 257, 35280, 290, 465, 22160, 17695, 4983, 287, 257, 10140, 34792, 1141, 262, 1605, 9303, 13, 2293, 11969, 1957, 4165, 4266, 11, 339, 373, 257, 34047, 379, 262, 6182, 9133, 3961, 422, 1248, 2075, 284, 1248, 1959, 11, 1141, 543, 640, 339, 18876, 2241, 329, 465, 3640, 290, 14675, 13, 198, 198, 2953, 262, 13052, 286, 16559, 28697, 7212, 19426, 16239, 11, 311, 13, 41, 1539, 44271, 788, 18724, 379, 4767, 270, 12449, 1437, 557, 11, 1057, 416, 262, 29357, 79, 6749, 30969, 11, 287, 12871, 11, 14778, 11, 3340, 13, 554, 3090, 284, 465, 3640, 11, 44271, 373, 3706, 6240, 286, 13214, 290, 8966, 274, 12, 15503, 411, 1141, 465, 5544, 614, 13, 679, 373, 635, 43472, 287, 9133, 11, 8312, 11, 290, 4141, 416, 428, 640, 13, 2293, 30024, 422, 12871, 287, 1248, 2718, 11, 339, 5982, 262, 12449, 3219, 286, 520, 13, 29357, 79, 501, 287, 6342, 11, 4881, 11, 810, 339, 750, 465, 30576, 3640, 13, 198, 198, 34487, 395, 2894, 198, 3633, 991, 287, 6342, 11, 44271, 373, 36777, 284, 262, 33060, 319, 2795, 1511, 11, 47784, 13, 679, 4504, 284, 6182, 262, 1708, 3389, 11, 290, 373, 8686, 355, 257, 1090, 378, 379, 7439, 6372, 32536, 290, 520, 13, 5335, 338, 4564, 287, 262, 2258, 5268, 13, 1629, 326, 640, 11, 520, 13, 5335, 338, 373, 17840, 416, 734, 542, 1571, 43978, 290, 772, 4624, 739, 987, 11600, 706, 530, 17710, 19072, 257, 5674, 286, 262, 12330, 11503, 13, 554, 1248, 3682, 339, 2627, 22175, 286, 3687, 14457, 11, 810, 339, 28415, 257, 4928, 13, 198, 198, 13807, 2304, 404, 1590, 198, 2202, 3389, 2310, 11, 1248, 3559, 11, 44271, 373, 9899, 327, 1170, 73, 38409, 16559, 286, 6182, 290, 7659, 934, 16559, 286, 4889, 541, 8506, 416, 13258, 20653, 49090, 13, 679, 2722, 465, 2462, 42522, 42938, 1358 ]

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

[ 258, 373, 2626, 764, 9776, 465, 1093, 889, 407, 510, 284, 3013, 1648, 5633, 361, 407, 837, 644, 3446, 750, 673, 1612, 416, 262, 1573, 5633, 258, 705, 67, 1239, 550, 284, 36440, 257, 2415, 878, 2162, 484, 655, 8752, 2227, 284, 307, 351, 683, 764, 1659, 1781, 484, 750, 2162, 339, 550, 587, 257, 19716, 286, 269, 652, 31079, 837, 290, 1201, 2479, 38741, 837, 262, 2003, 5822, 764, 2197, 326, 339, 373, 5822, 837, 612, 373, 257, 1627, 286, 1466, 508, 561, 307, 517, 621, 4684, 284, 307, 465, 3656, 764, 64, 1627, 286, 1466, 326, 750, 299, 470, 2291, 262, 530, 508, 5281, 465, 1200, 764, 270, 373, 41851, 803, 5145, 15506, 703, 750, 345, 290, 616, 2988, 1282, 1978, 5633, 10148, 324, 380, 1531, 550, 1239, 19951, 284, 1265, 884, 257, 1808, 878, 783, 764, 15506, 783, 837, 326, 318, 257, 922, 1808, 764, 10148, 7091, 3332, 736, 351, 257, 2705, 8212, 319, 607, 1986, 764, 15506, 1312, 705, 76, 6655, 326, 1312, 423, 299, 470, 1297, 345, 428, 878, 764, 14108, 2988, 373, 10013, 262, 16503, 2585, 284, 651, 5608, 319, 10068, 269, 652, 31079, 705, 82, 3773, 837, 290, 339, 373, 257, 8096, 8319, 379, 257, 31133, 278, 27639, 764, 72, 290, 257, 1271, 286, 584, 45630, 272, 10544, 290, 49798, 547, 612, 837, 290, 618, 1312, 1138, 683, 837, 465, 3223, 2951, 837, 465, 32600, 837, 290, 465, 1913, 8806, 17676, 502, 572, 616, 3625, 764, 10148, 38441, 40543, 5025, 329, 257, 5664, 393, 734, 837, 290, 21893, 764, 15506, 3763, 837, 257, 845, 1913, 8806, 764, 258, 750, 262, 48176, 1517, 326, 345, 705, 303, 1760, 1058, 339, 23384, 502, 764, 1662, 4451, 764, 10148, 15506, 475, 345, 6405, 683, 837, 2802, 764, 10148, 15506, 3763, 837, 1312, 750, 764, 4360, 465, 4028, 2048, 2900, 502, 3190, 1028, 683, 837, 12725, 284, 683, 355, 1312, 373, 764, 72, 1309, 683, 760, 287, 645, 8627, 2846, 326, 1312, 373, 299, 470, 281, 2134, 837, 257, 14068, 339, 714, 751, 284, 465, 4947, 764, 12518, 339, 49566, 866, 290, 1682, 1093, 1513, 502, 837, 1312, 3214, 287, 1842, 2048, 11101, 764, 1169, 1621, 318, 2392, 837, 286, 1781, 837, 475, 262, 4220, 1627, 318, 326, 339, 750, 299, 470, 1592, 616, 2612, 1566, 339, 3751, 502, 339, 550, 530, 286, 465, 898, 764, 27078, 339, 750, 326, 837, 1312, 750, 299, 470, 2666, 465, 1735, 764, 10148, 15506, 1521, 466, 1466, 761, 428, 5633, 72, 466, 299, 470, 1833, 764, 72, 481, 2148, 880, 329, 607, 837, 1577, 607, 257, 1204, 749, 1466, 561, 31651, 764, 22850, 318, 299, 470, 326, 922, 1576, 5633, 10148, 15506, 780, 1466, 815, 307, 41238, 837, 3367, 764, 64, 922, 2415, 379, 534, 1735, 481, 1844, 345, 837, 787, 345, 262, 22740, 345, 389, 4001, 284, 307, 764, 7091, 481, 307, 1913, 618, 262, 1334, 286, 262, 995, 468, 9958, 345, 764, 7091, 481, 760, 345, 1365, 621, 2687, 2073, 764, 7091, 481, 12553, 345, 618, 262, 26356, 5370, 286, 428, 1499, 8181, 4334, 2402, 534, 12450, 764, 5832, 761, 284, 48303, 607, 837, 1842, 607, 837, 290, 1577, 607, 257, 1738, 284, 1745, 345, 5381, 772, 832, 262, 12841, 286, 20228, 764, 10148, 15506, 703, 466, 1312, 466, 326, 5633, 10148, 324, 380, 1531, 714, 3785, 503, 465, 1499, 705, 82, 2761, 837, 475, 339, 750, 299, 470, 760, 703, 284, 1280, 465, 2612, 284, 3444, 2978, 764, 12758, 837, 339, 750, 299, 470, 1254, 257, 761, 284, 764, 15506, 703, 750, 345, 1592, 3444, 2978, 705, 82, 2689, 507, 287, 262, 717, 1295, 5633, 5832, 1276, 423, 1760, 1223, 826, 611, 673, 10732, 534, 1200, 764, 10148, 324, 380, 1531, 6204, 10574, 329, 257, 2589, 355, 339, 1807, 736, 284, 465, 640, 319, 262, 10481, 764, 15506, 1312, 750, 299, 470, 466, 1997, 1180, 422, 644, 1312, 7685, 466, 764, 7091, 373, 14899, 764, 72, 1807, 673, 373, 32249, 290, 1312, 705, 411, 66, 1739, 705, 607, 837, 996, 618, 673, 5025, 14376, 379, 616, 46258, 2230, 284, 3613, 607, 1204, 837, 543, 4173, 9091, 502, 655, 257, 1643, 837, 612, 373, 281, 3489, 4637, 764, 72, 9392, 607, 329, 8073, 764, 7091, 750, 299, 470, 2666, 329, 257, 1285, 764, 10148, 15506, 644, 750, 345, 466, 326, 925, 607, 765, 284, 2652, 351, 345, 329, 262, 1285, 5633, 10148, 22850, 477, 777, 2683, 5633, 258, 750, 299, 470, 765, 284, 892, 546, 262, 1613, 764, 270, 373, 640, 284, 1445, 2651, 837, 892, 286, 511, 2003, 764, 4360, 339, 2993, 465, 2802, 561, 299, 470, 2245, 15054, 803, 683, 1566, 339, 2921, 607, 1223, 764, 15506, 356, 655, 1392, 1863, 880, 764, 72, 5158, 284, 607, 517, 621, 597, 584, 2415, 1312, 705, 303, 2077, 329, 262, 1755, 764, 72, 373, 299, 470, 12451, 284, 307, 351, 607, 477, 1285, 764, 270, 373, 655, 326, 530, 1110, 24178, 656, 262, 1306, 764, 10148, 324, 380, 1531, 9617, 510, 465, 5101, 764, 15506, 788, 307, 326, 582, 757, 532, 262, 582, 508, 925, 607, 3853, 284, 4859, 1088, 329, 257, 981, 837, 10148, 673, 531, 837, 355, 611, 5486, 284, 257, 1862, 1200, 764, 15506, 1312, 466, 299, 470, 760, 703, 284, 466, 326, 764, 265, 326, 966, 287, 674, 2776, 837, 356, 547, 1111, 655, 2045, 329, 257, 922, 640, 2162, 6159, 286, 514, 373, 7960, 546, 262, 2003, 764, 2197, 837, 1312, 761, 284, 20999, 607, 284, 12479, 502, 30981, 837, 10148, 339, 531, 764, 15506, 13769, 837, 611, 673, 561, 2121, 736, 656, 3996, 351, 502, 837, 3863, 1312, 714, 20999, 607, 517, 3538, 837, 10148, 339, 285, 11137, 739, 465, 8033, 837, 14066, 618, 465, 2802, 750, 299, 470, 3285, 764, 37814, 550, 587, 4577, 837, 996, 837, 523, 881, 4577, 764, 12518, 484, 705, 67, 3377, 511, 1285, 1978, 287, 781, 273, 3755, 837, 484, 550, 299, 470, 8350, 764, 5562, 1276, 423, 587, 780, 484, 705, 67, 587, 287, 3996, 2063, 262, 640, 764, 15506, 345, 481, 423, 284, 1577, 607, 1223, 837, 512, 380, 1531, 837, 393, 673, 24486, 299, 470, 2652, 837, 645, 2300, 644, 7432, 345, 2071, 764, 10148, 15506, 644 ]

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

[ 9327, 3530, 13, 383, 27504, 38049, 21939, 791, 1780, 4564, 11, 357, 36234, 38029, 8, 38985, 257, 2092, 9208, 4136, 319, 262, 8050, 3164, 284, 262, 1388, 4675, 13, 22493, 287, 281, 15321, 2292, 287, 5425, 3530, 11, 340, 3073, 7421, 3371, 13656, 3822, 5567, 290, 262, 3240, 338, 5863, 16035, 4783, 13, 383, 27504, 38049, 21939, 21724, 4564, 318, 284, 307, 1043, 287, 4564, 3530, 11, 655, 257, 1790, 41360, 422, 5425, 3530, 13, 14466, 306, 262, 27504, 38049, 21939, 44150, 4564, 11, 340, 468, 257, 890, 1222, 6613, 2106, 287, 262, 1957, 1989, 13, 198, 198, 1273, 13, 5335, 338, 42844, 272, 4564, 11, 318, 22765, 2252, 1863, 14819, 5567, 422, 262, 791, 1780, 4564, 13, 317, 636, 286, 27504, 38049, 21939, 1201, 3869, 10484, 1661, 11, 262, 2656, 4928, 373, 6572, 416, 257, 19447, 2046, 287, 3426, 3648, 13, 28407, 276, 1088, 49658, 11, 262, 1388, 2615, 550, 23707, 7815, 1222, 30605, 17255, 5989, 17547, 284, 2055, 1866, 13, 317, 13365, 26541, 2923, 625, 4492, 1141, 262, 5498, 2159, 1810, 11, 257, 881, 12, 75, 2668, 6623, 4139, 11, 1222, 257, 1862, 2576, 422, 262, 28830, 29556, 26, 777, 1222, 1854, 28723, 515, 319, 520, 13, 5335, 338, 7714, 23738, 262, 6817, 286, 2055, 2346, 1626, 262, 4928, 13, 317, 1588, 3056, 12036, 287, 3660, 3918, 11, 5668, 287, 262, 11445, 82, 416, 15397, 337, 49252, 11, 257, 1862, 1957, 2576, 11, 18904, 262, 4082, 11, 48905, 295, 1222, 27556, 286, 5803, 23927, 10424, 35421, 417, 357, 1129, 3426, 1467, 5999, 784, 1511, 3267, 1596, 2718, 8, 373, 257, 2679, 1786, 430, 332, 3025, 1388, 5353, 547, 12121, 8188, 290, 31725, 13, 198, 198, 53, 519, 417, 373, 4642, 287, 399, 25151, 77, 3900, 13, 220, 679, 9713, 739, 775, 47709, 290, 679, 20782, 287, 2447, 30359, 13, 198, 198, 818, 1596, 2231, 257, 1271, 286, 465, 1786, 42335, 706, 2365, 12554, 431, 694, 127, 121, 547, 3199, 416, 262, 2679, 34537, 290, 1786, 430, 332, 17284, 259, 7806, 3771, 747, 1754, 13, 198, 198, 1544, 3724, 287, 2447, 30359, 11, 9722, 7192, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 1433, 5999, 27244, 198, 1558, 2718, 7040, 198, 16010, 1786, 430, 690, 44507, 314, 390, 15062, 948, 357, 16784, 1511, 2791, 784, 706, 513, 2805, 1478, 2713, 8, 373, 20377, 390, 15062, 948, 290, 288, 6, 46, 13560, 11, 290, 2764, 408, 286, 1406, 747, 684, 422, 1511, 5607, 13, 1375, 14131, 424, 78, 474, 495, 284, 262, 3670, 286, 2764, 408, 286, 1406, 747, 684, 2402, 262, 1918, 286, 607, 2988, 11, 1985, 84, 8056, 392, 19691, 390, 15062, 948, 11, 319, 1248, 3945, 1511, 5607, 13, 554, 3090, 284, 607, 8714, 11, 673, 635, 17273, 6409, 42252, 287, 38131, 4881, 13, 1375, 373, 262, 3656, 286, 8616, 286, 2409, 11, 290, 262, 46458, 286, 2677, 10443, 6711, 286, 4492, 290, 9844, 64, 286, 367, 391, 1721, 13, 198, 198, 14662, 198, 198, 44507, 373, 4642, 287, 3035, 1511, 2791, 379, 15062, 948, 11312, 11, 36614, 88, 11, 4881, 13, 1375, 373, 262, 34331, 4957, 286, 257, 3665, 4141, 15581, 805, 11, 1985, 84, 8056, 392, 19691, 390, 15062, 948, 11, 290, 1148, 43653, 286, 4492, 11, 4957, 286, 2677, 10443, 6711, 286, 4492, 290, 9844, 64, 286, 367, 391, 1721, 13, 1375, 550, 257, 7099, 6621, 11, 9844, 64, 390, 15062, 948, 357, 1485, 3134, 1906, 1415, 1157, 828, 508, 6405, 5199, 390, 569, 567, 11, 860, 400, 21647, 286, 13643, 11, 28382, 408, 286, 18220, 11, 11083, 286, 7517, 13, 198, 198, 2215, 20492, 373, 546, 257, 1227, 1468, 11, 673, 11791, 607, 3397, 284, 4492, 11, 810, 319, 1367, 1737, 1511, 2791, 607, 2988, 2722, 262, 3670, 286, 21647, 286, 41540, 290, 373, 28948, 276, 656, 262, 8284, 286, 262, 402, 2571, 13, 554, 1511, 4304, 379, 262, 2479, 286, 3478, 11, 20492, 5399, 262, 6641, 286, 262, 4141, 16599, 11, 5302, 7697, 286, 41638, 290, 373, 15657, 7848, 262, 360, 559, 746, 259, 290, 465, 20569, 13, 198, 198, 7676, 4087, 198, 818, 3389, 1511, 5705, 11, 673, 6405, 8616, 286, 2409, 11, 28382, 271, 390, 26345, 12, 24247, 12, 44, 516, 1559, 11, 3367, 286, 5199, 314, 11, 11083, 286, 2409, 290, 20492, 286, 3254, 10924, 11, 6621, 286, 2677, 7516, 569, 286, 4881, 13, 383, 4845, 4635, 734, 11989, 25, 220, 198, 1985, 84, 8056, 392, 286, 2409, 357, 1485, 5774, 784, 269, 13, 36641, 8, 198, 5199, 286, 2409, 11, 2764, 286, 1526, 293, 290, 1406, 747, 684, 357, 1485, 3829, 784, 1679, 3267, 1478, 1314, 828, 508, 3724, 379, 262, 5838, 286, 317, 1655, 22230, 13, 198, 198, 3886, 262, 1315, 400, 4289, 11, 20492, 290, 607, 5229, 8616, 3888, 284, 262, 609, 22940, 660, 559, 390, 9724, 2634, 11, 543, 550, 587, 287, 262, 15062, 948, 1641, 1201, 262, 886, 286, 262, 1105, 400, 4289, 13, 198, 198, 38263, 18563, 198, 44507, 338, 2802, 11, 1148, 43653, 11, 3724, 287, 1511, 3720, 13, 2332, 2988, 11, 1985, 84, 8056, 392, 11, 816, 283, 2228, 287, 3945, 1511, 4521, 284, 41838, 293, 11, 262, 4957, 286, 1757, 314, 11, 11083, 286, 26068, 23440, 13, 14438, 1985, 84, 8056, 392, 338, 1918, 319, 1248, 3945, 1511, 5607, 287, 257, 9663, 3770, 379, 347, 1834, 64, 11, 28880, 22703, 11, 1936, 1933, 706, 262, 40831, 5838, 286, 8377, 47575, 11, 20492, 19552, 465, 3670, 290, 2627, 262, 424, 78, 474, 495, 2764, 408, 286, 1406, 747, 684, 13, 20173, 262, 886, 286, 326, 976, 614, 11, 673, 373, 9214, 6972, 13, 2332, 5229, 8616, 373, 635, 2077, 17234, 379, 262, 5838, 286, 8377, 47575, 290, 1568, 374, 504, 12657, 13, 554, 3267, 1511, 5607, 11, 319, 262, 16452, 7002, 1363, 284, 4881, 11, 8616, 286, 2409, 3724, 379, 262, 15170, 9972, 6, 1413, 287, 4700, 4703, 78, 706, 1719, 23407, 262, 23684, 1141, 465, 523, 73, 1798, 287, 29702, 13, 679, 373, 11694, 379, 262, 8294, 286, 262, 47245, 1127, 287, 6342, 13, 198, 198, 44507, 21941, 262, 11574, 390, 15062, 948, 24155, 351, 607, 2239, 13552, 11, 351, 20492, 8512, 262, 2104, 24155, 11, 981, 41838, 293, 11189, 2402, 6464 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2438, 1695, 329, 10342, 373, 287, 2972, 17519, 1390, 13422, 13, 34586, 11, 764, 18870, 13, 65, 89, 17, 11, 764, 18870, 11, 290, 764, 13344, 11, 327, 20304, 11, 3834, 9641, 11, 17606, 290, 12185, 333, 498, 38072, 13, 198, 198, 11708, 6127, 11140, 5017, 867, 1280, 12, 10459, 4493, 11, 290, 355, 884, 318, 1180, 422, 262, 366, 10669, 11140, 329, 3012, 4946, 2723, 4493, 1, 326, 373, 2716, 12979, 13, 198, 198, 40164, 5408, 3113, 220, 198, 198, 464, 2524, 3142, 262, 779, 286, 3218, 14700, 287, 20743, 11, 543, 379, 326, 640, 373, 407, 4438, 416, 597, 584, 2989, 3113, 329, 2438, 13, 770, 1838, 340, 22464, 42717, 11, 475, 625, 262, 995, 338, 1171, 2438, 13, 383, 20411, 9322, 21001, 257, 5192, 859, 6376, 351, 257, 2183, 12, 18780, 11, 14425, 12, 1659, 12, 15271, 18290, 3218, 5408, 3113, 13, 198, 198, 818, 2805, 3050, 11, 262, 2438, 286, 4526, 17, 11, 262, 3218, 5408, 3113, 973, 287, 3012, 6127, 11140, 11, 373, 925, 1280, 2723, 13, 198, 198, 11708, 6127, 11140, 4855, 28069, 10426, 7083, 3218, 5408, 15582, 11, 23494, 736, 12, 5420, 4972, 11, 2927, 803, 4847, 11, 290, 2927, 341, 6097, 13, 198, 198, 43, 33213, 407, 8720, 4855, 714, 307, 16499, 329, 1262, 262, 2393, 25, 10088, 284, 2872, 262, 2219, 2393, 18366, 329, 262, 3303, 13, 198, 198, 15642, 756, 259, 2288, 220, 198, 198, 818, 3267, 2813, 11, 3012, 3414, 326, 6127, 11140, 373, 284, 307, 4423, 866, 1863, 351, 262, 6127, 11140, 7824, 13, 383, 2139, 6150, 2691, 1566, 2805, 2211, 11, 290, 340, 783, 5860, 257, 32320, 13, 198, 198, 818, 3269, 2321, 11, 1887, 18014, 3199, 281, 16700, 286, 2106, 290, 262, 6276, 7612, 286, 262, 2891, 11, 290, 1280, 12, 82, 30555, 257, 4096, 7822, 286, 257, 2092, 11244, 355, 257, 900, 286, 27669, 4056, 326, 460, 1057, 3049, 41497, 3218, 5408, 15455, 625, 1957, 2438, 13, 198, 198, 6214, 635, 220, 628, 39968, 293, 198, 4946, 14699, 357, 64, 20121, 286, 3966, 75, 1219, 290, 32701, 364, 8, 198, 4638, 672, 589, 198, 4946, 42921, 74, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 220, 198, 327, 9630, 14, 34, 12947, 532, 3141, 12, 1370, 2393, 2989, 2891, 11, 1912, 319, 4213, 422, 402, 7902, 198, 10628, 286, 6127, 11140, 11, 3614, 284, 262, 18255, 1505, 1628, 198, 198, 43303, 3788, 198, 7469, 16260, 2438, 2989, 11874, 198, 10669, 11140, 6435, 2848, 3130, 11272, 318, 281, 1605, 5068, 38164, 9393, 287, 28684, 416, 19579, 17421, 5116, 11, 508, 3706, 262, 4508, 706, 607, 1641, 338, 17031, 12, 12345, 5318, 3119, 287, 7011, 3245, 11, 14493, 11, 543, 287, 1210, 373, 3706, 329, 262, 13385, 3130, 5509, 13, 220, 198, 198, 32, 22347, 286, 262, 14327, 34011, 5834, 1201, 20510, 11, 340, 318, 1912, 287, 5414, 11152, 11, 14493, 13, 198, 198, 18122, 220, 198, 24428, 8984, 17421, 5116, 2540, 16871, 8509, 287, 28684, 329, 607, 18887, 3367, 2940, 508, 550, 28438, 290, 373, 31856, 284, 749, 26879, 13686, 9013, 13, 220, 2332, 3367, 338, 6253, 7151, 340, 284, 465, 584, 3871, 290, 10085, 607, 284, 3677, 607, 8509, 284, 262, 1171, 13, 2332, 717, 5068, 5466, 373, 284, 607, 1957, 34185, 287, 7011, 3245, 11, 20776, 1539, 12185, 333, 952, 447, 247, 82, 5991, 13, 19579, 338, 5229, 8616, 11, 257, 5007, 3530, 20426, 11, 2540, 2263, 2376, 3080, 286, 8509, 351, 683, 284, 968, 1971, 284, 307, 2702, 287, 22847, 7000, 13, 1375, 3888, 262, 3957, 1597, 503, 286, 607, 9592, 290, 656, 607, 15591, 11, 788, 656, 257, 8860, 287, 16236, 13, 371, 341, 278, 1141, 2159, 1810, 2873, 4137, 607, 284, 2005, 736, 3227, 2233, 284, 262, 10770, 11500, 286, 3081, 9391, 13, 554, 21709, 11, 19579, 4721, 257, 3660, 5068, 38164, 287, 5414, 11152, 11, 14493, 11, 290, 2582, 706, 2087, 6134, 287, 9486, 290, 9589, 13, 198, 198, 2202, 257, 5296, 284, 2031, 287, 262, 11445, 82, 11, 17421, 5116, 5071, 14996, 11311, 14746, 326, 673, 4762, 561, 307, 2968, 287, 262, 1578, 1829, 13, 1375, 5839, 262, 2489, 284, 4439, 290, 3677, 606, 11, 290, 262, 4307, 4612, 425, 45305, 1627, 373, 4642, 13, 4698, 607, 4542, 11, 24346, 3130, 11272, 3767, 284, 4292, 656, 584, 3186, 11, 1390, 12912, 41738, 3709, 290, 11, 1568, 11, 262, 3561, 11084, 26906, 8469, 263, 422, 14679, 13, 554, 20510, 11, 673, 2702, 262, 1597, 284, 262, 14327, 34011, 5834, 329, 720, 2078, 1510, 290, 2627, 262, 717, 2415, 284, 4691, 319, 663, 3096, 286, 13445, 13, 1375, 9859, 319, 607, 3725, 290, 1998, 284, 3551, 383, 19579, 17421, 5116, 24346, 3130, 11272, 8261, 2070, 287, 19342, 11, 543, 373, 262, 717, 4255, 2070, 1683, 284, 787, 262, 968, 1971, 3782, 6705, 46555, 1351, 13, 198, 198, 464, 24346, 3130, 11272, 11112, 318, 1912, 319, 262, 402, 1585, 9212, 287, 14818, 10711, 11, 10140, 11, 543, 14275, 262, 1664, 351, 4764, 10860, 286, 2187, 17135, 10601, 9651, 422, 26352, 284, 15904, 13, 198, 198, 48650, 220, 198, 6435, 2848, 3130, 11272, 3186, 2291, 3561, 11084, 8469, 364, 11, 20328, 286, 8509, 11, 290, 1811, 3951, 286, 14746, 13, 5334, 14746, 389, 11266, 656, 734, 3951, 11, 262, 4307, 4612, 425, 1627, 290, 262, 11272, 4803, 1627, 13, 5501, 2099, 286, 19751, 422, 262, 366, 20344, 4612, 425, 1, 1627, 318, 3706, 329, 257, 3427, 1748, 884, 355, 262, 4460, 5733, 19751, 393, 262, 16445, 19751, 13, 383, 4307, 4612, 1083, 2314, 307, 14704, 35108, 416, 1363, 275, 3979, 13, 554, 6273, 11, 262, 11272, 4803, 1627, 31648, 33488, 14746, 588, 11311, 11594, 290, 1790, 29573, 3858, 326, 2687, 714, 28450, 329, 2405, 287, 281, 8850, 1363, 9592, 13, 198, 198, 8053, 286, 24346, 3130, 11272, 3186, 198, 27730, 286, 24346, 3130, 11272, 3186, 2291, 25, 198, 198, 6214, 635, 198, 7343, 286, 46412, 444, 198, 7343, 286, 4508, 1438, 8509, 82, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 198, 33, 3110, 444, 286, 262, 1578, 1829, 198, 38416, 1438, 8509, 82, 198, 38416, 1438, 8469, 364, 198, 21111, 7923, 34011, 5834, 11394, 198, 49111, 1912, 287, 5414, 11152, 11, 14493 ]

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

[ 257, 1524, 287, 790, 28830, 290, 1688, 12506, 286, 262, 6403, 1080, 13, 383, 13855, 30170, 867, 5107, 286, 5341, 11, 355, 880, 355, 19518, 326, 373, 407, 1614, 25453, 287, 3450, 26, 2158, 11, 2383, 711, 18351, 2337, 290, 39939, 750, 19032, 14740, 11, 884, 355, 4502, 36358, 290, 262, 5833, 7199, 10243, 286, 3700, 13889, 338, 13580, 13, 8838, 338, 21399, 46360, 1242, 3432, 257, 4334, 13592, 355, 257, 1255, 286, 797, 1161, 7196, 38679, 8597, 13, 12547, 28229, 3653, 290, 7912, 2900, 284, 14589, 25720, 11, 7186, 287, 262, 46240, 286, 11905, 29396, 13055, 45926, 290, 7714, 13, 383, 797, 1161, 5854, 1417, 4928, 10959, 11, 351, 649, 14422, 3170, 290, 4683, 14422, 16573, 329, 42878, 2594, 11, 3573, 416, 12560, 262, 17472, 15544, 49714, 287, 262, 4928, 11, 355, 32037, 373, 379, 262, 7372, 286, 11892, 13, 383, 797, 1161, 635, 550, 257, 6049, 2928, 319, 4928, 2647, 11, 351, 3496, 4266, 4838, 866, 11, 1727, 17062, 47302, 11, 2647, 3835, 290, 36578, 6572, 11, 290, 16613, 4615, 422, 14422, 13, 2312, 547, 6928, 416, 262, 30663, 864, 13777, 286, 279, 21680, 907, 11, 3805, 6370, 286, 3700, 13889, 284, 1006, 633, 262, 3496, 4266, 290, 442, 6864, 13777, 13, 6926, 8618, 649, 9856, 12779, 290, 5737, 2826, 257, 1688, 636, 287, 262, 3160, 286, 867, 1466, 11, 475, 1466, 547, 5716, 355, 12954, 832, 36582, 329, 629, 33266, 11, 22679, 11, 290, 48646, 13, 11905, 25310, 1042, 373, 5670, 319, 262, 9111, 11, 290, 3599, 287, 262, 1568, 10037, 28117, 4289, 612, 561, 307, 4040, 284, 17977, 503, 2968, 4568, 9569, 355, 23510, 25253, 393, 48461, 13, 383, 13855, 2627, 262, 2426, 286, 2260, 11293, 290, 867, 33860, 2497, 511, 1499, 355, 257, 649, 2692, 13, 198, 198, 6719, 12, 3041, 1161, 8838, 198, 198, 6719, 12, 3041, 1161, 4564, 198, 198, 1273, 5620, 198, 20298, 414, 4104, 287, 8838, 422, 262, 11695, 16980, 952, 327, 20954, 283, 2275, 14774, 494, 402, 271, 647, 78, 357, 22, 2693, 15533, 784, 1467, 2901, 1946, 8, 373, 257, 31021, 84, 22931, 44185, 508, 2826, 355, 257, 2651, 13, 5856, 465, 3451, 11, 339, 2826, 329, 2631, 12654, 283, 349, 11, 810, 339, 1839, 262, 19322, 6955, 64, 5261, 83, 324, 2850, 290, 262, 4225, 35415, 5454, 13, 220, 679, 373, 4642, 287, 36421, 284, 4141, 2988, 290, 7897, 2802, 13, 198, 198, 42350, 3451, 198, 28524, 287, 22489, 15588, 11, 2275, 14774, 494, 635, 2826, 287, 8031, 357, 6738, 25190, 284, 20033, 8, 351, 5215, 12162, 290, 1004, 535, 78, 13, 554, 2472, 339, 2826, 41530, 317, 12713, 7466, 290, 7781, 3261, 4661, 13, 1550, 2310, 3426, 5472, 339, 4504, 706, 7175, 812, 284, 5215, 10071, 11, 379, 520, 324, 952, 39139, 19130, 20066, 11, 1141, 41530, 347, 2872, 1028, 2295, 79, 11106, 13, 198, 198, 24274, 3451, 198, 1890, 262, 36421, 2260, 1074, 11, 2275, 14774, 494, 6492, 2608, 11022, 1022, 26352, 290, 19322, 11, 9689, 1478, 4661, 13, 679, 14888, 287, 262, 24718, 21285, 2159, 5454, 290, 7781, 734, 4661, 287, 257, 1448, 2872, 1028, 8838, 13, 198, 198, 17784, 263, 7869, 198, 198, 24274, 198, 7416, 25, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 1129, 1270, 27244, 198, 4967, 7040, 198, 18153, 15332, 422, 22489, 15588, 198, 52, 2143, 84, 22931, 661, 286, 4141, 18598, 198, 52, 2143, 84, 22931, 661, 286, 7897, 18598, 198, 8021, 41003, 4346, 22052, 198, 52, 2143, 84, 22931, 4346, 364, 198, 52, 2143, 30106, 3230, 4346, 364, 198, 1129, 4051, 21285, 2159, 5454, 1938, 198, 6435, 12654, 283, 349, 1938, 198, 13746, 12162, 327, 13, 37, 13, 34, 13, 1938, 198, 9771, 66, 952, 1004, 535, 78, 34463, 1938, 198, 52, 2143, 84, 22931, 11460, 8607, 4777, 23267, 18840, 1938, 198, 7089, 494, 317, 1938, 198, 52, 2143, 84, 22931, 1033, 26646, 378, 4346, 364, 198, 3109, 8071, 380, 378, 4346, 364, 287, 8031, 198, 52, 2143, 84, 22931, 4346, 11663, 198, 21174, 549, 952, 376, 13, 34, 13, 11663, 271, 257, 1966, 4960, 4346, 2137, 13, 679, 2826, 329, 2869, 2260, 1074, 13, 198, 198, 42350, 3451, 198, 2484, 320, 11329, 373, 4642, 287, 42922, 319, 2579, 3389, 15231, 13, 2293, 30024, 422, 1029, 1524, 11, 339, 5399, 2986, 69, 8344, 344, 42922, 287, 9162, 13, 679, 750, 407, 711, 867, 7466, 1566, 262, 3095, 6303, 82, 11, 355, 339, 373, 2157, 16385, 84, 3972, 6669, 988, 6909, 290, 16385, 388, 15462, 23043, 5733, 13, 23043, 5733, 1364, 262, 3430, 287, 8309, 290, 6669, 988, 6909, 373, 6686, 287, 7795, 26, 31698, 11329, 788, 2627, 257, 3218, 26318, 287, 7795, 13, 4900, 339, 2826, 355, 262, 3218, 26318, 1566, 4343, 11, 339, 12605, 257, 10329, 5095, 326, 976, 614, 13, 679, 750, 407, 711, 422, 3648, 290, 9880, 379, 262, 886, 286, 262, 3050, 1622, 13, 198, 198, 16186, 1074, 3451, 198, 818, 3035, 8735, 11, 31698, 11329, 373, 6163, 284, 262, 2869, 471, 12, 1238, 2260, 1074, 329, 262, 8735, 2159, 17582, 10749, 13, 679, 2826, 734, 7466, 1390, 262, 3860, 20311, 13, 554, 2901, 8235, 11, 339, 373, 635, 6163, 284, 262, 2869, 471, 12, 1954, 2260, 1074, 329, 262, 8235, 10216, 14935, 13, 2102, 339, 750, 407, 711, 287, 597, 7466, 2157, 28563, 1134, 19231, 23043, 363, 22200, 13, 4900, 2869, 1839, 734, 7466, 11, 2869, 34710, 287, 262, 717, 2835, 13, 1629, 428, 640, 11, 2869, 4405, 7595, 287, 262, 717, 983, 13, 632, 373, 1900, 355, 262, 366, 27453, 6008, 286, 8437, 1, 357, 20115, 11482, 11839, 27542, 15474, 98, 229, 164, 115, 94, 8, 287, 2869, 13, 198, 198, 2202, 3261, 2805, 7358, 11, 31698, 11329, 26376, 329, 262, 2869, 2260, 1074, 1028, 7595, 13, 679, 373, 635, 6163, 416, 2869, 329, 262, 4751, 7740, 5454, 13, 4900, 339, 750, 407, 711, 287, 597, 7466, 11, 2869, 1839, 262, 7756, 13, 198, 198, 42350, 7869, 198, 198, 16186, 1074, 7869, 198, 198, 16186, 1074, 198, 4751, 7740, 5454, 357, 1925, 4350, 8, 198, 198, 16186, 1074, 32619, 20595, 198, 198, 47569, 287, 8386, 38558, 1756, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 220, 198, 2869, 2351, 9957, 4816, 24047, 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 ]

[ 39697, 1981, 12503, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 4944, 3975, 286, 262, 29364, 286, 2011, 363, 10989, 5665, 198, 198, 16979, 4817, 4113, 287, 2011, 363, 10989, 5665, 464, 3115, 85, 1710, 33374, 318, 257, 20693, 2607, 739, 6638, 1099, 11, 6198, 2727, 284, 3342, 287, 262, 9904, 286, 644, 373, 788, 530, 286, 262, 995, 338, 4387, 22010, 18446, 11, 262, 21888, 33287, 1505, 11517, 13, 632, 783, 3769, 5608, 517, 4143, 319, 257, 705, 4421, 2837, 286, 5654, 6067, 290, 9691, 12, 5363, 6142, 2428, 286, 2260, 6817, 11, 1390, 26, 2511, 15071, 6067, 290, 19690, 49297, 14903, 290, 4542, 4458, 383, 3115, 85, 1710, 33374, 318, 17169, 355, 257, 7297, 1626, 262, 2732, 286, 262, 9344, 11, 5638, 11, 18518, 290, 262, 11536, 13, 198, 198, 6214, 635, 198, 52, 2596, 1505, 9691, 287, 4505, 198, 52, 2596, 1505, 9691, 287, 31250, 324, 84, 2351, 3250, 198, 198, 19927, 198, 198, 41506, 6117, 198, 31441, 9985, 357, 3237, 23823, 18280, 17718, 8, 2191, 15524, 198, 12442, 85, 1710, 33374, 5079, 3136, 198, 198, 17227, 14298, 5070, 5942, 286, 4505, 198, 31441, 286, 4505, 198, 26093, 5275, 7030, 198, 52, 2596, 1505, 9691, 287, 4505, 35, 2271, 11, 27026, 220, 318, 257, 7404, 2478, 5583, 287, 2011, 363, 10989, 5665, 287, 262, 360, 15194, 363, 14783, 13035, 286, 8830, 12, 31463, 27026, 13, 1629, 262, 640, 286, 262, 10249, 27026, 21649, 340, 550, 257, 3265, 286, 1596, 5774, 661, 2877, 287, 39260, 1981, 12503, 13, 198, 198, 21756, 198, 35, 2271, 373, 257, 2245, 1863, 262, 1468, 8268, 7313, 6339, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 4944, 3975, 286, 262, 29364, 286, 2011, 363, 10989, 5665, 198, 198, 16979, 4817, 4113, 287, 2011, 363, 10989, 5665, 32708, 47562, 220, 318, 257, 7404, 2478, 5583, 287, 2011, 363, 10989, 5665, 287, 262, 360, 15194, 363, 14783, 13035, 286, 8830, 12, 31463, 27026, 13, 1629, 262, 640, 286, 262, 10249, 27026, 21649, 340, 550, 257, 3265, 286, 2579, 1129, 661, 2877, 287, 642, 5332, 1981, 12503, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 4944, 3975, 286, 262, 29364, 286, 2011, 363, 10989, 5665, 198, 198, 16979, 4817, 4113, 287, 2011, 363, 10989, 5665, 13603, 396, 7637, 11, 2011, 363, 10989, 220, 318, 257, 7404, 2478, 5583, 287, 2011, 363, 10989, 5665, 287, 262, 360, 15194, 363, 14783, 13035, 286, 8830, 12, 31463, 27026, 13, 1629, 262, 640, 286, 262, 10249, 27026, 21649, 340, 550, 257, 3265, 286, 3933, 1495, 661, 2877, 287, 718, 1507, 1981, 12503, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 4944, 3975, 286, 262, 29364, 286, 2011, 363, 10989, 5665, 198, 198, 16979, 4817, 4113, 287, 2011, 363, 10989, 5665, 464, 5878, 1906, 2999, 46950, 10692, 12588, 373, 262, 16974, 8313, 286, 262, 1088, 12, 1169, 12, 6894, 28499, 1785, 46950, 10692, 12588, 11, 290, 262, 717, 739, 262, 1438, 46950, 10692, 12588, 13, 1114, 262, 5878, 1906, 2999, 262, 27418, 286, 262, 3234, 373, 2077, 625, 416, 46950, 290, 46950, 25277, 13, 383, 3234, 373, 25121, 262, 46950, 10692, 12588, 13, 13707, 13801, 547, 2087, 287, 4486, 11, 4881, 11, 290, 10710, 852, 262, 46950, 338, 1115, 4094, 1097, 5939, 287, 2031, 13, 554, 3090, 262, 2173, 1080, 550, 587, 9518, 5566, 287, 281, 3626, 284, 1394, 262, 3234, 7606, 1566, 262, 2457, 1232, 13, 383, 2180, 366, 13033, 1, 3234, 1719, 587, 6840, 1839, 734, 1336, 7405, 878, 262, 2457, 2485, 13, 198, 198, 7554, 509, 455, 68, 49108, 11, 508, 550, 763, 12, 8135, 3974, 1068, 351, 4502, 14006, 319, 25774, 494, 14954, 287, 262, 8309, 284, 7795, 13183, 29573, 284, 1049, 1245, 11, 3144, 1328, 465, 717, 46950, 10692, 3234, 8464, 287, 6244, 13, 2195, 64, 2275, 75, 726, 338, 649, 24185, 15936, 8173, 8302, 845, 2068, 11, 475, 407, 2407, 2068, 1576, 11, 981, 890, 640, 13183, 29573, 1341, 14710, 12181, 33261, 338, 734, 8848, 11150, 5344, 6989, 11234, 422, 257, 3092, 286, 11824, 640, 357, 1169, 33391, 16659, 547, 938, 287, 262, 1660, 737, 198, 198, 1890, 3564, 513, 11, 331, 620, 912, 5399, 262, 14133, 6638, 5878, 11852, 284, 17073, 433, 575, 19725, 12588, 326, 6140, 319, 35921, 3596, 357, 1169, 1110, 706, 6786, 3596, 737, 198, 198, 34363, 1187, 198, 198, 44203, 290, 29189, 14115, 11, 1341, 16415, 286, 8976, 16659, 11, 389, 5229, 290, 3656, 13, 198, 198, 43401, 198, 198, 25468, 198, 198, 19927, 198, 198, 41506, 6117, 198, 16186, 33636, 338, 46950, 10692, 12588, 532, 2351, 33636, 198, 198, 16598, 13038, 10692, 12588, 198, 16598, 13038, 10692, 12588, 11, 5878, 12, 2999, 198, 16598, 13038, 10692, 12588, 11, 5878, 12, 2999, 198, 16942, 287, 968, 8936, 6332, 35, 8455, 11, 27026, 220, 318, 257, 7404, 2478, 5583, 287, 2011, 363, 10989, 5665, 287, 262, 360, 15194, 363, 14783, 13035, 286, 8830, 12, 31463, 27026, 13, 1629, 262, 640, 286, 262, 10249, 27026, 21649, 340, 550, 257, 3265, 286, 1511, 1314, 661, 2877, 287, 40385, 1981, 12503, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 4944, 3975, 286, 262, 29364, 286, 2011, 363, 10989, 5665, 198, 198, 16979, 4817, 4113, 287, 2011, 363, 10989, 5665, 38, 333, 6592, 5311, 3216, 220, 318, 257, 7404, 2478, 5583, 287, 2011, 363, 10989, 5665, 287, 262, 360, 15194, 363, 14783, 13035, 286, 8830, 12, 31463, 27026, 13, 1629, 262, 640, 286, 262, 10249, 27026, 21649, 340, 550, 257, 3265, 286, 807, 4524, 661, 2877, 287, 13454, 1981, 12503, 13, 632, 318, 530, 286, 262, 867, 15425, 287, 2011, 324, 12397, 4783, 20736, 30671, 416, 609, 71, 46098, 282, 661, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 4944, 3975, 286, 262, 29364, 286, 2011, 363, 10989, 5665, 198, 198, 16979, 4817, 4113, 287, 2011, 363, 10989, 5665, 13749, 7637, 13314, 7344, 220, 318, 257, 7404, 2478, 5583, 287, 2011, 363, 10989, 5665, 287, 262, 360, 15194, 363, 14783, 13035, 286, 8830, 12, 31463, 27026, 13, 1629, 262, 640, 286, 262, 10249, 27026, 21649, 340, 550, 257, 3265, 286, 15629, 21, 661, 2877, 287, 642, 1415, 1981, 12503, 13, 5590, 7637, 13314, 7344, 749, 18473, 4136, 287, 2011, 363, 10989, 5665, 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 ]

[ 25, 1495, 71, 13, 198, 198, 9921, 282, 1023, 198, 198, 19006, 198, 198, 13900, 72, 12, 19006, 198, 1544, 335, 319, 3431, 7358, 12, 2919, 12, 1731, 198, 198, 4507, 2571, 12, 32089, 198, 1544, 335, 319, 3321, 7358, 12, 2919, 12, 1954, 198, 198, 1544, 1381, 198, 1544, 335, 319, 3321, 7358, 12, 2919, 12, 1954, 198, 198, 19927, 198, 220, 198, 198, 39, 198, 50, 4798, 34283, 379, 262, 2159, 32646, 24782, 44960, 2635, 338, 318, 257, 2318, 287, 968, 12255, 1900, 329, 5637, 1280, 3805, 16004, 33251, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 220, 198, 198, 34, 6456, 286, 968, 12255, 198, 6187, 8040, 33228, 287, 968, 12255, 19399, 38198, 43245, 318, 281, 1605, 1703, 16966, 3064, 1099, 4081, 9393, 287, 8857, 287, 41435, 416, 37016, 5426, 290, 33617, 449, 13, 38198, 13, 198, 198, 18122, 198, 4863, 5075, 284, 3050, 11, 262, 4081, 9902, 422, 838, 9730, 284, 1315, 9730, 11, 788, 284, 2681, 9730, 287, 2864, 13, 1550, 3269, 352, 11, 1584, 11, 5426, 38198, 23791, 351, 20455, 1099, 4081, 9385, 268, 16288, 27094, 487, 1222, 48007, 6148, 13, 1550, 2693, 1160, 11, 2864, 11, 5426, 38198, 3414, 663, 24589, 351, 4176, 8877, 27715, 3822, 4375, 11323, 14449, 1973, 2237, 7064, 284, 262, 4081, 11, 11581, 5426, 38198, 338, 24713, 656, 262, 21199, 13, 198, 198, 45533, 6593, 198, 19399, 38198, 318, 257, 1336, 12, 15271, 1099, 4081, 1900, 3573, 329, 262, 4202, 286, 663, 6416, 23015, 11, 48297, 24382, 1222, 35686, 9747, 11, 5018, 3622, 948, 1222, 8324, 1356, 870, 11, 11058, 11, 25659, 7065, 11, 42443, 14161, 290, 7882, 290, 24656, 6593, 13, 383, 4081, 318, 635, 3177, 257, 1910, 3554, 287, 1728, 4047, 17153, 11798, 11, 749, 14660, 28838, 290, 14426, 13, 198, 198, 1722, 286, 2901, 12131, 11, 262, 4081, 14051, 422, 2681, 9730, 1973, 262, 1578, 1829, 13, 198, 198, 19927, 198, 198, 16966, 9611, 4920, 287, 41435, 198, 1129, 2998, 33228, 287, 9589, 198, 16966, 9611, 1912, 287, 8857, 7293, 3372, 84, 385, 318, 9133, 329, 8811, 32703, 276, 11, 290, 12891, 1690, 973, 287, 262, 5107, 556, 263, 552, 3372, 84, 385, 357, 11321, 46753, 1956, 8, 290, 552, 3372, 13814, 357, 1169, 2219, 46753, 737, 554, 262, 1903, 17146, 11, 612, 547, 1115, 6982, 286, 1956, 25, 2839, 11, 1171, 290, 2219, 46753, 13, 383, 17210, 317, 2164, 10312, 11, 326, 8766, 1143, 262, 4683, 3074, 706, 262, 1956, 12506, 11, 900, 7095, 319, 703, 881, 17025, 281, 1981, 714, 7933, 2736, 319, 556, 263, 552, 3372, 84, 385, 1231, 1719, 284, 1414, 40789, 13, 198, 198, 3646, 330, 268, 1047, 198, 1212, 6156, 3381, 318, 991, 17232, 287, 617, 21957, 268, 1047, 287, 360, 1156, 258, 25, 198, 33, 32270, 12, 7293, 3372, 13814, 198, 10161, 647, 12, 7293, 3372, 13814, 198, 198, 19927, 198, 198, 10262, 1173, 8596, 1956, 29874, 3700, 376, 13, 12812, 11, 19340, 5673, 357, 1959, 3035, 49584, 784, 1987, 2805, 24648, 8, 373, 281, 3594, 6802, 508, 3111, 287, 20629, 11, 1660, 49903, 290, 2123, 10813, 13, 198, 198, 14662, 290, 670, 198, 33, 623, 373, 4642, 287, 49584, 287, 36889, 634, 11, 36889, 11, 4492, 13, 2399, 2988, 11, 6219, 12812, 373, 262, 20429, 283, 286, 520, 3700, 6, 4564, 11, 36889, 634, 13, 1649, 339, 373, 286, 2479, 11, 13514, 373, 1908, 284, 257, 25523, 1524, 287, 46123, 13, 198, 198, 3260, 4305, 1524, 11, 12812, 3888, 284, 3576, 284, 20062, 319, 465, 17290, 3451, 11, 11065, 1242, 379, 24253, 1636, 338, 11, 379, 3561, 21453, 82, 6, 5535, 290, 379, 262, 5694, 3961, 286, 11536, 290, 15745, 82, 13, 679, 717, 3576, 2209, 373, 287, 520, 11899, 533, 912, 12, 261, 12, 817, 1047, 11, 878, 3867, 284, 1815, 5973, 2763, 287, 35145, 11, 788, 21335, 11, 878, 25446, 287, 16940, 11, 287, 25859, 13, 5856, 262, 3274, 2159, 1810, 11, 12812, 4983, 287, 262, 8111, 8565, 11, 8384, 319, 262, 949, 417, 8369, 11026, 5361, 422, 2113, 11451, 13, 4525, 867, 7912, 11, 3576, 8302, 257, 26817, 329, 12812, 543, 318, 10678, 287, 465, 6409, 2123, 354, 654, 290, 21641, 286, 262, 1748, 13, 12812, 635, 38931, 30017, 7481, 290, 373, 7018, 257, 2888, 286, 262, 8111, 7023, 286, 11000, 37599, 290, 262, 370, 5912, 4912, 286, 37599, 13, 679, 4920, 257, 8034, 319, 37729, 437, 13762, 287, 262, 976, 2615, 973, 416, 42521, 7850, 14982, 13, 5856, 25190, 11, 428, 17748, 12, 2256, 8034, 2627, 262, 4634, 329, 257, 1271, 286, 370, 5912, 4912, 9392, 8292, 810, 1866, 714, 8537, 284, 867, 286, 262, 14982, 13, 12812, 25212, 1690, 287, 262, 3139, 11, 351, 2237, 21641, 3402, 379, 262, 8111, 8581, 1022, 34463, 290, 25859, 13, 198, 198, 19927, 198, 198, 1507, 3459, 27244, 198, 1129, 3365, 7040, 198, 1238, 400, 12, 14792, 3517, 3601, 6620, 198, 1238, 400, 12, 14792, 3594, 2356, 1010, 198, 2348, 25402, 286, 262, 24253, 1636, 3961, 286, 17867, 3683, 198, 15823, 2123, 3533, 198, 15823, 4257, 2356, 1010, 198, 8061, 422, 36889, 634, 11, 42125, 198, 41861, 8565, 8213, 286, 2159, 1810, 314, 198, 2348, 25402, 286, 3561, 21453, 82, 11, 2059, 286, 3576, 198, 25631, 16050, 7912, 464, 4885, 22408, 36444, 290, 16656, 16894, 5834, 373, 257, 4074, 9413, 326, 12228, 379, 4347, 13514, 11, 10553, 11, 783, 636, 286, 9850, 4696, 11, 319, 6233, 22953, 422, 32216, 284, 9656, 13, 383, 4074, 9413, 373, 4920, 287, 41507, 290, 25121, 287, 32811, 355, 262, 4347, 13514, 16656, 16894, 5834, 13, 383, 12699, 4838, 287, 9656, 13, 632, 37415, 355, 257, 9185, 12699, 6233, 2256, 11000, 290, 19034, 11, 2158, 326, 13189, 4054, 287, 1946, 13, 220, 198, 1722, 286, 1584, 11, 262, 4074, 9413, 373, 8155, 416, 367, 6048, 293, 11000, 13, 632, 318, 12228, 416, 367, 6048, 293, 11000, 287, 10413, 351, 14236, 3876, 3395, 874, 3457, 11, 286, 9850, 4696, 13, 383, 13189, 13692, 319, 4074, 9185, 2594, 290, 7374, 3830, 929, 3689, 13, 220, 198, 198, 20459, 5894, 23423, 290, 12437, 547, 12006, 287, 31953, 290, 5140, 379, 38234, 6252, 379, 262, 3257, 10183, 886, 286, 262, 9850, 4696, 39720, 13, 383, 1664, 3170, 290, 27457 ]

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

[ 12588, 352, 13, 198, 198, 14402, 11845, 290, 2482, 198, 383, 717, 1448, 1332, 373, 379, 3254, 293, 75, 2150, 64, 11, 8031, 290, 4966, 422, 2932, 718, 1906, 23, 13, 1446, 463, 5142, 3811, 15097, 547, 262, 14162, 1074, 319, 477, 1115, 1528, 351, 6643, 5199, 2141, 1211, 39565, 290, 47319, 28092, 13762, 1962, 19830, 5137, 287, 262, 3049, 24590, 11, 329, 262, 9784, 484, 561, 1568, 467, 319, 284, 3234, 329, 13, 14481, 284, 262, 4756, 2835, 11, 734, 1332, 10991, 379, 2094, 9557, 3250, 11, 3482, 319, 2932, 2310, 290, 2579, 2252, 4193, 262, 5006, 290, 340, 373, 262, 6087, 286, 376, 5653, 4037, 290, 2039, 1173, 78, 309, 13966, 330, 22126, 329, 317, 13, 50, 13, 29600, 508, 547, 14162, 319, 1111, 12432, 13, 198, 198, 1925, 4350, 1056, 33864, 198, 198, 19927, 198, 198, 41506, 6117, 198, 3115, 19316, 19639, 15934, 15887, 198, 569, 1065, 14954, 25, 13362, 3115, 19316, 19639, 24964, 578, 11175, 628, 220, 198, 12442, 19316, 19639, 198, 12442, 19316, 19639, 1622, 198, 12442, 19316, 19639, 464, 13146, 10813, 695, 5374, 83, 394, 1211, 318, 257, 8598, 286, 262, 6206, 2771, 46312, 11, 5140, 5366, 286, 1215, 417, 65, 375, 268, 287, 262, 6206, 2771, 33753, 1044, 13, 632, 15677, 82, 262, 1985, 301, 4604, 268, 282, 79, 319, 663, 8830, 1735, 13, 198, 198, 19927, 198, 198, 41506, 6117, 628, 13146, 10813, 695, 5374, 83, 394, 1211, 319, 39790, 81, 198, 198, 35452, 1299, 286, 262, 46312, 198, 35452, 1299, 286, 14679, 198, 35452, 1299, 286, 262, 18548, 261, 286, 6206, 198, 7571, 12, 400, 29910, 364, 286, 14679, 30098, 3099, 367, 1697, 324, 7745, 452, 2616, 5311, 7063, 272, 357, 26, 4642, 604, 2693, 6303, 8, 318, 257, 13053, 17463, 260, 277, 12137, 13, 1375, 6622, 257, 22101, 18279, 422, 1111, 262, 1584, 10216, 14935, 290, 262, 2321, 10216, 14935, 290, 318, 257, 1440, 12, 2435, 2159, 8783, 357, 6390, 11, 1946, 11, 2177, 290, 13130, 8, 290, 1936, 12, 2435, 3427, 8783, 13, 1375, 373, 11514, 1074, 8783, 287, 262, 3648, 10216, 14935, 11, 5403, 2159, 1074, 8783, 357, 10531, 290, 2211, 8, 290, 5403, 3427, 1074, 8783, 13, 5311, 7063, 272, 373, 3706, 16076, 286, 262, 614, 379, 262, 3717, 13053, 9896, 286, 7092, 13212, 13304, 13, 1375, 11589, 19189, 257, 1964, 3451, 13, 198, 198, 30228, 1204, 198, 33155, 7063, 272, 373, 4642, 287, 2011, 74, 5708, 452, 11, 257, 4074, 16894, 3240, 287, 262, 5366, 286, 7049, 13, 2332, 2988, 373, 257, 28499, 290, 14899, 3985, 11, 290, 7817, 607, 284, 9422, 618, 673, 373, 991, 257, 5156, 13, 679, 635, 8824, 2971, 276, 355, 257, 5103, 8383, 290, 257, 16212, 4639, 13, 2332, 2802, 3111, 355, 257, 34537, 290, 458, 459, 11882, 13, 198, 198, 33155, 7063, 272, 717, 1393, 373, 287, 15360, 11, 475, 262, 11658, 547, 1165, 5789, 329, 607, 3397, 13, 1649, 673, 373, 838, 11, 607, 5770, 11358, 11, 17463, 260, 3985, 28880, 3366, 911, 46965, 283, 11, 5220, 673, 1011, 510, 39244, 11, 810, 262, 11658, 547, 1479, 13, 1375, 1625, 739, 262, 3047, 286, 3683, 368, 3661, 273, 482, 2065, 11, 508, 3793, 607, 3985, 355, 286, 1946, 13, 2332, 717, 1943, 373, 262, 2260, 20000, 3670, 11, 1839, 618, 673, 373, 691, 1511, 1028, 17366, 510, 284, 1936, 812, 4697, 13, 198, 198, 33155, 7063, 272, 373, 15657, 379, 262, 24646, 15841, 42737, 2351, 2059, 286, 16656, 16894, 287, 2011, 74, 5708, 452, 13, 1375, 6405, 5891, 17463, 260, 277, 12137, 360, 1820, 23528, 3248, 12125, 287, 2932, 1946, 13, 1119, 25107, 1568, 13, 198, 198, 18153, 3451, 198, 33155, 7063, 272, 5399, 262, 13053, 2260, 1074, 379, 262, 2479, 286, 1478, 13, 2332, 717, 18279, 287, 281, 3230, 5449, 373, 257, 22101, 287, 262, 5075, 20000, 2159, 24782, 287, 5164, 89, 13, 673, 635, 1718, 257, 8465, 18279, 287, 262, 1074, 1785, 13, 1320, 976, 614, 11, 673, 4251, 262, 3860, 12, 32089, 287, 262, 5075, 3427, 376, 9532, 24782, 379, 1168, 6081, 1533, 364, 89, 1533, 3805, 991, 852, 257, 20603, 316, 13, 554, 4793, 11, 673, 4624, 1218, 287, 262, 4793, 3427, 2311, 12706, 376, 9532, 10749, 379, 34754, 108, 89, 10793, 706, 257, 1969, 1478, 1906, 1314, 7433, 1028, 3284, 338, 1406, 12463, 3972, 17378, 1134, 11729, 13, 198, 198, 2953, 262, 2479, 286, 1596, 5311, 7063, 272, 1718, 636, 287, 262, 3648, 10216, 14935, 379, 11618, 13, 554, 262, 1074, 1785, 11, 7049, 925, 511, 835, 284, 262, 2457, 11, 810, 484, 1138, 2807, 13, 5311, 7063, 272, 8639, 517, 621, 2063, 607, 1074, 338, 7127, 290, 8302, 21112, 287, 262, 938, 18222, 5742, 7049, 1592, 262, 3869, 18279, 13, 198, 198, 818, 262, 3648, 1906, 2931, 1622, 5311, 7063, 272, 1839, 262, 3869, 18279, 379, 262, 3427, 24782, 287, 1345, 709, 7146, 1111, 287, 262, 1981, 290, 262, 1074, 1785, 11, 810, 7049, 49490, 3284, 13, 1629, 262, 2159, 24782, 287, 3738, 3400, 64, 11, 5311, 7063, 272, 1752, 757, 925, 607, 835, 284, 262, 2457, 11, 691, 284, 307, 5025, 416, 1526, 8207, 1168, 363, 403, 271, 13, 1375, 373, 3417, 355, 366, 505, 286, 262, 749, 3718, 32346, 18054, 287, 428, 6536, 13, 1375, 318, 1541, 11831, 290, 6414, 11, 475, 2029, 477, 673, 318, 262, 3491, 286, 262, 2003, 526, 554, 262, 1074, 1785, 11, 7049, 9772, 4881, 287, 262, 2457, 284, 1282, 1497, 351, 262, 3869, 18279, 13, 1114, 428, 2854, 5311, 7063, 272, 290, 607, 1074, 547, 3706, 8148, 16076, 290, 1074, 286, 262, 614, 379, 262, 13053, 9896, 286, 7092, 6280, 10542, 2714, 287, 3035, 3050, 13, 198, 198, 818, 262, 3717, 1906, 940, 1622, 5311, 7063, 272, 1839, 607, 5544, 20000, 2159, 10749, 287, 257, 5752, 11, 1602, 9221, 262, 1700, 4920, 416, 35437, 2806, 25194, 287, 262, 9507, 82, 13, 1375, 318, 2158, 262, 691, 277, 12137, 284, 423, 4752, 777, 12785, 3869, 82, 1111, 287, 262, 1981, 290, 1074, 2995, 13, 1375, 373, 9772, 416, 4486, 338, 311, 571, 2645, 293, 15983, 3020, 287, 262, 3860, 12, 32089, 286, 262, 3427, 24782, 290, 4054, 284, 5160, 257, 18279, 13, 554, 262, 1074, 1785, 7049, 1839, 3869, 706 ]

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

[ 25, 628, 17427, 19617, 2746, 7106, 6945, 262, 4876, 286, 18398, 278, 257, 3716, 1080, 290, 31378, 287, 4856, 198, 554, 8334, 4704, 42133, 22715, 262, 9706, 286, 22889, 4056, 198, 1400, 1366, 6940, 1586, 318, 2672, 198, 45157, 2649, 286, 3127, 12213, 532, 14390, 460, 307, 287, 1180, 4056, 319, 1180, 8217, 198, 198, 19352, 20597, 198, 48913, 6489, 857, 407, 1656, 284, 307, 4704, 3338, 13, 198, 198, 18925, 4493, 198, 1858, 318, 530, 584, 1195, 45, 55, 7867, 18305, 516, 3275, 6427, 4493, 1695, 329, 7020, 13, 16808, 49, 314, 5662, 357, 1640, 16290, 14, 3041, 15164, 14, 36875, 8, 416, 3409, 10918, 290, 6858, 5658, 286, 220, 327, 519, 298, 6416, 12, 7575, 11998, 11, 3457, 13, 543, 318, 3519, 284, 262, 23749, 6489, 1628, 290, 6673, 257, 1195, 45, 55, 11670, 7824, 7679, 13, 16808, 49, 318, 257, 3440, 540, 9720, 8265, 3562, 284, 307, 1195, 45, 55, 7824, 11670, 284, 15570, 2493, 278, 286, 2438, 13, 198, 198, 6214, 635, 628, 4307, 6169, 14492, 198, 4225, 12, 14681, 6946, 198, 198, 19927, 198, 198, 41506, 6117, 198, 23749, 6489, 198, 8090, 19857, 11, 23749, 6489, 12, 50, 31301, 4225, 14681, 10626, 3039, 198, 6186, 12, 30297, 262, 23749, 6489, 6378, 198, 16808, 49, 19937, 383, 19677, 5528, 66, 7020, 32169, 19937, 11, 10628, 352, 13, 19, 13, 3559, 3269, 1511, 11, 3050, 198, 16808, 49, 1377, 1195, 45, 55, 7824, 11670, 3275, 6427, 329, 7020, 198, 327, 519, 298, 6060, 16066, 3788, 4321, 2443, 357, 8201, 16808, 49, 32169, 19937, 8, 198, 198, 20344, 6169, 14492, 10959, 198, 9492, 12, 14681, 6946, 198, 19314, 9720, 3033, 26766, 24683, 318, 262, 1438, 1813, 284, 257, 2168, 286, 5186, 3294, 4326, 357, 3620, 52, 8, 6787, 37993, 287, 40718, 6787, 2139, 287, 262, 8857, 1989, 1201, 24648, 13, 220, 1081, 286, 262, 9793, 286, 262, 7698, 24683, 569, 287, 3717, 1906, 10333, 11, 612, 423, 587, 642, 10439, 286, 7698, 24683, 5006, 11, 5174, 416, 262, 7993, 5470, 874, 314, 832, 569, 4624, 706, 262, 1438, 7698, 24683, 13, 220, 383, 7698, 24683, 1438, 1625, 422, 262, 6097, 6, 22441, 25704, 7771, 1767, 7582, 11, 543, 49754, 351, 262, 13055, 357, 273, 17000, 278, 8, 6588, 7771, 6787, 37993, 973, 416, 262, 9589, 290, 11725, 12950, 21372, 1022, 32062, 290, 27653, 13, 220, 27684, 284, 262, 717, 1588, 3227, 1502, 287, 19342, 11, 262, 5006, 925, 884, 281, 10647, 326, 262, 1438, 468, 1201, 587, 5625, 284, 477, 8840, 25108, 6097, 8155, 416, 7946, 47, 5603, 329, 262, 15994, 12950, 2594, 13, 198, 198, 26766, 24683, 314, 220, 198, 198, 2061, 1625, 284, 307, 1900, 355, 262, 7698, 24683, 1148, 547, 257, 900, 286, 718, 8022, 17228, 5842, 1642, 779, 286, 8578, 338, 14879, 31437, 6711, 6787, 7718, 1486, 13, 220, 383, 718, 31437, 6711, 5006, 547, 8155, 287, 2882, 284, 262, 3649, 2479, 286, 262, 4810, 49, 338, 4904, 4051, 11026, 11, 617, 286, 543, 550, 587, 287, 2139, 1201, 32062, 13, 220, 2893, 1802, 286, 262, 4904, 4051, 82, 550, 587, 30080, 287, 11445, 351, 3220, 1176, 290, 1633, 21143, 11, 262, 1468, 5006, 991, 6989, 422, 257, 1402, 11849, 5339, 11, 1029, 3463, 290, 3595, 20309, 1871, 584, 1243, 13, 220, 1081, 584, 6787, 21372, 8197, 649, 3037, 337, 5842, 588, 262, 968, 1971, 5694, 7125, 42422, 290, 968, 21425, 5846, 405, 2168, 366, 54, 1077, 12821, 1, 262, 4810, 49, 2936, 3649, 3833, 284, 4296, 663, 11026, 13, 220, 554, 24648, 262, 4810, 49, 4624, 281, 1502, 351, 262, 8857, 12, 3106, 8578, 5834, 329, 718, 31437, 6711, 25108, 5006, 287, 734, 850, 37724, 284, 1332, 503, 2972, 3689, 13, 220, 399, 26584, 6640, 284, 20708, 262, 772, 12, 35565, 5006, 550, 33612, 7779, 13431, 290, 1221, 23746, 11, 981, 262, 5629, 12, 35565, 5006, 550, 3350, 7771, 7779, 13431, 290, 23153, 23746, 13, 220, 383, 4810, 49, 7317, 550, 7176, 284, 25108, 5006, 884, 355, 262, 31437, 2873, 3792, 287, 987, 19205, 2139, 1863, 663, 30880, 1431, 11926, 290, 262, 5006, 547, 6626, 1022, 890, 5253, 290, 20154, 10741, 13, 220, 2102, 11, 355, 4856, 1816, 319, 484, 547, 2582, 3614, 284, 20154, 2139, 287, 262, 8857, 1989, 618, 257, 1336, 12, 9888, 3227, 1502, 286, 4353, 4810, 49, 366, 26766, 24683, 1, 5006, 547, 6793, 287, 19342, 13, 198, 198, 464, 31437, 6711, 5006, 6989, 422, 257, 1877, 5339, 1388, 47385, 355, 880, 355, 7733, 3524, 2428, 290, 257, 3716, 38873, 1080, 326, 18064, 4047, 8564, 27394, 10389, 3627, 270, 1313, 13621, 7483, 21103, 351, 281, 30904, 6257, 6625, 5584, 10444, 13, 220, 16622, 15714, 540, 416, 511, 4697, 3918, 15291, 15857, 2384, 11, 262, 31437, 6711, 5006, 547, 302, 43533, 2945, 262, 7698, 24683, 1148, 618, 262, 1218, 1743, 1502, 286, 7698, 34380, 547, 6793, 422, 9281, 5593, 1879, 5834, 287, 15904, 11, 262, 12419, 12, 3792, 561, 635, 307, 8851, 26584, 35264, 284, 32996, 618, 262, 7698, 24683, 8363, 11026, 373, 6793, 287, 16489, 1906, 38449, 13, 220, 383, 718, 400, 1097, 11, 543, 561, 423, 587, 1303, 21626, 11, 550, 1541, 587, 3194, 572, 287, 281, 5778, 416, 326, 640, 13, 220, 2893, 262, 584, 7698, 24683, 4981, 477, 1625, 351, 2092, 22319, 38873, 7733, 11, 484, 714, 407, 25108, 351, 262, 2961, 7698, 24683, 314, 5006, 11, 543, 2582, 2627, 262, 5629, 39694, 287, 262, 7946, 47, 5603, 15994, 12950, 11026, 13, 554, 262, 2739, 7169, 82, 7946, 47, 5603, 8155, 257, 1271, 286, 4574, 12, 31216, 13404, 1039, 284, 2148, 1576, 9103, 2278, 5339, 284, 8058, 663, 5637, 11725, 1086, 2731, 21257, 290, 262, 7698, 24683, 1148, 416, 262, 40021, 326, 1718, 1245, 3035, 352, 11, 6303, 13, 220, 14303, 4751, 11, 262, 5006, 547, 4030, 287, 6143, 1474, 13329, 44410, 13, 4900, 612, 547, 3352, 284, 10385, 262, 5006, 656, 33334, 19138, 12, 15194, 276, 11070, 11, 7946, 47, 5603, 3443, 3066, 284, 34291, 286, 262, 11026, 2233, 284, 262, 10907, 340, 561, 423, 2077, 284, 1730, 351, 28700, 82, 287, 262, 6121, 364, 290, 262, 3092, 286, 46460, 11846, 13, 3226, 262, 642, 16997, 5006, 11, 1115, 547, 1908, 284, 262, 317, 1503, 14, 37, 3861, 1332 ]

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

[ 35884, 10350, 87, 11, 35884, 3563, 11, 290, 262, 3115, 9714, 11058, 4482, 13, 317, 39288, 2493, 373, 3414, 11, 475, 1239, 2716, 13, 198, 198, 43241, 220, 198, 198, 39807, 7193, 684, 318, 281, 1633, 5249, 27210, 983, 13, 383, 2137, 17607, 257, 15392, 10911, 351, 257, 4572, 2485, 11, 20293, 11, 290, 257, 3614, 1271, 286, 1633, 12, 1462, 12, 42029, 17455, 12798, 13, 632, 20973, 355, 257, 734, 12, 7829, 25762, 27210, 13447, 351, 1111, 22849, 290, 7606, 12881, 13, 554, 2060, 12, 7829, 4235, 393, 22849, 734, 12, 7829, 4235, 11, 612, 389, 678, 10566, 13, 554, 7606, 4235, 11, 1938, 2230, 284, 4117, 1123, 584, 338, 15392, 13, 198, 198, 464, 27210, 2196, 468, 257, 49485, 11, 15075, 10098, 17124, 319, 262, 1364, 1735, 326, 6973, 262, 20334, 286, 262, 15392, 11, 290, 28906, 1082, 42563, 13, 383, 736, 286, 262, 5852, 468, 257, 10834, 294, 8142, 618, 262, 2137, 338, 15392, 318, 2277, 13, 632, 468, 257, 4936, 1444, 366, 5305, 932, 72, 4235, 1, 543, 1838, 7348, 517, 2408, 11, 475, 635, 3578, 517, 4925, 286, 3356, 290, 460, 307, 281, 4621, 1141, 16913, 1830, 13, 198, 198, 41206, 198, 198, 26362, 220, 198, 198, 464, 983, 338, 3128, 286, 9207, 318, 5610, 416, 262, 1578, 1829, 15069, 4452, 355, 2932, 2242, 11, 10249, 13, 554, 2693, 10249, 11, 7851, 7193, 684, 373, 3402, 379, 262, 10249, 1703, 1904, 434, 1222, 7849, 6564, 2024, 5396, 357, 2390, 23621, 8, 1033, 78, 287, 10123, 9621, 13, 554, 3389, 10249, 11, 262, 983, 373, 2716, 19765, 11, 416, 29490, 287, 2869, 290, 416, 35884, 287, 2031, 13, 198, 198, 1026, 373, 49702, 284, 262, 29490, 18993, 11, 35884, 10350, 87, 11, 35884, 3563, 11, 290, 262, 3115, 9714, 11058, 4482, 13, 317, 39288, 2493, 373, 3414, 11, 475, 1239, 2716, 13, 198, 198, 3041, 4516, 220, 198, 198, 818, 262, 1578, 1829, 11, 340, 20633, 262, 797, 11002, 27210, 15907, 329, 7256, 27210, 43064, 287, 3267, 10249, 11, 290, 788, 262, 1619, 18095, 13447, 15907, 422, 3389, 10249, 284, 3945, 9768, 11, 878, 34366, 340, 757, 287, 3035, 9768, 13, 554, 2869, 11, 3776, 10850, 5610, 7851, 7193, 684, 287, 663, 2805, 1315, 11, 9768, 2071, 355, 262, 2368, 749, 12, 17212, 24826, 27210, 4326, 286, 262, 1227, 13, 198, 198, 23792, 663, 3001, 23621, 10249, 8886, 11, 383, 1881, 7093, 3688, 262, 27210, 983, 40594, 351, 309, 38995, 338, 513, 35, 15392, 18640, 3701, 32458, 357, 19891, 828, 12316, 366, 2953, 2743, 468, 3750, 772, 2252, 11, 1642, 340, 257, 1256, 4577, 284, 711, 11, 1231, 35294, 262, 13357, 286, 262, 6973, 526, 1119, 531, 326, 11, 3805, 366, 1169, 13357, 286, 262, 6973, 11, 262, 983, 318, 257, 6833, 1911, 34927, 11787, 5610, 340, 1871, 1811, 1830, 1642, 262, 366, 13466, 779, 286, 513, 12, 35, 3037, 1, 379, 262, 905, 11, 290, 1568, 2921, 340, 281, 10083, 4, 4776, 2402, 663, 3427, 2650, 13, 18322, 371, 570, 439, 286, 13851, 290, 7623, 5776, 2921, 340, 257, 9907, 4, 7955, 13, 198, 198, 464, 1703, 1904, 434, 1222, 7849, 6564, 2024, 5396, 357, 2390, 23621, 8, 19332, 262, 983, 329, 262, 366, 6943, 43405, 876, 968, 8987, 1, 5764, 287, 9768, 13, 198, 198, 8777, 22480, 11765, 262, 29490, 18993, 2196, 11, 9689, 340, 23120, 503, 286, 939, 13, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 7851, 7193, 684, 379, 3776, 42680, 82, 198, 7851, 7193, 684, 379, 17384, 14476, 198, 7851, 7193, 684, 379, 19900, 7343, 286, 42551, 519, 1047, 198, 7851, 7193, 684, 379, 16540, 88, 24474, 198, 198, 24529, 2008, 1830, 198, 43763, 2008, 1830, 198, 2953, 2743, 27210, 1830, 198, 2953, 2743, 10350, 87, 1830, 198, 2953, 2743, 3563, 1830, 198, 38667, 5474, 985, 24325, 198, 7222, 27173, 2008, 1830, 198, 34, 590, 3353, 35884, 39288, 1830, 198, 13847, 12, 1462, 12, 2256, 27210, 2008, 1830, 198, 12621, 291, 32563, 2008, 1830, 198, 45, 84, 17213, 1830, 198, 50, 26470, 27210, 1830, 198, 50, 26470, 18993, 1830, 198, 12442, 9714, 11058, 4482, 1830, 198, 51, 1516, 268, 357, 39722, 8, 1830, 198, 10798, 1830, 7781, 416, 8114, 31863, 198, 10798, 1830, 4166, 287, 262, 1578, 1829, 464, 5231, 709, 29690, 317, 12, 17, 357, 14508, 1444, 5231, 709, 544, 1619, 18687, 29872, 290, 15053, 3755, 390, 1703, 2634, 30997, 11, 1267, 318, 257, 7897, 1960, 709, 29690, 290, 22320, 12523, 6339, 543, 4940, 287, 14708, 290, 5645, 287, 15142, 13, 632, 24020, 262, 1966, 399, 12, 3978, 13, 198, 198, 50, 478, 507, 198, 198, 24206, 4736, 12606, 198, 198, 18454, 6058, 198, 8205, 31682, 1228, 3301, 198, 57, 283, 3839, 4496, 198, 6732, 8126, 198, 43, 293, 3755, 198, 13143, 382, 297, 198, 10374, 14308, 198, 198, 41506, 6117, 198, 16541, 709, 29690, 317, 12, 17, 287, 3012, 20347, 198, 198, 6214, 635, 198, 15053, 3755, 390, 1703, 2634, 30997, 357, 18454, 6058, 12477, 8, 198, 198, 32, 12, 17, 198, 32, 12, 17, 198, 32, 12, 17, 198, 32, 12, 17, 198, 32, 12, 17, 198, 32, 12, 17, 198, 22030, 6339, 412, 3829, 287, 8602, 9069, 660, 70, 1940, 12627, 318, 257, 1748, 287, 262, 8473, 286, 24017, 23674, 11, 9932, 27206, 11, 7840, 8031, 13, 383, 12763, 6226, 1433, 4539, 832, 262, 3240, 13, 198, 198, 13383, 21343, 198, 464, 25018, 2345, 72, 12, 43, 321, 11766, 3713, 366, 14772, 4216, 528, 4267, 64, 1, 357, 13856, 432, 913, 530, 8, 373, 3170, 287, 262, 1903, 1596, 400, 4289, 26, 663, 11376, 3033, 25827, 416, 440, 3247, 952, 1526, 1292, 72, 13, 4525, 262, 6716, 22489, 70, 1940, 64, 11, 340, 318, 1363, 284, 257, 16669, 13, 198, 198, 15017, 38872, 10173, 46525, 318, 257, 1467, 400, 12, 14792, 7993, 7835, 4928, 11, 15032, 287, 262, 1903, 4751, 82, 26, 262, 4928, 338, 30987, 389, 991, 1057, 70, 416, 1021, 416, 257, 1074, 286, 4290, 11, 508, 423, 635, 14888, 287, 8966, 1806, 278, 22830, 13, 198, 198, 19927, 198, 198, 34, 871, 290, 11684, 287, 9932, 27206, 9069, 660, 85, 498, 68, 318, 257, 3240, 290, 401, 1726, 287, 262, 8473, 286, 24017, 23674, 11, 9932 ]

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

[ 21437, 22447, 284, 6129, 319, 262, 4687, 35143, 11, 319, 4365, 3563, 50, 12, 24, 13, 198, 198, 818, 12844, 11, 7516, 360, 13, 10120, 2627, 262, 717, 1729, 12, 14480, 33779, 284, 6129, 11, 351, 465, 9749, 39441, 15796, 5989, 1294, 3, 1821, 11, 830, 7499, 329, 465, 5474, 13, 5856, 262, 8069, 82, 11, 35143, 6994, 17195, 4631, 4053, 4037, 9713, 257, 720, 2167, 1906, 6200, 1849, 14100, 35973, 9351, 326, 714, 4197, 656, 262, 35143, 338, 15892, 15489, 13, 383, 9351, 714, 3283, 510, 284, 8915, 10405, 656, 13066, 329, 510, 284, 1115, 1528, 13, 4687, 19654, 3780, 8495, 29306, 5150, 11, 287, 13540, 11, 257, 9351, 329, 7724, 10405, 287, 262, 15489, 13, 6251, 9302, 547, 5140, 287, 2237, 9004, 11, 1123, 351, 9168, 290, 663, 898, 11046, 10454, 11, 290, 351, 8632, 287, 1180, 25412, 329, 4219, 290, 9581, 13, 6023, 6961, 373, 1912, 319, 262, 39230, 417, 397, 7947, 341, 13103, 11, 543, 2810, 3933, 8632, 287, 262, 21437, 15489, 287, 3090, 284, 883, 287, 262, 25762, 1989, 13, 317, 12863, 10470, 284, 262, 2351, 4687, 7023, 5081, 326, 11, 3584, 7348, 15930, 287, 262, 9351, 561, 1575, 720, 16, 1510, 284, 720, 16, 13, 20, 1849, 14100, 583, 11849, 1231, 1230, 28646, 11, 1626, 1315, 812, 11, 1542, 11, 830, 661, 257, 614, 561, 1414, 1294, 3, 1495, 11, 830, 7499, 1123, 284, 6129, 287, 2272, 319, 649, 16807, 13, 383, 10470, 635, 11092, 13956, 284, 25572, 13066, 1626, 1542, 812, 290, 11864, 284, 262, 25572, 4417, 1626, 2026, 812, 13, 198, 198, 1722, 262, 20992, 1430, 9902, 287, 262, 1903, 7169, 82, 11, 8884, 2540, 257, 4687, 13365, 29880, 1430, 284, 1249, 4290, 1231, 5654, 393, 21850, 9176, 284, 6129, 13, 1951, 64, 48044, 373, 7147, 355, 262, 717, 32019, 287, 4687, 287, 2901, 12863, 422, 1367, 11, 7029, 17057, 13, 352, 11, 9879, 5625, 329, 262, 4913, 396, 287, 4687, 1430, 13, 1052, 18902, 287, 4687, 1430, 373, 3177, 11, 290, 8884, 2938, 326, 706, 48044, 338, 5474, 734, 284, 1115, 10380, 257, 614, 561, 6129, 319, 262, 20992, 13, 2293, 48044, 373, 2923, 287, 262, 39221, 9336, 287, 3269, 12113, 11, 262, 4056, 547, 19994, 13, 48044, 338, 11559, 11, 16685, 10805, 11, 4191, 1392, 9657, 287, 7795, 355, 257, 4708, 33779, 290, 13112, 319, 3563, 50, 12, 16817, 355, 257, 4365, 15670, 13, 317, 1218, 10099, 12, 259, 12, 13200, 1430, 11, 287, 543, 8884, 4077, 12, 2971, 276, 20404, 440, 6, 20118, 284, 6129, 319, 262, 2272, 20992, 11, 373, 7530, 284, 307, 3414, 287, 5816, 13, 1320, 1430, 373, 19994, 287, 262, 7765, 286, 262, 9309, 9336, 319, 3563, 50, 12, 15982, 290, 8840, 12476, 319, 12848, 262, 4037, 4687, 9327, 878, 29040, 262, 4687, 35143, 13, 198, 198, 40443, 11, 4664, 5538, 379, 8884, 7634, 6886, 39, 958, 25, 220, 383, 1605, 40980, 5896, 12, 19665, 33375, 318, 257, 3881, 10530, 351, 257, 1492, 290, 15844, 416, 13573, 462, 371, 4660, 72, 290, 3700, 371, 4533, 290, 2647, 416, 402, 2501, 4100, 35, 7780, 313, 13, 383, 670, 12497, 262, 16294, 6, 13050, 286, 262, 18568, 494, 3753, 25584, 290, 3206, 5854, 286, 262, 2739, 9507, 82, 11, 290, 1811, 286, 663, 7259, 2627, 281, 1169, 907, 286, 262, 3098, 12, 53, 1155, 7402, 1810, 4167, 3356, 13, 383, 10530, 338, 1534, 19689, 11, 663, 33016, 286, 262, 779, 286, 5293, 5010, 11, 663, 3513, 286, 16641, 11, 663, 11331, 303, 6784, 329, 262, 1605, 6056, 11, 290, 663, 26349, 3715, 4073, 881, 2912, 290, 10386, 13, 383, 670, 6265, 649, 2323, 287, 10530, 21421, 416, 16215, 262, 12121, 286, 366, 10823, 10530, 1600, 1262, 257, 28824, 11521, 3350, 11, 290, 23310, 262, 5386, 38500, 329, 257, 366, 3856, 12, 818, 1, 19523, 13, 198, 198, 39, 958, 4952, 262, 1621, 286, 262, 366, 83, 4892, 1600, 257, 1448, 286, 11889, 4075, 11, 890, 12, 29972, 18568, 444, 286, 262, 366, 23396, 286, 11446, 19897, 1, 2877, 257, 1489, 4411, 666, 1204, 287, 968, 1971, 2254, 290, 4330, 1028, 762, 6820, 656, 262, 10836, 1810, 13, 220, 40559, 11, 465, 922, 1545, 33337, 11, 511, 33305, 49627, 290, 511, 2460, 6531, 284, 5236, 511, 1862, 3160, 11, 10408, 11, 290, 262, 3206, 5854, 351, 511, 21540, 1028, 262, 1175, 290, 511, 5940, 3397, 290, 3592, 13, 220, 24199, 11, 40559, 1276, 5409, 1771, 284, 4180, 262, 4538, 355, 465, 2460, 423, 1760, 11, 393, 284, 4691, 287, 10836, 11, 35294, 465, 47617, 396, 7811, 290, 37234, 465, 1204, 13, 198, 198, 3260, 281, 572, 12, 30507, 1014, 8886, 319, 3267, 1596, 11, 15904, 11, 379, 7212, 350, 1324, 338, 5094, 22207, 290, 257, 1057, 379, 262, 2580, 316, 993, 26617, 422, 3426, 15904, 832, 3269, 15963, 11, 262, 905, 4721, 319, 20617, 287, 3035, 15963, 290, 4966, 329, 352, 11, 15426, 1849, 525, 687, 1817, 13, 220, 3184, 9560, 516, 32260, 287, 4736, 1973, 262, 1578, 1829, 290, 2031, 3940, 8972, 19547, 11, 1390, 257, 4388, 3576, 3227, 326, 4966, 329, 352, 11, 39647, 1849, 525, 687, 1817, 13, 4619, 788, 11, 6409, 32260, 423, 587, 23393, 1088, 262, 995, 11, 38896, 9264, 286, 18813, 286, 262, 10530, 11, 1390, 262, 513, 1510, 12, 16473, 2656, 20617, 3350, 8296, 13, 2773, 286, 262, 7259, 422, 663, 4776, 2627, 5849, 838, 7127, 11, 290, 257, 3895, 2646, 16711, 373, 2716, 287, 13521, 13, 317, 20617, 26624, 4721, 287, 3717, 11, 13748, 1913, 8088, 290, 5442, 262, 8832, 11289, 290, 30647, 39246, 11289, 329, 6705, 48095, 286, 257, 33375, 13, 554, 3648, 11, 3862, 2630, 11, 366, 8888, 23102, 2331, 11, 611, 1997, 11, 517, 27939, 621, 1683, 526, 198, 198, 18122, 220, 198, 39, 958, 373, 21581, 416, 10544, 3700, 371, 4533, 290, 13573, 462, 371, 4660, 72, 13, 220, 383, 734, 1138, 287, 17575, 618, 484, 6157, 1978, 287, 262, 3242, 12, 30507, 1014, 781, 404, 24300, 5588, 3406, 7123, 290, 6733, 11, 290, 484, 2540, 3597, 23102, 1978, 287, 2739, 17575, 13, 220, 383, 1388, 3435, 547, 33136, 17046, 11, 351, 371, 4533, 338, 40559, 852, 257, 279, 2021, 14348, 290, 371, 4660, 72, 338, 33337, 281, 1070, 305 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 339, 12228, 281, 8875, 6128, 287, 609, 15483, 42954, 13, 198, 220, 198, 198, 8332, 663, 13097, 1486, 290, 3748, 8216, 11, 262, 8875, 3793, 5688, 6439, 2354, 286, 16952, 13, 198, 198, 19927, 220, 198, 198, 41152, 2522, 1952, 198, 817, 1872, 10530, 12834, 2348, 8326, 38099, 544, 2034, 20318, 318, 257, 2877, 7699, 34273, 1664, 9138, 326, 16015, 11971, 44953, 290, 4708, 5701, 34273, 284, 6403, 1492, 43409, 290, 2691, 16167, 13, 220, 5334, 8860, 11, 5140, 287, 25018, 12344, 363, 11510, 544, 11, 32022, 2066, 318, 262, 717, 290, 691, 19000, 13728, 45874, 1664, 286, 663, 1611, 13, 198, 198, 18122, 198, 464, 978, 8326, 38099, 544, 8860, 4721, 287, 3050, 355, 257, 22347, 286, 15188, 2034, 20318, 13, 220, 383, 1664, 373, 9393, 351, 262, 6991, 284, 13831, 663, 4409, 257, 2877, 7699, 11, 355, 4920, 416, 262, 16847, 6923, 42727, 11, 329, 12872, 2057, 290, 11772, 11, 543, 318, 546, 1115, 290, 257, 2063, 1661, 262, 2811, 3739, 286, 34273, 3259, 287, 262, 32022, 2066, 13, 770, 13728, 45874, 11, 543, 318, 4920, 14799, 416, 262, 370, 7397, 357, 12468, 263, 338, 6923, 42727, 8, 318, 900, 284, 2148, 257, 1641, 286, 1440, 262, 4096, 2476, 286, 5627, 11, 2057, 11, 11409, 3503, 13, 220, 383, 8860, 24803, 546, 6640, 6441, 1143, 661, 508, 11, 287, 2211, 11, 925, 546, 720, 18, 583, 1711, 11, 393, 720, 4059, 583, 1227, 13, 770, 23008, 284, 262, 2811, 7699, 287, 19483, 286, 720, 1821, 284, 720, 2414, 583, 1227, 11, 1864, 284, 257, 1737, 2211, 5526, 2098, 416, 8428, 13, 198, 198, 2348, 8326, 38099, 544, 318, 5140, 287, 257, 1966, 34273, 39387, 8548, 11, 326, 925, 9283, 11022, 329, 797, 1765, 482, 290, 23817, 1566, 4343, 13, 6363, 4870, 11, 47204, 10, 33, 3888, 663, 9528, 6161, 4560, 284, 10836, 290, 19483, 810, 612, 547, 2793, 7184, 3484, 13, 198, 198, 9362, 1586, 3259, 257, 3148, 7699, 1625, 355, 262, 1255, 286, 763, 12, 9275, 364, 2094, 11952, 367, 9728, 290, 5689, 3248, 89, 488, 338, 2882, 284, 3710, 4786, 5115, 3403, 739, 543, 44953, 34273, 547, 4635, 13, 220, 383, 16847, 6923, 42727, 1863, 351, 3710, 11276, 2628, 588, 262, 1578, 14882, 12914, 19372, 1381, 21936, 11, 220, 290, 3700, 5187, 74, 882, 11, 5890, 286, 8397, 47626, 10483, 26426, 290, 41835, 16205, 379, 11083, 2059, 11, 547, 1903, 2766, 287, 262, 3356, 13, 198, 198, 818, 2864, 11, 262, 1664, 373, 9477, 416, 13077, 7563, 4763, 290, 3888, 10043, 284, 9371, 11, 14545, 13, 198, 198, 29064, 198, 2348, 8326, 38099, 544, 1838, 44953, 290, 4708, 11112, 34273, 11, 6301, 379, 625, 13037, 44953, 1492, 43409, 355, 880, 355, 832, 2691, 16167, 884, 355, 13836, 23372, 13, 220, 1119, 389, 262, 691, 13728, 45874, 4643, 1431, 34273, 1664, 13, 198, 198, 6214, 635, 198, 1578, 14882, 12914, 19372, 1381, 21936, 198, 16847, 6923, 42727, 198, 198, 19927, 198, 198, 13518, 3555, 198, 978, 8326, 38099, 544, 25, 4479, 12, 24616, 11, 13728, 45874, 1578, 14882, 12914, 19372, 1381, 21936, 13, 198, 3977, 309, 13, 7057, 20663, 26, 2544, 5350, 4243, 41037, 21931, 3900, 26, 10243, 2271, 9330, 5568, 292, 12898, 13, 5524, 6923, 287, 3954, 11744, 5157, 9413, 25, 554, 31012, 290, 17363, 287, 262, 1578, 1829, 13, 2059, 286, 9589, 4332, 26, 1478, 2805, 2211, 13, 764, 279, 13, 1849, 1238, 13, 198, 5613, 30882, 343, 13, 978, 8326, 38099, 544, 25, 5438, 278, 262, 2159, 1867, 318, 33671, 13, 7011, 2159, 4935, 13, 7218, 2321, 13, 198, 5613, 30882, 343, 13, 366, 3792, 262, 16374, 19239, 33671, 43634, 383, 8741, 13, 3267, 678, 11, 2813, 13, 198, 911, 3609, 7164, 3822, 26, 5274, 9325, 274, 263, 26, 1951, 30315, 30254, 9304, 280, 13, 46885, 329, 5483, 9794, 287, 262, 8060, 18493, 25, 40440, 422, 262, 7663, 13, 39540, 13661, 26, 1467, 3426, 2211, 13, 764, 279, 13, 1849, 1485, 1906, 1314, 11, 1987, 1906, 2078, 11, 19038, 13, 198, 14919, 6612, 26, 29799, 3059, 18173, 26, 6542, 48642, 13, 37108, 5524, 13864, 13, 327, 1516, 496, 18252, 26, 1467, 2795, 2813, 13, 764, 1680, 15188, 2034, 20318, 48168, 88, 477, 286, 663, 520, 539, 10476, 290, 41814, 30, 13, 279, 13, 1849, 2624, 1906, 2091, 13, 198, 1757, 337, 13, 14770, 2013, 13, 978, 8326, 38099, 544, 25, 13512, 278, 4280, 298, 5521, 27617, 25, 2561, 5535, 34986, 774, 2295, 46565, 564, 250, 36376, 45874, 447, 251, 19372, 1381, 71, 9682, 30, 12612, 805, 709, 4224, 18362, 329, 7882, 290, 262, 14594, 23676, 13, 24104, 3961, 286, 8708, 4809, 13, 31393, 2059, 13, 2932, 1542, 11, 3050, 198, 38109, 22361, 13, 366, 2348, 8326, 38099, 544, 2746, 3402, 355, 705, 85, 3379, 6, 1911, 11083, 14160, 13, 11083, 2059, 13, 3945, 807, 11, 2321, 13, 198, 4746, 17711, 26, 1757, 337, 13, 509, 1370, 13, 16847, 6, 6923, 290, 7882, 40536, 287, 8060, 22663, 34950, 25, 1148, 257, 5483, 36052, 262, 23998, 30, 13, 39602, 2965, 26, 2608, 3389, 2211, 13, 764, 5483, 3498, 10809, 290, 22663, 21853, 17893, 25, 383, 8495, 515, 8105, 2505, 6118, 290, 262, 978, 8326, 38099, 544, 36052, 13, 279, 13, 1849, 29119, 1906, 30368, 13, 198, 6542, 48642, 26, 29799, 311, 13, 3059, 18173, 26, 14919, 412, 13, 6612, 13, 5524, 20857, 8549, 13, 2520, 12, 24227, 327, 1516, 496, 18252, 26, 2321, 13, 764, 279, 13, 1849, 38547, 13, 198, 40928, 2688, 398, 13, 366, 28239, 12914, 19372, 1381, 21936, 15192, 329, 978, 8326, 38099, 544, 34273, 526, 9406, 1812, 6714, 357, 25119, 8313, 737, 2805, 807, 11, 2321, 13, 198, 14757, 46595, 13, 366, 40783, 1381, 8548, 35412, 23997, 8362, 11, 9996, 274, 284, 25300, 557, 526, 383, 6714, 18001, 3609, 388, 357, 25119, 8313, 737, 2805, 352, 11, 1584, 13, 198, 10490, 1215, 1754, 12, 24857, 5714, 26, 1757, 337, 13, 509, 1370, 13, 705, 705, 50, 413, 278, 13408, 25, 1374, 1881, 19239, 44495, 262, 2034, 20318, 17420, 338, 19372, 1381, 21936, 35384, 2059, 286, 3442, 4332, 26, 2177, 13, 764, 198, 198, 41506, 6117, 198, 28529, 3052, 198, 6767, 73, 312, 31, 82, 449, 2797, 31, 82, 25, 16847, 11, 14882, 11, 290, 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 ]

[ 35324, 17090, 828, 257, 517, 1844, 31760, 1276, 307, 973, 11, 1390, 2440, 12, 2875, 2846, 13, 2312, 2846, 11, 611, 2383, 11, 1577, 4485, 284, 987, 4666, 1741, 25100, 13, 198, 198, 22747, 1502, 2846, 198, 198, 39, 594, 262, 1218, 12, 2875, 11, 2368, 12, 2875, 11, 290, 2440, 12, 2875, 17090, 3186, 460, 307, 9257, 5322, 416, 21683, 262, 12245, 286, 262, 2656, 10425, 357, 69, 16, 11, 277, 17, 11, 277, 18, 11, 277, 19, 11, 3926, 11, 24714, 8, 198, 198, 19927, 198, 198, 26093, 17075, 14868, 9718, 2763, 357, 6286, 3389, 718, 11, 8069, 8, 318, 257, 1966, 2351, 9957, 4041, 3641, 508, 2826, 329, 262, 16137, 24037, 13, 198, 198, 11922, 1524, 3451, 198, 33, 13220, 9141, 2059, 3334, 3961, 287, 37417, 415, 593, 11, 2688, 6025, 11, 810, 339, 1309, 4400, 287, 1111, 4346, 290, 9669, 13, 679, 1839, 1218, 1074, 3143, 1439, 12, 9012, 25279, 355, 257, 4664, 287, 9669, 13, 198, 198, 38951, 3451, 198, 33, 13220, 9141, 2688, 6025, 2059, 11, 810, 11, 355, 257, 4664, 11, 339, 373, 257, 1218, 1074, 1439, 12, 7437, 11, 281, 1439, 12, 12804, 3687, 6356, 11, 290, 4193, 1085, 262, 1074, 284, 257, 20874, 8693, 45015, 290, 281, 1367, 1592, 12, 16, 2994, 1700, 13, 198, 198, 32078, 3451, 198, 33, 13220, 373, 15937, 416, 262, 9643, 18071, 287, 262, 9162, 5134, 13650, 11, 475, 788, 373, 28170, 810, 339, 373, 6497, 510, 416, 262, 16137, 24037, 13, 679, 2826, 351, 262, 24037, 329, 1511, 7028, 13, 1629, 262, 886, 286, 262, 4793, 5134, 1622, 11, 9718, 2763, 3066, 284, 5453, 465, 10737, 706, 37791, 257, 10329, 5095, 1141, 262, 1285, 362, 983, 1028, 262, 10306, 17671, 13, 198, 198, 30986, 27244, 198, 7437, 4346, 10399, 198, 34, 15130, 24037, 1938, 198, 36376, 661, 198, 18153, 15332, 422, 37417, 415, 593, 11, 2688, 6025, 198, 24860, 286, 1605, 4346, 422, 2688, 6025, 198, 21009, 3334, 3961, 357, 44, 2398, 415, 593, 11, 2688, 6025, 8, 31333, 198, 15045, 6025, 5628, 5718, 364, 4346, 1938, 6935, 2979, 319, 16657, 6168, 460, 3522, 284, 25, 628, 1578, 1829, 3845, 4606, 319, 16657, 6168, 198, 1578, 1829, 2097, 4606, 319, 16657, 6168, 33336, 2256, 20515, 4429, 7499, 9179, 262, 22945, 3240, 286, 7439, 2256, 7499, 319, 7439, 5451, 11, 2895, 829, 2959, 13, 383, 4429, 318, 262, 8830, 5651, 385, 286, 262, 2258, 11769, 8545, 6910, 220, 7421, 286, 220, 290, 318, 5257, 416, 19940, 329, 11769, 12950, 15302, 13, 632, 20417, 351, 262, 4347, 286, 7439, 2256, 26450, 12094, 13, 383, 4429, 318, 5884, 284, 262, 3240, 7372, 416, 257, 25704, 7771, 22382, 14, 13696, 7696, 3706, 383, 27986, 29916, 27972, 198, 198, 18122, 198, 198, 464, 717, 4429, 287, 7439, 2256, 373, 4721, 416, 262, 26943, 290, 7439, 2256, 32130, 319, 352, 2932, 1248, 2780, 11, 475, 428, 373, 6928, 416, 262, 1218, 319, 1315, 1737, 1248, 4349, 13, 198, 198, 464, 1944, 4429, 373, 4721, 416, 262, 3576, 290, 2258, 4885, 32130, 319, 1596, 3269, 1248, 2791, 290, 991, 27452, 663, 4045, 9753, 13, 632, 318, 4762, 284, 307, 262, 14069, 4512, 14999, 287, 11769, 13, 632, 6198, 550, 1440, 9554, 11, 475, 691, 1115, 389, 3058, 287, 779, 11, 262, 2610, 284, 262, 1966, 3859, 1115, 1719, 587, 13663, 13, 383, 4429, 3164, 4909, 257, 22653, 2873, 5610, 8801, 28101, 543, 373, 18475, 319, 1596, 2795, 1248, 3695, 416, 9966, 10443, 11, 9005, 286, 11769, 284, 1317, 11939, 286, 1468, 39720, 7552, 13, 383, 8801, 318, 416, 449, 13, 347, 13, 25936, 1222, 1766, 286, 854, 2007, 2575, 13, 198, 198, 37148, 530, 319, 262, 8830, 1735, 286, 262, 4429, 318, 11266, 422, 262, 584, 734, 416, 262, 26450, 12094, 6832, 290, 8434, 39720, 290, 318, 262, 530, 7685, 973, 416, 317, 4520, 72, 2688, 8545, 2594, 284, 3576, 412, 436, 261, 13, 4042, 19940, 329, 11769, 14848, 52, 2594, 779, 3859, 734, 13, 19193, 1115, 318, 2354, 262, 4512, 14999, 290, 318, 973, 416, 262, 1903, 3329, 9952, 4809, 284, 34910, 5694, 11, 5556, 257, 1178, 584, 13404, 379, 8179, 9574, 13, 220, 1318, 389, 25739, 9785, 654, 290, 43346, 7291, 7848, 3859, 530, 11, 14590, 3859, 1115, 635, 468, 281, 3113, 2650, 1627, 1222, 1057, 12, 744, 9052, 1695, 13, 198, 198, 32, 6787, 12, 45852, 9290, 12094, 1306, 284, 262, 4429, 4838, 287, 10249, 618, 262, 4979, 11172, 284, 11761, 13, 632, 468, 1201, 587, 33359, 290, 318, 783, 973, 355, 257, 1097, 7647, 1989, 329, 262, 520, 8107, 6910, 26450, 2139, 13, 198, 198, 14478, 6540, 7937, 4271, 973, 284, 45015, 287, 262, 8434, 39720, 1306, 284, 19193, 352, 11, 428, 24368, 618, 262, 2493, 373, 302, 12, 33082, 13, 520, 8107, 6910, 3170, 281, 3662, 2615, 1022, 9554, 352, 290, 362, 287, 262, 1903, 6303, 82, 13, 198, 198, 12367, 40706, 198, 198, 28711, 5674, 278, 527, 67, 1248, 2780, 532, 1248, 3720, 220, 220, 198, 17121, 22358, 1248, 3720, 532, 40538, 198, 29458, 5437, 1566, 34463, 357, 8499, 2017, 4429, 4958, 379, 3576, 412, 436, 261, 8, 198, 20508, 3977, 8121, 34463, 532, 35145, 357, 36234, 4429, 4958, 379, 21660, 11, 12979, 4429, 4958, 379, 370, 5516, 8, 198, 39, 6724, 10805, 35145, 532, 27653, 198, 39, 13, 54, 13, 4176, 27653, 532, 22458, 198, 198, 47522, 2410, 198, 198, 464, 4429, 318, 3938, 47331, 11, 351, 257, 7846, 2607, 287, 262, 1388, 26450, 12094, 543, 318, 34737, 3598, 1528, 257, 1285, 13, 12189, 12, 15271, 7846, 8217, 389, 635, 2810, 13, 383, 12094, 4394, 5017, 4953, 19711, 11, 257, 1414, 4862, 11, 257, 4590, 18600, 11, 257, 1364, 31488, 2607, 11, 32711, 11, 12437, 11, 290, 257, 26725, 13, 16835, 2491, 3307, 389, 4438, 2884, 4875, 1321, 8947, 11, 40021, 19379, 290, 16359, 24009, 13, 5012, 12, 5787, 1895, 318, 1695, 284, 477, 9554, 13, 198, 198, 31007, 198, 198, 33336, 2256, 318, 4983, 416, 257, 4096, 19940, 329, 11769, 30160, 2139, 3690, 262, 1285, 357, 16670, 1342, 6777, 319, 7374, 32714, 8, 284, 911, 1809, 82, 10711, 351, 2594, 8282, 284, 18899, 4037, 290, 34910, 5694, 319, 13527, 2250, 13, 317, 3614, 1271, 286, 13404, 357, 29471 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9237, 718, 25, 720, 17, 11, 4059, 1400, 12, 39184, 9340, 6, 368, 357, 21447, 12, 39, 12249, 8, 198, 198, 15749, 767, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 642, 2780, 198, 7472, 15895, 19850, 25, 720, 16, 11, 21719, 11, 7029, 198, 7913, 286, 7119, 5269, 25, 7930, 198, 198, 9237, 767, 25, 720, 16, 11, 830, 1400, 12, 32374, 9340, 6, 368, 220, 266, 14, 28951, 84, 893, 198, 198, 15749, 807, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 807, 2075, 198, 7913, 286, 3405, 84, 893, 25, 352, 11, 33781, 198, 7472, 15895, 19850, 25, 720, 17, 11, 1264, 11, 30005, 198, 7913, 286, 7119, 5269, 25, 7724, 198, 198, 9237, 807, 25, 720, 16, 11, 4059, 13723, 5172, 3604, 198, 198, 15749, 860, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 604, 4761, 198, 7472, 15895, 19850, 25, 720, 40639, 11, 15277, 198, 7913, 286, 7119, 5269, 25, 2319, 198, 198, 9237, 860, 25, 720, 17, 11, 830, 1400, 27272, 9340, 6, 368, 198, 198, 15749, 838, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 1478, 3070, 198, 7472, 15895, 19850, 25, 720, 17, 11, 48630, 11, 31211, 198, 7913, 286, 7119, 5269, 25, 12713, 198, 198, 9237, 838, 25, 720, 17, 11, 830, 27272, 9340, 6, 368, 198, 198, 15749, 1367, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 642, 3388, 198, 7472, 15895, 19850, 25, 720, 16, 11, 45438, 11, 46899, 198, 7913, 286, 7119, 5269, 25, 7175, 198, 198, 9237, 1367, 25, 720, 17, 11, 830, 6902, 27272, 9340, 6, 368, 198, 198, 15749, 1105, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 38190, 198, 7472, 15895, 19850, 25, 720, 44821, 11, 8054, 198, 7913, 286, 7119, 5269, 25, 4153, 198, 198, 9237, 1105, 25, 720, 17, 11, 830, 6902, 27272, 37053, 266, 14, 28951, 84, 893, 198, 198, 15749, 1511, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 23679, 198, 7913, 286, 3405, 84, 893, 25, 42321, 198, 7472, 15895, 19850, 25, 720, 16, 11, 21599, 11, 14877, 198, 7913, 286, 7119, 5269, 25, 1248, 198, 198, 9237, 1511, 25, 720, 20, 11, 830, 1400, 12, 39184, 9340, 6, 368, 198, 198, 15749, 1478, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 604, 2791, 198, 7472, 15895, 19850, 25, 720, 17, 11, 19782, 11, 2167, 198, 7913, 286, 7119, 5269, 25, 4153, 198, 198, 9237, 1478, 25, 720, 12825, 13723, 5172, 3604, 3334, 12, 20535, 807, 14, 9864, 198, 198, 15749, 1315, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 642, 3865, 198, 7472, 15895, 19850, 25, 720, 20, 3901, 11, 17885, 198, 7913, 286, 7119, 5269, 25, 4764, 198, 198, 9237, 1315, 25, 720, 16, 11, 4059, 27272, 9340, 6, 368, 17011, 448, 198, 198, 15749, 1467, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 18523, 198, 7472, 15895, 19850, 25, 720, 21, 2481, 11, 830, 198, 7913, 286, 7119, 5269, 25, 4153, 198, 198, 9237, 1467, 25, 720, 16, 11, 4059, 1400, 27272, 9340, 6, 368, 17011, 448, 198, 198, 15749, 1596, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 41287, 198, 7472, 15895, 19850, 25, 720, 16, 11, 2998, 21, 11, 7029, 198, 7913, 286, 7119, 5269, 25, 8699, 198, 198, 9237, 1596, 25, 720, 17, 11, 4059, 27272, 9340, 6, 368, 198, 198, 15749, 1248, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 47946, 198, 7472, 15895, 19850, 25, 720, 23, 3553, 11, 12865, 198, 7913, 286, 7119, 5269, 25, 4570, 198, 198, 9237, 1248, 25, 720, 16, 11, 4059, 6902, 27272, 37053, 198, 198, 15749, 678, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 43336, 198, 7472, 15895, 19850, 25, 720, 26429, 11, 43147, 198, 7913, 286, 7119, 5269, 25, 2681, 198, 198, 9237, 678, 25, 720, 17, 11, 830, 13723, 5172, 3604, 3334, 12, 20535, 807, 14, 9864, 198, 198, 15749, 678, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 39466, 198, 7472, 15895, 19850, 25, 720, 48645, 11, 15277, 198, 7913, 286, 7119, 5269, 25, 1987, 198, 198, 9237, 1160, 25, 720, 20, 11, 830, 6902, 12, 39184, 9340, 6, 368, 198, 198, 15749, 1160, 11, 5075, 628, 7913, 286, 2822, 12, 1040, 25, 32817, 198, 7472, 15895, 19850, 25, 720, 16, 13409, 17297, 36455, 3776, 318, 257, 3096, 983, 12, 3106, 2008, 983, 2716, 329, 262, 3776, 29071, 287, 2869, 287, 5816, 416, 15804, 3301, 13, 220, 198, 198, 464, 983, 373, 5292, 329, 7099, 1751, 2158, 11, 355, 257, 2008, 983, 340, 373, 407, 257, 4388, 983, 290, 550, 1877, 4200, 13, 220, 198, 198, 16088, 2008, 1830, 198, 29828, 983, 12, 7635, 2008, 1830, 198, 8777, 29071, 12, 8807, 1830, 198, 16504, 12, 41195, 2008, 1830, 198, 8777, 29071, 1830, 198, 10798, 1830, 4166, 287, 2869, 47389, 41454, 743, 3522, 284, 25, 198, 47389, 41454, 11, 20419, 1001, 28233, 11, 257, 2095, 287, 262, 15589, 1605, 10997, 2646, 383, 11867, 15442, 15875, 198, 47389, 41454, 11, 257, 2095, 287, 262, 7169, 1605, 10997, 2646, 3701, 14382, 0, 198, 1, 47389, 41454, 1600, 257, 3496, 416, 33231, 422, 511, 6244, 5062, 554, 3954, 6748, 464, 12449, 9520, 76, 2238, 21146, 406, 32303, 373, 257, 46371, 319, 12449, 9520, 76, 2238, 357, 1267, 4696, 1474, 262, 2493, 286, 1086, 5718, 11, 1867, 785, 3418, 11, 2669, 11, 287, 262, 1578, 1829, 13, 198, 198, 18122, 198, 464, 4429, 19954, 286, 257, 352, 23141, 12, 13571, 26765, 3170, 319, 257, 3859, 4855, 416, 13510, 30935, 11, 351, 257, 41207, 379, 262, 3641, 286, 663, 33948, 9753, 13, 632, 373, 12006, 287, 37166, 11, 1262, 262, 976, 1486, 416, 471, 13, 50, 13, 406, 32303, 5926, 17340, 8124, 1004, 624, 973, 379, 262, 2935, 9536, 4450, 35359, 406, 32303, 379, 262, 5422, 286, 262, 9309, 5866, 13, 383, 1657, 373, 390, 33106, 290, 262, 2104, 4645, 12445, 866, 287, 16994, 13, 198, 198, 19927, 198, 198, 43, 10887, 11370, 5668, 287, 37166, 198, 43, 10887, 11370, 287, 2669, 357, 5219, 8, 198, 8291, 10189, 6832, 290, 8573, 287, 1867, 785, 3418, 11, 2669, 198, 1129, 2713, 33228, 287, 2669, 357, 5219, 8 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5017, 1767, 764, 64, 10023, 903, 14682, 607, 764, 15506, 1312, 750, 4003, 1223, 1180, 837, 996, 764, 10148, 1313, 11952, 705, 82, 3809, 373, 19377, 876, 764, 15506, 262, 9848, 286, 262, 1368, 318, 1180, 351, 683, 764, 1169, 9845, 31460, 656, 683, 9211, 837, 7069, 764, 8117, 373, 257, 5968, 286, 257, 1256, 517, 2700, 973, 287, 428, 1494, 764, 10148, 15506, 780, 339, 373, 7954, 837, 10148, 288, 1531, 531, 837, 2406, 284, 1302, 416, 326, 3084, 837, 1165, 764, 83, 1156, 705, 82, 1986, 373, 5017, 416, 262, 9629, 764, 74, 15289, 750, 299, 470, 765, 284, 766, 465, 1986, 764, 1662, 757, 764, 72, 705, 76, 7926, 837, 256, 1156, 764, 15506, 1188, 298, 500, 373, 7954, 837, 10148, 288, 1531, 531, 757, 764, 15506, 326, 705, 82, 1521, 262, 14129, 547, 7069, 764, 258, 373, 28674, 572, 764, 10148, 265, 256, 1156, 764, 265, 502, 764, 1313, 11952, 12539, 607, 13589, 764, 15506, 612, 389, 262, 2748, 976, 1271, 286, 1017, 7465, 319, 262, 5101, 286, 477, 262, 4970, 837, 262, 3912, 318, 2818, 764, 10148, 15506, 780, 340, 705, 82, 262, 976, 3912, 326, 1188, 298, 500, 468, 319, 465, 5101, 837, 10148, 479, 15289, 2087, 764, 7091, 705, 67, 1775, 883, 31109, 837, 12615, 606, 837, 523, 867, 1661, 290, 407, 772, 6939, 2644, 10148, 339, 6989, 837, 523, 339, 2227, 465, 4970, 284, 1254, 262, 976, 2356, 339, 2936, 764, 10148, 7091, 550, 645, 4719, 326, 256, 1156, 550, 2936, 6088, 286, 2356, 878, 339, 3724, 764, 15506, 356, 761, 284, 1561, 284, 262, 1534, 5329, 837, 10148, 8352, 531, 764, 15506, 611, 674, 583, 79, 318, 37215, 18792, 465, 4970, 837, 788, 465, 6941, 468, 3421, 764, 10148, 74, 15289, 2900, 1497, 422, 256, 1156, 705, 82, 1767, 764, 1169, 21212, 287, 326, 1295, 373, 1642, 607, 6639, 764, 3919, 837, 655, 852, 612, 837, 523, 1969, 284, 262, 4970, 2644, 9930, 705, 67, 477, 6989, 1165, 881, 764, 392, 329, 644, 5633, 13893, 1188, 298, 500, 550, 7498, 606, 329, 1918, 764, 4360, 1521, 606, 2644, 290, 1521, 407, 502, 5633, 15506, 479, 15289, 5145, 10148, 67, 1531, 1444, 607, 1438, 355, 673, 13999, 329, 262, 3420, 764, 4360, 479, 15289, 655, 14682, 607, 1182, 764, 7091, 2622, 1633, 764, 7091, 373, 3027, 27123, 287, 612, 764, 7091, 7121, 1613, 262, 8215, 837, 750, 299, 470, 4043, 329, 262, 20932, 475, 13999, 510, 262, 16046, 764, 8524, 673, 373, 2354, 764, 1169, 736, 1256, 373, 477, 475, 36043, 837, 290, 673, 25669, 287, 2769, 47161, 862, 286, 1633, 764, 64, 1021, 12908, 1088, 607, 8163, 764, 7091, 2993, 262, 3638, 11101, 764, 67, 1531, 764, 7091, 750, 299, 470, 1210, 3812, 683, 764, 15506, 1312, 765, 428, 284, 2245, 764, 10148, 10919, 750, 484, 423, 284, 466, 5633, 15506, 262, 2563, 318, 262, 4094, 2270, 356, 705, 303, 550, 764, 732, 460, 2610, 663, 6082, 290, 1057, 262, 31030, 866, 764, 10148, 15506, 339, 750, 299, 470, 2563, 465, 4970, 12, 10148, 288, 1531, 4978, 607, 22531, 290, 4137, 607, 284, 804, 379, 683, 764, 15506, 326, 373, 1115, 812, 2084, 764, 25991, 1223, 3022, 284, 683, 764, 25991, 339, 468, 284, 2563, 606, 287, 1502, 284, 651, 606, 739, 465, 1176, 764, 39664, 262, 1738, 837, 428, 318, 262, 2270, 356, 761, 764, 732, 460, 1064, 683, 764, 10148, 7091, 714, 299, 470, 651, 883, 2636, 5920, 503, 286, 607, 1182, 764, 7091, 561, 1239, 307, 1498, 284, 651, 606, 503, 764, 15506, 339, 705, 82, 1464, 4964, 837, 10148, 673, 531, 764, 372, 17841, 288, 19112, 1088, 262, 7647, 1256, 764, 15506, 339, 2993, 546, 502, 290, 256, 1156, 837, 523, 339, 2923, 256, 1156, 764, 258, 4206, 546, 514, 837, 288, 1531, 764, 10148, 11043, 2781, 837, 673, 705, 67, 587, 523, 20363, 938, 1755, 764, 86, 20482, 284, 307, 351, 683, 780, 339, 925, 607, 1254, 6776, 764, 10197, 996, 655, 852, 351, 607, 714, 787, 683, 2636, 764, 74, 15289, 14682, 607, 1182, 764, 15506, 339, 531, 1312, 815, 2652, 1497, 422, 345, 764, 10148, 15506, 290, 326, 705, 82, 3446, 1521, 345, 705, 260, 10589, 1969, 284, 502, 764, 5562, 31030, 857, 299, 470, 651, 284, 27861, 284, 345, 764, 732, 705, 260, 407, 2712, 465, 983, 764, 10148, 8505, 837, 484, 547, 764, 20839, 299, 470, 288, 1531, 6537, 340, 5633, 4480, 1123, 1767, 484, 5071, 837, 484, 547, 655, 2491, 39615, 2157, 1188, 298, 500, 764, 15506, 1312, 466, 299, 470, 765, 345, 284, 307, 262, 1306, 3117, 287, 262, 2146, 18701, 837, 10148, 673, 531, 837, 290, 6451, 479, 15289, 373, 262, 530, 4769, 319, 284, 683, 764, 372, 23361, 30895, 656, 465, 5101, 764, 15506, 1312, 466, 299, 470, 765, 326, 837, 466, 345, 1833, 5633, 10148, 1662, 618, 673, 705, 67, 655, 2067, 284, 1337, 329, 683, 764, 258, 705, 67, 5445, 832, 607, 3355, 837, 290, 673, 750, 299, 470, 765, 683, 284, 4656, 780, 286, 607, 764, 15506, 339, 705, 82, 407, 1016, 284, 4929, 502, 17261, 764, 72, 705, 76, 262, 530, 508, 705, 82, 1016, 284, 4929, 683, 764, 10148, 568, 6563, 764, 568, 5295, 764, 7091, 2227, 284, 1975, 683, 837, 475, 673, 373, 7787, 764, 10919, 611, 2644, 288, 1531, 27946, 607, 764, 10424, 764, 22089, 764, 15506, 345, 705, 260, 407, 6078, 502, 837, 290, 1312, 705, 76, 407, 1016, 284, 1309, 345, 467, 764, 10148, 15506, 1312, 765, 345, 284, 2652, 379, 262, 4429, 837, 10148, 288, 1531, 531, 355, 339, 10667, 465, 4282, 764, 258, 373, 1016, 284, 1182, 736, 284, 256, 1156, 300, 1192, 1603, 705, 82, 1295, 290, 787, 1654, 262, 7261, 82, 550, 299, 470, 6825, 597, 3703, 764, 1169, 517, 339, 4499, 546, 465, 4970, 837, 262, 517, 339, 714, 6196, 2193, 546, 1188, 298, 500, 764, 15506, 645, 764, 10148, 74, 15289, 705, 82, 3809, 373, 5897, 290, 5295, 290, 12270, 880, 407, 2282, 644, 339, 2227, 284, 3285, 764, 7091, 373, 21639, 287, 465, 6915, 5118, 764, 258, 23831, 625, 837, 269, 3039, 607, 351, 465, 2832, 764, 15506, 1312, 423, 284, 760, 326, 345 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 290, 635, 14888, 287, 262, 2159, 5489, 566, 263, 25733, 9852, 287, 7795, 14, 2079, 11, 7358, 14, 11024, 290, 5878, 14, 2999, 13, 679, 1839, 262, 6303, 3517, 4946, 11, 11226, 4422, 39043, 838, 1906, 23, 287, 39043, 6, 938, 5585, 287, 257, 1688, 2457, 13, 679, 4251, 530, 584, 12759, 3860, 12, 20311, 11, 379, 262, 12923, 5675, 23832, 13, 679, 635, 1839, 262, 6303, 2159, 5454, 355, 257, 2888, 286, 262, 5398, 1074, 11, 290, 262, 5398, 5489, 566, 263, 10749, 287, 14745, 11, 21320, 31612, 26068, 23440, 287, 14074, 13, 11136, 407, 2826, 7606, 306, 329, 546, 1115, 812, 11, 609, 2136, 261, 28291, 287, 4343, 13, 554, 3267, 13130, 339, 1839, 257, 39265, 329, 262, 12131, 2159, 2311, 12706, 10749, 290, 3584, 339, 373, 2233, 284, 711, 287, 262, 1785, 379, 262, 6472, 37369, 15752, 287, 2932, 12131, 11, 750, 407, 8277, 287, 262, 7756, 13, 198, 198, 6653, 4511, 995, 12759, 355, 257, 4708, 373, 1679, 13, 198, 198, 32273, 290, 16905, 15264, 198, 198, 17784, 263, 18576, 198, 198, 49, 15230, 18576, 25, 352, 357, 16, 3670, 8, 198, 198, 15419, 12, 28405, 18576, 25, 352, 198, 198, 15592, 18576, 25, 352, 357, 16, 3670, 8, 198, 198, 5840, 15093, 18576, 25, 513, 357, 17, 8714, 8, 198, 198, 19927, 198, 198, 1129, 3365, 27244, 198, 36376, 661, 198, 28203, 3013, 566, 263, 1938, 464, 44873, 23341, 380, 10254, 21182, 318, 257, 24537, 22340, 5669, 19793, 21182, 287, 262, 3632, 326, 20417, 262, 5925, 544, 44873, 430, 13544, 16001, 64, 357, 15571, 66, 8, 287, 262, 3095, 27825, 351, 262, 45254, 2338, 21307, 357, 72, 13, 68, 1539, 262, 1275, 463, 378, 29984, 290, 1234, 41763, 8, 287, 262, 1674, 27825, 13, 632, 318, 530, 286, 262, 1440, 1688, 26252, 22963, 287, 262, 3632, 11, 290, 318, 4688, 287, 262, 3227, 286, 3356, 355, 636, 286, 257, 1080, 1444, 262, 41202, 7706, 24660, 5584, 9052, 13, 360, 404, 5669, 19793, 16890, 286, 428, 21182, 2650, 26252, 422, 7877, 261, 30237, 326, 6171, 7512, 4291, 47046, 19793, 7090, 599, 3541, 16890, 357, 30295, 82, 828, 635, 1900, 355, 599, 3541, 20128, 16890, 357, 4303, 47503, 828, 5140, 287, 262, 2338, 21307, 13, 198, 198, 35, 1533, 877, 341, 286, 22340, 5669, 19793, 16890, 287, 262, 11346, 66, 318, 530, 286, 262, 1388, 42306, 3033, 286, 31618, 338, 4369, 11, 3756, 284, 257, 7498, 7741, 287, 26252, 2163, 290, 262, 6585, 13730, 5584, 22729, 286, 31618, 338, 4369, 1390, 5328, 482, 1127, 544, 11, 10023, 669, 11, 7805, 17995, 11, 290, 1281, 1523, 32556, 13, 198, 198, 2025, 265, 9145, 220, 198, 464, 4637, 1022, 262, 5925, 544, 44873, 430, 13544, 16001, 64, 290, 262, 45254, 2338, 21307, 318, 36631, 2884, 22340, 5669, 19793, 7877, 684, 13, 198, 198, 7004, 18797, 544, 44873, 430, 13544, 16001, 64, 357, 15571, 66, 8, 220, 198, 464, 5925, 544, 44873, 430, 318, 5140, 287, 262, 7435, 1373, 3095, 27825, 286, 1123, 33169, 13, 632, 468, 734, 7310, 3354, 11, 262, 13544, 16001, 64, 357, 15571, 66, 8, 290, 262, 13544, 1005, 291, 377, 1045, 357, 15571, 81, 737, 383, 13544, 16001, 64, 4909, 220, 22340, 5669, 19793, 16890, 422, 262, 317, 24, 2685, 1448, 326, 5107, 262, 44873, 23341, 380, 10254, 21182, 326, 11, 416, 28099, 26252, 284, 262, 2338, 21307, 11, 823, 592, 1321, 284, 262, 41202, 7706, 24660, 13, 554, 6273, 11, 262, 13544, 1005, 291, 377, 1045, 4909, 4632, 47046, 19793, 16890, 13, 198, 198, 464, 11346, 66, 318, 13160, 286, 257, 7888, 4097, 286, 4778, 326, 12893, 444, 262, 11346, 81, 290, 318, 22765, 1568, 453, 284, 262, 317, 940, 1448, 286, 22340, 5669, 19793, 16890, 287, 262, 7435, 1373, 573, 5154, 282, 1989, 357, 53, 5603, 8, 326, 5107, 262, 18842, 349, 14107, 291, 26252, 21182, 13, 383, 11346, 66, 318, 3538, 5874, 1143, 287, 1692, 3632, 9004, 780, 262, 26252, 16890, 3994, 257, 2042, 43385, 1444, 11943, 296, 417, 272, 259, 543, 318, 1900, 284, 29915, 351, 2479, 13, 383, 22340, 5669, 19793, 2685, 5920, 287, 262, 11346, 66, 389, 42255, 11856, 351, 6702, 939, 11, 830, 284, 28262, 11, 830, 26252, 4778, 287, 1692, 11346, 66, 290, 807, 11, 830, 284, 1105, 11, 830, 26252, 4778, 287, 10211, 11346, 66, 13, 2312, 26252, 2685, 5920, 389, 36618, 284, 530, 286, 734, 49966, 5447, 11685, 13, 5845, 287, 262, 6727, 7679, 357, 273, 45254, 14249, 8, 3994, 257, 12765, 7532, 1444, 2386, 21653, 259, 12, 35, 2078, 42, 543, 460, 11876, 19700, 2974, 2641, 262, 2685, 618, 340, 4329, 1165, 1029, 393, 11422, 13, 360, 404, 9862, 4778, 287, 262, 2793, 7679, 357, 273, 7435, 1373, 14249, 8, 16523, 428, 7532, 290, 389, 517, 8826, 284, 262, 3048, 286, 42181, 1140, 1040, 357, 68, 13, 70, 13, 4904, 7250, 8, 326, 460, 2728, 31618, 4369, 12, 2339, 7460, 13, 383, 45254, 14249, 26252, 4778, 423, 288, 437, 23156, 326, 2511, 9386, 36774, 1973, 262, 13544, 16001, 64, 11, 9472, 7435, 1373, 14249, 26252, 4778, 423, 288, 437, 23156, 326, 9117, 7435, 81, 453, 656, 262, 13544, 1005, 291, 377, 1045, 13, 198, 198, 35, 404, 5669, 19793, 7877, 684, 220, 198, 464, 7877, 684, 422, 26252, 16890, 31184, 378, 422, 257, 4165, 288, 437, 6525, 290, 1628, 220, 2419, 39707, 357, 261, 262, 976, 1735, 8, 2884, 262, 48174, 1674, 27825, 18537, 284, 262, 45254, 2338, 21307, 13, 1318, 318, 257, 5210, 1353, 17046, 16096, 1022, 262, 48631, 42842, 286, 262, 26252, 2685, 1767, 1626, 262, 11346, 66, 290, 262, 1989, 286, 19883, 287, 262, 45254, 2338, 21307, 13, 360, 404, 5669, 19793, 4778, 287, 262, 25653, 3354, 286, 262, 11346, 66, 1628, 8384, 284, 262, 25653, 290, 1275, 463, 282, 357, 79, 6197, 1504, 8, 3354, 286, 262, 2338, 21307, 11, 9472, 26252, 4778, 287, 262, 48174, 11346, 66, 1628, 284, 262, 48174, 2338, 21307, 13, 220, 554, 3090, 11, 26252, 4778, 287, 262, 45254, 14249, 1628, 284, 262, 7435, 398, 276, 498, 2338, 21307, 11, 9472, 262, 7435, 1373, 14249, 16890, 1628, 284, 262, 45254, 1275, 463, 378, 29984, 290, 1234, 41763, 13, 554, 2276, 11, 612, 318, 257, 3744, 12109, 286, 22340 ]

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

[ 828, 26443, 465, 5891, 705, 377, 321, 6557, 3256, 4884, 2742, 31532, 18939, 379, 24198, 351, 511, 898, 290, 10893, 424, 431, 260, 3828, 2870, 3799, 1817, 319, 465, 10569, 13, 220, 1881, 1672, 286, 465, 24198, 287, 31532, 4786, 262, 3721, 286, 12146, 25590, 13, 679, 2714, 326, 530, 373, 407, 848, 333, 1431, 416, 2800, 351, 9316, 290, 6771, 1141, 262, 6290, 11, 9472, 4021, 21356, 75, 41200, 2714, 326, 1729, 12, 36452, 547, 20108, 848, 495, 290, 714, 14244, 4559, 23142, 832, 2800, 13, 679, 468, 635, 587, 3417, 355, 1719, 3402, 257, 564, 250, 20887, 2754, 329, 262, 3595, 447, 251, 220, 290, 355, 1719, 9635, 503, 1028, 262, 21218, 1080, 286, 21399, 46360, 18911, 286, 262, 640, 13, 220, 679, 635, 2714, 326, 262, 1846, 4105, 290, 33360, 912, 550, 3518, 5920, 543, 547, 407, 287, 597, 835, 40336, 13, 198, 198, 3103, 9641, 220, 198, 198, 2215, 28053, 116, 97, 23577, 73, 265, 717, 2982, 286, 262, 347, 6557, 65, 8836, 3356, 11, 339, 26562, 257, 31228, 3706, 19574, 6557, 1148, 74, 392, 283, 284, 9161, 13, 383, 31228, 4504, 14121, 257, 3850, 422, 262, 347, 6557, 65, 13, 28053, 116, 97, 23577, 73, 265, 373, 10629, 284, 5203, 257, 11483, 287, 262, 18575, 706, 30663, 864, 15707, 13, 1649, 28053, 116, 97, 23577, 73, 265, 583, 1484, 262, 3850, 11, 339, 2627, 30544, 41574, 11, 1718, 572, 465, 7858, 3820, 357, 1169, 6194, 286, 465, 4158, 4934, 8, 290, 1234, 319, 257, 30592, 1443, 5116, 6877, 357, 1169, 6194, 286, 262, 8591, 414, 737, 679, 318, 2098, 284, 423, 1297, 617, 286, 465, 10569, 11764, 25, 366, 464, 1772, 286, 777, 24752, 3667, 284, 307, 262, 12400, 11, 355, 1279, 259, 262, 6761, 29, 705, 40, 716, 262, 2254, 286, 20414, 11, 290, 220, 134, 119, 37893, 318, 663, 12816, 11496, 198, 198, 6214, 635, 220, 198, 39, 23577, 6592, 198, 39, 23577, 31558, 198, 198, 19927, 220, 198, 198, 33, 6557, 65, 41200, 198, 8061, 422, 47022, 13881, 11, 4068, 198, 1507, 1065, 27244, 198, 1507, 4349, 7040, 198, 8061, 286, 1195, 1228, 283, 4068, 46, 527, 6335, 318, 257, 3860, 286, 31970, 716, 8774, 11, 4486, 13, 632, 318, 636, 286, 262, 1471, 912, 1350, 89, 14232, 311, 9116, 67, 13, 198, 198, 2514, 262, 5093, 286, 262, 4783, 7363, 262, 5866, 8774, 13, 12197, 340, 11, 262, 8345, 21146, 357, 46, 48476, 1878, 268, 8, 286, 31970, 287, 262, 38919, 437, 33534, 13, 1675, 262, 24287, 11, 33753, 6335, 318, 275, 24071, 416, 3242, 268, 19496, 338, 32670, 293, 72, 4783, 11, 284, 262, 5366, 290, 7421, 6486, 3354, 286, 31970, 12, 50, 620, 6248, 30404, 268, 13, 198, 198, 19927, 198, 198, 44857, 82, 286, 31970, 45, 6959, 11, 543, 1724, 17598, 287, 2679, 11, 318, 257, 40358, 326, 743, 3522, 284, 25, 628, 7244, 399, 6959, 11, 968, 1971, 2254, 12, 3106, 16413, 198, 13514, 399, 6959, 357, 6286, 32471, 828, 19859, 1814, 4706, 5371, 286, 720, 14877, 1510, 7394, 198, 16685, 399, 6959, 11, 281, 3594, 4065, 12, 16002, 290, 2180, 8464, 286, 262, 327, 15543, 7698, 36320, 198, 7651, 399, 6959, 357, 6286, 27937, 828, 5701, 49032, 319, 5243, 30423, 329, 262, 3936, 13804, 9283, 4009, 198, 402, 276, 282, 9520, 399, 6959, 357, 1129, 1954, 1906, 15724, 828, 530, 286, 262, 6665, 286, 25910, 293, 75, 609, 5168, 24303, 290, 262, 3756, 875, 1304, 286, 5582, 3854, 287, 262, 609, 5168, 24303, 6232, 286, 36585, 2409, 461, 198, 314, 430, 399, 6959, 357, 6286, 21577, 828, 1605, 12, 28203, 3182, 18539, 11, 16716, 4014, 290, 3700, 25936, 15606, 198, 3619, 399, 6959, 11, 1772, 11, 19500, 290, 42461, 286, 14458, 287, 1597, 198, 16348, 399, 6959, 11, 3517, 29069, 1694, 11, 10099, 290, 11276, 13, 198, 24868, 399, 6959, 357, 6286, 22458, 828, 3310, 658, 6, 8129, 286, 18430, 379, 262, 2059, 286, 7943, 198, 18496, 399, 6959, 11, 471, 13, 50, 13, 14971, 198, 25176, 399, 6959, 357, 6286, 4751, 828, 6085, 20790, 2137, 220, 198, 42970, 25520, 26113, 399, 6959, 357, 1129, 3070, 1906, 1129, 3980, 828, 281, 25691, 12, 6286, 3517, 17911, 7451, 11, 2041, 1710, 287, 5510, 33961, 1435, 198, 13633, 21877, 293, 11, 9048, 1492, 5464, 3360, 18141, 355, 366, 42918, 399, 6959, 1, 198, 198, 6214, 635, 198, 21877, 282, 357, 6381, 4131, 328, 2288, 8, 198, 10664, 293, 198, 198, 50, 700, 1047, 198, 28240, 33113, 1047, 198, 50, 700, 1047, 286, 2679, 8159, 198, 56, 1638, 680, 12, 16129, 33113, 1047, 3163, 6559, 42844, 272, 3961, 318, 281, 4795, 42844, 272, 763, 12, 18123, 864, 1903, 4673, 11, 4165, 290, 9233, 1110, 1524, 5140, 287, 1355, 721, 305, 701, 290, 412, 2105, 11, 29272, 21040, 319, 262, 2258, 25759, 286, 11852, 11, 968, 2520, 11769, 11, 4505, 13, 10062, 22555, 287, 36094, 355, 257, 9198, 2870, 3745, 263, 1524, 329, 262, 44150, 37401, 6, 5535, 11, 11852, 11, 262, 1524, 783, 3797, 364, 329, 6702, 13037, 2444, 422, 3771, 12, 14347, 284, 6280, 1105, 13, 943, 6559, 338, 717, 6280, 1105, 1398, 32400, 287, 3648, 13, 632, 973, 284, 307, 281, 691, 4813, 1524, 287, 37272, 475, 838, 812, 1568, 2087, 262, 717, 1683, 2933, 290, 783, 340, 318, 257, 6510, 290, 4813, 1524, 13, 198, 3163, 6559, 42844, 272, 5535, 318, 257, 2888, 286, 262, 5396, 286, 34838, 286, 13362, 20357, 286, 4505, 357, 18429, 22312, 828, 262, 13362, 21087, 3961, 34838, 286, 4505, 357, 47643, 39, 3838, 8, 290, 20000, 3961, 34838, 5396, 286, 4505, 11, 262, 5396, 286, 13362, 1766, 12, 33380, 864, 20357, 11, 290, 262, 5396, 286, 13362, 20357, 286, 968, 2520, 11769, 13, 198, 198, 18122, 198, 3856, 1030, 355, 257, 9198, 2870, 1524, 286, 262, 44150, 37401, 6, 5535, 11, 11852, 357, 47, 5639, 11852, 737, 383, 2126, 286, 257, 350, 5639, 11852, 9198, 2870, 1524, 319, 262, 7840, 20515, 1627, 11, 550, 717, 587, 5220, 837, 2158, 2147, 1625, 286, 777, 4213, 788, 13, 1550, 2242, 3945, 36094, 11, 262, 350, 5639, 4281, 2722, 257, 2581, 422, 262, 1355, 721, 305, 701, 44150, 2908, 43068, 11, 326, 257, 4165, 1524, 307, 4920, 379 ]

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

[ 415, 292, 320, 3099, 338, 12250, 6866, 648, 671, 6862, 11, 262, 37203, 2978, 64, 5822, 286, 30311, 11, 1625, 284, 465, 9992, 13, 30126, 7285, 338, 5428, 6190, 510, 284, 2986, 354, 382, 11, 475, 373, 4137, 284, 13703, 416, 262, 37203, 2978, 292, 11, 508, 547, 3737, 5213, 326, 262, 12517, 37399, 561, 30419, 30311, 1306, 13, 198, 198, 818, 1105, 2079, 11, 28649, 282, 44008, 30126, 7285, 338, 17270, 978, 3885, 25194, 30126, 7285, 1908, 281, 5428, 284, 30311, 11, 739, 262, 3141, 286, 471, 2290, 456, 11356, 290, 399, 385, 10366, 11356, 13, 2893, 8024, 422, 30311, 11, 262, 12517, 5428, 23558, 832, 262, 13239, 286, 28649, 382, 13, 1318, 11, 257, 2665, 286, 262, 12517, 5428, 3405, 11978, 1028, 511, 22576, 625, 6082, 286, 262, 42996, 422, 30311, 13, 4784, 284, 12107, 38708, 14964, 83, 16528, 357, 1983, 2693, 8735, 532, 1987, 2805, 1584, 8, 373, 257, 14023, 43668, 3615, 14971, 13, 198, 198, 33, 1516, 83, 16528, 8350, 1028, 10713, 290, 42583, 13, 4362, 286, 428, 11, 339, 2722, 1811, 1918, 7432, 13, 1550, 2805, 807, 11, 1584, 11, 339, 4752, 326, 339, 373, 7384, 351, 257, 9845, 287, 465, 898, 1363, 13, 2293, 262, 9885, 9845, 1368, 11, 339, 531, 339, 2227, 284, 2666, 4819, 13, 2102, 11, 339, 3421, 465, 2000, 13, 5856, 257, 4046, 339, 531, 11, 366, 40, 481, 407, 1309, 777, 19147, 1592, 1911, 198, 198, 2202, 2805, 1987, 11, 1584, 11, 530, 1048, 373, 1043, 287, 257, 9482, 1097, 2354, 43307, 67, 5069, 9101, 70, 13, 4784, 284, 262, 1644, 11, 2279, 8203, 326, 262, 20117, 1048, 373, 14964, 83, 16528, 13, 7446, 3781, 4999, 1115, 2745, 1568, 326, 262, 3793, 1043, 287, 262, 1097, 547, 5600, 14964, 83, 16528, 338, 13, 4784, 284, 262, 1644, 11, 2147, 8203, 326, 257, 4065, 550, 587, 5364, 13, 198, 198, 19927, 198, 198, 5304, 7040, 198, 1129, 2816, 27244, 198, 29197, 4519, 7040, 287, 10710, 198, 5841, 21620, 3615, 7602, 2949, 4670, 1400, 986, 357, 19830, 296, 25, 366, 40, 1297, 345, 523, 9313, 8, 318, 281, 5062, 416, 10816, 8296, 6802, 28855, 38982, 6557, 358, 8471, 11, 2716, 416, 412, 8895, 14, 15610, 11650, 9133, 1737, 2321, 13, 198, 198, 1212, 5062, 373, 19332, 329, 262, 9133, 42235, 11289, 329, 6705, 371, 6362, 305, 14, 44, 2743, 14299, 23999, 329, 262, 1511, 400, 16328, 9133, 42235, 15434, 287, 2321, 810, 28855, 635, 6157, 262, 3670, 3496, 11, 366, 2949, 4670, 1400, 9313, 13, 198, 198, 21756, 198, 464, 5062, 373, 4635, 416, 28855, 38982, 6557, 358, 8471, 351, 25995, 36468, 18840, 290, 22080, 416, 34687, 5184, 7438, 31329, 11, 508, 468, 3111, 351, 7912, 884, 355, 1345, 330, 17305, 360, 3383, 78, 11, 1717, 342, 337, 6557, 81, 22281, 11, 17639, 17371, 11, 290, 7598, 3529, 11, 1871, 867, 1854, 13, 770, 5062, 468, 262, 10270, 286, 1049, 5240, 6606, 588, 40766, 13109, 2944, 439, 7305, 11, 31063, 390, 34802, 290, 317, 710, 7058, 11940, 31329, 13, 198, 198, 464, 3670, 705, 2949, 4670, 1400, 6, 2058, 422, 262, 3496, 33941, 416, 371, 14031, 309, 709, 283, 11, 508, 373, 257, 2968, 21580, 287, 5828, 13, 38982, 6557, 358, 8471, 6688, 11, 366, 50, 8369, 705, 3919, 8358, 645, 6, 318, 257, 835, 286, 21135, 326, 345, 460, 466, 1243, 13, 383, 3496, 9209, 286, 257, 705, 3919, 8358, 645, 6, 517, 19514, 284, 19661, 25, 705, 3673, 326, 345, 547, 407, 1016, 284, 3960, 329, 502, 3256, 705, 1662, 326, 345, 561, 407, 2051, 616, 36544, 4458, 632, 318, 269, 2178, 544, 11, 14405, 9383, 11, 1657, 290, 8258, 526, 198, 198, 37, 1142, 6557, 358, 8471, 468, 5081, 11, 366, 464, 5062, 318, 845, 3499, 11, 422, 262, 966, 286, 1570, 286, 10530, 5236, 13, 775, 423, 14348, 11, 48977, 290, 8258, 7259, 26, 1318, 389, 29039, 588, 27772, 272, 18144, 11, 2574, 474, 259, 14471, 357, 464, 17876, 8, 290, 7900, 8836, 43630, 1569, 16785, 11, 8954, 375, 81, 18526, 357, 6214, 345, 1568, 11, 477, 23823, 737, 9754, 262, 7259, 1900, 11, 326, 389, 8698, 11, 356, 635, 423, 845, 3499, 42686, 7259, 11, 588, 10844, 10094, 11, 406, 2290, 8869, 390, 14288, 30848, 357, 22622, 3847, 10301, 8, 290, 26421, 645, 573, 410, 323, 292, 357, 3987, 470, 467, 1497, 1541, 1776, 554, 1790, 11, 314, 2911, 262, 1171, 7832, 340, 290, 262, 42515, 318, 845, 10966, 526, 198, 198, 50, 28079, 198, 464, 717, 2060, 422, 262, 5062, 373, 366, 43, 2290, 8869, 1600, 257, 3496, 925, 287, 262, 7169, 82, 416, 262, 14015, 12, 34050, 16002, 20894, 6184, 223, 782, 417, 13, 28855, 4710, 11, 366, 40, 1842, 262, 3496, 13, 1114, 502, 340, 481, 1464, 307, 257, 9476, 284, 1441, 284, 7259, 326, 24558, 262, 1459, 5270, 351, 262, 5270, 326, 717, 1138, 428, 7505, 1600, 543, 287, 3090, 284, 2712, 319, 5243, 287, 5828, 290, 21291, 340, 373, 635, 5611, 287, 262, 1578, 1829, 13, 198, 198, 464, 5062, 635, 6774, 257, 3496, 357, 22622, 3847, 10301, 8, 13160, 416, 465, 4957, 9375, 1437, 13, 366, 2061, 314, 561, 749, 588, 318, 326, 661, 2453, 340, 880, 11, 326, 484, 588, 703, 9375, 1437, 6797, 290, 326, 845, 2582, 356, 460, 3285, 7259, 286, 25144, 6157, 416, 584, 39113, 1600, 531, 38982, 6557, 358, 8471, 13, 198, 198, 13409, 8313, 198, 32, 2041, 8313, 286, 262, 5062, 373, 1568, 2716, 290, 3407, 262, 7505, 3496, 366, 34, 620, 10094, 390, 327, 8207, 78, 1, 357, 22253, 1643, 286, 11225, 8, 329, 262, 649, 13632, 23397, 626, 64, 416, 262, 976, 1438, 357, 34, 620, 10094, 390, 269, 8207, 78, 13632, 23397, 626, 64, 8, 543, 31636, 28855, 355, 262, 1388, 20281, 13, 366, 34, 620, 10094, 390, 327, 8207, 78, 1, 318, 3194, 11, 14921, 290, 6157, 416, 28855, 38982, 6557, 358, 8471, 11, 318, 257, 3496, 326, 28855, 2630, 981, 3555, 290, 3612, 546, 262, 7110, 286, 262, 5337, 11, 543, 468, 587, 845, 4388, 290, 6292, 416, 262, 1171, 13, 198, 198, 464, 5062, 635, 4909, 1115, 7202, 8339, 25, 366, 14772, 39592, 64, 1600, 366, 43, 2290, 8869, 1, 220, 347 ]

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

[ 72, 44652, 2282, 340, 355, 2582, 355, 340, 373, 503, 286, 616, 5422, 764, 13893, 262, 5559, 373, 2636, 837, 290, 1312, 750, 299, 470, 765, 284, 1561, 546, 340, 764, 4598, 299, 470, 910, 1997, 837, 474, 567, 1820, 764, 4598, 299, 470, 910, 465, 1438, 764, 568, 345, 3492, 284, 466, 428, 1517, 5633, 12, 644, 5633, 77, 668, 313, 9232, 764, 72, 750, 299, 470, 1577, 474, 567, 1820, 640, 284, 3280, 764, 15506, 345, 561, 299, 470, 307, 351, 502, 611, 340, 373, 299, 470, 546, 262, 2647, 837, 826, 5633, 72, 1612, 837, 345, 561, 299, 470, 307, 1804, 428, 351, 502, 611, 340, 373, 655, 546, 502, 13665, 3364, 572, 319, 4676, 355, 257, 30256, 837, 826, 5633, 10148, 15506, 318, 428, 546, 644, 442, 324, 531, 5633, 10148, 15506, 508, 705, 82, 442, 324, 5633, 10148, 72, 1965, 837, 355, 611, 1312, 714, 299, 470, 3505, 764, 15506, 11752, 837, 683, 764, 3919, 764, 72, 373, 655, 3612, 780, 286, 2644, 3863, 764, 39363, 764, 72, 705, 76, 319, 257, 2975, 286, 2116, 12, 18206, 2288, 764, 5661, 318, 530, 286, 262, 1735, 6483, 764, 10148, 73, 567, 1820, 1807, 546, 340, 764, 258, 1807, 546, 340, 329, 523, 890, 326, 262, 4252, 3888, 257, 1310, 16965, 764, 64, 1641, 1816, 416, 514, 319, 511, 835, 284, 262, 10481, 764, 505, 9955, 373, 287, 257, 9583, 6050, 351, 257, 9053, 3526, 739, 465, 3211, 764, 1169, 584, 9955, 373, 287, 262, 995, 705, 82, 27314, 6386, 9422, 491, 14125, 764, 1169, 1751, 4161, 28734, 2157, 606, 1642, 26852, 13839, 424, 6259, 291, 26782, 290, 29044, 1123, 584, 764, 15506, 474, 567, 1820, 837, 10148, 1312, 12053, 837, 780, 1312, 714, 299, 470, 1011, 340, 7471, 764, 258, 531, 837, 7559, 644, 356, 655, 750, 373, 299, 470, 546, 262, 2647, 764, 1169, 835, 705, 82, 1239, 587, 546, 262, 2647, 764, 1169, 835, 318, 546, 262, 905, 764, 1169, 12526, 764, 5661, 318, 655, 1194, 12526, 764, 1169, 8034, 373, 546, 262, 2647, 764, 10148, 15506, 460, 1312, 466, 262, 2647, 1231, 262, 835, 5633, 2339, 837, 290, 991, 3677, 1997, 5633, 10148, 15506, 1312, 892, 345, 588, 262, 835, 1165, 880, 329, 326, 764, 10148, 15506, 17207, 764, 10148, 73, 567, 1820, 531, 837, 7559, 1312, 705, 76, 407, 2282, 340, 705, 82, 2089, 764, 5832, 705, 260, 922, 379, 340, 764, 4360, 3360, 1312, 892, 345, 705, 303, 11564, 703, 284, 2245, 1804, 340, 764, 4598, 345, 892, 3863, 345, 815, 651, 503, 286, 262, 1748, 329, 257, 1310, 1643, 5633, 10148, 15506, 318, 326, 257, 13052, 393, 257, 1808, 5633, 10148, 15506, 655, 284, 651, 534, 1182, 736, 1978, 764, 10148, 72, 36872, 616, 1182, 284, 804, 379, 683, 764, 72, 714, 1254, 262, 36842, 379, 262, 736, 286, 616, 14511, 28436, 290, 8469, 1359, 1028, 262, 256, 5117, 290, 262, 5755, 3212, 286, 262, 19422, 3996, 764, 270, 373, 3297, 286, 19201, 764, 72, 14682, 616, 1182, 736, 290, 6071, 764, 1662, 12546, 278, 351, 474, 567, 1820, 837, 655, 4203, 262, 23527, 278, 319, 616, 1182, 764, 15506, 644, 1838, 345, 892, 616, 1182, 318, 407, 2104, 1541, 5633, 10919, 257, 21140, 640, 1312, 705, 76, 1719, 287, 428, 1181, 764, 10148, 73, 567, 1820, 1718, 257, 4144, 286, 5576, 7277, 2945, 220, 3711, 8887, 764, 258, 531, 837, 7559, 11594, 3724, 764, 10148, 15506, 508, 262, 5968, 318, 11594, 5633, 10148, 15506, 11594, 8352, 764, 10148, 15506, 389, 345, 772, 1262, 2456, 837, 582, 5633, 273, 389, 345, 655, 22889, 351, 257, 2168, 286, 25785, 290, 32262, 829, 5633, 10148, 73, 567, 1820, 5100, 6364, 837, 7559, 11594, 764, 20285, 764, 1169, 32705, 5156, 9657, 329, 345, 764, 10148, 15506, 1312, 750, 299, 470, 760, 465, 1438, 764, 4919, 705, 67, 339, 4656, 5633, 10148, 15506, 16298, 705, 67, 764, 10148, 270, 750, 299, 470, 1612, 1997, 379, 717, 764, 8524, 1312, 925, 262, 4637, 837, 475, 262, 2642, 530, 764, 15506, 326, 373, 6635, 407, 616, 8046, 764, 10148, 15506, 645, 837, 10148, 474, 567, 1820, 4987, 764, 15506, 340, 373, 299, 470, 764, 258, 705, 67, 655, 7891, 503, 286, 14321, 837, 290, 339, 705, 67, 587, 287, 262, 4436, 837, 1165, 764, 20839, 345, 760, 262, 12702, 2137, 5633, 10148, 15506, 339, 373, 655, 617, 5141, 764, 10148, 15506, 6497, 510, 329, 7219, 938, 614, 837, 10148, 339, 531, 764, 15506, 1312, 1965, 1088, 764, 10148, 270, 373, 2138, 2612, 48133, 284, 5967, 474, 567, 1820, 4737, 1088, 319, 616, 8378, 764, 15506, 523, 837, 644, 5633, 5832, 892, 5156, 373, 2111, 284, 651, 502, 8539, 3653, 764, 10148, 258, 925, 257, 7838, 286, 46365, 764, 270, 373, 299, 470, 1107, 6452, 764, 270, 750, 787, 502, 1254, 257, 1310, 6283, 837, 3612, 703, 262, 32705, 373, 783, 2636, 290, 339, 705, 67, 655, 587, 6776, 290, 7954, 379, 502, 764, 392, 635, 3612, 546, 703, 1243, 1244, 423, 587, 1180, 611, 1312, 550, 299, 470, 6294, 606, 326, 1755, 764, 3919, 4240, 5156, 550, 587, 523, 25890, 326, 1312, 705, 67, 6294, 11594, 837, 7138, 24357, 329, 257, 9336, 319, 5581, 764, 15506, 644, 611, 1312, 550, 299, 470, 6294, 606, 5633, 75, 5309, 764, 10148, 15506, 8458, 837, 10148, 474, 567, 1820, 39247, 276, 26625, 764, 15506, 612, 705, 82, 645, 8458, 764, 10148, 15506, 788, 644, 5633, 10148, 15506, 534, 3625, 1011, 345, 810, 345, 761, 284, 307, 764, 10148, 72, 1807, 546, 428, 764, 15506, 616, 3625, 423, 2077, 502, 284, 617, 2495, 5210, 4113, 764, 10148, 15506, 326, 373, 534, 19317, 837, 25046, 534, 3625, 1863, 351, 764, 10148, 72, 13818, 764, 64, 29556, 286, 16176, 22398, 13112, 416, 837, 555, 48544, 306, 475, 4950, 837, 30047, 502, 1312, 2622, 284, 869, 443, 261, 290, 787, 683, 6594, 257, 11354, 2442, 7825, 764, 64, 1573, 4120, 287, 616, 1182, 837, 22619, 4651, 1058, 1363, 764, 9776, 326, 644, 428, 714, 307, 5633, 9776, 326, 644, 1312, 2227, 5633, 15506, 1312, 466, 299, 470, 765, 284, 1577, 345, 736, 284, 442, 324, 837, 10148, 1312, 531, 764, 8117, 373, 257, 845, 890, 14985, 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 ]

[ 13, 317, 1790, 835, 878, 5325, 25557, 13656, 318, 5706, 1869, 338, 10290, 543, 318, 319, 262, 2524, 286, 257, 1966, 356, 343, 13, 198, 198, 464, 42521, 10644, 5679, 262, 8372, 3331, 284, 5325, 25557, 13656, 13, 198, 198, 6214, 635, 220, 198, 406, 3320, 319, 262, 5866, 42521, 198, 6372, 654, 286, 262, 5866, 42521, 198, 198, 41506, 6117, 220, 198, 383, 42521, 10644, 25, 50077, 36869, 10290, 284, 1004, 354, 75, 671, 1377, 9223, 20342, 13656, 318, 546, 19487, 866, 428, 2708, 11, 351, 1811, 5986, 198, 198, 19927, 198, 198, 43, 3320, 319, 262, 5866, 42521, 15546, 25557, 13656, 318, 257, 5793, 319, 262, 5866, 42521, 287, 4492, 655, 33218, 286, 5325, 25557, 11, 13643, 10932, 11, 319, 262, 8372, 3331, 13, 198, 198, 464, 5793, 373, 3170, 416, 262, 42521, 7162, 3883, 287, 1248, 5892, 319, 262, 2524, 286, 281, 1468, 356, 343, 290, 220, 7644, 5793, 13, 198, 198, 464, 356, 343, 318, 319, 262, 584, 1735, 286, 262, 5793, 7022, 13, 198, 198, 18122, 198, 198, 1858, 373, 4271, 257, 356, 343, 319, 262, 2524, 1900, 355, 19635, 338, 11, 3584, 262, 3891, 15780, 591, 393, 29751, 547, 635, 973, 13, 632, 373, 4615, 287, 1248, 3104, 290, 262, 7850, 373, 36405, 788, 13, 220, 1041, 1930, 874, 329, 262, 649, 14896, 5793, 290, 356, 343, 547, 4376, 287, 1248, 6420, 290, 9177, 262, 1708, 614, 13, 198, 198, 3152, 262, 9014, 286, 262, 9566, 39517, 290, 40005, 647, 356, 343, 7, 6390, 10091, 257, 5929, 5916, 290, 47434, 1208, 373, 12006, 11, 428, 3058, 357, 7908, 828, 318, 262, 691, 530, 286, 663, 220, 198, 4906, 319, 262, 2104, 5866, 42521, 13, 198, 198, 15457, 284, 262, 5793, 198, 198, 464, 5793, 460, 307, 4251, 319, 2366, 422, 262, 8372, 886, 286, 5325, 25557, 10290, 11, 393, 416, 2975, 319, 257, 2392, 6339, 2884, 536, 622, 381, 6756, 13, 1318, 318, 2158, 645, 1171, 2844, 13174, 1895, 284, 262, 5793, 13, 198, 198, 3041, 620, 2029, 262, 13656, 198, 198, 8585, 19487, 1863, 318, 5325, 25557, 10290, 262, 13325, 16997, 7696, 319, 262, 7850, 13, 383, 7696, 12538, 262, 1388, 6518, 468, 257, 2060, 3934, 11, 290, 373, 12006, 287, 7815, 287, 262, 2739, 1248, 400, 4289, 13, 383, 317, 1821, 3865, 2975, 543, 340, 10732, 635, 24234, 257, 736, 7050, 11, 543, 373, 1752, 262, 7968, 18645, 1022, 49927, 290, 13643, 10932, 13, 383, 736, 7050, 7696, 9667, 422, 262, 1511, 400, 290, 1478, 400, 10675, 11, 290, 468, 1115, 610, 2052, 11, 262, 12076, 734, 852, 6235, 11, 351, 262, 4318, 530, 1342, 523, 11, 355, 257, 1255, 286, 1568, 25448, 13, 220, 1318, 318, 257, 11091, 2033, 286, 285, 2675, 278, 379, 262, 736, 41555, 994, 13, 8026, 329, 262, 25448, 286, 520, 3362, 338, 32536, 11, 6492, 422, 1957, 36343, 1678, 373, 9639, 319, 31812, 82, 1474, 262, 7696, 13, 198, 198, 32397, 5325, 25557, 318, 257, 7786, 19396, 1444, 366, 28254, 338, 6756, 1, 393, 366, 28254, 27549, 1600, 290, 2252, 319, 257, 966, 1900, 355, 366, 26130, 9866, 338, 24478, 1911, 198, 198, 464, 42521, 10644, 11, 543, 318, 319, 262, 6697, 1735, 286, 262, 7850, 422, 262, 5793, 11, 5679, 262, 7840, 3331, 284, 402, 1617, 261, 13656, 13, 198, 198, 6214, 635, 220, 198, 406, 3320, 319, 262, 5866, 42521, 198, 198, 19927, 198, 198, 41506, 6117, 220, 198, 18903, 286, 5325, 25557, 13656, 379, 4903, 2384, 13, 2398, 13, 2724, 198, 198, 43, 3320, 319, 262, 5866, 42521, 38374, 8107, 25160, 5483, 6289, 318, 257, 18147, 2647, 26624, 1448, 9393, 287, 8235, 13, 198, 198, 38374, 8107, 25160, 5483, 6289, 743, 635, 3522, 284, 25, 198, 9842, 268, 615, 12523, 5483, 6289, 11, 16236, 82, 2888, 338, 3430, 287, 40274, 198, 9842, 8107, 25160, 5483, 6289, 357, 40916, 828, 257, 8309, 5062, 416, 262, 1448, 198, 9842, 8107, 25160, 5483, 6289, 357, 26240, 828, 257, 7358, 11648, 2646, 546, 262, 1448, 198, 9842, 8107, 25160, 5483, 6289, 25, 1215, 4267, 11, 257, 2177, 11648, 2646, 546, 262, 1448, 198, 366, 38374, 268, 615, 12523, 5483, 6289, 1, 357, 785, 9150, 828, 257, 288, 35410, 18840, 416, 2692, 406, 10205, 46057, 366, 34, 620, 5488, 1, 18861, 11, 17155, 11, 393, 5199, 14506, 743, 3522, 284, 25, 628, 5199, 21532, 14506, 357, 1507, 3312, 1906, 1507, 4051, 828, 1605, 37986, 11, 711, 29995, 11, 290, 14325, 198, 5199, 14506, 357, 54, 21564, 14971, 8, 357, 1507, 2670, 1906, 1129, 2931, 828, 22945, 12266, 3615, 14971, 11, 9591, 286, 34910, 1248, 5999, 198, 5199, 337, 861, 83, 1040, 14506, 357, 1558, 3459, 1906, 1507, 4310, 828, 3517, 3026, 18807, 287, 262, 28630, 35696, 198, 7361, 5199, 14506, 11, 362, 358, 21770, 316, 357, 1507, 4304, 1906, 38503, 828, 3517, 11132, 3615, 14971, 11, 10239, 286, 8411, 357, 7378, 8, 329, 26328, 2763, 10972, 2688, 36094, 1906, 1129, 1959, 290, 34625, 1906, 41931, 198, 5199, 36719, 14506, 357, 1129, 1731, 1906, 42334, 828, 5931, 11949, 290, 6240, 3165, 17506, 198, 17155, 14506, 11, 21623, 198, 5811, 14506, 11, 11905, 7533, 5464, 198, 5811, 14506, 357, 34470, 6749, 8, 357, 6286, 27937, 828, 1964, 11276, 290, 4701, 198, 5811, 14506, 357, 15914, 263, 8, 357, 1507, 2425, 1906, 1129, 3510, 828, 1966, 6638, 3173, 44185, 198, 198, 6214, 635, 198, 5199, 44972, 357, 6381, 4131, 328, 2288, 8, 198, 14506, 357, 82, 700, 480, 8, 12218, 7024, 547, 2714, 287, 7137, 319, 718, 3389, 13540, 11, 262, 717, 1201, 15589, 706, 10518, 2489, 547, 9958, 706, 262, 2422, 12092, 286, 7169, 13, 383, 2351, 4765, 4281, 9301, 262, 2180, 1964, 4671, 422, 11983, 11, 3756, 284, 262, 9323, 286, 649, 4671, 13, 309, 3686, 315, 43307, 89, 282, 338, 10584, 1044, 3615, 357, 1565, 2969, 8, 1839, 257, 2383, 5373, 287, 428, 7024, 416, 13977, 4153, 13, 1415, 4, 286, 262, 5690, 13, 770, 5373, 373, 262, 3599, 966, 286, 257, 5801, 1487, 287, 262, 4645, 286, 262, 1181, 290, 3592, 287, 7137, 13, 46226, 21666, 373, 8684, 13, 21, 7225, 198, 198, 464, 4380, 338, 3615, 357, 14082, 8, 373, 262, 24659, 286, 262, 1966, 5870, 47, 290, 373, 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 ]

[ 12, 47, 396, 4316, 26, 198, 262, 3418, 286, 34686, 72, 35979, 12, 646, 12, 43, 10486, 357, 16341, 262, 28830, 29364, 286, 23382, 12, 35, 480, 12, 646, 12, 13924, 496, 290, 9281, 12, 13217, 261, 259, 1776, 198, 3354, 286, 262, 3418, 286, 309, 2634, 44374, 280, 1045, 26, 290, 198, 3354, 286, 262, 3418, 286, 29542, 516, 4106, 13, 198, 198, 464, 10311, 373, 757, 25121, 366, 49, 452, 72, 35979, 12, 646, 12, 43, 10486, 960, 51, 2634, 44374, 280, 1045, 1, 287, 16101, 13, 198, 198, 49, 452, 72, 35979, 12, 646, 12, 43, 10486, 960, 51, 2634, 44374, 280, 1045, 373, 32424, 287, 15408, 618, 340, 373, 38913, 656, 262, 5755, 654, 286, 12670, 454, 8480, 960, 49, 452, 72, 35979, 12, 646, 12, 43, 10486, 290, 29542, 516, 4106, 13, 198, 198, 25341, 286, 8411, 198, 198, 1212, 10311, 7018, 262, 1708, 12688, 286, 8411, 25, 198, 198, 36, 1564, 2482, 198, 198, 51, 2634, 44374, 280, 1045, 11, 1248, 3134, 1906, 1129, 5237, 198, 198, 49, 452, 72, 35979, 12, 646, 12, 43, 10486, 960, 51, 2634, 44374, 280, 1045, 11, 20033, 1906, 42246, 198, 198, 51, 2634, 44374, 280, 1045, 11, 15963, 1906, 41023, 198, 198, 49, 452, 72, 35979, 12, 646, 12, 43, 10486, 960, 51, 2634, 44374, 280, 1045, 11, 16101, 1906, 33581, 198, 198, 6214, 635, 220, 628, 7343, 286, 5398, 2717, 13901, 12815, 198, 11303, 5398, 13901, 12815, 198, 198, 41506, 6117, 220, 198, 198, 49, 2530, 2106, 422, 262, 10074, 286, 8411, 25, 198, 309, 2634, 44374, 280, 1045, 357, 1507, 3134, 532, 23859, 8, 198, 34686, 72, 35979, 12, 646, 12, 43, 10486, 960, 51, 2634, 44374, 280, 1045, 357, 45403, 532, 19322, 8, 198, 309, 2634, 44374, 280, 1045, 357, 44227, 532, 16101, 8, 198, 34686, 72, 35979, 12, 646, 12, 43, 10486, 960, 51, 2634, 44374, 280, 1045, 357, 41023, 532, 15408, 8, 198, 198, 7469, 16260, 14778, 2717, 13901, 12815, 32140, 28044, 373, 257, 2717, 13901, 4783, 287, 14778, 11, 3340, 11, 326, 373, 7997, 287, 262, 2097, 286, 13815, 286, 3340, 422, 1248, 3134, 284, 15963, 13, 198, 198, 1026, 373, 2727, 416, 262, 3517, 2258, 2253, 2191, 11, 1248, 3134, 13, 632, 19954, 7317, 286, 262, 8329, 26313, 286, 7299, 28044, 11, 11842, 3743, 11, 10983, 1636, 11, 2409, 3841, 11, 290, 2944, 519, 3687, 290, 2688, 13, 198, 198, 818, 37547, 11, 340, 373, 2266, 18156, 284, 19607, 262, 636, 286, 262, 27264, 286, 520, 13, 18113, 35942, 2634, 70, 44725, 9105, 287, 262, 42823, 286, 3423, 3841, 13, 198, 198, 818, 21709, 11, 340, 373, 2266, 18156, 284, 3473, 286, 25, 198, 262, 7968, 286, 7299, 28044, 11, 357, 16341, 262, 27264, 290, 262, 7404, 286, 520, 13, 18113, 35942, 2634, 70, 44725, 828, 290, 262, 11684, 286, 1766, 1512, 566, 290, 2944, 519, 26, 198, 262, 3240, 286, 28423, 1140, 4244, 290, 262, 5366, 12, 68, 6470, 3354, 286, 262, 7968, 286, 6528, 7957, 2088, 11, 290, 262, 27264, 286, 47062, 290, 262, 15425, 286, 47062, 290, 12242, 33487, 13, 198, 198, 464, 13901, 4783, 373, 32424, 287, 19322, 618, 340, 373, 38913, 656, 47062, 11, 4544, 271, 421, 23013, 11, 1375, 487, 585, 290, 6528, 7957, 2088, 5755, 654, 13, 198, 198, 25341, 286, 8411, 198, 198, 1212, 10311, 7018, 262, 1708, 12688, 286, 8411, 25, 198, 198, 36, 1564, 2482, 198, 198, 6214, 635, 220, 198, 7343, 286, 5398, 2717, 13901, 12815, 198, 11303, 5398, 13901, 12815, 198, 198, 41506, 6117, 220, 198, 36032, 2106, 422, 262, 10074, 286, 8411, 198, 464, 1623, 48209, 286, 7299, 28044, 198, 198, 7469, 16260, 14778, 2717, 13901, 12815, 33939, 11680, 743, 3522, 284, 25, 198, 198, 33939, 11680, 357, 28572, 828, 257, 1964, 2151, 287, 4881, 198, 33939, 11680, 357, 15017, 46043, 828, 257, 49119, 1964, 2151, 287, 2986, 46043, 198, 33939, 11680, 286, 5510, 41770, 11, 257, 1964, 2151, 287, 309, 24076, 198, 33939, 11680, 286, 29684, 10071, 11, 257, 49119, 1964, 12801, 287, 29684, 10071, 198, 33939, 2351, 11680, 11, 1605, 4390, 3615, 4787, 48833, 2995, 40, 261, 15358, 45501, 357, 273, 22088, 12, 1069, 3803, 15358, 45501, 8, 31555, 39270, 290, 13559, 17745, 1912, 319, 511, 28430, 284, 262, 22088, 9933, 2564, 13, 632, 2499, 319, 2048, 597, 1611, 286, 5047, 27756, 960, 8201, 1588, 15568, 11, 1402, 17751, 313, 1460, 11, 290, 23206, 17045, 13, 2102, 11, 22088, 15358, 45501, 1276, 307, 1760, 287, 3403, 326, 389, 530, 4326, 1497, 422, 262, 318, 2577, 801, 1173, 966, 286, 257, 7532, 13, 198, 198, 464, 734, 3858, 286, 22088, 15358, 45501, 389, 281, 295, 12, 1069, 3803, 290, 269, 341, 12, 1069, 3803, 13, 327, 341, 12, 1069, 3803, 15358, 45501, 318, 973, 618, 262, 27756, 286, 1393, 318, 19888, 5047, 13, 383, 27756, 318, 19888, 5047, 780, 262, 22918, 329, 15358, 45501, 318, 1342, 621, 262, 279, 40, 357, 64, 14, 74, 14, 64, 22918, 7, 40, 29720, 554, 428, 2099, 286, 15358, 45501, 11, 220, 262, 31607, 7108, 318, 22533, 5047, 290, 19888, 5047, 17745, 389, 9639, 284, 307, 12725, 284, 340, 13, 1052, 295, 12, 1069, 3803, 15358, 45501, 318, 618, 262, 31607, 7108, 318, 19888, 5047, 290, 22533, 5047, 17745, 357, 24815, 326, 22918, 329, 15358, 45501, 318, 3744, 621, 262, 279, 40, 8, 389, 9639, 284, 307, 12725, 284, 340, 13, 632, 318, 1690, 973, 287, 7532, 1308, 2649, 11, 1660, 3781, 11, 290, 3081, 1630, 13, 383, 1660, 12, 34453, 26664, 290, 5047, 17745, 884, 355, 15568, 11, 23206, 17045, 11, 290, 34337, 1460, 11007, 284, 6941, 9545, 543, 389, 38642, 3973, 5047, 416, 14583, 22088, 291, 13100, 284, 262, 35831, 26664, 31607, 7108, 13, 383, 1602, 346, 2889, 515, 31607, 7108, 10874, 286, 281, 22088, 13821, 10345, 1448, 810, 262, 7977, 17745, 286, 257, 11710, 284, 307, 11266, 290, 5554, 1431, 460, 11007, 981, 6427, 832, 262, 5721, 960, 64, 269, 341, 291, 31607, 7108, 318, 973, 284, 4553, 281, 507, 290, 281, 281, 26523, 31607, 7108, 318, 973, 284, 4553, 269, 602, 13, 327, 341, 5163, 15358, 45501, 318, 973, 618, 262, 10348, 17745, 284, 4553, 389, 269, 602, 290, 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 ]

[ 465, 4445, 11114, 764, 270, 3114, 588, 257, 17726, 3091, 329, 10976, 286, 13020, 284, 10463, 10087, 764, 4360, 340, 373, 1223, 845, 837, 845, 4923, 764, 11085, 339, 25880, 281, 15313, 7118, 6466, 287, 257, 18620, 10017, 15584, 837, 543, 11191, 1123, 18570, 7097, 22674, 286, 262, 1167, 2533, 560, 379, 19172, 764, 17351, 11949, 837, 1719, 625, 12277, 812, 286, 1998, 287, 10087, 3026, 8705, 837, 14084, 3940, 262, 2615, 3352, 837, 2727, 10348, 15268, 837, 475, 26684, 17332, 355, 287, 465, 4547, 7118, 3022, 691, 287, 3215, 2678, 764, 16944, 3259, 7366, 13788, 416, 39005, 428, 442, 4501, 10017, 764, 2611, 332, 44645, 1306, 2496, 373, 262, 1167, 2533, 560, 7030, 18264, 2524, 764, 270, 373, 5140, 1969, 284, 262, 25724, 44338, 837, 284, 2148, 10013, 13623, 3424, 41822, 284, 19916, 511, 2832, 290, 7405, 706, 13840, 764, 270, 373, 257, 36364, 14540, 286, 15222, 4905, 288, 2416, 274, 837, 7309, 21103, 837, 2063, 12, 12853, 2910, 16074, 21628, 11668, 290, 477, 10524, 286, 3315, 7030, 764, 16944, 1767, 3354, 547, 635, 612, 287, 20038, 355, 5361, 20550, 547, 8179, 3598, 1528, 257, 1285, 764, 12001, 6844, 837, 13623, 290, 410, 586, 942, 547, 20707, 355, 4713, 2057, 9416, 547, 6793, 4445, 764, 3822, 431, 15280, 25880, 428, 9098, 3715, 837, 11236, 355, 7205, 10281, 749, 14081, 6844, 837, 290, 1908, 262, 4590, 837, 355, 257, 1281, 9517, 837, 284, 2330, 31176, 764, 292, 257, 1255, 2276, 6512, 532, 390, 41961, 735, 32413, 23594, 3371, 465, 749, 7256, 1545, 764, 4360, 2582, 281, 48244, 1352, 373, 3170, 1969, 416, 764, 8499, 257, 1178, 1933, 286, 10256, 284, 1064, 503, 703, 284, 8076, 340, 6512, 390, 41961, 735, 3443, 1043, 281, 1468, 6512, 5924, 287, 9482, 2636, 10087, 764, 258, 8302, 284, 307, 19701, 764, 1462, 3368, 31818, 329, 6844, 290, 13623, 837, 9482, 373, 5952, 691, 287, 262, 37119, 837, 655, 878, 26428, 837, 618, 262, 5417, 28633, 7924, 47301, 379, 477, 1167, 2533, 560, 82, 2237, 18028, 764, 27547, 284, 262, 991, 30352, 18117, 15025, 1633, 21143, 1080, 837, 477, 28164, 15147, 21678, 290, 262, 8508, 286, 9482, 7309, 373, 21894, 9387, 284, 477, 9519, 764, 7109, 764, 75, 2150, 1182, 286, 262, 45105, 5011, 837, 373, 29731, 10607, 355, 772, 465, 1049, 12, 18223, 12, 23936, 17197, 837, 3632, 88, 43803, 550, 11462, 7184, 764, 3822, 431, 694, 364, 4590, 20005, 2727, 257, 3326, 4674, 4947, 286, 5048, 425, 4263, 764, 8499, 4379, 617, 517, 10457, 3392, 837, 4898, 431, 694, 364, 1545, 837, 1402, 6512, 3869, 69, 8589, 32773, 5220, 326, 1141, 10737, 339, 815, 1429, 465, 4590, 15320, 290, 1944, 340, 284, 262, 2276, 10087, 1171, 319, 262, 10087, 5230, 764, 3822, 431, 15280, 991, 468, 407, 3066, 475, 663, 2126, 318, 287, 9110, 764, 82, 1381, 648, 1752, 1263, 1779, 273, 264, 743, 64, 373, 1908, 416, 2330, 31176, 284, 262, 1167, 2533, 560, 329, 257, 264, 1381, 648, 764, 261, 262, 26770, 1502, 837, 477, 572, 12, 26278, 3085, 9141, 764, 82, 1381, 648, 373, 2714, 287, 262, 1388, 10384, 284, 262, 1167, 2533, 560, 764, 1640, 1263, 1779, 273, 264, 743, 64, 837, 257, 24804, 24736, 14994, 5852, 373, 14921, 319, 281, 15321, 3800, 837, 588, 883, 287, 6918, 546, 6156, 5822, 10087, 764, 258, 373, 257, 1049, 1621, 4184, 2357, 764, 14261, 1779, 273, 264, 743, 64, 5545, 257, 37196, 18129, 319, 262, 37775, 286, 10087, 1972, 6405, 290, 262, 26883, 286, 262, 10087, 264, 7737, 15462, 3108, 764, 258, 373, 6189, 319, 257, 3967, 1735, 290, 465, 2961, 8791, 351, 3215, 10846, 6512, 264, 13, 422, 4150, 339, 1392, 262, 21231, 329, 465, 1438, 837, 691, 4999, 703, 9098, 9341, 3206, 16925, 389, 290, 703, 484, 2948, 5798, 355, 373, 262, 6678, 1339, 329, 1866, 286, 4569, 10087, 4172, 764, 1462, 10176, 465, 1029, 1241, 286, 3707, 339, 1341, 346, 2759, 3421, 422, 530, 284, 1194, 286, 1440, 10087, 8950, 764, 261, 4854, 777, 2456, 286, 11501, 837, 1178, 7519, 290, 867, 20669, 1364, 9247, 326, 484, 4444, 510, 319, 262, 8531, 1735, 286, 262, 10087, 3592, 764, 3822, 431, 15280, 837, 508, 373, 5586, 319, 257, 29780, 3652, 436, 27585, 9658, 837, 475, 1625, 284, 257, 1180, 7664, 764, 361, 477, 10087, 837, 8978, 1263, 1779, 273, 264, 743, 292, 1241, 286, 4430, 837, 7690, 262, 264, 7737, 15462, 3108, 837, 788, 612, 561, 307, 645, 649, 5270, 286, 10087, 284, 2555, 1642, 3376, 10135, 355, 35730, 6512, 373, 11560, 7950, 611, 597, 10846, 6512, 1392, 10423, 351, 607, 937, 3477, 35567, 764, 19545, 3329, 1263, 1779, 273, 264, 743, 64, 9167, 4898, 431, 15280, 284, 3551, 546, 465, 27951, 287, 257, 7093, 339, 3199, 287, 465, 1468, 4692, 1499, 764, 3822, 431, 15280, 6520, 837, 2282, 326, 339, 460, 2453, 884, 6266, 691, 422, 2330, 31176, 465, 35730, 764, 14261, 1779, 273, 264, 743, 64, 1392, 7954, 290, 1965, 4898, 431, 15280, 611, 339, 2993, 351, 4150, 339, 10830, 764, 439, 262, 1944, 10087, 705, 1167, 2533, 560, 36520, 547, 30130, 8680, 837, 12451, 1223, 1688, 764, 3822, 431, 15280, 30180, 4893, 326, 339, 318, 3599, 284, 1833, 508, 1263, 1779, 273, 264, 743, 64, 318, 764, 11545, 2745, 1568, 1263, 1779, 273, 264, 743, 64, 1364, 262, 18815, 329, 5093, 5113, 23218, 837, 810, 319, 262, 6341, 286, 262, 31986, 12, 4908, 7850, 837, 748, 3428, 284, 423, 1963, 10455, 286, 3215, 10846, 10087, 23351, 837, 3170, 530, 26940, 6512, 18815, 764, 3919, 530, 5399, 683, 523, 837, 852, 17533, 837, 329, 262, 717, 640, 287, 465, 1204, 339, 2067, 284, 466, 262, 10087, 6507, 71, 2271, 764, 86, 897, 278, 30623, 262, 6512, 2003, 11553, 3437, 286, 262, 10087, 1167, 2533, 560, 28273, 26876, 837, 5495, 281, 13097, 2446, 286, 1642, 30623, 18570, 517, 20923, 1058, 4245, 3929, 606, 351, 17392, 12910, 1262, 2041, 8217, 764, 13893, 645, 1957, 6512, 7247, 703, 284, 466, 340, 837, 4898, 431, 15280, 373, 8686, 284, 428, 4876, 764, 1462, 787, 1243, 4577, 329, 584, 10087, 837, 2276, 287, 3877, 3066, 326, 428, 815, 307, 1760, 379, 1755, 290, 4898, 431, 15280, 422, 783, 319, 815, 3993, 691, 734, 2250, 706, 8073 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 339, 550, 7817, 379, 262, 7009, 4445, 1524, 7223, 284, 262, 1363, 764, 261, 20461, 64, 705, 82, 1918, 938, 614, 837, 7374, 705, 82, 670, 550, 3220, 34355, 764, 1102, 66, 585, 837, 511, 34331, 3956, 837, 550, 2077, 625, 262, 1641, 22120, 764, 15462, 837, 511, 1306, 12, 68, 335, 395, 3956, 837, 550, 1464, 587, 2138, 49010, 286, 262, 1043, 1359, 1363, 290, 550, 257, 11428, 1597, 286, 465, 898, 764, 16885, 286, 511, 15153, 837, 3326, 414, 837, 262, 34331, 286, 262, 1641, 837, 290, 9550, 837, 262, 18887, 837, 547, 6405, 764, 5562, 550, 1364, 7374, 284, 6687, 262, 1043, 1359, 1363, 764, 10197, 351, 607, 1037, 12, 7091, 705, 67, 3111, 379, 262, 1363, 1201, 262, 1918, 286, 607, 5229, 5193, 812, 878, 12, 1169, 4876, 373, 9721, 329, 530, 582, 764, 11498, 525, 590, 15240, 329, 607, 3956, 705, 82, 880, 12, 11873, 837, 475, 1111, 262, 1043, 1359, 1363, 290, 262, 7009, 1110, 1524, 550, 587, 9393, 416, 20461, 64, 764, 40078, 2936, 340, 373, 465, 1226, 498, 7077, 284, 1394, 262, 734, 23980, 6776, 764, 361, 465, 1535, 750, 407, 1577, 503, 717, 764, 7091, 5901, 262, 573, 461, 23570, 422, 262, 1660, 17379, 416, 262, 736, 3420, 764, 15506, 550, 356, 13488, 837, 340, 561, 423, 587, 1336, 3223, 351, 645, 26202, 326, 262, 42666, 561, 991, 307, 612, 764, 10148, 7091, 27846, 379, 683, 355, 673, 4624, 262, 40231, 625, 262, 2046, 764, 15506, 13769, 837, 423, 345, 407, 1576, 670, 284, 466, 5633, 10148, 15506, 611, 1312, 4425, 616, 6621, 837, 892, 345, 326, 1312, 705, 67, 307, 517, 1479, 286, 670, 5633, 10148, 11498, 525, 590, 3114, 1497, 14934, 813, 764, 372, 3956, 705, 82, 3809, 41534, 764, 15506, 290, 326, 25684, 262, 25837, 24140, 1312, 561, 1254, 550, 1997, 3022, 284, 345, 428, 1755, 764, 10148, 15506, 497, 297, 2993, 262, 2802, 286, 262, 5156, 12, 64, 2576, 286, 1342, 621, 17280, 812, 764, 10148, 11498, 525, 590, 1718, 503, 262, 8509, 290, 23470, 340, 656, 7888, 24314, 764, 15506, 13769, 837, 1312, 5281, 262, 16790, 764, 10148, 15506, 289, 3020, 837, 10148, 7374, 531, 2157, 607, 764, 15506, 290, 550, 345, 587, 697, 455, 276, 837, 561, 345, 423, 973, 340, 5633, 10148, 15506, 3763, 837, 286, 1781, 837, 10148, 673, 531, 351, 6228, 18979, 764, 15506, 290, 611, 262, 2823, 2984, 26803, 5633, 10148, 7091, 34866, 992, 607, 9686, 764, 24571, 2988, 550, 3181, 510, 477, 607, 9397, 284, 4384, 257, 966, 32566, 837, 290, 326, 1109, 714, 307, 2407, 42010, 379, 1661, 764, 7091, 5281, 262, 8509, 24314, 284, 262, 2046, 284, 27805, 764, 15506, 287, 597, 1339, 837, 2147, 750, 1645, 764, 10148, 15506, 428, 1755, 764, 10148, 40078, 21893, 757, 764, 15506, 6621, 837, 345, 1276, 6991, 502, 345, 705, 297, 407, 719, 523, 19538, 306, 757, 764, 10148, 15506, 285, 3020, 837, 10148, 4124, 590, 285, 11137, 837, 37367, 319, 262, 27805, 764, 15506, 703, 373, 534, 1110, 379, 262, 1524, 5633, 10148, 1640, 257, 2589, 837, 673, 1807, 7374, 561, 299, 470, 8281, 284, 607, 5609, 262, 2426, 764, 8524, 339, 531, 837, 7559, 257, 922, 1110, 837, 1312, 892, 764, 1169, 6072, 84, 1424, 9717, 12086, 465, 3042, 259, 11483, 3443, 837, 290, 1312, 750, 407, 423, 284, 6878, 597, 286, 262, 6510, 764, 10148, 11498, 525, 590, 27846, 379, 683, 351, 20242, 764, 7091, 2993, 7374, 16563, 284, 1011, 257, 5078, 284, 257, 18057, 837, 1309, 3436, 33009, 257, 2933, 705, 82, 4220, 764, 261, 262, 1528, 326, 7374, 550, 2936, 339, 1276, 6878, 257, 2933, 837, 339, 1625, 1363, 287, 257, 2042, 10038, 764, 15506, 1312, 705, 76, 9675, 837, 10148, 673, 531, 2391, 764, 258, 33091, 287, 465, 5118, 764, 15506, 1312, 4504, 329, 14678, 40556, 837, 475, 345, 547, 407, 994, 764, 10148, 11498, 525, 590, 1718, 262, 27805, 422, 262, 2046, 290, 4624, 340, 319, 262, 3084, 764, 15506, 1312, 1276, 423, 587, 2263, 285, 560, 1043, 284, 607, 649, 2292, 764, 72, 892, 673, 705, 297, 466, 2407, 880, 612, 764, 372, 37769, 3947, 845, 1611, 837, 290, 262, 2415, 1718, 691, 1936, 8059, 355, 6074, 284, 39252, 285, 560, 355, 607, 25920, 764, 10148, 15506, 5770, 4684, 673, 705, 297, 1682, 4545, 262, 1200, 1223, 523, 356, 24486, 299, 470, 766, 285, 560, 1043, 757, 764, 10148, 11498, 525, 590, 19036, 262, 3024, 1660, 656, 511, 1402, 573, 499, 313, 290, 3181, 340, 284, 262, 3084, 764, 15506, 345, 2128, 28858, 837, 3956, 764, 10148, 40078, 3804, 257, 1021, 625, 465, 4772, 764, 15506, 20927, 502, 764, 948, 6988, 1042, 318, 257, 7818, 7927, 764, 72, 2236, 1949, 284, 3376, 616, 14733, 764, 10148, 11498, 525, 590, 3332, 290, 24595, 4983, 607, 3956, 837, 4953, 764, 18927, 517, 621, 607, 2739, 12, 3847, 8855, 373, 41656, 683, 764, 265, 938, 339, 531, 837, 7559, 285, 81, 13, 35901, 8672, 14590, 1312, 15063, 616, 14678, 40556, 764, 10148, 43395, 13, 35901, 373, 511, 17335, 764, 11498, 525, 590, 24487, 837, 607, 1021, 319, 262, 573, 499, 313, 764, 15506, 644, 750, 339, 910, 5633, 10148, 15506, 339, 705, 297, 1577, 514, 691, 1194, 734, 2745, 837, 290, 788, 339, 705, 297, 423, 262, 1043, 1359, 1363, 30522, 46346, 764, 10148, 15506, 13674, 5770, 764, 10148, 11498, 525, 590, 18484, 379, 262, 1310, 3704, 286, 12023, 319, 607, 7480, 764, 270, 373, 4731, 88, 290, 1327, 290, 422, 281, 18611, 636, 286, 262, 9875, 837, 475, 673, 705, 67, 587, 2045, 2651, 284, 340, 764, 2197, 607, 20788, 373, 6451, 3750, 764, 1169, 1043, 1359, 1363, 705, 82, 5602, 373, 287, 610, 260, 945, 12, 9930, 550, 299, 470, 587, 1498, 284, 1414, 262, 1336, 5602, 938, 1227, 290, 2147, 379, 477, 428, 1227, 764, 28998, 673, 815, 299, 470, 423, 5839, 262, 2511, 5614, 837, 4124, 590, 12548, 2146, 577, 306, 764, 4360, 262, 1751, 550, 299, 470, 550, 1997, 475, 32051, 290, 8509, 329, 262, 938, 1285, 764, 15506, 611, 691, 15967, 308, 346, 11635, 550, 12086, 514, 287, 465, 481, 837, 10148, 673, 38023, 1522, 764, 82, 343, 336, 272, 1636, 308, 346 ]

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

[ 76, 5762, 8701, 34568, 10012, 5145, 72, 804, 379, 262, 6253, 764, 258, 705, 82, 287, 257, 7586, 16334, 68, 15224, 351, 883, 22662, 21226, 290, 3621, 1017, 4595, 290, 10012, 764, 10919, 318, 14509, 5762, 5633, 64, 1735, 16086, 10069, 3621, 21029, 290, 257, 890, 14368, 1079, 4936, 276, 510, 257, 10147, 351, 3424, 10012, 764, 11043, 77, 683, 5145, 15506, 34515, 75, 837, 3387, 20927, 502, 329, 1016, 546, 1243, 428, 835, 837, 475, 1312, 1965, 14509, 407, 284, 1560, 345, 546, 428, 12557, 837, 10148, 262, 1611, 6253, 1139, 764, 15506, 1312, 466, 299, 470, 1833, 764, 10919, 1611, 286, 6253, 389, 345, 5633, 10148, 5661, 1838, 645, 2565, 764, 15506, 1312, 423, 284, 1844, 257, 3795, 5418, 329, 670, 837, 10148, 14509, 1139, 764, 15506, 8788, 837, 1312, 4724, 326, 6688, 1521, 1312, 651, 262, 10647, 345, 705, 303, 587, 994, 878, 764, 10148, 15506, 10194, 837, 290, 428, 318, 299, 470, 616, 938, 6246, 764, 10148, 15506, 750, 345, 2222, 502, 994, 319, 4007, 5633, 10148, 15506, 1312, 705, 76, 7926, 764, 361, 1312, 373, 299, 470, 6405, 837, 484, 561, 299, 470, 787, 345, 1282, 764, 10148, 15506, 644, 466, 345, 1612, 5633, 10148, 72, 1265, 764, 72, 705, 76, 6078, 616, 16336, 764, 258, 42608, 502, 5633, 15506, 1312, 705, 76, 510, 329, 257, 12148, 837, 10148, 14509, 1139, 764, 15506, 1521, 750, 299, 470, 345, 1560, 502, 5633, 10148, 271, 299, 470, 326, 1223, 345, 1560, 534, 3656, 5633, 15506, 780, 1312, 750, 299, 470, 760, 611, 1312, 373, 1016, 284, 2453, 340, 764, 392, 1752, 262, 5011, 6266, 257, 3795, 5418, 837, 262, 6253, 468, 284, 1051, 572, 319, 340, 764, 10148, 11534, 379, 262, 6253, 837, 1312, 4114, 382, 683, 284, 1560, 502, 262, 3872, 618, 1312, 1265, 837, 7559, 318, 340, 3487, 329, 17743, 284, 307, 1444, 287, 5633, 10148, 258, 2809, 8789, 287, 465, 5852, 257, 1643, 837, 3073, 379, 14509, 837, 788, 736, 379, 502, 764, 33990, 465, 6891, 866, 837, 1312, 4724, 339, 3066, 284, 651, 866, 284, 1597, 764, 258, 4962, 319, 2205, 4235, 837, 37076, 319, 14475, 2832, 1978, 287, 11443, 764, 25344, 1037, 514, 477, 764, 15506, 3360, 764, 2339, 14509, 531, 837, 611, 339, 373, 299, 470, 6405, 340, 4753, 561, 407, 307, 281, 2071, 764, 732, 423, 284, 787, 1654, 465, 1641, 1204, 460, 15550, 257, 1487, 287, 1693, 5798, 837, 10148, 262, 2205, 1139, 764, 72, 10162, 465, 24521, 764, 72, 1577, 14509, 257, 804, 326, 10497, 257, 13852, 88, 6594, 1363, 764, 15344, 278, 736, 284, 262, 2205, 837, 1312, 1265, 837, 7559, 644, 925, 345, 892, 1312, 2622, 284, 307, 994, 329, 428, 1561, 5633, 10148, 8117, 340, 318, 1058, 326, 10574, 5273, 1022, 6253, 290, 5827, 21990, 32554, 764, 38125, 764, 72, 460, 307, 10574, 837, 1165, 764, 15506, 34515, 75, 837, 1312, 423, 284, 466, 428, 764, 732, 423, 284, 466, 428, 764, 72, 714, 307, 6476, 11461, 611, 1312, 466, 299, 470, 1061, 832, 764, 72, 705, 303, 22893, 329, 407, 3501, 345, 257, 6665, 510, 475, 3387, 837, 670, 351, 502, 764, 10148, 72, 18666, 764, 18217, 594, 460, 670, 355, 890, 355, 1312, 423, 1182, 24621, 764, 15506, 34515, 75, 837, 1312, 705, 76, 257, 1641, 24636, 764, 72, 1730, 351, 4970, 290, 14649, 764, 1169, 5011, 7690, 502, 284, 5412, 511, 3790, 780, 1312, 423, 1998, 4547, 1641, 17262, 764, 12518, 2130, 287, 262, 1641, 6461, 1223, 837, 262, 584, 1866, 1998, 340, 837, 1165, 764, 10148, 43669, 837, 826, 764, 10919, 257, 3440, 286, 7540, 324, 702, 992, 2238, 764, 15506, 618, 3790, 389, 8867, 329, 20699, 837, 262, 5011, 47850, 703, 6840, 484, 3058, 5412, 5503, 1111, 1626, 511, 16179, 290, 511, 1641, 1204, 764, 361, 1312, 766, 597, 10421, 837, 1312, 9161, 284, 1064, 503, 611, 340, 705, 82, 8584, 764, 10148, 10919, 318, 339, 2282, 5633, 19650, 468, 2428, 7219, 351, 5503, 475, 318, 340, 379, 1363, 393, 670, 5633, 258, 561, 299, 470, 423, 3181, 502, 994, 611, 340, 373, 670, 764, 258, 561, 423, 284, 307, 1363, 329, 674, 5503, 284, 2689, 683, 764, 3506, 5633, 15506, 34515, 75, 837, 1312, 705, 76, 407, 1654, 611, 428, 318, 644, 1312, 765, 764, 72, 3252, 326, 1312, 705, 303, 1234, 1165, 881, 319, 345, 355, 340, 318, 764, 18927, 468, 587, 6600, 379, 345, 290, 345, 24486, 299, 470, 1560, 502, 644, 764, 10919, 4325, 618, 1312, 423, 284, 670, 517, 2250, 5633, 10148, 15506, 262, 2485, 319, 262, 442, 1437, 13447, 764, 5832, 761, 284, 1394, 340, 7382, 2073, 764, 10148, 72, 466, 299, 470, 760, 1521, 1312, 531, 326, 764, 72, 1275, 299, 470, 1309, 428, 1844, 16195, 760, 356, 423, 1103, 2761, 764, 361, 356, 460, 4259, 606, 837, 340, 705, 82, 407, 523, 2089, 837, 826, 5633, 15506, 616, 319, 12, 26278, 2485, 5633, 4598, 345, 423, 257, 1917, 351, 502, 852, 257, 2243, 5633, 10148, 15506, 644, 5633, 3919, 5145, 1659, 1781, 407, 764, 72, 705, 303, 1464, 1900, 345, 547, 35140, 12385, 307, 257, 2243, 764, 22850, 561, 345, 892, 326, 5633, 10148, 15506, 780, 345, 705, 303, 1239, 550, 257, 1917, 351, 616, 2485, 878, 764, 10148, 15506, 1312, 466, 299, 470, 764, 270, 705, 82, 262, 4813, 764, 72, 655, 837, 356, 547, 379, 534, 3397, 938, 1755, 290, 1312, 1392, 3612, 326, 356, 1239, 6939, 484, 714, 3151, 340, 783, 764, 10148, 15506, 8788, 837, 345, 705, 260, 826, 764, 732, 460, 4259, 326, 764, 3919, 1263, 1730, 764, 10148, 4360, 340, 318, 257, 1263, 1730, 764, 320, 8720, 5055, 1022, 683, 290, 262, 691, 1517, 339, 705, 82, 1683, 2227, 764, 4919, 466, 1312, 787, 428, 467, 1497, 5633, 15506, 34515, 75, 837, 703, 466, 345, 1254, 546, 262, 2250, 14509, 2499, 783, 5633, 10148, 15506, 1312, 4724, 1312, 466, 299, 470, 764, 72, 705, 76, 973, 284, 340, 764, 10148, 15506, 703, 561, 345, 1254, 611, 339, 550, 284, 670, 517, 2250, 5633, 10148, 1169, 2205, 7893, 837, 351, 262, 17838, 991, 319, 502, 764, 15506, 1312, 466, 299, 470, 760, 764, 72, 705, 76, 973, 284, 683, 407, 852 ]

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

[ 74, 85, 396, 287, 11614, 7475, 13, 198, 198, 51, 1211, 74, 85, 396, 10069, 465, 14227, 379, 262, 26851, 8073, 379, 262, 24233, 338, 1363, 13, 1629, 262, 976, 640, 339, 26459, 465, 12352, 284, 262, 24233, 338, 4957, 11, 2449, 2516, 357, 43227, 12, 43, 786, 18816, 24107, 828, 508, 5389, 351, 683, 1028, 607, 898, 2988, 13, 31940, 74, 85, 396, 290, 2449, 2516, 2666, 290, 262, 2151, 9457, 510, 287, 34672, 263, 434, 13, 5053, 647, 318, 1364, 351, 465, 3656, 11, 508, 318, 12445, 1022, 607, 1842, 329, 607, 5229, 290, 607, 4302, 4562, 13, 1375, 3382, 683, 284, 2453, 5798, 588, 257, 2081, 4302, 13, 16178, 340, 25457, 326, 5053, 647, 338, 7705, 550, 3194, 262, 11614, 7475, 1017, 42454, 31940, 74, 85, 396, 13, 383, 7705, 6797, 257, 24250, 290, 8404, 284, 4589, 7341, 13, 198, 198, 19248, 198, 27166, 274, 12981, 532, 13691, 2799, 5053, 647, 11, 275, 1984, 404, 198, 31164, 2395, 40515, 532, 376, 622, 5053, 647, 198, 6850, 406, 24172, 74, 365, 3900, 532, 943, 16921, 31940, 74, 85, 396, 11, 1553, 13, 262, 349, 198, 471, 4372, 64, 943, 710, 3900, 532, 1305, 74, 13, 19853, 268, 198, 31239, 33728, 25577, 824, 268, 532, 1004, 361, 5053, 647, 198, 15397, 12, 43, 786, 18816, 24107, 532, 2449, 2516, 5053, 647, 198, 311, 332, 260, 27667, 532, 20595, 32225, 482, 36686, 198, 2113, 1940, 679, 485, 2441, 268, 532, 27325, 85, 533, 918, 198, 42575, 509, 494, 297, 392, 532, 360, 2002, 14226, 198, 412, 22050, 311, 747, 877, 532, 7793, 494, 65, 1039, 9038, 198, 36386, 346, 367, 73, 1506, 12, 41, 641, 6248, 532, 3661, 11590, 27932, 259, 260, 525, 265, 24172, 918, 198, 5053, 469, 11985, 3876, 532, 3564, 28764, 1134, 415, 268, 198, 13071, 15062, 2044, 261, 12, 32, 321, 313, 532, 2441, 268, 11, 275, 1984, 404, 198, 8124, 18669, 1134, 32500, 22877, 532, 24158, 198, 6184, 246, 88, 50172, 6184, 246, 88, 268, 198, 198, 19927, 198, 198, 41506, 6117, 198, 198, 45403, 7328, 198, 45403, 10512, 7328, 198, 21991, 20684, 7328, 198, 21991, 20684, 12, 16129, 7328, 198, 21991, 20684, 2042, 12, 392, 12, 11186, 7328, 198, 11928, 907, 7924, 416, 943, 710, 3661, 280, 268, 198, 21991, 20684, 7328, 1912, 319, 5341, 198, 21991, 20684, 10512, 7328, 464, 5338, 10010, 9336, 373, 257, 4315, 9336, 326, 5091, 319, 3426, 513, 11, 13521, 11, 618, 3517, 3881, 4097, 383, 5338, 6157, 379, 5866, 8534, 40846, 357, 2197, 1900, 355, 18518, 5018, 3337, 8, 287, 16137, 11, 6835, 11, 1578, 1829, 11, 290, 257, 10484, 286, 10010, 12, 31006, 2354, 262, 40846, 338, 5726, 8215, 8724, 287, 262, 7040, 286, 1367, 661, 13, 198, 198, 21756, 198, 464, 5338, 547, 287, 262, 15925, 286, 262, 1578, 1829, 1232, 286, 511, 13521, 995, 4205, 11, 543, 2540, 287, 2693, 351, 257, 2472, 286, 3598, 9667, 6626, 1022, 262, 13241, 15752, 287, 6251, 18452, 11, 968, 8221, 290, 14909, 9276, 11652, 287, 968, 1971, 2254, 13, 383, 4205, 373, 511, 717, 1708, 262, 15524, 1918, 286, 34269, 14926, 6869, 290, 511, 717, 284, 3895, 1966, 10452, 48463, 34269, 7148, 1681, 5437, 355, 6869, 338, 1743, 9014, 13, 383, 4097, 788, 1718, 617, 640, 572, 290, 561, 15294, 262, 4205, 319, 3389, 1542, 379, 262, 30625, 1505, 286, 262, 8488, 47237, 10857, 13, 383, 16137, 10010, 373, 262, 2368, 905, 2826, 287, 428, 6903, 286, 262, 4205, 11, 706, 257, 10010, 262, 1755, 878, 379, 262, 12767, 31593, 10937, 13, 198, 198, 464, 10010, 373, 257, 3677, 448, 11, 351, 1248, 11, 28978, 8587, 2702, 13, 198, 198, 22093, 286, 2995, 198, 198, 8061, 547, 6198, 1297, 832, 257, 5243, 4429, 326, 3611, 44025, 7846, 16392, 561, 307, 6848, 379, 513, 25, 405, 1849, 79, 13, 76, 13, 290, 4361, 257, 34282, 4315, 7042, 416, 642, 25, 405, 1849, 79, 13, 76, 13, 4900, 477, 262, 8215, 547, 2938, 284, 307, 4721, 11640, 11, 691, 257, 5166, 286, 8215, 379, 262, 1290, 826, 286, 262, 1388, 10384, 547, 3443, 4721, 13, 1081, 10010, 467, 364, 5982, 262, 10308, 832, 777, 734, 1280, 8215, 11, 883, 4953, 287, 2166, 286, 477, 286, 262, 584, 8215, 2540, 7796, 2651, 757, 13, 198, 198, 3260, 257, 1790, 2278, 286, 4953, 290, 788, 21500, 319, 262, 8215, 290, 262, 5405, 1306, 284, 262, 8215, 11, 262, 4315, 9672, 326, 4844, 286, 262, 5637, 8215, 561, 307, 4721, 13, 1629, 546, 767, 25, 1314, 1849, 79, 13, 76, 1539, 262, 3074, 2540, 284, 38302, 13, 7326, 677, 889, 3136, 5220, 326, 10010, 31006, 714, 3285, 2035, 257, 845, 2739, 2128, 9122, 393, 383, 5338, 338, 20648, 1773, 831, 544, 3807, 11, 287, 32267, 286, 281, 4756, 719, 13, 15467, 835, 11, 262, 4315, 9672, 326, 383, 5338, 547, 319, 2961, 621, 7530, 13, 198, 198, 2953, 326, 966, 11, 262, 2104, 4315, 36061, 290, 7121, 3812, 262, 734, 8215, 543, 550, 587, 4721, 13, 770, 4073, 867, 661, 284, 651, 29957, 10137, 981, 617, 6989, 517, 2726, 6821, 13, 37339, 661, 547, 5906, 284, 6654, 262, 15715, 4315, 7796, 3812, 606, 290, 3724, 416, 355, 6883, 87, 3920, 13, 22381, 12, 19412, 584, 661, 2098, 6821, 13, 198, 198, 13543, 2828, 13030, 5338, 4706, 3941, 4424, 31795, 1636, 284, 14241, 262, 10010, 11, 475, 339, 9431, 683, 284, 1249, 262, 905, 284, 2555, 284, 3368, 2252, 13619, 13, 383, 10010, 1816, 319, 355, 6027, 11, 351, 262, 4097, 1866, 407, 1297, 286, 262, 13574, 1566, 706, 511, 2854, 13, 13212, 1568, 11, 5338, 32705, 17542, 8329, 7091, 358, 12433, 465, 7666, 706, 262, 905, 26, 366, 40, 1816, 832, 734, 21164, 13, 1881, 373, 11, 286, 1781, 11, 12465, 9247, 290, 2328, 13, 887, 262, 584, 373, 8082, 8993, 326, 356, 550, 587, 9489, 981, 428, 373, 1016, 319, 526, 198, 198, 464, 1708, 1755, 11, 257, 16452, 10618, 319, 262, 13574, 18530, 319, 262, 11133, 31867, 3000, 351, 15819, 31683, 74, 578, 17247, 3685, 379, 3881, 28565, 13, 1629, 262, 5338, 338, 1306, 10010, 287, 14905, 319, 3426, 604, 11, 1085, 14015, 13637, 360, 2501, 4364, 1297, 262, 4315, 25, 366, 1135, 2626, 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 ]

[ 764, 258, 635, 25760, 588, 262, 2354, 1058, 8701, 837, 290, 20161, 837, 290, 5527, 2042, 13647, 764, 258, 705, 82, 546, 284, 1210, 262, 36842, 764, 15506, 4043, 5145, 10148, 258, 4962, 1088, 6364, 837, 3805, 262, 25615, 287, 616, 3809, 764, 15506, 644, 611, 612, 705, 82, 2130, 287, 612, 5633, 10148, 258, 1036, 1040, 837, 393, 3863, 340, 705, 82, 257, 18288, 558, 764, 15506, 3863, 484, 460, 1560, 514, 644, 262, 5968, 318, 5836, 2644, 10148, 788, 356, 389, 2641, 764, 732, 1302, 2296, 3579, 329, 257, 5664, 837, 2045, 1088, 764, 72, 269, 789, 2157, 3313, 292, 588, 257, 266, 11011, 764, 270, 705, 82, 407, 4692, 475, 1312, 705, 76, 427, 35598, 764, 37814, 318, 4334, 290, 8036, 12, 1169, 13091, 837, 262, 1633, 837, 616, 1492, 6131, 837, 543, 28087, 572, 616, 8163, 588, 2636, 3463, 764, 18217, 292, 6100, 2651, 764, 72, 5552, 4291, 262, 736, 286, 465, 10147, 355, 356, 23967, 832, 262, 277, 35301, 290, 656, 262, 1641, 2119, 764, 732, 1445, 422, 2119, 284, 2119, 837, 12225, 284, 10716, 262, 5205, 319, 262, 7714, 764, 11545, 16755, 837, 4252, 12, 41304, 276, 3397, 351, 511, 5101, 1088, 734, 16755, 837, 3223, 12, 29972, 6510, 837, 262, 9151, 287, 262, 4469, 764, 15506, 345, 423, 257, 1310, 3956, 837, 10148, 1312, 910, 764, 15506, 750, 345, 760, 345, 423, 257, 1310, 3956, 5633, 10148, 258, 29959, 465, 1182, 837, 645, 764, 1169, 16755, 287, 262, 5205, 4329, 517, 18549, 355, 3313, 292, 290, 465, 9927, 12, 1326, 3956, 651, 4697, 764, 8117, 318, 6088, 286, 32877, 290, 47241, 837, 5205, 286, 3397, 508, 389, 2111, 1165, 1327, 284, 307, 37999, 355, 484, 2834, 15175, 12, 21754, 1068, 6510, 3812, 606, 764, 732, 1445, 284, 262, 38529, 2644, 262, 32601, 764, 732, 2298, 510, 3835, 837, 1100, 262, 14722, 319, 7586, 15077, 14096, 356, 1064, 287, 9007, 43064, 764, 14363, 2802, 7622, 16577, 12734, 477, 625, 262, 2156, 2162, 12070, 656, 262, 3835, 319, 607, 1755, 1481, 837, 287, 607, 16029, 33451, 837, 290, 16566, 510, 319, 262, 20726, 287, 511, 14043, 764, 72, 3638, 1123, 530, 837, 48508, 511, 3891, 739, 616, 8033, 764, 72, 3505, 477, 262, 3891, 286, 262, 12734, 764, 1640, 617, 1738, 837, 428, 1838, 502, 308, 24082, 764, 18217, 292, 9911, 1790, 618, 339, 11114, 656, 465, 3397, 705, 12436, 290, 7228, 502, 17157, 625, 14376, 764, 15506, 1312, 705, 76, 7926, 837, 10148, 1312, 910, 13, 7559, 72, 550, 257, 2589, 764, 10148, 15506, 644, 1611, 286, 2589, 5633, 10148, 15506, 257, 2589, 810, 1312, 6939, 326, 1312, 705, 303, 11564, 2279, 287, 262, 995, 546, 3589, 837, 475, 1312, 760, 644, 257, 2537, 330, 9304, 318, 764, 10148, 258, 34833, 764, 15506, 10194, 764, 10148, 258, 3073, 866, 379, 465, 2832, 837, 1126, 1386, 14583, 319, 465, 22645, 764, 15506, 466, 345, 892, 356, 815, 1560, 2130, 5633, 2188, 284, 257, 4436, 837, 3863, 5633, 10148, 15506, 466, 345, 892, 484, 705, 67, 1975, 514, 5633, 10148, 72, 1265, 764, 732, 24170, 379, 1123, 584, 788, 764, 392, 1312, 1745, 736, 262, 14960, 1752, 757, 284, 1265, 611, 1312, 705, 76, 852, 778, 14076, 764, 5661, 318, 299, 470, 257, 33401, 764, 270, 705, 82, 1165, 1103, 764, 732, 1445, 284, 465, 2988, 705, 82, 2050, 1306, 837, 629, 21823, 625, 9473, 290, 2045, 287, 3197, 364, 764, 8117, 318, 2147, 284, 1560, 514, 1521, 356, 389, 588, 428, 837, 2147, 503, 286, 262, 8850, 764, 72, 1394, 257, 1969, 2342, 319, 683, 422, 262, 5228, 286, 616, 4151, 764, 361, 428, 318, 257, 33401, 837, 339, 705, 82, 257, 845, 922, 8674, 764, 25991, 428, 318, 281, 6306, 837, 1312, 892, 764, 72, 705, 76, 636, 286, 617, 10590, 837, 1230, 6306, 290, 1312, 705, 76, 1016, 284, 7765, 510, 287, 257, 2248, 764, 18217, 292, 16860, 502, 1165, 764, 72, 766, 465, 2951, 35970, 278, 625, 502, 837, 11263, 2644, 24171, 764, 732, 466, 299, 470, 2740, 881, 764, 3137, 837, 804, 379, 428, 764, 273, 837, 466, 345, 892, 428, 318, 1223, 5633, 732, 389, 18981, 290, 612, 389, 1178, 2456, 1022, 514, 764, 18217, 292, 705, 82, 2119, 318, 938, 764, 258, 32170, 2052, 616, 1021, 355, 356, 3802, 290, 1312, 1309, 683, 780, 1312, 705, 76, 3599, 284, 1254, 1657, 12, 15353, 757, 764, 1169, 717, 1517, 1312, 766, 318, 257, 4590, 286, 514, 319, 465, 6915, 764, 72, 716, 5762, 257, 16569, 12, 64, 1165, 12, 19509, 443, 15478, 3601, 9732, 84, 290, 2042, 18304, 12098, 326, 4104, 15361, 3875, 2157, 502, 764, 1820, 2951, 389, 16566, 351, 6546, 837, 31133, 88, 40999, 764, 18217, 292, 318, 12049, 287, 477, 2330, 837, 351, 2330, 18304, 12098, 764, 258, 3073, 22665, 764, 11274, 3691, 13, 6181, 837, 1312, 892, 764, 271, 326, 262, 3297, 286, 1204, 983, 356, 2826, 5633, 258, 48703, 379, 502, 290, 12073, 465, 26928, 764, 15506, 3595, 16569, 3572, 837, 10148, 1312, 32545, 764, 258, 23217, 257, 8212, 290, 788, 356, 1445, 284, 6697, 5389, 286, 262, 2119, 764, 72, 10303, 616, 2951, 284, 7714, 810, 612, 389, 23665, 5205, 286, 661, 1058, 257, 10463, 582, 1017, 30075, 1028, 257, 3355, 837, 4769, 257, 18447, 1088, 2241, 2162, 257, 2415, 5586, 319, 257, 7624, 837, 13774, 656, 607, 2832, 764, 64, 21486, 13764, 837, 607, 1021, 537, 13322, 1088, 607, 898, 7393, 355, 673, 3073, 656, 262, 4676, 10317, 351, 6565, 2951, 764, 1169, 5205, 389, 34813, 764, 9930, 787, 502, 765, 284, 1210, 1497, 837, 1254, 22461, 764, 72, 466, 299, 470, 1833, 1521, 2687, 561, 765, 284, 1011, 257, 4590, 286, 884, 34813, 306, 6507, 1243, 837, 1239, 2000, 8181, 606, 319, 511, 7714, 284, 804, 379, 10908, 764, 392, 788, 1312, 1210, 290, 766, 262, 5789, 4676, 49264, 319, 262, 6915, 764, 270, 705, 82, 287, 257, 1295, 286, 7522, 837, 5586, 20156, 257, 14540, 286, 40551, 16223, 3835, 764, 72, 804, 625, 284, 810, 3313, 292, 318, 635, 11065, 262, 5205, 764, 272, 6802, 764, 271, 428, 465, 670, 5633, 271, 339, 2111, 284, 7564, 340, 5633, 3919, 966, 287, 4737, 764, 72, 1445 ]

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

[ 9387, 416, 262, 6342, 12, 3106, 1664, 14356, 3535, 23535, 13, 198, 18712, 6902, 15048, 26376, 379, 262, 1105, 400, 5079, 347, 2390, 40229, 4037, 13741, 11117, 13, 632, 318, 3058, 31701, 319, 10078, 1453, 29846, 13, 198, 464, 15640, 286, 14332, 5116, 1869, 0, 318, 257, 2168, 326, 21001, 2107, 2223, 290, 11034, 13, 632, 373, 2727, 416, 15300, 328, 290, 45362, 31468, 710, 11, 290, 340, 44119, 287, 2211, 13, 198, 22253, 3701, 14382, 2810, 3594, 10839, 290, 14750, 329, 262, 717, 1115, 7028, 286, 3115, 17330, 11, 257, 6983, 2168, 546, 32808, 13, 198, 464, 30012, 20551, 318, 257, 2168, 286, 530, 12, 11374, 3923, 546, 734, 3435, 508, 4620, 5358, 6323, 11, 1297, 1231, 2456, 13, 198, 47, 13, 2677, 21867, 1359, 318, 257, 763, 12, 25493, 351, 3999, 1664, 471, 35465, 23535, 13, 383, 2168, 44119, 319, 8519, 20000, 319, 3389, 767, 11, 1584, 13, 198, 464, 8532, 1222, 30377, 5438, 318, 281, 15108, 2168, 2727, 416, 8518, 15300, 328, 290, 763, 12, 32783, 351, 2297, 42, 1662, 357, 64, 6466, 13189, 1022, 399, 417, 33175, 290, 23455, 737, 198, 9356, 4687, 318, 281, 7865, 3999, 12, 16010, 12, 7437, 15108, 10997, 2168, 11, 2727, 290, 3194, 416, 15300, 328, 290, 15890, 22593, 13, 632, 318, 852, 763, 12, 33082, 416, 7703, 3701, 14382, 11, 11733, 1802, 11, 290, 8751, 707, 688, 13, 9356, 4687, 318, 3058, 287, 262, 2478, 1429, 1863, 351, 584, 4493, 588, 11138, 8329, 37416, 11, 10934, 340, 360, 11996, 11, 4995, 338, 23181, 4270, 690, 11, 39108, 17746, 14213, 11, 290, 26153, 338, 16734, 13, 198, 198, 16438, 7328, 198, 464, 3862, 12, 7975, 9369, 220, 318, 257, 1790, 2646, 3194, 290, 7924, 416, 15300, 328, 287, 6244, 13, 383, 1790, 373, 18976, 287, 3687, 14812, 11, 13458, 290, 3402, 379, 262, 5816, 10841, 31047, 13741, 11117, 13, 198, 14993, 3281, 262, 22777, 23097, 318, 257, 4947, 286, 734, 1790, 7328, 546, 257, 915, 18343, 12967, 508, 4072, 5558, 319, 17545, 13, 383, 22078, 11, 543, 7867, 262, 12902, 43578, 0, 905, 11, 547, 18530, 319, 38398, 1098, 261, 287, 5816, 13, 198, 464, 5302, 347, 13, 1222, 402, 13, 371, 2001, 5438, 0, 373, 257, 5581, 8022, 329, 6186, 13799, 326, 15300, 328, 2630, 290, 7924, 287, 1946, 13, 198, 198, 6395, 670, 198, 198, 34, 590, 3353, 4493, 198, 464, 12902, 43578, 0, 4471, 366, 41428, 45983, 2238, 2474, 373, 5292, 355, 257, 47758, 8022, 329, 257, 7906, 12, 2364, 2168, 11, 1247, 1586, 319, 262, 2095, 26980, 12, 44, 278, 290, 607, 3956, 35105, 13, 15300, 328, 21730, 262, 7906, 12, 2364, 284, 38398, 1098, 261, 706, 262, 2457, 1622, 286, 12902, 43578, 0, 12908, 11, 475, 38398, 1098, 261, 750, 407, 2298, 510, 262, 7906, 12, 2364, 393, 597, 3224, 8640, 286, 262, 2168, 13, 198, 198, 818, 3648, 11, 311, 34038, 26701, 9657, 7703, 3701, 14382, 284, 366, 18230, 344, 257, 41169, 329, 257, 2168, 287, 2478, 553, 475, 262, 1628, 750, 407, 2587, 1096, 13, 198, 198, 464, 7703, 4401, 5693, 198, 818, 3717, 11, 7703, 3701, 14382, 25315, 2727, 257, 1729, 12, 9183, 10219, 1444, 366, 464, 7703, 4401, 5693, 526, 383, 5693, 338, 717, 1628, 373, 262, 15108, 2168, 383, 30012, 20551, 329, 8047, 7504, 13, 198, 198, 464, 7703, 3701, 14382, 42151, 198, 818, 262, 3931, 286, 3717, 7703, 3701, 14382, 25315, 5611, 262, 7703, 3701, 14382, 42151, 13, 40811, 35595, 1008, 4721, 262, 7072, 287, 2901, 3717, 13, 2332, 2854, 373, 7025, 2107, 319, 21795, 37643, 13, 46936, 423, 3017, 5966, 1446, 444, 89, 4914, 11, 4460, 50133, 539, 11, 290, 1778, 17027, 15325, 1122, 13, 198, 198, 464, 7703, 3701, 14382, 8581, 198, 22253, 3701, 14382, 8581, 4394, 257, 1115, 12, 820, 20243, 5403, 257, 614, 379, 262, 1664, 338, 2520, 3530, 1001, 499, 419, 20747, 13, 220, 26122, 2193, 262, 33099, 286, 4441, 257, 38725, 2168, 1390, 21088, 11, 3597, 11, 2095, 1486, 11, 21024, 290, 9194, 2107, 2223, 290, 15108, 2523, 13, 554, 3717, 11, 262, 8581, 4966, 257, 530, 12, 820, 3597, 20243, 351, 14919, 6502, 13, 7703, 3701, 14382, 468, 635, 12007, 25982, 287, 18286, 11, 4492, 11, 290, 15238, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 43468, 430, 12379, 402, 6557, 303, 64, 318, 257, 937, 30764, 8598, 287, 309, 2926, 43120, 9115, 11, 15338, 390, 42799, 11, 7595, 13, 3082, 1335, 286, 41013, 290, 308, 710, 747, 11, 663, 22910, 318, 837, 1642, 340, 530, 286, 262, 4511, 12269, 287, 262, 995, 326, 5645, 3264, 287, 262, 9151, 13, 220, 40076, 319, 262, 8598, 547, 4721, 510, 416, 262, 1957, 16035, 3265, 287, 262, 1903, 21431, 82, 26, 1909, 11, 262, 2524, 318, 739, 262, 3662, 286, 262, 309, 2926, 43120, 2351, 3250, 13, 198, 198, 464, 8598, 338, 1438, 23677, 355, 4631, 286, 262, 309, 2840, 603, 11, 290, 373, 1813, 284, 340, 1141, 262, 22817, 286, 8599, 14345, 1845, 390, 20607, 418, 11, 9258, 287, 1315, 486, 11, 290, 287, 543, 262, 15338, 390, 42799, 15489, 357, 40838, 42305, 397, 3301, 4696, 11, 475, 706, 543, 262, 1748, 373, 3706, 8, 635, 2722, 663, 1438, 13, 383, 8598, 11, 530, 286, 262, 717, 287, 7595, 284, 307, 3706, 287, 21813, 11, 373, 3706, 416, 262, 22817, 338, 29996, 11, 508, 3688, 663, 41834, 284, 326, 286, 262, 5485, 286, 257, 21246, 603, 286, 257, 1097, 39638, 2402, 42110, 340, 319, 3269, 352, 11, 6640, 17, 13, 1320, 1438, 287, 1210, 1625, 284, 307, 1813, 284, 262, 402, 6557, 303, 64, 1989, 286, 262, 1748, 286, 15338, 390, 42799, 13, 198, 198, 40341, 498, 6193, 278, 319, 530, 1735, 286, 262, 3881, 468, 2727, 644, 318, 3417, 355, 257, 22152, 1143, 1692, 1986, 13, 2940, 654, 319, 1194, 1986, 286, 262, 3881, 423, 587, 3417, 355, 281, 40189, 13, 2269, 9251, 290, 5519, 389, 3016, 287, 4381, 326, 262, 366, 1040, 6820, 1, 318, 262, 1255, 286, 29337, 290, 326, 262, 366, 2550, 1, 318, 257, 1720, 286, 279, 533, 312, 22703, 13, 11399, 11, 262, 11529, 286, 38967, 290, 9123, 287, 7595, 318, 326, 262, 8598, 815, 407, 307, 9569, 355, 281, 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 ]

[ 1090, 1359, 607, 40551, 11914, 764, 72, 765, 284, 467, 503, 319, 257, 3128, 351, 262, 16526, 11311, 1714, 5770, 491, 4103, 473, 4520, 764, 1084, 64, 550, 48255, 307, 13227, 290, 3393, 2627, 31997, 416, 607, 2456, 764, 72, 2993, 340, 5145, 72, 2993, 673, 373, 510, 284, 1223, 5145, 72, 2993, 673, 42547, 3551, 326, 4130, 1281, 503, 286, 262, 20437, 286, 607, 2612, 764, 7091, 3382, 284, 2700, 345, 656, 1016, 319, 257, 3128, 351, 607, 837, 491, 4103, 5145, 1084, 64, 531, 355, 673, 32221, 276, 3371, 307, 13227, 290, 607, 3084, 286, 10569, 764, 72, 17666, 2000, 764, 83, 1585, 272, 2952, 987, 35408, 837, 991, 16755, 764, 83, 1585, 504, 2456, 550, 949, 64, 1341, 13494, 284, 257, 36249, 17369, 764, 259, 1109, 72, 561, 307, 21014, 284, 651, 284, 467, 319, 257, 3128, 351, 345, 837, 307, 13227, 764, 1084, 64, 3214, 625, 764, 20627, 40360, 379, 491, 4103, 287, 40642, 972, 764, 5832, 561, 5633, 7091, 2284, 70, 704, 656, 607, 1021, 355, 673, 2952, 13160, 5223, 764, 72, 1612, 837, 286, 1781, 345, 561, 5145, 8524, 4919, 546, 9439, 6672, 5633, 72, 460, 1560, 326, 345, 260, 1016, 284, 307, 1165, 8179, 284, 2666, 534, 6128, 1909, 764, 82, 3733, 922, 764, 83, 1585, 272, 4987, 764, 20627, 2921, 491, 4103, 257, 13678, 804, 788, 764, 270, 373, 10059, 326, 14999, 7891, 257, 3128, 351, 491, 4103, 473, 4520, 523, 3538, 764, 72, 11691, 663, 2081, 644, 484, 910, 546, 345, 532, 345, 1239, 910, 645, 284, 257, 2415, 508, 7893, 345, 503, 764, 83, 1585, 504, 8212, 24215, 4400, 475, 691, 329, 257, 2589, 764, 400, 1381, 826, 72, 17666, 1107, 423, 257, 1738, 284, 910, 645, 764, 16833, 2415, 468, 607, 898, 5198, 837, 607, 898, 8737, 284, 23700, 837, 290, 3748, 8806, 284, 6799, 273, 764, 4360, 3360, 1312, 651, 9670, 290, 257, 8737, 588, 345, 7893, 502, 503, 764, 1350, 535, 292, 25839, 11398, 2945, 290, 673, 25155, 607, 14005, 48026, 837, 543, 4602, 607, 10825, 523, 3538, 764, 82, 32829, 691, 423, 530, 3128, 1978, 837, 826, 5633, 7490, 466, 1365, 621, 326, 764, 72, 460, 6991, 345, 428, 2104, 1285, 764, 5661, 2104, 1285, 1312, 716, 12431, 837, 307, 13227, 38999, 764, 1169, 442, 4668, 265, 959, 3414, 7812, 1576, 326, 2506, 2641, 286, 262, 11311, 6128, 2982, 764, 1169, 1862, 1466, 5586, 351, 307, 13227, 256, 36613, 290, 267, 78, 704, 290, 29042, 704, 351, 14067, 764, 64, 1285, 837, 24926, 5633, 20627, 531, 837, 257, 1278, 600, 287, 607, 28738, 4077, 2951, 764, 400, 1381, 644, 339, 6834, 764, 72, 423, 530, 1285, 284, 787, 491, 4103, 473, 4520, 2121, 329, 502, 392, 1312, 1464, 651, 644, 1312, 765, 764, 359, 4130, 546, 616, 9667, 351, 262, 11311, 1714, 5770, 286, 649, 331, 967, 1748, 290, 262, 6851, 389, 1654, 284, 307, 2208, 2968, 764, 292, 262, 308, 39094, 5182, 900, 353, 837, 307, 13227, 1392, 2279, 329, 1479, 379, 262, 1266, 10808, 837, 46412, 444, 837, 290, 11311, 12437, 287, 262, 1748, 764, 7091, 6027, 284, 1011, 491, 4103, 284, 777, 4113, 290, 787, 683, 6537, 655, 703, 2041, 673, 1107, 373, 764, 1169, 23530, 550, 4138, 286, 2460, 319, 23960, 290, 607, 2443, 550, 4138, 286, 7832, 764, 20627, 373, 14547, 257, 16527, 764, 7091, 2936, 326, 673, 20143, 257, 582, 588, 491, 4103, 473, 4520, 379, 607, 1735, 764, 72, 460, 655, 4286, 683, 319, 616, 3211, 764, 12758, 307, 262, 2818, 837, 44493, 28207, 329, 502, 780, 10818, 523, 287, 764, 8162, 262, 1306, 1110, 379, 3223, 9538, 837, 618, 6672, 5284, 523, 750, 307, 13227, 38999, 764, 83, 1585, 272, 7342, 607, 3802, 262, 6128, 290, 373, 6655, 284, 3465, 326, 607, 920, 32885, 373, 13717, 764, 7091, 373, 5762, 1194, 44493, 16313, 764, 64, 15100, 4171, 698, 1076, 41130, 607, 5485, 306, 23759, 837, 307, 10045, 12581, 3751, 572, 607, 890, 7405, 837, 290, 307, 10045, 1029, 12, 258, 1424, 5668, 262, 804, 764, 20627, 550, 257, 307, 10045, 1021, 21454, 287, 607, 2832, 764, 1640, 22634, 673, 12408, 257, 4077, 16840, 6440, 38987, 351, 12336, 1027, 33173, 764, 83, 1585, 272, 336, 8375, 625, 284, 12589, 607, 379, 262, 3420, 764, 11274, 6672, 837, 307, 13227, 764, 5832, 804, 3621, 764, 8499, 6357, 837, 491, 4103, 764, 20627, 21272, 27793, 355, 673, 3114, 491, 4103, 625, 351, 257, 4688, 4151, 764, 83, 1585, 272, 550, 12049, 510, 329, 465, 3128, 351, 307, 13227, 290, 373, 429, 5762, 465, 6678, 442, 4668, 265, 959, 16313, 837, 475, 257, 30511, 837, 44493, 530, 764, 83, 1585, 272, 373, 5762, 257, 4171, 256, 12, 15600, 837, 281, 1280, 12768, 698, 19178, 837, 307, 10045, 12581, 351, 257, 8290, 1384, 837, 3223, 7586, 11620, 10999, 290, 7586, 6576, 10012, 764, 64, 12768, 36953, 373, 27793, 38425, 1088, 465, 7393, 764, 1169, 8242, 3114, 5789, 837, 48486, 837, 290, 1865, 409, 19289, 257, 9341, 3128, 804, 764, 372, 11914, 665, 10981, 764, 732, 2872, 764, 83, 1585, 272, 39889, 355, 339, 6939, 326, 484, 67, 1111, 3066, 284, 5806, 4171, 20858, 290, 307, 10045, 12581, 764, 72, 11691, 356, 466, 764, 13034, 1158, 290, 8290, 1384, 11620, 28617, 389, 4753, 287, 428, 1622, 764, 4053, 1760, 837, 491, 4103, 764, 20627, 14464, 607, 7546, 764, 83, 1585, 272, 373, 4203, 442, 363, 81, 1389, 1201, 339, 550, 429, 1107, 1760, 340, 319, 4007, 764, 64, 4200, 8580, 379, 262, 17374, 550, 2391, 7151, 428, 16313, 284, 683, 981, 16418, 587, 9735, 329, 3444, 2978, 82, 2151, 6576, 764, 7456, 837, 5176, 5633, 1350, 535, 292, 2951, 6632, 276, 287, 319, 262, 3869, 3091, 491, 4103, 373, 4769, 764, 270, 550, 635, 587, 8165, 351, 257, 2266, 23938, 9563, 764, 271, 326, 329, 1310, 25776, 502, 5633, 993, 837, 3763, 837, 1312, 925, 777, 442, 4668, 689, 2592, 329, 345, 764, 5832, 714, 910, 326, 262, 38987, 345, 547, 5762, 7415, 7867, 606, 764, 83, 1585, 272, 4893, 355, 339, 10158, 607, 262, 3091, 764, 1169, 1489, 4411, 666, 20024, 13946, 38987, 5633, 20627, 11434, 355, 673, 1718, 262, 3091, 837, 3318, 312, 262, 9563, 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 ]

[ 2742, 29191, 198, 198, 8310, 25, 4264, 10366, 390, 7435, 68, 551, 4881, 2, 53, 21872, 390, 8591, 7690, 288, 13, 1983, 2306, 622, 72, 198, 27891, 25, 45, 41903, 5556, 1312, 333, 271, 1, 32, 309, 1984, 316, 317, 309, 11715, 1, 318, 257, 41326, 40005, 1326, 717, 6264, 287, 2253, 287, 262, 2739, 29666, 4289, 13, 632, 373, 973, 355, 262, 4308, 329, 257, 845, 4388, 290, 4047, 11987, 28017, 8296, 416, 7122, 64, 28397, 11, 13160, 416, 28397, 287, 17856, 351, 978, 45498, 357, 36760, 1900, 355, 6656, 10009, 737, 220, 198, 1026, 468, 257, 371, 2778, 36111, 10940, 12901, 1271, 286, 1511, 20356, 13, 198, 198, 48485, 15844, 198, 464, 40005, 1326, 373, 717, 4367, 287, 262, 1578, 1829, 287, 1248, 3720, 355, 257, 1751, 338, 40005, 2229, 983, 13, 632, 373, 23568, 981, 1751, 39480, 287, 257, 9197, 13, 1881, 286, 262, 1271, 4966, 319, 262, 2354, 286, 262, 9197, 290, 5710, 257, 1021, 6122, 17351, 13, 383, 16936, 1200, 561, 788, 2298, 340, 510, 290, 15505, 262, 3102, 2848, 13, 1002, 4978, 11, 262, 3102, 2848, 2035, 373, 27946, 11, 5399, 262, 9197, 11, 393, 550, 284, 1560, 262, 1438, 286, 511, 6029, 11499, 13, 1052, 1903, 4367, 2196, 550, 262, 15844, 25, 198, 198, 32, 12, 83, 1984, 316, 257, 12, 83, 11715, 198, 32, 4077, 290, 7872, 7988, 198, 40, 2630, 257, 3850, 284, 616, 1545, 198, 1870, 319, 262, 835, 314, 5710, 340, 11, 198, 40, 5710, 340, 11, 314, 5710, 340, 11, 198, 1870, 319, 262, 835, 314, 5710, 340, 13, 198, 32, 1310, 2933, 339, 6497, 340, 510, 198, 1870, 1234, 340, 287, 465, 10000, 13, 198, 198, 818, 617, 17670, 11, 262, 1218, 1627, 318, 366, 40, 2626, 616, 7872, 7988, 526, 198, 818, 584, 17670, 11, 262, 938, 1627, 318, 366, 32, 1310, 2576, 673, 6497, 340, 510, 290, 1234, 340, 287, 607, 10000, 526, 198, 198, 818, 29666, 4289, 4492, 11, 262, 40005, 1326, 973, 287, 262, 976, 983, 550, 6454, 1180, 475, 27450, 3519, 2456, 25, 198, 198, 40, 2626, 616, 43743, 11, 938, 1755, 11, 198, 1870, 262, 1755, 878, 11, 198, 1870, 611, 314, 466, 428, 1755, 11, 198, 40, 1239, 481, 645, 517, 13, 198, 40, 1908, 257, 3850, 284, 616, 1842, 11, 198, 40, 5281, 1660, 287, 616, 29144, 11, 198, 1870, 416, 262, 835, 314, 5710, 340, 11, 314, 750, 523, 11, 314, 750, 523, 25, 198, 40, 550, 257, 1310, 3290, 326, 531, 9563, 12, 42773, 0, 198, 40, 550, 257, 1310, 3797, 326, 531, 502, 322, 12, 1326, 322, 0, 198, 2484, 272, 470, 13197, 345, 11, 427, 272, 470, 13197, 345, 11, 198, 2484, 439, 13197, 345, 13, 198, 40, 3102, 457, 340, 11, 314, 3102, 457, 340, 11, 198, 1870, 416, 262, 835, 314, 2626, 340, 13, 198, 198, 43, 14279, 416, 7122, 64, 28397, 198, 198, 36, 8466, 28397, 11, 287, 17856, 351, 978, 45498, 357, 36760, 1900, 355, 6656, 10009, 828, 7083, 290, 47399, 1348, 262, 40005, 1326, 656, 257, 21274, 3704, 326, 373, 607, 19304, 2277, 351, 262, 31939, 25130, 34017, 287, 28017, 13, 632, 468, 1201, 1716, 257, 21274, 3210, 13, 383, 15844, 3421, 262, 3124, 286, 262, 7988, 284, 7586, 290, 7872, 13, 554, 7122, 64, 338, 2196, 257, 1310, 2576, 11103, 510, 262, 3465, 290, 788, 2753, 262, 7988, 706, 340, 318, 1337, 8613, 1364, 319, 262, 2323, 13, 198, 32, 1061, 12, 929, 3496, 3194, 416, 28397, 290, 25130, 9080, 366, 40, 4062, 2011, 12550, 347, 11715, 1, 357, 1129, 2548, 8, 373, 1342, 4388, 13, 198, 198, 818, 2968, 3968, 198, 198, 1722, 257, 8296, 198, 464, 3496, 373, 257, 1688, 2277, 286, 262, 366, 3866, 12, 40926, 1, 6980, 11, 8978, 1271, 530, 287, 36229, 338, 9629, 2647, 290, 13266, 9842, 1112, 10005, 357, 73, 4649, 3524, 8, 15907, 11, 635, 1271, 352, 319, 3406, 7286, 33197, 13, 198, 198, 33, 278, 33098, 3017, 262, 3496, 287, 257, 1117, 1636, 319, 465, 5062, 1550, 262, 14628, 12075, 357, 1129, 5237, 737, 198, 198, 43, 1127, 422, 262, 3496, 423, 587, 4750, 416, 42786, 494, 7760, 47451, 11, 9005, 11, 13139, 1869, 13139, 347, 2304, 5013, 11, 402, 962, 38031, 399, 12, 40, 12, 47, 11, 45797, 380, 12, 46898, 11, 12089, 2550, 11, 49209, 3998, 11, 49428, 11, 42345, 11, 290, 3248, 623, 1140, 13, 198, 198, 45, 397, 4861, 750, 257, 1011, 12, 2364, 286, 262, 3496, 329, 663, 512, 1923, 287, 262, 8069, 82, 11, 351, 262, 15844, 366, 32, 833, 2304, 5013, 11, 317, 833, 2304, 5013, 11, 347, 4335, 691, 416, 36099, 4861, 526, 198, 198, 818, 6918, 198, 26628, 306, 8442, 664, 2737, 257, 38624, 22789, 286, 262, 357, 13159, 12, 14664, 605, 8, 40005, 1326, 287, 262, 7683, 22025, 519, 274, 1790, 775, 16168, 3954, 337, 13513, 357, 1129, 2670, 737, 198, 198, 464, 2647, 329, 262, 3496, 373, 973, 287, 262, 4756, 3715, 286, 1757, 8092, 338, 16236, 2646, 383, 402, 2416, 274, 286, 28258, 284, 1037, 4474, 262, 11811, 640, 5739, 286, 262, 2995, 286, 262, 2646, 13, 198, 198, 36, 8466, 28397, 6157, 262, 3496, 287, 262, 16988, 290, 6446, 11109, 2646, 21640, 705, 10161, 48706, 357, 1129, 3682, 737, 198, 198, 32, 40570, 286, 262, 3496, 373, 635, 6157, 287, 262, 3362, 5658, 9918, 3807, 383, 5599, 357, 6999, 737, 198, 198, 16130, 198, 198, 17688, 286, 3496, 6439, 198, 36, 8466, 28397, 7259, 198, 50, 28079, 3194, 416, 7122, 64, 28397, 198, 1129, 2548, 25287, 198, 50, 14146, 1830, 198, 38, 859, 1820, 4789, 286, 18864, 11289, 20352, 198, 7437, 41326, 9529, 22009, 2025, 9084, 364, 6, 47425, 318, 262, 6833, 1277, 1005, 10613, 329, 35973, 13027, 18794, 942, 13, 220, 220, 34441, 706, 663, 33475, 11, 49292, 412, 13, 9084, 364, 11, 428, 424, 1050, 16665, 469, 47425, 10874, 286, 257, 1334, 11, 257, 5698, 7480, 11, 257, 1005, 298, 425, 3211, 290, 257, 48135, 3211, 13, 9084, 364, 6, 537, 292, 862, 11, 355, 257, 3896, 11, 1986, 1497, 422, 281, 1225, 298, 6985, 1989, 13, 10358, 484, 1986, 262, 1225, 298, 6985, 1989, 11, 484, 389, 28569 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6943, 286, 262, 2656, 25371, 286, 1004, 404, 727, 547, 21402, 795, 328, 411, 13, 2312, 366, 4685, 3201, 1, 25371, 547, 21374, 422, 262, 4141, 12, 25159, 8372, 3814, 286, 15664, 543, 550, 15734, 587, 636, 286, 31864, 13, 1119, 547, 13338, 284, 1445, 284, 2253, 422, 4736, 1863, 262, 2185, 1904, 5866, 48622, 4881, 11, 884, 355, 23347, 77, 4244, 290, 609, 3541, 11, 706, 15664, 373, 4624, 739, 25310, 3896, 287, 262, 45440, 82, 13, 383, 1956, 290, 4258, 286, 14105, 3418, 373, 2092, 284, 511, 23184, 290, 925, 329, 281, 4577, 6801, 13, 4362, 428, 373, 281, 1280, 27580, 11, 7971, 547, 2672, 284, 1051, 281, 17865, 8851, 18155, 597, 25696, 284, 2677, 1004, 404, 727, 13, 198, 198, 10082, 4867, 198, 3123, 404, 727, 318, 5140, 17280, 4608, 5093, 286, 262, 6835, 5866, 11, 379, 764, 198, 198, 19927, 198, 198, 12193, 18299, 12, 7437, 2106, 198, 3118, 1939, 40132, 5348, 287, 14105, 3418, 11, 10278, 198, 3118, 1939, 40132, 5348, 287, 10278, 7554, 26113, 22408, 263, 357, 6286, 2901, 718, 11, 22717, 8, 318, 281, 1605, 8674, 11, 5243, 2583, 11, 3159, 16002, 290, 1966, 1605, 4346, 6110, 886, 287, 262, 2351, 9957, 4041, 357, 32078, 737, 198, 198, 1544, 2826, 329, 1511, 812, 287, 262, 5134, 11, 287, 26937, 1830, 3599, 287, 16450, 11, 290, 6264, 14436, 3451, 23249, 351, 262, 968, 1971, 12056, 290, 5401, 5652, 16077, 13, 679, 318, 262, 691, 5134, 2137, 284, 4776, 734, 1932, 31638, 287, 530, 983, 13, 198, 198, 14291, 465, 10737, 422, 4346, 11, 22408, 263, 550, 257, 4388, 3451, 355, 257, 2646, 290, 5581, 8674, 11, 14660, 20495, 287, 262, 2168, 9055, 13, 2399, 6001, 286, 220, 290, 48226, 389, 4465, 329, 465, 2223, 9176, 13, 198, 198, 20457, 812, 198, 30847, 22408, 263, 373, 4642, 290, 4376, 287, 8372, 3442, 13, 2399, 3397, 547, 7516, 376, 13, 22408, 263, 290, 13005, 85, 12311, 399, 695, 357, 77, 22161, 11264, 8, 22408, 263, 13, 220, 198, 198, 30847, 2826, 4346, 379, 3854, 358, 1000, 3334, 3961, 287, 3854, 358, 1000, 287, 5401, 5652, 3418, 11, 3442, 13, 198, 198, 38951, 198, 35, 563, 263, 9141, 2574, 7298, 2879, 20000, 5535, 878, 26140, 284, 2986, 9500, 1812, 2059, 357, 50, 5258, 52, 737, 198, 198, 35, 563, 263, 373, 28948, 276, 284, 262, 2574, 7298, 2879, 8108, 5535, 29007, 4789, 3226, 18864, 287, 12122, 355, 257, 17422, 2888, 290, 373, 262, 13548, 5807, 286, 262, 6280, 329, 465, 19322, 2854, 319, 262, 4346, 2214, 13, 22408, 263, 373, 635, 257, 19322, 20000, 5535, 1439, 12, 7437, 13, 198, 198, 7191, 22408, 263, 338, 13430, 290, 4664, 7028, 379, 2986, 9500, 1812, 11, 287, 543, 339, 1309, 4400, 1111, 7028, 11, 262, 7578, 660, 6359, 550, 257, 5929, 1700, 286, 678, 1906, 16, 1906, 16, 13, 1119, 547, 262, 5535, 7458, 2351, 6662, 287, 1111, 7028, 13, 554, 15904, 484, 20633, 1111, 262, 10575, 4332, 290, 1578, 4332, 4037, 9231, 355, 1303, 16, 13, 554, 15963, 2986, 9500, 1812, 373, 7052, 262, 7827, 416, 471, 11901, 290, 2258, 13336, 1812, 2059, 20633, 262, 3486, 3278, 11, 290, 4145, 262, 734, 4266, 4888, 262, 5535, 12, 24095, 1166, 3670, 13, 198, 198, 35, 563, 263, 373, 7052, 262, 11660, 6110, 33157, 319, 262, 1074, 290, 355, 884, 373, 262, 17800, 286, 262, 36719, 367, 13, 16346, 14861, 25640, 13, 198, 198, 3198, 286, 22408, 263, 338, 13107, 373, 8124, 15615, 82, 11, 508, 2826, 17508, 24299, 287, 262, 717, 1440, 7328, 286, 262, 24534, 2168, 13, 554, 15904, 11, 262, 7578, 660, 6359, 3142, 1105, 13, 24, 2173, 257, 983, 319, 3761, 11, 543, 318, 991, 19646, 287, 311, 5258, 52, 2106, 13, 554, 15904, 290, 15963, 11, 262, 7578, 36281, 1057, 3761, 3142, 655, 4019, 13, 16, 290, 1802, 13, 16, 5695, 583, 983, 11, 991, 5544, 290, 8150, 11, 8148, 287, 1524, 1529, 874, 706, 517, 621, 2026, 812, 13, 198, 198, 35, 563, 263, 373, 3706, 284, 262, 7703, 1439, 12, 18165, 1074, 287, 15963, 1201, 379, 262, 640, 262, 1524, 373, 352, 12, 3838, 13, 220, 22408, 263, 2826, 287, 262, 3687, 12, 15045, 30682, 3776, 287, 2986, 6033, 11, 262, 367, 4712, 8693, 287, 43296, 290, 262, 5535, 1439, 12, 8248, 3776, 287, 4842, 810, 262, 4152, 5788, 2826, 262, 995, 8783, 968, 1971, 14728, 13, 198, 198, 818, 12122, 11, 22408, 263, 373, 28948, 276, 656, 262, 2986, 9500, 1812, 2059, 7578, 36281, 4789, 286, 18864, 13, 198, 198, 818, 8309, 11, 22408, 263, 2722, 4152, 4346, 338, 8713, 7522, 287, 852, 7052, 284, 262, 5535, 9957, 4789, 286, 18864, 290, 318, 530, 286, 691, 1115, 311, 5258, 52, 7578, 660, 6359, 287, 262, 44953, 4789, 286, 18864, 13, 1649, 7052, 656, 262, 2986, 9500, 7092, 4789, 286, 18864, 287, 7795, 11, 339, 5399, 10856, 884, 355, 11396, 6484, 11, 6035, 376, 5269, 11, 9935, 7178, 3245, 11, 290, 8832, 402, 27612, 77, 287, 6464, 262, 662, 368, 7233, 9465, 329, 257, 2986, 9500, 16076, 13, 198, 198, 32078, 3451, 198, 35, 563, 263, 373, 15937, 287, 262, 717, 2835, 286, 262, 16450, 5134, 13650, 416, 262, 968, 1971, 12056, 290, 1839, 257, 3599, 1693, 355, 257, 12302, 13, 679, 373, 262, 3599, 826, 6110, 886, 422, 16450, 832, 16382, 13, 679, 2957, 262, 1074, 287, 7880, 23249, 1123, 286, 883, 1115, 7028, 351, 807, 23141, 287, 16450, 11, 1105, 287, 8069, 290, 807, 23141, 287, 16382, 13, 679, 373, 1871, 262, 6110, 2766, 287, 584, 9376, 355, 880, 13, 554, 16450, 11, 339, 48729, 7618, 18034, 357, 2670, 12199, 828, 2237, 8318, 825, 12609, 290, 4137, 734, 277, 25329, 290, 11911, 734, 13, 198, 198, 464, 1306, 1622, 22408, 263, 373, 281, 13527, 284, 262, 1041, 8693, 475, 714, 407, 711, 2233, 284, 257, 44379, 10359, 13, 679, 373, 5498, 12, 15097, 1439, 12, 45, 4851, 706, 8296, 7863, 18034, 357, 3559, 12199, 8, 1440, 1208, 825, 26448, 11, 1115, 4137, 277, 25329, 11, 981, 20222, 734, 284, 467, 1863, 351, 465, 1105, 23249, 13, 554, 16382, 11, 339, 757, 2957, 262, 1074, 351, 807, 23141, 23249, 11, 290, 39398, 6740 ]

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

[ 326, 484, 547, 617, 1611, 286, 10582, 7428, 1486, 837, 3297, 286, 588, 30963, 2616, 30390, 837, 475, 1290, 517, 20049, 290, 27303, 12, 11534, 287, 5585, 764, 9930, 547, 635, 1760, 287, 257, 4996, 286, 7577, 286, 2042, 290, 2769, 837, 3223, 2266, 764, 1169, 9824, 1088, 607, 3223, 7586, 2951, 925, 606, 1302, 503, 18939, 764, 4625, 326, 837, 673, 12408, 257, 6482, 286, 617, 2587, 326, 3114, 588, 2829, 837, 2705, 24780, 5116, 837, 6626, 319, 262, 5389, 329, 10152, 286, 3356, 837, 290, 607, 3625, 547, 12908, 287, 10012, 925, 286, 2092, 2587, 837, 635, 24789, 351, 27400, 764, 1169, 285, 13966, 292, 1040, 290, 6482, 1111, 547, 5899, 2330, 837, 290, 925, 257, 7786, 6273, 1028, 262, 3223, 46792, 286, 607, 4168, 837, 290, 9066, 262, 7209, 837, 5381, 12749, 286, 607, 5101, 290, 7405, 34355, 880, 764, 64, 10999, 286, 2330, 11620, 550, 281, 6565, 43604, 329, 257, 17849, 319, 530, 286, 607, 21497, 837, 351, 257, 21264, 329, 10938, 257, 629, 6485, 446, 2402, 340, 319, 262, 584, 764, 392, 625, 477, 286, 326, 837, 673, 12408, 257, 24818, 992, 24117, 286, 27400, 837, 407, 1165, 22121, 5023, 262, 3392, 356, 550, 1775, 287, 497, 85, 4763, 532, 475, 262, 7577, 547, 477, 287, 262, 5527, 837, 3608, 23755, 286, 262, 7374, 2184, 1058, 1278, 18150, 4171, 837, 2769, 5417, 4077, 837, 290, 45493, 14032, 764, 7091, 3114, 379, 502, 290, 531, 837, 7559, 1312, 705, 76, 4953, 329, 345, 284, 910, 1223, 546, 257, 1569, 22649, 905, 15219, 764, 10148, 270, 1718, 502, 257, 2589, 284, 37671, 616, 5422, 284, 616, 3632, 764, 15506, 345, 804, 4998, 837, 10148, 1312, 531, 764, 372, 8212, 373, 3105, 290, 3024, 837, 351, 607, 3223, 2951, 319, 6164, 764, 15506, 23781, 837, 10148, 1312, 531, 764, 15506, 475, 2644, 340, 857, 299, 470, 804, 845, 8472, 764, 10148, 293, 64, 6292, 1278, 268, 2611, 417, 705, 82, 1021, 290, 34710, 262, 1761, 78, 764, 7091, 23831, 625, 290, 38023, 1522, 1223, 656, 2341, 272, 705, 82, 1027, 764, 82, 385, 272, 610, 1740, 281, 38220, 837, 475, 788, 531, 837, 7559, 267, 4914, 64, 323, 2644, 10148, 673, 4838, 607, 2951, 11589, 837, 22002, 278, 764, 392, 673, 23717, 764, 2339, 837, 3190, 764, 1662, 2157, 257, 1327, 12, 1462, 12, 79, 9798, 30615, 764, 3137, 3750, 764, 1820, 5770, 13552, 13818, 290, 531, 837, 7559, 262, 976, 355, 878, 837, 475, 2266, 837, 1200, 764, 10148, 15506, 8788, 837, 10148, 531, 2341, 272, 705, 82, 3809, 422, 6565, 1633, 837, 290, 6451, 673, 373, 736, 757, 837, 16755, 18633, 764, 15506, 28796, 764, 10148, 15506, 262, 24117, 481, 7808, 345, 422, 262, 2951, 290, 584, 17627, 355, 880, 837, 1200, 837, 10148, 616, 5770, 13552, 531, 764, 15506, 290, 981, 345, 5806, 883, 10012, 837, 534, 4831, 481, 2666, 645, 8339, 4249, 787, 262, 18197, 2128, 764, 10148, 15506, 23781, 837, 826, 837, 10148, 1312, 531, 764, 15506, 475, 1312, 705, 67, 1254, 1365, 611, 673, 550, 617, 885, 19279, 283, 1863, 393, 1223, 764, 3137, 287, 1339, 764, 10148, 15506, 1278, 268, 2611, 417, 837, 10148, 531, 616, 5770, 13552, 764, 1169, 46901, 16658, 333, 30180, 9859, 257, 5193, 12, 17805, 16912, 837, 6235, 340, 379, 2341, 272, 705, 82, 27081, 422, 966, 12, 27190, 2837, 837, 290, 29650, 262, 7616, 764, 1169, 2485, 21405, 276, 764, 82, 385, 272, 13665, 9091, 607, 1182, 284, 530, 1735, 290, 48480, 837, 537, 5912, 530, 1021, 284, 607, 1027, 764, 15506, 12334, 5145, 10148, 7091, 3013, 283, 992, 837, 7396, 290, 6225, 319, 262, 1862, 9785, 258, 764, 15506, 345, 3367, 286, 257, 21551, 837, 883, 1243, 389, 7812, 764, 5562, 5938, 764, 72, 10783, 284, 4829, 534, 840, 510, 1022, 534, 11368, 329, 345, 764, 10148, 259, 3280, 837, 262, 9785, 258, 17157, 351, 2784, 9830, 11542, 290, 458, 17758, 1223, 422, 262, 2323, 764, 258, 6204, 290, 3751, 340, 284, 2341, 272, 837, 290, 788, 284, 502, 764, 270, 373, 257, 10492, 764, 1169, 9686, 373, 23354, 287, 6228, 837, 1566, 340, 29627, 37657, 257, 1402, 28520, 764, 454, 2951, 1392, 1611, 286, 3094, 764, 293, 64, 4104, 607, 2832, 290, 531, 30180, 837, 7559, 24685, 18287, 5770, 13552, 764, 10148, 72, 14682, 616, 1182, 837, 19987, 764, 270, 550, 2077, 502, 812, 284, 1486, 837, 2251, 837, 290, 2987, 616, 11620, 288, 5819, 705, 82, 6110, 10377, 837, 290, 772, 788, 837, 262, 4800, 7083, 691, 355, 1290, 355, 262, 4036, 11620, 764, 293, 64, 550, 30712, 510, 257, 2187, 12, 2618, 14153, 43706, 287, 2431, 764, 72, 6451, 2936, 257, 1643, 517, 19695, 764, 270, 373, 2192, 922, 329, 502, 764, 4360, 788, 1312, 37229, 616, 1182, 837, 22002, 278, 764, 1169, 1176, 2950, 287, 616, 5770, 13552, 705, 82, 13201, 373, 8082, 532, 475, 262, 6881, 655, 857, 299, 470, 1283, 284, 307, 4684, 284, 1577, 345, 1223, 329, 2147, 764, 5562, 373, 355, 2081, 287, 5536, 355, 340, 373, 287, 11887, 764, 72, 714, 837, 351, 812, 286, 3626, 837, 2192, 23418, 644, 443, 64, 705, 82, 13201, 714, 466, 764, 1169, 9785, 258, 3111, 351, 262, 976, 5536, 1312, 750, 837, 996, 33603, 484, 3947, 284, 423, 257, 845, 1180, 3297, 286, 2776, 764, 24219, 837, 326, 881, 1176, 477, 287, 530, 4136, 4001, 326, 262, 2568, 1575, 329, 340, 373, 852, 3432, 8057, 764, 2339, 3863, 287, 28188, 764, 15506, 5770, 13552, 837, 10148, 1312, 1965, 837, 7559, 703, 890, 481, 777, 13201, 21178, 5633, 10148, 372, 8212, 2900, 257, 1310, 6507, 764, 15506, 29042, 837, 1200, 764, 72, 716, 257, 24685, 18287, 5770, 13552, 837, 716, 1312, 407, 5633, 10508, 1243, 389, 407, 4001, 284, 938, 764, 10148, 15506, 466, 299, 470, 1560, 502, 15896, 837, 10148, 1312, 531, 764, 15506, 286, 1781, 407, 764, 72, 716, 407, 636, 286, 3931, 764, 10148, 7091, 26300, 276, 837, 2138, 40987, 2759, 764, 15506, 19613, 764, 10148, 392, 326, 925, 517, 2565, 764, 1820, 288, 5819, 705, 82, 10377, 15436, 329, 1933, 837, 290, 1312, 1807, 1312, 705, 67, 3111, 503, 703, 284, 787, 606, 1057, 329, 517, 621, 257, 614, 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 ]

[ 286, 38167, 11, 262, 7968, 5852, 13, 198, 198, 4821, 284, 262, 471, 13, 50, 13, 20962, 9840, 11, 262, 3059, 78, 1734, 694, 327, 6322, 468, 257, 2472, 1989, 286, 837, 286, 543, 837, 393, 657, 13, 4846, 7441, 389, 1660, 13, 383, 2055, 318, 29738, 416, 256, 2455, 3166, 286, 3942, 5660, 11, 543, 15623, 5366, 284, 327, 4374, 3713, 13509, 287, 412, 746, 81, 1045, 290, 318, 636, 286, 262, 1482, 395, 10949, 5866, 42640, 2491, 4191, 284, 262, 8932, 4188, 71, 7697, 13, 198, 198, 41183, 198, 50, 6679, 1734, 694, 318, 636, 286, 262, 327, 4374, 3713, 3961, 5665, 13, 317, 890, 12, 2435, 4931, 287, 3059, 78, 1734, 694, 11, 262, 3059, 78, 1734, 694, 25335, 3961, 4838, 287, 2795, 2813, 13, 3059, 78, 1734, 694, 2444, 389, 783, 18665, 284, 262, 10656, 25335, 3961, 13, 198, 198, 20012, 2594, 198, 50, 6679, 1734, 694, 318, 1363, 284, 262, 3059, 78, 1734, 694, 45202, 3764, 5834, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 50, 6679, 1734, 694, 25335, 3961, 357, 998, 1572, 8, 198, 50, 6679, 1734, 694, 3764, 5834, 198, 198, 16979, 4817, 4113, 287, 38167, 3418, 11, 9589, 198, 34, 7314, 12, 26124, 515, 4113, 287, 38167, 3418, 11, 9589, 34, 1530, 1437, 7499, 318, 257, 3240, 1044, 287, 3418, 3242, 3400, 319, 262, 327, 1530, 1437, 5866, 379, 262, 35037, 286, 262, 371, 7029, 290, 371, 45068, 7915, 9725, 13, 198, 198, 1026, 318, 604, 1849, 13276, 5093, 286, 4347, 283, 17299, 13, 198, 198, 6214, 635, 198, 7343, 286, 3240, 4447, 286, 3418, 3242, 3400, 198, 198, 19927, 198, 198, 38097, 4447, 286, 3418, 3242, 3400, 25803, 4951, 17431, 77, 1878, 271, 357, 6286, 2932, 2579, 11, 13521, 8, 318, 257, 5934, 3448, 313, 1966, 4346, 13191, 508, 2826, 329, 5949, 692, 261, 7576, 562, 349, 13, 2399, 1966, 3466, 389, 7125, 440, 2144, 544, 11, 1052, 1506, 5958, 16513, 363, 436, 64, 290, 509, 3838, 27391, 13, 17431, 77, 1878, 271, 373, 2826, 867, 8030, 1830, 351, 943, 271, 383, 824, 40755, 5580, 319, 7358, 11, 475, 7125, 440, 2144, 544, 10226, 465, 4351, 284, 943, 271, 13, 679, 635, 11589, 4488, 351, 7001, 32994, 418, 8377, 418, 544, 287, 3717, 11, 475, 706, 3047, 19169, 326, 339, 2314, 2555, 2712, 7606, 306, 290, 3066, 284, 8058, 2233, 284, 281, 1468, 5095, 13, 2735, 339, 318, 257, 4346, 5797, 13, 198, 198, 6653, 477, 640, 4511, 1910, 1988, 373, 939, 11, 830, 21138, 13, 198, 198, 41506, 6117, 198, 220, 198, 198, 33581, 27244, 198, 36376, 661, 198, 20418, 3448, 313, 4346, 364, 198, 20418, 26440, 3230, 4346, 364, 198, 2246, 440, 2144, 544, 1938, 198, 2025, 1506, 5958, 16513, 363, 436, 64, 10029, 1938, 198, 25189, 692, 261, 7576, 562, 349, 10029, 1938, 198, 42, 13, 32, 13, 32, 13, 27391, 1938, 198, 8021, 41003, 4346, 16355, 45, 419, 261, 5985, 40783, 538, 11, 3562, 416, 17264, 35875, 11, 373, 3562, 284, 6133, 287, 262, 9934, 286, 6589, 4056, 319, 5413, 3964, 13, 198, 198, 32657, 40783, 538, 373, 9477, 416, 15845, 415, 721, 11, 290, 2702, 355, 257, 27669, 1720, 329, 257, 2278, 286, 640, 13, 1081, 286, 3717, 11, 5985, 40783, 538, 3058, 318, 23485, 422, 15845, 415, 721, 27669, 290, 318, 16560, 287, 30722, 4482, 23044, 13, 198, 198, 2437, 340, 2499, 198, 23792, 13693, 11, 5985, 40783, 538, 15989, 1115, 6805, 11, 1123, 286, 543, 8339, 290, 17259, 2458, 925, 284, 6133, 287, 43194, 341, 13, 1002, 262, 1430, 468, 407, 587, 20738, 5985, 40783, 538, 460, 307, 6235, 284, 262, 1388, 28883, 2393, 393, 262, 1388, 1430, 1448, 13, 632, 635, 28800, 1811, 366, 86, 14124, 1, 284, 30276, 2219, 4217, 14009, 929, 4568, 13, 383, 366, 25610, 42818, 1, 8265, 2753, 1337, 286, 9904, 477, 262, 9058, 4056, 852, 1057, 13, 1550, 31521, 262, 9706, 286, 257, 9058, 1430, 340, 1838, 257, 3465, 286, 262, 1430, 3696, 4067, 11, 2458, 284, 33432, 290, 584, 3307, 13, 383, 366, 28566, 42818, 1, 8265, 19374, 262, 9988, 286, 14199, 55, 6973, 290, 22689, 12, 1040, 13, 383, 366, 28350, 6305, 1, 7515, 7622, 2610, 286, 3696, 543, 389, 852, 17535, 13, 383, 366, 3118, 1484, 290, 7754, 29566, 9220, 9938, 364, 1, 1321, 7723, 832, 29566, 6305, 284, 5004, 543, 3696, 389, 1167, 37971, 17535, 290, 4145, 743, 645, 2392, 307, 2622, 13, 198, 198, 8979, 19414, 198, 32657, 40783, 538, 7622, 35872, 286, 477, 555, 37050, 4056, 329, 257, 7368, 2033, 286, 640, 13, 1002, 281, 6393, 2393, 318, 14716, 4615, 11, 262, 2836, 468, 262, 3038, 286, 19414, 13, 198, 198, 54, 14124, 198, 1, 19895, 425, 16884, 1, 460, 307, 973, 329, 552, 11697, 1167, 37971, 973, 1430, 329, 1568, 779, 13, 198, 1, 7282, 929, 16884, 1, 8075, 35872, 286, 4056, 1231, 43194, 341, 13, 198, 1, 21774, 16884, 1, 3578, 3867, 4056, 1022, 10182, 393, 284, 257, 649, 9483, 13, 383, 366, 8291, 634, 16884, 1, 5419, 287, 3867, 4056, 1973, 9061, 13, 198, 1, 8081, 4592, 49405, 1, 7106, 6945, 20478, 39272, 290, 12857, 13, 632, 3769, 319, 262, 6129, 1321, 319, 262, 5726, 852, 13012, 13, 198, 1, 8081, 4592, 42818, 1, 23824, 262, 20478, 290, 20694, 12515, 12784, 13, 198, 1, 10260, 12, 1026, 1, 6338, 5992, 5985, 40783, 538, 13, 198, 198, 19927, 198, 198, 45, 419, 261, 14662, 25392, 3788, 198, 18274, 2410, 329, 3964, 32835, 4638, 15042, 357, 8579, 12, 2548, 8, 373, 281, 1215, 7496, 7000, 4074, 9477, 416, 262, 471, 13, 50, 13, 8565, 329, 2139, 287, 2159, 1810, 2873, 11, 3706, 706, 5628, 4638, 15042, 11, 262, 8598, 287, 7349, 11, 16256, 13, 2332, 4876, 373, 284, 3283, 7000, 11, 19866, 515, 3709, 11, 290, 5112, 284, 7937, 287, 262, 11026, 11, 290, 284, 6569, 8985, 290, 29475, 3006, 13, 198, 198, 13102, 15042, 373, 8104, 866, 1367, 2932, 16994, 416, 9589, 16656, 33750, 3457, 1539, 1355, 26043, 756, 11, 3936, 11, 739, 257, 45411, 2775, 26, 5611, 604, 3267, 16994, 26, 15901, 416, 9074, 13, 317, 13, 347, 13, 22233, 26, 11172, 284, 262, 8565, 642, 2805, 290, 20462, 2310, 2805 ]

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

[ 1994, 1088, 607, 7393, 764, 7091, 2900, 262, 16840, 6440, 837, 788, 13488, 329, 257, 10971, 764, 7091, 373, 287, 607, 11847, 837, 257, 1402, 837, 7815, 12, 7718, 1079, 2119, 2641, 474, 292, 40909, 705, 82, 13620, 764, 372, 33839, 547, 38132, 567, 1058, 257, 1402, 3996, 837, 257, 1755, 1481, 837, 290, 262, 3597, 3084, 547, 607, 691, 13091, 764, 372, 9528, 6150, 287, 262, 21427, 673, 550, 3181, 764, 3919, 14477, 41860, 262, 4314, 837, 290, 612, 547, 645, 9168, 837, 355, 262, 9519, 547, 287, 262, 479, 9869, 1671, 29313, 666, 369, 44281, 837, 543, 373, 11447, 764, 5562, 857, 787, 340, 20294, 837, 262, 302, 276, 2630, 764, 68, 2645, 5350, 12, 12647, 3652, 265, 705, 82, 731, 10599, 704, 12, 9776, 262, 530, 1804, 262, 3597, 837, 475, 477, 1115, 286, 2236, 272, 705, 82, 16997, 9397, 561, 307, 287, 262, 2119, 736, 287, 474, 993, 885, 1079, 837, 14329, 284, 262, 5273, 764, 72, 705, 76, 25260, 673, 2753, 340, 572, 981, 39153, 837, 2236, 272, 2630, 764, 27078, 673, 31976, 502, 517, 837, 673, 743, 2221, 1262, 502, 355, 257, 39153, 31277, 764, 5562, 743, 1944, 281, 3663, 764, 5562, 318, 257, 922, 1410, 837, 262, 11506, 15977, 2630, 764, 12647, 3652, 265, 3382, 502, 284, 966, 503, 326, 356, 389, 845, 7926, 284, 787, 345, 466, 428, 764, 270, 1276, 307, 2408, 329, 345, 284, 307, 1497, 523, 890, 764, 26069, 2249, 5633, 49271, 272, 6497, 510, 262, 11506, 15977, 290, 41723, 764, 8505, 837, 340, 373, 2408, 764, 26069, 2249, 407, 284, 2121, 287, 1842, 351, 262, 4925, 837, 2408, 407, 284, 651, 1165, 19233, 287, 607, 3640, 764, 270, 550, 587, 691, 734, 1933, 1201, 673, 705, 67, 9431, 474, 292, 40909, 284, 1011, 607, 355, 257, 15305, 837, 475, 1541, 673, 2936, 2063, 355, 44295, 290, 5403, 355, 6563, 764, 1169, 749, 2408, 1517, 286, 477, 373, 6970, 326, 340, 561, 2582, 886, 764, 4976, 284, 2050, 287, 479, 9869, 1671, 29313, 373, 837, 1231, 4719, 837, 262, 749, 7932, 1517, 326, 550, 1683, 3022, 284, 607, 764, 72, 481, 6687, 837, 673, 2630, 764, 5832, 389, 262, 3392, 2877, 262, 2408, 1204, 837, 10941, 674, 1641, 705, 82, 5353, 379, 1363, 764, 4919, 389, 345, 1804, 5633, 270, 1718, 640, 329, 606, 284, 10971, 764, 36672, 306, 837, 1926, 75, 5350, 3443, 1908, 764, 14108, 2988, 705, 82, 20250, 389, 2406, 2233, 837, 290, 47145, 320, 460, 8523, 1394, 262, 29714, 22943, 764, 1169, 1029, 1050, 924, 257, 4487, 837, 290, 2506, 3382, 284, 760, 810, 674, 2156, 6296, 319, 262, 1808, 286, 22435, 764, 1169, 938, 286, 262, 36343, 1678, 318, 2491, 503, 764, 361, 340, 4329, 1900, 326, 356, 645, 2392, 423, 4133, 837, 340, 481, 467, 11234, 329, 514, 764, 49271, 272, 18288, 2286, 764, 4919, 890, 466, 1312, 423, 5633, 64, 1178, 517, 1933, 837, 379, 1266, 837, 15709, 3652, 265, 1908, 736, 2884, 465, 731, 10599, 704, 764, 270, 8338, 319, 703, 890, 262, 1029, 1050, 924, 20374, 290, 1771, 393, 407, 2687, 23660, 1521, 355, 3099, 474, 1530, 84, 318, 6301, 674, 23309, 764, 73, 1530, 84, 373, 262, 18887, 286, 262, 9397, 837, 655, 4697, 621, 2236, 272, 764, 14363, 1468, 19029, 7947, 373, 1682, 2406, 287, 15728, 764, 1640, 812, 837, 339, 705, 67, 587, 16568, 1243, 422, 511, 2988, 290, 6301, 606, 284, 3002, 465, 9089, 764, 258, 36766, 339, 373, 991, 1804, 326, 837, 475, 339, 3181, 262, 1637, 736, 284, 1037, 764, 258, 373, 257, 922, 582, 837, 3805, 465, 7947, 764, 392, 837, 477, 1243, 3177, 837, 339, 1107, 714, 299, 470, 307, 13772, 329, 881, 286, 644, 339, 705, 67, 1760, 764, 23108, 286, 606, 714, 764, 20763, 320, 6834, 326, 339, 460, 1394, 2506, 379, 15489, 329, 257, 981, 2392, 764, 4360, 356, 389, 1972, 12111, 764, 1169, 14556, 345, 1441, 351, 262, 5848, 17970, 837, 262, 1365, 764, 49271, 272, 41723, 837, 788, 2630, 837, 389, 356, 1728, 428, 318, 262, 1266, 835, 5633, 28998, 356, 815, 2391, 1265, 474, 292, 40909, 329, 1037, 764, 5832, 892, 673, 561, 3031, 284, 326, 5633, 9930, 2630, 736, 764, 7091, 561, 1037, 281, 6439, 290, 43252, 410, 31829, 2156, 5633, 7091, 561, 1394, 674, 13141, 5633, 26949, 407, 764, 2016, 2236, 272, 373, 6481, 1728, 326, 474, 292, 40909, 705, 82, 8507, 373, 25291, 837, 262, 2415, 750, 423, 257, 29541, 1735, 284, 607, 764, 7091, 561, 407, 2666, 607, 1593, 3640, 284, 467, 1037, 2236, 272, 705, 82, 1641, 764, 7091, 4251, 329, 262, 302, 276, 284, 10971, 837, 475, 340, 2067, 44661, 11108, 757, 764, 49271, 272, 837, 340, 531, 764, 5661, 318, 15709, 3652, 265, 2162, 1312, 423, 1908, 262, 1854, 1497, 764, 270, 318, 691, 1926, 75, 5350, 290, 502, 3597, 345, 783, 764, 8117, 318, 1223, 345, 761, 284, 760, 764, 75, 947, 71, 318, 2636, 764, 49271, 272, 40360, 287, 5975, 764, 75, 947, 71, 837, 607, 2988, 705, 82, 20798, 446, 837, 550, 587, 262, 530, 508, 550, 1900, 703, 284, 779, 262, 5848, 17970, 764, 258, 373, 530, 286, 262, 1178, 661, 673, 290, 607, 9397, 550, 5295, 484, 714, 3774, 764, 10919, 3022, 5633, 7091, 2630, 706, 15430, 284, 257, 649, 9629, 286, 3348, 764, 258, 3724, 287, 465, 3993, 837, 290, 612, 705, 82, 645, 1738, 284, 4099, 339, 373, 2923, 764, 4360, 2236, 272, 837, 257, 1178, 2745, 706, 465, 6427, 837, 617, 1450, 8672, 994, 8512, 284, 307, 2460, 286, 674, 2988, 764, 259, 2839, 351, 502, 837, 484, 17142, 484, 2993, 286, 2988, 705, 82, 5848, 17970, 290, 5220, 7634, 326, 1312, 373, 284, 1441, 340, 284, 606, 764, 49271, 272, 32198, 764, 7091, 991, 5281, 607, 2988, 705, 82, 5445, 5848, 17970, 287, 262, 1932, 538, 7673, 286, 607, 23179, 764, 7783, 340, 5633, 7091, 2630, 764, 732, 1239, 750, 3785, 503, 810, 2988, 1392, 340, 837, 15709, 3652, 265, 1908, 764, 49271, 272, 837, 339, 373, 2950, 287, 1223, 764, 25591, 8739, 837, 262, 1243, 300, 947, 71, 531, 837, 290, 783, 428, 764, 732, 2555, 284, 16614, 326, 2988, 318, 6776, 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 ]

[ 392, 10491, 21050, 8, 2323, 379, 520, 4502, 338, 23948, 11, 783, 27027, 500, 5335, 2113, 907, 9268, 3250, 11, 287, 8830, 2520, 48542, 13, 6363, 1781, 373, 7627, 355, 5679, 25, 340, 1718, 262, 1627, 286, 7590, 9974, 788, 3804, 416, 262, 42651, 290, 11312, 11, 788, 3804, 262, 2524, 286, 13656, 9256, 11, 8758, 3530, 13, 770, 6727, 2665, 373, 635, 1900, 878, 326, 4436, 338, 16512, 287, 262, 1903, 678, 400, 4289, 355, 262, 13656, 13860, 13, 632, 788, 3804, 262, 9384, 286, 357, 20777, 33359, 8, 4312, 6327, 4397, 33128, 284, 262, 5366, 11, 14583, 262, 6518, 5093, 286, 644, 373, 262, 1588, 42521, 7022, 286, 4312, 6327, 338, 1926, 357, 271, 1044, 737, 383, 6518, 318, 1909, 37657, 416, 33128, 3530, 13, 554, 262, 717, 39210, 262, 7850, 23791, 656, 262, 42521, 416, 8011, 278, 5093, 379, 1115, 2173, 13, 220, 1629, 1551, 1115, 29770, 453, 18633, 21050, 28552, 11196, 11, 734, 286, 543, 547, 7421, 286, 262, 1966, 1402, 7022, 286, 367, 669, 1636, 2902, 290, 262, 2368, 379, 262, 27665, 2524, 286, 520, 8858, 49439, 338, 36444, 13, 383, 34726, 3889, 338, 7840, 5422, 357, 2197, 257, 4417, 1660, 966, 286, 17655, 656, 257, 2769, 11, 22659, 515, 287, 1616, 8, 36319, 262, 881, 12, 18780, 510, 1966, 22397, 1044, 379, 262, 7627, 886, 286, 367, 669, 1636, 2902, 7022, 11, 1900, 355, 46961, 42521, 290, 262, 1877, 636, 286, 4312, 6327, 4397, 15074, 1900, 355, 12806, 338, 5451, 284, 262, 7627, 11, 543, 468, 635, 587, 3170, 12, 929, 13, 198, 198, 18122, 198, 198, 36, 43408, 198, 818, 262, 1596, 400, 4289, 9118, 27516, 547, 40597, 379, 262, 348, 37595, 810, 262, 34726, 3889, 5982, 262, 42521, 13, 383, 1438, 286, 262, 7850, 318, 4762, 284, 27099, 422, 262, 3381, 366, 7959, 346, 338, 7393, 44905, 1600, 257, 39306, 3381, 329, 262, 8181, 805, 338, 645, 577, 13, 554, 3576, 11303, 290, 21662, 11, 3199, 287, 1248, 6420, 11, 8616, 347, 13, 34744, 1636, 7189, 326, 612, 373, 705, 29482, 922, 2370, 6, 326, 705, 1169, 705, 13603, 346, 338, 34726, 3889, 6, 986, 262, 6156, 1295, 286, 9837, 290, 9706, 6, 373, 379, 262, 2524, 286, 262, 705, 20489, 12200, 1171, 12, 4803, 6, 319, 12806, 338, 5451, 13, 22183, 287, 383, 554, 5907, 286, 5706, 2520, 48542, 843, 5334, 3928, 602, 11, 287, 49584, 11, 7035, 3977, 28703, 293, 290, 14576, 19636, 3465, 326, 257, 1295, 1444, 6245, 349, 338, 34726, 6540, 3568, 319, 257, 3975, 287, 1596, 1821, 290, 11, 287, 262, 976, 4067, 11, 287, 1248, 1485, 11, 262, 5542, 12200, 3527, 13, 198, 198, 6090, 1133, 338, 309, 3532, 198, 13749, 22618, 15819, 30837, 415, 1139, 262, 34726, 3889, 338, 1903, 2665, 11, 810, 340, 24234, 262, 8758, 5567, 11, 379, 13656, 10290, 11, 373, 635, 1900, 355, 1680, 1133, 338, 309, 3532, 13, 554, 1737, 11, 8949, 21, 11, 20849, 327, 14930, 262, 3878, 11, 508, 550, 26466, 4492, 11, 18735, 257, 35091, 832, 2520, 48542, 284, 1249, 465, 16659, 284, 3368, 262, 7272, 13768, 3576, 10290, 13, 554, 1367, 4790, 11, 257, 6518, 1708, 257, 2092, 1781, 373, 973, 284, 14782, 262, 42521, 284, 5086, 2615, 670, 319, 3576, 10290, 13, 198, 198, 34621, 21449, 198, 818, 262, 1478, 400, 4289, 11, 262, 12538, 966, 286, 262, 34726, 3889, 290, 262, 5706, 8758, 5567, 373, 1900, 355, 262, 220, 286, 1001, 600, 5658, 11, 393, 520, 13, 5658, 12, 24247, 12, 19184, 278, 11, 290, 373, 4750, 416, 42803, 49628, 2189, 287, 383, 43581, 15214, 355, 257, 1295, 810, 262, 42408, 1660, 511, 14260, 319, 511, 835, 284, 5658, 11739, 316, 338, 29981, 13, 554, 262, 48256, 273, 2278, 520, 13, 5658, 12, 24247, 12, 19184, 278, 373, 635, 262, 4067, 329, 1171, 30632, 13, 198, 198, 818, 262, 1467, 400, 4289, 11, 35867, 396, 290, 10214, 272, 396, 1757, 41459, 2630, 286, 262, 4295, 481, 322, 21047, 326, 705, 1026, 318, 1043, 299, 394, 262, 1295, 286, 9706, 379, 520, 13, 5658, 257, 5638, 278, 26, 290, 416, 257, 3918, 319, 257, 42521, 3331, 1474, 284, 262, 10489, 338, 3169, 15280, 17351, 319, 262, 835, 284, 2297, 81, 22391, 2637, 198, 198, 7191, 262, 6046, 21449, 11, 262, 1957, 4158, 2156, 11, 4312, 6327, 4397, 33128, 11, 925, 779, 286, 262, 1660, 286, 262, 34726, 3889, 284, 1176, 257, 31105, 3939, 13, 383, 3939, 338, 1903, 1438, 373, 2297, 81, 733, 11, 635, 281, 1903, 1438, 329, 262, 1944, 29272, 4783, 286, 371, 847, 17945, 258, 11, 1550, 3261, 2795, 1315, 2623, 11, 262, 33128, 40352, 262, 3939, 284, 1757, 4424, 293, 86, 11, 475, 262, 35305, 2122, 286, 262, 2892, 1603, 444, 2497, 340, 17092, 9477, 13, 1629, 428, 640, 262, 34726, 3889, 373, 20436, 540, 422, 262, 42521, 510, 284, 262, 33128, 9384, 13, 198, 198, 14565, 6253, 11, 3977, 28703, 293, 11, 3597, 287, 5706, 2520, 48542, 843, 6363, 4380, 11, 287, 1248, 3695, 11, 8477, 257, 7696, 319, 262, 5706, 8758, 5567, 11, 14567, 284, 262, 640, 286, 4312, 6327, 4397, 33128, 11, 543, 373, 991, 7424, 355, 636, 286, 262, 34327, 1080, 287, 262, 678, 400, 4289, 13, 632, 373, 705, 1659, 257, 6235, 3934, 286, 7815, 351, 2237, 27105, 11, 2092, 284, 262, 13325, 636, 286, 262, 3576, 10290, 290, 284, 883, 286, 9740, 290, 2574, 400, 321, 13, 1318, 389, 11, 2158, 11, 645, 35370, 654, 284, 262, 7696, 26, 340, 373, 6974, 442, 321, 69, 1068, 379, 262, 13015, 13, 6363, 3128, 743, 307, 546, 262, 3504, 286, 262, 5515, 20283, 4289, 986, 383, 15225, 286, 464, 5996, 400, 34723, 338, 371, 16063, 357, 25886, 959, 5221, 8, 373, 257, 34792, 286, 262, 3517, 3942, 5407, 13, 632, 373, 4376, 287, 1248, 2920, 355, 262, 352, 301, 35588, 286, 33328, 27749, 13, 632, 373, 11032, 355, 262, 5996, 400, 34723, 338, 371, 16063, 357, 25886, 959, 5221, 8, 287, 41625, 290, 2627, 352, 301, 29887, 357, 34, 2088, 338, 8, 1511, 400, 23281, 5221, 371, 16063, 287, 36094, 13, 554, 21709, 11, 340, 373, 19171, 284, 262, 7648, 5407, 11, 810, 340, 4477, 284, 2152, 355, 767, 400, 29887 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 449, 13, 449, 13, 357, 1129, 3426, 4751, 737, 366, 8413, 417, 2271, 474, 648, 6081, 357, 39, 669, 3245, 11, 1248, 1959, 8, 532, 31324, 127, 250, 126, 99, 127, 229, 23141, 36165, 532, 24777, 8111, 1911, 9764, 9071, 42957, 312, 32563, 1023, 7023, 13, 366, 32, 10638, 286, 262, 1204, 2106, 286, 3982, 417, 2271, 474, 648, 6081, 357, 31633, 6888, 268, 31718, 25, 383, 565, 1437, 68, 8, 318, 3417, 290, 18542, 416, 9568, 12566, 1911, 5579, 1572, 2608, 2901, 2813, 13, 198, 198, 8413, 417, 272, 5362, 198, 37, 32837, 286, 7648, 198, 1537, 353, 27959, 286, 12551, 464, 2520, 10323, 3732, 82, 8108, 7712, 9870, 318, 257, 1957, 13953, 1448, 1912, 287, 262, 2520, 10323, 1040, 11, 290, 1989, 1626, 10323, 1040, 286, 7096, 41788, 11, 370, 328, 12735, 10932, 13, 383, 1448, 318, 1912, 287, 262, 7404, 6899, 286, 520, 1419, 74, 14232, 13, 198, 198, 464, 12031, 286, 262, 9870, 389, 25, 198, 2514, 1104, 14240, 2478, 290, 15070, 2649, 198, 41206, 286, 19277, 543, 12188, 319, 262, 2858, 11, 15012, 11, 3968, 290, 4067, 198, 46890, 6443, 329, 1466, 290, 1862, 661, 198, 47531, 1895, 284, 1919, 290, 2055, 7291, 198, 2514, 7719, 11, 4474, 290, 8076, 14, 11284, 584, 16546, 290, 4493, 286, 257, 21803, 3450, 329, 262, 4414, 286, 262, 2520, 10323, 1040, 2055, 13, 198, 198, 464, 3774, 318, 13160, 286, 1957, 661, 11, 1597, 661, 11, 290, 7602, 13, 383, 1388, 2962, 286, 262, 1448, 318, 262, 6282, 286, 262, 19574, 286, 7096, 41788, 1998, 11, 290, 262, 3774, 373, 21543, 287, 4634, 510, 262, 21493, 7372, 287, 4751, 290, 302, 29443, 262, 46371, 284, 9692, 13, 9561, 428, 1628, 484, 635, 900, 510, 257, 3052, 284, 2380, 262, 2520, 10323, 1040, 284, 15930, 11, 739, 262, 17625, 286, 262, 19574, 286, 7096, 41788, 357, 47230, 338, 4042, 311, 44262, 306, 6252, 737, 198, 198, 19927, 198, 198, 41506, 6117, 198, 9498, 3052, 198, 198, 26121, 38189, 1912, 287, 30933, 69, 1678, 290, 7096, 41788, 19485, 262, 16835, 318, 257, 1751, 338, 5337, 416, 27027, 500, 5108, 1567, 260, 272, 11, 3199, 287, 5878, 13, 632, 1839, 262, 21420, 45031, 10880, 444, 4897, 15895, 19461, 11289, 11, 355, 880, 355, 852, 1790, 17935, 329, 262, 33976, 9064, 290, 262, 10500, 1122, 8990, 338, 4897, 286, 262, 6280, 13, 198, 198, 3646, 5549, 10638, 198, 7191, 262, 10433, 6379, 5660, 11, 327, 36419, 290, 607, 3397, 9240, 422, 262, 7627, 284, 12259, 287, 28537, 8329, 11, 257, 649, 9443, 13, 12511, 257, 1178, 1528, 11, 340, 4329, 4156, 326, 257, 1957, 24337, 1664, 3382, 284, 779, 262, 1956, 329, 2346, 290, 6370, 284, 5001, 340, 422, 262, 661, 286, 262, 3240, 13, 383, 3240, 4125, 643, 466, 407, 765, 284, 3677, 511, 1956, 11, 290, 262, 3437, 286, 262, 24337, 1664, 26459, 326, 645, 13404, 481, 2245, 379, 262, 3240, 13, 24974, 1586, 30699, 832, 1719, 645, 24337, 4637, 11, 262, 3240, 4125, 643, 5409, 284, 787, 4040, 784, 1111, 2742, 290, 5293, 784, 284, 2245, 262, 4512, 326, 8318, 832, 511, 3240, 13, 383, 1621, 4963, 262, 1204, 286, 327, 36419, 355, 673, 13676, 290, 262, 12766, 286, 262, 661, 287, 262, 3240, 284, 787, 617, 3297, 286, 2877, 13, 383, 11684, 19956, 1745, 257, 3148, 284, 905, 511, 2055, 572, 284, 257, 4512, 2220, 286, 10405, 11, 41554, 416, 257, 1448, 286, 262, 3240, 338, 1450, 13, 14207, 262, 1943, 286, 262, 28537, 7011, 11, 262, 10405, 1803, 333, 786, 262, 24337, 1664, 284, 2245, 15482, 28537, 11, 290, 23659, 262, 13404, 13, 383, 661, 286, 28537, 389, 17261, 286, 428, 11, 852, 523, 2005, 572, 422, 262, 1334, 286, 10433, 11, 290, 30427, 286, 257, 1862, 2576, 338, 1918, 739, 262, 13666, 286, 257, 4512, 9009, 257, 31983, 286, 262, 20515, 784, 257, 4129, 286, 6787, 318, 4615, 11, 12013, 262, 2975, 12538, 13, 6416, 1710, 644, 2465, 484, 1244, 2728, 290, 326, 262, 661, 319, 262, 4512, 547, 407, 262, 3392, 4497, 329, 511, 29383, 11, 262, 3240, 4125, 643, 6687, 284, 31081, 262, 2610, 878, 262, 4512, 2058, 832, 11, 12839, 9076, 889, 9336, 13, 1119, 7073, 262, 4512, 1664, 468, 823, 4714, 290, 481, 2245, 379, 511, 4429, 13, 1675, 1414, 17547, 284, 262, 3240, 338, 649, 923, 11, 290, 287, 257, 18342, 286, 27515, 3371, 262, 24337, 1664, 11, 28537, 318, 25121, 30012, 11, 12891, 262, 366, 46, 12583, 20551, 6910, 1911, 198, 198, 464, 1492, 743, 307, 11476, 12824, 416, 262, 2039, 312, 12, 47, 623, 13509, 36289, 1810, 11, 290, 318, 7256, 284, 262, 661, 286, 2039, 312, 11, 366, 8727, 750, 2245, 262, 4512, 1911, 198, 198, 4653, 31735, 198, 34, 36419, 338, 1621, 4477, 287, 21429, 3806, 1439, 262, 520, 2840, 0, 357, 10333, 828, 1900, 287, 262, 1294, 355, 383, 2671, 9982, 15640, 286, 262, 32210, 7542, 11, 287, 543, 673, 14768, 351, 607, 1966, 4701, 11, 4544, 4768, 979, 268, 11, 319, 3096, 281, 1468, 905, 24482, 543, 11453, 262, 17558, 22661, 15752, 5834, 13, 198, 198, 19927, 198, 198, 14585, 3517, 16122, 198, 25631, 1751, 338, 16122, 198, 26829, 338, 6754, 16122, 198, 2949, 626, 82, 900, 287, 10433, 198, 2949, 626, 82, 546, 6787, 4839, 198, 14585, 1751, 338, 3835, 53, 6765, 5476, 1437, 357, 49022, 6916, 8, 318, 281, 8200, 27465, 290, 6754, 3814, 326, 14582, 422, 5366, 286, 10598, 284, 14154, 2879, 11, 11188, 284, 262, 10183, 1989, 286, 6156, 7993, 5476, 1505, 13, 198, 198, 464, 19272, 338, 10033, 4736, 389, 376, 4951, 259, 505, 11, 14154, 2879, 11, 42359, 11, 10299, 926, 1878, 8056, 1045, 11, 1052, 4660, 72, 11, 978, 26646, 13, 198, 198, 18122, 198, 198, 44974, 220, 198, 198, 4821, 284, 262, 6761, 11, 287, 604, 4846, 11843, 262, 22482, 9772, 511, 9133, 14987, 287, 262, 5838, 286, 6233, 3310, 44342, 290, 10893, 511, 43866, 625, 262, 5476, 1505, 20202, 385, 11, 11188, 287, 636, 284, 262, 7840, 1989, 286, 262, 1459, 9133, 6916, 13, 554, 262, 1708, 10675, 11, 262, 3641, 290, 5366, 286, 262, 6916, 373, 262, 2612, 286, 9133, 40337, 287, 7993, 1661, 13, 12101, 262, 17475 ]

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

[ 959, 5590, 32177, 7043, 21456, 9728, 350, 13, 52, 13, 37, 6342, 15963, 13, 198, 198, 1433, 4761, 27244, 198, 1433, 4846, 7040, 198, 1558, 400, 12, 14792, 25960, 666, 26464, 82, 32, 400, 1616, 873, 379, 262, 13130, 3427, 17582, 10216, 11514, 11117, 373, 2714, 379, 309, 1659, 328, 13081, 859, 709, 10499, 11, 347, 8719, 11, 33605, 422, 2534, 284, 2681, 2901, 13130, 13, 198, 198, 9921, 282, 1023, 198, 198, 33, 19417, 198, 198, 24802, 198, 198, 9, 9064, 1023, 508, 14888, 287, 37876, 691, 13, 198, 198, 15878, 198, 198, 20575, 1389, 198, 198, 41044, 198, 198, 24802, 198, 198, 9, 9064, 1023, 508, 14888, 287, 37876, 691, 13, 198, 198, 15878, 198, 198, 20575, 1389, 198, 198, 9921, 282, 3084, 198, 198, 19927, 198, 198, 35, 5185, 259, 1926, 1659, 65, 8719, 23344, 13, 785, 318, 19584, 1479, 357, 17018, 23485, 1367, 14, 2481, 14, 1238, 2481, 8, 198, 198, 41506, 6117, 198, 198, 23344, 3427, 17582, 10216, 11514, 11117, 198, 22030, 17582, 10216, 11514, 11117, 198, 23344, 198, 23344, 3427, 17582, 10216, 11514, 11117, 13587, 727, 3327, 357, 1731, 2693, 47465, 784, 16450, 8, 373, 281, 3594, 4708, 44185, 508, 2826, 287, 262, 9957, 4041, 329, 26943, 3245, 11, 18580, 3245, 8329, 11, 1892, 912, 3418, 290, 383, 3583, 13, 198, 198, 19927, 198, 198, 1507, 2079, 27244, 198, 38391, 7040, 198, 15823, 4346, 364, 198, 8021, 41003, 4346, 22052, 198, 15823, 9957, 4041, 1938, 198, 3673, 912, 3418, 376, 13, 34, 13, 1938, 198, 3347, 31374, 3583, 376, 13, 34, 13, 1938, 198, 44433, 17913, 376, 13, 34, 13, 1938, 198, 7376, 1706, 3245, 376, 13, 34, 13, 1938, 198, 44, 504, 3245, 8329, 376, 13, 34, 13, 1938, 198, 26754, 3245, 1578, 376, 13, 34, 13, 1938, 36, 681, 412, 305, 33133, 2290, 357, 6286, 1679, 2805, 12863, 828, 1365, 1900, 416, 465, 3800, 1438, 11220, 45322, 11, 318, 257, 9663, 25670, 11, 3496, 16002, 290, 21623, 13, 198, 198, 17784, 263, 220, 198, 2953, 262, 2479, 286, 3478, 11, 45322, 2067, 374, 5912, 706, 852, 12824, 416, 262, 2679, 12, 42872, 4095, 1448, 13690, 417, 13, 2293, 12047, 503, 286, 1524, 11, 339, 2067, 374, 5912, 287, 5878, 290, 788, 9141, 262, 2647, 8414, 9084, 36920, 72, 309, 25151, 4106, 5948, 7025, 416, 379, 85, 5581, 6518, 13, 198, 198, 40443, 1965, 284, 1702, 1461, 2647, 287, 262, 9084, 36920, 72, 3831, 4106, 5948, 8414, 11, 45322, 6520, 284, 11997, 351, 262, 5449, 338, 2581, 13, 16178, 11, 262, 9084, 36920, 72, 5495, 257, 4095, 1781, 656, 663, 11383, 13, 198, 198, 36, 681, 2540, 257, 1448, 351, 5256, 805, 12344, 30102, 3919, 33133, 2290, 11, 1900, 355, 45322, 1222, 5256, 805, 393, 5256, 805, 1222, 45322, 13, 2293, 14339, 465, 2422, 2139, 11, 287, 3050, 45322, 925, 257, 12199, 4095, 5062, 1444, 314, 16175, 521, 68, 3208, 21681, 13, 554, 2321, 11, 339, 3414, 326, 339, 561, 2650, 257, 649, 5062, 13, 679, 2921, 28565, 287, 34754, 108, 89, 10793, 11, 6031, 88, 38039, 461, 30102, 81, 290, 28760, 284, 7719, 428, 5062, 290, 2067, 1262, 262, 3800, 1438, 11220, 45322, 329, 465, 12199, 10050, 13, 198, 198, 36, 681, 2627, 1900, 319, 1919, 2056, 329, 465, 3496, 366, 36, 591, 1134, 412, 35424, 1911, 770, 3496, 2722, 546, 2319, 1510, 5341, 319, 7444, 287, 530, 1227, 11, 1642, 683, 262, 1596, 400, 749, 16399, 284, 9663, 6802, 286, 4793, 13, 198, 198, 3260, 257, 642, 12, 1941, 2270, 422, 2647, 11, 287, 1584, 45322, 3414, 257, 649, 5062, 739, 262, 412, 8895, 12, 38747, 7849, 7137, 6167, 13, 198, 198, 35393, 45322, 2716, 262, 5062, 22491, 11, 543, 3407, 860, 8339, 290, 1103, 12834, 11, 287, 2177, 13, 679, 1568, 44486, 23083, 465, 4381, 351, 262, 1664, 13, 198, 198, 818, 2864, 11, 45322, 5597, 290, 3199, 281, 11034, 10651, 329, 262, 1468, 3496, 22483, 12696, 13, 198, 198, 818, 2901, 13130, 11, 45322, 4504, 351, 262, 2610, 366, 44, 988, 272, 30102, 77, 22982, 27567, 1, 357, 42419, 286, 262, 9932, 518, 828, 543, 31621, 1417, 262, 9663, 4095, 3715, 290, 5734, 1718, 4031, 379, 50233, 588, 21034, 2978, 290, 3932, 376, 3529, 11, 4585, 606, 705, 65, 43256, 3256, 290, 9593, 257, 26441, 326, 8998, 284, 4474, 45322, 338, 18648, 625, 15064, 290, 7099, 50233, 25, 366, 464, 4870, 286, 262, 14359, 318, 736, 11, 1309, 338, 1011, 262, 11903, 572, 262, 2610, 1911, 554, 3389, 13130, 11, 262, 3496, 373, 2077, 866, 416, 26778, 2233, 284, 4260, 6634, 11734, 13, 383, 3496, 373, 757, 15032, 319, 26778, 287, 262, 976, 1227, 13, 383, 3496, 468, 3804, 939, 1510, 15190, 198, 198, 818, 12131, 11, 339, 2716, 257, 3704, 1444, 17431, 84, 509, 6392, 13, 47183, 11, 339, 2716, 1194, 2060, 1444, 34754, 108, 4352, 7745, 330, 30102, 76, 45138, 632, 11, 1231, 1642, 281, 8009, 13, 198, 198, 1544, 4488, 257, 2775, 351, 262, 11054, 17694, 4508, 287, 12131, 290, 3767, 262, 2775, 287, 33448, 13, 198, 198, 818, 33448, 11, 339, 2716, 257, 2769, 4803, 14, 2416, 3704, 1444, 366, 33481, 45983, 67, 30102, 76, 1, 11791, 416, 13004, 6755, 2724, 9910, 1192, 30102, 13, 198, 198, 2202, 3389, 678, 11, 33448, 11, 339, 2716, 262, 2610, 366, 42, 276, 5329, 1081, 9620, 6544, 76, 1031, 357, 34, 1381, 2094, 470, 1355, 317, 15218, 8, 1911, 198, 198, 15642, 4867, 198, 198, 2348, 4435, 82, 198, 198, 22648, 5861, 220, 198, 6244, 784, 16645, 320, 198, 4343, 784, 33516, 343, 198, 3050, 784, 34754, 108, 16175, 521, 68, 3208, 21681, 357, 8413, 844, 8, 198, 2813, 784, 6184, 229, 30102, 21841, 30102, 74, 575, 500, 575, 692, 3301, 198, 2177, 784, 4216, 72, 198, 2177, 784, 31250, 83, 9116, 82, 198, 7908, 532, 2129, 411, 19181, 19740, 43733, 357, 39520, 8, 198, 13130, 784, 42859, 272, 30102, 77, 22982, 27567, 198, 12131, 784, 17431, 84, 509, 6392, 198, 12131, 784, 34754, 108, 4352, 7745, 330, 30102, 76, 45138, 198, 1238, 2481, 532, 8510, 45983, 67, 30102, 76, 10117, 13, 21428, 2724, 9910, 1192, 30102, 198, 1238, 2481, 532, 509, 276, 5329, 1081, 9620, 6544, 76, 1031, 198, 198, 19927 ]

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

[ 1751, 20108, 4702, 705, 24571, 6, 1981, 5563, 625, 14184, 3474, 3392, 220, 198, 64, 9172, 543, 35545, 656, 28003, 13, 7735, 11, 339, 44846, 703, 1751, 779, 17841, 284, 13249, 546, 262, 5110, 2585, 286, 5384, 484, 389, 24986, 351, 13, 198, 198, 26959, 286, 38456, 220, 198, 6385, 2864, 11, 17233, 468, 587, 13630, 262, 5800, 286, 38456, 1781, 379, 2059, 286, 25040, 355, 880, 355, 584, 11155, 290, 5745, 13, 3401, 11978, 706, 262, 4388, 18430, 290, 262, 4599, 5155, 1781, 16862, 416, 40811, 28458, 379, 19681, 2059, 11, 262, 11383, 468, 587, 3402, 284, 2987, 5110, 880, 12, 11873, 290, 318, 262, 4308, 329, 262, 7823, 9905, 383, 38456, 13139, 12, 43223, 763, 12, 25579, 276, 416, 17233, 13, 198, 198, 15202, 12352, 220, 198, 39, 702, 468, 587, 11932, 287, 3783, 23424, 1201, 262, 3726, 286, 465, 3451, 13, 554, 3717, 11, 339, 3199, 465, 717, 2968, 3783, 1492, 12442, 41166, 25, 4162, 775, 32018, 287, 262, 791, 6667, 11203, 540, 13, 383, 1492, 18034, 703, 262, 1692, 3632, 18616, 23510, 25253, 9056, 13, 198, 39, 702, 11673, 326, 5384, 12572, 284, 366, 15255, 478, 7572, 287, 262, 995, 1, 290, 15738, 262, 22754, 1072, 355, 262, 366, 259, 565, 1883, 284, 13249, 326, 612, 389, 7104, 3386, 326, 2251, 262, 7572, 326, 356, 892, 356, 4886, 1911, 198, 4264, 11619, 284, 9208, 37972, 884, 355, 6219, 38922, 11, 17233, 318, 9431, 326, 23510, 25253, 9056, 389, 13203, 290, 772, 13205, 284, 5384, 13, 1114, 4554, 11, 339, 11673, 326, 6393, 1042, 318, 13205, 284, 1919, 12213, 11, 1201, 340, 3578, 5384, 284, 10980, 2134, 2649, 290, 11688, 49650, 284, 584, 5384, 13, 2102, 11, 17233, 4084, 1180, 32820, 1022, 14589, 290, 4158, 9056, 11, 810, 14589, 22239, 9056, 389, 26208, 9723, 1973, 13817, 290, 4158, 9056, 389, 30573, 2176, 13, 679, 635, 11673, 326, 14589, 23510, 25253, 9056, 466, 46276, 3455, 5384, 284, 4158, 9056, 13, 198, 198, 818, 2321, 11, 17233, 3199, 465, 1218, 2968, 3783, 1492, 383, 12189, 37697, 25, 4162, 612, 318, 645, 705, 5832, 6, 2641, 534, 1182, 357, 30271, 739, 262, 5559, 3670, 383, 12189, 37697, 25, 1374, 262, 1919, 3632, 8075, 5369, 287, 2253, 737, 554, 428, 1492, 11, 339, 11673, 326, 262, 1692, 2565, 286, 2116, 318, 257, 5678, 286, 262, 3632, 543, 42699, 13456, 290, 24986, 351, 262, 995, 13, 366, 8241, 356, 389, 553, 17233, 6797, 11, 366, 271, 257, 1621, 286, 674, 2116, 9746, 257, 12006, 8689, 326, 674, 3632, 8075, 1911, 11088, 3544, 257, 366, 64, 12941, 326, 3977, 3700, 9859, 1022, 262, 2116, 355, 366, 40, 1, 290, 366, 1326, 526, 3954, 10510, 286, 262, 2116, 287, 262, 994, 290, 783, 318, 262, 366, 40, 1, 290, 749, 286, 262, 640, 11, 356, 1998, 428, 355, 852, 281, 11521, 290, 24870, 1981, 784, 257, 1643, 588, 262, 2095, 287, 262, 1621, 13, 383, 2116, 543, 356, 1560, 1854, 546, 11, 318, 33136, 17046, 393, 262, 366, 1326, 1, 543, 757, 318, 257, 24870, 1848, 286, 508, 356, 892, 356, 389, 1912, 319, 1613, 6461, 11, 1459, 2995, 290, 27337, 329, 262, 2003, 526, 198, 198, 818, 3267, 2321, 11, 17233, 28964, 262, 995, 338, 4387, 29526, 4088, 6306, 329, 262, 7023, 286, 24698, 7411, 4751, 6809, 284, 10176, 262, 10733, 286, 3991, 9846, 13, 770, 373, 8720, 20915, 416, 262, 41559, 4897, 286, 13407, 287, 2211, 13, 198, 198, 39, 702, 338, 2368, 2968, 3783, 1492, 11, 383, 9666, 395, 3474, 14842, 11, 373, 3199, 287, 1946, 290, 25409, 262, 7669, 12, 66, 46610, 15587, 290, 6948, 286, 1919, 9172, 287, 5384, 13, 383, 1492, 338, 21554, 318, 326, 366, 2502, 262, 749, 2274, 6954, 11, 262, 938, 1160, 11, 830, 812, 1600, 5384, 423, 587, 366, 19738, 278, 1123, 584, 329, 10360, 9402, 9172, 290, 326, 468, 3421, 674, 14290, 290, 262, 835, 356, 1053, 1716, 517, 14873, 8682, 1911, 679, 5545, 428, 7243, 379, 383, 8111, 7023, 286, 11536, 11, 383, 8111, 7023, 290, 262, 1946, 11425, 1452, 2763, 5800, 11117, 13, 198, 198, 39, 702, 338, 749, 2274, 1492, 11, 29265, 6676, 25, 4162, 2141, 775, 16168, 3125, 17924, 775, 10664, 30, 3199, 287, 13130, 9405, 262, 10590, 11701, 2157, 625, 12, 5936, 24098, 290, 262, 2792, 1022, 2587, 1042, 290, 2116, 12, 738, 414, 2615, 319, 262, 4213, 286, 3977, 3700, 290, 11563, 3944, 74, 338, 705, 2302, 1631, 2116, 12, 43169, 4458, 198, 818, 3090, 284, 3835, 11, 17233, 468, 4120, 287, 6409, 2968, 3783, 31969, 11, 5243, 2523, 11, 3195, 2168, 290, 11648, 6918, 13, 554, 2813, 11, 17233, 373, 7147, 284, 1944, 262, 23566, 8111, 29426, 6786, 31209, 942, 9080, 21167, 3406, 14842, 383, 25917, 547, 717, 7025, 319, 7823, 19, 290, 757, 319, 7823, 17, 287, 2321, 13, 17233, 635, 4120, 287, 262, 5764, 12, 14463, 34286, 12, 22897, 560, 3807, 13728, 287, 262, 24002, 942, 6, 11303, 40492, 47, 6097, 7039, 17, 290, 7039, 3682, 389, 30724, 357, 51, 8, 362, 12, 940, 12, 15, 357, 88, 8, 13324, 33334, 313, 1083, 973, 416, 2165, 8135, 494, 509, 2305, 18015, 11243, 129, 226, 301, 42773, 68, 357, 8017, 680, 1812, 12950, 1322, 11, 29673, 47, 8, 422, 22458, 357, 3682, 8, 31719, 13, 1119, 389, 36763, 24560, 36299, 15386, 1398, 6740, 509, 48429, 6649, 482, 296, 313, 1469, 357, 5767, 33334, 313, 1083, 828, 2035, 9477, 649, 357, 25492, 3682, 828, 393, 1218, 4993, 357, 25492, 17, 828, 1719, 587, 3170, 1141, 2159, 1810, 2873, 287, 17590, 287, 867, 3427, 2678, 357, 27079, 290, 12030, 2678, 11, 1390, 12873, 8, 287, 22458, 1906, 41931, 13, 198, 198, 18122, 220, 198, 464, 4007, 286, 428, 27009, 11, 11721, 284, 6161, 290, 9314, 33334, 19138, 373, 284, 8076, 6787, 11926, 287, 262, 16771, 9477, 416, 262, 10467, 24560, 287, 262, 7627, 13, 8447, 11, 777, 33334, 313, 1083, 423, 6275, 18411, 32806, 290, 281, 41066, 3440, 286, 645, 517, 621, 837, 5086, 606, 284, 16500, 262, 3951, 351, 3595, 393, 13413, 27457, 8339, 13, 220, 198, 198, 3260, 262, 7433, 286, 262, 10467, 24560, 11, 1105, 2998, 33334, 313, 1083, 286, 428, 2168, 2067, 670, 319, 262, 29673, 47 ]

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

[ 24414, 1708, 262, 15818, 8851, 3723, 13, 198, 198, 818, 262, 1478, 400, 1906, 1433, 400, 10675, 262, 1989, 373, 257, 3641, 286, 26074, 321, 873, 6161, 11, 30043, 74, 14201, 482, 37973, 16202, 852, 663, 1266, 12, 4002, 1672, 13, 198, 198, 28489, 88, 198, 7004, 17080, 2012, 10274, 509, 6511, 13685, 620, 506, 287, 19882, 962, 14201, 482, 4783, 318, 262, 4387, 9920, 286, 4713, 25996, 5667, 287, 16952, 13, 3125, 621, 2026, 4, 286, 1778, 14636, 849, 1872, 338, 1478, 11, 23349, 374, 1872, 286, 25996, 49441, 389, 287, 10274, 509, 6511, 13685, 620, 506, 13, 383, 25996, 12835, 2831, 7560, 546, 27228, 1510, 275, 993, 83, 329, 262, 2055, 287, 2864, 13, 40058, 5667, 389, 973, 329, 27074, 2057, 301, 18058, 290, 28229, 884, 355, 6977, 278, 479, 81, 776, 506, 13, 19882, 962, 3937, 482, 9818, 1663, 479, 2290, 323, 256, 3216, 35484, 357, 10694, 64, 3652, 41907, 7484, 737, 383, 8234, 286, 428, 4295, 4693, 286, 25996, 318, 407, 17065, 355, 340, 318, 1336, 286, 11904, 13, 887, 262, 5667, 286, 479, 2290, 323, 256, 3216, 357, 19567, 223, 19567, 98, 31479, 231, 19567, 100, 19567, 95, 19567, 243, 19567, 110, 19567, 247, 19567, 113, 8, 389, 37768, 329, 511, 1588, 2546, 290, 35879, 13, 554, 2864, 11, 2319, 1957, 25996, 12835, 9818, 7042, 257, 1448, 11, 14770, 388, 15035, 3087, 461, 261, 1345, 64, 1516, 575, 1872, 11, 284, 4439, 3182, 1098, 9744, 540, 25996, 12835, 3084, 1574, 25, 13375, 290, 34796, 7317, 13, 4900, 262, 10219, 318, 287, 663, 1903, 9539, 11, 262, 1448, 423, 1541, 2722, 6266, 422, 16952, 290, 10522, 13, 198, 198, 41862, 1358, 198, 464, 4783, 318, 9086, 656, 1478, 850, 12, 17080, 2012, 82, 357, 83, 4131, 684, 828, 543, 389, 2252, 45944, 1384, 656, 24356, 15425, 357, 76, 549, 504, 737, 1778, 86, 962, 14201, 482, 318, 257, 3240, 357, 83, 956, 45094, 285, 518, 648, 8, 290, 8698, 256, 4131, 261, 337, 518, 648, 1778, 86, 962, 14201, 482, 13, 1318, 389, 257, 2252, 1511, 256, 4131, 261, 11553, 5745, 357, 5603, 46, 737, 198, 198, 19927, 198, 198, 41506, 6117, 198, 28474, 2577, 13, 785, 357, 817, 1872, 8, 198, 198, 50, 707, 962, 14201, 482, 464, 509, 10235, 27180, 88, 292, 7499, 393, 509, 10235, 75, 461, 3099, 12654, 28121, 357, 26, 3175, 72, 25, 479, 10235, 75, 8130, 12654, 73, 10235, 8, 389, 257, 1398, 286, 1081, 5330, 287, 20838, 290, 16397, 25871, 13, 1119, 547, 257, 3665, 11, 40831, 290, 12177, 19065, 286, 262, 360, 10235, 28341, 292, 13, 198, 198, 42, 10235, 75, 461, 10235, 290, 21624, 296, 10235, 198, 198, 464, 509, 10235, 27180, 88, 292, 547, 262, 25321, 286, 509, 10235, 75, 461, 10235, 11, 4957, 286, 569, 1872, 129, 249, 85, 10235, 77, 3301, 357, 1559, 286, 6035, 84, 737, 569, 1872, 129, 249, 85, 10235, 77, 3301, 550, 1115, 584, 4950, 14850, 25, 21624, 6086, 11, 3205, 324, 10235, 28341, 18962, 11, 290, 9075, 64, 129, 249, 343, 10235, 198, 198, 47, 377, 296, 10235, 373, 262, 1172, 268, 2072, 286, 1194, 19065, 286, 360, 10235, 28341, 292, 1444, 262, 366, 12041, 16911, 1911, 5747, 509, 10235, 75, 461, 10235, 290, 21624, 296, 10235, 547, 6405, 284, 11611, 129, 249, 88, 32678, 11, 351, 4150, 484, 18631, 24742, 7319, 18876, 360, 10235, 28341, 292, 13, 198, 198, 464, 2254, 286, 3561, 198, 198, 464, 509, 10235, 27180, 88, 292, 290, 262, 3362, 16911, 13768, 262, 1049, 1748, 286, 3869, 11, 367, 8704, 26292, 229, 88, 499, 5330, 13, 367, 8704, 26292, 229, 88, 499, 5330, 373, 257, 12462, 33258, 6766, 12, 19205, 2727, 416, 9718, 23940, 10235, 355, 257, 38181, 7520, 284, 509, 10235, 75, 461, 10235, 290, 21624, 296, 10235, 284, 1805, 511, 1751, 13, 198, 198, 818, 16397, 1042, 198, 198, 464, 41397, 286, 262, 509, 10235, 27180, 88, 292, 220, 198, 818, 262, 640, 286, 262, 7031, 3972, 25554, 64, 11, 612, 373, 281, 1081, 5330, 3706, 569, 26292, 249, 9535, 13, 569, 26292, 249, 9535, 290, 465, 20093, 11, 262, 509, 10235, 27180, 88, 292, 11, 547, 379, 1175, 351, 262, 6245, 292, 290, 6666, 606, 284, 8659, 9257, 13, 49886, 2627, 7744, 390, 35408, 13, 36900, 28803, 28310, 49886, 416, 20983, 683, 465, 1176, 11, 284, 543, 262, 584, 11858, 7082, 416, 20983, 257, 6903, 286, 511, 898, 1176, 13, 383, 220, 26292, 248, 26292, 96, 271, 3940, 6050, 416, 23553, 278, 511, 2568, 355, 880, 11, 4955, 49886, 351, 1576, 1176, 284, 5719, 421, 680, 569, 26292, 249, 9535, 13, 2080, 262, 6133, 286, 465, 18680, 410, 1228, 430, 11, 49886, 5257, 284, 42596, 262, 1081, 5330, 5822, 13, 220, 198, 198, 464, 509, 10235, 27180, 88, 292, 11468, 290, 24519, 287, 262, 5417, 11, 810, 484, 37515, 1028, 883, 508, 24816, 33738, 290, 10570, 5139, 1042, 13, 1119, 561, 3520, 287, 262, 5417, 1141, 262, 1110, 290, 1282, 503, 379, 1755, 287, 1502, 284, 17968, 290, 15000, 264, 1095, 290, 1709, 10235, 21720, 26292, 229, 292, 287, 262, 15925, 286, 4158, 3357, 13, 554, 2882, 284, 428, 36212, 11, 262, 6245, 292, 10448, 36900, 28803, 290, 9167, 683, 284, 1037, 606, 13, 220, 198, 198, 53, 680, 28803, 4893, 326, 262, 509, 10235, 27180, 88, 292, 550, 7104, 2405, 287, 262, 9151, 290, 714, 407, 307, 3538, 9772, 13, 679, 7151, 326, 262, 6245, 292, 5380, 262, 1037, 286, 262, 35021, 2449, 459, 3972, 287, 1502, 284, 5894, 510, 262, 5417, 13, 198, 198, 10262, 459, 3972, 24070, 477, 286, 262, 1660, 287, 262, 5417, 1566, 340, 2627, 5894, 11, 13477, 262, 7104, 509, 10235, 27180, 88, 292, 13, 383, 6245, 292, 41680, 262, 1081, 17786, 2210, 273, 6819, 13, 5845, 508, 11803, 11468, 11447, 656, 350, 10235, 83, 10235, 5031, 13, 2080, 262, 509, 10235, 27180, 88, 292, 9772, 11, 262, 6245, 292, 1965, 2449, 459, 3972, 284, 35278, 680, 262, 9151, 11, 284, 543, 339, 8712, 326, 339, 714, 407, 11, 355, 339, 550, 3100, 7287, 262, 1660, 13, 8304, 6302, 416, 428, 2218, 11, 262, 6245, 292, 24057, 284, 262, 450, 1098, 286, 9718, 23940, 10235, 284, 2112, 262, 19414 ]

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

[ 1229, 282, 37311, 24044, 764, 8499, 257, 640, 837, 1242, 44372, 373, 1775, 284, 5298, 465, 427, 363, 1360, 837, 47599, 1182, 837, 290, 284, 423, 475, 530, 2471, 16260, 1522, 1735, 837, 407, 845, 2769, 837, 257, 11607, 263, 1865, 991, 33826, 306, 1527, 41101, 764, 258, 6941, 22739, 764, 1169, 36164, 494, 390, 6, 346, 5145, 11261, 465, 5848, 384, 10567, 837, 4356, 903, 837, 4807, 469, 837, 10622, 290, 599, 2454, 287, 2042, 395, 5968, 5145, 5145, 5145, 5145, 1820, 12377, 364, 1718, 1242, 44372, 503, 262, 25155, 3420, 319, 262, 3996, 1990, 3902, 3996, 354, 16368, 2162, 339, 37964, 290, 25421, 1244, 813, 837, 11354, 420, 6819, 37432, 510, 5415, 1534, 272, 871, 379, 262, 7613, 290, 6253, 278, 1466, 837, 508, 763, 78, 276, 29732, 306, 290, 763, 421, 3087, 29735, 284, 12259, 683, 866, 764, 23108, 714, 466, 257, 8951, 329, 14186, 302, 44636, 262, 12711, 837, 3613, 49671, 2162, 339, 373, 1900, 284, 514, 691, 355, 257, 3756, 20729, 12711, 286, 5366, 599, 391, 837, 290, 257, 1964, 20685, 284, 514, 287, 262, 1989, 764, 1326, 415, 999, 262, 9950, 30779, 16195, 837, 1231, 2128, 837, 26843, 287, 5968, 680, 837, 3076, 6058, 290, 16021, 13332, 837, 12748, 1418, 2434, 284, 262, 3061, 764, 14363, 6028, 17049, 46529, 14129, 40908, 278, 3154, 12, 25826, 290, 2266, 306, 837, 465, 12445, 12749, 44722, 4478, 837, 339, 2727, 257, 28236, 23458, 3275, 286, 18149, 477, 625, 262, 14787, 12, 13466, 1809, 276, 7815, 837, 6546, 306, 467, 2577, 88, 351, 9583, 290, 288, 49470, 514, 351, 32911, 12, 6649, 524, 764, 14363, 886, 373, 2431, 1969, 764, 8505, 764, 565, 19296, 837, 1312, 965, 2860, 992, 465, 21304, 764, 72, 18288, 306, 13818, 764, 15506, 1312, 466, 29093, 2911, 837, 10148, 1312, 1807, 257, 705, 18842, 7046, 837, 7559, 326, 428, 13526, 837, 10319, 837, 3655, 83, 29823, 31030, 68, 15347, 387, 705, 587, 17700, 306, 3772, 837, 319, 262, 783, 5633, 1719, 28681, 477, 465, 749, 8805, 11128, 15997, 764, 10148, 361, 705, 83, 5633, 5600, 550, 764, 1640, 340, 705, 67, 387, 705, 587, 616, 1204, 339, 705, 67, 10348, 837, 1312, 561, 387, 705, 1760, 625, 351, 340, 284, 1365, 465, 8395, 379, 6164, 837, 339, 550, 3402, 2241, 523, 880, 764, 5661, 1312, 1239, 2497, 757, 764, 82, 16557, 1712, 1312, 837, 355, 996, 852, 43389, 1657, 3101, 12, 19554, 694, 837, 18939, 290, 14245, 43363, 284, 616, 3656, 705, 82, 1944, 555, 48544, 306, 1181, 837, 543, 550, 3947, 523, 3993, 813, 3288, 284, 514, 422, 674, 7773, 9672, 4136, 1626, 262, 18176, 290, 20484, 2493, 3713, 764, 8117, 547, 1541, 262, 491, 363, 624, 282, 2636, 302, 44636, 284, 24351, 351, 837, 290, 5938, 12, 65, 7287, 1242, 44372, 764, 32125, 32405, 545, 18713, 837, 340, 857, 299, 470, 2300, 12615, 7819, 2636, 1336, 12, 9342, 284, 423, 5615, 329, 616, 4958, 373, 262, 18822, 6721, 764, 993, 12, 1820, 3656, 5145, 8117, 5633, 547, 5633, 2130, 2073, 5938, 355, 880, 764, 1525, 2402, 616, 23994, 33919, 262, 16452, 2272, 286, 4314, 625, 284, 262, 2160, 457, 5623, 13970, 286, 616, 6029, 12, 65, 630, 704, 1862, 22700, 3656, 290, 8308, 14364, 457, 498, 276, 26619, 837, 1312, 1043, 607, 2636, 290, 38427, 621, 257, 19074, 34515, 75, 42497, 764, 1820, 16927, 5633, 616, 474, 377, 1155, 660, 5633, 1820, 1200, 5633, 372, 26156, 5848, 36974, 47994, 373, 11468, 284, 14880, 34446, 837, 848, 11857, 378, 9538, 5145, 1462, 262, 4511, 286, 7480, 8717, 837, 810, 816, 273, 10950, 1312, 561, 1239, 10925, 284, 3067, 837, 852, 3589, 257, 880, 12, 48937, 6605, 837, 20200, 11406, 5822, 837, 290, 21854, 837, 290, 523, 3675, 477, 8850, 18016, 475, 262, 477, 993, 705, 82, 764, 8727, 5600, 373, 428, 7559, 477, 993, 10148, 837, 290, 644, 373, 339, 329, 5633, 392, 618, 5633, 8524, 5633, 262, 12659, 31322, 287, 607, 19551, 12, 9654, 2612, 373, 5071, 837, 416, 3589, 837, 645, 1342, 837, 351, 607, 2910, 1203, 2832, 12908, 546, 340, 837, 588, 257, 31738, 5633, 15175, 2945, 5633, 30, 607, 10218, 705, 82, 2910, 319, 616, 14934, 12, 40372, 2832, 837, 8966, 7855, 588, 257, 4587, 5102, 45575, 6473, 837, 1312, 374, 993, 805, 21065, 837, 355, 39796, 395, 9234, 290, 8805, 805, 837, 1625, 43170, 736, 837, 287, 848, 33715, 21799, 14404, 290, 5259, 5109, 3685, 357, 294, 463, 294, 463, 294, 2954, 294, 463, 1267, 837, 284, 262, 23292, 306, 33850, 36164, 4489, 34166, 837, 25635, 616, 13964, 629, 320, 9459, 355, 611, 340, 547, 281, 12833, 12, 18664, 4623, 285, 558, 5145, 5145, 5145, 392, 523, 750, 1312, 262, 3595, 837, 35064, 626, 276, 837, 1865, 991, 1895, 1346, 9950, 21580, 1352, 837, 2626, 290, 12105, 284, 7559, 477, 993, 10148, 319, 262, 14787, 88, 4692, 4314, 837, 262, 6590, 2139, 286, 616, 6156, 290, 517, 621, 12872, 4596, 19775, 13572, 764, 72, 2921, 683, 357, 257, 36607, 36607, 36607, 36607, 36607, 1267, 262, 1960, 5374, 400, 261, 837, 4506, 5316, 339, 550, 523, 6487, 1346, 9167, 290, 523, 30040, 20143, 837, 555, 12, 40871, 12, 3364, 12, 306, 3501, 477, 465, 18359, 1862, 308, 21872, 275, 27792, 1204, 3371, 340, 837, 290, 616, 14081, 1862, 3656, 705, 82, 355, 635, 5145, 72, 42459, 257, 22751, 290, 26811, 12, 48916, 3335, 837, 351, 262, 543, 1312, 1790, 12, 36007, 21715, 306, 339, 19103, 644, 5637, 1310, 48927, 373, 1364, 656, 2323, 12, 929, 8156, 12, 41495, 1364, 12, 2502, 410, 6456, 2057, 764, 8727, 550, 1813, 502, 428, 5633, 1662, 13318, 845, 881, 2861, 5486, 286, 547, 220, 528, 421, 959, 4598, 2162, 475, 705, 4246, 567, 38779, 13806, 764, 1659, 26044, 1781, 5145, 1640, 326, 837, 1312, 25421, 290, 43465, 1740, 7078, 12, 82, 24080, 287, 27878, 2612, 12, 1156, 276, 18641, 837, 38879, 837, 44298, 287, 34232, 469, 1453, 68, 5145, 5145, 5145, 8117, 373, 645, 835, 284, 11543, 428, 19074, 1517, 2427, 837, 329, 1528, 319, 886, 837, 823, 3929, 465, 5445, 357, 393, 555, 25826, 1267, 7433, 837, 9944, 287, 1502, 284, 787, 257, 2968, 837, 30304, 837, 290, 29301, 837, 1672, 286, 683, 764, 3919 ]

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

[ 21406, 11, 15115, 1623, 21348, 531, 11, 366, 19209, 870, 734, 12834, 290, 257, 2060, 3809, 357, 42, 15386, 1595, 470, 1702, 379, 477, 8, 10969, 645, 1049, 6276, 6459, 11, 3367, 1146, 5486, 11, 475, 262, 8296, 286, 428, 3945, 12113, 905, 11, 43097, 416, 11949, 1757, 37194, 11, 407, 691, 17591, 262, 4628, 4679, 286, 262, 12834, 475, 262, 32699, 286, 262, 2854, 287, 262, 734, 7319, 5852, 14359, 13, 5689, 31486, 86, 2265, 338, 45116, 43759, 262, 3288, 12172, 283, 5067, 494, 286, 262, 734, 17245, 287, 477, 663, 5897, 13476, 355, 880, 526, 198, 198, 2202, 1439, 28965, 11, 3977, 371, 7456, 75, 9038, 531, 11, 366, 1026, 561, 307, 3621, 284, 307, 1498, 284, 989, 326, 319, 644, 318, 262, 11706, 1517, 284, 257, 1103, 12199, 5062, 287, 13075, 18555, 338, 18388, 11, 339, 1718, 262, 3663, 284, 36437, 290, 37825, 858, 465, 2647, 11, 475, 326, 338, 407, 262, 1339, 994, 13, 7831, 11, 18555, 3296, 481, 7062, 262, 23708, 18818, 866, 3450, 286, 262, 2854, 13, 632, 1107, 318, 355, 1969, 284, 705, 37424, 13075, 6, 355, 484, 389, 1884, 284, 651, 526, 198, 198, 818, 383, 7849, 8315, 11, 1757, 3395, 89, 1362, 2630, 11, 27896, 286, 477, 262, 11057, 326, 18555, 925, 351, 2035, 262, 44249, 5542, 393, 465, 867, 1735, 4493, 11, 340, 447, 247, 82, 1327, 284, 5967, 326, 597, 286, 606, 11644, 1522, 257, 10038, 326, 373, 517, 16584, 621, 465, 2859, 42394, 351, 42264, 287, 1903, 12113, 13, 1892, 12362, 11, 262, 16974, 6843, 287, 262, 17129, 13075, 2168, 1690, 18533, 262, 1633, 286, 257, 2376, 12, 12463, 13605, 8296, 11, 18244, 530, 326, 22103, 3938, 4166, 3496, 8573, 290, 39072, 987, 1759, 1022, 262, 734, 17245, 526, 198, 198, 2202, 449, 4131, 1746, 13, 785, 11, 8403, 44117, 531, 11, 366, 32, 2060, 1221, 11, 1105, 12, 34050, 6011, 11, 4709, 13, 807, 318, 655, 13075, 290, 465, 718, 12, 8841, 15804, 9862, 351, 15076, 12702, 24407, 1757, 42264, 4769, 866, 262, 1877, 886, 13, 383, 4506, 35940, 4710, 3068, 262, 7310, 3518, 40467, 290, 3917, 6276, 6459, 286, 262, 2656, 18159, 11, 475, 262, 5201, 1720, 318, 257, 3734, 530, 7268, 655, 1576, 266, 5889, 11, 15488, 11, 4315, 7838, 11, 781, 549, 3077, 4710, 11, 290, 3809, 23217, 284, 307, 1103, 526, 198, 198, 2202, 383, 6705, 3226, 15887, 11, 14488, 10452, 531, 11, 366, 1212, 734, 582, 4097, 1627, 12, 929, 3607, 262, 24783, 257, 1180, 1254, 286, 13075, 338, 10047, 2712, 621, 287, 597, 584, 4634, 393, 8213, 1627, 12, 929, 351, 691, 262, 26071, 12702, 9489, 351, 683, 13, 8447, 11, 345, 460, 3285, 465, 14405, 9383, 7572, 290, 10047, 374, 10203, 10338, 13, 632, 1728, 1838, 329, 257, 845, 11, 845, 922, 6004, 1106, 383, 5202, 286, 17090, 262, 4569, 2587, 1306, 284, 262, 18555, 14, 38803, 47324, 905, 703, 511, 3597, 3918, 318, 7138, 287, 14009, 351, 262, 4569, 1605, 2647, 13, 34663, 606, 1735, 416, 1735, 3607, 262, 24783, 2081, 19163, 286, 428, 526, 198, 198, 24802, 13487, 198, 5962, 900, 25, 198, 1, 29744, 412, 10671, 15261, 1, 357, 36380, 8, 784, 718, 25, 1433, 198, 1, 22253, 14668, 494, 1, 357, 36380, 8, 784, 604, 25, 1120, 198, 1, 23331, 286, 262, 10489, 1, 357, 43462, 18555, 11, 1757, 32801, 11, 5199, 9055, 8, 784, 718, 25, 1129, 198, 1, 2215, 314, 23467, 2011, 5599, 12239, 1, 357, 18861, 21371, 8, 784, 718, 25, 486, 198, 1, 4561, 522, 12434, 15261, 1, 357, 17140, 747, 12715, 1757, 42566, 8, 784, 604, 25, 3553, 198, 1, 10987, 329, 262, 41244, 1, 357, 38, 5605, 544, 11, 9055, 8, 784, 604, 25, 4349, 198, 12211, 900, 25, 198, 1, 35, 557, 8662, 1, 357, 38, 5605, 544, 11, 9055, 8, 784, 513, 25, 2624, 198, 1, 14295, 12, 64, 12, 49, 2577, 1, 357, 36380, 8, 784, 604, 25, 2481, 198, 1, 5812, 49624, 11, 632, 31899, 470, 1400, 12060, 1, 357, 43568, 327, 4728, 8, 784, 642, 25, 2481, 198, 1, 42562, 10940, 1, 357, 38, 5605, 56, 64, 283, 41626, 88, 4121, 7499, 318, 257, 25177, 3942, 32519, 12, 16129, 10997, 2646, 7924, 416, 309, 13, 371, 13, 371, 10471, 403, 776, 13, 317, 28763, 286, 262, 14964, 7344, 2646, 609, 258, 1636, 11611, 283, 357, 1129, 4051, 828, 340, 5788, 35495, 402, 7305, 272, 11, 509, 13, 8858, 49510, 11, 399, 13, 311, 13, 31372, 12647, 11, 309, 13, 317, 13, 16320, 333, 321, 290, 40355, 4068, 72, 13, 383, 2646, 38228, 1088, 262, 4040, 286, 257, 2244, 3678, 2933, 284, 1064, 465, 3397, 13, 26421, 283, 41626, 88, 4121, 373, 2716, 319, 2608, 2901, 25177, 290, 9349, 257, 1943, 13, 198, 198, 43328, 220, 198, 43920, 72, 11, 257, 1862, 2933, 11, 857, 407, 760, 508, 465, 3397, 389, 11, 290, 468, 587, 2045, 37952, 329, 606, 13, 2893, 5586, 287, 257, 3952, 7624, 11, 23676, 72, 7893, 262, 582, 21639, 13970, 683, 465, 1438, 13, 1649, 262, 582, 20718, 2241, 355, 3309, 283, 283, 1228, 272, 11, 23676, 72, 24183, 326, 339, 318, 465, 2988, 13, 770, 10975, 3309, 283, 283, 1228, 272, 338, 1204, 11, 772, 4587, 11608, 465, 3352, 286, 34862, 406, 30921, 11, 465, 18854, 13, 383, 1893, 286, 257, 5110, 4436, 351, 257, 14946, 12, 320, 27753, 4957, 8075, 517, 5876, 329, 3309, 283, 283, 1228, 272, 13, 24199, 11, 262, 3872, 546, 23676, 72, 338, 2560, 496, 318, 4602, 25, 339, 318, 262, 41368, 3367, 286, 26105, 11, 257, 10686, 11, 290, 262, 9958, 2802, 5364, 7341, 11, 4305, 23676, 72, 2244, 3678, 13, 3460, 20216, 284, 23676, 72, 11, 3309, 283, 283, 1228, 272, 290, 406, 30921, 5409, 284, 11206, 683, 355, 511, 898, 3367, 13, 198, 198, 19248, 220, 198, 35495, 402, 7305, 272, 355, 3309, 283, 283, 1228, 272, 198, 509, 13, 8858, 49510, 355, 406, 30921, 198, 399, 13, 311, 13, 31372, 12647, 355, 50224, 292, 14814, 32878, 71, 7344, 88, 283, 198, 309, 13, 317, 13, 16320, 333, 321, 355, 1024, 452, 11729, 272, 1872, 198, 40355, 4068, 72, 355, 23676, 72, 198, 337, 13, 509, 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 ]

[ 284, 1223, 625, 720, 7982, 1510, 764, 392, 530, 2368, 286, 326, 837, 880, 837, 465, 3632, 37785, 290, 465, 14475, 1816, 4939, 764, 15506, 857, 262, 1664, 760, 703, 867, 286, 777, 2663, 6211, 6428, 25114, 31155, 5633, 10148, 2093, 276, 275, 1142, 494, 422, 275, 5744, 764, 15506, 645, 837, 484, 466, 299, 470, 764, 24571, 1266, 4724, 318, 546, 530, 1411, 764, 10148, 15506, 326, 705, 82, 1936, 3470, 2663, 764, 10148, 15506, 379, 257, 5288, 286, 257, 1510, 24780, 1123, 764, 10148, 15506, 326, 705, 82, 1194, 2063, 2997, 764, 10148, 15506, 257, 1510, 24780, 318, 257, 9707, 764, 10148, 15506, 1936, 1510, 257, 1461, 287, 384, 1999, 764, 10148, 15506, 356, 705, 260, 3375, 41545, 1918, 837, 994, 764, 10148, 1662, 12362, 837, 1123, 6853, 550, 281, 4459, 284, 2897, 290, 484, 750, 523, 11640, 764, 12518, 48718, 15032, 1502, 837, 339, 531, 837, 7559, 28527, 837, 1309, 705, 82, 4483, 764, 10148, 67, 5083, 373, 257, 49023, 764, 1169, 17423, 2119, 3084, 373, 257, 38677, 286, 23895, 4898, 326, 1625, 422, 530, 5509, 837, 530, 4490, 290, 45308, 2266, 31377, 326, 550, 6204, 329, 10675, 1566, 340, 373, 2622, 416, 11574, 45630, 64, 764, 265, 1551, 16571, 661, 714, 4483, 1088, 340, 379, 530, 640, 764, 8117, 547, 29095, 329, 8073, 837, 290, 32773, 484, 550, 587, 4104, 503, 764, 847, 3083, 837, 2130, 1244, 423, 8754, 257, 10862, 764, 259, 257, 2119, 1336, 286, 781, 4131, 726, 415, 29206, 418, 837, 810, 2506, 373, 262, 6000, 6853, 5770, 2727, 837, 262, 749, 43283, 2344, 21454, 373, 2210, 273, 479, 13, 275, 918, 12647, 837, 257, 7812, 290, 665, 648, 88, 48659, 272, 422, 289, 6526, 764, 261, 262, 2368, 393, 5544, 8237, 837, 546, 19487, 832, 262, 6546, 2876, 4730, 837, 275, 918, 12647, 2540, 18705, 546, 884, 1877, 9027, 329, 1123, 1981, 1339, 764, 258, 550, 257, 16571, 12, 1941, 12, 727, 5456, 508, 925, 1263, 24780, 290, 783, 550, 6428, 25114, 31155, 837, 5176, 284, 288, 2645, 11205, 764, 15506, 1312, 460, 651, 3478, 1510, 4036, 290, 8208, 1510, 32952, 422, 597, 9002, 287, 48659, 292, 837, 10148, 339, 32758, 764, 1712, 286, 262, 1854, 4987, 351, 428, 764, 11246, 772, 530, 12, 84, 1496, 416, 8512, 326, 484, 714, 651, 517, 319, 511, 1363, 29553, 764, 69, 3532, 2714, 4081, 351, 262, 4583, 326, 611, 257, 1178, 1392, 5242, 788, 262, 14568, 561, 651, 1310, 764, 65, 918, 12647, 750, 299, 470, 2822, 428, 475, 550, 5876, 50043, 262, 4578, 764, 258, 550, 257, 13443, 9495, 326, 257, 694, 2224, 27887, 550, 881, 517, 5003, 621, 340, 373, 4478, 764, 1169, 1448, 9086, 319, 428, 966, 837, 475, 262, 3951, 14869, 523, 3049, 290, 262, 300, 726, 10355, 547, 523, 8584, 326, 21558, 550, 5876, 13213, 810, 749, 286, 606, 6204, 764, 69, 3532, 12827, 275, 918, 12647, 319, 465, 1624, 326, 32952, 12616, 561, 307, 523, 2562, 284, 5879, 764, 15506, 345, 1392, 262, 4963, 837, 826, 5633, 10148, 65, 918, 12647, 1965, 764, 15506, 21558, 468, 2810, 617, 4963, 764, 441, 2224, 857, 299, 470, 760, 340, 1865, 764, 5832, 6510, 423, 407, 1775, 606, 764, 392, 3863, 345, 24486, 299, 470, 611, 345, 466, 299, 470, 2652, 287, 262, 1398, 764, 10148, 1169, 23110, 290, 43378, 5025, 355, 477, 38741, 357, 21558, 15009, 1267, 2067, 22187, 379, 1752, 764, 1169, 4043, 364, 1364, 262, 2119, 764, 565, 323, 714, 2048, 766, 606, 736, 287, 262, 9592, 837, 289, 2954, 1586, 1877, 2157, 262, 3143, 8893, 764, 65, 918, 12647, 2227, 284, 1907, 2130, 764, 86, 274, 473, 5753, 8396, 373, 299, 470, 12285, 866, 764, 1169, 3303, 44525, 764, 392, 287, 262, 15925, 286, 262, 374, 1347, 385, 837, 21558, 3114, 379, 262, 886, 286, 262, 3084, 290, 2497, 279, 38680, 48718, 26300, 257, 8237, 20721, 837, 1011, 257, 31145, 837, 1969, 465, 2951, 837, 290, 13446, 1865, 1194, 649, 8237, 764, 4919, 867, 286, 777, 11418, 550, 48718, 3332, 832, 5633, 26949, 257, 3470, 764, 565, 323, 2005, 257, 13197, 286, 26320, 764, 12518, 1243, 10282, 866, 837, 275, 1142, 494, 422, 275, 5744, 1297, 257, 9707, 546, 257, 32171, 4160, 11503, 290, 262, 2119, 23681, 287, 20263, 764, 19425, 290, 8237, 547, 8359, 329, 546, 1936, 2431, 1566, 435, 4835, 422, 284, 431, 4914, 5220, 262, 4811, 286, 10833, 257, 694, 2224, 27887, 656, 17235, 764, 258, 550, 1760, 340, 5403, 837, 284, 584, 2706, 837, 351, 29962, 2482, 764, 16885, 1661, 262, 2496, 2706, 550, 973, 262, 17235, 3657, 284, 9580, 511, 6341, 290, 584, 29714, 837, 4145, 4955, 517, 5003, 329, 435, 4835, 290, 465, 4138, 286, 7534, 764, 25591, 6886, 21346, 511, 4786, 837, 284, 543, 435, 4835, 1718, 6907, 837, 290, 2582, 612, 373, 1194, 1907, 764, 9930, 8350, 625, 2279, 532, 4963, 757, 837, 1771, 393, 407, 284, 1803, 329, 257, 4473, 981, 15482, 257, 2068, 9443, 837, 29553, 837, 3991, 8560, 837, 703, 284, 2835, 510, 262, 584, 2663, 837, 9307, 837, 6642, 764, 565, 323, 705, 82, 11384, 373, 287, 33620, 290, 339, 1239, 531, 257, 1573, 764, 1169, 1334, 3947, 284, 2883, 511, 2057, 29731, 981, 6872, 319, 734, 393, 1115, 7159, 11640, 764, 23100, 1240, 837, 21558, 1297, 2241, 764, 8499, 262, 14069, 8073, 286, 21558, 705, 82, 1204, 837, 48718, 2957, 606, 34624, 837, 736, 284, 262, 2855, 72, 1371, 2119, 810, 262, 8866, 330, 290, 517, 33204, 547, 4953, 764, 25591, 508, 550, 587, 38372, 379, 1123, 584, 329, 1115, 2250, 547, 783, 7722, 290, 14376, 588, 32474, 9397, 764, 265, 262, 717, 3663, 837, 21558, 10505, 4335, 1497, 290, 837, 706, 11091, 3626, 837, 1043, 465, 2119, 764, 1169, 2318, 563, 290, 3971, 563, 905, 373, 7530, 329, 838, 257, 13, 76, 13, 264, 3658, 3329, 837, 640, 329, 2506, 284, 3993, 572, 262, 8181, 13801, 290, 28504, 866, 257, 4334, 12607, 764, 69, 3532, 550, 925, 1695, 49411, 12478, 290, 6146, 316, 4395, 837, 6159, 286, 543, 9859, 257, 2060, 6853, 764, 5657, 563, 290, 3971, 563, 550, 257, 1664, 287, 649, 331, 967, 326, 750, 2147, 475, 16602, 262, 20903, 286, 2496, 2706, 764, 9930 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2677, 1757, 2873, 284, 4404, 36746, 9500, 390, 1052, 11729, 220, 878, 262, 20461, 282, 2184, 13, 220, 1052, 11729, 550, 587, 40437, 9112, 284, 28697, 35302, 290, 373, 287, 3514, 286, 852, 1207, 1335, 13, 220, 1052, 11729, 550, 635, 587, 262, 9119, 286, 262, 5535, 286, 520, 13, 44414, 349, 28030, 11, 286, 543, 337, 12627, 550, 587, 257, 2888, 13, 337, 12627, 788, 6150, 287, 10598, 3690, 262, 20461, 1590, 286, 13258, 24532, 8363, 13, 383, 7526, 286, 5833, 576, 11, 810, 337, 12627, 20973, 11, 6150, 9112, 284, 24532, 11, 981, 262, 12223, 286, 943, 1840, 4855, 3738, 541, 3008, 29721, 569, 13, 220, 220, 337, 12627, 373, 530, 286, 262, 662, 75, 689, 508, 7997, 13258, 24532, 355, 281, 39137, 284, 290, 15373, 1893, 286, 262, 4281, 286, 6455, 417, 287, 1478, 2624, 13, 679, 635, 6793, 281, 393, 341, 284, 262, 6745, 286, 8378, 286, 262, 26850, 13, 1629, 262, 886, 286, 1478, 2624, 11, 13258, 24532, 9899, 337, 12627, 38938, 286, 262, 7993, 371, 4265, 26, 220, 339, 1718, 465, 17865, 286, 2607, 319, 2242, 3269, 1478, 2091, 13, 679, 3767, 284, 5517, 262, 2163, 329, 16571, 812, 13, 220, 383, 13258, 635, 3706, 683, 5579, 2934, 7807, 286, 14708, 13, 198, 198, 44, 12627, 635, 4983, 355, 842, 298, 286, 262, 19295, 4160, 7507, 48324, 8042, 13, 198, 198, 33, 10124, 198, 2202, 3035, 1105, 11, 1478, 2682, 11, 262, 41756, 6843, 286, 262, 1004, 18840, 32536, 7018, 337, 12627, 16559, 286, 1004, 18840, 11, 284, 6330, 16559, 17136, 26666, 390, 327, 385, 42124, 508, 550, 587, 11172, 284, 262, 766, 286, 8834, 2611, 13, 16559, 327, 385, 42124, 11, 2158, 11, 7392, 465, 4351, 11, 3756, 284, 16852, 390, 337, 12627, 852, 25121, 16559, 286, 1004, 18840, 319, 2932, 2608, 11, 1478, 2718, 13, 220, 24581, 428, 2278, 11, 2158, 11, 339, 3767, 284, 26412, 287, 10598, 13, 554, 49557, 11320, 390, 337, 12627, 2627, 24233, 286, 38343, 5799, 11, 257, 2292, 339, 2714, 1566, 1478, 2996, 13, 198, 198, 33, 10124, 337, 12627, 14888, 287, 262, 4281, 286, 28537, 13, 220, 679, 373, 257, 2888, 286, 262, 5810, 326, 15937, 262, 20461, 282, 6473, 4689, 316, 298, 333, 327, 3010, 72, 11, 543, 7482, 284, 15398, 578, 262, 9133, 4564, 290, 262, 8312, 4564, 13, 220, 770, 6473, 8724, 287, 262, 8009, 286, 15398, 2649, 379, 28537, 32536, 319, 2901, 718, 11, 1478, 2670, 13, 220, 16559, 12, 19453, 390, 337, 12627, 4488, 262, 2457, 5255, 274, 319, 718, 2901, 1478, 2670, 25, 412, 2188, 27853, 1236, 274, 390, 337, 12627, 6216, 7240, 15778, 268, 13, 5294, 380, 862, 72, 13, 198, 198, 44, 12627, 373, 11172, 284, 262, 766, 286, 38343, 5799, 319, 3035, 718, 11, 49557, 11, 981, 465, 3956, 31063, 2627, 37419, 24233, 290, 20429, 283, 2276, 286, 1004, 18840, 287, 465, 1295, 13, 220, 554, 38343, 5799, 32536, 337, 12627, 44134, 262, 43398, 286, 2986, 314, 335, 891, 26666, 357, 2197, 1900, 355, 262, 1451, 5049, 1619, 2657, 268, 282, 706, 683, 8, 351, 1936, 17792, 25638, 3171, 290, 281, 18890, 416, 31063, 5027, 1455, 78, 13, 198, 198, 818, 1478, 2816, 11, 16559, 390, 337, 12627, 373, 287, 370, 12204, 41615, 707, 11, 810, 339, 5952, 257, 2184, 1339, 7411, 262, 5675, 5599, 286, 262, 1665, 315, 9229, 15188, 290, 465, 7481, 11, 290, 1043, 329, 262, 1966, 13, 220, 679, 290, 262, 16559, 286, 370, 12204, 41615, 707, 2722, 257, 3850, 422, 13258, 2199, 6346, 385, 6711, 4227, 4035, 511, 2551, 13, 198, 198, 16962, 1292, 198, 818, 262, 3473, 652, 286, 3426, 1596, 11, 1478, 3980, 11, 13258, 4889, 6346, 385, 6711, 925, 337, 12627, 257, 38691, 13, 220, 679, 2722, 262, 2266, 6877, 290, 262, 5259, 934, 4928, 286, 8909, 1736, 2304, 64, 319, 3426, 1248, 11, 1478, 3980, 13, 337, 12627, 373, 1900, 355, 262, 25564, 286, 38343, 5799, 13, 220, 554, 2805, 1478, 2996, 339, 373, 11172, 284, 262, 3670, 286, 2986, 41721, 287, 5245, 292, 78, 198, 198, 16962, 1292, 337, 12627, 14888, 287, 262, 20461, 282, 369, 44281, 286, 1478, 3365, 326, 7018, 13258, 350, 3754, 2873, 13, 220, 679, 1568, 14888, 287, 262, 20461, 282, 369, 44281, 286, 1478, 2414, 326, 7018, 13258, 3362, 2873, 13, 220, 220, 220, 337, 12627, 4983, 355, 8014, 75, 1516, 78, 286, 262, 17380, 5535, 286, 18071, 464, 39571, 1810, 318, 257, 2321, 1605, 11648, 2646, 3194, 290, 7924, 416, 23965, 11740, 290, 4635, 416, 14235, 1168, 959, 278, 290, 43544, 2677, 20511, 9319, 546, 3206, 4641, 287, 262, 1578, 1829, 2422, 13, 632, 44119, 379, 262, 2321, 3309, 590, 13741, 11117, 11, 810, 340, 2722, 262, 471, 13, 50, 13, 16854, 560, 7591, 1240, 11289, 13, 383, 2646, 468, 587, 42086, 416, 11009, 11, 10191, 11, 290, 9046, 329, 663, 4588, 319, 1230, 4788, 284, 4646, 262, 16815, 286, 7262, 287, 262, 6936, 3386, 13, 198, 198, 464, 39571, 1810, 318, 262, 17800, 286, 257, 2631, 397, 1118, 11289, 290, 33953, 15434, 329, 6705, 16854, 560, 27018, 290, 3806, 5646, 43965, 37406, 13, 632, 373, 19332, 329, 6705, 16854, 560, 27018, 379, 262, 7600, 400, 8581, 15434, 13, 198, 198, 21756, 198, 198, 818, 3050, 11, 15495, 11, 19244, 11255, 32862, 3967, 329, 2422, 3206, 14649, 11, 290, 8257, 11, 29088, 550, 379, 1551, 530, 18950, 3893, 8694, 49335, 3187, 329, 3519, 3403, 13, 220, 4418, 287, 3050, 11, 383, 2732, 286, 5947, 13686, 3136, 286, 513, 11, 22337, 649, 21832, 475, 6108, 262, 4036, 1271, 286, 21832, 284, 307, 5699, 284, 678, 11, 830, 13, 220, 2102, 11, 777, 3136, 8724, 287, 19131, 1028, 691, 35264, 25185, 13, 198, 198, 49771, 198, 464, 39571, 1810, 3033, 9299, 351, 11255, 422, 3294, 13737, 286, 262, 1578, 1829, 16657, 12700, 508, 16369, 262, 2995, 7346, 511, 21832, 13, 220, 5334, 3923, 905, 867, 2219, 13460, 11, 884, 355, 262, 3092, 286, 38424, 284, 281, 32521, 5316, 1080, 11, 41575, 271, 874, 1028, 13644, 2427, 286, 1028, 25185, 11, 262, 8889, 286, 12872, 7016, 290, 3518, 1337, 329, 13644, 11, 262, 14274, 521, 1068, 27647, 286, 25185, 6, 16179, 11, 290, 262, 4137, 38812, 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 ]

[ 6701, 5318, 526, 198, 198, 1722, 262, 2168, 2925, 319, 11, 12382, 4962, 465, 3241, 284, 4330, 1028, 262, 6481, 34377, 11, 6355, 995, 286, 3660, 5243, 13, 554, 530, 4471, 11, 339, 11185, 33444, 40110, 2736, 357, 21542, 416, 12277, 18927, 763, 12, 7364, 3271, 1012, 1697, 261, 828, 257, 1966, 16008, 286, 465, 422, 968, 5828, 508, 318, 783, 257, 4388, 11006, 311, 13, 360, 6, 36, 303, 6213, 20000, 14, 31224, 3334, 3961, 357, 4002, 355, 360, 6, 36, 303, 6213, 8, 318, 257, 1171, 9233, 1524, 1474, 6233, 3822, 11, 7492, 11, 1578, 1829, 13, 632, 318, 3017, 287, 262, 15375, 3418, 371, 12, 16, 1171, 1524, 4783, 13, 2893, 5637, 281, 1280, 1171, 1524, 1231, 17422, 393, 19972, 3722, 11, 360, 6, 36, 303, 6213, 9835, 9803, 1871, 262, 1353, 1802, 1029, 4266, 287, 262, 1294, 13, 360, 447, 247, 36, 303, 6213, 447, 247, 82, 8233, 43820, 27099, 422, 262, 4040, 286, 257, 13904, 6745, 284, 2251, 281, 366, 33645, 876, 9856, 2858, 1, 287, 262, 1903, 6303, 82, 13, 360, 447, 247, 36, 303, 6213, 447, 247, 82, 2462, 6704, 9119, 11, 3271, 311, 13, 360, 447, 247, 36, 303, 6213, 11, 3724, 287, 257, 6614, 7014, 878, 262, 6745, 338, 4040, 8724, 287, 262, 4388, 28547, 286, 262, 7492, 23006, 20357, 2191, 286, 9656, 290, 262, 45419, 1524, 13659, 262, 366, 18076, 1524, 1, 3722, 2672, 284, 10660, 663, 898, 8233, 15221, 351, 257, 1029, 4922, 286, 4925, 422, 262, 4783, 13, 198, 198, 18122, 198, 11006, 360, 6, 36, 303, 6213, 373, 14212, 287, 5742, 262, 7492, 23006, 20357, 2191, 286, 9656, 1716, 1099, 13, 679, 3724, 287, 257, 6614, 7014, 8972, 878, 262, 719, 1816, 656, 1245, 13, 198, 198, 2953, 262, 976, 640, 262, 7492, 23006, 20357, 2191, 373, 1016, 832, 262, 10828, 1429, 11, 262, 360, 1697, 1653, 3038, 1524, 287, 6233, 3822, 373, 965, 1397, 379, 262, 7095, 286, 663, 2524, 5339, 4955, 257, 509, 12, 23, 1430, 13, 554, 2882, 284, 262, 761, 284, 4292, 360, 1697, 1653, 338, 1430, 832, 1029, 1524, 11, 257, 1448, 286, 3397, 5150, 257, 5929, 13430, 290, 4664, 1029, 1524, 326, 561, 36867, 262, 767, 400, 290, 807, 400, 19051, 422, 360, 1697, 1653, 290, 751, 262, 1029, 1524, 379, 257, 2494, 286, 530, 9559, 1241, 583, 614, 13, 399, 3723, 2405, 262, 16204, 803, 4606, 11, 484, 8948, 281, 3586, 284, 262, 15375, 3418, 3961, 5926, 284, 8076, 355, 281, 9856, 3038, 1524, 351, 257, 2581, 284, 307, 3177, 329, 257, 17422, 1524, 611, 262, 9856, 3038, 2581, 373, 6699, 319, 3426, 1596, 11, 9656, 13, 198, 198, 464, 17422, 1524, 3586, 373, 6699, 416, 262, 1524, 3096, 319, 2805, 1596, 11, 9162, 11, 12988, 326, 262, 3721, 900, 6071, 287, 262, 17422, 3586, 550, 587, 6325, 355, 281, 9856, 3038, 13, 317, 34911, 286, 4547, 373, 4488, 319, 3035, 604, 11, 9162, 284, 4474, 262, 1524, 355, 281, 7552, 286, 262, 360, 1697, 1653, 1430, 351, 1583, 13, 22361, 44348, 11, 10033, 286, 360, 1697, 1653, 11, 355, 262, 10033, 29852, 1111, 4056, 329, 262, 9162, 1906, 21908, 1524, 614, 13, 198, 198, 818, 2932, 9162, 11, 262, 1524, 32400, 6097, 287, 262, 2615, 15734, 12030, 416, 15281, 20000, 3334, 3961, 379, 513, 2167, 2688, 3933, 358, 8878, 287, 8407, 11, 7492, 351, 663, 717, 1398, 286, 19646, 3915, 364, 290, 262, 14024, 290, 16974, 9559, 6097, 11172, 284, 262, 1524, 422, 262, 360, 1697, 1653, 1430, 13, 47352, 2707, 278, 812, 2497, 262, 717, 1398, 5963, 287, 9559, 1566, 262, 1524, 4983, 257, 1336, 767, 1906, 1065, 1430, 287, 262, 8309, 1906, 21113, 1524, 614, 13, 198, 198, 32, 6314, 2071, 3804, 416, 15375, 3418, 4446, 287, 7795, 10588, 257, 649, 2615, 329, 262, 1524, 11, 543, 4721, 379, 262, 1524, 338, 1944, 4067, 287, 5878, 13, 198, 198, 2202, 2693, 2242, 11, 2321, 11, 262, 1524, 373, 8672, 416, 3415, 4787, 4540, 16627, 8431, 1141, 465, 1923, 13, 198, 198, 21111, 385, 198, 198, 464, 15375, 3418, 1524, 4783, 9477, 220, 286, 262, 9566, 5452, 71, 1806, 263, 24576, 3119, 1141, 4958, 5410, 329, 262, 1989, 287, 262, 2739, 6303, 82, 13, 34068, 284, 1382, 262, 649, 7611, 547, 6325, 287, 257, 1524, 6314, 3071, 287, 7795, 13, 317, 8766, 31088, 10542, 1718, 1295, 287, 1903, 4751, 290, 262, 1524, 338, 4490, 4756, 373, 319, 2932, 1679, 11, 5878, 13, 198, 198, 464, 7611, 373, 3562, 416, 44289, 37329, 297, 1222, 29306, 13, 317, 1486, 20852, 1448, 326, 3017, 19702, 5583, 1866, 11, 7799, 11, 290, 3397, 3111, 351, 262, 1486, 1074, 284, 1205, 262, 1524, 338, 1486, 3721, 290, 4079, 15993, 8233, 10959, 13, 383, 1524, 338, 1486, 373, 636, 286, 262, 6244, 48064, 286, 3961, 21913, 1222, 29778, 19589, 416, 262, 4281, 286, 30038, 29118, 1345, 15672, 13, 198, 198, 28239, 198, 21926, 88, 1411, 286, 14024, 9559, 2444, 10428, 422, 360, 1697, 1653, 25335, 3961, 11, 360, 6, 36, 303, 6213, 338, 18476, 290, 3745, 263, 1524, 290, 262, 584, 24742, 1411, 14627, 832, 257, 4738, 22098, 393, 422, 33423, 8475, 287, 262, 22098, 5933, 13, 41040, 290, 19646, 9559, 13938, 318, 635, 832, 262, 4738, 22098, 1080, 290, 262, 1524, 857, 407, 8749, 20753, 706, 262, 3726, 286, 19646, 9559, 13, 220, 220, 198, 197, 198, 11522, 24188, 2864, 25, 198, 220, 197, 198, 5441, 13, 22, 4, 532, 43172, 14, 12256, 197, 198, 838, 13, 18, 4, 784, 16949, 197, 198, 860, 4, 532, 7740, 197, 198, 764, 23, 4, 784, 5510, 12, 7437, 197, 197, 198, 604, 13, 15, 4, 15237, 8425, 198, 4310, 13, 23, 4, 15396, 198, 3510, 13, 17, 4, 4257, 198, 198, 11627, 11510, 333, 41001, 4568, 198, 464, 1524, 11453, 15754, 286, 8233, 5745, 2351, 20000, 43680, 4041, 290, 8252, 12995, 383, 8326, 290, 2139, 5745, 1390, 4225, 529, 290, 262, 2297, 6372, 17582, 11421, 13, 48901, 9393, 416, 360, 6, 36, 303, 6213, 2444, 2291, 262, 360, 6, 36, 303, 6213, 3167, 5162, 786, 11, 281, 47833, 864, 10997, 4057, 431, 11, 290, 40902, 21127, 786, 11, 257, 4302, 11892, 1448, 13, 198, 198, 35, 6, 36, 303 ]

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

[ 49, 516, 34453, 461, 46150, 318, 262, 2524, 286, 281, 1593, 1855, 24611, 1748, 11, 5140, 1474, 3175, 988, 459, 305, 11, 5844, 660, 13, 632, 318, 262, 691, 1855, 24611, 1748, 284, 423, 11803, 16572, 13, 6363, 25451, 11, 503, 3157, 18573, 11, 25417, 84, 3166, 11, 290, 36343, 1678, 389, 17232, 739, 10081, 6800, 44657, 625, 517, 621, 362, 11, 830, 812, 13, 632, 373, 994, 11, 262, 6156, 7035, 1560, 514, 11, 326, 360, 1134, 8326, 666, 20620, 357, 1169, 35444, 327, 1186, 272, 7548, 286, 262, 15993, 8312, 5770, 29628, 893, 418, 290, 14075, 40925, 8, 373, 4642, 290, 810, 428, 1862, 5770, 9393, 465, 11386, 1748, 13, 317, 12505, 284, 20620, 373, 3170, 379, 262, 6716, 2574, 44705, 1552, 756, 652, 13, 632, 373, 635, 994, 326, 8982, 290, 262, 49974, 17712, 16675, 7193, 418, 11, 262, 582, 286, 22101, 11, 257, 5270, 878, 262, 44695, 1810, 13, 198, 198, 464, 6156, 3240, 373, 287, 779, 422, 12556, 1855, 24611, 2873, 32, 284, 18319, 1855, 24611, 6711, 33, 13, 1855, 24611, 7777, 290, 6483, 11, 290, 18369, 422, 262, 8312, 12505, 286, 360, 1134, 8326, 666, 20620, 423, 587, 22659, 515, 379, 262, 2524, 13, 198, 198, 18760, 2736, 2479, 9443, 220, 198, 198, 464, 14555, 3194, 4406, 33045, 262, 11892, 286, 360, 1134, 8326, 666, 20620, 379, 371, 516, 34453, 461, 46150, 1282, 422, 262, 2011, 66, 268, 3609, 272, 8312, 44800, 347, 22415, 379, 6102, 793, 418, 290, 3128, 284, 262, 1969, 286, 262, 327, 1186, 272, 19461, 7129, 357, 6888, 13, 36058, 11843, 828, 2158, 11, 13626, 1242, 290, 10959, 10691, 422, 477, 9574, 423, 587, 1043, 11, 9524, 326, 262, 2524, 373, 6899, 6972, 3690, 663, 2106, 13, 9754, 262, 749, 4950, 20316, 708, 37761, 262, 11892, 286, 360, 1134, 8326, 666, 20620, 318, 257, 3748, 3869, 290, 32630, 1185, 84, 5857, 286, 262, 5770, 925, 1275, 13, 20007, 11843, 13, 4091, 428, 290, 517, 7228, 379, 262, 13257, 287, 21131, 544, 13, 198, 198, 19895, 3609, 1435, 220, 198, 49, 516, 34453, 461, 46150, 373, 717, 22659, 515, 422, 45611, 12, 21, 416, 5199, 20765, 14548, 272, 21108, 290, 6219, 4100, 38, 359, 452, 2433, 38922, 286, 262, 3517, 3961, 379, 21891, 13, 5521, 373, 3767, 416, 406, 13, 367, 13, 49175, 3087, 290, 337, 13, 371, 13, 350, 2522, 321, 287, 20033, 12, 18, 11, 290, 318, 3058, 7924, 416, 449, 13, 317, 13, 4100, 38, 359, 452, 2433, 11, 406, 13, 367, 13, 49175, 3087, 290, 449, 13, 337, 13, 5809, 44483, 1201, 13540, 13, 198, 198, 5703, 5366, 286, 371, 516, 34453, 461, 46150, 318, 18632, 43578, 2522, 292, 11, 257, 9103, 24050, 1884, 284, 423, 587, 6692, 351, 262, 3240, 13, 44800, 317, 1035, 24370, 319, 6011, 8893, 422, 43578, 2522, 292, 389, 11032, 355, 29673, 329, 3175, 64, 1134, 459, 305, 416, 1793, 433, 290, 45674, 13, 198, 198, 464, 3175, 64, 1134, 459, 305, 30559, 4951, 373, 1043, 379, 371, 516, 34453, 461, 46150, 11, 45136, 748, 721, 4111, 416, 9482, 290, 35233, 1141, 281, 6156, 11796, 286, 262, 2524, 13, 198, 198, 12915, 19041, 2524, 220, 198, 198, 3633, 262, 24343, 1095, 286, 1568, 9574, 290, 2274, 19277, 2478, 423, 40157, 2092, 5043, 8057, 287, 5844, 660, 11, 523, 1290, 484, 423, 31348, 371, 516, 34453, 461, 46150, 351, 281, 1989, 286, 2026, 11, 830, 6616, 18985, 13, 6288, 11, 2158, 11, 257, 2839, 8517, 468, 587, 7520, 7170, 284, 1382, 257, 1588, 18473, 3716, 379, 15725, 1345, 25496, 11, 281, 1989, 543, 3407, 262, 1855, 24611, 36343, 1678, 290, 503, 3157, 5043, 13, 1052, 1895, 2975, 284, 3151, 262, 12600, 1989, 318, 6027, 832, 262, 6156, 1748, 13, 554, 3090, 284, 2478, 18895, 11, 3175, 988, 459, 305, 338, 25451, 290, 17475, 6832, 389, 635, 8556, 416, 257, 4485, 287, 5417, 1241, 2233, 284, 1957, 256, 478, 9229, 3842, 13, 198, 198, 19927, 220, 198, 198, 46898, 342, 72, 198, 44, 2879, 272, 5043, 287, 5844, 660, 198, 16979, 4817, 4113, 287, 6156, 10315, 198, 14282, 22331, 4113, 287, 10315, 11006, 360, 5889, 318, 281, 6802, 290, 9369, 286, 262, 2732, 286, 3683, 290, 3683, 4415, 6202, 379, 968, 1971, 2059, 13, 679, 6622, 257, 16394, 422, 262, 2059, 286, 3517, 9309, 290, 373, 4271, 257, 12829, 2888, 287, 262, 3961, 286, 3683, 379, 262, 2059, 286, 7943, 13, 679, 2727, 262, 17418, 14253, 11, 543, 318, 281, 18284, 5175, 2393, 7373, 3335, 3562, 284, 2251, 1957, 2393, 7373, 7686, 13, 632, 318, 7867, 416, 262, 3232, 17346, 290, 17418, 8829, 8650, 290, 318, 6823, 351, 257, 3232, 3683, 13789, 357, 37, 1847, 352, 13, 18, 737, 360, 5889, 318, 1090, 21592, 3437, 286, 7326, 22564, 11, 262, 5079, 1242, 290, 3037, 10876, 329, 262, 7325, 13936, 286, 7876, 1171, 2272, 13, 679, 318, 3058, 262, 11325, 286, 11536, 379, 48166, 13098, 43941, 13, 198, 198, 19927, 198, 198, 41506, 6117, 198, 12805, 52, 35262, 13118, 198, 28529, 5995, 7700, 198, 198, 36376, 661, 198, 21009, 286, 7943, 12829, 198, 7447, 259, 28375, 3961, 286, 17346, 11, 7868, 11, 290, 5524, 7712, 12829, 198, 17688, 286, 4082, 4814, 357, 19950, 661, 8, 15045, 3250, 318, 257, 20736, 12420, 1989, 379, 262, 2258, 2688, 26821, 286, 7491, 17299, 11, 3418, 30928, 11, 4492, 13, 198, 198, 15045, 3250, 318, 3562, 355, 257, 13347, 2055, 2478, 11, 17747, 286, 12420, 6608, 11, 5068, 6608, 11, 290, 257, 3450, 11515, 13, 632, 318, 530, 286, 262, 749, 2274, 13312, 287, 7491, 17299, 11, 1719, 32400, 287, 6244, 13, 198, 198, 464, 2524, 8698, 5125, 43025, 357, 19244, 16051, 8, 286, 1956, 11, 17747, 286, 25, 198, 5214, 35246, 533, 2688, 3250, 14812, 25, 379, 1551, 13037, 12420, 6608, 11, 257, 5022, 286, 5068, 6608, 11, 290, 584, 7291, 13, 198, 1105, 35246, 533, 2688, 3250, 10362, 12224, 25, 262, 717, 649, 3952, 284, 307, 2727, 287, 7491, 17299, 287, 262, 938, 1802, 812, 13, 198, 317, 4436, 2688, 3250, 9256, 11, 4721, 5472, 13, 198, 317, 1524, 11, 705, 15045, 3250, 8581, 3256, 4721, 5075, 198, 198, 464, 2688, 3250, 2478, 468, 1839, 1811, 2260, 13304, 11, 1390, 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 ]

[ 966, 810, 340, 1278, 1666, 26, 257, 6903, 286, 262, 4894, 318, 4145, 11513, 284, 1657, 13, 383, 11315, 286, 4894, 284, 1657, 4433, 257, 46538, 284, 307, 16968, 284, 1029, 5951, 11, 6032, 1875, 20343, 509, 13, 3457, 392, 45470, 32209, 423, 257, 1877, 29763, 516, 20179, 11, 838, 12, 1828, 46390, 641, 583, 40114, 11, 257, 1790, 2811, 5361, 1204, 11, 19683, 1906, 44688, 2250, 11, 220, 290, 257, 5365, 1877, 5001, 1575, 13, 198, 198, 464, 1115, 749, 2219, 3858, 286, 753, 392, 45470, 32209, 389, 3210, 753, 392, 45470, 32209, 11, 256, 2150, 26400, 10284, 6644, 32209, 11, 290, 4079, 273, 32209, 13, 8997, 753, 392, 45470, 32209, 423, 281, 20179, 286, 838, 12, 1558, 46390, 641, 583, 36416, 290, 257, 10869, 286, 19683, 1906, 44688, 2250, 13, 309, 2150, 26400, 10284, 6644, 32209, 423, 281, 20179, 286, 1105, 12, 1828, 46390, 641, 583, 36416, 290, 257, 10869, 286, 4751, 1906, 27559, 2250, 13, 9461, 4079, 273, 32209, 423, 281, 20179, 286, 1105, 12, 1129, 46390, 641, 583, 36416, 290, 257, 10869, 286, 4751, 1906, 23924, 2250, 13, 198, 198, 7293, 529, 42309, 1657, 34122, 220, 198, 37, 2290, 35414, 12019, 26161, 49961, 1657, 284, 7424, 1657, 13, 554, 1502, 284, 4439, 49961, 1657, 11, 28722, 5202, 832, 262, 42309, 20450, 290, 46592, 351, 27394, 23235, 13, 383, 17661, 351, 27394, 5640, 44378, 286, 22033, 1657, 284, 307, 2716, 26, 262, 22033, 1657, 318, 788, 11513, 284, 7424, 1657, 355, 340, 8318, 832, 262, 18431, 273, 26749, 287, 262, 5405, 12403, 13, 198, 198, 464, 11315, 1429, 329, 42309, 12019, 318, 517, 6942, 621, 262, 753, 392, 45470, 1429, 11, 7186, 287, 1679, 4, 286, 262, 2472, 2568, 13529, 973, 284, 7716, 1657, 357, 5589, 1144, 284, 642, 4, 329, 753, 392, 45470, 1657, 34122, 8, 290, 257, 838, 11, 830, 1711, 10869, 13, 383, 1844, 16001, 42309, 20450, 357, 34, 3697, 8, 3407, 262, 37448, 9580, 8692, 290, 7309, 5627, 11, 262, 7914, 2613, 459, 11, 290, 262, 42309, 20450, 543, 318, 7042, 656, 257, 23642, 5485, 13, 45097, 287, 3037, 423, 3142, 42309, 32209, 351, 3124, 5951, 290, 3124, 40570, 13975, 284, 753, 392, 45470, 12019, 13, 198, 198, 7293, 529, 42309, 32209, 389, 1695, 287, 257, 4996, 286, 12186, 290, 15268, 13, 2773, 423, 21103, 290, 2613, 5773, 15043, 5884, 11, 981, 1854, 389, 4553, 5086, 345, 284, 1487, 262, 12403, 1231, 5609, 262, 2613, 459, 13, 1318, 389, 635, 45239, 82, 28543, 287, 257, 5405, 13342, 11, 543, 804, 2092, 284, 10224, 753, 392, 45470, 1657, 34122, 13, 45239, 82, 4197, 749, 34609, 3562, 329, 753, 392, 45470, 32209, 11, 3584, 691, 617, 460, 307, 5391, 1150, 13, 198, 198, 28925, 20153, 290, 4765, 2191, 286, 4343, 220, 198, 464, 6682, 20153, 290, 4765, 2191, 286, 4343, 357, 14876, 13, 43, 13, 9796, 12, 15187, 8, 220, 8104, 503, 262, 2458, 287, 5520, 5115, 12019, 287, 262, 1578, 1829, 287, 11851, 6711, 11, 3834, 7839, 347, 13, 554, 428, 11, 262, 1180, 34122, 852, 5676, 416, 262, 5423, 2458, 389, 717, 5447, 13, 17159, 351, 2440, 5423, 852, 2727, 329, 34122, 11, 262, 2613, 5773, 389, 635, 2672, 284, 2620, 9332, 13, 632, 318, 635, 16493, 1626, 412, 22312, 4343, 326, 612, 389, 12019, 5359, 1626, 1171, 6832, 13, 383, 3611, 6168, 8694, 357, 38, 4090, 8, 900, 5288, 2568, 9332, 5423, 329, 40352, 9029, 11, 543, 3407, 2568, 6942, 12019, 34609, 290, 34122, 11, 1390, 262, 779, 286, 6682, 2907, 290, 5618, 6682, 8549, 6118, 357, 37, 39494, 8, 11032, 3186, 13, 198, 198, 25517, 392, 45470, 7108, 12, 448, 220, 198, 36, 22312, 4343, 900, 649, 2854, 5359, 329, 1728, 2219, 1657, 34122, 11, 10616, 326, 777, 34122, 1716, 6702, 1679, 12, 1270, 4, 517, 6942, 621, 262, 1657, 34122, 286, 3648, 416, 2321, 1906, 4967, 13, 14674, 11, 262, 6824, 286, 428, 373, 284, 2222, 656, 262, 1910, 517, 6942, 1657, 34122, 13, 2773, 649, 753, 392, 45470, 3186, 714, 307, 5495, 416, 262, 4050, 9667, 286, 262, 1099, 11, 1390, 257, 28287, 416, 3611, 13944, 326, 481, 10070, 262, 2033, 286, 2568, 2672, 13, 8504, 12, 1939, 392, 45470, 34122, 11, 884, 355, 16001, 42309, 357, 34, 3697, 8, 290, 1657, 48143, 288, 2101, 274, 357, 30465, 8, 1541, 1826, 262, 15917, 314, 5423, 5495, 13, 220, 2773, 2706, 3111, 284, 2245, 262, 4200, 286, 753, 392, 45470, 34122, 287, 24054, 286, 262, 5423, 2458, 13, 1114, 1672, 11, 262, 1363, 11705, 290, 13091, 1664, 314, 7336, 32, 41716, 503, 262, 4283, 290, 5466, 286, 753, 392, 45470, 34122, 379, 511, 7000, 287, 262, 1294, 290, 3340, 11, 3599, 287, 2932, 2813, 13, 198, 198, 7469, 917, 278, 286, 753, 392, 45470, 7108, 448, 198, 818, 3426, 2813, 11, 262, 471, 13, 50, 13, 3162, 47613, 276, 5394, 286, 412, 22312, 1657, 12, 15065, 65, 2854, 5359, 355, 636, 286, 262, 43419, 515, 37552, 2191, 287, 262, 2321, 2717, 4466, 13, 220, 41072, 32607, 282, 494, 13656, 357, 6286, 1679, 3267, 8235, 8, 318, 281, 3594, 14549, 290, 39597, 13, 1375, 31636, 287, 262, 1751, 338, 2168, 14668, 494, 449, 11, 383, 10776, 76, 2675, 17740, 11, 290, 5545, 262, 10078, 2749, 7093, 905, 3217, 10472, 13, 198, 198, 20457, 1204, 290, 3707, 198, 25392, 373, 4642, 287, 13709, 829, 10711, 31832, 290, 6348, 510, 287, 10016, 47538, 10932, 13, 1375, 9141, 370, 2860, 274, 9099, 4564, 286, 4492, 3961, 13, 2332, 2802, 2540, 2263, 607, 284, 10512, 6097, 287, 24423, 9319, 618, 673, 373, 3624, 13, 198, 198, 17784, 263, 198, 198, 818, 3050, 11, 13656, 373, 3350, 355, 262, 1388, 2095, 287, 262, 10078, 2749, 5581, 905, 14668, 494, 449, 11, 543, 4966, 329, 1115, 2168, 422, 2813, 284, 2211, 13, 554, 3090, 284, 2712, 262, 1085, 11, 673, 6264, 262, 7505, 3496, 11, 366, 818, 317, 6387, 338, 2159, 1911, 383, 7505, 14009, 373, 8720, 2716, 416, 7814, 13407, 11, 287, 8112, 351, 262, 7823, 13, 317, 34464, 2196, 286, 262, 3496, 318, 973, 329, 262, 14668, 494, 449, 3670, 8379, 13, 198, 198, 818, 2813, 673, 2540, 17728, 262, 10078, 2749, 9739, 11383, 3217, 10472, 7848, 7039, 1362 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 1498, 284, 466, 326, 837, 10148, 355, 258, 531, 290, 1816, 284, 651, 257, 5405, 286, 1660, 764, 9, 1635, 1635, 7559, 4295, 81, 361, 837, 1521, 466, 1312, 423, 284, 4745, 2402, 257, 13997, 284, 651, 1321, 319, 262, 14024, 1200, 5633, 25591, 3223, 3392, 389, 6011, 2063, 257, 1510, 611, 356, 460, 651, 1321, 319, 477, 3598, 286, 883, 3988, 764, 9930, 705, 297, 1021, 514, 257, 1510, 611, 674, 1321, 5983, 284, 511, 8006, 764, 10148, 672, 5507, 71, 25706, 1008, 18484, 379, 465, 9657, 537, 958, 40024, 415, 764, 15506, 345, 760, 1312, 423, 8722, 4379, 1613, 883, 16365, 13215, 837, 10148, 4295, 81, 361, 26300, 276, 837, 465, 7888, 837, 3016, 3124, 1203, 4190, 12462, 546, 465, 1986, 837, 530, 7586, 4151, 290, 530, 4171, 4151, 11065, 909, 5507, 71, 23176, 306, 764, 23108, 2993, 4295, 81, 361, 705, 82, 2081, 2479, 290, 339, 373, 299, 470, 5410, 284, 1560, 606, 764, 258, 635, 373, 299, 470, 5410, 284, 1560, 909, 5507, 71, 326, 339, 714, 299, 470, 766, 262, 14024, 1200, 837, 772, 981, 339, 373, 2354, 262, 16365, 705, 82, 4865, 764, 270, 373, 8458, 326, 511, 13997, 550, 4499, 286, 262, 1200, 290, 286, 465, 33875, 837, 2073, 484, 705, 67, 423, 1239, 1900, 286, 683, 290, 262, 3223, 9766, 76, 1872, 3972, 561, 307, 655, 355, 20109, 286, 262, 2933, 705, 82, 6224, 355, 262, 6016, 3392, 764, 15506, 290, 356, 389, 407, 3375, 8006, 837, 10787, 17481, 837, 10148, 4295, 81, 361, 35737, 878, 909, 5507, 71, 764, 7266, 7100, 781, 16296, 1239, 4054, 284, 4461, 909, 5507, 71, 705, 82, 3241, 837, 290, 4295, 81, 361, 2993, 340, 880, 764, 15506, 1312, 760, 484, 6227, 262, 7040, 286, 883, 1751, 837, 290, 1312, 423, 645, 2328, 329, 326, 764, 72, 760, 286, 867, 326, 389, 11694, 1973, 262, 1499, 1541, 764, 10148, 15506, 345, 705, 260, 20516, 621, 1312, 1807, 837, 10148, 909, 5507, 71, 39889, 837, 6666, 465, 6546, 285, 23968, 4891, 284, 865, 12535, 290, 262, 2769, 10153, 319, 465, 1986, 284, 20110, 257, 1310, 764, 15506, 4295, 81, 361, 837, 351, 534, 1321, 290, 644, 705, 82, 2406, 287, 422, 474, 418, 9520, 705, 82, 13997, 837, 356, 743, 307, 319, 674, 835, 284, 281, 2562, 1510, 764, 5832, 705, 297, 651, 257, 3621, 7202, 611, 356, 2277, 1414, 13647, 764, 10148, 672, 5507, 71, 13818, 379, 465, 898, 4939, 9707, 764, 9, 1635, 1635, 7559, 644, 389, 345, 1804, 994, 5633, 10148, 417, 9924, 837, 607, 4190, 45552, 29776, 290, 12049, 287, 21029, 290, 1115, 12, 8589, 18728, 837, 18484, 625, 262, 13990, 326, 7498, 6279, 4039, 705, 82, 18645, 764, 354, 324, 290, 474, 567, 1820, 550, 6807, 510, 13970, 607, 837, 21550, 300, 528, 705, 82, 7954, 1808, 764, 7091, 705, 67, 7247, 326, 1111, 6510, 547, 22804, 393, 739, 2156, 3251, 764, 15506, 1995, 550, 284, 467, 656, 15050, 695, 329, 38464, 764, 732, 10505, 4335, 503, 764, 9930, 1275, 299, 470, 2342, 514, 790, 1218, 837, 10148, 474, 567, 1820, 289, 18339, 764, 15506, 13769, 837, 345, 705, 260, 4385, 284, 307, 736, 612, 351, 262, 1334, 286, 262, 23909, 444, 764, 10148, 15506, 1312, 460, 20528, 1497, 1165, 837, 10148, 1288, 9924, 705, 82, 3809, 373, 3608, 290, 387, 6724, 774, 355, 673, 6235, 306, 6520, 284, 804, 379, 262, 734, 6510, 764, 15506, 655, 780, 345, 460, 1210, 656, 257, 547, 18829, 393, 4232, 857, 299, 470, 1612, 345, 423, 262, 1910, 1162, 15826, 319, 3608, 290, 1180, 764, 10148, 75, 528, 550, 257, 649, 3200, 837, 530, 673, 705, 67, 5071, 706, 4379, 326, 2933, 10303, 300, 7258, 710, 290, 607, 3397, 503, 286, 257, 9482, 2156, 837, 12655, 422, 12062, 284, 4268, 606, 656, 257, 2214, 764, 75, 528, 550, 11434, 300, 7258, 710, 379, 4129, 546, 340, 837, 290, 300, 7258, 710, 550, 3443, 6848, 326, 340, 373, 588, 7348, 44837, 3193, 832, 262, 1633, 764, 75, 22261, 290, 279, 2357, 474, 33807, 837, 300, 7258, 710, 705, 82, 3397, 837, 550, 299, 470, 12086, 881, 379, 477, 9305, 262, 4519, 837, 475, 300, 7258, 710, 550, 12086, 706, 257, 640, 764, 15506, 523, 837, 810, 318, 262, 16936, 1748, 422, 994, 5633, 10148, 75, 528, 1965, 764, 7091, 373, 379, 257, 21407, 12, 7091, 550, 645, 2126, 810, 673, 373, 290, 550, 299, 470, 20466, 284, 2050, 597, 8739, 878, 2406, 284, 12876, 9802, 764, 15506, 15050, 695, 318, 257, 1178, 4608, 7421, 837, 10148, 474, 567, 1820, 14593, 6235, 287, 262, 2642, 4571, 981, 442, 324, 3013, 291, 28970, 26625, 764, 15506, 31866, 837, 10148, 300, 528, 34042, 764, 15506, 340, 857, 299, 470, 2300, 764, 72, 460, 1064, 340, 329, 3589, 764, 10148, 4480, 326, 837, 673, 12120, 826, 878, 257, 19987, 547, 18829, 290, 427, 29554, 837, 5033, 4020, 23994, 290, 7348, 3812, 607, 8584, 1363, 287, 6279, 4039, 764, 7091, 705, 67, 787, 3352, 290, 2652, 287, 6279, 4039, 12, 1640, 783, 764, 43582, 838, 7559, 345, 892, 1312, 705, 297, 2526, 1972, 656, 517, 5876, 351, 2353, 9866, 1619, 43120, 826, 783, 5633, 10148, 354, 324, 465, 36622, 379, 474, 567, 1820, 837, 508, 5220, 484, 1560, 465, 2802, 837, 288, 46470, 546, 300, 528, 705, 82, 22375, 764, 15506, 655, 1394, 340, 5897, 764, 8727, 262, 5968, 16609, 326, 673, 460, 10921, 5633, 361, 673, 714, 466, 517, 621, 326, 837, 673, 561, 423, 1760, 340, 981, 356, 547, 612, 764, 38087, 502, 837, 356, 991, 423, 262, 6727, 1021, 12, 20839, 345, 766, 262, 835, 673, 373, 2045, 379, 514, 5633, 805, 837, 611, 3073, 714, 1494, 837, 10148, 442, 324, 442, 419, 992, 625, 300, 528, 705, 82, 848, 33715, 26206, 764, 15506, 290, 508, 27309, 588, 326, 287, 262, 3504, 286, 12062, 5633, 10148, 73, 567, 1820, 3013, 291, 28970, 764, 75, 528, 705, 82, 10012, 547, 3190, 15679, 329, 6155, 832, 8701, 88, 7201, 28191, 764, 15506, 484, 705, 260, 477, 28063, 764, 20839, 345, 3285, 644, 10033, 2855, 654, 531, 618, 285, 3808, 13, 3881, 2815, 1965, 611, 356, 815, 1309, 606, 1282, 284, 21571, 5633 ]

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

[ 8109, 1290, 4785, 621, 484, 550, 5938, 1854, 764, 14363, 46153, 12, 29199, 17841, 550, 44193, 832, 25144, 837, 7720, 832, 511, 4168, 2644, 393, 267, 78, 2736, 2644, 393, 4232, 19869, 511, 12076, 7582, 837, 9482, 606, 764, 258, 550, 13818, 290, 13818, 764, 1169, 16187, 550, 587, 1165, 264, 515, 422, 308, 2398, 278, 284, 1907, 736, 837, 511, 21144, 1108, 281, 49812, 305, 6381, 9607, 284, 26485, 837, 1642, 683, 44434, 517, 837, 517, 837, 517, 837, 290, 262, 2589, 339, 705, 67, 5201, 351, 262, 16187, 837, 339, 550, 2900, 465, 21343, 319, 262, 584, 9791, 2877, 287, 428, 7104, 13360, 837, 374, 2772, 375, 2890, 618, 484, 837, 1165, 837, 25421, 287, 2356, 764, 12518, 465, 16460, 373, 3443, 11378, 837, 339, 3088, 284, 2700, 607, 284, 2513, 736, 284, 262, 16669, 764, 1640, 262, 717, 640, 837, 673, 550, 1900, 644, 339, 373, 1804, 981, 339, 373, 1804, 340, 837, 607, 2000, 15487, 284, 2270, 663, 2792, 351, 1582, 271, 837, 290, 673, 705, 67, 8350, 683, 12, 392, 8350, 1327, 764, 586, 3358, 837, 355, 1128, 5807, 355, 339, 705, 67, 587, 837, 339, 705, 67, 1813, 510, 290, 35622, 284, 262, 736, 286, 607, 2000, 764, 2197, 673, 373, 379, 262, 7825, 290, 5059, 262, 357, 1790, 1267, 1323, 764, 82, 324, 306, 837, 607, 4330, 373, 299, 470, 1865, 1760, 764, 8117, 373, 281, 14836, 15050, 14320, 262, 16669, 290, 607, 7393, 837, 2111, 284, 2834, 607, 5699, 290, 5699, 764, 7091, 373, 299, 470, 1654, 703, 881, 2392, 673, 714, 4180, 764, 372, 12098, 547, 37624, 12, 1662, 326, 673, 2993, 703, 284, 6129, 1231, 26485, 705, 82, 11154, 12, 392, 996, 484, 561, 12035, 287, 257, 1178, 2250, 837, 484, 547, 3058, 5906, 284, 1745, 607, 3463, 764, 24219, 837, 673, 18735, 607, 18728, 656, 262, 2323, 290, 5257, 284, 3105, 607, 12858, 764, 35436, 12611, 515, 287, 607, 11945, 764, 7091, 1067, 24431, 355, 673, 2900, 2644, 2900, 2644, 290, 2540, 284, 13819, 1497, 287, 262, 6697, 4571, 764, 8505, 764, 8505, 5145, 1462, 467, 736, 837, 772, 284, 766, 1582, 271, 837, 284, 910, 24829, 837, 284, 9245, 683, 530, 938, 640, 837, 284, 787, 1842, 284, 683, 837, 373, 284, 11116, 5223, 764, 392, 996, 673, 373, 26194, 837, 11752, 837, 373, 673, 26194, 837, 673, 550, 284, 466, 428, 764, 1640, 683, 764, 1640, 1341, 5948, 764, 19052, 1067, 261, 385, 4499, 286, 607, 6654, 837, 1807, 284, 6878, 1582, 271, 290, 2067, 10427, 607, 13042, 477, 625, 757, 764, 361, 673, 714, 3151, 9426, 268, 837, 15054, 378, 290, 1494, 683, 878, 1067, 261, 385, 6939, 673, 373, 3750, 837, 673, 561, 299, 470, 423, 284, 10081, 7234, 683, 837, 290, 262, 1175, 1022, 262, 33200, 290, 262, 21490, 561, 379, 938, 886, 764, 10197, 611, 262, 28356, 286, 2911, 1239, 1297, 607, 810, 607, 6621, 373, 837, 339, 714, 299, 470, 5938, 262, 2576, 611, 339, 373, 2636, 764, 5562, 561, 423, 284, 34302, 764, 5898, 20214, 22211, 837, 13665, 3364, 607, 503, 286, 607, 2000, 764, 8117, 547, 9791, 2157, 607, 837, 673, 6939, 837, 1708, 607, 764, 7091, 750, 299, 470, 423, 284, 16086, 736, 284, 760, 484, 547, 6565, 12, 18834, 10835, 351, 264, 16406, 837, 12768, 12, 83, 600, 276, 4168, 290, 39940, 326, 6626, 656, 15274, 286, 1440, 837, 1123, 9639, 351, 26811, 12, 48554, 277, 27725, 764, 9930, 547, 25542, 1231, 257, 18346, 837, 262, 2910, 286, 511, 5775, 511, 2723, 286, 1204, 764, 64, 1178, 2745, 2084, 837, 26485, 550, 7425, 379, 511, 1413, 837, 4305, 2910, 290, 1918, 287, 465, 7765, 764, 1659, 1781, 837, 326, 4001, 33721, 13713, 12, 1169, 1986, 262, 13644, 550, 1775, 12, 18108, 1716, 4472, 530, 764, 9930, 705, 67, 587, 2485, 768, 329, 607, 1683, 1201, 837, 290, 561, 423, 7384, 262, 16669, 611, 407, 329, 262, 44671, 75, 764, 1169, 14960, 284, 1057, 373, 3016, 45420, 764, 6738, 262, 41226, 274, 607, 3222, 550, 1813, 607, 286, 777, 8109, 837, 673, 2993, 703, 484, 705, 67, 34275, 287, 262, 1613, 837, 2993, 703, 40618, 306, 484, 705, 67, 2923, 764, 74, 3605, 484, 8359, 262, 15505, 517, 621, 484, 8359, 262, 17968, 764, 568, 3863, 611, 673, 4030, 257, 9480, 1182, 837, 3863, 611, 673, 9658, 319, 607, 1459, 3108, 837, 484, 705, 67, 4425, 1393, 287, 607, 764, 43669, 837, 3863, 764, 1662, 764, 15506, 345, 1718, 674, 264, 824, 18809, 408, 82, 837, 4048, 764, 2197, 345, 1716, 674, 264, 45163, 1015, 764, 10148, 5562, 300, 8802, 1625, 12537, 286, 465, 277, 27725, 837, 543, 26790, 379, 262, 2456, 355, 484, 9349, 764, 15506, 262, 1243, 824, 356, 705, 297, 466, 284, 345, 2644, 10148, 257, 10488, 3013, 15799, 764, 15506, 262, 264, 824, 36277, 824, 82, 345, 705, 297, 10517, 2644, 10148, 6011, 645, 10971, 837, 475, 5637, 4047, 708, 40881, 284, 511, 790, 1445, 837, 673, 4137, 5223, 18485, 290, 18485, 422, 262, 16669, 764, 372, 21334, 2627, 18646, 837, 262, 1633, 29175, 837, 629, 4714, 351, 2910, 290, 584, 1243, 764, 7091, 17286, 276, 30935, 286, 11945, 837, 46153, 12, 25717, 47339, 837, 33932, 82, 326, 43908, 422, 262, 28552, 286, 1588, 837, 23470, 38556, 764, 7091, 550, 645, 3777, 837, 290, 373, 299, 470, 3446, 1654, 810, 262, 13360, 705, 82, 8420, 373, 12, 8807, 2993, 340, 373, 994, 780, 1067, 261, 385, 550, 3181, 607, 832, 981, 673, 373, 10663, 12, 16796, 837, 290, 13769, 837, 703, 2073, 561, 1582, 271, 290, 465, 1545, 423, 5982, 5633, 532, 273, 810, 287, 262, 27636, 673, 561, 1306, 1064, 5223, 764, 21754, 423, 11434, 1582, 271, 764, 71, 521, 18627, 25669, 764, 15506, 331, 408, 82, 837, 1394, 6155, 837, 4048, 764, 5832, 705, 260, 9153, 37786, 42729, 329, 674, 1413, 764, 10148, 35310, 393, 6486, 5633, 18351, 776, 373, 645, 1037, 428, 640, 764, 21754, 673, 2245, 5633, 15481, 606, 5633, 372, 2116, 12, 19774, 4678, 547, 47623, 837, 6402, 673, 550, 5876, 22486, 607, 3463, 764, 3919, 2300, 644, 673, 750, 393, 810, 673, 1816, 837, 262, 1450, 547, 1016, 284, 1368, 607, 837, 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 ]

[ 764, 2564, 2540, 284, 1781, 832, 607, 837, 35722, 803, 262, 25303, 351, 663, 1176, 764, 1616, 502, 503, 5145, 9460, 494, 705, 82, 14043, 3420, 13112, 1280, 290, 673, 40424, 656, 262, 2119, 837, 607, 2266, 4190, 49164, 4980, 2157, 607, 588, 257, 39518, 42467, 764, 10919, 705, 82, 2642, 5633, 7091, 531, 837, 15795, 284, 9810, 494, 705, 82, 1735, 764, 2290, 42749, 7342, 607, 351, 33214, 2951, 764, 533, 345, 23036, 5633, 72, 705, 76, 3734, 837, 9810, 494, 8712, 837, 262, 8993, 523, 45061, 326, 673, 750, 407, 1254, 14934, 379, 262, 1090, 83, 1108, 287, 607, 3809, 764, 72, 765, 284, 2666, 764, 47408, 5633, 9460, 494, 705, 82, 2951, 36405, 764, 270, 705, 82, 845, 2739, 764, 14150, 345, 550, 281, 4578, 351, 12, 607, 3809, 373, 2005, 572, 355, 300, 2724, 292, 21376, 465, 18606, 656, 262, 3420, 837, 262, 7812, 30999, 286, 262, 4735, 3420, 14535, 39915, 832, 262, 1633, 764, 9460, 494, 705, 82, 1402, 1767, 474, 349, 1513, 287, 5975, 290, 673, 18484, 379, 262, 6451, 9694, 3420, 351, 36405, 2951, 764, 82, 2522, 494, 3114, 510, 379, 683, 287, 6380, 837, 607, 5422, 7463, 1280, 379, 262, 12245, 287, 465, 2951, 764, 7091, 2716, 262, 5412, 290, 10764, 1497, 764, 258, 5710, 465, 1021, 422, 607, 3211, 290, 24650, 465, 5101, 1973, 465, 7721, 764, 9460, 494, 14464, 607, 1182, 764, 258, 318, 7954, 764, 270, 373, 407, 257, 1808, 764, 82, 2522, 494, 2900, 284, 607, 764, 7091, 373, 2045, 379, 262, 3420, 351, 257, 1402, 8212, 837, 262, 6380, 319, 607, 1986, 6928, 351, 30184, 764, 2093, 607, 284, 2666, 837, 300, 2724, 292, 531, 12703, 837, 2045, 379, 9810, 494, 764, 72, 460, 407, 1302, 607, 18149, 826, 783, 764, 72, 24486, 299, 470, 837, 9810, 494, 8712, 837, 290, 4194, 494, 27846, 379, 607, 837, 607, 8212, 38118, 764, 5832, 705, 260, 257, 25258, 578, 837, 300, 2724, 292, 764, 5832, 1560, 502, 284, 307, 8161, 764, 5832, 1561, 546, 534, 10135, 764, 4360, 345, 991, 719, 588, 257, 34781, 1200, 764, 1169, 2456, 547, 2406, 1231, 1807, 837, 475, 673, 750, 407, 2245, 764, 2411, 2086, 1093, 36622, 656, 607, 1767, 355, 3538, 355, 262, 2456, 35456, 503, 837, 530, 13586, 262, 584, 837, 12591, 607, 510, 764, 5832, 389, 1464, 7954, 837, 673, 3767, 764, 32604, 764, 82, 2595, 913, 764, 5832, 910, 345, 705, 303, 4499, 837, 475, 345, 423, 299, 470, 764, 964, 1201, 1312, 1138, 345, 837, 1312, 705, 303, 2936, 340, 1165, 764, 1169, 8993, 764, 270, 705, 82, 588, 257, 4369, 764, 72, 423, 1239, 587, 1498, 284, 2740, 523, 34425, 284, 616, 1641, 837, 475, 783, 1312, 466, 764, 270, 5300, 922, 287, 262, 2589, 475, 612, 318, 1464, 14934, 706, 837, 290, 262, 14934, 18017, 262, 8993, 764, 27903, 284, 2740, 534, 2000, 621, 284, 423, 883, 1088, 345, 837, 534, 898, 1641, 837, 2190, 345, 355, 484, 561, 281, 19125, 2156, 12, 6449, 764, 14363, 2456, 336, 2150, 837, 475, 673, 750, 407, 24215, 353, 764, 265, 644, 10907, 5633, 7091, 1965, 764, 25159, 534, 2000, 743, 423, 663, 4113, 837, 475, 284, 8856, 262, 1245, 319, 883, 1088, 345, 318, 20363, 764, 9460, 494, 705, 82, 2951, 547, 3867, 422, 9810, 494, 284, 262, 3420, 837, 17261, 326, 300, 2724, 292, 550, 3888, 284, 1302, 1474, 262, 3084, 837, 465, 736, 2900, 284, 606, 290, 465, 1182, 35737, 764, 372, 1986, 373, 4622, 10416, 837, 21619, 1431, 837, 290, 9810, 494, 12086, 326, 673, 373, 4379, 290, 4854, 644, 561, 2128, 588, 257, 530, 12, 22339, 5273, 764, 2290, 74, 562, 9109, 547, 645, 517, 621, 9550, 284, 607, 764, 7091, 2900, 607, 2951, 736, 284, 683, 764, 258, 373, 4964, 607, 837, 281, 555, 46155, 5408, 319, 465, 1986, 764, 18217, 594, 5901, 262, 1402, 36856, 837, 407, 772, 262, 2128, 286, 262, 2344, 41847, 262, 7714, 764, 292, 673, 7342, 606, 837, 465, 2951, 41534, 837, 465, 5422, 26929, 510, 287, 262, 9082, 286, 257, 8212, 290, 339, 23831, 1028, 262, 3084, 764, 4053, 837, 1312, 1975, 345, 743, 423, 1043, 257, 588, 12, 14543, 35552, 837, 788, 837, 339, 531, 837, 788, 45320, 4194, 494, 6235, 306, 764, 7091, 705, 82, 826, 837, 9810, 494, 7082, 764, 1219, 837, 389, 345, 3375, 546, 502, 5633, 9460, 494, 705, 82, 3809, 373, 1029, 290, 607, 2832, 547, 1319, 14146, 764, 5661, 318, 523, 6283, 764, 10919, 318, 339, 2282, 5633, 72, 4601, 345, 705, 67, 3551, 340, 866, 837, 300, 4649, 764, 72, 705, 76, 1654, 340, 705, 82, 262, 976, 1517, 339, 1139, 284, 502, 618, 1312, 651, 319, 683, 764, 8117, 389, 1661, 618, 339, 2925, 329, 2745, 1231, 2282, 257, 1573, 284, 502, 764, 732, 2573, 837, 9810, 494, 5100, 6364, 837, 48847, 300, 2724, 292, 764, 258, 28271, 290, 837, 351, 257, 19680, 837, 2900, 284, 262, 3348, 319, 262, 3084, 764, 7091, 7342, 355, 339, 629, 49263, 257, 1178, 2456, 1973, 262, 2443, 837, 4634, 262, 3112, 866, 7773, 618, 339, 373, 832, 764, 9460, 494, 3888, 3812, 262, 3084, 837, 21804, 625, 290, 3555, 262, 2456, 764, 7091, 6150, 10574, 837, 996, 517, 621, 1576, 640, 550, 3804, 329, 607, 284, 1100, 262, 3275, 764, 2290, 42749, 686, 2434, 262, 1402, 9592, 764, 8499, 644, 3947, 588, 2250, 837, 9810, 494, 753, 704, 5699, 284, 262, 3084, 810, 4194, 494, 6204, 351, 530, 1021, 12070, 1028, 607, 5422, 764, 1662, 4953, 329, 281, 17023, 837, 673, 23831, 1088, 607, 837, 965, 1397, 284, 766, 262, 3348, 764, 7091, 318, 826, 764, 5832, 10925, 1365, 621, 644, 1312, 1577, 345, 764, 72, 716, 7926, 329, 326, 764, 372, 26928, 2823, 510, 287, 5975, 290, 673, 302, 12, 961, 262, 2456, 1811, 1661, 878, 1278, 5077, 379, 4194, 494, 764, 4480, 607, 1021, 991, 625, 607, 5422, 837, 4194, 494, 2900, 607, 2951, 284, 9810, 494, 837, 262, 6016, 4077, 39072, 351, 9942, 764, 259, 281, 9113, 837, 673, 550, 8754, 503, 607, 5101, 290, 12908, 606, 1088, 9810, 494, 705, 82, 16139, 837, 46292, 607, 1969, 764, 13271, 495, 286, 703 ]

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

[ 4952, 5966, 3281, 475, 10722, 2367, 5966, 3281, 326, 340, 373, 257, 530, 12, 2364, 290, 319, 513, 2805, 3648, 11, 484, 651, 6405, 379, 367, 4728, 33432, 4452, 13, 11450, 326, 1110, 11, 484, 423, 257, 362, 358, 10542, 379, 5995, 11272, 355, 6159, 460, 1560, 511, 3397, 484, 423, 1541, 6405, 13, 198, 198, 818, 2901, 11, 24721, 13691, 6559, 357, 16305, 1820, 7178, 904, 8, 3607, 4082, 284, 42657, 290, 2448, 9892, 338, 3367, 532, 673, 4987, 284, 307, 511, 37660, 618, 484, 547, 991, 1978, 13, 24721, 290, 42657, 4987, 284, 5298, 262, 1200, 1978, 290, 1249, 2448, 9892, 1895, 475, 24721, 2458, 607, 2000, 618, 673, 7228, 503, 546, 42657, 290, 3362, 338, 530, 12, 3847, 1302, 13, 24721, 750, 407, 1560, 2448, 9892, 286, 607, 3352, 284, 1577, 607, 262, 5156, 11, 523, 706, 13630, 262, 5156, 287, 262, 736, 286, 9308, 2677, 338, 357, 13448, 679, 3400, 8, 1097, 11, 673, 9512, 42657, 351, 262, 1705, 475, 318, 9431, 416, 24721, 290, 9308, 284, 2666, 351, 262, 5156, 13, 5966, 3281, 11, 2158, 11, 17567, 284, 1975, 326, 3362, 750, 407, 9828, 42657, 475, 318, 2406, 2835, 1566, 339, 7224, 3362, 290, 42657, 16225, 13, 4900, 11, 3362, 531, 2147, 550, 3022, 290, 339, 550, 407, 36564, 515, 262, 16225, 11, 5966, 3281, 1297, 3362, 326, 339, 714, 645, 2392, 3774, 683, 290, 5667, 379, 262, 886, 286, 262, 1227, 13, 679, 1568, 13399, 4737, 329, 257, 13609, 13, 198, 198, 818, 3269, 3717, 11, 5966, 3281, 7007, 484, 1969, 511, 6466, 3331, 1848, 13, 3362, 338, 2460, 11, 20037, 18971, 3245, 357, 43227, 26070, 8, 290, 1004, 2645, 64, 45732, 357, 49, 23536, 18381, 19830, 828, 4379, 703, 9247, 339, 318, 13267, 284, 1949, 284, 33570, 683, 290, 5966, 3281, 13, 770, 5640, 5966, 3281, 338, 2802, 11, 30223, 11, 284, 3187, 13, 2293, 4238, 10802, 11, 3362, 9120, 728, 30223, 326, 339, 991, 10408, 5966, 3281, 11, 508, 468, 3888, 284, 4505, 13, 679, 3352, 284, 3067, 284, 4505, 284, 1949, 284, 17884, 465, 2776, 351, 5966, 3281, 11, 475, 465, 2802, 3254, 12868, 446, 357, 37136, 6912, 16239, 8, 7363, 290, 4952, 683, 326, 34895, 468, 257, 2612, 4006, 11, 7725, 284, 2245, 683, 4305, 981, 20037, 3011, 287, 3638, 351, 5966, 3281, 290, 5240, 6231, 257, 3249, 1022, 683, 290, 3362, 13, 2893, 484, 1111, 1842, 1123, 584, 11, 3362, 4952, 5966, 3281, 339, 2314, 2666, 2295, 647, 14597, 780, 286, 465, 2988, 338, 4006, 13, 2102, 11, 319, 262, 1110, 5966, 3281, 318, 2233, 284, 6129, 503, 11, 3362, 7228, 503, 465, 2802, 373, 9105, 290, 5667, 329, 4505, 198, 198, 3041, 4516, 198, 2202, 513, 2805, 3648, 11, 3362, 290, 5966, 3281, 925, 3517, 5581, 2106, 416, 5033, 262, 717, 3155, 319, 257, 2684, 8079, 19533, 27296, 284, 3802, 257, 3026, 10413, 1201, 262, 7511, 23270, 2191, 5472, 1625, 656, 2700, 319, 642, 3426, 5075, 13, 4900, 5243, 19533, 383, 943, 3533, 290, 32899, 19533, 28274, 550, 4271, 8096, 3026, 22867, 11, 2295, 647, 14597, 373, 262, 717, 2684, 8079, 19533, 27296, 284, 466, 523, 13, 9308, 347, 577, 11, 508, 5341, 3362, 11, 531, 339, 373, 366, 79, 5493, 1, 2295, 647, 14597, 373, 262, 717, 11, 290, 16476, 326, 523, 1686, 22405, 11, 4186, 11, 393, 19919, 2688, 743, 3522, 284, 25, 198, 198, 21191, 879, 198, 22405, 2688, 11, 352, 301, 21770, 2688, 357, 1485, 2996, 1906, 1415, 2713, 8, 198, 22405, 2688, 11, 362, 358, 21770, 2688, 357, 1485, 6420, 14, 17, 1906, 1415, 1433, 8, 198, 22405, 2688, 11, 807, 400, 21770, 1024, 4689, 1810, 81, 357, 66, 13, 1478, 3553, 1906, 1314, 1495, 828, 2184, 959, 290, 2422, 11561, 198, 22405, 2688, 11, 860, 400, 21770, 1024, 4689, 1810, 81, 357, 66, 13, 1478, 2425, 1906, 1314, 4051, 8, 198, 22405, 2688, 11, 362, 358, 21770, 1024, 4689, 1810, 81, 357, 66, 13, 1315, 3980, 1906, 1433, 2999, 828, 4904, 329, 13709, 829, 10711, 11, 2888, 286, 10674, 314, 338, 4389, 7670, 4281, 198, 22405, 2688, 11, 513, 4372, 21770, 1024, 4689, 1810, 81, 357, 1314, 3324, 1906, 1433, 1507, 828, 3594, 805, 706, 4150, 19603, 373, 3706, 198, 198, 43921, 290, 1099, 198, 22405, 2688, 357, 7378, 329, 9334, 39773, 8, 357, 67, 798, 1467, 1507, 828, 10239, 286, 8411, 357, 7378, 8, 329, 9334, 39773, 198, 22405, 2688, 357, 7378, 3724, 1467, 1828, 828, 3594, 14971, 26, 4904, 329, 609, 14234, 1706, 11, 14526, 290, 13910, 198, 22405, 2688, 357, 38036, 14971, 8, 357, 1507, 1270, 1906, 1507, 4846, 828, 968, 2520, 11769, 14971, 198, 22405, 376, 13, 2688, 357, 1507, 4524, 12, 1129, 3132, 828, 1605, 6853, 26, 5953, 4796, 286, 262, 4744, 5617, 3078, 220, 198, 22405, 402, 13, 2688, 357, 6286, 15761, 828, 1605, 6240, 286, 4819, 198, 22405, 2688, 357, 7437, 14971, 8, 357, 6286, 17575, 828, 1605, 14971, 287, 262, 6835, 2097, 286, 17132, 198, 198, 18153, 198, 13787, 1820, 2688, 357, 8692, 1894, 828, 1605, 9283, 4706, 357, 5275, 28684, 1906, 3510, 8, 287, 22458, 520, 13, 5593, 18071, 1622, 198, 13787, 1820, 2688, 357, 7437, 4346, 8, 357, 6286, 24718, 828, 1605, 4346, 3985, 198, 13787, 2688, 357, 2143, 1525, 6441, 8, 357, 6286, 8235, 828, 3594, 22948, 6441, 2137, 198, 198, 25599, 198, 22405, 2688, 357, 3448, 395, 8, 357, 1558, 1238, 1906, 1558, 3720, 828, 11905, 11503, 11, 1772, 11, 290, 27233, 3699, 198, 22405, 3700, 2688, 357, 1507, 2816, 1906, 1129, 1433, 828, 3594, 12, 6286, 21421, 19500, 198, 22405, 36776, 2688, 357, 1129, 1983, 1906, 10333, 828, 3517, 47898, 198, 13787, 2688, 357, 1129, 2670, 1906, 9804, 828, 1605, 1579, 7451, 290, 20281, 286, 262, 44127, 1906, 14463, 1729, 12, 24046, 1492, 383, 8653, 286, 257, 968, 10850, 198, 13787, 1820, 2688, 357, 18230, 2189, 8, 357, 1129, 3682, 1906, 1238, 2481, 828, 1605, 2647, 4640, 198, 54, 13, 5658, 2688, 357, 6286, 21577, 828, 471, 13, 50, 13, 3701, 5221, 2276, 11, 11946, 355, 18501, 1086, 1071, 47102, 25, 2851, 338, 15067, 319, 262, 3002, 1242, 290, 287, 12, 6057, 355, 18501, 1086, 1071, 338, 2851, 338, 15067, 393, 2094, 1086 ]

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